𝕿𝖊𝖈𝖍𝖗𝖎𝖌𝖍𝖙𝖘 Bulletin for Monday, January 10, 2022

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Generated Tue 11 Jan 02:41:12 GMT 2022

Created by Dr. Roy Schestowitz (𝚛𝚘𝚢 (at) 𝚜𝚌𝚑𝚎𝚜𝚝𝚘𝚠𝚒𝚝𝚣 (dot) 𝚌𝚘𝚖)

Full hyperlinks for navigation omitted but are fully available in the originals

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Gemini index for the day: gemini://gemini.techrights.org/2022/01/10/

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

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QmarLrYBMcbMFgab1qAkPGRjRr57niwUpd5PEPbMp8225S

QmYYUiUwcwdiuMNs9EXu5Ci3ELNhZcY4b7JsFUZqp7drnc

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

⦿ EPO Has Patent Management System (PMS), But You Must be a Microsoft Customer and Run Malicious, Back-Doored Operating System | Techrights

⦿ IRC Proceedings: Sunday, January 09, 2022 | Techrights

⦿ Microsoft GitHub Exposé — Part XIV — Gaslighting Victims of Sexual Abuse and Violence | Techrights

⦿ Twitter is Silencing Victims of Sexual Abuse to Protect Violent Men Who Assault Women (Also: GitHub/Microsoft Employees Too Have Complained About the Perpetrator) | Techrights

⦿ How Twitter Helps Perpetrators of Sexual Violence | Techrights

⦿ Reducing Overhead Associated With Video Production | Techrights

䷼ Bulletin articles (as HTML) to comment on (requires login):

	http://techrights.org/2022/01/10/epo-patent-management-system/#comments

	http://techrights.org/2022/01/10/irc-log-090122/#comments

	http://techrights.org/2022/01/10/sexual-abuse-and-violence-github/#comments

	http://techrights.org/2022/01/10/twitter-streisand/#comments

	http://techrights.org/2022/01/10/twitter-victim-gagging/#comments

	http://techrights.org/2022/01/10/video-production-shell-awk/#comments

䷞ Followed by Daily Links (assorted news picks curated and categorised):

	http://techrights.org/2022/01/10/dragonfly-bsd-6-2/#comments

                ䷩ 𝚕𝚒𝚗𝚎 62

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(ℹ) Images, hyperlinks and comments at http://techrights.org/2022/01/10/epo-patent-management-system/#comments

Gemini version at gemini://gemini.techrights.org/2022/01/10/epo-patent-management-system/

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Gemini_version_available_♊︎

✐ EPO_Has_Patent_Management_System_(PMS),_But_You_Must_be_a_Microsoft_Customer

and_Run_Malicious,_Back-Doored_Operating_System⠀✐

Posted in Europe, Microsoft, Patents at 2:01 pm by Dr. Roy Schestowitz

Video_download_link | md5sum 3c61e4c110ee97de9bf56d5f7d9a152c

EPO: Become a Customer of Microsoft

Creative Commons Attribution-No Derivative Works 4.0

http://techrights.org/videos/microsoft-binaries-epo.webm

Summary: The EPO has been outsourced to Microsoft, an American company, and it

moreover demands that people adopt a hostile operating system of Microsoft in

order to use the EPO’s official Patent Management System (PMS)

TODAY we noticed the EPO‘s “update” (warning: epo.org link) on its PMS, the

Patent Management System, which turns out to be proprietary Windows binary/

binaries. That’s consistent with the Microsoft love-affair of Benoît

Battistelli and António_Campinos (criminal corporations attract criminal

leadership).

“…Microsoft uses the EPO not just for industrial espionage, as we noted

yesterday, but also as a Trojan horse for Microsoft’s vendor lock-in.”Windows

has about_70%_of_the_desktop/laptop_market and vastly_less_when_one_considers

phones_and_tablets (among other form factors that are reasonably potent for

some work). So it seems like Microsoft uses the EPO not just for industrial

espionage, as_we_noted_yesterday, but also as a Trojan horse for Microsoft’s

vendor lock-in.

🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇European software patents and Korean software patents⦈ We

saw the same thing in the U.S. Patent and Trademark Office (USPTO), where

people will_get_penalised_financially_if_they_don't_use_Microsoft's_proprietary

formats and where President Biden plans to put Microsoft_Vidal in charge. She

already expresses hostility towards 35 U.S.C. § 101/Alice (SCOTUS), or in other

words a plan to boost software patents in the US. Apropos, at the very front

page of the EPO right now (at the top) we have the carousel item shown to the

right, basically promoting European_software_patents and Korean software

patents using a bunch of meaningless buzzwords. Later in the week we’ll show

similar misuse of buzzwords by the EU. █

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⣍⢨⣉⡅⣠⠀⠀⣍⢩⢀⡄⠉⢠⡀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿

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⣋⢘⣉⡃⣙⠘⠁⠀⠘⠈⠃⠛⠘⠁⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿

⠤⠰⠤⠆⠬⠠⠄⠦⠴⠠⠄⠤⠰⠄⠀⠽⠩⠍⠯⠉⠩⠍⠭⠩⠍⠯⠉⠩⠍⠭⠩⠍⠉⠉⠉⠉⠯⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿

⣀⢀⢀⡀⣀⢀⡀⣀⢀⢀⡀⣀⢀⡀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿

⠭⠈⠠⡅⠉⠨⠅⡥⢨⠠⡅⠉⢨⠄⡅⢭⠠⠄⡤⢠⠤⠄⠀⠀⠀⡄⢤⠠⠄⠤⢠⠤⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿

⡀⠀⠀⠀⢀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿

⣭⠀⠀⡄⣭⢨⡅⡄⢠⢠⡄⠀⢠⠀⡄⢠⠀⠀⣤⢠⠀⠀⣤⢠⡄⠀⢠⢠⡄⠀⢠⠀⡄⣤⢠⡄⡤⢠⠀⠀⣤⢠⡄⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿

⠀⠰⠂⠀⠲⠰⠂⠆⠰⠀⠀⠒⠰⠂⠆⠲⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿

⣀⠀⢀⡄⠀⠀⠀⠀⢠⢀⡄⣀⢠⡀⡄⠀⢀⡀⣄⢠⢀⡄⣀⢀⡀⣄⣠⢀⡀⣀⢠⡀⡄⣠⢀⡀⣀⢠⢀⡀⣀⢠⡀⡄⠀⠀⠀⣀⢠⣀⡄⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿

                ䷩ 𝚕𝚒𝚗𝚎 153

(ℹ) Images, hyperlinks and comments at http://techrights.org/2022/01/10/irc-log-090122/#comments

Gemini version at gemini://gemini.techrights.org/2022/01/10/irc-log-090122/

Gemini_version_available_♊︎

✐ IRC_Proceedings:_Sunday,_January_09,_2022⠀✐

Posted in IRC_Logs at 2:30 am by Needs Sunlight

Also available via the Gemini protocol at:

* gemini://gemini.techrights.org/irc-gmi/irc-log-techrights-090122.gmi

* gemini://gemini.techrights.org/irc-gmi/irc-log-090122.gmi

* gemini://gemini.techrights.org/irc-gmi/irc-log-social-090122.gmi

* gemini://gemini.techrights.org/irc-gmi/irc-log-techbytes-090122.gmi

Over HTTP:

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

                                     #techrights_log_as_HTML5                                                                                  #boycottnovell_log_as_HTML5

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

                                #boycottnovell-social_log_as_HTML5                                                                               #techbytes_log_as_HTML5

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

                                      #techrights_log_as_text                                                                                   #boycottnovell_log_as_text

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

                                 #boycottnovell-social_log_as_text                                                                                #techbytes_log_as_text

                      Enter_the_IRC_channels_now

=> =============================================================================

§ IPFS Mirrors⠀➾

CID Description Object type

                                             IRC log for

QmXFpb76oxLFqcYEJyMpG2gZWDyFqxSdMwV2nnmWVc5hk7 #boycottnovell 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈

                                             (full IRC log

                                             as HTML)

                                             IRC log for

                                             #boycottnovell

QmeWHeFnTQXMtRMNzWwq5MStUGjE8T22VxPeVrBif3gwcH (full IRC log 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈

                                             as plain/ASCII

                                             text)

                                             IRC log for

                                             #boycottnovell-

QmV4TQ91gWbqKJVHyecLD7iu1WP4xQhw36duSMEv2KmaH8 social 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈

                                             (full IRC log

                                             as HTML)

                                             IRC log for

                                             #boycottnovell-

QmVvqPRMStgort283aJZ1WaDdcPMw2F1xrbkHyDQkjr5kh social 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈

                                             (full IRC log

                                             as plain/ASCII

                                             text)

                                             IRC log for

QmZ1mDoWduH6MvNUG9d2yXNKej4Ht32LCeAkmjyApTw5Vi #techbytes 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈

                                             (full IRC log

                                             as HTML)

                                             IRC log for

                                             #techbytes

QmPAdM19LVXvccj5cqx2hjGF1ou8GHCkQ5Ho2jqsZnFCfP (full IRC log 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈

                                             as plain/ASCII

                                             text)

                                             IRC log for

QmS2ftafo5AhCVM5Hd72umTGo3fjzE15zLCZWpngKYftgY #techrights 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈

                                             (full IRC log

                                             as HTML)

                                             IRC log for

                                             #techrights

QmPmWU23u5AYuW9NMnnhEb6WMYcmMARghAD3722oEfbLGJ (full IRC log 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈

                                             as plain/ASCII

                                             text)

🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇IPFS logo⦈

§ Bulletin for Yesterday⠀➾

Local_copy | CID (IPFS): QmQ1r9n2zgVqwtQ4bsQLNP2kbfnhn22xRMWVDD5qUuwkKF

                ䷩ 𝚕𝚒𝚗𝚎 280

(ℹ) Images, hyperlinks and comments at http://techrights.org/2022/01/10/sexual-abuse-and-violence-github/#comments

Gemini version at gemini://gemini.techrights.org/2022/01/10/sexual-abuse-and-violence-github/

Gemini_version_available_♊︎

✐ Microsoft_GitHub_Exposé_—Part_XIV—_Gaslighting_Victims_of_Sexual_Abuse_and

Violence⠀✐

Posted in Deception, Microsoft at 9:58 am by Dr. Roy Schestowitz

Series parts:

Microsoft_GitHub_Exposé_—Part_I—_Inside_a_Den_of_Corruption_and

  Misogynists

Microsoft_GitHub_Exposé_—Part_II—_The_Campaign_Against_GPL_Compliance

  and_War_on_Copyleft_Enforcement

Microsoft_GitHub_Exposé_—Part_III—_A_Story_of_Plagiarism_and_Likely

  Securities_Fraud

Microsoft_GitHub_Exposé_—Part_IV—_Mr._MobileCoin:_From_Mono_to

  Plagiarism…_and_to_Unprecedented_GPL_Violations_at_GitHub_(Microsoft)

Microsoft_GitHub_Exposé_—Part_V—_Why_Nat_Friedman_is_Leaving_GitHub

Microsoft_GitHub_Exposé_—Part_VI—_The_Media_Has_Mischaracterised_Nat

  Friedman’s_Departure_(Effective_Now)

Microsoft_GitHub_Exposé_—Part_VII—_Nat_Friedman,_as_GitHub_CEO,_Had_a

  Plan_of_Defrauding_Microsoft_Shareholders

Microsoft_GitHub_Exposé_—Part_VIII—_Mr._Graveley’s_Long_Career_Serving

  Microsoft’s_Agenda_(Before_Hiring_by_Microsoft_to_Work_on_GitHub’s_GPL

  Violations_Machine)

Microsoft_GitHub_Exposé_—Part_IX—_Microsoft’s_Chief_Architect_of_GitHub

  Copilot_Sought_to_be_Arrested_One_Day_After_Techrights_Article_About_Him

Microsoft_GitHub_Exposé_—Part_X—_Connections_to_the_Mass_Surveillance

  Industry_(and_the_Surveillance_State)

Microsoft_GitHub_Exposé_—Part_XI—_Violence_Against_Women

Microsoft_GitHub_Exposé_—Part_XII—_Life_of_Disorderly_Conduct_and_Lust

Microsoft_GitHub_Exposé_—Part_XIII—_Nihilistic_Death_Cults_With

  Substance_Abuse_and_Sick_Kinks

YOU ARE HERE ☞ Gaslighting Victims of Sexual Abuse and Violence

      🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GitHub: Where everything comes to die⦈

Summary: Balabhadra (Alex) Graveley used lawyers to the fullest capacity,

trying to hide what he had done while Microsoft still defended him; it’s

unclear why this fails to reach the same mainstream exposure as the ICE

contracts_and_antisemitism

A week ago we published the arrest_record_of_Balabhadra_(Alex)_Graveley and

this morning we discussed Twitter taking the side of the oppressor by silencing

victims [1, 2] (hardly a new problem at Twitter).

There’s a profound issue here and the intricate details typically boil down to

lawyers with frivolous lawsuits (SLAPP). They do_this_to_us_too, but thankfully

we’re not reliant on third-party platforms and social control media, so it’s

hard to actually censor us (they keep on trying regardless).

As we noted this morning, even some GitHub insiders complained about Graveley

(it might be unfair to call them all “Microsofters” as many predate the

Microsoft takeover, didn’t choose to work for Microsoft, and had no say on the

takeover, which was preceded_by_4_years_of_ambush)

The fact that Microsoft put Graveley’s best_mate in charge of GitHub and then

put Graveley in charge of Copilot says a lot about Microsoft. █

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣠⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⣤⣤⣤⣀⡀⠀⠀⠀⠘⠛⠓⠐⠿⠿⣿⣷⣶⣦⣤⣤⣤⠀⠀⣤⣄⠤⢄⣀⡄⠈⢻⣿⣿⠋⢁⣀⣀⣽⡏⢙⣿⠛⢻⣿⠉⢹⣯⡄⠀⣠⣤⣤⣤⣤⡄⠀⣠⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⢰⣿⣿⣿⣿⣿⣷⠀⠈⣿⡇⠀⣾⡟⠛⢻⡏⠉⣏⠀⢈⣹⡀⠘⠛⠃⠀⡏⠉⣿⡏⠉⡇⠀⣉⡉⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠘⢿⣿⣿⣿⣿⠟⠀⢰⣿⣧⠀⢿⣷⡆⢸⡇⠀⣿⠀⢸⣿⠂⢸⣿⡇⠀⡗⠀⣿⡇⠀⡇⠀⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡙⠦⢼⣿⣿⠀⠀⣠⣿⣿⣿⣶⣤⣤⣤⣼⣧⣤⣿⣦⣤⣼⣤⣼⣿⣧⣤⣿⣤⣤⣤⣤⣧⣤⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⡟⢿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⡿⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⡿⠿⡿

⠷⣿⣷⣷⣯⣄⣍⠻⣿⣿⣿⣯⣽⡽⢿⣿⣿⣿⣿⡿⡿⢿⣿⣟⠛⠻⢿⢿⣿⣿⢿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⢿⣿⢿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣛⣿⣟⣿⣿⣷⣶⢶⣿⣿⣿⣷⣷⣬⣵⣶⣷⣴⣲⣆⣌

⠞⢅⣵⣒⣾⣬⠺⡟⣿⣾⣿⡯⣷⣽⣗⣿⣗⣝⣿⣯⣮⣿⡞⣿⢭⣓⣿⣏⡿⡈⣿⢿⢷⣿⠏⣿⢿⣿⣻⡿⣽⣿⣿⢯⣿⣿⣫⣿⣟⣯⣿⣿⢻⡿⢷⣿⣿⣿⣟⢹⣟⢻⢿⡯⣿⣿⢻⣯⣻⣿⣿⢿⠿⠙⠯⠿⠿⠛

⠋⠃⠀⠈⠚⡁⠓⠱⠿⠆⠘⠛⠑⠮⠿⠡⠿⠹⣿⡧⣪⠿⠡⠿⣭⣏⣿⣭⣿⣤⣿⣤⣆⣼⣠⠿⣬⣆⠫⠿⠷⠸⢿⣶⣶⣿⣌⠷⣯⠿⢿⠖⠼⢧⠶⣿⡄⣼⣧⣼⣧⡼⣴⡿⢇⡝⢧⠼⠫⠏⠍⠛⢻⡂⠄⡀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠁⠀⢀⡀⣀⣀⣀⠀⢀⣀⡀⠀⠀⠀⠀⣴⠒⣲⢨⡖⠺⣍⢻⣿⠩⣵⡟⢻⡟⡻⣻⣷⡺⡙⠲⠖⢺⣞⢏⡷⠒⣮⢳⣄⣲⡞⢲⡌⣲⣖⢲⡖⣲⣄⠉⠌⠉⠁⠁⠒⣁⠀⠀⠀⠄⠀⠀⠈⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀⠈⠀⠐⠀⠀⠈⢿⣩⡢⡸⣇⣢⡟⣸⡘⠟⣸⣇⣸⣏⣅⣠⣉⣻⠆⠈⠐⣸⡟⢘⣯⣖⡿⠀⠋⣹⣏⣹⠇⣸⡏⣸⣏⣫⠀⠀⠀⠈⠀⠉⠁⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠤⠴⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⢸⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⢀⣾⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⠘⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⠛⣿⣿

⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⠁⠀⠉⠉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⠋⠀⠀⠻⣿⢠⡘⢿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣷⣶⣶⣶⣶⣶⣖⣶⣖⣀⣀⣨⣭⡭⠭⠭⠉⠉⠉⢉⢻⣿⣿⣿⠁⠀⢀⣀⣠⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⠀⠀⣸⠀⠁⣿⢳⣄

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⢸⣿⣿⣿⡀⠀⠸⡿⡿⠇⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣾⠀⠀⠻⠁⢠⣼⠀⠛

⣿⣿⣿⣿⣿⠿⠿⠋⠉⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣏⠙⣿⣿⠟⠻⠿⠿⣿⣿⡯⢀⣸⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠈⡌⢀⠀

⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠙⣿⣿⣿⢿⣿⡿⠋⠉⠁⠀⠈⠉⡁⠉⠉⠁⠀⠀⠀⠀⠈⠙⣿⡟⠛⢻⣿⣿⣿⠁⠀⢀⡀⣲⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀

⣿⣿⣿⡆⠀⠀⠀⠀⠀⣴⣶⣦⡀⠀⠈⣿⡇⠀⠀⠈⠉⠀⠀⠀⠀⠀⢠⣤⣶⣤⣤⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⠁⠀⢸⣿⣿⣿⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣻⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⡇⠀⠀

⣿⣿⣿⡇⠀⠀⠀⠀⢾⡟⠛⣿⡇⠀⠀⣸⣿⡆⠀⠀⠀⣰⣶⠀⠀⢠⣛⡛⠛⠛⠛⠛⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠘⠛⠛⠛⠀⠀⠀⠀⠀⢀⣏⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠙⣿⣿⣿⣿⣿⣦⣄⠀⠀⡇⠀⠀

⣿⣿⣿⡇⠀⠀⠀⠀⠈⢻⡿⣿⠋⢀⣴⣿⣿⠇⠀⠀⢸⣿⣿⠀⠀⠰⣶⣆⣀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠄⠀⣤⠀⠀⠀⠀⠀⢘⠋⠀⠀⠀⠀⠀⠀⢰⣿⣷⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⢀⡇⠀⠀

⣿⣿⣿⣿⡀⠀⡀⠐⠤⣨⣳⣿⣿⣿⣿⡿⠋⠀⠀⠀⣾⣿⣿⣇⠀⠀⠻⢿⣿⠀⠀⢸⣿⠀⠀⢠⣶⠀⠀⢸⠉⠁⠀⠀⠈⠛⠻⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀

⣿⣿⣿⣿⣧⡀⠈⢤⣀⢀⣾⣿⣿⣷⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⢀⣸⣿⠀⠀⣸⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⡀⠀⣾⣿⡏⣿⣿⣿⠏⠈⠁⠀⠀

⣿⣿⣿⡏⢿⣿⣦⣀⠉⠉⣿⣿⣿⣿⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⠀⠘⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀

⣿⣿⣿⡇⠸⣿⣿⣿⣷⣶⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠿⠿⡟⠋⠀⣾⣿⣿⡇⠈⣧⣇⣀⣀⣰⣷⣤

⣿⣿⣿⡇⠀⠀⠀⠀⠀⢩⢝⣉⣡⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠞⠋⠀⠀⠀⠀⠀⣀⣿⣿⠟⠣⠀⣼⣿⣿⣿⣿⣿⣿

⣿⣿⣿⠁⠀⠀⠀⠰⣶⣶⣾⣿⣿⣿⣷⣿⣿⣿⠿⠿⠿⠟⠻⠛⠛⠛⢃⣼⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠷⠀⠀⠀⠘⣧⠀⠀⣤⣤⡀⠀⠀⠀⠀⣹⡇⠀⠀⠀⠀⠀⣤⣶⣶⣾⣿⣾⣿⣷⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡏⣰⡀⢰⣧⣀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡄⠀⠀⠀⢸⡏⠉⠁⠀⢸⣿⣧⣄⡀⠀⣼⣿⡇⠀⠉⠛⢿⣷⣦⣀⠀⢉⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣘⣿⣿⣿⣤⣤⣤⣼⣧⣤⣀⣀⠘⣿⡿⠿⠿⠖⠣⠿⠀⠀⠀⠀⠈⠻⠟⣁⠉⠀⡀⢀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢰⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠁⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⠀⠀⠀⠀⠻⣿⣿⠿⠛⠛⣿⣿⣿⣿⣿⢹⡏⠐⣿⡇⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡏⣭⣽⣿⣭⣭⣍⡛⠻⢿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⢹⣿⣿⣿⣿⠀⠀⠀⣿⡇⠈⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⣿⣿⡷⣾⣿⣿⣿⣿⣿⡧⣿⣷⡇⢸⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠏⠀⠀⠀⠀⠀⣿⣿⡆⠀⠀⢸⣏⣿⣏⣿⠀⠀⠀⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⣿⣿⣿⣿⣿⣿⣧⣿⣿⠀⣼⣿⣿⣿⣿⣿

⢿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡇⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⢸⣿⠀⠀⠀⢀⣴⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣿⣿⣿⣿⣿⣿

⠈⠉⣯⠉⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⣿⣿⣿⢿⡀⠀⠀⢸⣿⠀⠀⠟⢸⣿⣿⠀⠀⠀⠀⣀⣀⣀⣀⣤⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⢉⠁⠀⠩⣻⣟⣋⣉⣹⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⢻⠈⣿⢸⡇⠀⠀⢸⣿⠁⣀⣰⣶⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

[24A⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⠉⠀⠉⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⠋⠁⠀⢻⣿⣰⡙⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣀⣀⣬⣭⣭⡭⠭⠭⠭⠍⢙⢻⣿⣿⣿⡇⠀⢀⣄⣠⡄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⠀⠀⣸⡀⠁⣿⣻⣦

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢸⢸⣿⣿⣿⡇⠀⠸⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣾⠀⠀⠻⡁⢠⣼⠟⠿

⣿⣿⣿⣿⣿⠿⠿⠋⠉⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣏⣛⣿⣿⠟⠿⠿⢿⣿⣿⣿⣸⣸⣿⣿⣟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠁⠀⠀⠀⠀⠉⠋⠀⠀⠀⠀⠀⠈⣿⢸⠀

⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠙⣿⣿⣿⣿⣿⡿⠛⠉⠁⠀⠈⠉⡋⠉⠉⠁⠀⠀⠀⠀⠈⠹⣿⡟⠛⢻⣿⣿⣿⠁⠀⢠⣔⡶⢶⡆⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⠀

⣿⣿⣿⡇⠀⠀⠀⠀⠀⣤⣶⣦⡄⠀⠀⣿⡇⠀⠀⠈⠉⠁⠈⠉⠀⠀⢠⣤⣶⣶⣤⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢸⣿⣿⣿⠀⠀⠈⠋⢀⣀⣘⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣷⣀⠀⠀⠀⠀⡏⠈⠀

⣿⣿⣿⡇⠀⠀⠀⠀⢾⡟⠿⣿⡗⠀⠀⢸⣿⡆⠀⠀⠀⣰⣶⠀⠀⢠⣿⡟⠛⠛⠛⠛⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠘⠛⠛⠛⠀⠀⠀⠀⠀⢸⣯⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠙⣿⣿⣿⣿⣿⣧⣄⠀⠀⡇⠀⢀

⣿⣿⣿⡇⠀⠀⠀⠀⢈⣿⣿⣿⠟⢀⣴⣿⣿⠇⠀⠀⢸⣿⣿⠀⠀⠰⣶⣆⣀⡀⠀⢸⣿⠀⠀⠀⠀⠀⠀⢸⣿⣻⠀⠀⢀⣤⣠⣤⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⢰⣿⣷⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⢸⡇⠀⠀

⣿⣿⣿⣿⡀⠀⡀⠐⠦⣽⣷⣿⣿⣿⣿⡿⠋⠀⠀⠀⣾⣿⣿⣇⠀⠀⠻⢿⣿⠁⠀⢸⣿⠀⠀⢠⣾⠀⠀⢸⡛⠛⠀⠀⠈⠍⠻⠋⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⢸⣿⡿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⢸⣧⠀⠀

⣿⣿⣿⣿⣷⡀⠈⢦⣀⢀⣾⣿⣿⣷⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⢀⣸⣿⠀⠀⣸⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢠⣿⣿⡟⣿⣿⣿⡏⠈⠁⠀⠀

⣿⣿⣿⡟⣿⣿⣦⣀⠉⠉⣿⣿⣿⣿⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⠀⢻⣿⣿⣿⢿⣿⡿⠀⠀⠀⠀⠀

⣿⣿⣿⡇⠸⣿⣿⣿⣷⣶⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⠿⣿⡟⠁⢐⣿⣿⣿⡏⠘⣧⣇⣠⣤⣼⣿⣦

⣿⣿⣿⡟⠀⠀⠁⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠋⠉⠀⠀⠀⠀⠀⣿⣿⣿⠿⠷⠠⣾⣿⣿⣿⣿⣿⣿

⣿⣿⣿⠇⠀⠀⠀⠐⢷⣾⣿⣿⣿⣿⣽⣿⣿⣿⡿⠿⠿⠟⠛⠟⠛⠛⢃⣼⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠸⣧⠀⠀⣤⣤⡀⠀⠀⠀⠀⣹⠃⠀⠀⠀⠀⠀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡏⢠⠀⠘⣦⡀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡄⠀⠀⠀⢸⡏⠉⠁⠀⢸⣿⣦⣄⠀⠀⣼⣿⡇⠀⠉⠛⢿⣷⣦⣀⡈⠉⠀⠀⠀⠀⠀⢴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡇⣿⣧⠀⢸⣷⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⣿⣷⣤⣤⣤⣼⡧⣄⣀⠀⠘⣿⡿⠿⠷⠐⠡⠿⠀⠀⠀⠀⠈⠙⠛⡁⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡧⠿⠿⠇⠀⠛⠋⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣀⣤⣒⠮⣿⣿⣯⣿⣿⣿⣿⣧⣶⣿⣿⡟⢠⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⠇⠀⠀⠒⠲⢶⣶⣶⣿⣥⣤⣶⣾⣿⣿⣿⡟⠀⠀⠀⠀⠙⢿⡿⠟⠛⠛⣟⡛⣭⡉⡉⢸⡇⠀⢸⡇⢸⢿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⢤⣤⠀⢤⠉⠙⠒⠦⡍⢿⣿⣿⣿⣿⣿

⣿⣿⣏⠀⢰⣤⣦⣴⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡇⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⢸⡇⣿⡟⡇⠀⠀⠀⢸⡇⠈⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⢠⣼⣿⠀⣀⠀⠀⢸⠀⠀⠀⣿⣿⣿⣿⣿

⣿⣿⣧⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠿⠇⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠸⡇⢸⠁⣿⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠂⢸⣿⣯⣸⣿⣿⣦⣽⡀⠀⢸⣿⣿⣿⣿⣿

⠻⣿⣟⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠇⣾⣧⠡⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣸⣿⣿⣿⣿⣿

⠀⠈⠁⠀⠀⠀⠀⠈⠻⠿⢿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠘⠏⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠙⢻

⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠒⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⢀⠀⠄⠀⠀⠀⠀⠀⣸⠀⠀⢀⣤⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⠉⠀⠉⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⠋⠁⠀⠻⣿⣰⡙⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣀⣀⣤⣭⣭⡭⠭⠭⠭⠍⢙⢻⣿⣿⣿⡇⠀⢀⣄⣠⡄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⠀⠀⣸⠀⠁⣿⣿⣦

⣿⣿⣿⣿⣿⠿⠿⠋⠉⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣏⢛⣿⣿⠟⠿⠿⢿⣿⣿⣿⣸⣸⣿⣿⣟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠁⠀⠀⠀⠀⠉⠋⠀⠀⠀⠀⠀⠈⣿⢸⠀

⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠙⣿⣿⣿⣿⣿⡿⠛⠉⠁⠀⠈⠉⡋⠉⠉⠁⠀⠀⠀⠀⠈⠹⣿⡟⠛⢻⣿⣿⣿⠁⠀⢠⣔⡶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⠀

⣿⣿⣿⡇⠀⠀⠀⠀⢈⣿⣿⣿⠟⢀⣴⣿⣿⠇⠀⠀⢸⣿⣿⠀⠀⠰⣶⣆⣀⡀⠀⢸⣿⠀⠀⠀⠀⠀⠀⢸⣿⡻⠀⠀⢀⣤⣠⣤⠀⠀⠀⠀⠀⢸⠋⠀⠀⠀⠀⠀⠀⢰⣿⣷⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⢸⡇⠀⠀

⣿⣿⣿⣿⡀⠀⡀⠐⠦⣽⣷⣿⣿⣿⣿⡿⠋⠀⠀⠀⣾⣿⣿⣇⠀⠀⠻⢿⣿⠁⠀⢸⣿⠀⠀⢠⣾⠀⠀⢸⡛⠓⠀⠀⠈⠍⠻⠋⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⢸⣿⡿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⢸⣧⠀⠀

⣿⣿⣿⡟⣿⣿⣦⣀⠉⠉⣿⣿⣿⣿⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⠀⢻⣿⣿⣿⢿⡿⡿⠀⠀⠀⠀⠀

⣿⣿⣿⡇⠸⣿⣿⣿⣷⣶⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⠿⢿⡟⠁⢘⣿⣿⣿⡏⠘⣧⣇⣠⣄⣼⣿⣦

⣿⣿⣿⡟⠀⠀⠁⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠋⠉⠀⠀⠀⠀⠀⣽⣿⣿⠿⠷⠀⣾⣿⣿⣿⣿⣿⣿

⣿⣿⣿⠇⠀⠀⠀⠐⢷⣶⣿⣿⣿⣿⣽⣿⣿⣿⡿⠿⠿⠟⠛⠟⠛⠛⢃⣼⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠸⣧⠀⠀⣤⣤⡀⠀⠀⠀⠀⣹⠃⠀⠀⠀⠀⠀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡏⣠⠀⠘⣦⡀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡄⠀⠀⠀⢸⡏⠉⠁⠀⢸⣿⣦⣄⠀⠀⣸⣿⡇⠀⠉⠛⢿⣷⣦⣀⡈⠉⠀⠀⠀⠀⠀⢴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡇⣿⣧⠀⢸⣷⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⣿⣷⣤⣤⣤⣼⡧⣄⣀⠀⠘⣿⠿⠿⠷⠐⠡⠿⠀⠀⠀⠀⠈⠙⠛⡁⠀⠀⠄⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡧⠿⠿⡇⠀⠛⠋⠙⣻⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣀⣤⣖⠮⣿⣿⣯⣿⣿⣿⣿⣧⣴⣿⣿⡟⢠⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⠇⠀⠀⠒⠲⢶⣶⣶⣿⣤⣤⣶⣾⣿⣿⣿⡟⠀⠀⠀⠀⠙⢿⡿⠟⠛⠛⣟⡛⣭⡉⡉⢸⡇⠀⢸⡇⢸⢿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⢤⣤⠀⠤⠉⠙⠒⠦⡍⠿⣿⣿⣿⣿⣿

⣿⣿⣏⠀⢰⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡇⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⢸⡇⣿⡟⡇⠀⠀⠀⢸⡇⠈⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⢠⣼⣿⠀⣄⠀⠀⢸⠀⠀⠀⣿⣿⣿⣿⣿

⣿⣿⣧⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠿⠇⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠸⡇⢸⠁⣟⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⣿⣯⣸⣿⣿⣦⣽⡀⠀⢸⣿⣿⣿⣿⣿

⠻⣿⣟⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠇⣾⣧⠠⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣸⣿⣿⣿⣿⣿

⠀⠈⠁⠀⠀⠀⠀⠈⠻⠿⢿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠈⠏⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠙⢻

⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠒⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⢀⣤⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾

[24A⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠉⠈⠉⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⠋⠁⠀⢻⣿⣠⡙⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣖⣀⣬⣭⣭⠭⠭⠭⠉⠉⣉⢻⣿⣿⣿⡇⠀⢀⣄⣠⡄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⠀⠀⣸⠀⠁⣿⢿⣦

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢸⢸⣿⣿⣿⡇⠀⠸⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣾⠀⠀⠻⡁⢠⣼⢹⠿

⣿⣿⣿⣿⣿⢿⠿⠛⠉⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣯⢹⣿⣿⠟⠿⠿⢿⣿⣿⣿⣸⣸⣿⣿⣟⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠉⠀⠀⠀⠀⠉⠋⠀⠀⠀⠀⠀⢈⣿⢸⠀

⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠙⣿⣿⣿⣿⣿⡿⠛⠉⠁⠀⠈⠉⡋⠛⠉⠁⠀⠀⠀⠀⠈⢹⣿⠟⠛⢻⣿⣿⣿⠁⠀⢠⣶⡶⠶⠄⠀⠀⠀⠀⠀⠀⠀⡀⠀⠄⣀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣿⢸⠀

⣿⣿⣿⡇⠀⠀⠀⠀⠀⣠⣶⣦⡀⠀⠀⢿⡇⠀⠀⠈⠉⠉⠈⠉⠀⠀⢠⣤⣶⣶⣤⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢸⣿⣿⣿⠀⠀⠘⠉⣀⣀⣙⠀⠀⠀⠀⠀⠀⢸⣿⣿⣻⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⡏⠈⡀

⣿⣿⣿⡇⠀⠀⠀⠀⢾⡟⠿⣿⠗⠀⠀⣸⣿⡆⠀⠀⠀⣰⣶⠀⠀⢠⣿⡟⠛⠛⠛⠛⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠘⠛⠛⠛⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠙⣿⣿⣿⣿⣿⣧⡄⠀⠀⡇⠀⣁

⣿⣿⣿⡇⠀⠀⠀⠀⢈⣿⣿⣿⠟⢀⣴⣿⣿⠇⠀⠀⢸⣿⣿⠀⠀⠰⣶⣆⣀⡀⠀⢸⣿⠀⠀⠀⠀⠀⠀⢸⣿⡋⠀⠀⢠⣤⣤⣤⠀⠀⠀⠀⠀⢸⠁⡄⠀⠀⠀⠀⠀⢰⣿⣷⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⢸⡇⠀⠐

⣿⣿⣿⣿⡀⠀⡀⠘⠦⣯⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⣾⣿⣿⣇⠀⠀⠻⢿⣿⠁⠀⢸⣿⠀⠀⢰⣾⠂⠀⢸⡟⠻⠀⠀⠀⠉⠻⠋⠀⠀⠀⠀⠀⠀⠀⡅⠀⠀⠀⠀⠀⢸⣿⡿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⢸⣇⠀⠀

⣿⣿⣿⣿⣷⡀⠈⢦⣀⢀⣾⣿⣿⣷⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⢀⣸⣿⠀⠀⣸⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⣰⣿⣿⣟⣿⣿⣿⡟⠈⠁⠀⠀

⣿⣿⣿⣿⢿⣿⣦⣀⠉⠉⣿⣿⣿⣿⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⡏⢐⣻⣿⣿⣿⣿⡿⡿⠀⠀⠀⠀⠀

⣿⣿⣿⣿⠸⣿⣿⣿⣷⣶⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠿⠿⢿⠋⠁⣸⣿⣿⣿⡏⠘⣇⣇⣀⣤⣼⣿⣶

⣿⣿⣿⡿⠀⠀⠉⠀⠈⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠘⠉⠁⠀⠀⠀⠀⠨⣿⣿⣿⠏⣷⢠⣽⣿⣿⣿⣿⣿⣿

⣿⣿⣿⠇⠀⠀⠀⠐⢶⣾⣿⣿⣿⣿⣻⣿⣿⣿⡿⠿⠿⠟⠛⠟⠛⠛⢁⣸⣿⣷⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠘⣷⠀⠀⣠⣤⡀⠀⠀⠀⠀⡙⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡟⢠⠀⠘⣦⡀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡄⠀⠀⠀⢸⡇⠉⠀⠀⢸⣿⣤⣀⠀⠀⣰⣿⡇⠀⠉⠛⢿⣷⣦⣀⠈⠁⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡇⣿⣷⡀⢸⣷⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⣿⣷⣤⣤⣤⣼⡧⣄⣀⠀⠘⣿⡿⠿⣷⠐⠋⠿⠁⠀⠀⠀⠀⠙⠛⠁⠀⠀⠀⠀⠀⢀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡇⠿⢿⡇⠀⠙⠋⠙⣻⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣀⣤⣒⠯⣿⣿⣿⣿⣿⣿⣷⣶⣷⠿⣿⠟⢰⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡇⠀⠀⠒⠲⢶⣶⣶⣿⣥⣤⣶⣾⣿⣿⣿⣿⠀⠀⠀⠀⠙⢿⡿⠛⠛⠛⣿⡛⣭⡉⡉⢸⡇⠀⢸⡇⢸⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⢤⣤⠀⢬⠉⠑⠒⠮⡉⠿⣿⣿⣿⣿⣿

⣿⣿⣇⡀⢰⣴⣦⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⢸⡇⢿⡟⣇⠀⠀⠀⢸⡇⠈⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⢠⣼⣿⠀⣀⡀⠀⢸⠀⠀⠀⣿⣿⣿⣿⣿

⣿⣿⣿⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠳⠿⠇⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠘⡇⢸⡁⣿⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⢸⣿⣿⣸⣿⣿⣦⣽⡀⠀⢸⣿⣿⣿⣿⣿

⠻⣿⣟⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠇⣾⣧⠿⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣸⣿⣿⣿⣿⣿

⠀⠈⠁⠀⠀⠀⠀⠉⠻⠿⢿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠈⠟⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠙⢻

⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⢸⠀⢀⢀⣤⣤⣼⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾

[24A⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠉⠀⠉⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⠋⠁⠀⢻⣿⣠⡙⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣆⣀⣀⣬⣭⣭⠭⠭⠭⠍⠉⣉⢻⣿⣿⣿⡇⠀⢀⣄⣠⡄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⠀⠀⣸⠀⠁⣿⢿⣤

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢸⢸⣿⣿⣿⡇⠀⠸⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣾⠀⠀⠻⡁⢠⣼⢹⠿

⣿⣿⣿⣿⣿⣿⡿⠛⠉⠁⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣯⢹⣿⣿⠟⠿⠿⢿⣿⣿⣟⣸⢸⣿⣿⣟⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠈⠉⠀⠀⠈⠁⠀⡀⠀⠀⠉⠋⠀⠀⠀⠀⠀⠈⣟⢸⠀

⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠙⣿⣿⣿⣿⣿⡿⠛⠉⠁⠀⠈⠉⡋⠻⠉⠁⠀⠀⠀⠀⠈⢻⣿⠛⠙⢻⣿⣿⣿⠁⠀⢠⣶⠶⠶⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡄⣀⠀⠀⠀⠀⠀⠀⠀⡄⠀⣿⢸⠀

⣿⣿⣿⡇⠀⠀⠀⠀⠀⣠⣤⣤⡀⠀⠀⢿⡇⠀⠀⠈⠉⠉⠉⠉⠀⠀⢠⣤⣶⣶⣤⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢸⣿⣿⣿⠀⠀⠘⠁⣠⣀⡍⠀⠀⠀⠀⠀⠀⢸⣿⣿⣻⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⡏⠈⡁

⣿⣿⣿⡇⠀⠀⠀⠀⢴⡿⠿⣿⠗⠀⠀⢸⣿⡆⠀⠀⠀⢠⣶⠀⠀⢠⣿⡟⠛⠛⠛⠛⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠘⠛⠛⠛⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠙⣿⣿⣿⣿⣿⣦⡀⠀⠀⡇⠀⢀

⣿⣿⣿⡇⠀⠀⠀⠀⢈⣿⣿⣿⡟⠀⣠⣿⣿⠇⠀⠀⢸⣿⣿⠀⠀⠰⣶⣆⣀⡀⠀⢸⣿⠀⠀⠀⠀⠀⠀⢸⣿⠋⠀⠀⢠⣤⣤⣤⠀⠀⠀⠀⠀⠸⠁⡆⠀⠀⠀⠀⠀⢰⣿⣷⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⢸⡇⠀⠑

⣿⣿⣿⣿⡀⠀⡀⠘⠦⣭⣳⣿⣷⣿⣿⡿⠋⠀⠀⠀⣾⣿⣿⣇⠀⠀⠻⢿⣿⠀⠀⢸⣿⠀⠀⢰⣾⠁⠀⢸⡛⠻⠀⠀⠀⠛⠿⠋⠀⠀⠀⠀⠀⠀⠀⡅⠀⠀⠀⠀⠀⢸⣿⡿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⢸⣇⠀⠀

⣿⣿⣿⣿⣷⡀⠈⢆⣀⢀⣾⣿⣿⣷⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⢀⣸⣿⠀⠀⣸⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⡟⠈⠁⠀⠀

⣿⣿⣿⡿⢿⣿⣦⣀⠉⠉⣿⣿⣿⣿⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⡇⢈⣿⣿⣿⣿⣿⡿⡿⠀⠀⠀⠀⠀

⣿⣿⣿⣷⠸⣿⣿⣿⣷⣶⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠿⠿⠟⠉⠀⣸⣿⣿⣿⡏⠘⣇⣇⣠⣤⣼⣿⣶

⣿⣿⣿⡿⠀⠀⠁⠀⠉⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠉⠉⠀⠀⠀⠀⠀⠸⣿⣿⣿⠏⡷⠠⣽⣿⣿⣿⣿⣿⣿

⣿⣿⣿⠇⠀⠀⠀⠐⢶⣾⣿⣿⣿⣿⣫⣿⣿⣿⡿⠿⠿⠟⠛⠛⠛⠛⢁⣸⣿⣷⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠧⠀⠀⠀⠘⣷⡀⠀⣠⣤⡀⠀⠀⠀⠀⡉⠀⠀⠀⠀⠀⢀⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡟⢠⠀⠘⣦⡀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡄⠀⠀⠀⢸⡇⠉⠀⠀⢸⣿⣤⡀⠀⠀⢰⣿⡇⠀⠉⠛⢿⣷⣦⣀⠀⠁⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡇⣿⣧⡀⠘⣿⣦⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⣿⣿⣤⣤⣤⣾⣧⣄⣀⠀⠸⣿⡿⣿⣧⠀⠋⠿⠃⠀⠀⠀⠀⠙⠛⠁⠀⠀⠄⠀⠀⢀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡇⠿⢿⡗⠀⠈⠉⠙⣻⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣀⣤⣲⢯⣿⣿⣿⣿⣿⣿⣷⣿⣿⠿⣿⠟⢰⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡇⠀⠀⠒⠲⢶⣶⣶⣿⣥⣤⣶⣾⣿⣿⣿⣿⠀⠀⠀⠀⠙⢿⣿⠟⠛⠛⣿⣛⣭⡉⡉⢹⡇⠀⢸⡁⢸⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢤⣤⠀⣬⠉⠑⠒⠮⡉⠿⣿⣿⣿⣿⣿

⣿⣿⣇⡀⢰⣴⣦⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⢸⡇⢿⡟⣇⠈⠀⠀⢸⡇⠈⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⢠⣾⣿⠀⡀⡀⠀⢸⠀⠀⠀⣿⣿⣿⣿⣿

⣿⣿⣿⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠳⠿⠇⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠘⡇⢸⡁⣿⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⢸⣿⣿⣸⣿⣿⣦⣽⡀⠀⢸⣿⣿⣿⣿⣿

⠻⣿⣟⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠇⣾⣧⠿⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣸⣿⣿⣿⣿⣿

⠀⠈⠁⠀⠀⠀⠀⠉⠿⠿⢿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠈⠏⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠙⢻

⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠠⠀⠆⠀⠀⠀⠀⠀⢸⠀⢀⢀⣤⣤⣼⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾

[24A⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠉⠀⠉⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⠋⠁⠀⢻⣿⣠⡙⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣆⣀⣀⣬⣭⣭⠭⠭⠭⠉⠉⣉⢻⣿⣿⣿⡇⠀⢀⣄⣠⡄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⠀⠀⣸⠀⠁⣿⢿⣤

⣿⣿⣿⣿⣿⣿⡿⠛⠉⠁⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣯⢹⣿⣿⠟⠿⠿⢿⣿⣿⣟⣸⢸⣿⣿⣟⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠈⠉⠀⠀⠈⠁⠀⡀⠀⠀⠉⠋⠀⠀⠀⠀⠀⠈⣿⢸⠀

⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠙⣿⣿⣿⣿⣿⡿⠛⠉⠁⠀⠈⠉⡋⠻⠉⠁⠀⠀⠀⠀⠈⢻⣿⠛⠙⢻⣿⣿⣿⠁⠀⢠⣶⠶⠶⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡄⣀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣿⢸⠀

⣿⣿⣿⡇⠀⠀⠀⠀⠀⣠⣤⣤⡀⠀⠀⢿⡇⠀⠀⠈⠉⠉⠉⠉⠀⠀⢠⣤⣶⣶⣤⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢸⣿⣿⣿⠀⠀⠘⠁⣠⣀⡍⠀⠀⠀⠀⠀⠀⢸⣿⣿⣻⣿⣿⣿⣿⣿⡀⠀⠀⠁⠀⡏⠈⡄

⣿⣿⣿⡇⠀⠀⠀⠀⢴⡿⠿⣿⠗⠀⠀⢸⣿⡆⠀⠀⠀⢠⣶⠀⠀⢠⣿⡟⠛⠛⠛⠛⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠘⠛⠛⠛⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠙⣿⣿⣿⣿⣿⣦⡀⠀⠀⡇⠀⢁

⣿⣿⣿⣿⣷⡀⠈⢦⣀⢀⣾⣿⣿⣷⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⢀⣸⣿⠀⠀⣸⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⣰⣿⣿⡿⣿⣿⣿⡟⠈⠁⠀⠀

⣿⣿⣿⡟⢿⣿⣦⣀⠉⠉⣿⣿⣿⣿⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⡇⢈⣿⣿⣿⣿⣿⡿⡿⠀⠀⠀⠀⠀

⣿⣿⣿⣷⠸⣿⣿⣿⣷⣶⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠿⠿⠟⠉⠀⣸⣿⣿⣿⡏⠘⣇⣇⣀⣤⣼⣿⣶

⣿⣿⣿⡿⠀⠀⠁⠀⠈⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠉⠉⠀⠀⠀⠀⠀⠸⣿⢿⣿⠏⡷⠠⣽⣿⣿⣿⣿⣿⣿

⣿⣿⣿⠇⠀⠀⠀⠐⢶⣾⣿⣿⣿⣿⣫⣿⣿⣿⡿⠿⠿⠟⠛⠛⠛⠛⢁⣸⣿⣷⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠘⣷⡀⠀⣠⣤⡀⠀⠀⠀⠀⡉⠀⠀⠀⠀⠀⢀⣶⣾⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿

⣿⣿⡟⢠⡀⠈⣦⡀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡄⠀⠀⠀⢸⡇⠉⠀⠀⢸⣿⣤⡀⠀⠀⢰⣿⡇⠀⠉⠛⢿⣷⣦⣀⠀⠁⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡇⣿⣧⡀⠘⣿⣦⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⣿⣿⣤⣤⣤⣾⣇⣄⣀⠀⠸⣿⡿⣿⣧⠀⠋⠿⠃⠀⠀⠀⠀⠙⠛⠁⠀⠀⠄⠀⠀⢀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡇⠿⢿⡗⠀⠈⠉⠙⣻⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣀⣤⣲⢯⣿⣿⣿⣿⣿⣿⣷⣿⣿⠿⣿⡟⢰⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡇⠀⠀⠒⠲⢶⣶⣶⣿⣥⣤⣶⣾⣿⣿⣿⣿⠀⠀⠀⠀⠙⢿⣿⠟⠛⠛⣿⡛⣭⡉⡉⢹⡇⠀⢸⡀⢸⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢤⣤⠀⣤⠉⠑⠒⠮⡉⠿⣿⣿⣿⣿⣿

⣿⣿⣇⣀⢰⣴⣦⣴⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡇⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⢸⡗⢿⡗⣇⠈⠀⠀⢸⡇⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⢠⣾⣿⠀⡀⡀⠀⢸⠀⠀⠀⣿⣿⣿⣿⣿

⣿⣿⣿⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠓⠿⠇⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠘⡇⢸⡁⣿⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⢸⣿⣿⣸⣿⣿⣦⣽⡀⠀⢸⣿⣿⣿⣿⣿

⠻⣿⣟⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠇⣿⣧⠿⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣸⣿⣿⣿⣿⣿

⠀⠈⠁⠀⠀⠀⠀⠉⠻⢿⢿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠈⠟⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠙⢻

⠀⠀⠁⠀⠀⠠⠀⠀⠀⠀⠀⠠⠘⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠈⠀⡆⠀⠀⠀⠀⠀⢸⠀⢀⢀⣤⣤⣼⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾

[24A⣿⣿⣷⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠉⠀⠉⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠋⠁⠀⢻⣿⣠⡙⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣦⣀⣀⣬⣭⣭⡭⠭⠭⠍⠉⣉⢻⣿⣿⣿⡇⠀⢀⣄⣤⡄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⠀⠀⣸⠀⠁⣿⣿⣤

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢘⢸⣿⣿⣿⡇⠀⠸⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣾⠀⠀⠛⡁⢠⣼⢹⠿

⣿⣿⣿⣿⣿⡿⠿⠛⠉⠁⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣯⢹⢿⣿⠟⠻⠿⢿⣿⣿⣟⢸⢸⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠈⠁⠀⡀⠀⠀⠙⠋⠀⠀⠀⠀⠁⠈⣿⢸⠀

⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠙⣿⣿⣿⣿⣿⡿⠛⠉⠁⠀⠈⠉⡋⠻⠉⠀⠀⠀⠀⠀⠉⢻⣿⠛⠛⢻⣿⣿⣿⠁⠀⢰⡾⠿⢗⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⡀⠀⠀⠀⠀⠂⠀⠀⡀⠀⣿⢸⠀

⣿⣿⣿⡇⠀⠀⠀⠀⠀⢠⣤⣤⡀⠀⠀⢻⡇⠀⠀⠈⠉⠉⠉⠉⠀⠀⢠⣤⣶⣶⣤⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢸⣿⣿⣿⠀⠀⠈⢀⣤⣤⡇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣻⣿⣿⣿⣿⣷⡀⠀⠀⠁⠀⡏⠈⡇

⣿⣿⣿⡇⠀⠀⠀⠀⢴⡿⠿⣿⠷⠀⠀⢸⣿⡆⠀⠀⠀⢠⣶⠀⠀⢠⣟⡟⠛⠛⠛⠛⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠘⠛⠛⠛⠀⠀⠀⠀⠀⢸⡷⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠙⣿⣿⣿⣿⣿⣦⡀⠀⢠⡇⠀⣀

⣿⣿⣿⡇⠀⠀⠀⠀⠈⣿⣿⣿⡟⠀⣠⣿⣿⠇⠀⠀⢸⣿⣿⠀⠀⠰⣶⣆⣀⡀⠀⢸⣿⠀⠀⠀⠀⠀⠀⢸⣟⡉⠀⠀⢠⣤⣤⣤⠀⠀⠀⠀⠀⠸⠁⡆⠀⠀⠀⠀⠀⢰⣿⣷⠀⠀⢸⣿⣿⣿⣿⣿⣿⣦⢸⡇⠀⠀

⣿⣿⣿⣿⡀⠀⡀⠘⠦⣬⣳⣿⣷⣿⣿⡿⠋⠀⠀⠀⣾⣿⣿⣇⠀⠀⠻⢿⣿⠀⠀⢸⣿⠀⠀⢠⣾⠁⠀⢸⡟⠱⠀⠀⠀⠛⠟⠋⠀⠀⠀⠀⠀⠀⠠⡅⠀⠀⠀⠀⠀⢸⣿⡿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀

⣿⣿⣿⣿⣷⡀⠈⢦⣀⢀⣾⣿⣿⣷⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⢀⣸⣿⠀⠀⣸⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⣶⣿⣿⣿⣿⣿⣿⡏⠈⠁⠀⠀

⣿⣿⣿⡟⢿⣿⣦⣀⠉⠉⣿⣿⣿⣿⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⠀⣸⣿⣿⣿⣿⣿⡿⡟⠀⠀⠀⠀⠀

⣿⣿⣿⣷⠸⣿⣿⣿⣷⣶⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠻⠿⠏⠁⢀⣹⣿⣿⣿⠏⢸⣏⣇⣠⣤⣼⣿⣶

⣿⣿⣿⡿⠀⠀⠁⠀⠈⣷⣾⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠉⠀⠀⠀⠀⠀⠀⠸⣿⢿⡿⠋⡧⢠⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⠇⠀⠀⠀⠐⢶⣾⣿⣿⣿⣿⣫⣿⣿⣿⡿⠿⠿⠛⠛⠟⠛⠛⢁⣸⣿⣷⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠘⣷⡀⠀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡟⢠⡀⠘⣦⡀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡄⠀⠀⠀⣸⡇⠉⠀⠀⢸⣿⣤⣀⠀⠀⢠⣿⡇⠀⠉⠛⢿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡇⣿⣧⠀⠘⣿⣦⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣷⣤⣤⣤⣿⣧⣄⣀⠀⠈⣿⡿⠿⠧⠀⠊⠿⠇⠀⠀⠀⠀⠙⠛⠁⠀⢀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡇⠿⠿⠗⠀⠈⠉⠙⣻⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣀⣤⣒⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⡟⢠⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠘⠻⣿⣿⣿⣿⣿⣿⡿⢻⣿⢿⣿⣿⣿⣿⣿⣿

⣿⣿⡇⠀⠀⠒⠲⢶⣶⣶⣿⣥⣤⣶⣾⣿⣿⣿⣿⠀⠀⠀⠀⠙⢿⡿⠛⠛⠛⢿⡛⣭⡉⡉⢽⠇⠀⢸⡃⢸⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠡⣤⡤⠀⡬⠉⠑⠒⠮⡉⠿⣿⣿⣿⣿⣿

⣿⣿⣇⡀⢰⣶⣶⣴⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡇⠀⠀⠀⠀⠀⢸⣏⠀⠀⠀⢸⡇⢿⡏⣇⠀⠀⠀⢸⡇⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⢰⣿⣷⠀⡄⠀⠀⠘⠀⠀⠀⣿⣿⣿⣿⣿

⣿⣿⣿⡀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠓⠿⠇⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠘⡇⢸⡁⣿⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⢸⣿⣿⣸⣿⣿⣦⣌⠀⠀⢰⣿⣿⣿⣿⣿

⠻⣿⣟⠀⠀⠐⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠇⣾⣧⠿⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣼⣿⣿⣿⣿⣿

⠀⠈⠁⠀⠀⠀⠀⠉⢿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠈⠏⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠉⠙⢻

⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠨⠙⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢀⣠⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾

[24A⣿⣿⣧⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣦⣀⣀⣬⣭⣭⡭⠭⠭⠍⠉⣉⢻⣿⣿⣿⡇⠀⢀⣄⣤⡄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⠀⠀⣸⠀⠁⣿⢿⣤

⣿⣿⣿⣿⣿⡿⠿⠛⠉⠁⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣯⢹⢿⣿⠟⠻⠿⢿⣿⣿⣟⢸⢸⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠈⠁⠀⡀⠀⠈⠙⠋⠀⠀⠀⠀⠁⠈⣿⢸⠀

⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠙⣿⣿⣿⣿⣿⡿⠛⠉⠁⠀⠈⠉⡋⠻⠉⠀⠀⠀⠀⠀⠉⢻⣿⠛⠛⢻⣿⣿⣿⠁⠀⢰⡼⠿⢗⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⡀⠀⠀⠀⠀⠂⠀⠀⡀⠀⣿⢸⠀

⣿⣿⣿⡇⠀⠀⠀⠀⠀⢠⣤⣤⡀⠀⠀⢻⡇⠀⠀⠈⠉⠉⠉⠉⠀⠀⢠⣤⣶⣶⣤⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢸⣿⣿⣿⠀⠀⠈⢀⣤⣤⡇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣻⣿⣿⣿⣿⣷⡀⠀⠀⠁⠀⡏⠀⡅

⣿⣿⣿⡇⠀⠀⠀⠀⢴⡿⠿⣿⠷⠀⠀⢸⣿⡆⠀⠀⠀⢠⣶⠀⠀⢠⣟⡟⠛⠛⠛⠛⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠘⠛⠛⠛⠀⠀⠀⠀⠀⢸⡷⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠙⣿⣿⣿⣿⣿⣦⡀⠀⢠⡇⠠⣀

⣿⣿⣿⡇⠀⠀⠀⠀⢈⣿⣿⣿⡟⠀⣠⣿⣿⠇⠀⠀⢸⣿⣿⠀⠀⠰⣶⣆⣀⡀⠀⢸⣿⠀⠀⠀⠀⠀⠀⢸⣟⡉⠀⠀⢠⣤⣤⣤⠀⠀⠀⠀⠀⠸⠁⡆⠀⠀⠀⠀⠀⢰⣿⣷⠀⠀⢸⣿⣿⣿⣿⣿⣿⣶⢸⡇⠀⠠

⣿⣿⣿⣿⡀⠀⡀⠐⠦⣬⣳⣿⣷⣿⣿⡿⠋⠀⠀⠀⣾⣿⣿⣇⠀⠀⠻⢿⣿⠀⠀⢸⣿⠀⠀⢠⣾⠁⠀⢸⡛⠱⠀⠀⠀⠛⠟⠋⠀⠀⠀⠀⠀⠀⠠⡅⠀⠀⠀⠀⠀⢸⣿⡿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀

⣿⣿⣿⡟⢿⣿⣦⣀⠉⠉⣿⣿⣿⣿⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⠀⣸⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀

⣿⣿⣿⠇⠀⠀⠀⠐⢶⣾⣿⣿⣿⣿⣩⣿⣿⣿⡿⠿⠿⠛⠛⠟⠛⠛⢁⣸⣿⣷⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠘⣷⡀⠀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡟⢠⠀⠈⣦⡀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡄⠀⠀⠀⣸⡇⠉⠀⠀⢸⣿⣤⣀⠀⠀⢠⣿⡇⠀⠉⠛⢿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡇⣿⣧⠀⠘⣿⣦⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⣿⣷⣤⣤⣤⣿⢧⣄⣀⠀⠈⣿⡿⠿⠧⠀⠊⠿⠇⠀⠀⠀⠀⠙⠛⠁⠀⢀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡇⠀⠀⠒⠲⠶⣶⣶⣿⣥⣤⣶⣾⣿⣿⣿⣿⠀⠀⠀⠀⠙⢿⡿⠟⠛⠛⣿⡛⣭⡉⡉⢽⠇⠀⢸⡃⢸⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠡⣤⡤⠀⡤⠉⠑⠒⠧⡉⠿⣿⣿⣿⣿⣿

⣿⣿⣇⡀⢰⣶⣶⣴⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡇⠀⠀⠀⠀⠀⢸⣏⠀⠀⠀⢸⡇⢿⡇⣇⠀⠀⠀⢸⡇⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⢰⣿⣷⠀⡄⠀⠀⠘⠀⠀⠀⣿⣿⣿⣿⣿

⣿⣿⣿⡀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠳⠿⠇⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠘⡇⢸⡁⣿⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⢸⣿⣿⣸⣿⣿⣦⣌⠀⠀⢰⣿⣿⣿⣿⣿

⠀⠈⠁⠀⠀⠀⠀⠉⠿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠘⠏⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠉⠙⢻

⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢀⣠⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾

[24A⣿⣿⣇⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠉⠈⠉⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠋⠁⠀⠻⣿⣠⡙⢿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣆⣀⣀⣬⣭⣭⠭⠭⠭⠍⠉⣉⢻⣿⣿⣿⡇⠀⢀⣄⣠⡄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⠀⠀⣸⡀⠁⣿⣻⣦

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢸⢸⣿⣿⣿⡇⠀⠸⣿⣿⠇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⠀⠀⠛⡁⢠⣼⢹⠿

⣿⣿⣿⣿⣿⣿⡿⠛⠉⠁⠀⠀⠀⠀⠈⠙⠻⢿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣯⢙⣿⡿⠟⠻⠿⢿⣿⣿⣿⢸⢸⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠁⠀⠀⠀⠈⠙⠋⠁⠀⠀⠀⠀⠈⣿⢸⠀

⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠙⣿⣿⣿⣿⣿⡿⠛⠉⠁⠀⠈⠉⡋⠹⠉⠀⠀⠀⠀⠀⠉⢻⣿⠛⠛⢻⣿⣿⣿⠁⠀⢰⡿⠻⢳⡀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⣿⢸⠀

⣿⣿⣿⡇⠀⠀⠀⠀⠀⢀⣤⣤⡀⠀⠀⢻⡇⠀⠀⠈⠉⠋⠉⠋⠀⠀⢠⣤⣶⣶⣤⣇⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⢸⣿⣿⣿⠀⠀⠀⢠⣶⣾⠇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠁⠀⡏⠀⠇

⣿⣿⣿⡇⠀⠀⠀⠀⢴⡿⠿⢿⡷⠀⠀⢸⣿⡆⠀⠀⠀⢠⣶⠀⠀⢠⣿⡟⠛⠛⠛⠛⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠘⠛⠛⠛⠀⠀⠀⠀⠀⢸⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣤⠀⠀⠀⡇⠀⠀

⣿⣿⣿⡇⠀⠀⠀⠀⠈⣿⣿⣿⡟⠀⣠⣿⣿⠇⠀⠀⢸⣿⣿⠀⠀⠰⣶⣆⣀⡀⠀⢸⣿⠀⠀⠀⠀⠀⠀⢰⣟⡉⠀⠀⢠⣤⣤⣤⠀⠀⠀⠀⠀⠸⢠⡆⠀⠀⠀⠀⠀⢰⣿⣷⠀⠀⢸⣿⣿⣿⣿⣿⣷⣄⢸⡇⠀⠀

⣿⣿⣿⣿⡀⠀⡀⠙⠦⣬⣿⣾⣷⣿⣿⡿⠋⠀⠀⠀⣾⣿⣿⣇⠀⠀⠻⢿⣿⠀⠀⢸⣿⠀⠀⢰⣾⠁⠀⢸⡛⠹⠀⠀⠀⠛⠟⠋⠀⠀⠀⠀⠀⠀⠠⡇⠀⠀⠀⠀⠀⢸⣿⡿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀

⣿⣿⣿⣿⣷⡀⠈⢆⣀⢀⣾⣿⣿⣷⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⢀⣸⣿⠀⠀⣸⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⡀⠀⠀⠀⢀⣾⣿⣿⢻⣿⣿⣿⡏⠈⠁⠀⠀

⣿⣿⣿⣿⢿⣿⣦⣀⠉⠉⣿⣿⣿⣿⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⣿⣿⣿⣿⡇⢀⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⡀⠀

⣿⣿⣿⣿⠸⣿⣿⣿⣷⣶⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠿⠛⠿⠯⠁⠀⢈⣿⣿⣿⣿⠁⢻⣿⣧⣤⣤⣾⣿⣶

⣿⣿⣿⡿⠀⠀⠀⠀⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢼⣿⢿⡿⠙⡧⢬⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⡇⠀⠀⠀⠀⢶⣶⣿⣿⣿⣿⣫⣿⣿⣿⡿⠿⠛⠛⠛⠛⠛⠛⢁⣸⣿⣷⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠧⠀⠀⠀⠘⣷⡀⠀⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣷⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿

⣿⣿⡟⢠⠀⠀⢷⡀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡄⠀⠀⠀⣸⡇⠉⠀⠀⢸⣿⣦⣀⠀⠀⢀⣿⣇⠀⠉⠛⢿⣿⣦⣀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡇⣿⣧⡀⠘⣿⣦⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⣿⣷⣤⣤⣤⣿⣧⣄⣀⠀⠈⣿⡿⠿⠧⠀⠚⠹⠏⠀⠀⠀⠀⠙⠛⠁⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡇⠿⠿⡧⠀⠈⠉⠘⣻⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣠⣤⣒⡯⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⡟⢰⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡇⠀⠀⠒⠲⢶⣶⣶⣿⣧⣤⣶⣾⣿⣿⣿⣿⠀⠀⠀⠀⠙⢿⡿⠛⠛⠛⢻⣛⣯⡉⡁⢹⠇⠀⢸⡁⢸⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠡⣤⡄⠀⡤⠉⠑⠒⠬⡉⠿⣿⣿⣿⣿⣿

⣿⣿⣧⡀⢰⣶⣶⣴⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡇⠀⠀⠀⠀⠀⢸⣯⠀⠀⠀⢸⡧⣿⡏⣇⠀⠀⠀⢸⡇⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⢰⣿⡇⠀⠀⠀⠀⠘⠀⠀⠀⣿⣿⣿⣿⣿

⣿⣿⣿⡀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠳⠿⠇⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠘⡇⢸⡁⣿⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⢸⣿⣇⣠⣬⣿⣦⣌⠀⠀⢰⣿⣿⣿⣿⣿

⠻⣿⣟⠁⠀⠀⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠇⣾⣧⠿⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣼⣿⣿⣿⣿⣿

⠀⠈⠉⠀⠀⠀⠀⠉⠿⣿⢿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠈⠏⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠉⠙⢻

⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠠⠙⠛⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠠⠀⡄⠀⠀⠀⠀⠀⢸⠀⠀⢀⣠⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾

[24A⣿⣿⣧⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⠛⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⠉⠀⠉⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠋⠀⠀⠻⣿⣰⡘⢿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣾⣶⣶⣶⣶⣶⣶⣶⣀⣀⣠⣭⣭⠭⠭⠭⠍⠉⣉⢻⣿⣿⣿⠃⠀⢀⣄⣠⡄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⠀⠀⣸⡀⠁⣿⢻⣦

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢸⢸⣿⣿⣿⡄⠀⠸⡿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡼⠀⠀⠛⡁⢠⣼⢹⠛

⣿⣿⣿⣿⣿⣿⡿⠛⠉⠁⠀⠀⠀⠀⠈⠙⠻⢿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣯⢙⣿⡿⠛⠻⠿⢿⣿⣿⣿⢸⢸⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠁⠀⠀⠉⠛⠿⠟⠃⠀⠀⠀⠀⠀⣿⢸⠀

⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠙⣿⣿⣿⣿⣿⡿⠛⠉⠁⠀⠈⠉⡋⠙⠉⠀⠀⠀⠀⠀⠉⢻⣿⡛⠛⢻⣿⣿⣿⠁⠀⢰⠟⠛⣣⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⣿⢸⠀

⣿⣿⣿⣧⠀⠀⠀⠀⠀⢀⣤⣤⡀⠀⠀⢻⡇⠀⠀⠈⠉⠋⠉⠋⠀⠀⢠⣴⣶⣶⣤⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠁⠀⢸⣿⣿⣿⠀⠀⠀⣰⣶⣾⠂⠀⠀⠀⠀⠀⠀⢸⣿⡿⣶⣦⣴⣶⣦⡄⠀⠀⠀⠀⠀⡏⠀⡅

⣿⣿⣿⡏⠀⠀⠀⠀⢰⡿⠿⢿⡷⠀⠀⢸⣿⡆⠀⠀⠀⢠⣶⠀⠀⢠⣿⠟⠛⠛⠛⠛⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠘⠛⠛⠛⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣦⡀⠀⠀⠀⡇⠀⠀

⣿⣿⣿⡇⠀⠀⠀⠀⠈⣿⣿⣿⡟⠀⣠⣿⣿⠇⠀⠀⢸⣿⣿⠀⠀⠰⣶⣆⣀⡀⠀⢸⣿⠀⠀⠀⠀⠀⠀⢰⣟⠉⠀⠀⢠⣤⣤⣤⠀⠀⠀⠀⠀⠘⠰⡆⠀⠀⠀⠀⠀⢰⣿⣷⠀⠀⢸⣿⣿⣿⣿⣿⣦⡀⢰⡇⠀⠀

⣿⣿⣿⣿⡀⠀⡀⠙⠦⣤⣿⣾⣷⣿⣿⡿⠋⠀⠀⠀⣾⣿⣿⣇⠀⠀⠻⢿⣿⠀⠀⢸⣿⠀⠀⢰⣾⠁⠀⢸⠛⠱⠀⠀⠀⠙⠟⠋⠀⠀⠀⠀⠀⠀⠰⠇⠀⠀⠀⠀⠀⢸⣿⡿⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⢸⡇⠀⠀

⣿⣿⣿⣿⣷⡀⠈⢆⣀⢀⣾⣿⣿⣷⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⢀⣸⣿⠀⠀⣸⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⡀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⠇⠈⠁⠀⠀

⣿⣿⣿⣿⢻⣿⣦⣀⠉⠉⣿⣿⣿⣿⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡏⠀⣼⣿⣿⣿⣿⣿⣿⣿⡋⠀⠀⠀⠀⠀

⣿⣿⣿⣿⠈⢿⣿⣿⣷⣶⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠼⠟⠛⠛⠻⠀⠀⠀⢹⣿⣿⣿⡇⠛⣿⣿⣧⣤⣤⣾⣿⣶

⣿⣿⣿⡿⠀⠀⠀⠀⠈⢿⣷⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⢰⡆⣭⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⡇⠀⠁⠀⠀⢶⣶⣿⣿⣿⣿⣫⣾⣿⣿⡿⠛⠛⠛⠛⠛⠛⠋⢁⣼⣿⣷⣿⠿⢿⣿⣿⣿⣿⣿⡿⣿⣿⠷⠀⠀⠀⠘⣷⡀⠀⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣾⣿⣿⣿⣷⣾⣷⣾⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡿⢀⠀⠀⢶⡀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡄⠀⠀⠀⣸⡇⠉⠀⠀⢸⣿⣦⣄⠀⠀⢀⣿⣇⠀⠉⠙⢻⣿⣦⣤⠤⠀⡀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡇⣸⣷⡀⠈⣿⣦⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣿⣤⣤⣤⣿⠧⣤⣀⡀⠈⣿⠟⠿⠓⠀⠚⠸⠏⠀⠀⠀⠀⠙⠓⠀⠀⠘⠀⠈⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡇⠿⠿⠷⠀⠈⠉⠈⣻⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣠⣴⣒⡭⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⠏⢰⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠙⠀⠀⠀⠀⠀⠑⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡇⠀⠀⠒⠲⠶⣶⣴⣿⣶⣦⣶⣾⣿⣿⣿⣿⠀⠀⠀⠀⠙⢿⡿⠛⠛⠛⢻⣋⣯⡉⡁⢸⠇⠀⢸⡀⢸⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠁⠡⣤⡄⠀⠌⠉⠙⠛⠿⡈⠿⣿⣿⣿⣿⣿

⣿⣿⣧⡀⢰⣶⣶⣴⣾⣿⣿⣿⣿⣿⣿⣿⡿⣿⡏⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⢸⡧⢿⡏⣇⠀⠀⠀⢸⡇⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⢰⣿⡇⠀⠀⠀⠀⠘⠀⠀⠀⣿⣿⣿⣿⣿

⣿⣿⣿⡀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠓⠿⠇⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠘⡇⢸⡁⣿⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⠁⢸⣿⣇⣤⣤⣤⣤⣄⡀⠀⢰⣿⣿⣿⣿⣿

⠻⣿⣟⠁⠀⠀⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠇⣾⣧⡾⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣼⣿⣿⣿⣿⣿

⠀⠈⠁⠀⠀⠀⠀⠉⠻⠿⢿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠘⠏⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠉⠉⢻

⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢀⣠⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾

[24A⣿⣷⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⠉⣿⣿

⣿⣿⢸⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⠁⠀⠉⠉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⠋⠀⠀⠻⡿⣠⡘⢿

⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣯⣽⣽⣷⣶⣶⣶⣶⣶⣖⣒⣂⣀⣀⣀⣬⠭⠭⠭⠉⠉⠉⢉⢹⣿⣿⣿⠁⠀⠀⢀⣠⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣸⠀⠁⣯⢻⣄

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢈⢸⣿⣿⣿⠀⠀⠸⠿⠿⠇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⠁⠸⠀⠀⠙⡁⢠⢼⠀⠘

⣿⣿⣿⣿⣿⠿⠿⠛⠉⠁⠀⠈⠉⠻⢿⢿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣭⠙⢿⡿⠛⠻⠟⢿⣿⣿⡏⢸⢸⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠐⠻⢿⣿⡷⠄⠀⠀⠀⠀⠀⡞⢨⠀

⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣼⣿⠊⠉⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣶⣴⡶⠛⠛⣢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠄⠀⡇⠈⠀

⣿⣿⣿⡇⠀⠀⠀⠀⠀⢀⣤⣤⡀⠀⠀⢹⣿⣿⡋⠁⠉⠋⠁⠙⠟⠻⠿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⡇⠈⠀⣴⣶⣾⠀⠀⠀⠀⠀⠀⠂⢸⡿⢾⣀⡀⢀⣀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀

⣿⣿⣿⣷⠀⠀⠀⠀⢰⡿⠿⢿⠷⠀⠀⢸⣿⣿⣿⣦⡀⢀⣤⣤⣤⣤⣘⠛⣛⠛⠛⠋⣀⡀⠀⠀⠀⠀⠤⣠⣾⣿⣿⣿⣿⣿⣿⣿⡃⠀⡀⢿⣿⣿⠇⠀⠀⠀⠀⠀⠐⣀⣴⣾⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⡇⠀⠀

⣿⣿⣿⣿⣶⣦⣀⠀⠀⠻⣶⣿⡗⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣿⣿⣿⡄⠀⠀⣿⣿⣿⠛⠉⠛⠻⢿⣿⣿⣿⣧⡀⠀⠈⠛⠓⢰⣶⠂⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⢀⡇⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⣠⣾⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣴⣾⣿⣿⣿⠛⠱⠀⠀⠈⠙⠟⠋⠉⠃⡀⠀⠀⠀⠠⠇⠀⠀⢠⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⡇⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⡟⠃⢸⣿⣿⣿⣿⣿⣿⣿⡿⠃⠈⠁⠀⠀

⣿⣿⣿⣿⢻⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⠏⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠏⠉⠉⠃⠀⠀⠀⢸⣿⣿⣿⣿⠹⢿⣿⣿⣦⣄⣠⣼⣷⣤

⣿⣿⣿⡿⠀⠀⠀⠀⠀⠑⢤⣠⣬⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣿⣿⣿⡿⠨⡉⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⠇⠀⠀⠀⠀⢠⣤⣀⣽⣿⡿⢁⣼⣿⣿⡿⠛⠛⠛⠛⠛⠛⠛⢁⣸⣿⣷⣿⠟⠻⣿⣿⣿⣿⣿⡿⢿⣿⠗⠀⠀⠀⠈⢷⡀⠀⣠⣤⡀⠀⠀⠀⠀⣠⢦⠀⠀⠀⢀⣀⣭⣿⣿⣿⣥⣼⣧⣽⢻⣿⣿⣿⣿⣿⣿

⣿⣿⡟⠀⠀⠀⢀⡀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡄⠀⠀⠀⢸⡇⠀⠀⠀⢸⣿⣶⣄⠀⠀⢀⣿⡇⠀⠉⠙⢻⣿⣄⣀⠀⠀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿

⣿⣿⡇⠠⠄⠀⠀⢿⣤⢠⣼⠿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣷⣤⣤⣤⣼⠇⢀⣀⠀⠀⣿⠋⠛⠃⠀⠈⠸⠇⠀⠀⠀⠀⣈⠉⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡇⠺⠿⠆⠀⠈⠁⠀⢙⣿⣿⣿⠿⣿⣿⣿⣿⠀⠀⠀⠀⣀⣤⣒⠩⣽⣿⣿⣽⣿⣿⣶⣤⣰⠾⢿⠏⢰⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠆⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡇⠀⠀⠀⠐⠖⠢⠤⠴⠤⠀⠀⣲⣿⣿⣿⣿⠀⠀⠀⠀⠙⢻⡿⠛⠛⠛⢛⡋⡭⡈⡁⢸⡇⠀⢨⠀⠸⢻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠈⠉⠙⠛⠿⠁⠿⣿⣿⣿⣿⣿

⣿⣿⣧⠀⠠⢤⡤⠤⠴⢂⣠⣴⣽⣿⣿⣿⡿⣿⡏⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠘⡃⢻⡏⡇⠀⠀⠀⢸⡆⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿

⣿⣿⣿⡀⠀⠻⣷⣾⣾⣿⣿⣿⣿⣿⣿⣿⠓⠿⠇⠀⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⡇⢰⠀⠇⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡸⠁⠀⣛⣁⣀⣤⣤⣤⣄⠀⠀⢰⣿⣿⣿⣿⣿

⠛⢿⣟⠀⠀⠀⠻⢿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠃⠾⢇⠨⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣸⣿⣿⣿⣿⣿

⠀⠈⠁⠀⠀⠀⠀⠀⠙⠀⠸⠿⣿⣿⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠉⠉⢻

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢀⣠⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣾⣿⣿⣿⣿⣿⣿⡿⣿⣿⣷⣶⣾

[24A⣿⣷⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⠙⣿⣿

⣿⣿⢰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⠁⠀⠉⠉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⠋⠀⠀⠻⣿⢠⡘⢿

⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣯⣽⣿⣿⣶⣶⣶⣶⣶⣒⣒⣂⣀⣀⣀⣬⠭⠍⠉⠉⠉⠉⢉⢹⣿⣿⣿⠀⠀⢀⢀⣠⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣸⠀⠁⣿⢳⣄

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢀⢸⣿⣿⣿⠀⠀⠸⠿⠿⠇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠁⠸⠀⠀⠙⡁⢠⢸⠀⠘

⣿⣿⣿⣿⣿⡿⠿⠟⠋⠉⠉⠉⠉⠻⢿⠿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⡟⣽⣿⣍⠙⢿⡿⠛⠻⠟⢿⣿⣿⡏⢸⢸⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⣦⡀⠀⠀⠀⠀⠀⠀⡞⢸⠀

⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣼⣿⠊⠉⠁⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣶⣴⡶⠛⠛⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠋⠀⠀⠀⠀⠄⠀⡇⠘⠀

⣿⣿⣿⡇⠀⠀⠀⠀⠀⢀⣤⣤⡀⠀⠀⢹⣿⣿⡋⠁⠉⠛⠉⠙⠟⠻⠿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⠇⠈⠀⣴⣶⣾⠀⠀⠀⠀⠀⠀⠂⢸⣿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀

⣿⣿⣿⣷⠀⠀⠀⠀⢠⠿⠿⠿⡧⠀⠀⢸⣿⣿⣿⣦⡀⢀⣤⣀⣠⣀⡘⠛⢛⠛⠛⠋⣀⡀⠀⠀⠀⠀⠤⣠⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⠇⠀⠀⠀⠀⠀⠐⠀⢙⣻⣷⣶⣶⣶⣶⡀⠀⠀⠀⠀⠀⡇⠀⠀

⣿⣿⣿⣿⣶⣦⣀⠀⠀⠻⣶⣿⡗⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣿⣿⣿⡄⠀⠀⣿⣿⣿⠛⠉⠛⠻⠿⣿⣿⣿⣆⡀⠀⠈⠛⠓⢰⣶⠂⠀⠀⢠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⢀⡇⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⣀⣾⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣾⣿⣿⣿⠛⠱⠂⠀⠈⠉⠟⠋⠉⠃⡀⠀⠀⠀⠠⠏⠀⠀⣰⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⢸⡇⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⠟⠁⣿⣿⣿⣿⣿⣿⣿⣿⠿⠁⠈⠁⠀⠀

⣿⣿⣿⣿⢻⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⡿⠁⠀⢰⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠟⠁⠈⠙⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⣠⣼⣷⣤

⣿⣿⣿⡿⠀⠀⠀⠀⠀⠑⢤⣤⣌⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⠇⠀⠀⠀⠀⢠⣤⣀⣽⣿⡿⢁⣼⣿⣿⡿⠛⠛⠛⠛⠛⠛⠛⢁⣸⣿⣷⣿⠿⠻⣿⣿⣿⣿⣿⡿⢟⣿⠃⠀⠀⠀⠈⢳⡄⠀⣠⣤⡀⠀⠀⠀⠀⡨⢧⠀⠀⠀⣀⣩⣿⣿⣿⣿⣹⣿⣏⣿⢻⣿⣿⣿⣿⣿⣿

⣿⣿⡿⠀⠀⠀⢀⡀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡄⠀⠀⠀⢸⡇⠀⠀⠀⢸⣿⣿⣶⡀⠀⢠⢿⡇⠀⠉⠙⢛⣃⣀⠀⠀⠀⡀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿

⣿⣿⡇⠈⠄⠀⠀⢿⣦⢤⣼⠿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣿⣤⣤⣤⣼⡇⢀⣀⠀⠈⣿⠁⠈⠀⠀⠈⠘⠃⠀⠀⢠⠟⠛⠟⠀⠀⠘⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡇⠸⠿⠂⠀⠈⠁⠀⢙⣿⣿⣿⠿⣿⣿⣿⣿⠀⠀⠀⠀⣀⣤⣒⠩⣭⣯⣮⣝⣻⣿⣶⣤⣶⠾⢿⠏⢰⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⠀⠀⠀⠀⠀⠀⠀⠠⡼⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡇⠀⠀⠀⠐⠖⠢⠤⠶⠤⠀⢀⣲⣿⣿⣿⣿⠀⠀⠀⠀⠙⢻⡿⠛⠛⠛⢛⡉⡭⡉⡉⢸⡇⠀⢀⠀⠸⢻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠈⠉⠙⠛⠿⠏⠿⣿⣿⣿⣿⣿

⣿⣿⣧⠀⠠⢤⡤⠤⠖⣂⣀⣴⣼⣿⣿⣿⡿⣿⡏⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠘⡇⢑⡇⡇⠀⠀⠀⢸⡇⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿

⣿⣿⣿⡀⠀⠻⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⠓⠿⠇⠀⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⡇⢰⠀⠇⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡘⠀⠀⠀⢀⣠⣤⣤⣤⣄⠀⠀⢰⣿⣿⣿⣿⣿

⠛⢿⣟⠀⠀⠀⠛⢿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠃⠾⢇⠨⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣸⣿⣿⣿⣿⣿

⠀⠈⠁⠀⠀⠀⠀⠀⠛⠀⠸⠿⣿⣿⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠉⠉⢻

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢀⣠⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾

⣿⣿⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠉⠁⠀⠉⠉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⠋⠀⠀⠻⡿⢠⡘⢿

⣿⣿⣜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣯⣭⣭⣷⣶⣶⣶⣶⣒⣒⣒⣂⣀⣀⣀⣈⠉⠉⠉⠉⠉⠉⢉⢹⣿⣿⣿⠀⠀⠀⣀⣠⡀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣸⠀⠁⣯⢻⣄

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢀⢸⣿⣿⣿⠀⠀⠸⠿⠿⠇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠁⠘⠀⠀⠛⡁⢠⢸⠐⠙

⣿⣿⣿⣿⣿⡿⠿⠟⠉⠉⠉⠉⠉⠻⣿⠿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⡟⣻⣯⣍⠙⢿⡿⠛⠻⠟⠿⣿⣿⣟⠸⢸⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⢀⠀

⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣔⣺⣿⠊⠉⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣶⣶⡶⠛⢻⣤⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⢶⣶⣶⡄⠀⠀⠀⠀⠀⠄⠀⡇⠸⠀

⣿⣿⣿⡇⠀⠀⠀⠀⠀⢀⣤⣤⡀⠀⠀⢹⣿⣿⣏⠉⠙⠛⠋⠙⠿⢿⢿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⠃⠉⢀⣶⢾⣟⠀⠀⠀⠀⠀⠀⠂⣾⠁⠀⠀⠈⠙⠁⠀⢀⠀⠀⠀⠀⠀⡇⠀⠀

⣿⣿⣿⣷⠀⠀⠀⠀⢠⠾⠿⠿⡷⠀⠀⢸⣿⣿⣿⣦⡀⢀⣀⡀⣀⡀⠀⠛⠛⠛⠛⠃⣀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠸⣿⣿⣿⠇⠀⠀⠀⠀⠀⠘⢻⣾⣂⠀⠀⠀⠀⠀⣼⡆⠀⠀⠀⠀⡇⠀⠀

⣿⣿⣿⣿⣶⣦⣀⠀⠀⠻⢶⣿⡗⠀⣠⣾⣿⣿⣿⣿⣿⣾⣿⣿⣿⣷⣶⣶⣶⣶⣶⣿⣿⣿⡄⠀⢀⣿⣿⣿⣟⡽⠛⠻⠿⣿⣿⣿⣄⡀⠀⠈⠛⠃⢰⣶⠂⠀⠀⢀⣤⣬⣿⣿⣿⣿⣶⣤⣤⣿⣇⠀⠀⠀⠀⡇⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⣀⣾⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣾⣿⣿⣿⠛⠹⠆⠀⠈⠉⠛⠉⠈⠁⠀⠀⠀⠀⠰⠏⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⢠⡇⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⣿⣿⣿⣿⠏⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠈⠁⠀⠀

⣿⣿⣿⣿⢻⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⢿⣿⢿⠟⠁⢀⣿⣿⣏⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⡞⠙⠀⠀⠀⣾⣿⣿⣿⣞⢻⣿⣿⡆⢠⣿⣶⣤⣶⣷⣤

⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⢠⣀⣠⣽⡟⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠠⣀⠀⠀⠀⠀⠀⣸⣿⠟⢻⢽⠁⠀⠀⣀⣀⣼⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⡇⠀⠀⠀⠀⠠⣤⣤⣭⣿⡟⢁⣼⣿⣿⡟⠛⠛⠛⠛⠛⠛⠋⢁⣸⣿⣷⣿⠿⠻⣿⣿⣿⣿⣿⡿⢟⣿⣷⣦⠀⠀⢠⣿⡆⠀⣤⣤⣾⡿⠋⠈⠀⡠⢧⠀⠈⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡿⠀⠀⠀⢀⡀⠀⠙⢿⣿⣿⣷⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡄⠀⠀⠀⢸⡇⠀⠀⠀⢸⣿⠁⠀⠀⠀⠈⠘⠇⠀⢉⣽⣟⣱⣦⠀⠀⢀⡀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡇⠀⣆⡀⠀⢷⣦⠤⣬⠟⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣷⣤⣤⣤⣼⣧⢀⣀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⣼⡟⢻⠟⠀⠀⡀⠀⠘⢁⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡇⠘⠻⠇⠀⠈⠁⠀⢈⣿⣿⣿⠿⣿⣿⣿⣿⠀⠀⠀⠀⣀⣤⣒⠉⣭⣭⣬⣍⣻⣿⣶⣤⣴⠾⢿⠏⢸⣿⡄⠀⠀⠀⠀⠀⠸⣿⠀⠉⠀⠀⠈⠀⠀⠀⠿⢣⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡇⠀⠀⠀⠀⠐⠀⠤⠰⠤⠀⠀⣶⣿⣿⣿⣿⠀⠀⠀⠀⠙⢻⡟⠛⠚⠛⢛⡉⡍⡉⡁⠀⣿⠀⢀⠀⠘⢻⠇⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠬⠉⠙⠛⠿⠍⠿⣿⣿⣿⣿⣿

⣿⣿⣧⠀⠠⢤⠤⠤⠀⠀⢀⣀⣤⣾⣿⣿⡿⣿⣏⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠘⡁⠀⡇⡇⠀⠀⠀⢸⡆⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⡄⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿

⣿⣿⣿⡀⠀⠻⣿⣶⣶⣶⣾⣿⣿⣿⣿⣿⠗⠿⠇⠀⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⡇⢰⠀⡇⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡇⠀⢺⡴⠀⠀⠀⠀⣀⣠⣤⣤⣄⡀⠀⢠⣿⣿⣿⣿⣿

⠛⢿⣟⠀⠀⠀⠙⢿⣿⡿⢿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠇⠼⠇⠈⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣇⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣸⣿⣿⣿⣿⣿

⠀⠀⠁⠀⠀⠀⠀⠀⠁⠀⠀⠿⠿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠉⠉⢻

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⢀⣠⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣾⣿⣿⣿⣿⣿⣿⡟⣿⣿⣷⣶⣾

[24A⣿⣷⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⣿⣿

⣿⣿⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠉⠁⠀⠉⠉⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⠋⠀⠀⠻⣿⢠⡘⢿

⣿⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣯⣽⣽⣷⣶⣶⣶⣶⣒⣒⣒⣂⣀⣀⣀⣈⠉⠉⠉⠉⠉⠉⢉⢹⣿⣿⣿⡅⠀⠀⣀⣠⡄⠀⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⠀⠁⣾⠓⣄

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⢸⣿⣿⣿⡇⠀⠀⠿⢿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠁⠸⠀⠀⠙⠁⢠⢸⠀⠙

⣿⣿⣿⣿⣿⣿⠿⠟⠋⠉⠉⠉⠉⠻⣿⠿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⡟⢹⣯⣭⠙⢿⡿⠛⠻⠟⢿⣿⣿⣟⠀⢸⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀

⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣺⣿⠋⠉⠁⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣷⣶⡖⠛⢳⡄⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠄⠀⡇⠘⠀

⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⣠⣄⡀⠀⠀⢸⣿⣿⣟⠋⠙⠿⠛⠛⢿⢿⣿⣿⣿⣾⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⠃⠁⢠⣾⣿⣇⠀⠀⠀⠀⠀⠀⢢⠟⠉⠈⠉⠻⠟⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀

⣿⣿⣿⣿⠀⠀⠀⠀⠀⡾⠿⠿⡿⠀⠀⢀⣿⣿⣿⣦⡀⠀⣀⠀⠀⠀⠀⠛⠛⠛⠛⠃⣀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠸⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣤⡦⠀⠀⠀⠀⢰⡟⠂⠀⠀⠀⠀⠀⡇⠀⠀

⣿⣿⣿⣿⣷⣦⣀⠀⠀⠹⣶⣾⡷⠀⢀⣾⣿⣿⣿⣿⣷⣾⣿⣿⣿⣷⣶⣶⣶⣶⣶⣾⣿⣿⡄⠀⢀⣿⣿⣿⣟⣩⠛⠙⠿⢿⣿⣿⣄⡀⠀⠉⠛⠃⢰⣶⠂⠀⠀⢀⣨⣿⣿⣶⣶⣤⣤⣿⣿⠀⠀⠀⠀⠀⠀⡇⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⣀⣴⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣾⣿⣿⣿⠛⠹⠶⠀⠀⠉⠛⠉⠈⠡⠀⠀⠀⠀⠰⠎⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⢀⡇⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠈⠁⠀⠀

⣿⣿⣿⣿⠻⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠿⣿⢿⠟⠉⣸⣿⣿⢿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⡿⠋⠀⠀⢰⣿⣿⣿⣇⠿⣿⣿⡇⠀⣼⣿⣷⣤⣴⣷⣤

⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠤⣄⣈⣽⡿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⢀⣦⡀⠀⠀⠀⣰⣿⣿⣏⠹⢛⡀⠀⢤⡶⢾⣿⣿⣿⣿⣆⣾⣿⡇⢰⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⡇⠀⠀⠀⠀⠀⣤⣤⣬⣽⡟⢁⣴⣿⣿⡿⠛⠛⠛⠛⠛⠛⠛⢁⣸⣿⣷⣿⡿⠿⣿⣿⣿⣿⣿⡿⢿⣿⠿⠷⠀⠀⠞⢿⡇⠀⣤⣾⣿⡏⠉⠀⠀⣨⣧⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⠁⠀⠀⠀⡀⠀⠘⢿⣿⣿⣷⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⡄⠀⠀⠀⠸⣯⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡷⣷⣤⠀⠀⠈⡀⠀⢠⣶⣾⣿⣿⣿⣷⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⠀⣄⡀⠀⢻⣦⠠⢤⠟⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣷⣤⣤⣤⣼⣿⢀⣀⠀⠈⣿⠀⠀⠀⠀⠀⠀⢰⣿⣿⠟⠁⠈⠀⡠⠀⠘⠃⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡏⠐⠟⠇⠀⠀⠁⠀⢈⣿⣿⣿⠿⣿⣿⣿⣿⠀⠀⠀⠀⢀⣤⠒⠈⣭⣭⣯⣍⣛⣿⣶⣤⣤⡾⢿⠏⢸⣿⡄⠀⠀⠀⠀⠀⠈⠻⠏⠀⠀⠀⠈⠀⠀⠠⣧⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡇⠀⠀⠀⠀⠒⠰⠤⠴⠤⠀⠀⣲⣿⣿⣿⣿⠀⠀⠀⠀⠙⢻⡿⠛⠚⠛⢛⠛⡍⠉⡉⠀⣿⠀⠀⠀⠘⢿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠉⠉⠉⠀⠀⠈⣭⣍⡙⠻⠿⠸⠿⣿⣿⣿⣿⣿

⣿⣿⣷⡀⠠⢤⠤⠤⠄⠀⢀⣤⣤⣾⣿⣿⡿⣿⣿⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠘⡇⠁⡟⢷⠀⠀⠀⢰⡇⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡆⠀⣶⡦⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿

⣻⣿⣿⡄⠀⠹⣿⣶⣶⣶⣾⣿⣿⣿⣿⣿⠗⠿⠏⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⡇⢠⡀⢲⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⡇⠀⣧⡔⠀⠀⠀⠀⣀⣠⣤⣤⣄⠀⠀⢸⣿⣿⣿⣿⣿

⠙⢿⣟⠁⠀⠀⠙⣿⣿⡿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠁⠸⠧⠸⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣇⣠⣼⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣸⣿⣿⣿⣿⣿

⠀⠀⠉⠀⠀⠀⠀⠀⠁⠀⠀⠿⢿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠉⠉⢻

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⣀⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾

⣿⣿⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⠁⠀⠉⠉⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⠋⠀⠀⠻⣿⢠⡘⢿

⣿⣿⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣯⣽⣿⣶⣶⣶⣶⣖⣒⣒⣒⣀⣀⣀⣀⡈⠉⠉⠉⠉⠉⠉⢉⢙⣿⣿⣿⡅⠀⠀⣀⣠⡄⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⠂⠁⣿⠳⣄

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠀⢸⣿⣿⣿⡇⠀⠀⠿⢿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠸⠀⠀⠙⠁⢠⢸⠀⠉

⣿⣿⣿⣿⣿⡿⠿⠟⠋⠉⠉⠉⠉⠻⢿⠿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⡟⢹⣿⣍⠙⢿⡿⠛⠿⠟⢿⣿⣿⣟⡀⢸⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀

⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣺⣿⠋⠉⠁⠀⠀⠀⠀⠀⠈⣻⣿⣿⣿⣿⣿⣿⣿⣷⣶⠞⠛⣦⠄⠀⠀⠀⠀⠀⠀⠀⣀⣀⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⡇⠸⠀

⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⣠⣄⡀⠀⠀⢘⣿⣿⣿⠋⠘⠿⠟⠛⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⠉⠀⣰⣾⣿⡇⠀⠀⠀⠀⠀⠐⡾⠛⠛⠛⠿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀

⣿⣿⣿⣿⠀⠀⠀⠀⠀⡾⠿⠿⡿⠀⠀⢀⣿⣿⣿⣦⡀⠀⢀⠀⠀⠈⠉⠛⡛⠛⠛⢃⣀⠀⠀⠀⠀⠀⠄⣠⣿⣿⣿⣿⣿⣿⣿⣟⠀⡀⢿⣿⣿⡿⠀⠀⠀⠀⠀⢀⣇⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀

⣿⣿⣿⣿⣷⣦⣀⠀⠀⠻⣶⣾⡷⠀⢀⣾⣿⣿⣿⣿⣷⣶⣿⣿⣿⣷⣶⣶⣶⣶⣶⣾⣿⣷⠀⠀⢀⣿⣿⣿⣿⣩⠛⠙⠿⢿⣿⣿⣀⠀⠀⠙⠛⠃⢰⣶⠂⠀⠀⢘⣿⣿⣦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⣀⣴⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣾⣿⣿⣿⠛⠹⠶⠀⠀⠉⠙⠉⠉⠁⠀⠀⠀⠀⠰⠆⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠁⠀⠀

⣿⣿⣿⣿⠻⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣿⣿⣻⣿⠿⠋⢉⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⡿⠟⠉⠀⠀⣸⣿⣿⣿⢿⣿⣿⡏⠀⠀⣸⣿⣷⣤⣴⣷⣤

⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢠⣄⣀⣼⣿⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⣠⣿⡄⠀⢀⣴⣿⣿⡿⠛⠋⢁⠀⠀⣤⣤⣿⣿⣿⣿⣯⣹⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⡇⠀⠀⠀⠀⠀⣤⣤⣬⣾⣟⠁⣠⣿⣿⡿⠛⠛⠛⠛⠛⠛⠛⢁⣸⣿⣧⣿⡿⠿⣿⣿⣿⣿⣿⡿⠿⣿⠟⠂⠀⠀⠁⠛⠁⢀⣼⡿⠛⠀⠀⠀⠀⢀⠀⠀⢼⣶⣿⣿⣿⣿⣿⣟⣿⣷⣀⣼⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⠁⠀⠀⠀⡀⠀⠘⢿⣿⣿⣿⣾⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡄⠀⠀⠀⢸⣯⠀⠀⠀⢨⣿⠀⠀⠀⠀⠀⠀⣴⣿⣿⠟⠻⣷⣤⠀⠀⠉⠀⠀⢀⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⠀⣤⡀⠀⢻⣦⠀⢤⠟⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣷⣤⣤⣤⣴⡿⢀⣀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢿⣿⠁⠀⠀⠀⠀⡀⠀⠘⠂⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡿⠀⠿⠏⠀⠀⠁⠀⢈⣿⣿⣿⢿⣿⣿⣿⣿⠀⠀⠀⠀⢀⣤⠒⠈⢭⣭⣭⣍⣻⣯⣴⣤⣤⡾⢿⠏⢰⣿⡀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⣤⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡗⠀⠀⠀⠀⠂⠂⠤⠔⠦⠀⠀⣰⣿⣿⣿⣿⠀⠀⠀⠀⠙⢻⡿⠓⠚⠛⢛⠛⣍⠉⡉⠀⢿⠀⠀⠀⠘⢿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠈⠓⠛⠋⠉⠉⠠⣤⢨⣭⣍⡙⠻⠧⠸⢿⣿⣿⣿⣿⣿

⣿⣿⣷⡀⠀⢤⡤⠄⠀⠀⠀⣠⣠⣾⣿⣿⡿⣿⣿⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠘⡃⠀⡗⣧⠀⠀⠀⢸⡇⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⡄⠀⣾⠿⠂⠸⠙⠋⠀⠛⠛⠁⠘⠀⠀⢀⣿⣿⣿⣿⣿

⣻⣿⣿⡄⠀⠹⣿⣶⣶⣶⣾⣿⣿⣿⣿⣿⠗⠿⠏⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⡇⢰⠀⢳⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⡇⠀⢋⡀⠀⠀⠀⠀⣀⣠⣤⣤⣄⠀⠀⢸⣿⣿⣿⣿⣿

⠙⢿⣿⠃⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠁⠸⠧⠸⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣇⣠⣴⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣸⣿⣿⣿⣿⣿

⠀⠀⠉⠀⠀⠀⠀⠀⠙⠀⠀⠯⢿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⢀⣀⣚⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠉⠉⢻

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡀⣀⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾

⣿⣿⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⠉⠀⠉⠉⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⠋⠀⠀⠻⣿⢠⡘⢿

⣿⣿⣤⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣯⣿⣷⣶⣶⣶⣶⣖⣒⣒⣒⣀⣀⣀⣀⠈⠨⠉⠉⠉⠉⠉⢉⢹⣿⣿⣿⡄⠀⠀⣀⣠⡄⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢰⠀⠁⣾⠓⣤

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠀⢸⣿⣿⣿⡇⠀⠀⡿⢾⡇⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠸⠀⠀⠙⠁⢀⢸⠀⠉

⣿⣿⣿⣿⣿⡿⠿⠟⠋⠉⠉⠉⠉⠻⢿⢿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⡟⢹⣿⣍⠙⢿⠿⠛⠿⠟⢿⣿⣿⣿⣠⢸⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠀⠀

⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣗⢺⣿⠋⠉⠁⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣷⡶⠚⢳⣤⠀⠀⠀⠀⠀⠀⠀⣀⠀⣔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠘⠀

⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⣠⣄⡀⠀⠀⢘⣿⣿⣿⠟⠙⢿⠿⠿⣿⣿⣿⣿⣷⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣿⣿⣿⣿⣟⠉⢀⣶⣿⣿⡀⠀⠀⠀⠀⠀⣴⠿⠛⠿⠿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀

⣿⣿⣿⣿⠀⠀⠀⠀⠀⡾⠿⢿⡿⠀⠀⠀⣿⣿⣿⣆⠀⠀⠀⠀⠈⠉⠙⢛⣛⠛⠛⢃⣀⠀⠀⠀⠀⠀⠄⣰⣿⣿⣿⣿⣿⣿⣿⡟⢀⠸⣿⣿⣿⣿⠀⠀⠀⠀⢐⣿⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀

⣿⣿⣿⣿⣷⣤⣀⠀⠀⠳⣶⣾⡷⠀⢀⣾⣿⣿⣿⣿⣷⣶⣿⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣷⠀⠀⢠⣿⣾⣿⣿⣿⠛⠻⣿⡿⣿⣧⣀⠀⠈⠛⠛⠁⣶⣶⠂⠀⢿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⣀⣴⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣰⣾⣿⣿⣿⠛⠹⠦⠀⠀⠙⠛⠉⠉⠀⠀⠀⠀⠀⠲⠄⠀⣴⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀

⣿⣿⣿⣿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⡟⣿⣿⡿⠛⣻⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⠀⠻⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣀⠀⠀⠀⢠⣾⣿⣿⣿⣿⠿⠛⠀⠀⠀⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⣼⣿⣷⣤⣴⣷⣦

⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢤⣀⣀⣼⡿⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⢀⢾⣿⠃⢠⣾⣿⢿⠿⠛⠉⠀⠀⠀⠀⣠⣼⣿⣿⣿⣇⠛⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⡏⠀⠀⠀⠀⠀⣤⣤⣭⣽⣿⠃⣠⣿⣿⡿⠛⠛⠛⠛⠛⠛⠛⢁⣸⣿⣷⣿⡿⢿⣿⣿⣿⣿⣿⣿⢿⣿⠟⠀⠀⠀⠈⣡⣶⣿⣟⣉⠀⠀⠀⠀⠀⠀⠀⢀⣩⣽⣿⣿⣿⣿⣿⣿⣿⢀⣀⣾⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⠁⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣾⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡀⠀⠀⠀⢸⣯⠉⠀⠀⢸⣿⠀⠀⠀⠀⣼⣿⡿⠟⠉⠉⢻⣷⣦⡀⠀⠀⠀⠀⠙⣻⣿⣿⣿⣿⣿⣾⣟⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⠀⣦⡀⠀⢳⣦⠀⢨⡿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣷⣄⣄⣀⣸⡿⢀⣀⠀⠈⣿⠀⠀⠀⠀⠻⠟⠀⠀⠀⠀⠀⠉⠀⡀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢹⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡟⠘⠛⠃⠀⠀⠁⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢀⣤⠒⠊⣽⣭⣭⣉⣻⣯⣴⣠⣴⠾⢿⠏⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⣹⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡗⠀⠀⠀⠀⠀⠀⠤⠀⠦⠀⠀⣰⣾⣿⣿⣿⠀⠀⠀⠀⠙⢻⡿⠓⠚⠛⢛⠛⣍⠉⡉⠀⢿⠀⢀⠀⠈⢿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣥⠚⠙⠛⠛⠉⢩⣥⣤⢨⣭⣭⡙⠓⢤⠨⠿⣿⣿⣿⣿⣿

⣿⣿⣷⡀⠠⠴⠦⠄⠀⠀⠀⣀⣀⣼⣿⣿⡿⣿⣿⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠘⡅⠐⡇⣇⠀⠀⠀⢸⡇⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡄⠀⣶⠶⠆⠸⠻⡿⠈⣿⣿⠃⠀⠀⠀⠀⣿⣿⣿⣿⣿

⣻⣿⣿⡆⠀⠹⣿⣷⣶⣶⣾⣿⣿⣿⣿⣿⠗⠿⠏⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⡇⢸⡀⠧⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⡇⠀⢁⡀⠀⠀⠀⠀⣀⣀⣤⣤⣄⠀⠀⢰⣿⣿⣿⣿⣿

⠙⢿⣿⠃⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠁⠸⠧⠸⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⢇⣠⣴⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣧⣀⣸⣿⣿⣿⣿⣿

⠀⠀⠉⠀⠀⠀⠀⠀⠉⠁⠀⠛⢿⣿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⣠⣾⣿⣿⣿⣯⣵⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠉⠉⢻

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⣀⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾

[24A⣿⣷⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⣿⣿

⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⠉⠀⠉⠉⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⠋⠀⠀⠻⣿⢠⡘⢿

⣿⣿⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣯⣽⣷⣶⣶⣶⣶⣖⣒⣒⣒⣀⣀⣀⣀⠀⠨⠉⠉⠉⠉⠉⢉⢻⣿⣿⣿⡀⠀⠀⣀⣠⡄⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⢰⠀⠁⣾⠓⣀

⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠀⢸⣿⣿⣿⡇⠀⠀⡿⢾⡇⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠸⠀⠀⠙⠁⠠⠨⠀⠀

⣿⣿⣿⣿⣿⡿⠿⠟⠋⠉⠉⠉⠉⠛⢿⠿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡟⢹⣿⣍⠙⢿⠿⠛⠿⠟⢿⣿⣿⣿⣠⣸⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡍⠀⠀

⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣗⢺⣿⠋⠉⠁⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣷⠖⢳⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⡖⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⡇⠘⠀

⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⣠⣤⡀⠀⠀⠘⣿⣿⣿⠟⠉⢿⡿⠿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠁⣴⣿⣿⣇⢠⣤⣄⠀⢠⣶⠿⠿⠿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀

⣿⣿⣿⣿⡀⠀⠀⠀⠀⡾⠿⠿⡿⠀⠀⠀⣿⣿⣿⣆⠀⠀⠀⠀⠈⠉⠋⠛⡛⠛⠛⢃⣀⠀⠀⠀⠀⠠⠄⣰⣿⣿⣿⣿⣿⣿⣿⣿⠀⠻⣿⣿⣿⢿⣿⣏⠀⣻⡟⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀

⣿⣿⣿⣿⣷⣦⣄⠀⠀⠛⣶⣾⡿⠀⢀⣼⣿⣿⣿⣿⣷⣴⣿⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣷⠀⠀⢰⣿⣶⣿⣿⡿⠿⣿⣿⣿⣿⣇⡀⠀⠉⠛⠋⠀⠻⠻⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⣀⣴⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣰⣾⣿⣿⣿⠛⠛⠀⠀⠉⠉⠉⠁⠉⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀

⣿⣿⣿⣿⠻⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⡿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢀⣤⠀⠀⣠⣾⣿⣿⣿⣿⣷⠛⠋⠃⠀⣼⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣸⣿⣷⣤⣴⣷⣦

⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠠⣀⣀⣼⡿⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠰⣿⢿⣴⣾⣿⢿⠿⠛⠚⠉⠀⠀⠀⠀⢰⣿⣿⣿⣏⠟⣿⡇⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⡏⠀⠀⠀⠀⠀⣤⣄⣨⣽⣟⠁⣠⣿⣿⡿⠛⠛⠛⠛⠛⠛⠛⢁⣸⣿⣧⣿⡿⢿⣿⣿⣿⣿⣿⡿⢿⣿⠟⠀⢀⣴⣶⣿⡿⠋⣽⣄⡀⠀⠀⠀⠀⠀⠀⠐⠻⣿⣿⣿⣿⡏⣿⣇⠐⢂⣀⣾⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⠁⠀⠀⠀⠀⠀⠈⢿⣿⣿⣷⣾⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡀⠀⠀⠀⢸⡏⠉⠀⠀⢈⣿⠀⠀⣿⣿⠛⠉⠀⠀⠀⠙⠻⣷⣦⠀⠀⠀⠀⠛⠿⣿⣿⣿⣿⣿⣽⣿⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⠀⣆⡀⠀⢹⣦⠀⢠⡿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣷⣤⣄⢀⣸⡇⢀⣀⠀⠀⣿⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠈⠀⡀⠀⠀⠀⣴⣾⣿⣿⣿⣿⣿⣿⣽⡄⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡟⠀⠛⠃⠀⠀⠉⠀⠈⣶⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢀⣤⠒⠊⣽⣭⣭⣉⣻⣯⣴⣤⣰⠾⢿⠏⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⢸⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡟⠀⠀⠀⠀⠂⠀⠤⠀⠀⠀⠀⢰⣾⣿⣿⣿⠀⠀⠀⠀⠙⢻⡿⠓⠚⠛⢛⠛⡍⠉⡉⠀⣿⠀⢀⠀⠈⢿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣃⣶⠚⠛⠛⣋⡉⣩⣥⣤⢨⣭⣭⡙⠂⠤⠀⠿⣿⣿⣿⣿⣿

⣿⣿⣷⠀⠀⠴⠦⠄⠀⠀⠀⢀⣀⣴⣿⣿⡿⣿⣿⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠘⡁⠐⡇⡇⠀⠀⠀⢸⡇⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣽⡇⠀⣬⣭⠅⢹⠿⣿⠈⣿⣿⠇⠀⠀⠀⠀⣿⣿⣿⣿⣿

⢻⣿⣿⡄⠀⠙⣿⣶⣶⣤⣄⣾⣿⣿⣿⣿⠗⠿⠏⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⡇⢸⡀⢧⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⣿⣿⣿⣿⡇⠀⠃⠉⠀⠀⠀⠀⣀⣀⣬⣤⣄⠀⠀⢠⣿⣿⣿⣿⣿

⠙⢿⣟⠃⠀⠀⠈⢿⣿⣿⡿⣿⣿⣿⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠁⠸⠣⠸⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣟⠏⢇⣠⣤⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣧⣀⣸⣿⣿⣿⣿⣿

⠀⠀⠉⠀⠀⠀⠀⠀⠈⠀⠀⠹⠙⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣯⣥⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠉⠉⢻

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⣀⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾

[24A⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⣿⠟⠋⢉⣽⡿⠛⠁⠀⠀⠀⠀⠉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⠛⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⣿⠀⢠⠺⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢻⣿⡟⠀⠘⢿⣿⡟⢠⣌⠻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⣷⣶⣄⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣄⠙⠁⠀⠀⣀⠙⠁⣾⣿⣶⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿

⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢭⡤⠏⣿⣿⣿⣷⠄⠀⠀⠉⠉⠙⠀⠈⠘⢿⣧⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡿⠟⠛⠻⣿⡿⠃⠀⢸⣿⣿⣿⣿⣿⡿⠿⠛⠁⠰⠇⠀⠀⠈⠈⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣶⣄⣠⣾⣿⣧⣀⠀⠚⠛⠛⠛⠛⠋⠀⠀⠀⠀⢀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡄⠀⢸⣿⣿⣿⣿⣿⡶⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡿⠿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣷⣶⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠛⣟⠛⠃⠀⠈⠻⠟⢿⣿⣿⣇⠀⠀⠀⠘⣍⣽⣿⣦⣤⣤⣤⣤⣄⣀⡀⠀⠀⠀⠀⢸⣿⣿⣿

⣦⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣛⠛⠋⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠿⠀⠀⠀⠀⠀⣠⣾⣶⣾⣿⣶⠇⢀⡀⣠⣤⣴⠿⠿⣿⣿⡿⠀⠀⠹⠿⣿⣿⣿⣿⣿⣿⠿⠿⠿⡷⠀⠀⠀⢸⣿⣿⣿

⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠈⠿⢿⣿⣿⣿⣭⡼⠀⠀⠀⠀⠀⠀⣶⣤⣴⣿⣾⣾⠛⢿⣿⡿⠀⠀⠀⢀⣠⣿⣿⡏⠈⠉⠀⢀⠀⠈⠉⠀⠀⠁⠀⠀⠉⠿⠁⠀⠀⠀⠘⢻⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣶⣤⣄⡀⠀⠀⡀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣦⣤⣿⣤⣤⣴⣾⣿⣿⣿⣿⡇⠈⠀⣺⣾⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣾⣤⡀⢀⣰⣔⣻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣧⡆⠀⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⣶⢾⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠈⠛⡛⠛⣿⣿⣿⣿⣧⡤⡀⣴⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠿⠟⠘⣿⠋⠉⠁⠀⣀⣀⡀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢿⡏⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣠⣴⣂⣴⣿⣿⣿⣿⣷⣾⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⡿⢻⣿⠛⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣯⣿⣧⣯⣷⣤⣼⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠈⣿⡏⣸⣿⢣⣼⠀⠀⠀⠄⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⡟⠻⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠿⣿⣿⣿⣿⣿⣿⣧⡤⠼⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⠀⠀⣿⣿⠻⠃⠚⢿⣇⠀⠀⢀⠀⠀⠀⣀⣰⣿⣿⣿⣿⣿⣿⡆⠙⠛⢿⣆⠙⢿⣿⣿⣿⣿

⣿⣿⣿⠈⣿⣿⣿⣿⣿⣿⣿⣿⣭⣤⣤⣄⣀⣙⣟⣿⣿⣿⣿⠿⠀⠀⠀⠀⠀⢀⣨⠁⠀⣈⢿⣽⣿⣿⠁⠸⣿⣿⣟⣉⠁⠀⢿⣧⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠙⢷⠐⢹⣿⣿⣿

⣿⣿⣿⠀⠻⢿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠛⠛⠉⠀⠀⠀⠀⠀⣾⣿⡿⠿⢋⣡⣶⣿⠟⣴⣿⣿⡏⠀⠀⢹⣿⡟⣿⣿⠀⢸⡇⠀⠀⠀⢈⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⠿⠿⠿⠀⠀⠀⠀⠀⠀⡀⠻⣿⣿

⣿⣿⣿⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣿⣿⡿⣩⣾⣿⣿⡿⠁⠘⠤⠀⣿⡇⠁⠅⠂⢸⠇⠀⢀⣄⠀⠀⠀⠀⠀⣿⢀⣾⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿

⣿⣿⡟⠀⠀⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠿⣿⣿⡿⠛⠋⠁⢠⣦⡀⠀⠀⣿⠀⠀⠀⠀⢸⠀⢀⡜⠃⠀⠀⠀⠀⠀⣿⣿⠟⠛⠉⠉⠙⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛

⣿⣿⡇⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⢸⣿⢷⡄⠀⣯⠀⠀⠀⠀⢸⣠⣿⠇⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠶⣾⣤⡀

⣿⣿⠁⠀⠀⠀⠁⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡀⢿⣶⣿⠀⠀⠀⢀⣼⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁

⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⣿⠀⢠⠚⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢻⣿⡟⠀⠘⢿⣿⡿⢠⣌⠻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣷⣶⣄⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣄⠙⠁⠀⠀⣀⠙⠁⣾⣿⣦⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿

⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢥⡴⠏⣿⣿⣿⣷⠄⠀⠀⠉⠉⠛⠁⠉⠙⣷⣶⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡿⠟⠛⠻⣿⡿⠃⠀⢸⣿⣿⣿⣿⣿⡿⠿⠛⠁⠸⠃⠀⠀⠈⠈⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣶⣄⣠⣾⣿⣧⣀⠀⠚⠛⠛⠛⠛⠋⠀⠀⠀⠀⣀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⡀⠀⢸⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡿⠿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣷⣶⣿⣿⡄⠀⠀⠀⠀⠀⠀⠘⠻⡟⠛⡃⠀⠈⠿⠿⣿⣿⣷⠀⠀⠀⠀⠘⣍⣿⣷⣤⣤⣤⣤⣤⣤⣄⡀⠀⠀⠀⠀⢸⣿⣿⣿

⣆⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣛⠛⠋⠀⠀⠀⠈⠉⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⠿⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⠾⠇⠀⠀⣠⣤⣾⣿⣯⡥⠸⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⡿⠿⠿⢿⠆⠀⠀⠀⢸⣿⣿⣿

⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠈⠿⢿⣿⣿⣿⣥⡬⠀⠀⠀⠀⠀⠀⣤⣤⣴⣿⣶⣼⠛⢿⣿⡿⠀⠀⠀⣀⣠⣾⣿⠃⠀⠁⠀⠀⠀⠘⠋⠉⠙⣿⠃⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣶⣤⣄⡀⠀⠀⡀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣦⣤⣿⣦⣴⣶⣿⣿⣿⣿⣿⡄⠈⠁⢸⣿⣶⣤⣄⡀⠒⠛⠀⠀⠀⠀⢠⣤⣤⣤⣤⣄⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣶⣼⣧⡆⠀⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣆⠰⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣇⡀⠀⣲⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣭⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢀⠀⠀⠸⣿⣿⠿⠙⣽⠒⠛⠋⠀⠀⡀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢸⡇⢿⣿⣿⡏⣇⠀⠀⠀⠀⠀⠁⠠⠄⠓⠀⠀⣨⣥⡤⠤⣀⣠⣤⣿⣿⣶⣄⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢸⣿⡌⠉⣿⣇⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣥⣿⣿⠿⢟⣿⣟⣻⣤⣁⣉⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢸⣿⣅⣼⡿⢹⣾⡀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣶⣯⡔⡿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣧⡤⠼⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⠿⠀⠈⣿⡏⠙⠁⠉⠙⣧⠀⠀⣧⠀⠀⢀⣼⣿⣿⣿⣿⣷⡌⢙⣿⣦⡄⠈⠻⢿⣿⣿⣿⣿⣿

⣿⣿⣿⠈⣿⣿⣿⣿⣿⣿⣿⣿⣭⣤⣤⣄⣀⣙⣗⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⣀⣠⠁⠀⣈⢿⣭⣿⣿⠁⠸⣿⣿⣇⠉⠀⠀⣿⡧⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⠱⣦⡀⠘⢻⣿⣿⣿⣿

⣿⣿⣿⠀⠻⢻⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⠛⠉⠀⠀⠀⠀⠀⣿⣿⡿⠟⢋⣡⣶⣿⠟⣤⣿⣿⡏⠀⠀⢹⣿⡛⣷⣦⠀⢸⡆⠐⠠⠄⠀⠀⠀⠀⠸⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠈⠁⠀⠀⢈⠋⢻⣿

⣿⣿⣿⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣿⣿⡟⣩⣾⣿⣿⡿⠁⠘⠤⠀⣿⠇⠈⠀⠂⢸⠃⢀⣴⠇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡿⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿

⣿⣿⡟⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠿⣯⣾⡿⠛⠉⠁⢠⣶⡀⠀⠀⣿⠀⠀⠀⠀⢸⣠⣿⠏⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻

⣿⣿⡇⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⢸⣿⠿⣆⢀⡷⠀⠀⠀⢀⣼⡿⠋⠀⠀⠀⠀⠀⠀⣿⣿⠿⠟⠛⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢹

⣿⣿⠁⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡀⠻⣿⣧⠀⠀⢰⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⠀⠘

[24A⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⣿⠟⠋⢉⣵⡿⠋⠁⠀⠀⠀⠀⠉⠙⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⠛⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿

⣿⠀⠠⠘⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢹⣿⡏⠀⠈⢿⣿⡿⢠⣌⠻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⣷⣶⣄⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣄⠙⠀⠀⠀⡀⠙⠁⣾⣿⣦⡯⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿

⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣷⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠳⣡⠐⠉⣿⣿⣿⡷⠀⠀⠀⠉⠉⠓⠀⠉⠻⣿⣷⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠿⠟⡙⠛⣿⡿⠃⠀⢸⣿⣿⣿⣿⣿⡿⠿⠛⠀⠼⠀⠀⠀⠀⠘⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣄⣤⣾⣿⣧⣀⠀⠚⠛⠛⠛⠛⠁⠀⠀⠀⠀⣀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣆⠀⠀⢸⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡿⠿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣷⣾⣿⣷⡀⠀⠀⠀⠀⠀⣘⣛⣟⡛⢻⠀⠀⠀⡿⠿⣿⡿⡆⠀⠀⠀⠀⠘⣉⣿⣷⣤⣤⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣦⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣛⠚⠋⠀⠀⠀⠈⠁⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⣀⡾⠿⡿⠿⠟⠟⠀⠀⠀⠹⣶⣾⣯⣭⠆⠇⠀⠀⠈⢻⣿⣿⣿⣿⣿⡿⠿⠿⣿⡦⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣥⡬⠀⠀⠀⠀⠀⠀⣤⣤⣴⣷⣶⣽⠛⢿⡿⠿⠀⠀⢀⣠⣴⣿⡇⢀⠀⠀⠀⣀⠀⠀⠀⠀⠈⣿⠀⠂⠀⠀⠀⠀⠀⣾⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣦⣶⣾⣿⣿⣿⣿⣿⣿⣿⣷⠀⠉⠁⢰⣿⣷⡝⢶⣄⠀⠻⣄⠀⠀⠀⢀⣀⣀⣍⠹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣶⣼⣧⡄⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢂⠰⣿⣿⣿⠀⠀⠹⠇⠀⠉⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⡀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣶⣿⣧⣀⣻⣿⣀⣀⡀⠀⣀⣀⣀⡀⢀⣀⣀⣾⣿⣿⣿⣉⣻⣥⣶⡟⣀⣀⣀⣀⡀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠉⠻⡏⠉⠉⠉⢻⡿⠋⢉⠉⢻⣿⠉⠉⡏⠉⠉⠉⡿⠋⢉⠉⠻⡏⠉⠉⠉⢹⡆⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠸⠇⠀⡇⠀⠸⠀⢸⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⠸⠿⡇⠀⢸⠀⠀⣿⡇⠀⢸⡟⢻⣆⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢠⣤⣴⡇⠀⢰⠀⢹⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⢠⣼⡇⠀⢸⠛⠛⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠿⣿⣿⣿⣿⣿⣿⣧⡄⠼⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢹⣿⠀⢸⣿⣿⡇⠀⢸⠀⠸⣧⡀⠘⠀⣠⡏⠀⢀⡇⠀⠈⠉⣧⡀⠘⠀⣠⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣭⣤⣤⣄⣀⣙⣃⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⢀⡠⠀⠀⣀⢿⣭⣿⣿⣄⣨⣿⣿⣿⣥⣬⣿⣿⣿⣟⣛⣹⣿⣛⣛⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡛⢹⣿⣿⣿⣿⣿⣿

⣿⣿⣿⠀⠋⠻⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠟⠛⠛⠉⠀⠀⠀⠀⠀⣾⣿⡿⠟⢋⣡⣶⣿⠏⣤⣿⡏⠉⠉⡟⠉⠉⢹⡏⠉⠉⢹⣿⠉⠹⡏⠉⣿⠋⠉⠉⢻⡟⠉⢀⠈⠹⡏⠉⠉⠉⡏⠉⢉⠉⠹⡟⠉⣀⠉⢹⣿⣿

⣿⣿⣿⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣿⣿⠟⣩⣾⣿⣿⡇⠀⠀⠃⠀⠀⢸⠃⠀⡀⠘⣿⠀⠀⠃⠀⣿⠀⢰⠀⢸⡇⠀⢸⣤⣤⡇⠀⠘⠻⡇⠀⠸⠀⢀⣇⠀⠙⠶⣾⡟⣿

⣿⣿⡟⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⡿⠿⣯⣾⡿⠛⠉⢻⡇⠀⡇⠀⡀⠀⢸⠀⠐⠃⠀⣿⠀⢀⠀⠀⡟⠀⠘⠀⠘⡇⠀⢸⠀⠀⡇⠀⢰⣶⡇⠀⢰⠀⠈⡟⠓⢦⠀⠘⣷⢿

⣿⣿⡇⠀⠀⡽⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⢸⣇⣀⣇⣀⣇⣀⣘⣀⣰⣆⣀⣹⣀⣸⣄⣀⣇⣀⣰⣄⣀⣧⡀⠈⣀⣀⣇⣀⣈⣉⣇⣀⣸⣀⣀⣧⣀⠈⢀⣰⡿⣾

⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡋⠛⠻⠛⠉⠉⠙⠛⠛⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⣛⠛⠉⠀⣸

⣿⠟⠋⢉⣴⡿⠋⠁⠀⠀⠀⠀⠉⠙⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿

⣿⠀⢀⠘⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢻⣿⡟⠀⠈⢿⣿⡿⢠⣌⠻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⣿⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⣰⣾⣿⣷⣶⣄⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣄⠙⠁⠀⠀⡀⠙⢁⣾⣿⡦⣿⠿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿

⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣷⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢆⡤⠏⢹⣿⣿⣿⣷⠀⠀⠈⠋⠉⠁⠙⠻⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠿⠟⡙⠛⣿⡿⠃⠀⢸⣿⣿⣿⣿⣿⠿⠟⠃⠰⠏⠀⠀⠀⠈⠻⠋⠁⠀⠀⠀⠀⢀⠀⠀⠀⠈⢿⣿⣿⣿⣧⣀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣷⣄⣤⣾⣿⣧⣀⠀⠚⠟⠛⠛⠋⠀⠀⠀⠀⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⢠⣶⣿⣿⣷⡀⠀⠀⠀⠻⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡿⠿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣷⣶⣿⣿⡦⠀⠀⠀⢀⣬⣿⣯⣭⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠘⣉⣿⣷⣤⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣦⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣛⠚⠋⠀⠀⠀⠈⠁⠀⠀⠀⠀⢿⣿⣿⣿⣿⡿⠇⠀⠀⢀⣟⠛⠛⠛⠛⠻⠃⠀⠀⠀⢠⣿⣿⣿⣿⣭⠆⠃⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣥⡌⠀⠀⠀⠀⠀⠀⣤⣤⣴⣶⣤⡿⠿⣿⣿⢇⣀⣀⣠⣼⣿⣤⣴⣶⣂⠀⠀⠀⢠⣟⣻⣿⣿⡿⠘⠃⠀⠀⠀⢠⣿⣿⣿⣿⡿⠋⠁⠁⠈⠉⠉⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣧⣴⣶⣿⣿⣿⣿⣿⣿⣿⣯⠉⠉⠁⣀⣿⣄⠀⠻⠋⠻⣿⣇⠀⠀⠀⠀⢀⣼⣛⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣶⣼⣷⡄⠀⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠂⠘⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣷⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣦⣧⣤⡀⣿⣀⣀⣀⠀⠀⣀⣀⣀⡀⠀⣸⣿⣿⣿⣿⣷⣶⣀⣸⣇⠀⢀⣀⣀⣀⡀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠉⠻⡏⠉⠉⠉⢻⡾⠋⢉⠉⢻⣿⠉⠉⡏⠉⠉⠉⡿⠋⢉⠉⠻⡏⠉⠉⠉⢹⡆⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠸⠇⠀⡇⠀⠸⠀⢸⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⠸⠿⡇⠀⢸⠀⠀⣿⡇⠀⢸⣿⡀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢠⣤⣴⡇⠀⢰⠀⢹⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⢠⣼⡇⠀⢸⠛⠛⣿⡇⠀⢸⣿⣷⡄⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠻⣿⣿⣿⣿⣿⣿⣧⡠⠸⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢹⣿⠀⢸⡿⢸⡇⠀⢸⠀⠸⣧⡀⠘⠀⣠⡏⠀⢀⡇⠀⠈⠉⣧⡀⠘⠀⣠⣿⡇⠀⢸⣿⣿⣿⢸⣿⣿⣿

⣿⣿⣿⡀⣿⣿⣿⣿⣿⣿⣿⣿⣥⣤⣤⣄⣀⣙⣃⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⣀⡀⠀⢀⣀⢿⣭⣿⣿⣄⣈⣿⣿⣿⣥⣬⣿⣿⣿⣿⣿⣋⣛⣛⣛⣉⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣉⣻⣿⣿⣿⣿⣿⣼⣿⣿⣿

⣿⣿⣿⡇⠉⠻⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠟⠛⠛⠉⠀⠀⠀⠀⠀⣾⣿⡿⠟⢋⣠⣶⣿⠏⣴⣿⡏⠉⠉⡟⠉⠉⢹⡏⠉⠉⢹⣿⠉⠹⡏⠉⣿⠋⠉⠉⢻⡟⠉⢀⠈⠹⡏⠉⠉⠉⡏⠉⢉⠉⠹⡟⠉⣀⠉⢹⣿⣿

⣿⣿⣿⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣿⣿⠟⣡⣿⣿⣿⡇⠀⠀⠇⠀⠀⢸⠃⠀⡀⠘⣿⠀⠀⠃⠀⣿⠀⢰⠀⢸⡇⠀⢸⣤⣤⡇⠀⠘⠻⡇⠀⠸⠀⢀⣇⠀⠙⠶⣾⡟⣿

⣿⣿⡟⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠿⡿⢿⣥⣿⠟⠋⠉⢻⡇⠀⡇⠀⡀⠀⢸⠀⠐⠃⠀⣿⠀⢀⠀⠀⡟⠀⠘⠀⠘⡇⠀⢸⠀⠀⡇⠀⢰⣶⡇⠀⢰⠀⠈⡟⠓⢦⠀⠘⣷⣿

⣿⣿⡇⠀⠀⡹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⣀⣇⣀⣇⣀⣘⣀⣰⣆⣀⣹⣀⣸⣄⣀⣇⣀⣰⣀⣀⣧⡀⠈⣀⣀⣇⣀⣈⣉⣇⣀⣸⣀⣀⣧⣀⠈⢀⣰⡿⣿

⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⠉⠉⠉⠛⠙⣛⠉⠉⢛⠉⠉⠉⠉⠉⠉⠉⠉⠙⣿⣿⣿⣿⣿⣿⣿⠛⠛⠉⠉⠉⠉⠉⠉⠉⠙⠛⠛⠉⠅⣰

[24A⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⠿⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿

⣿⠟⠋⢉⣴⡿⠋⠁⠀⠀⠀⠀⠉⠙⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿

⣿⠀⠠⠚⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢻⣿⡟⠀⠈⢿⣿⡿⢠⣌⠻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⣷⣶⣄⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢠⣄⠙⠁⠀⢀⡀⠙⠁⣾⣿⡶⡿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿

⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣷⠀⠘⣿⣿⣿⣿⣿⣿⠟⣹⡿⠇⠉⠛⣿⣿⣇⠾⠿⠷⠶⠂⠘⠛⠤⣀⢻⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠿⠟⡉⠛⣿⡿⠃⠀⢸⣿⣿⠿⠟⠉⠸⠟⠀⠀⠀⠀⠈⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣇⣀⡀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣷⣄⣤⣾⣿⣧⣀⠀⢿⣿⠃⠀⠀⠀⠀⣠⣀⣀⣤⣦⣤⣀⣴⣶⣦⡀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣿⣿⣿⣿⡿⠿⣿⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⡀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⣘⣭⣽⣿⣦⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣦⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣛⠛⠋⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⠋⠻⣿⣿⣿⣿⣇⠀⠀⠀⠀⣠⣾⡟⠛⢫⠀⠙⣿⣦⣷⡄⠂⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠈⠿⢿⣿⣿⣯⣥⡬⠀⠀⠀⠀⠀⣀⣀⣶⣦⣿⣿⠿⠟⠛⢃⣀⣿⣿⣿⣿⣿⡿⠇⠀⣀⣾⣿⣿⣿⣾⣛⠃⢤⡿⠝⠋⠀⣰⣿⣿⣿⣿⣿⠟⠛⠛⠻⠿⠟⠛⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⠿⠗⠈⠁⠀⠀⠀⠿⢿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣧⡄⠀⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢻⣿⣿⣿⣿⣿⣿⠟⠟⠿⠿⠿⢿⣿⡿⠿⠟⠁⠀⢷⡀⠀⠀⢀⣴⣿⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢀⣀⣸⣿⣇⣀⣀⣨⣄⣸⣿⣄⣀⣿⣿⣿⣿⣿⣿⣄⣀⣀⣠⣄⣀⣀⠀⢀⣀⣀⣀⡀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⢠⣿⠉⠉⠉⠻⡏⠉⠉⠉⢻⡿⠋⢉⠉⢻⣿⠉⠉⡏⠉⠉⠉⡿⠋⢉⠉⠻⡏⠉⠉⠉⢹⡆⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠸⠇⠀⡇⠀⠸⠀⢸⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⠸⠿⡇⠀⢸⠀⠀⣿⡇⠀⢸⡟⠁⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢿⣿⠀⢠⣤⣴⡇⠀⢰⠀⢹⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⢠⣴⡇⠀⢸⠛⠛⣿⡇⠀⢸⡇⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠻⣿⣿⣿⣿⣿⣿⣷⠖⠚⠛⠛⠛⠛⠿⠿⠿⢿⠿⢿⣿⡿⠃⠐⣿⠀⢸⡏⢸⡇⠀⢸⠀⠸⣧⡀⠘⠀⣠⡏⠀⢀⡇⠀⠈⠉⣧⡀⠘⠀⣠⣿⡇⠀⢸⣿⡇⡀⢸⣿⣿⣿

⣿⣿⣿⡆⢿⣿⣿⣿⣿⣿⣿⣿⣭⣤⣤⣄⣀⣘⣛⣿⣿⣿⡿⠿⠀⠀⣀⣀⣠⡤⠒⣠⠴⠀⢠⣾⣿⣤⣀⣀⣙⣛⣋⣁⣈⣙⣛⢛⣛⣋⣉⣛⣛⣛⣹⣿⡛⠋⣹⣿⣿⣿⣿⣿⣿⣿⣛⣙⣿⣿⣿⣿⣾⣥⣼⣿⣿⣿

⣿⣿⣿⡇⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠟⠛⠉⠀⠀⠀⠀⠀⠛⠿⠛⣁⣴⡾⠋⠀⣠⣾⣿⡏⠉⠉⡟⠉⠉⢹⡏⠉⠉⢹⣿⠉⠹⡏⠉⣿⠋⠉⠉⢻⡟⠉⢀⠈⠹⡏⠉⠉⠉⡏⠉⢉⠉⠹⡟⠉⣀⠉⢹⣿⣿

⣿⣿⣿⠁⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠿⠿⠋⠀⠀⠶⡿⠿⢿⡇⠀⠀⠇⠀⠀⢸⠃⠀⡀⠘⣿⠀⠀⠃⠀⣿⠀⢰⠀⢸⡇⠀⢸⣤⣤⡇⠀⠘⠻⡇⠀⠸⠀⢀⣇⠀⠙⠶⣾⣿⣿

⣿⣿⣿⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠑⠀⠀⠀⢸⡇⠀⡇⠀⡀⠀⢸⠀⠐⠃⠀⣿⠀⢀⠀⠀⡟⠀⠘⠀⠘⡇⠀⢸⠀⠀⡇⠀⢰⣶⡇⠀⢰⠀⠈⡟⠓⢦⠀⠘⣿⣿

⣿⣿⡇⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⣀⣇⣀⣇⣀⣘⣀⣰⣆⣀⣹⣀⣸⣄⣀⣇⣀⣰⣀⣀⣧⡀⠈⣀⣀⣇⣀⣈⣉⣇⣀⣸⣀⣀⣧⣀⠈⢀⣰⡿⣿

⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⠉⠉⠉⠉⠉⠙⠉⠉⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠋⠉⠉⠛⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⡉⠙⠛⠋⠹⡇⣿

⣿⣿⣿⣿⣿⣿⣿⣿⠿⠻⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿

⣿⠟⠋⢉⣴⡿⠋⠁⠀⠀⠀⠀⠉⠙⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⠛⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿

⣿⠀⠠⠚⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢻⣿⡟⠀⠈⢿⣿⡿⢠⣌⠻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿

⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣶⣄⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢠⣄⠙⠀⠀⢠⡄⠙⠁⣾⣿⡶⡿⠿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿

⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣷⡀⠘⣿⣿⣿⣿⣿⣿⡟⠃⠀⠉⠹⣿⣿⣿⠇⠾⠿⠷⣶⣖⠚⠛⠆⢀⢻⣿⣷⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠿⠟⡉⠛⣿⡿⠃⠀⢘⡿⠛⠉⠘⠛⠀⠀⠀⠀⠀⠉⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣇⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣷⣄⣤⣾⣿⣧⣀⠀⠿⠁⠀⠀⠀⣠⣤⣤⣾⣿⣾⣿⣤⣶⣿⣿⠄⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⣠⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣿⣿⣿⣿⡿⠿⣿⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⣀⣯⣭⣿⣧⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣦⡀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣛⠛⠋⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⡀⠀⠀⠀⠀⠀⢀⣾⣿⣿⡿⠛⠛⠁⠉⣒⣲⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣯⣥⡬⠀⠀⠀⠀⢀⣀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⣿⠷⠀⠀⢀⣴⣿⣿⣿⣟⣛⠀⠛⠃⠈⠹⠉⢀⣾⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣶⣤⣄⡀⠀⠀⡀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠉⠀⣤⣴⣾⣿⣿⢿⣿⣿⡿⠟⠃⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣷⣄⠀⡀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣷⠀⠻⣿⣿⣿⣿⣾⣿⣿⠓⣨⣷⣄⠀⠀⠀⣠⣾⣯⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠘⠀⠀⠙⠻⣿⣿⣧⣄⠀⣩⣿⣿⣿⣿⣿⣿⣿⣾⣿⣧⣀⣺⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⠀⢀⣀⣀⣀⡀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠈⠻⠿⠿⢰⣿⠉⠉⠉⠻⡏⠉⠉⠉⢻⡿⠋⢉⠉⢻⣿⠉⠉⡏⠉⠉⠉⡿⠋⢉⠉⠻⡏⠉⠉⠉⢹⡆⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠰⢿⣿⠀⠸⠇⠀⡇⠀⠸⠀⢸⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⠸⠿⡇⠀⢸⠀⠀⣿⡇⠀⢸⡟⠁⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⢸⣿⠀⢠⣤⣴⡇⠀⢰⠀⢹⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⢠⣴⡇⠀⢸⠛⠛⣿⡇⠀⢸⡇⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠻⣿⣿⣿⣿⣿⣿⣧⠀⠙⠛⠛⠛⠛⠿⠟⠛⠁⠀⠀⠀⠀⠀⠘⣿⠀⢸⡿⢸⡇⠀⢸⠀⠸⣧⡀⠘⠀⣠⡏⠀⢀⡇⠀⠈⠉⣧⡀⠘⠀⣠⣿⡇⠀⢸⣷⢄⡀⢸⣿⣿⣿

⣿⣿⣿⡇⢿⣿⣿⣿⣿⣿⣿⣿⣭⣤⣤⣄⣀⣘⣛⣿⣿⣿⡿⠟⠀⣀⣀⣤⡴⠊⣠⠂⠀⠀⠀⠀⣀⣀⣀⣀⣉⣛⣋⣁⣀⣙⣛⢛⣛⣛⣉⣿⣿⣿⣿⣿⣛⣻⣿⣿⣿⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣼⣿⣿⣿

⣿⣿⣿⡇⠘⠻⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠟⠛⠉⠀⠀⠀⠀⠀⠙⠛⢉⣤⡾⠃⠀⠀⠀⠀⣸⡏⠉⠉⡟⠉⠉⢹⡏⠉⠉⢹⣿⠉⠹⡏⠉⣿⠋⠉⠉⢻⡟⠉⢀⠈⠹⡏⠉⠉⠉⡏⠉⢉⠉⠹⡟⠉⣀⠉⢹⣿⣿

⣿⣿⣿⠇⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠞⠛⠋⠀⠀⠀⠀⠈⠀⢹⡇⠀⠀⠇⠀⠀⢸⠃⠀⡀⠘⣿⠀⠀⠃⠀⣿⠀⢰⠀⢸⡇⠀⢸⣤⣤⡇⠀⠘⠻⡇⠀⠸⠀⢀⣇⠀⠙⠶⣾⣿⣿

⣿⣿⣿⠀⠀⣴⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⡇⠀⡀⠀⢸⠀⠐⠃⠀⣿⠀⢀⠀⠀⡟⠀⠘⠀⠘⡇⠀⢸⠀⠀⡇⠀⢰⣶⡇⠀⢰⠀⠈⡟⠓⢦⠀⠘⣿⣿

⣿⣿⡟⠀⠀⣹⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⣀⣇⣀⣇⣀⣘⣀⣰⣆⣀⣹⣀⣸⣄⣀⣇⣀⣰⣄⣀⣧⡀⠈⣀⣀⣇⣀⣈⣉⣇⣀⣸⣀⣀⣧⣀⠈⢀⣰⡿⣿

⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠉⠉⠉⠙⠉⠉⠉⠉⠛⠉⠉⠉⠉⠉⠉⠛⠉⠙⠛⠉⠙⠛⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⡿⢟⣿⡃⣿

⣿⣿⣿⣿⣿⣿⣿⣿⠿⠻⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿

⣿⠟⠋⢉⣴⡿⠋⠁⠀⠀⠀⠀⠉⠙⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⠋⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⣿⠀⢠⠚⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢿⣿⡟⠀⠈⢿⣿⡟⢠⣄⠻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⣷⣶⣄⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢠⣄⠙⠁⠀⠀⡄⠙⠁⣾⣿⡷⣿⠿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿

⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣷⠀⠘⣿⣿⣿⡿⢿⡝⢿⣿⣿⣿⣿⣿⣿⡿⠧⠾⠻⢿⡶⢦⡀⣟⠀⢀⠹⣿⣷⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠿⠟⡙⠛⣿⡿⠃⠀⠈⠿⠛⠋⠀⢀⣘⠛⣿⡍⠻⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠾⣷⣿⣿⣿⣿⣿⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣷⣄⣤⣾⣿⣧⣀⠀⠀⠀⣠⣤⣴⣿⣿⣿⣿⣿⡇⣠⣶⣾⣿⡦⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⣠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣿⣿⣿⡿⠿⣿⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⢛⣿⣿⣿⡟⠃⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⣩⣬⣿⣷⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣧⡀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣛⠛⠋⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⡟⢨⣿⣿⢿⣿⣦⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⡿⠟⠻⠟⠙⣣⠀⣠⣶⣾⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠈⠿⢿⣿⣿⣿⣥⡼⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣧⣼⣿⣿⣿⣯⣽⣿⣦⡀⠀⣀⣤⣾⣿⣿⣿⣿⡻⠿⠒⠿⠇⠘⠟⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣶⣤⣄⡀⠀⠀⡀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⣠⣿⣿⣿⣿⣿⣿⣿⣿⣟⡓⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡿⠋⠙⠛⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣷⣤⠀⡀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣷⣄⠀⠀⣠⣾⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣿⣿⣿⣿⢻⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠈⠉⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣾⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⠀⢀⣀⣀⠀⢀⣀⣀⣀⡀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡴⢻⣿⣿⣿⡇⠀⠀⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣄⢠⣿⠉⠉⠉⠻⡏⠉⠉⠉⢻⡿⠋⢉⠉⢻⣿⠉⠉⡏⠉⠉⠉⡿⠋⢉⠉⠻⡏⠉⠉⠉⢹⡆⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠈⠉⠿⢿⣿⣿⣿⣿⣿⣸⣿⠀⠸⠇⠀⡇⠀⠸⠀⢸⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⠸⠿⡇⠀⢸⠀⠀⣿⡇⠀⢸⡟⠁⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠛⠋⠩⠛⣿⣿⣿⠀⢠⣤⣴⡇⠀⢰⠀⢹⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⢠⣼⡇⠀⢸⠛⠛⣿⡇⠀⢸⡇⠀⠀⢸⣿⣿⣿

⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠻⣿⣿⣿⣿⣿⣿⣧⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠸⣿⠀⢸⡿⢻⡇⠀⢸⠀⠸⣧⡀⠘⠀⣠⡏⠀⢀⡇⠀⠈⠉⣧⡀⠘⠀⣠⣿⡇⠀⢸⣿⣄⠀⢸⣿⣿⣿

⣿⣿⣿⡇⢿⣿⣿⣿⣿⣿⣿⣿⣯⣤⣤⣤⣀⣘⣛⣿⣿⣿⣿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣀⣀⣹⣟⣛⣁⣀⣙⣛⣛⣛⣋⣉⣛⣻⣿⣿⣟⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣬⣤⣼⣿⣿⣿

⣿⣿⣿⡇⠸⠛⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠟⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠉⠉⡟⠉⠉⢹⡏⠉⠉⢹⣿⠉⠹⡏⠉⣿⠋⠉⠉⢻⡟⠉⢀⠈⠹⡏⠉⠉⠉⡏⠉⢉⠉⠹⡟⠉⣀⠉⢹⣿⣿

⣿⣿⣿⠇⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠇⠀⠀⢸⠃⠀⡀⠘⣿⠀⠀⠃⠀⣿⠀⢰⠀⢸⡇⠀⢸⣤⣤⡇⠀⠘⠻⡇⠀⠸⠀⢀⣇⠀⠙⠶⣾⣿⣿

⣿⣿⡟⠀⠀⣽⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⣀⣇⣀⣇⣀⣘⣀⣰⣆⣀⣹⣀⣸⣄⣀⣇⣀⣰⣄⣀⣧⡀⠈⣀⣀⣇⣀⣈⣉⣇⣀⣸⣀⣀⣧⣀⠈⢀⣰⣿⣿

⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠉⠉⠉⠛⠉⠉⠉⠙⠋⠉⠉⠉⠉⠉⠛⠛⠉⠙⠛⠿⠿⠟⠋⠉⠉⠙⠛⠉⠉⠛⠉⠛⠋⠉⠙⠛⠛⠉⠁⢻

⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⣿⠟⠋⠉⣵⣿⠛⠁⠀⠀⠀⠀⠙⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⠛⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿

⣿⠀⢀⠘⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢻⣿⡟⠀⠈⢿⣿⡿⢠⣌⠻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣶⣄⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢠⣄⠙⠁⠀⠀⡄⠙⠁⣾⣿⡶⣿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿

⠇⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣧⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠾⠿⣷⡀⠀⠀⠛⠀⢀⠛⢟⣵⣿⣷⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡿⢿⣍⠉⣻⣿⠟⠀⠀⠀⠰⢿⣿⣟⠻⣿⣄⠙⣿⠟⠉⠀⠀⠀⠀⠀⠈⠑⠆⠀⠈⠀⢿⣧⣾⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣧⣤⣾⣿⣿⣎⡀⠀⢸⣷⣾⣿⣿⣿⣿⣿⣧⠄⠀⣀⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⠀⠀⠀⠀⢠⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⡿⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢩⣤⣿⣷⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣦⡀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣟⣻⡏⠀⠸⣿⣿⣿⣿⣿⣿⣿⠇⢀⣿⣿⣷⣶⡇⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⠿⠛⠛⠛⢣⣠⣤⣶⣶⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣷⣄⡀⠀⠀⠀⠀⠀⠈⠙⠿⠿⠿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣭⣯⣁⡠⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⠿⠿⠶⠠⣦⠄⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣷⣤⣄⡀⠀⢀⡀⠀⠀⠀⠀⣤⣾⣿⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣽⣿⣿⣿⣿⣿⢻⣿⣿⣉⠃⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⣠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣦⡀⠀⢀⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠉⠉⢛⣛⣻⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣏⣀⢀⣀⣀⡀⠀⢀⣀⣀⠀⢀⣀⣀⣀⡀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢰⣿⠉⠉⠉⠻⡏⠉⠉⠉⢻⡿⠋⢉⠉⢻⣿⠉⠉⡏⠉⠉⠉⡿⠋⢉⠉⠻⡏⠉⠉⠉⢹⡆⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠈⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣼⣿⠀⠸⠇⠀⡇⠀⠸⠀⢸⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⠸⠿⡇⠀⢸⠀⠀⣿⡇⠀⢸⡟⠁⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠸⣹⠟⢿⢿⠿⢿⣿⣿⣿⣿⡿⢿⣿⣿⠀⢠⣤⣴⡇⠀⢰⠀⢹⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⢠⣴⡇⠀⢸⠛⠛⣿⡇⠀⢸⡇⠀⠀⢸⣿⣿⣿

⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠻⣿⡿⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠁⠉⠉⠁⠀⠸⣿⠀⢸⡟⢹⡇⠀⢸⠀⠸⣧⡀⠘⠀⣠⡏⠀⢀⡇⠀⠈⠉⣧⡀⠘⠀⣠⣿⡇⠀⢸⣿⣄⠀⢸⣿⣿⣿

⣿⣿⣿⡇⢿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣤⣀⣀⠈⠁⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣙⣛⣋⣁⣀⣙⣛⢛⣛⣋⣉⣿⣿⣿⣋⣛⣛⢋⣙⣿⣿⣿⣛⣻⣿⣿⣿⣿⣿⣿⣿⣷⣮⣤⣼⣿⣿⣿

⣿⣿⣿⡇⠘⠻⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠉⠉⡟⠉⠉⢹⡏⠉⠉⢹⣿⠉⠹⡏⠉⣿⠋⠉⠉⢻⡟⠉⢀⠈⠹⡏⠉⠉⠉⡏⠉⢉⠉⠹⡟⠉⣀⠉⢹⣿⣿

⣿⣿⣿⠇⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠇⠀⠀⢸⠃⠀⡀⠘⣿⠀⠀⠃⠀⣿⠀⢰⠀⢸⡇⠀⢸⣤⣤⡇⠀⠘⠻⡇⠀⠸⠀⢀⣇⠀⠙⠶⣾⣿⣿

⣿⣿⣿⠀⠀⣴⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⡇⠀⡀⠀⢸⠀⠐⠃⠀⣿⠀⢀⠀⠀⡟⠀⠘⠀⠘⡇⠀⢸⠀⠀⡇⠀⢰⣶⡇⠀⢰⠀⠈⡟⠓⢦⠀⠘⣿⠙

⣿⣿⡟⠀⠀⣽⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⣀⣇⣀⣇⣀⣘⣀⣰⣆⣀⣹⣀⣸⣄⣀⣇⣀⣰⣀⣀⣧⡀⠈⣀⣀⣇⣀⣈⣉⣇⣀⣸⣀⣀⣧⣀⠈⢀⣰⡟⠀

⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠋⠉⠋⠛⠛⠟⢻⣿⣿⣟⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⠛⠛⠉⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿

⣿⠟⠋⢉⣽⠟⠉⠀⠀⠈⠉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⠛⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿

⣿⡄⣴⣿⠃⠀⠀⢀⣤⣤⣤⣀⡀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢻⣿⡟⠀⠈⢿⣿⡿⢠⣌⠻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿

⣿⠿⡟⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢠⣄⠙⠁⠀⠀⡄⠙⠁⣾⣿⡦⣿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿

⡟⠀⠀⠀⠀⣸⣿⣿⣿⡿⠿⣿⣿⣿⣿⣷⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢃⣾⣿⣷⠀⠀⠀⠛⠀⢀⠻⢟⢁⣿⣷⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⣿⣿⣿⣿⠛⢻⣿⣿⣿⣯⣭⡄⠀⠀⢸⠿⣿⣿⡻⣿⣇⡀⣽⡍⢛⡋⠉⠀⠀⠀⠀⠉⠉⠂⠀⠀⠈⠀⢿⣷⣀⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⡇⠀⠀⢐⣾⣿⣿⣿⣿⣿⣿⣿⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⢀⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⠛⠀⠀⣤⣶⣾⣷⣆⠀⠀⠀⠀⠀⠀⠀⠃⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⢨⣤⣿⣷⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⡀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣖⣲⣾⡇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⠀⡸⠿⢿⡛⢛⡿⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠻⠛⣋⣀⣠⣤⣀⣛⣻⣻⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣷⣄⠀⠀⠀⠀⠀⠉⠻⠿⠿⠿⠿⠿⠋⢸⣷⡀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣻⡃⠀⢀⢀⣀⣠⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣄⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡍⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣷⣶⣶⣤⣄⣠⣀⣀⣀⣤⣤⣴⣶⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⡙⠁⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⠙⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠉⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣟⣁⣀⢀⣀⣀⡀⠀⢀⣀⣀⠀⢀⣀⣀⣀⡀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⢸⣿⠉⠉⠉⠻⡏⠉⠉⠉⢻⡿⠋⢉⠉⢻⣿⠉⠉⡏⠉⠉⠉⡿⠋⢉⠉⠻⡏⠉⠉⠉⢹⡆⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢸⣿⠀⠸⠇⠀⡇⠀⠸⠀⢸⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⠸⠿⡇⠀⢸⠀⠀⣿⡇⠀⢸⡟⠁⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠈⠉⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠉⠛⢀⣼⣿⠀⢠⣤⣴⡇⠀⢰⠀⢹⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⢠⣴⡇⠀⢸⠛⠛⣿⡇⠀⢸⡇⠀⠀⢸⣿⡿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠙⠻⣿⣧⠀⠀⠀⠀⠀⠁⠿⠹⣿⣿⣿⣿⣿⣿⣿⣿⣧⣴⣶⣿⣿⣿⣿⠀⢸⣿⣿⡇⠀⢸⠀⠸⣧⡀⠘⠀⣠⡏⠀⢀⡇⠀⠈⠉⣧⡀⠘⠀⣠⣿⡇⠀⢸⣿⣤⡀⢸⣿⣷⣿

⣿⣿⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣁⡀⠀⠀⠈⠏⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣉⣈⣙⣛⣛⣛⣛⣙⣟⣛⣛⣉⣙⡛⠋⣙⣿⣿⣛⣋⣻⣿⣟⣋⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡇⠸⠛⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢸⠿⠿⣿⡏⠉⠉⡟⠉⠉⢹⡏⠉⠉⢹⣯⠉⠹⡏⠉⣿⠋⠉⠉⢻⡟⠉⢀⠈⠹⡏⠉⠉⠉⡏⠉⢉⠉⠹⡟⠉⣀⠉⢹⣿⣿

⣿⣿⡇⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠃⠀⠀⢸⠃⠀⡀⠘⣿⠀⠀⠃⠀⣿⠀⢰⠀⢸⡇⠀⢸⣤⣤⡇⠀⠘⠻⡇⠀⠸⠀⢀⣇⠀⠙⠶⣾⡟⠙

⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⡇⠀⡀⠀⢸⠀⠐⠃⠀⣿⠀⢀⠀⠀⡟⠀⠘⠀⠘⡇⠀⢸⠀⠀⡇⠀⢰⣶⡇⠀⢰⠀⠈⡟⠓⢦⠀⠘⣷⠀

⣿⣿⠀⠀⢨⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⣀⣇⣀⣇⣀⣘⣀⣰⣆⣀⣹⣀⣸⣄⣀⣇⣀⣰⣀⣀⣧⡀⠈⣀⣀⣇⣀⣈⣉⣇⣀⣸⣀⣀⣧⣀⠈⢀⣰⠏⠀

⣿⣿⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⡉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠋⠉⠛⠉⠙⣛⡻⠽⢿⣿⣿⠙⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠛⠋⠉⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿

⣿⠿⠏⠁⠀⠀⠀⠀⠈⠉⠉⠉⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⡟⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢻⣿⡟⠀⠈⢿⣿⡿⢠⣌⠻⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿

⠀⠀⠀⠀⣰⣾⣿⣿⣿⣷⡄⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢠⣄⠙⠁⠀⠀⡄⠙⠁⣾⣿⡶⡿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿

⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣾⣿⣷⠀⠀⠀⠛⠀⢀⠙⠏⠀⣿⣦⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⣸⣿⣿⣿⣷⣤⢉⣿⣗⠀⠀⠀⠀⠀⣿⣿⣿⡿⢿⣿⣇⠈⢹⠉⠉⠉⠋⠉⠉⠀⠙⠷⢿⣿⠇⠀⠀⠀⠈⠀⢾⣷⡀⢠⣿⣿⣿⣟⣿⣦⣄⠀⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⢹⣿⣿⣿⣶⣴⣾⣿⣿⣷⣄⠀⠀⠀⠀⣴⣿⣿⣷⣾⣿⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢛⣣⣿⣿⣿⣿⣿⣿⣿⣿⣆⡀⠀⠀⠀⢠⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣭⣭⠁⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢠⣦⣾⣿⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⢿⣿⣿⣿⣿⣟⣛⠉⠉⠁⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢀⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⣿⣿⣿⣿⣿⠿⠛⢿⡿⡇⠀⠀⠀⠀⠘⣻⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣟⣉⣥⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣦⣶⣿⣦⣀⣸⣿⣿⣿⣷⣄⡀⠀⢀⣀⣀⣀⣾⣿⣿⣿⣟⣿⣿⣿⣿⣿⣶⣶⣦⣅⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⢀⣀⣤⣄⠀⠀⣀⠉⠙⠛⠛⠛⠉⠀⠠⢤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣷⣄⣿⣔⡆⠀⠀⢴⣾⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠿⣿⣿⣿⣿⠉⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣾⣾⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⠻⣿⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠋⠀⣀⣀⢀⣀⣀⡀⠀⢀⣀⣀⠀⢀⣀⣀⣀⡀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠘⢿⣿⠉⠉⠉⠻⡏⠉⠉⠉⢻⡿⠋⢉⠉⠻⣿⠉⠉⡏⠉⠉⠉⡿⠋⢉⠉⠻⡏⠉⠉⠉⢹⣦⠀⢸⣿⣿⣿

⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠀⢰⢸⣿⠀⠸⠇⠀⡇⠀⠸⠀⢸⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⠸⠿⡇⠀⢸⠀⠀⣿⡇⠀⢸⡟⠁⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⠛⠀⠘⣾⣿⠀⢠⣤⣴⡇⠀⢰⠀⢹⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⢠⣴⡇⠀⢸⠛⠛⣿⡇⠀⢸⣷⣤⣀⣸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠠⠴⡶⠀⠀⢿⣿⠀⢸⣿⢿⡇⠀⢸⠀⠸⣧⡀⠘⠀⣠⡏⠀⢀⡇⠀⠈⠉⣧⡀⠘⠀⣠⣿⡇⠀⢸⣿⢿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠉⠉⠙⢿⡟⣿⣿⡿⠿⠟⠛⠛⠋⠉⠁⠀⢹⣿⣿⣿⠁⠀⠀⠀⢠⣶⣦⣤⣿⣿⣿⣿⣯⣮⣟⣛⢛⣛⣋⣉⣛⣛⣛⣉⣙⡛⠋⣙⣿⣿⣛⣉⣻⣿⣟⣫⣭⣿⣿⣟⣁⣭⣽⣿⣿⣿⣿

⠸⢿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣤⣶⣦⡄⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢍⣉⣿⠀⠀⠀⠀⢻⡏⠉⠉⡟⠉⠉⢹⡏⠉⠉⢹⣯⠉⠹⡏⠉⣿⠋⠉⠉⢻⡟⠉⢀⠈⠹⡏⠉⠉⠉⡏⠉⢉⠉⠹⡟⠉⣀⠉⢹⣇⣼

⠀⠁⠙⠛⠛⠿⢿⠿⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⣿⡇⠀⠀⠃⠀⠀⢸⠃⠀⡀⠘⣿⠀⠀⠃⠀⣿⠀⢰⠀⢸⡇⠀⢸⣤⣤⡇⠀⠘⠻⡇⠀⠸⠀⢀⣇⠀⠙⠶⣾⡟⠟

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⡇⠀⡀⠀⢸⠀⠐⠃⠀⣿⠀⢀⠀⠀⡟⠀⠘⠀⠘⡇⠀⢸⠀⠀⡇⠀⢰⣶⡇⠀⢰⠀⠈⡟⠓⢦⠀⠘⣧⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣇⣀⣇⣀⣇⣀⣘⣀⣰⣆⣀⣹⣀⣸⣄⣀⣇⣀⣰⣀⣀⣧⡀⠈⣀⣀⣇⣀⣈⣉⣇⣀⣸⣀⣀⣧⣀⠈⢀⣰⡏⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠋⠛⠛⠋⠛⠛⠻⠛⠙⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠛⠋⠉⠀⠀

[24A⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿

⣿⣿⡿⠛⠉⠀⠀⠀⠈⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿

⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢻⣿⡟⠀⠈⢿⣿⡟⢠⣌⠻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿

⠀⠀⠀⠀⠀⢀⣤⣤⣤⣄⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⣄⠙⠁⠀⠀⡄⠙⠁⣾⣿⣦⡿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿

⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⣾⣿⣷⠀⠀⠀⠛⠀⢀⠙⠟⠁⣿⢦⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⣿⣿⣿⣿⠿⠟⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⠉⠻⠋⠉⠉⠉⠛⠛⠛⠹⣤⣤⠙⠻⠇⠀⠀⠀⠈⠀⢾⣷⡀⢀⣿⣿⣿⣿⣿⣧⣄⠀⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⢸⣿⣿⣿⡿⠗⢀⣤⣄⡀⠀⠀⠀⠀⠈⣹⣿⣷⣭⣿⣷⣴⠄⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠛⣇⣼⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⢠⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠸⣿⣿⣿⣿⣶⣿⣿⣿⣿⣦⡄⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⢠⣦⣾⣿⣦⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡇⠀⠀⠀⠀⠘⣻⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠹⣿⣿⣿⣿⣉⣉⣀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣇⣠⣤⣄⠀⠀⣶⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣯⣀⠀⠈⠁⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⣀⣀⠀⠀⠈⠻⣿⣿⣿⣯⣥⡆⠀⠀⣠⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣿⣿⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣷⣄⠀⠀⠀⠈⠉⠉⠉⣠⣤⡀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠛⢿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠈⠩⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⢰⣿⣿⣽⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠹⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⣁⠀⠀⣀⣀⣀⣀⣀⡀⠀⢀⣀⣀⠀⢀⣀⣀⣀⡀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠙⣿⣿⣿⠉⠉⠉⠻⡏⠉⠉⠉⢻⡿⠋⢉⠉⢻⣿⠉⠉⡏⠉⠉⠉⡿⠋⢉⠉⠻⡏⠉⠉⠉⢹⣦⠀⢸⣿⣿⣿

⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⠀⠀⠈⢻⣿⠀⠸⠇⠀⡇⠀⠸⠀⢸⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⠸⠿⡇⠀⢸⠀⠀⣿⡇⠀⢸⡟⠁⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⡇⠀⣀⢸⣿⠀⢠⣤⣴⡇⠀⢰⠀⢹⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⢠⣴⡇⠀⢸⠛⠛⣿⡇⠀⢸⣷⣴⣄⣸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⣀⣤⡄⠀⢻⠸⣿⠀⢸⣿⣿⡇⠀⢸⠀⠸⣧⡀⠘⠀⣠⡏⠀⢀⡇⠀⠈⠉⣧⡀⠘⠀⣠⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⠉⠻⣿⣿⣿⣿⡿⠿⠟⠻⣿⣿⠿⠉⠉⢻⣿⣿⣿⡏⠀⠀⠀⠉⣩⣤⣤⣸⣇⣙⣿⣿⣿⣼⣿⣛⢛⣛⣋⣉⣛⣛⣛⣉⣛⡛⠋⣙⣿⣟⣛⣋⣻⣿⣿⣫⣭⣿⣿⣛⢃⣩⣿⣿⣿⣿⣿

⢹⣿⣿⣿⣿⣿⣯⣤⣤⣤⣤⣤⣤⡌⠚⠋⠁⠀⠀⠀⠀⢿⣿⣦⡀⠀⠀⢿⠛⣻⠂⠀⠀⠀⠼⣿⡏⠉⠉⡟⠉⠉⢹⡏⠉⠉⢹⣿⠉⠹⡏⠉⣿⠋⠉⠉⢻⡟⠉⢀⠈⠹⡏⠉⠉⠉⡏⠉⢉⠉⠹⡟⠉⣀⠉⢹⣇⢡

⠀⠉⠛⠿⠿⠿⢿⣿⡿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣧⡄⠀⠀⠉⠙⠀⠀⠀⠀⢠⣿⡇⠀⠀⠇⠀⠀⢸⠃⠀⡀⠘⣿⠀⠀⠃⠀⣿⠀⢰⠀⢸⡇⠀⢸⣤⣤⡇⠀⠘⠻⡇⠀⠸⠀⢀⣇⠀⠙⠶⣾⡿⢹

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⡇⠀⡀⠀⢸⠀⠐⠃⠀⣿⠀⢀⠀⠀⡟⠀⠘⠀⠘⡇⠀⢸⠀⠀⡇⠀⢰⣶⡇⠀⢰⠀⠈⡟⠓⢦⠀⠘⣧⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⣿⣿⣷⠀⠀⠀⠀⠈⠉⠀⢸⣇⣀⣇⣀⣇⣀⣘⣀⣰⣆⣀⣹⣀⣸⣄⣀⣇⣀⣰⣀⣀⣧⡀⠈⣀⣀⣇⣀⣈⣉⣇⣀⣸⣀⣀⣧⣀⠈⢀⣰⡏⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⢛⣿⣿⣿⠛⠟⠛⠛⠉⠉⠉⠉⠉⠛⠛⠛⠛⠛⠛⠛⠛⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⠛⠛⠋⠉⠀⠀

[24A⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿

⣿⣿⣿⠏⠉⠀⠀⠀⠈⠉⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿

⣿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢻⣿⡟⠀⠘⢿⣿⡿⢠⣌⠻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⣄⠙⠁⠀⢀⡀⠙⠃⣾⣿⣶⡿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿

⠀⠀⠀⠀⢀⣴⣶⣶⣶⣤⡀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⣼⣿⣷⠀⠀⠀⠛⠀⢀⠹⠟⠁⣿⢶⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⡏⠉⠉⠉⠉⢹⣿⡿⣋⠀⠂⠙⠿⠏⠀⠀⠀⠈⠀⢾⣷⡀⠀⣿⣾⣿⣿⣿⣧⣀⠀⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⣼⣿⣿⣿⡿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠿⢿⣿⣛⣿⣿⠈⠁⠀⠀⠀⠀⠈⠁⠀⠙⠿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣃⣼⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⢀⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⣿⣿⣿⣿⠛⠂⣠⣤⡀⠀⠀⠀⠀⠀⢰⣾⣿⣿⣿⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠇⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⢠⣶⣾⣿⣧⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣶⡆⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡇⠀⠀⠀⠀⠘⣻⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣷⣾⡿⠃⠀⠀⠀⠀⢸⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⣰⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡌⠁⠀⠀⠀⠀⠀⠉⠉⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠙⢿⣿⣇⣀⣀⣀⡀⠀⠀⠀⠀⠀⣀⣼⣿⣿⣿⣿⣷⣾⣿⣷⣄⣀⣀⡙⠻⣗⣿⣷⣤⣤⣠⣴⣶⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣤⣶⣦⡀⠀⠈⠻⢿⣿⣷⣴⠆⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣦⡀⠀⠀⠀⢀⣰⣿⡛⠂⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣋⠉⠁⣀⣀⣀⠀⠀⣀⣠⣤⣤⣀⣀⠀⢀⣀⣀⠀⢀⣀⣀⣀⡀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⢿⣿⣿⣶⣄⡀⢸⣿⣿⣿⣿⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠈⢿⣿⣿⣿⠉⠉⠉⠻⡏⠉⠉⠉⢻⡾⠋⢉⠉⢻⣿⠉⠉⡏⠉⠉⠉⡿⠋⢉⠉⠻⡏⠉⠉⠉⢹⣦⠀⢸⣿⣿⣿

⣯⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠻⣿⣿⠀⠸⠇⠀⡇⠀⠸⠀⢸⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⠸⠿⡇⠀⢸⠀⠀⣿⡇⠀⢸⡟⠁⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⠀⠀⢸⣿⠀⢠⣤⣴⡇⠀⢰⠀⢹⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⢠⣴⡇⠀⢸⠛⠛⣿⡇⠀⢸⣷⣦⡀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠭⢉⡉⠉⠀⣿⠸⣿⠀⢸⣿⢿⡇⠀⢸⠀⠸⣧⡀⠘⠀⣠⡏⠀⢀⡇⠀⠈⠉⣧⡀⠘⠀⣠⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⡿⠟⠛⠋⠙⠻⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⠏⠀⠀⠶⢿⣻⣦⣄⣽⣄⣙⣛⣛⣁⣬⣿⣛⣛⣛⣋⣉⣛⣛⣛⣉⣙⡛⢋⣹⣿⣿⣛⣛⣻⣿⣿⣛⣙⣻⣿⡛⢋⣽⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣯⣤⣤⣤⣤⣤⣤⡍⠟⠋⠉⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣰⣿⣿⡏⠉⠉⡟⠉⠉⢹⡏⠉⠉⢹⣿⠉⠹⡏⠉⣿⠋⠉⠉⢻⡟⠉⢀⠈⠹⡏⠉⠉⠉⡏⠉⢉⠉⠹⡟⠉⣀⠉⢹⣿⣿

⠈⠙⠻⠿⠿⢿⣿⠿⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠈⢉⣩⣿⡇⠀⠀⠇⠀⠀⢸⠃⠀⡀⠘⣿⠀⠀⠃⠀⣿⠀⢰⠀⢸⡇⠀⢸⣤⣤⡇⠀⠘⠻⡇⠀⠸⠀⢀⣇⠀⠙⠶⣾⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⢛⣿⡇⠀⡇⠀⡀⠀⢸⠀⠐⠃⠀⣿⠀⢀⠀⠀⡟⠀⠘⠀⠘⡇⠀⢸⠀⠀⡇⠀⢰⣶⡇⠀⢰⠀⠈⡟⠓⢦⠀⠘⣷⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠘⣿⣇⣀⣇⣀⣇⣀⣘⣀⣰⣆⣀⣹⣀⣸⣄⣀⣇⣀⣰⣀⣀⣧⡀⠈⣀⣀⣇⣀⣈⣉⣇⣀⣸⣀⣀⣧⣀⠈⢀⣰⡏⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠻⠋⠉⢻⡟⠛⠻⠟⠛⠉⠉⠉⠉⠛⠛⠛⠛⠉⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⠙⠛⠋⠉⠀⠀

[24A⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠙⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⣿⣿⣟⠉⠉⠀⠀⠀⠈⠉⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢻⣿⡟⠀⠘⢿⣿⡿⢠⣌⢻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⣄⠙⠃⠀⢀⡀⠙⠃⣾⣿⣶⡿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿

⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⣼⣿⣷⠀⠀⠀⠛⠀⢀⠻⠟⠙⣿⣾⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⢠⣾⣿⣿⣿⣿⣦⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠉⠉⠉⢻⣿⣿⡋⠀⠂⠙⠿⠟⠀⠀⠀⠘⠀⣾⣷⡀⢐⣿⣾⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠈⢁⡾⢿⣿⣙⣿⣿⠋⠀⠀⠀⠀⠀⢸⣏⠀⢶⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣇⣼⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⡶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⣾⣿⣿⠟⣋⠉⠙⣿⠁⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⢠⣶⣾⣿⣧⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⢻⣿⣿⣷⣬⣤⣾⣿⣷⣀⡀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⠀⠀⠀⠈⠚⢻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⢿⣿⡟⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠉⠉⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠘⢿⣿⡟⠿⠿⠛⠛⠛⠁⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣦⣾⣶⣄⠀⠀⠐⠿⣿⣭⣷⣤⣀⣀⣀⣠⣤⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣀⣤⡀⠀⠀⠹⣷⣶⣒⣀⡆⠀⠀⠀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣖⠘⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣦⡀⠀⠉⠛⠛⣹⣟⡳⠆⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⣀⠀⠀⣀⣀⣀⠀⠀⣀⣠⣿⣷⣶⣤⣄⣀⣀⣀⠀⢀⣀⣀⣀⡀⠀⠀⢸⣿⣿⣿

⣿⣿⠿⣿⣿⣦⣄⡀⢰⣿⣿⣿⣶⣤⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠹⣿⣿⣿⣿⠉⠉⠉⠻⡏⠉⠉⠉⢻⡾⠋⢉⠉⢻⣿⠉⠉⡏⠉⠉⠉⡿⠋⢉⠉⠻⡏⠉⠉⠉⢹⣦⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⣿⣄⠀⠀⠘⢿⣿⣿⠀⠸⠇⠀⡇⠀⠸⠀⢸⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⠸⠿⡇⠀⢸⠀⠀⣿⡇⠀⢸⡟⠁⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⢹⣿⠀⢠⣤⣴⡇⠀⢰⠀⢹⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⢠⣼⡇⠀⢸⠛⠛⣿⡇⠀⢸⣷⣀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⣿⣿⣟⠛⠃⢰⣾⣿⠀⢸⣿⣿⡇⠀⢸⠀⠸⣧⡀⠘⠀⣠⡏⠀⢀⡇⠀⠈⠉⣧⡀⠘⠀⣠⣿⡇⠀⢸⣿⣿⣧⣼⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢻⣿⢿⣿⣿⣿⣿⣿⢿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⢶⡾⣿⣟⣷⣤⣸⣿⣉⣛⣛⣯⣽⣿⣟⣛⣛⣛⣉⣛⣛⣛⣉⣻⣿⠟⣛⣿⣿⣿⣋⣛⣿⣿⣫⣾⣿⣿⡏⢉⣻⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⢠⡄⠾⠟⠛⠁⠀⠀⠀⠻⣿⣿⠿⠟⠙⢿⣿⣿⣿⠟⠀⠀⢰⣾⣿⣿⡏⠉⠉⡟⠉⠉⢹⡏⠉⠉⢹⣿⠉⠹⡏⠉⣿⠏⠉⠉⢻⡟⠉⢀⠈⠹⡏⠉⠉⠉⡏⠉⢉⠉⠹⡟⠉⣀⠉⢹⣿⣿

⠻⢿⣿⢿⡿⠿⠛⠉⠁⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⠀⠀⠀⠀⢿⣿⣿⠀⠀⠘⠛⣻⣿⣿⡇⠀⠀⠇⠀⠀⢸⠃⠀⡀⠘⣿⠀⠀⠃⠀⣿⠀⢰⠀⢸⡇⠀⢸⣤⣤⡇⠀⠘⠻⡇⠀⠸⠀⢀⣇⠀⠙⠶⣾⣿⢿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠙⠃⠀⠀⠀⠺⢿⣿⣿⡇⠀⡇⠀⡀⠀⢸⠀⠐⠃⠀⣿⠀⢀⠀⠀⡟⠀⠘⠀⠘⡇⠀⢸⠀⠀⡇⠀⢰⣶⡇⠀⢰⠀⠈⡟⠓⢦⠀⠘⣿⠈

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣿⣿⣇⣀⣇⣀⣇⣀⣘⣀⣰⣆⣀⣹⣀⣸⣄⣀⣇⣀⣰⣄⣀⣧⣀⠈⣀⣀⣇⣀⣈⣉⣇⣀⣸⣀⣀⣧⣀⠈⢀⣰⡟⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠈⠙⠛⠛⠛⠻⠏⠉⠉⠉⠙⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⠙⠛⠋⠉⠀⠀

⣿⡟⠋⠉⠁⠀⠀⠀⠈⠉⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿

⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢻⣿⡟⠀⠘⠿⣿⡿⢠⣌⠻⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⣄⠙⠁⠀⠀⡄⠙⠁⣾⣿⣦⡿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⣼⣿⣷⠀⠀⠀⠃⠀⢀⠙⠟⠑⣿⢾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⢀⣴⣿⣿⣶⣦⡄⠀⠀⠀⠀⠹⣿⣿⣿⣿⠿⠛⣡⣿⢿⣿⡯⠉⠉⠉⠉⠉⢹⣿⣿⠋⠀⠀⠙⠻⠏⠀⠀⠀⠈⠀⢾⣷⡀⠀⣿⣼⣿⣿⣿⣷⣤⣀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⣾⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠈⠀⠉⢁⣤⣞⢋⣿⣀⡀⠁⠀⠀⠀⠀⠀⠸⠋⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⡶⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣰⣿⣿⡿⠿⠻⠿⣿⡆⠀⠀⠀⠀⣤⡄⣠⣿⣿⣷⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠈⠁⠀⠀⠙⠛⠃⠀⠀⠀⠀⠀⠀⠃⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠀⢀⣷⣶⣿⣧⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⢻⣿⣿⣄⡁⣀⣠⣿⣧⡀⠀⠀⢀⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⠟⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠈⠈⣹⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⣼⣿⠃⢸⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠈⢿⣿⠟⢿⣿⣷⡶⠿⠁⠀⣹⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣀⡀⠀⠀⠠⢭⣛⣲⣄⡀⠀⠀⠀⠀⠀⠀⣀⣸⣿⣿⣄⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⢧⣤⡤⠀⠀⢀⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠛⢟⣿⣿⣿⣴⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⢀⣴⣤⣷⠀⠀⠀⠀⠀⠀⠀⣿⣿⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣤⣶⣄⠀⠈⠛⠛⠛⢛⣍⡛⠷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⣀⡉⠻⣃⣀⣀⠀⢀⣠⣶⣤⣿⣿⣿⣿⣿⣷⣦⣀⢀⣀⣀⣀⡀⠀⠀⢸⣿⣿⣿

⣻⣿⣿⣿⣦⡠⠀⣶⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⠉⠉⠉⠻⡏⠉⠉⠉⢻⡿⠋⢉⠉⢻⣿⠉⠉⡏⠉⠉⠉⡿⠋⢉⠉⠻⡏⠉⠉⠉⢹⣦⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣷⣿⣿⡇⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⣶⣆⠀⠀⠀⠈⢻⣿⠀⠸⠇⠀⡇⠀⠸⠀⢸⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⠸⠿⡇⠀⢸⠀⠀⣿⡇⠀⢸⡟⠁⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⡀⢸⣿⠀⢠⣤⣴⡇⠀⢰⠀⢹⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⢠⣴⡇⠀⢸⠛⠛⣿⡇⠀⢸⡧⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⠻⠿⣿⣧⣭⠛⠛⢸⣿⠀⢸⣿⣿⡇⠀⢸⠀⠸⣧⡀⠘⠀⣠⡏⠀⢀⡇⠀⠈⠉⣧⡀⠘⠀⣠⣿⡇⠀⢸⣷⣦⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⠈⠻⠃⢠⣿⣿⣿⠇⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢛⣁⣄⢻⣿⣹⣦⣄⣈⣿⣿⣛⣁⣽⣿⣿⣿⣿⣿⣿⣿⣿⣛⣉⣻⣿⣿⣿⣿⣟⣛⣛⣿⣿⣿⣟⣭⣿⣿⣟⣿⣿⣦⣼⣿⣿⣿

⣿⣿⣿⣿⣿⡿⠏⠀⠀⠀⣸⣿⠟⠁⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⡯⢿⢿⣿⡏⠉⠉⡟⠉⠉⢹⡏⠉⠉⢹⣿⠉⠹⡏⠉⣿⠋⠉⠉⢻⡟⠉⢀⠈⠹⡏⠉⠉⠉⡏⠉⢉⠉⠹⡟⠉⣀⠉⢹⣿⣿

⣿⣿⣿⣿⣧⡄⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢀⣴⣿⣷⣾⣿⡇⠀⠀⠇⠀⠀⢸⠃⠀⡀⠘⣿⠀⠀⠃⠀⣿⠀⢰⠀⢸⡇⠀⢸⣤⣤⡇⠀⠘⠻⡇⠀⠸⠀⢀⣇⠀⠙⠶⣾⣟⣿

⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠿⠻⠿⠿⠿⠃⠀⠈⢻⣿⣿⠿⣿⡇⠀⡇⠀⡀⠀⢸⠀⠐⠃⠀⣿⠀⢀⠀⠀⡟⠀⠘⠀⠘⡇⠀⢸⠀⠀⡇⠀⢰⣶⡇⠀⢰⠀⠈⡟⠓⢦⠀⠘⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠹⣿⠀⢸⣇⣀⣇⣀⣇⣀⣘⣀⣰⣆⣀⣹⣀⣸⣄⣀⣇⣀⣰⣀⣀⣧⡀⠈⣀⣀⣇⣀⣈⣉⣇⣀⣸⣀⣀⣧⣀⠈⢀⣰⣟⣿

⣿⣿⣏⠟⣿⡋⣻⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠘⡆⠀⠉⠉⠉⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⢻⡟⠟⠛⠉⠉⠉⠉⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠛⠋⠕⡪

[24A⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⣿⠟⠋⠁⠀⠀⠀⠀⠈⠉⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠉⢿⣿⡏⠀⠘⢿⣿⡟⢠⣌⢻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢠⣌⠙⠁⠀⢀⡀⠙⠁⣿⣿⣶⡿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠁⣾⣿⣧⠀⠀⠈⠃⠀⠀⠻⠏⠁⣷⣶⣿⣿⣧⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⠀⣠⣶⣶⣶⣦⣄⠀⠀⠀⠀⠹⣿⣿⣿⣿⣾⣿⠝⠋⠉⠽⠿⣿⠉⠉⠉⠉⠉⣻⣿⣿⠋⠀⠈⠙⠿⠇⠀⠀⠀⠂⠀⢿⣦⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⢸⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⣙⠛⠁⠀⠉⢀⣠⡀⢀⣖⠀⠈⠀⠀⠀⠀⠀⢹⠋⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⣿⡿⠿⠿⡿⠿⠿⠿⠟⠁⠀⠀⡶⢤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿

⣼⣿⣿⣿⠿⢿⣿⡇⠀⠀⠀⢰⣷⠀⠀⢀⣾⣿⣿⣶⣿⣿⣶⡆⠀⠀⠀⠀⠀⠀⠂⠀⠀⠛⠛⠃⠀⠀⠀⠀⠀⠘⠁⠀⢰⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣾⣿⣧⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣇⠀⠀⢀⣼⣷⣀⠀⢀⣼⡿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣹⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⡄⢀⣀⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⢿⡟⡿⠛⣿⣿⣦⣽⣿⣿⣷⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠠⣬⣝⡶⣄⡀⠀⠀⠀⠀⠀⠀⢀⣘⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢰⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿

⠀⠀⠀⠁⣀⣈⡉⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠀⠀⠀⠘⢽⣿⣿⣿⣧⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⠛⠋⠉⠁⠀⠀⠀⣀⣠⣤⣴⣿⣾⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣀⣀⠀⠀⠛⠿⠷⠶⠖⠺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠄⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣀⡀⠀⣀⣀⣀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⣀⣀⣀⡀⠀⠀⢸⣿⣿⣿

⣿⣿⣷⣦⡀⠀⢠⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⠉⠉⠉⠻⡏⠉⠉⠉⢻⡿⠋⢉⠉⢻⣿⠉⠉⡏⠉⠉⠉⡿⠋⢉⠉⠻⡏⠉⠉⠉⢹⣦⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣷⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⢴⣆⠀⠀⠀⠀⢹⣿⠀⠸⠇⠀⡇⠀⠸⠀⢸⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⠸⠿⡇⠀⢸⠀⠀⣿⡇⠀⢸⡟⠁⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣷⣶⣦⡀⢘⣿⠀⢠⣤⣴⡇⠀⢰⠀⢹⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⢠⣴⡇⠀⢸⠛⠛⣿⡇⠀⢸⡇⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠛⢿⣿⣷⣼⠻⠿⢸⣿⠀⢸⡿⢿⡇⠀⢸⠀⠸⣧⡀⠘⠀⣠⡏⠀⢀⡇⠀⠈⠉⣧⡀⠘⠀⣠⣿⡇⠀⢸⣧⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⠉⠻⠟⠁⣾⣿⣿⡟⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣓⠀⡀⢹⣿⣿⣧⣤⣀⣻⣿⣛⣁⣨⣿⣿⣛⣿⣻⣿⣿⣿⣿⣿⣿⣿⣻⣻⣿⣿⣛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣳⣦⣤⣼⣿⣿⣿

⣿⣿⣿⣿⡿⠀⠀⠀⢸⣿⡿⠃⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⠆⢷⢾⣿⡏⠉⠉⡟⠉⠉⢹⡏⠉⠉⢹⣿⠉⠹⡏⠉⣿⠋⠉⠉⢻⡟⠉⢀⠈⠹⡏⠉⠉⠉⡏⠉⢉⠉⠹⡟⠉⣀⠉⢹⣿⣿

⣿⣿⣿⣿⡀⠀⠀⠀⠛⠋⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣠⣽⣦⣆⣠⣿⡇⠀⠀⠇⠀⠀⢸⠃⠀⡀⠘⣿⠀⠀⠃⠀⣿⠀⢰⠀⢸⡇⠀⢸⣤⣤⡇⠀⠘⠻⡇⠀⠸⠀⢀⣇⠀⠙⠶⣾⣿⣿

⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⠛⠛⠛⠛⠿⠿⠁⠀⠈⢿⣿⡿⠛⢿⡇⠀⡇⠀⡀⠀⢸⠀⠐⠃⠀⣿⠀⢀⠀⠀⡟⠀⠘⠀⠘⡇⠀⢸⠀⠀⡇⠀⢰⣶⡇⠀⢰⠀⠈⡟⠓⢦⠀⠘⣿⣿

⠶⢤⣤⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠻⣿⠀⢸⣇⣀⣇⣀⣇⣀⣘⣀⣰⣆⣀⣹⣀⣸⣄⣀⣇⣀⣰⣀⣀⣧⡀⠈⣀⣀⣇⣀⣈⣉⣇⣀⣸⣀⣀⣧⣀⠈⢀⣰⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠹⣇⠀⠉⠉⠉⠉⠉⠛⠉⠛⠉⠉⠉⠉⠉⠉⠙⠛⠛⠛⠋⠉⠉⠉⠉⠛⠉⠉⠛⠛⠉⠉⠉⠋⠉⠉⠉⠉⠙⠛⠛⠽⢇⣿

⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⣿⠟⠋⠉⠀⠀⠀⠀⠈⠉⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠛⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⠋⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠉⢿⣿⡏⠀⠘⢿⣿⡟⢠⡌⢻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢠⣌⠙⠁⠀⢀⡀⠙⠁⣿⣿⣶⡿⢿⣿⣿⣤⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣾⣿⣧⠀⠀⠈⠃⠀⢀⠻⠏⠐⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿

⠀⣀⣤⣤⣤⣄⡀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣯⣿⣿⠻⠛⠉⣿⣿⡏⠉⠉⠉⠉⣻⣿⡿⠋⠀⠈⠙⠿⠇⠀⠀⠀⠂⠀⢿⣦⠀⢠⣿⡿⠟⠿⠿⠿⠿⠿⣿⣿⡿⠃⠀⠌⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⢰⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣘⠛⠋⠉⠈⠛⠉⠀⠀⢠⠄⠈⠀⠀⠀⠀⠀⢹⠋⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢠⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿

⣼⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⢠⣿⠀⠀⠀⢠⣾⣿⣭⣶⣿⣧⡄⠀⠀⠀⠀⠀⠈⠀⠀⠀⠘⠛⠓⠀⠀⠀⠀⠀⠸⠁⠀⢀⣾⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣿⣧⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿

⣿⣿⡋⠁⠀⠈⣻⣇⠀⠀⠀⣼⣿⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣤⣼⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿

⣿⣿⣿⣶⣶⣿⣿⣿⣷⣶⢾⣿⠇⠀⠀⢀⣽⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⢸⣿⠻⣿⢿⣿⣿⣛⣻⣿⣿⣯⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠠⢭⣓⣦⣄⠀⠀⠀⠀⠀⠀⢀⣙⣿⣿⣿⣿⣿⡿⠁⠀⣴⣦⣴⣤⣤⣴⣾⣿⣿⣿⣷⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿

⠀⠃⠀⠀⠈⠛⠛⠛⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠫⣿⣿⣿⣿⣤⣶⣶⣶⣾⣿⣿⣿⣿⣟⠹⢿⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠸⣿⣿⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠠⠀⠀⠉⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣠⣴⣦⣤⣀⣸⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣆⣀⣀⣀⡀⠀⠀⢸⣿⣿⣿

⣶⣶⣄⠀⠀⠉⣉⣡⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⠉⠉⠉⠻⡏⠉⠉⠉⢻⡿⠋⢉⠉⢻⣿⠉⠉⡏⠉⠉⠉⡿⠋⢉⠉⠻⡏⠉⠉⠉⢹⣦⠀⢸⣿⣿⣿

⣿⣿⣿⣷⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⢴⣆⠀⠀⠀⠀⢹⣿⠀⠸⠇⠀⡇⠀⠸⠀⢸⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⠸⠿⡇⠀⢸⠀⠀⣿⡇⠀⢸⡟⠁⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡏⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣷⣶⣤⡀⠘⣿⠀⢠⣤⣴⡇⠀⢰⠀⢹⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⢠⣴⡇⠀⢸⠛⠛⣿⡇⠀⢸⡇⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠻⣿⣿⣷⣝⡻⠿⢸⣿⠀⢸⡿⣿⡇⠀⢸⠀⠸⣧⡀⠘⠀⣠⡏⠀⢀⡇⠀⠈⠉⣧⡀⠘⠀⣠⣿⡇⠀⢸⣇⠀⠀⢸⣿⣿⣿

⣿⣿⣿⠿⣿⣿⣿⠃⣴⣾⣿⡿⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣦⠀⠀⠹⣿⣿⣧⣄⣀⣹⣿⣟⣁⣬⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⡛⠛⣻⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣛⣭⣠⣤⣼⣿⡿⣿

⣿⣿⡇⠀⠈⠛⠁⣰⣿⣿⠟⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⠂⢲⣤⣿⡏⠉⠉⡟⠉⠉⢹⡏⠉⠉⢹⣿⠉⠹⡏⠉⣿⠋⠉⠉⢻⡟⠉⢀⠈⠹⡏⠉⠉⠉⡏⠉⢉⠉⠹⡟⠉⣀⠉⢹⣿⣿

⣿⣿⠃⠀⠀⢀⣶⡿⠟⠁⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢙⣿⣤⣤⣤⣿⡇⠀⠀⠇⠀⠀⢸⠃⠀⡀⠘⣿⠀⠀⠃⠀⣿⠀⢰⠀⢸⡇⠀⢸⣤⣤⡇⠀⠘⠻⡇⠀⠸⠀⢀⣇⠀⠙⠶⣾⣟⣿

⣿⣿⡀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠿⢿⣿⡿⠿⠿⠿⢿⠿⠿⠋⠀⠻⣿⣿⡟⠛⢻⡇⠀⡇⠀⡀⠀⢸⠀⠐⠃⠀⣿⠀⢀⠀⠀⡟⠀⠘⠀⠘⡇⠀⢸⠀⠀⡇⠀⢰⣶⡇⠀⢰⠀⠈⡟⠓⢦⠀⠘⣿⣿

⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠹⣿⡇⠀⢸⣇⣀⣇⣀⣇⣀⣘⣀⣰⣆⣀⣹⣀⣸⣄⣀⣇⣀⣰⣀⣀⣧⡀⠈⣀⣀⣇⣀⣈⣉⣇⣀⣸⣀⣀⣧⣀⠈⢀⣰⣿⣿

⠊⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠈⢿⡄⠀⠉⠉⠉⠉⠉⠉⠉⠙⠋⠉⠉⠉⠉⠉⠉⠛⢛⡋⠉⠉⠉⠉⠛⠛⠉⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠉⠛⠛⢻⣿⠇⣿

[24A⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⣿⠟⠋⠁⠀⠀⠀⠀⠈⠉⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠛⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⠛⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢻⣿⡏⠀⠘⢿⣿⡟⢠⡌⢻⣿⣿⣿⣿⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠙⠛⠧⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢠⣄⠙⠁⠀⢀⡀⠙⠁⣿⣿⣶⡟⢿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠁⣾⣿⡧⠀⠀⠈⠃⠀⢀⠻⠏⠀⡷⣤⣿⠿⠿⠿⠿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿

⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣩⣿⠟⠛⠟⢛⣿⣿⠉⠉⠉⠉⣻⣿⡿⠋⠀⠀⠙⠿⠇⠀⠀⠀⠂⠀⢿⣦⡀⠀⣏⡙⠁⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⢠⣾⣿⣿⣿⣿⣦⠀⠀⠀⠀⠈⢿⡿⠟⠋⠉⠘⠋⠀⠀⠀⠠⠀⠁⠀⠀⠀⠀⢹⠉⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢁⣸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿

⣼⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⢀⣶⠀⠀⠀⠀⣰⣶⣬⣡⣾⣷⣤⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠙⠛⠒⠀⠀⠀⠀⠘⠁⠀⢀⣼⣿⣿⣿⣄⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣷⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿

⣿⣿⠿⠛⠛⠛⣿⠇⠀⠀⠀⢸⡏⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⠇⠀⣀⠀⠀⠀⠀⠀⠀⠀⢩⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣤⣀⣀⣴⣿⣷⣄⣀⣠⣿⠃⠀⠀⠀⣈⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣦⣤⣤⣴⣾⣿⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⡀⠀⠀⠀⠀⠐⠶⣭⣟⣦⡀⠀⠀⠀⠀⠀⢀⣈⣿⣿⣿⣿⣿⣿⡃⠉⠻⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠘⠏⠘⠉⠿⣿⣷⣶⢿⣿⣿⡆⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠘⠲⢿⣿⣿⣤⣶⣶⣶⣾⣿⣿⣿⣿⣿⠙⢿⠏⠀⠀⢀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣦⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⣀⣤⡄⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠂⠀⠀⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣀⣶⣦⣀⣸⣷⡿⠛⣘⣛⣻⣿⣿⣿⣿⣯⣼⣿⣿⣷⣄⣀⣀⡀⠀⠀⢸⣿⣿⣿

⡀⠀⠀⠙⠛⠿⠟⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⠉⠉⠉⠻⡏⠉⠉⠉⢻⡿⠋⢉⠉⢻⣿⠉⠉⡏⠉⠉⠉⡿⠋⢉⠉⠻⡏⠉⠉⠉⢹⣦⠀⢸⣿⣿⣿

⣿⣷⡀⠀⠀⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣀⢰⣆⠀⠀⠀⠀⢹⣿⠀⠸⠇⠀⡇⠀⠸⠀⢸⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⠸⠿⡇⠀⢸⠀⠀⣿⡇⠀⢸⡟⠁⠀⢸⣿⣿⣿

⣿⣿⣿⣦⣾⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣾⣿⣿⣶⣶⣄⠘⣿⠀⢠⣤⣴⡇⠀⢰⠀⢹⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⢠⣴⡇⠀⢸⠛⠛⣿⡇⠀⢸⡇⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⡇⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠻⢿⣿⣷⣬⡟⠿⢺⣿⠀⢸⡿⣿⡇⠀⢸⠀⠸⣧⡀⠘⠀⣠⡏⠀⢀⡇⠀⠈⠉⣧⡀⠘⠀⣠⣿⡇⠀⢸⣇⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⠇⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠹⣿⣿⣷⣤⣀⣹⣿⣟⣁⣌⣛⣛⣻⣿⣿⣿⣿⣿⣿⣋⣛⣛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣩⣽⣻⣻⣭⣀⣤⣼⣿⡿⣿

⣿⠟⠻⢿⣿⡟⠀⣼⣿⣿⡟⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⠇⠀⠀⣿⡏⠉⠉⡟⠉⠉⢹⡏⠉⠉⢹⣯⠉⠹⡏⠉⣿⠋⠉⠉⢻⡟⠉⢀⠈⠹⡏⠉⠉⠉⡏⠉⢉⠉⠹⡟⠉⣀⠉⢹⣿⣿

⠁⠀⠀⠈⠉⠀⣼⣿⡿⠋⠀⠀⠀⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣷⣶⣾⣿⡇⠀⠀⠃⠀⠀⢸⠃⠀⡀⠘⣿⠀⠀⠃⠀⣿⠀⢰⠀⢸⡇⠀⢸⣤⣤⡇⠀⠘⠻⡇⠀⠸⠀⢀⣇⠀⠙⠶⣾⣟⣿

⠀⠀⠀⣠⣴⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠰⣿⣿⡋⠉⠀⢹⡇⠀⡇⠀⡀⠀⢸⠀⠐⠃⠀⣿⠀⢀⠀⠀⡟⠀⠘⠀⠘⡇⠀⢸⠀⠀⡇⠀⢰⣶⡇⠀⢰⠀⠈⡟⠓⢦⠀⠘⣿⣿

⠀⠀⠀⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣭⣛⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠸⣿⣷⠀⠀⢸⣇⣀⣇⣀⣇⣀⣘⣀⣰⣆⣀⣹⣀⣸⣄⣀⣇⣀⣰⣀⣀⣧⡀⠈⣀⣀⣇⣀⣈⣉⣇⣀⣸⣀⣀⣧⣀⠈⢀⣰⡿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠈⢻⣆⠀⠀⠉⠉⠉⠉⠉⠉⠉⠛⠋⠉⠉⠉⠉⠉⠉⠛⠛⠋⠉⠉⠉⠉⠙⠛⣿⣟⣛⠛⢛⡛⣛⣛⠛⡛⠛⠋⠉⠛⠛⣿⡇⣻

[24A⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⠟⠋⠉⠀⠀⠀⠀⠀⠉⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠋⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⣿⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢻⣿⡏⠀⠘⢿⣿⡟⢠⣌⠻⣿⣿⣿⣿⠀⠀⣀⣤⣤⣦⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿

⠀⠀⠀⠀⠘⠿⣿⣧⠀⠀⠀⠀⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢠⣄⠙⠀⠀⢠⡀⠙⠁⣾⣿⣶⡿⢿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠈⠙⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠁⣼⣿⣷⠀⠀⠀⠁⠀⢀⠙⠟⠁⣿⠠⣿⠟⠁⠀⠀⠉⠛⠿⠿⠿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣹⣿⠿⠻⠟⠙⣿⡯⠉⠉⠈⢹⣿⡿⠋⠀⠀⠉⠻⠇⠀⠀⠀⠈⠀⢺⣷⡄⠀⣏⣸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⢀⣤⣤⣄⡀⠀⠀⠀⠀⠀⢻⣿⣿⡿⠟⠉⠉⠘⠋⠀⠀⠀⠀⠈⠁⠀⠀⠀⠸⠋⠀⠀⠀⣤⣀⠀⠀⠀⠀⠀⠀⡀⠀⠉⠁⣤⣿⣿⣿⡇⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣰⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠛⠋⠀⠀⠀⢀⣴⣦⣄⣠⣾⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠁⠀⠀⣼⣿⣿⣿⣿⣿⣿⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣷⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣇⣤⣾⣷⣦⣀⣀⣀⣀⣀⡀⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⠟⠋⠉⠉⠙⣿⠀⠀⠀⠀⡟⠀⠀⠀⠀⢀⣽⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⠟⠻⣿⣿⣿⣿⣿⣿⣟⣽⣿⠟⣴⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣦⣤⣴⣿⣿⣷⣤⣤⣾⠃⠀⢠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⡀⠀⠀⠀⠀⠀⢟⡲⣽⣷⣄⠀⠀⠀⠀⠀⢀⣈⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⢿⣿⣿⣿⣿⣿⣋⣴⣿⣿⣿⢷⠑⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠿⠿⢿⠿⣿⣿⠿⢿⣿⣿⠇⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣧⣶⣶⣶⣿⣿⣿⣿⣿⣿⠘⠿⡏⠁⠀⠀⢀⡾⠿⠿⢿⣿⣿⣿⣿⡿⢣⣿⣿⢣⣦⡀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠛⠛⠓⠛⣿⣿⣇⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠃⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣶⣦⣄⣀⣈⠀⢠⣶⣿⣿⣿⣯⣿⣿⣀⣩⣍⣪⣃⣧⣀⣀⡀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⣄⣀⣀⡀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠈⢿⣿⣿⠉⠉⠉⠻⡏⠉⠉⠉⢻⡿⠋⢉⠉⢻⣿⠉⠉⡏⠉⠉⠉⡿⠋⢉⠉⠻⡏⠉⠉⠉⢹⣦⠀⢸⣿⣿⣿

⡀⠀⠀⠀⠉⠉⣁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⢰⣦⠀⠀⠀⠀⢹⣿⠀⠸⠇⠀⡇⠀⠸⠀⢸⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⠸⠿⡇⠀⢸⠀⠀⣿⡇⠀⢸⡟⠁⠀⢸⣿⣿⣿

⣿⣦⡀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣷⣶⣄⢘⣿⠀⢠⣤⣴⡇⠀⢰⠀⢹⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⢠⣴⡇⠀⢸⠛⠛⣿⡇⠀⢸⡇⠀⠀⢸⣿⣿⣿

⣿⣿⣷⣾⣿⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠙⢿⣿⣷⣬⡟⠿⢾⣿⠀⢸⡿⢿⡇⠀⢸⠀⠸⣧⡀⠘⠀⣠⡏⠀⢀⡇⠀⠈⠉⣧⡀⠘⠀⣠⣿⡇⠀⢸⣇⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⡇⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠉⢻⣿⣷⣤⣀⣹⣿⣟⣁⣈⣟⣛⣻⣿⣛⣿⣿⣛⣛⣻⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣟⣋⣀⣹⣿⣻⣭⣤⣤⣼⣿⡿⣿

⣿⣿⣿⣿⣿⠁⠀⣀⣾⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣿⣿⠀⠀⣸⡏⠉⠉⡟⠉⠉⢹⡏⠉⠉⢹⣯⠉⠹⡏⠉⣿⠋⠉⠉⢻⡟⠉⢀⠈⠹⡏⠉⠉⠉⡏⠉⢉⠉⠹⡟⠉⣀⠉⢹⣷⣿

⠉⠉⠻⡿⠋⢀⣾⣿⡿⠃⠀⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⡿⠿⣿⡇⠀⠀⠃⠀⠀⢸⠃⠀⡀⠘⣿⠀⠀⠃⠀⣿⠀⢰⠀⢸⡇⠀⢸⣤⣤⡇⠀⠘⠻⡇⠀⠸⠀⢀⣇⠀⠙⠶⣾⣟⣿

⠀⠀⠀⠀⠀⣸⣿⠟⠁⠀⠀⠀⠀⠀⠈⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⣶⣿⡉⠀⠀⠀⢸⡇⠀⡇⠀⡀⠀⢸⠀⠐⠃⠀⣿⠀⢀⠀⠀⡟⠀⠘⠀⠘⡇⠀⢸⠀⠀⡇⠀⢰⣶⡇⠀⢰⠀⠈⡟⠓⢦⠀⠘⣿⣿

⠀⠀⢀⣴⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠻⢻⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⢸⣿⣆⠀⠀⠀⢸⣇⣀⣇⣀⣇⣀⣘⣀⣰⣆⣀⣹⣀⣸⣄⣀⣇⣀⣰⣀⣀⣧⡀⠈⣀⣀⣇⣀⣈⣉⣇⣀⣸⣀⣀⣧⣀⠈⢀⣰⡿⣿

⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡄⠀⠀⠀⠉⠉⠉⠉⠉⣉⣽⣿⠋⠉⠉⠉⠉⠉⠉⠉⠙⠉⠉⠻⣿⣿⣿⡟⠿⠿⠙⡛⡛⠋⠉⠉⠉⠉⠛⠋⠉⠛⠛⣿⡇⣻

[24A⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿

⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⠟⠋⠁⠀⠀⠀⠀⠀⠉⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠋⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿

⣿⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢻⣿⡏⠀⠘⠿⣿⡟⢠⣌⠻⣿⣿⣿⣿⠀⠀⠀⢀⣴⣶⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿

⢿⡀⠀⠀⢰⣿⣿⣧⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢠⣄⠙⠀⠀⢀⡀⠙⠁⣾⣿⣶⡿⢿⣿⣿⡆⠀⠀⠈⠛⠿⣿⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠘⠿⠿⠿⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠁⣼⣿⣧⠀⠀⠀⠁⠀⢀⠙⠟⠀⡿⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡟⢩⡽⠛⠛⠛⢿⣿⡉⠉⢹⣿⡿⠋⠀⠀⠉⠻⠇⠀⠀⠀⠈⠀⠚⣦⡀⠀⡇⣰⣿⣿⣿⠧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⠿⠛⠋⠁⠀⠘⠁⠀⠀⠀⠀⠈⠀⠀⠘⠋⠀⠀⠀⠴⣤⣀⠀⠀⠀⠀⠀⠀⠀⠈⠃⣄⣿⣿⣿⣿⣿⣷⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⢀⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⣠⣤⣀⣀⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣇⣴⣷⣤⣀⠀⠀⠀⠀⠀⢰⣴⠂⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣸⣿⣿⣿⣿⣿⡆⠀⠀⠀⢀⠀⠠⠶⠂⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣗⣼⡿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⣾⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⢀⡠⢤⣀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠈⠙⣿⣿⣿⣿⡿⢛⣩⣴⣶⣿⣷⠖⠄⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⠿⠛⠉⠉⢙⣟⠀⠀⠀⣿⢠⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣄⠀⠀⠀⠀⠀⠀⡌⣳⣿⣷⣄⠀⣀⣀⣀⣀⣤⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠠⠿⣿⣿⣿⣿⣿⣿⢟⣿⣻⣖⢄⡄⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣷⣤⣤⣶⣿⣿⣶⣶⣶⠿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⢀⠙⠻⢿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⠏⠁⠀⠀⠀⣴⣶⣿⣿⣿⣿⣿⡇⠙⠪⢟⡝⡿⡯⡀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠿⠟⠿⢿⣿⡿⠿⣿⣿⡿⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣀⣀⠀⠀⠈⠀⠀⠈⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣴⣦⣀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⣀⣀⣈⣊⣐⣐⣤⣀⡀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠈⠛⠛⠚⢻⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠙⢿⣿⠉⠉⠉⠻⡏⠉⠉⠉⢻⡿⠋⢉⠉⠻⣿⠉⠉⡏⠉⠉⠉⡿⠋⢉⠉⠻⡏⠉⠉⠉⢹⣦⠀⢸⣿⣿⣿

⠀⠀⠀⢄⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣿⣄⠀⠀⠀⢸⣿⠀⠸⠇⠀⡇⠀⠸⠀⢸⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⠸⠿⡇⠀⢸⠀⠀⣿⡇⠀⢸⡟⠁⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⢀⣀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣦⣸⣿⠀⢠⣤⣴⡇⠀⢰⠀⢹⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⢠⣴⡇⠀⢸⠛⠛⣿⡇⠀⢸⡇⠀⠀⢸⣿⣿⣿

⣧⡄⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣿⣿⣷⣯⠛⢻⣿⠀⢸⡏⢹⡇⠀⢸⠀⠸⣧⡀⠘⠀⣠⡏⠀⢀⡇⠀⠈⠉⣧⡀⠘⠀⣠⣿⡇⠀⢸⡇⠀⠀⢸⣿⣿⣿

⣿⣿⣦⣿⣯⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣾⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⢹⣿⣿⣷⣤⣽⣿⣿⣧⣬⣿⣟⣻⣿⣟⣹⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣛⣋⣛⣿⣟⣉⣈⣙⣛⣻⣥⣀⣠⣼⣿⡿⣿

⣿⣿⣿⣿⣿⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣴⣾⡏⠉⠉⡟⠉⠉⢹⡏⠉⠉⢹⣯⠉⠹⡏⠉⣿⠋⠉⠉⢻⡟⠉⢀⠈⠹⡏⠉⠉⠉⡏⠉⢉⠉⠹⡟⠉⣀⠉⢹⣷⣿

⣿⣿⣿⣿⣿⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢻⠛⠛⠉⢻⡇⠀⠀⠃⠀⠀⢸⠃⠀⡀⠘⣿⠀⠀⠃⠀⣿⠀⢰⠀⢸⡇⠀⢸⣤⣤⡇⠀⠘⠻⡇⠀⠘⠀⢀⣇⠀⠙⠶⣾⣟⣿

⠉⠙⢿⣿⠃⠀⣠⣤⡤⠀⠀⠈⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣅⠀⠀⠀⠀⣸⡇⠀⡇⠀⡀⠀⢸⠀⠐⠃⠀⣿⠀⢀⠀⠀⡟⠀⠘⠀⠘⡇⠀⢸⠀⠀⡇⠀⢰⣶⡇⠀⢰⠀⠈⡟⠓⢦⠀⠘⣿⣿

⠀⠀⠀⠁⠀⠀⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠙⠛⢿⣿⣿⣿⣿⠏⠀⠁⠀⠀⣼⣿⡏⠀⠉⠉⠙⢻⣇⣀⣇⣀⣇⣀⣘⣀⣰⣆⣀⣹⣀⣸⣄⣀⣇⣀⣰⣀⣀⣧⡀⠈⣀⣀⣇⣀⣈⣉⣇⣀⣸⣀⣀⣧⣀⠈⢀⣠⡿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣶⡜⠛⠛⠋⠁⠀⠀⠀⠀⠀⠙⣿⡇⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠛⠿⠛⠛⠉⠉⢻⡿⢟⠻⢟⡻⠟⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠙⠛⠉⠉⠛⠋⠙⠛⠛⣿⡇⢻

[24A⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿

⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿

⣿⠟⠋⠉⠀⠀⠀⠀⠀⠉⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⠋⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿

⣿⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⢻⣿⡏⠀⠘⢿⣿⡟⢠⣌⠻⣿⣿⣿⣿⠀⠀⠀⠀⠀⣤⣶⣶⣿⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿

⣿⡀⠀⠀⢰⣿⣿⣧⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⣄⠙⠁⠀⢀⡀⠙⠁⣾⣿⣶⡟⢿⣿⣿⡄⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠈⠁⠀⠀⠸⣿⡿⠿⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠁⣼⣿⣧⠀⠀⠀⠃⠀⢀⠻⠟⠀⡟⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠋⢩⠿⠛⠉⠹⣿⡏⠉⢹⣿⡿⠋⠀⠀⠉⠻⠇⠀⠀⠀⠈⠀⢾⣦⡀⠀⡇⣰⣿⣿⣿⣷⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⣿⣿⣿⡿⠛⠋⠉⠀⠀⠃⠀⠀⠀⠀⠈⠃⠀⠘⠋⠀⠀⠀⠶⢤⣀⠀⠀⠀⠀⠀⠀⠀⠉⠃⣀⣿⣿⣿⣿⣿⣿⣶⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣄⠀⣀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡿⣻⣥⣾⣷⣤⣀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⣠⣶⣷⣶⣦⡀⠀⠀⠀⠀⠀⠠⠴⠖⠀⠀⠀⠠⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⢾⡿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣸⣿⣿⣿⣿⣿⣿⠀⠀⠀⢰⠀⠀⠀⠀⢀⣀⣤⣶⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⢀⡠⠤⣄⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠉⣿⣿⣿⣿⣿⣋⣥⣶⣶⣾⣿⠖⠤⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀⢸⣄⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⠀⠀⠀⠀⠀⠀⠌⢛⣾⣿⣦⠀⣀⣀⣀⣠⣤⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡟⣿⣿⣯⣂⢅⡀⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣿⣏⠉⠀⠀⣠⣼⡀⠀⠀⢘⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⡈⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠁⠀⠀⣤⣾⣿⣿⣿⣿⣿⢿⡅⠀⠙⠫⢛⠕⡫⢗⠀⠂⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣷⣶⣿⣿⣿⣿⣿⣷⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣀⠀⠀⠀⠁⠀⠀⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣴⣦⣀⣠⣿⣿⣿⣿⣿⣿⣽⣿⣿⣄⣀⣀⣀⡉⣂⣅⣩⣂⡀⠀⠀⢸⣿⣿⣿

⠈⠉⠉⠉⣿⣏⡉⣛⣿⣇⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠘⢿⣿⠉⠉⠉⠻⡏⠉⠉⠉⢻⡿⠋⢉⠉⢻⣿⠉⠉⡏⠉⠉⠉⡿⠋⢉⠉⠻⡏⠉⠉⠉⢹⣧⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣿⣆⡀⠀⠀⢸⣿⠀⠸⠇⠀⡇⠀⠸⠀⢸⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⠸⠿⡇⠀⢸⠀⠀⣿⡇⠀⢸⡟⡃⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣷⣼⣿⠀⢠⣤⣴⡇⠀⢰⠀⢹⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⢠⣴⡇⠀⢸⠛⠛⣿⡇⠀⢸⡇⠀⠀⢸⣿⣿⣿

⡀⠀⠀⣠⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡍⠛⣿⣿⠟⢉⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣷⣾⠛⢻⣿⠀⢸⣟⣹⡇⠀⢸⠀⠸⣧⡀⠘⠀⣠⡏⠀⢀⡇⠀⠈⠉⣧⡀⠘⠀⣠⣿⡇⠀⢸⣧⠀⠀⢸⣿⣿⣿

⣿⣦⣠⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠃⣠⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⡛⣉⣛⣿⣟⣉⣀⣙⣛⣛⣻⣀⣤⣼⣿⡿⣿

⣿⣿⣯⣿⡇⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣴⣿⡏⠉⠉⡟⠉⠉⢹⡏⠉⠉⢹⣯⠉⠹⡏⠉⣿⠋⠉⠉⢻⡟⠉⢀⠈⠹⡏⠉⠉⠉⡏⠉⢉⠉⠹⡟⠉⣀⠉⢹⣿⣿

⣿⣿⣿⣿⡇⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡟⠋⠉⢹⡇⠀⠀⠃⠀⠀⢸⠃⠀⡀⠘⣿⠀⠀⠃⠀⣿⠀⢰⠀⢸⡇⠀⢸⣤⣤⡇⠀⠘⠻⡇⠀⠘⠀⢀⣇⠀⠙⠶⣾⣟⣿

⠿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⠿⢿⣿⣅⡀⢀⠀⠀⣸⡇⠀⡇⠀⡀⠀⢸⠀⠐⠃⠀⣿⠀⢀⠀⠀⡟⠀⠘⠀⠘⡇⠀⢸⠀⠀⡇⠀⢰⣶⡇⠀⢰⠀⠈⡟⠓⢦⠀⠘⣿⣿

⠀⠀⠙⠃⠀⠠⣶⡦⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⢼⣿⣯⠁⠉⠙⠛⢻⣇⣀⣇⣀⣇⣀⣘⣀⣰⣆⣀⣹⣀⣸⣄⣀⣇⣀⣰⣀⣀⣧⡀⠈⣀⣀⣇⣀⣈⣉⣇⣀⣸⣀⣀⣧⣀⠈⢀⣰⡿⣿

⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠈⠙⣿⠿⠟⠁⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠙⠛⠉⠛⢿⡟⠻⢟⠿⠟⠛⠋⠛⠋⠉⠉⠛⠉⠉⠉⠉⠙⠛⠉⠛⠉⠙⠛⠟⠙⠛⠻⣿⡇⣻

⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿

⣿⠟⠋⠁⠀⠀⠀⠀⠀⠉⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⠛⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿

⣿⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠉⢻⣿⡏⠀⠘⠿⣿⡏⢠⣌⠻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿

⣿⡀⠀⠀⢸⣿⣿⣷⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢠⣄⠙⠀⠀⢠⡀⠙⠁⣾⣿⣶⡏⢿⣿⣿⡀⠀⠀⠀⠀⠀⠻⢿⣿⣿⣿⣿⡿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿

⠀⠁⠀⠀⠘⠿⡿⠿⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠁⣼⣿⣷⠀⠀⠀⠃⠀⢀⠛⠟⠀⡗⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⢉⡜⠚⠉⠐⢿⣿⠉⢹⣿⠿⠃⠀⠀⠉⠻⠇⠀⠀⠀⠊⠀⢿⣧⡀⠀⡗⣸⣿⣿⣿⣿⣶⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠿⠿⠟⠋⠉⠉⠀⠀⠈⠀⠀⠀⠀⠀⠉⠀⠘⠃⠀⠀⠀⠒⠶⠤⠀⠀⠀⠀⠀⠀⠀⠉⠃⣀⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⡀⣀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⡿⣻⣿⣤⣾⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⢀⣠⣶⣶⣦⣄⠀⠀⠀⠀⠀⠐⠒⠓⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⠿⠆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⢀⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⡄⠀⠀⠀⣀⣀⣤⣶⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⣀⡶⢤⡀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠈⢙⣿⣿⣿⣿⣋⣤⣶⣶⣾⣿⠷⡂⠄⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⢨⣇⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⠀⠀⠀⠀⠀⠀⠠⠝⣳⣿⣷⡄⢀⣀⣀⣠⣴⣿⣿⣿⣿⣿⣿⣇⠁⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣲⢵⡀⠀⠀⡀⠀⠀⠀⢸⣿⣿⣿

⣿⣟⠉⠉⠀⢀⣨⣅⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⡀⠙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠛⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣻⢾⡀⠘⠙⠪⢗⠪⢕⡂⠁⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣷⣶⣶⣿⣿⣿⣿⣇⠋⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣴⣶⣀⣤⣿⣿⣿⣿⣿⣯⣺⣛⣽⣦⣀⣀⣀⣁⣀⣕⣪⣔⣀⠀⠀⢸⣿⣿⣿

⠀⠉⠉⠉⢻⣿⣛⠛⣿⣏⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⡀⠀⠀⠀⠀⠈⢻⣿⠉⠉⠉⠻⡏⠉⠉⠉⢻⡿⠋⢉⠉⢻⣿⠉⠉⡏⠉⠉⠉⡿⠋⢉⠉⠻⡏⠉⠉⠉⢹⣧⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣷⣀⡀⠀⢸⣿⠀⠸⠇⠀⡇⠀⠸⠀⢸⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⠸⠿⡇⠀⢸⠀⠀⣿⡇⠀⢸⡟⢩⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣾⣿⠀⢠⣤⣴⡇⠀⢰⠀⢹⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⢠⣴⡇⠀⢸⠛⠛⣿⡇⠀⢸⡗⠀⠀⢸⣿⣿⣿

⡀⠀⠀⣠⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡍⠙⣻⣿⠟⢉⣼⣟⣿⣿⣿⣿⣿⣿⣿⣿⡟⠻⣿⣿⣾⣏⣻⣿⠀⢸⣿⣼⡇⠀⢸⠀⠸⣧⡀⠘⠀⣠⡏⠀⢀⡇⠀⠈⠉⣧⡀⠘⠀⣠⣿⡇⠀⢸⡯⠄⠀⢸⣿⣿⣿

⣿⣶⣠⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠛⠋⣴⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣿⣿⣿⣿⣿⣿⣿⣿⣟⢛⣻⣿⣟⣛⣉⣛⣿⣟⣉⣀⣙⣛⣛⣡⣥⣠⣼⣿⡿⣿

⣿⣿⣧⣿⡀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⡏⠉⠉⡟⠉⠉⢹⡏⠉⠉⢹⣿⠉⠹⡏⠉⣿⠋⠉⠉⢻⡟⠉⢀⠈⠹⡏⠉⠉⠉⡏⠉⢉⠉⠹⡟⠉⣀⠉⢹⣿⣿

⣿⣿⣿⣿⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣼⢷⣾⣿⣿⣿⣿⣿⣿⠉⠏⠉⠀⢹⡇⠀⠀⠃⠀⠀⢸⠃⠀⡀⠘⣿⠀⠀⠃⠀⣿⠀⢰⠀⢸⡇⠀⢸⣤⣤⡇⠀⠘⠻⡇⠀⠸⠀⢀⣇⠀⠙⠶⣾⣟⣿

⠿⣿⣿⡿⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣾⢿⣿⣿⠿⠿⣿⣧⣄⣀⣀⣀⣼⡇⠀⡇⠀⡀⠀⢸⠀⠐⠃⠀⣿⠀⢀⠀⠀⡟⠀⠘⠀⠘⡇⠀⢸⠀⠀⡇⠀⢰⣶⡇⠀⢰⠀⠈⡟⠓⢦⠀⠘⣿⣿

⠀⠈⠙⠁⠀⠐⣶⠆⠀⠀⠀⠀⠉⠉⠙⠿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⢸⣿⡿⠀⠉⠉⠉⢻⣇⣀⣇⣀⣇⣀⣘⣀⣰⣆⣀⣹⣀⣸⣄⣀⣇⣀⣰⣀⣀⣧⡀⠈⣀⣀⣇⣀⣈⣉⣇⣀⣸⣀⣀⣧⣀⠈⢀⣰⡿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⡿⠏⠀⠀⠀⠀⠀⠀⠀⢻⣷⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠙⠛⠙⠛⠛⠛⠋⠛⠛⠛⠉⠉⠉⠉⠉⠙⠛⠋⠉⠉⠙⠛⠋⠙⠛⠉⠙⠛⠛⠛⠛⠻⣿⡇⣿

⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⣿⣿⣿

⣿⠟⠋⠉⠀⠀⠀⠀⠀⠉⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⣿⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢻⣿⡏⠀⠘⠿⣿⡏⢠⣌⠻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⠿⠄⠀⠀⢸⣿⣿⣷⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢠⣄⠙⠀⠀⢠⡄⠙⠁⣾⣿⣶⡏⢿⣿⣿⡄⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿

⠀⠀⠀⠀⠘⠿⠿⠟⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠁⣼⣿⣧⠀⠀⠀⢁⠀⢀⠛⠏⠀⡇⠀⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⠿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠐⠊⠁⠀⠻⣿⠍⢻⣿⡿⠃⠀⠀⠉⠻⠇⠀⠀⠀⠋⠀⢻⣧⡀⠀⡟⢸⣿⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠻⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠸⠋⠀⠀⠀⠐⠲⠦⠄⠀⠀⠀⠀⠀⠀⠉⠃⣀⣿⣿⣿⣿⣿⣿⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣀⣀⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣀⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⣤⣾⣿⣿⣶⣄⠀⠀⠀⠀⠈⠛⠋⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣶⡶⠷⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⣸⣿⣿⣿⣿⣿⣿⠀⠀⠀⡤⠀⠀⠀⣠⣤⣴⣾⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢀⣰⠦⣄⡀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⠏⠁⠈⠛⢻⣿⣿⣿⣏⣥⣵⣶⣶⣶⡶⠦⣀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⣾⣿⣿⣿⡿⠿⠿⣿⠀⠀⠀⣿⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠬⢙⣾⣿⣧⢀⣀⣀⣤⣴⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⡿⣿⣿⣿⠯⣄⠀⠥⣀⠀⠀⠀⢸⣿⣿⣿

⣿⣿⣅⠀⠀⢀⣤⣦⣀⣀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⢀⠈⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠁⠀⠀⣠⣾⣿⣿⣿⣿⣿⣫⣾⠆⠘⠙⠯⣛⠻⠭⢀⠈⠀⠀⠀⢸⣿⣿⣿

⠻⢿⣿⣿⣾⣿⣿⣿⣿⣿⡌⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣄⡀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣠⣶⣀⣤⣿⣿⣿⣿⣿⣺⣷⣉⣷⣧⣀⣀⣀⣐⣠⣝⣂⣬⣅⣠⠀⢸⣿⣿⣿

⠀⠀⠀⠈⠸⣿⠯⠉⢹⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⢀⠀⠀⠀⠀⢹⣿⠉⠉⠉⠻⡏⠉⠉⠉⢻⡿⠋⢉⠉⢻⣿⠉⠉⡏⠉⠉⠉⡿⠋⢉⠉⠻⡏⠉⠉⠉⢹⡷⡇⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⣀⡀⢸⣿⠀⠸⠇⠀⡇⠀⠸⠀⢸⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⠸⠿⡇⠀⢸⠀⠀⣿⡇⠀⢸⡿⠁⡃⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⠀⢠⣤⣴⡇⠀⢰⠀⢹⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⢠⣴⡇⠀⢸⠛⠛⣿⡇⠀⢸⡯⠀⠀⢸⣿⣿⣿

⣄⠀⠀⣴⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡍⠛⣹⣿⠟⢉⣴⣿⣻⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣶⣏⣹⣿⠀⢸⣿⣿⡇⠀⢸⠀⠸⣧⡀⠘⠀⣠⡏⠀⢀⡇⠀⠈⠉⣧⡀⠘⠀⣠⣿⡇⠀⢸⡇⠐⠀⢸⣿⣿⣿

⣿⣷⡰⣿⡟⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡛⠋⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢀⣤⣽⣿⣿⣿⣿⣿⣟⣯⣽⣿⣟⣛⣻⣿⣿⣿⣿⣿⣿⣿⡿⢛⣛⣿⣟⣛⣉⣛⣿⣟⣋⣈⣹⣟⡋⣁⣬⣤⣼⣿⡿⣿

⣿⣿⣷⣿⡇⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⠿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡏⠉⠉⡟⠉⠉⢹⡏⠉⠉⢹⣿⠉⠹⡏⠉⣿⠋⠉⠉⢻⡟⠉⢀⠈⠹⡏⠉⠉⠉⡏⠉⢉⠉⠹⡟⠉⣀⠉⢹⣿⣿

⣿⣿⣿⣿⠃⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣸⡟⣼⣿⣿⣿⣿⣿⣿⠿⠟⠁⠀⢸⡇⠀⠀⠃⠀⠀⢸⠃⠀⡀⠘⣿⠀⠀⠃⠀⣿⠀⢰⠀⢸⡇⠀⢸⣤⣤⡇⠀⠘⠻⡇⠀⠸⠀⢀⣇⠀⠙⠶⣾⣟⣿

⠟⢿⣿⡟⠀⠀⢀⡀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠛⣿⡿⠿⠟⣻⣷⣄⣀⣀⣀⣼⡇⠀⡇⠀⡀⠀⢸⠀⠐⠃⠀⣿⠀⢀⠀⠀⡟⠀⠘⠀⠘⡇⠀⢸⠀⠀⡇⠀⢰⣶⡇⠀⢰⠀⠈⡟⠓⢦⠀⠘⣿⣿

⠀⠀⠉⠀⠀⠀⠛⠋⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⢿⣿⠈⠉⠉⠉⢻⣇⣀⣇⣀⣇⣀⣘⣀⣰⣆⣀⣹⣀⣸⣄⣀⣇⣀⣰⣀⣀⣧⡀⠈⣀⣀⣇⣀⣈⣉⣇⣀⣸⣀⣀⣧⣀⠈⢀⣰⡿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠉⠟⠟⠃⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠙⠋⠙⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⠛⠛⠋⠉⠛⠛⠛⠛⠛⠉⠉⠛⠛⠛⠛⢻⣿⠃⣿

[24A⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

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

⣿⠟⠋⠉⠀⠀⠀⠀⠈⠉⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⣿⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠉⢻⣿⡏⠀⠘⢿⣿⡏⢠⡈⢻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⠉⠁⠀⠀⠸⣿⣿⣷⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢠⣄⠙⠁⠀⢠⡀⠙⠁⣾⣿⣶⡏⢿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣴⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠈⠙⠛⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⠿⠁⣼⣿⣧⠀⠀⠀⢃⠀⢀⠻⠏⠈⡗⢠⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⠿⠇⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⢀⠰⠊⠁⠀⠘⣿⣿⣿⡿⠃⠀⠀⠙⢻⠏⠀⠀⠀⠋⢀⢻⣦⡀⠀⡿⢼⣿⣿⣿⣿⣶⣦⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠙⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠃⠀⠀⠀⠀⠀⠛⠳⠤⠀⠀⠀⠀⠀⠉⠃⢄⣷⣼⣿⣿⣿⣿⣿⣿⣷⠆⢴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⣀⣴⣦⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣤⣀⣀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⠿⣿⣿⣧⡬⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⣰⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣾⣿⣿⣶⣶⣶⣤⣤⣦⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⢀⣴⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⡇⠀⠀⢠⣤⣤⣶⣿⣿⣿⣿⣿⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⠶⣤⡀⠀⠀⠀⠀⠘⣿⣿⣿⣿⢿⣿⣿⣿⣯⠉⠉⠛⠟⠛⢻⣿⣿⣟⣩⣭⣵⣶⣶⣦⠤⡀⠀⠀⠀⠀⢸⣿⣿⣿

⢾⣿⣿⡋⠉⠉⠀⣠⣍⠀⠀⠀⣧⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⢙⣲⣽⣦⢀⣀⣀⣤⣼⣿⣿⣟⣿⣿⣿⡙⠀⠀⠀⠂⣠⣤⣾⣿⣿⣿⣿⣿⢿⣿⣿⣿⣀⡀⢢⡀⠀⠀⢸⣿⣿⣿

⠈⢿⣿⣷⣦⣴⣾⢿⣿⣷⣦⡆⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⡇⠀⠀⢀⠀⠀⠀⠀⠛⠻⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡇⠀⠙⠫⠍⢝⡻⠂⠺⠤⠀⣸⣿⣿⣿

⠀⠀⠈⠙⠛⢻⣿⠛⠻⢿⡟⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⣈⠁⠀⠀⠀⠀⠀⢸⣿⣿⣯⣿⣿⣿⣿⣿⣿⣦⣄⣀⣀⣀⣴⣿⣿⣿⣿⣿⣿⣰⣿⣯⣠⣄⡀⣁⣂⣬⣈⣌⣹⣷⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠈⠉⠉⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⣄⠀⠀⠀⢸⣿⠉⠉⠉⠻⡏⠉⠉⠉⢻⡿⠋⢉⠉⢻⣿⠉⠉⡏⠉⠉⠉⡿⠋⢉⠉⠻⡏⠉⠉⠉⢹⡿⠽⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⠀⢸⣿⠀⠸⠇⠀⡇⠀⠸⠀⢸⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⠸⠿⡇⠀⢸⠀⠀⣿⡇⠀⢸⡿⠏⠀⢻⣿⣿⣿

⡀⠀⠀⢀⣀⣀⣀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣏⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⠀⢠⣤⣴⡇⠀⢰⠀⢹⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⢠⣴⡇⠀⢸⠛⠛⣿⡇⠀⢸⡇⠀⠀⢸⣿⣿⣿

⣿⣷⡀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⢿⣿⠟⠛⢻⡿⠿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣷⣿⢻⣿⠀⢸⣿⣿⡇⠀⢸⠀⠸⣧⡀⠘⠀⣠⡏⠀⢀⡇⠀⠈⠉⣧⡀⠘⠀⣠⣿⡇⠀⢸⡇⠀⠀⣾⣿⣿⣿

⣿⣿⣿⣽⣿⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⣠⡾⠀⣀⣿⣿⣿⣿⣿⣿⣿⣷⢈⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣛⣛⣏⣩⣿⣿⣿⣿⣿⣿⣛⣛⣿⣟⡛⣉⣻⣿⣿⣋⣈⣹⣿⡋⢀⣤⣤⣿⣿⣿⣿

⣿⣿⣿⣿⡏⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠟⢀⣴⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⡏⠉⠉⡟⠉⠉⢹⡏⠉⠉⢹⣿⠉⠹⡏⠉⣿⠋⠉⠉⢻⡟⠉⢀⠈⠹⡏⠉⠉⠉⡏⠉⢉⠉⠹⡟⠉⣀⠉⢹⣿⣿

⠿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⢽⣿⣿⣿⣿⣿⣿⠿⠿⠉⠀⢹⡇⠀⠀⠇⠀⠀⢸⠃⠀⡀⠘⣿⠀⠀⠃⠀⣿⠀⢰⠀⢸⡇⠀⢸⣤⣤⡇⠀⠘⠻⡇⠀⠸⠀⢀⣇⠀⠙⠶⣾⡿⣿

⠀⠈⠻⠟⠀⠀⢠⣾⠇⠀⠀⠀⠈⠉⠙⠻⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠝⠉⢸⣿⣧⣤⣀⣀⣼⡇⠀⡇⠀⡀⠀⢸⠀⠐⠃⠀⣿⠀⢀⠀⠀⡟⠀⠘⠀⠘⡇⠀⢸⠀⠀⡇⠀⢰⣶⡇⠀⢰⠀⠈⡟⠓⢦⠀⠘⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⠿⠁⠀⠀⠀⠀⠀⠀⠈⢻⣿⠉⠙⠛⢻⣇⣀⣇⣀⣇⣀⣘⣀⣰⣆⣀⣹⣀⣸⣄⣀⣇⣀⣰⣀⣀⣧⡀⠈⣀⣀⣇⣀⣈⣉⣇⣀⣸⣀⣀⣧⣀⠈⢀⣰⡿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢀⡀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⢻⡏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠉⠉⠉⠛⠛⠛⠉⠉⠉⢉⡉⠉⠻⠛⣻⣿⠁⣿

[24A⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⣿⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢻⣿⡏⠀⠘⢿⣿⡟⢠⡈⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⠀⠀⠀⠀⠸⢿⣿⣇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢠⣄⠙⠁⠀⢠⡀⠙⠃⣾⣿⣶⡏⢿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⣿⣿⣿⣿⣿⣿⠿⠁⣼⣿⣧⠀⠀⠀⠃⠀⢀⠻⠟⠈⡇⢀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠰⠘⠉⠉⢿⣿⣿⠿⠁⠀⠀⠙⢻⠃⠀⠀⠀⠋⢀⢻⣦⡀⠀⣧⢼⣿⣿⣿⣷⣶⣦⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠋⠉⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠈⠙⠒⠀⠀⠀⠀⠀⠙⠁⢀⣷⣼⣿⣿⣿⣿⣿⣽⣷⡆⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

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

⠀⠀⢰⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⣼⣿⣷⣶⣶⣶⣤⡤⡤⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⣴⣿⣿⣿⣿⠿⠿⢿⡇⠀⠀⡄⠀⠀⢀⣤⣤⣴⣶⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠦⣄⠀⠀⠀⠀⠀⢿⣿⣿⣿⢿⣿⣿⣿⣿⠉⠉⠛⠟⠛⠂⢹⣿⣿⣯⣤⣶⣶⣶⣶⠶⢄⠀⠀⠀⠀⢸⣿⣿⣿

⠘⣿⣿⣏⡀⠀⠀⣠⣶⣄⠀⠀⢹⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⠀⠀⠀⠀⠀⠀⠀⠮⢙⣮⣷⡄⢀⣀⣤⣼⣿⣿⣿⣻⣿⣿⡏⠀⠀⠀⠐⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⡨⢄⠀⠀⢸⣿⣿⣿

⠀⠹⠿⣿⣿⣶⣿⣟⣿⣿⣿⡖⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣧⠀⠀⠀⣄⠀⠀⡀⠘⠛⠛⣡⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠁⠀⠀⡄⢀⣾⣿⣿⣿⣿⡟⣻⣿⡇⠈⠁⠣⠌⣍⡁⠈⣁⣠⣼⣿⣿⣿

⠀⠀⠀⠈⠉⠹⣿⣏⡉⢙⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣀⡈⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⣀⣀⣀⠀⣾⣿⣿⣿⣿⣿⣯⣹⣝⣥⣄⡀⣀⣀⣀⣤⣤⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⣤⡀⢀⡀⢀⣿⠉⠉⠉⠻⡏⠉⠉⠉⢻⡿⠋⢉⠉⢻⣿⠉⠉⡏⠉⠉⠉⡿⠋⢉⠉⠻⡏⠉⠉⠉⢹⣷⡊⢹⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡇⢸⣿⠀⠸⠇⠀⡇⠀⠸⠀⢸⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⠸⠿⡇⠀⢸⠀⠀⣿⡇⠀⢸⣿⠭⠇⠀⣿⣿⣿

⣦⡀⠀⢀⣤⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⠀⢠⣤⣴⡇⠀⢰⠀⢹⡇⠀⢸⠀⠀⣿⠀⠀⡇⠀⢠⣴⡇⠀⢸⠛⠛⣿⡇⠀⢸⡇⠀⠀⢀⢹⣟⣿

⣿⣿⣄⢼⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⡿⠿⠿⡿⢿⣿⠿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣷⣾⢻⣿⠀⢸⣿⣽⡇⠀⢸⠀⠸⣧⡀⠘⠀⣠⡏⠀⢀⡇⠀⠈⠉⣧⡀⠘⠀⣠⣿⡇⠀⢸⡇⠀⠀⠨⣾⣿⣿

⣿⣿⣿⣾⣿⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡟⠀⢀⣠⠀⠀⢀⣴⣿⣿⣯⣾⣿⣿⠀⣩⣹⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣉⣻⣿⣿⣿⣿⣿⣿⣻⣿⣟⡛⢉⣻⣿⣿⣋⣨⣽⣿⣟⢀⣠⣤⣄⣻⣿⣿

⣿⣿⣿⣿⣿⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡿⠁⣠⣼⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⡏⠉⠉⡟⠉⠉⢹⡏⠉⠉⢹⣿⠉⠹⡏⠉⣿⠋⠉⠉⢻⡟⠉⢀⠈⠹⡏⠉⠉⠉⡏⠉⢉⠉⠹⡟⠉⣀⠉⢹⣿⣿

⠛⠻⣿⣿⡟⠀⠀⢀⣀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⢿⣿⣿⠿⠉⠀⢹⡇⠀⠀⠇⠀⠀⢸⠃⠀⡀⠘⣿⠀⠀⠃⠀⣿⠀⢰⠀⢸⡇⠀⢸⣤⣤⡇⠀⠘⠻⡇⠀⠸⠀⢀⣇⠀⠙⠶⣾⡋⢸

⠀⠀⠈⠛⠀⠀⠀⠿⠛⠀⠀⠀⠀⠈⠀⠙⠻⣿⣿⣿⣿⣿⣿⠿⠿⠟⠋⠉⠀⠘⣿⣿⣤⣤⣤⣼⡇⠀⡇⠀⡀⠀⢸⠀⠐⠃⠀⣿⠀⢀⠀⠀⡟⠀⠘⠀⠘⡇⠀⢸⠀⠀⡇⠀⢰⣶⡇⠀⢰⠀⠈⡟⠓⢦⠀⠘⣧⢸

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⣀⡀⠀⠙⢻⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡛⠛⢻⣇⣀⣇⣀⣇⣀⣘⣀⣰⣆⣀⣹⣀⣸⣄⣀⣇⣀⣰⣀⣀⣧⡀⠈⣀⣀⣇⣀⣈⣉⣇⣀⣸⣀⣀⣧⣀⠈⢀⣰⡟⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⣄⡀⠉⠉⠋⠉⠉⠉⠙⣿⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠉⠉⠉⠙⠛⠉⠉⠉⠉⠛⣿⠏⠙⠛⠛⠉⠀⣿

                ䷩ 𝚕𝚒𝚗𝚎 1368

(ℹ) Images, hyperlinks and comments at http://techrights.org/2022/01/10/twitter-streisand/#comments

Gemini version at gemini://gemini.techrights.org/2022/01/10/twitter-streisand/

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✐ Twitter_is_Silencing_Victims_of_Sexual_Abuse_to_Protect_Violent_Men_Who

Assault_Women_(Also:_GitHub/Microsoft_Employees_Too_Have_Complained_About_the

Perpetrator)⠀✐

Posted in Deception, Microsoft at 5:34 am by Dr. Roy Schestowitz

Last month: FSFE_Misuses_FSFE_Budget_to_Issue_Frivolous_Takedown_Requests

Against_Critics

This is how Twitter handles abuse against women (silencing_them on behalf of

the criminals):

🄸🄼🄰🄶🄴🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽⦇Twitter_Streisand⦈_

Summary: Microsoft’s Balabhadra (Alex) Graveley, Chief Architect of GitHub

Copilot, is trying to ‘delete the Internet’ and basically silence people whom

he abused over the years prior to his_arrest; Twitter helps him do that…

Here is what Twitter basically hides from people, as it concerns the victim of

a violent_man (arrested for assaulting women) with aggressive lawyers:

 @tsunamino [former GitHub], Director of engineering, is also ignoring

 this issue.

 Alex is also an @ycombinator alumni.

 Alex’s friend @Aaron_Muszalski, founder of @ABurningWish, blocked me

 on FB after I showed him these messages.

 Alex always had ways to rationalize his behavior. He tried to leave

 me without a car at concert after deciding it was boring, then later

 started yelling at me about how I was trying to make him fall off the

 wagon in front 4 people I know.

 Alex would repeatedly insult and degrade me throughout the

 relationship, then tell me he never said it and if I persisted that

 he said it, but I was only pretending to have hurt feelings to hurt

 him.

 Alex’s former managers the @signalapp based @mobilecoin

 #cryptocurrency agree that this behavior is abusive and is not out of

 character.

 A group anonymous @github employees have reached out to me and told

 me that several coworkers have complained about his abusive behavior

 at work even before my tweets. Nothing is being done.

 #HostileWorkplace #github #ice

 Yes, my dad really did kill himself for those that are wondering.

 Alex kept pressing me for details after I told Alex my dad had passed

 away on our 2nd date, including the exact method he used.

 Alex is currently trying to claim that we were never that serious &

 he’s engaged and moved on. We did not date long but it was very

 intense. Alex constantly pressured me to move in together and to

 marry him which I wanted to wait. I suppose he does that with all his

 relationships

 After pressuring me to choose a house for him to buy that I would

 live in, (something that made me uncomfortable) he started getting

 angry he didn’t have a space in my home and starting leaving popcorn

 and other food for his specific diet.

 Add @boop to the list of fake allies that support #sexualviolence

 with silence and participation in the #boyclub.

 This came as a result of calling out a man that continues to support

 the man that assaulted me.

Microsoft is also attempting_to_cover_the_whole_thing_up. Chronic abuse has

long been tolerated (more than one victim) and GitHub's_CEO_very_well_knew_what

was_going_on. █

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

⣿⡟⠛⠉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠿⣿⣿⣿⣿⣏⠙⠿⠿⠻⠿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣃⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣼⣤⣦⣴⣤⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉

⣿⡯⠨⠨⣿⣿⡇⠒⠍⠭⠁⠩⠉⡉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡟⠫⡛⣿⣿⡿⠛⡿⠟⠿⢻⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣇⡊⣃⣿⣿⣧⣤⣤⣤⣯⣼⣧⣀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                ䷩ 𝚕𝚒𝚗𝚎 1487

(ℹ) Images, hyperlinks and comments at http://techrights.org/2022/01/10/twitter-victim-gagging/#comments

Gemini version at gemini://gemini.techrights.org/2022/01/10/twitter-victim-gagging/

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✐ How_Twitter_Helps_Perpetrators_of_Sexual_Violence⠀✐

Posted in Deception, Microsoft at 8:24 am by Dr. Roy Schestowitz

Video_download_link | md5sum 6eec33742956939bc4b7cfac422cec5f

Twitter Backs the Perpetrators Again

Creative Commons Attribution-No Derivative Works 4.0

http://techrights.org/videos/twitter-victim-gagging.webm

Summary: A discussion of the difficult matter at hand and the sorts of people

whom the media defends (or whose victims it suppresses); contrary to what

people were led to believe, Twitter is no ally of the “Me Too” movement

AS WE HAVE just_noted, instead of Twitter taking action against the aggressors

(who removed_themselves_from_Twitter) it is taking action against those who

report the aggressors.

Recently we’ve been writing a great deal about Twitter censorship being totally

out of control, e.g. banning of people who combat_COVID-19_misinformation

instead of powerful corporations and people who spread COVID-19 misinformation

and sometimes COVID-19 disinformation (even worse).

“If the media is ultimately controlled by powerful (deep-pocketed) interests

and isn’t motivated by the public interest, we shall continue to be governed by

sociopaths and sexual monsters.”Isn’t it fascinating that a so-called ‘social’

so-called ‘media’ company takes money from Bill Gates while censoring_on_his

behalf? He not only pays Twitter. In the words of an article from Tim Schwab:

“Recipients included news operations like the BBC, NBC, Al Jazeera, ProPublica,

National Journal, The Guardian, Univision, Medium, the Financial Times, The

Atlantic, the Texas Tribune, Gannett, Washington Monthly, Le Monde, and the

Center for Investigative Reporting; charitable organizations affiliated with

news outlets, like BBC Media Action and the New York Times’ Neediest Cases

Fund; media companies such as Participant, whose documentary Waiting for

“Superman” supports Gates’s agenda on charter schools; journalistic

organizations such as the Pulitzer Center on Crisis Reporting, the National

Press Foundation, and the International Center for Journalists; and a variety

of other groups creating news content or working on journalism, such as the Leo

Burnett Company, an ad agency that Gates commissioned to create a “news site”

to promote the success of aid groups. In some cases, recipients say they

distributed part of the funding as subgrants to other journalistic

organizations—which makes it difficult to see the full picture of Gates’s

funding into the fourth estate.”

Either way, the bottom line is, both the mainstream media and social control

media eventually suppressed the victim. If the media is ultimately controlled

by powerful (deep-pocketed) interests and isn’t motivated by the public

interest, we shall continue to be governed by sociopaths and sexual_monsters. █

                ䷩ 𝚕𝚒𝚗𝚎 1559

(ℹ) Images, hyperlinks and comments at http://techrights.org/2022/01/10/video-production-shell-awk/#comments

Gemini version at gemini://gemini.techrights.org/2022/01/10/video-production-shell-awk/

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✐ Reducing_Overhead_Associated_With_Video_Production⠀✐

Posted in Free/Libre_Software, Videos at 11:54 am by Dr. Roy Schestowitz

Video_download_link | md5sum c5bbd9d934b5e6e4b990555d0eec6ed1

Automating Video Editing, Uploading, Listing

Creative Commons Attribution-No Derivative Works 4.0

http://techrights.org/videos/video-automation-workflow.webm

Summary: The Techrights Git_server (self-hosted) has some tidier versions of

the programs we use to produce videos quickly and frequently

THIS morning I spent about half an hour properly commenting/annotating the code

while tidying up a little bit along the way. It’s the code associated not with

uploading or connecting to our servers (security-sensitive) but all the

listing, processing etc.

The code is in the Public Domain (PD), so it’s available for reuse under very

liberal — or shall we say “permissive” — conditions, or almost no conditions at

all. That’s motivated by an urgent_need to spread better practices and become

more robust to oppressive censorship by Internet giants. In fact, we need to

get more sites to self-host their videos and quit outsourcing to proprietary

software/third-party hosts such as Gulag (Google/YouTube). █

                ䷩ 𝚕𝚒𝚗𝚎 1605

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

Gemini_version_available_♊︎

✐ Links_10/1/2022:_DragonFly_BSD_6.2_and_Mint/Firefox_Collaboration⠀✐

Posted in News_Roundup at 1:48 pm by Dr. Roy Schestowitz

🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈

§ Contents⠀➾

* GNU/Linux

      o Distributions

      o Devices/Embedded

* Free_Software/Open_Source

* Leftovers

* § GNU/Linux⠀➾

      o ⚓ 9to5Linux_Weekly_Roundup:_January_9th,_2022⠀⇛

             This week has been really great, a strong start for the

             Linux and Open Source ecosystem in 2022. We finally got

             the Linux Mint 20.3 release, which was promised to us on

             Christmas 2021 but it didn’t happen, we got a new Ubuntu

             Touch OTA update for our Linux phones, and we got a brand

             new Linux kernel to play with.

             On top of that, there were new releases of the Ubuntu

             Deepin Remix, KaOS Linux, Clonezilla Live, and GeckoLinux

             distributions, as well as new updates for fans of the KDE

             Plasma desktop environment. Also, System76 teased us with

             a new Linux laptop and I show newcomers how to upgrade

             their Linux Mint installations.

      o § Server⠀➾

            # ⚓ 10_Best_Udemy_Linux_Learning_Courses_in_2022 [Ed: Seems a

              bit spammy, promotional]⠀⇛

                   Linux, the family of open-source computers based on

                   the Linux kernel is the most popular operating

                   system in the world. The kernel is at the core of

                   billions of computers ranging from heavy-duty

                   servers, satellites, cars, and mining computers to

                   smartphones, washing machines, palmtops, and IoT

                   devices.

      o § Audiocasts/Shows⠀➾

            # ⚓ Josh_Bressers:_Episode_305_–_Norton,_Ethereum,_NFT,_and

              Apes⠀⇛

                   Josh and Kurt talk about Norton creating an

                   Ethereum mining pool. This is almost certainly a

                   bad idea, we explain why. We then discuss the

                   reality of NFTs and the case of stolen apes. NFTs

                   can be very confusing. The whole world of

                   cryptocurrency is very confusing for normal people.

                   None of this is new, there have always been con

                   artists, there will always be con artists.

      o § Kernel Space⠀➾

            # ⚓ Linux_Kernel_5.16_Released!_What’s_New?⠀⇛

                   Linux Kernel 5.16 is finally here, and while it

                   doesn’t bring lots of features or improvements,

                   there are a handful of features that might matter

                   to Linux gamers and desktop users. Here’s

                   everything new in the Linux Kernel 5.16.

                   One of the release highlights is the improvements

                   in the performance of Intel and AMD CPUs and GPUs.

                   Apart from that, ARM platforms like the Raspberry

                   Pi have also been improved. The AMD, Intel CPU, and

                   GPU claims were tested by our good friends at

                   Phoronix, and the results showed great

                   improvements.

            # ⚓ Linux_5.16_Release_–_Main_Changes,_Arm,_RISC-V_and_MIPS

              architectures⠀⇛

                   Not a lot here since -rc8, which is not unexpected.

                   We had that extra week due to the holidays, and

                   it’s not like we had lots of last-minute things

                   that needed to be sorted out.

                   So this mainly contains some driver fixes (mainly

                   networking and rdma), a cgroup credential use fix,

                   a few core networking fixes, a couple of last-

                   minute reverts, and some other random noise. The

                   appended shortlog is so small that you might as

                   well scroll through it.

                   This obviously means that the merge window for 5.17

                   opens tomorrow, and I’m happy to say I already have

                   several pending early pull requests. I wish I had

                   even more, because this merge window is going to be

                   somewhat painful due to unfortunate travel for

                   family reasons. So I’ll be doing most of it on the

                   road on a laptop – something I generally try to

                   avoid.

      o § Applications⠀➾

            # ⚓ HandBrake_1.5_Open-Source_Video_Transcoder_Released_with

              Better_Flatpak_Support⠀⇛

                   Coming six months after HandBrake 1.4, the

                   HandBrake 1.5 update is here to further improve

                   support for the Flatpak universal binary format by

                   updating the dependencies to the Freedesktop

                   Platform 21.08 and GNOME 41 stack, updating the

                   Intel QSV Flatpak plugin to use Intel MediaSDK

                   21.3.5, and fixing several potential race

                   conditions in the Flatpak build process.

                   This means that the next time you’re updating or

                   installing HandBrake as a Flatpak on your GNU/Linux

                   distribution, you’ll notice more stability and

                   better compatibility with recent GNU/Linux

                   technologies.

            # ⚓ QPrompt_is_a_Free_and_Open_Source_Teleprompter_for_Video

              Creators⠀⇛

                   These days, all sorts of people are creating video

                   contents. From the professional YouTubers to school

                   teachers, creating video content has become part of

                   various job profiles.

                   From screen recorders to video editors, there are

                   various tools that help create good videos.

                   Teleprompter is also one such tool.

                   A teleprompter runs visual cues or even complete

                   text so that a speaker can take hints while

                   speaking. You might have seen news readers using

                   the teleprompter.

                   There are dedicated teleprompter software that can

                   be run on computer or mobile device.

            # ⚓ Best_Free_and_Open_Source_Alternatives_to_Autodesk_Flame⠀⇛

                   Autodesk, Inc. is an American multinational

                   software company that makes software products and

                   services for the architecture, engineering,

                   construction, product design, manufacturing, media,

                   education, and entertainment industries. It bills

                   itself as a “… leader in 3D design, engineering and

                   entertainment software”.

                   The company was founded in 1982 by John Walker, who

                   was a joint developer of the first versions of

                   AutoCAD, the company’s best known software

                   application. Autodesk is listed on the Nasdaq stock

                   exchange, it has over 11,000 employees, and is

                   headquartered in the San Francisco Bay Area.

      o § Instructionals/Technical⠀➾

            # ⚓ How_to_Make_Spotify’s_Desktop_App_Look_Great_with_Custom

              Themes [Ed: Joey Sneddon promoting proprietary software, DRM,

              and surveillance]⠀⇛

                   Do you think the official Spotify for Linux client

                   would look better with a major restyle? So did the

                   devs behind customisation tool Spicetify, which can

                   do just that.

                   I last showcased a “hacky” way to use custom

                   Spotify skins back in 2016 using the Spotio

                   project. That effort is long dormant but several

                   similarly-minded methods have emerged in the years

                   since, enabled by comprehensive CLI tool Spicetify

                   (via Diolinux).

                   Now, I’ve put “hacky” in quotes there as while

                   these efforts aren’t “one click” solutions that

                   most users will feel comfortable applying, they’re

                   not exactly difficult or exotic to achieve, either.

                   It’s also not exclusive to Linux; you can use the

                   exact same themes on Windows and macOS systems too.

            # ⚓ Fork,_exec,_wait_and_exit_system_call_explained_in_Linux_–

              VITUX⠀⇛

                   The sequence of instructions and data that can be

                   executed a single time, multiple time,s or

                   concurrently are called programs. And the process

                   is the execution of such programs. So those

                   processes can run many programs. In the same

                   process, the operating system can load different

                   programs. Reused process states like current

                   directories, privileges, file handles, etc are

                   inherited by the new programs. Such things are done

                   at the same level with the syscalls like fork(),

                   exec(), wait() and exit().

                   In this article, we are going to discuss the Linux

                   syscalls fork(), exec(), wait() and exit() in

                   detail with examples and the use cases.

            # ⚓ How_to_Install_Apache_Tomcat_10_with_Nginx_on_Rocky_Linux

              8⠀⇛

                   Tomcat is an open-source web server for Java-based

                   applications. It is used for deploying Java Servlet

                   and JSP applications. Java servlets are small

                   programs defining how a server handles requests and

                   responses. Tomcat acts as an open-source

                   implementation of the Java Servlet, JavaServer

                   Pages, Java Expression Language, and Java WebSocket

                   technologies.

                   There are multiple versions of Tomcat available. We

                   will discuss the installation of Tomcat 10 for our

                   tutorial. If you want to install Tomcat 9, the

                   instructions will be the same. If there are any

                   changes, they will be specified in the tutorial.

                   For our tutorial, we will install Tomcat 10 along

                   with the Nginx server to act as a reverse proxy and

                   protect it using SSL. There is a Tomcat 10.1.x

                   version which is the latest alpha version of

                   Tomcat, but we will not be installing that.

            # ⚓ How_to_Create_XFS_File_System_in_Linux_(Step_by_Step)⠀⇛

                   XFS is a 64-bit journaling file system and used

                   where high performance is required. XFS file system

                   is available in most of the linux distribution like

                   Ubuntu, Debian and RHEL. In RHEL based

                   distributions XFS is the default file system.

                   In guide, we will learn how to create XFS file

                   system from the scratch step by step and then also

                   learn how to mount and use it. For managing file

                   system in Linux, we need a user with sudo

                   privileges. For the demonstration purpose, I have

                   attached 10 GB (/dev/sdb) disk to my linux system.

                   I would be creating XFS file system on it.

                   Let’s deep dive into the steps,

            # ⚓ How_To_Install_Linux_Kernel_5.15_on_Debian_11_–_idroot⠀⇛

                   In this tutorial, we will show you how to install

                   Linux Kernel 5.15 on Debian 11. For those of you

                   who didn’t know, Linux Kernel 5.15 has been

                   released on Halloween, on October 31st, 2021 with

                   lots of new interesting new features. The Linux

                   5.15 kernel release further improves the support

                   for AMD CPUs and GPUs, Intel’s 12th Gen CPUs, and

                   brings new features like NTFS3, KSMBD (CIFS/SMB3),

                   and further Apple M1 support, amongst many other

                   changes and additions.

                   This article assumes you have at least basic

                   knowledge of Linux, know how to use the shell, and

                   most importantly, you host your site on your own

                   VPS. The installation is quite simple and assumes

                   you are running in the root account, if not you may

                   need to add ‘sudo‘ to the commands to get root

                   privileges. I will show you through the step-by-

                   step installation of the GoAccess web log analyzer

                   on a Debian 11 (Bullseye).

            # ⚓ How_to_Install_Git_on_CentOS_9_Stream_–_LinuxCapable⠀⇛

                   Git is a mature, actively maintained open source

                   project initially developed in 2005 by Linus

                   Torvalds, the famous Linux operating system kernel

                   creator. Git is designed for developers that need a

                   pretty straightforward version control system. Most

                   software is collaborative efforts and sometimes can

                   have hundreds of people with commits working on

                   software development projects. It is essential to

                   track these commits customarily done in branches in

                   most projects before being merged into the master

                   for release. It is easy to review and track down

                   any incorrect commits and revert, leading to a much

                   easier development if anything goes wrong.

                   In the following tutorial, you will learn how to

                   install Git on CentOS 9 Stream Server or Desktop in

                   various methods.

            # ⚓ How_to_Install_Discord_on_Ubuntu_22.04_LTS_–_LinuxCapable⠀⇛

                   Discord is a free voice, video, and text chat app

                   used by tens of millions of people ages 13+ to talk

                   and hang out with their communities and friends.

                   Users communicate with voice calls, video calls,

                   text messaging, media, and files in private chats

                   or as part of communities called “servers.” Discord

                   is available on Windows, macOS, and Linux Distros.

                   In the following tutorial, you will learn how to

                   install Discord client on Ubuntu 22.04 LTS Jammy

                   Jellyfish using three different methods.

            # ⚓ How_to_Install_Deepin_Desktop_Environment_(DDE)_on_Fedora

              35_–_LinuxCapable⠀⇛

                   The Deepin Desktop Environment (DDE) is known to be

                   one of the most excellent aesthetic-looking desktop

                   environments created by the developers of Deepin

                   Linux. It is often regarded too as the most

                   beautiful desktop on Linux. For users of Fedora,

                   this can be easily installed and be an optional

                   choice for those that like to hop between desktops.

                   In the following tutorial, you will learn how to

                   install Deepin Desktop Environment (DDE) on Fedora

                   35 Workstation.

            # ⚓ How_to_Install_and_Configure_Memcached_on_Rocky_Linux/Alma

              Linux_8_–_Citizix⠀⇛

                   In this guide we will learn how to install and

                   configure Memcached in RHEL 8 based systems like

                   Rocky Linux and Alma Linux 8.

                   Memcached is an open source, distributed memory

                   object caching system. The system caches data and

                   objects in memory to minimize the frequency with

                   which an external database or API must be accessed.

                   This alleviates database load and speeds up dynamic

                   Web applications. It offers a mature, scalable,

                   open-source solution for delivering sub-millisecond

                   response times making it useful as a cache or

                   session store. Memcached is a popular choice for

                   powering real-time applications in Web, Mobile

                   Apps, Gaming, Ad-Tech, and E-Commerce.

                   Unlike databases that store data on disk or SSDs,

                   Memcached keeps its data in memory. By eliminating

                   the need to access disks, in-memory key-value

                   stores such as Memcached avoid seek time delays and

                   can access data in microseconds. Memcached is also

                   distributed, meaning that it is easy to scale out

                   by adding new nodes. And since Memcached is

                   multithreaded, you can easily scale up compute

                   capacity. As a result of its speed and scalability

                   as well as its simple design, efficient memory

                   management, and API support for most popular

                   languages Memcached is a popular choice for high-

                   performance, large-scale caching use cases.

            # ⚓ How_to_Install_and_Configure_Elasticsearch_on_Debian_11⠀⇛

                   In this guide, we will learn how to install and

                   configure Elasticsearch on Debian 11.

                   Elasticsearch is a distributed search and analytics

                   engine built on Apache Lucene. It provides a

                   distributed, multitenant-capable full-text search

                   engine with an HTTP web interface and schema-free

                   JSON documents. Elasticsearch has quickly become

                   the most popular search engine and is commonly used

                   for log analytics, full-text search, security

                   intelligence, business analytics, and operational

                   intelligence use cases.

            # ⚓ How_To_Install_Linux_Kernel_5.16_In_Ubuntu_/_Linux_Mint_|

              Tips_On_UNIX⠀⇛

                   Linus Torvalds announced the Linux Kernel 5.16

                   after a few weeks of development and is available

                   for general usage with driver fixes, a few core

                   networking fixes, and some random issues.

            # ⚓ How_to_Set_Up_a_Reverse_Proxy_With_Apache_–_CloudSavvy_IT⠀⇛

                   Apache is a versatile web server which offers a

                   full complement of supporting features, some of

                   them via extensions. In this article, we’ll use the

                   mod_proxy module to configure Apache in a reverse

                   proxy role.

                   While Apache might not be your first choice as a

                   reverse proxy, with more modern alternatives like

                   NGINX tending to steal attention, mod_proxy is

                   useful for servers which are already running Apache

                   and now need to route traffic to another service.

                   You can set up an Apache virtual host to pass on

                   requests for a given domain to a separate web

                   server.

                   We’re using Apache 2.4 with a Debian-based system

                   for the purposes of this guide. We’ll also assume

                   the servers you want to proxy traffic to are

                   already network-accessible from your Apache host.

                   This article focuses on enabling proxying based on

                   a unique virtual host but mod_proxy is also

                   configurable globally, as part of your Apache

                   server config, or at the directory-level via

                   .htaccess files.

            # ⚓ How_to_Install_vsftpd_FTP_Server_and_Secure_it_with_TLS_on

              Debian_11⠀⇛

                   File Transfer Protocol or FTP is a very old and one

                   of the most well-known network protocols. It is not

                   secure compared to SFTP or SCP these days but is

                   still the first choice of many users for

                   transferring files between a server and a client.

                   FTP is known as insecure because it transfers data

                   along with user credentials without any type of

                   encryption.

                   We have a wild range of open-source FTP servers

                   available nowadays like FTPD, VSFTPD, PROFTPD, and

                   pureftpd. Among all of them, VSFTPD is a very

                   secure, fast, and most wildly used protocol for

                   transferring files between two systems.

                   VSFTPD is also known as “Very Secure File Transfer

                   Protocol Daemon” with support of SSL, IPv6,

                   explicit and implicit FTPS.

                   In this guide, We will show you How to Install

                   vsftpd FTP Server on Debian 11.

            # ⚓ How_to_Install_and_Use_Cockpit_in_Rocky_Linux⠀⇛

                   Server management does not have to feel like rocket

                   science thanks to Cockpit’s contributive

                   footprints. This server management software makes

                   it flexibly easy for anyone to manage their Linux

                   servers either locally or remotely.

                   Through a web browser interface, Cockpit yields

                   real-time information regarding your server machine

                   status. Such system information includes but is not

                   limited to system running processes, networking,

                   system storage, applications, file system

                   statistics, and CPU load.

                   Cockpit also gives you superuser control like

                   remote shutdown or remote reboot of your server

                   machine. Moreover, Cockpit only gains control of

                   your server resources once you are signed in to its

                   web interface and begin interacting with its web-

                   based control panel.

            # ⚓ How_to_manage_Bash_history⠀⇛

                   BASH (Bourne Again SHell) is the default shell in

                   practically all Linux-based operating systems. All

                   the commands we write in the terminal are

                   interpreted by the shell, and become part of its

                   history. In this tutorial we see where the shell

                   history is saved, and how to manage it using the

                   “history” built-in command and some environment

                   variables.

            # ⚓ How_to_install_and_configure_Squid_Proxy_on_Debian_11⠀⇛

                   In this guide we will learn how to install and

                   configure Squid Proxy server on a Debian 11 server.

                   Squid is a caching proxy for the Web supporting

                   HTTP, HTTPS, FTP, and more. It reduces bandwidth

                   and improves response times by caching and reusing

                   frequently-requested web pages. Squid has extensive

                   access controls and makes a great server

                   accelerator. It runs on most available operating

                   systems.

                   Squids reverse proxy is a service that sits between

                   the Internet and the webserver (usually within a

                   private network) that redirects inbound client

                   requests to a server where data is stored for

                   easier retrieval. If the caching server (proxy)

                   does not have the cached data, it then forwards the

                   request on to the web server where the data is

                   actually stored. This type of caching allows for

                   the collection of data and reproducing the original

                   data values stored in a different location to

                   provide for easier access.

                   A reverse proxy typically provides an additional

                   layer of control to smooth the flow of inbound

                   network traffic between your clients and the web

                   server.

            # ⚓ How_to_update_Node_JS_on_Ubuntu_18.04⠀⇛

                   In this short tutorial, you will discover three

                   ways to update NodeJs on Ubuntu 18.04 and 20.04.

            # ⚓ How_to_update_a_disconnected_Red_Hat_Satellite_Server⠀⇛

                   Red Hat Satellite now features the ability to

                   export content to a disconnected Satellite server

                   with full and incremental updates.

            # ⚓ Install_Deepin_Desktop_Environment_(UbuntuDDE)_on_POP_OS⠀⇛

                   In this tutorial, we learn the steps to install

                   popular Deepin Dekstop- DEE on POP_OS 20.04 LTS or

                   21.04 Linux using the command terminal.

                   Deepin is one of the most beautiful Linux distro

                   based on the Debian operating system. However,

                   there are many people who refrain themselves from

                   using either because of its origin or slow

                   repository. Hence, one of the best ways to

                   experience its beauty is by installing the Deepin

                   Desktop GUI on our existing POP_OS operating

                   systems.

                   Moreover, installing a new operating system is also

                   cumbersome if you have already have set up

                   applications you required on it. In such as

                   scenario, installing an extra GUI apart from the

                   default one will be a good idea.

            # ⚓ Install_Gitlab_on_Ubuntu_20.04_LTS_Focal_fossa_Linux_–

              Linux_Shout⠀⇛

                   Tutorial to learn commands for installing and

                   uninstalling Deepin DDE desktop on POP OS using the

                   PPA with the help of UbuntuDDE repository

            # ⚓ Install_Spotify_On_Ubuntu_/_Fedora_&_Manjaro_|_Tips_On

              UNIX⠀⇛

                   Spotify is one of the world’s largest music

                   streaming service providers.

                   This tutorial will be helpful for beginners to

                   install Spotify in Ubuntu 20.04 LTS, Ubuntu 20.10,

                   Fedora 35, and Manjaro Linux.

            # ⚓ How_to_add_or_implement_counter_in_bash_scripting_–_TREND

              OCEANS⠀⇛

                   The counter is very common in programming to trace

                   the number of cycles that have been executed by

                   loop functions.

                   In this article, you will see how to add or

                   implement a counter in bash scripting.

            # ⚓ How_to_install_Docker_CE_on_Rocky_Linux_8⠀⇛

                   Hello, friends. In this post, you will learn how to

                   install Docker CE on Rocky Linux 8. The process is

                   simple, and we will be able to install the latest

                   stable version of the tool.

                   Docker is a technology that allows us to deploy

                   applications and operating systems in containers

                   that are distributed in images.

                   Many blogs have commented on Docker, including

                   ours. That is why this technology is so popular and

                   so widely used worldwide.

                   As we know, CentOS 8 came to an end on December 31

                   of last year, so we have to migrate to alternatives

                   such as Rocky Linux or Alma Linux.

                   So let’s go for it.

            # ⚓ How_to_use_Terraform_AWS_EC2_user_data_–_aws_instance⠀⇛

                   In this guide we will learn how to provision an EC2

                   instance with user_data when launching the instance

                   using terraform.

                   AWS user_data is the set of commands/data you can

                   provide to an instance at launch time. For example

                   if you are launching an ec2 instance and want to

                   have docker installed on the newly launched ec2,

                   than you can provide set of bash commands in the

                   user_data field of aws ec2 config page.

                   We can do this level of customization during the

                   image build time with packer as well.

            # ⚓ 15_apt_Command_Examples_in_Ubuntu_/_Debian_Linux⠀⇛

                   Apt is a command line package management utility

                   for Ubuntu and Debian Linux. Apt is used to

                   install, remove, update and upgrade Debian packages

                   from command line in Ubuntu and Debian systems. Apt

                   (Advanced package tool) overcomes the issues and

                   bugs that were noticed in apt-get command. To use

                   apt command user must have sudo privileges.

                   In this post, we will cover 15 apt command examples

                   in Ubuntu / Debian Linux. Let’s dive into the

                   examples.

            # ⚓ How_to_upgrade_Linux_Kernel_to_5.16_Release⠀⇛

                   Linux Kernel 5.16: What’s New?

                   Linux latest kernel was finally introduced with an

                   interesting update for a gamer, raspberry pie, and

                   desktop users.

                   With the latest release, many new generation Intel

                   and AMD hardware support were added along with the

                   CPU and GPU devices.

            # ⚓ How_to_Install_Linux_Kernel_5.16_on_Ubuntu_or_Linux_Mint⠀⇛

                   Linux kernel 5.16 is now available so here’s a

                   tutorial on how to install it on your Ubuntu or

                   Linux Mint distributions, or a similar derivative.

                   Linux kernel 5.16 is a great release of Linux

                   gamers and AMD users. It brings the long-

                   anticipated FUTEX2 implementation from Collabora

                   for a faster gaming experience when playing both

                   native Linux games and Windows games via Wine.

            # ⚓ Date_command_usage_in_Linux⠀⇛

                   At first, the date command may seem like a simple

                   utility to you, but once you try to execute the

                   date command with different utilities, you will

                   realize the real power.

                   A date command can be handy in bash scripting,

                   backup, and the limation is your imagination.

                   In this article, you will see the basic to advanced

                   usage of the date command in Linux.

      o § Desktop Environments/WMs⠀➾

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

                  # ⚓ Review:_The_Common_Desktop_Environment_(CDE)_on_a

                    modern_Linux_distribution⠀⇛

                         Once upon a time, in a long ago age called

                         the 1990s, I attended a class on operating

                         systems. It was my first hands-on exposure to

                         UNIX-like operating systems and the course

                         focused on Solaris. One feature which was

                         relatively new to Solaris at the time was the

                         Common Desktop Environment (CDE).

                         CDE took an approach to the desktop concept I

                         had not experienced before. Windows, at the

                         time, focused on launching applications from

                         its Start menu and then tracking open windows

                         with a task manager; and macOS was mostly

                         driven by a global menu at the time. CDE took

                         a different approach which seemed designed to

                         truly reflect the concept of a literal work

                         desk. A panel along the bottom of the display

                         contained drawers and toggle buttons.

                         Programs and files could be accessed by

                         opening the drawers and placing work items on

                         the desktop. (It might be more proper to say

                         “desktops” since CDE offered four virtual

                         desktops by default.) Items on the desktop

                         could be minimized or moved off to the corner

                         of the desk when not being used.

            # § GNOME Desktop/GTK⠀➾

                  # ⚓ 5_Tiny_Yet_Useful_Features_GNOME_Should_Totally_Add⠀⇛

                         Here are some feature suggestions to improve

                         the GNOME experience for the average desktop

                         Linux user.

      o § Distributions⠀➾

            # § BSD⠀➾

                  # ⚓ DragonFly_BSD_6.2⠀⇛

                         DragonFly version 6.2 is the next step in the

                         6.x release series. This version has hardware

                         support for type-2 hypervisors with NVMM, an

                         amdgpu driver, the experimental ability to

                         remote-mount HAMMER2 volumes, and many other

                         changes.

                         The details of all commits between the 6.0

                         and 6.2 releases are available in the

                         associated commit messages for 6.2.1. 6.2.0

                         was not released.

            # § Arch Family⠀➾

                  # ⚓ Manjaro_21.2_Qonos_Plasma_–_Very_nice,_high_five⠀⇛

                         Manjaro 21.2 Qonos Plasma is a pretty darn

                         good distro. Let’s start with the negatives.

                         A few small bugs here and there, the system

                         menu needs to be resizable, the package

                         management is under-developed, and the

                         battery life is only solid+, but not more

                         than that. Everything else? Well, quite

                         nicely done.

                         I have to say that Qonos Plasma is one of the

                         more cohesive distros I’ve tried in a while,

                         and the level of consistency with the Gnome

                         edition is quite admirable. The system

                         delivers beauty, speed, a good arsenal of

                         programs, decent defaults, even more decent

                         configurability thanks to the Plasma desktop,

                         elegance, and stability. If not for the

                         rolling nature of this distro, I might even

                         consider doing some risky production-level

                         experimentation. We ain’t there yet. But.

                         But. Manjaro is constantly improving, and so,

                         who knows what might happen a year or two

                         from now. All in all, quite recommended and

                         more than worth your time and testing.

            # § Debian Family⠀➾

                  # ⚓ In_practice,_Debian_(and_Ubuntu)_have_fixed_minimum

                    system_UIDs_and_GIDs⠀⇛

                         Unfortunately, in practice the start of the

                         range for both system UIDs and GIDs is fixed.

                         This comes about through two things combined

                         together. First, a certain number of system

                         logins and groups are created early in system

                         installation, well before you can normally

                         customize the system. These early system

                         logins and groups will use the standard

                         starting point for system UIDs and GIDs

                         (currently 100 for both), and so be assigned

                         low UIDs and GIDs. This includes things like

                         the ‘systemd-network’ login and the ‘systemd-

                         journal’ group.

            # § Canonical/Ubuntu Family⠀➾

                  # ⚓ It_might_be_time_to_consider_running_Ubuntu_on_your

                    smartphone⠀⇛

                         The UBports Foundation has rolled out an

                         update for mobile operating system Ubuntu

                         Touch that eliminates a long-standing pain

                         point.

                         Ubuntu Touch OTA-21, the latest version of

                         the Linux-based OS, delivers a fix for

                         problems with the set-up and synchronization

                         of Google accounts, first encountered by

                         users more than two years ago. Now, however,

                         users should be able to sync their Google

                         calendar and contacts without any issues.

                         Other changes include a sleek new “Greeter”

                         screen, which is displayed when the

                         smartphone or tablet is about to be unlocked,

                         and an upgrade that allows MMS content to be

                         retrieved when in 2G network mode.

      o § Devices/Embedded⠀➾

            # ⚓ Portable_PI_Powered_Music_Player_|_Hackaday⠀⇛

                   There was a brief time in the early 2000s when we

                   carried cellphones, wallets, keys, and a bespoke

                   digital media player loaded with a small selection

                   of our music libraries. Devices like iPods, Zunes,

                   Sandisk Sansa, and iRiver. Then as cell phones

                   gained more storage and processing power, the two

                   devices became one, and audio players slipped to

                   obscurity as sports accessories. Perhaps in that

                   vein, [BalderDragonSlayer] made his own Raspberry

                   Pi-powered media player.

                   The device was cobbled together using a Raspberry

                   Pi Zero, an Adafruit OLED bonnet, a LiPo charger,

                   and a cheap USB DAC. The interface software is

                   written in python, which has all your usual player

                   controls, using the directional joystick and two

                   pushbuttons on the bonnet. DietPi is a slimmed-down

                   Linux that offers an impressively fast boot time,

                   which is why it was picked for this project. The

                   case was a simple project case with some holes

                   dremeled into the face for the screen and buttons.

            # § Mobile Systems/Mobile Applications⠀➾

                  # ⚓ 5_Android_apps_you_shouldn’t_miss_this_week_–_Android

                    Apps_Weekly⠀⇛

                  # ⚓ Do_not_install_this_fake_Flash_Player_Android_app

                    even_if_a_friend_urges_you_to_–_PhoneArena⠀⇛

                  # ⚓ New_Android_warning:_Delete_this_text_message_NOW_or

                    pay_a_heavy_price_|_Express.co.uk⠀⇛

                  # ⚓ Nebula_Streaming_Service_Gets_An_Android_TV_App⠀⇛

                  # ⚓ Gmail_app_hits_10_billion_installs_on_Android,_only

                    slightly_higher_than_your_unread_emails⠀⇛

                  # ⚓ Samsung_One_UI_4.0_(Android_12)_update_tracker:

                    Eligible_devices_&_more⠀⇛

                  # ⚓ iQOO_Z5_gets_Android-12_based_Funtouch_beta_update_–

                    GSMArena.com_news⠀⇛

                  # ⚓ Vu_75_QLED_Premium_TV_With_Android_11,_Dolby_Vision

                    Support_Launched_in_India:_Price,_Specifications_|

                    Technology_News⠀⇛

                  # ⚓ LG_Android_11_update_(LG_UX_10)_list_of_eligible

                    devices_&_release_date⠀⇛

                  # ⚓ (Updated)_The_Most_Exciting_Games_You_can_Pre-

                    Register_for_on_Android_Right_Now_–_Droid_Gamers⠀⇛

                  # ⚓ How_To_Find_and_Solve_Which_Android_Apps_Consuming

                    Most_Memory⠀⇛

                  # ⚓ How_to_Grant_Permissions_Using_ADB_in_Android⠀⇛

                  # ⚓ OnePlus_Nord_N200_5G_delivers_an_even_more_affordable

                    Android_experience_at_$210_–_9to5Toys⠀⇛

                  # ⚓ Gmail_Becomes_Fourth_App_to_Hit_10_Billion_Installs

                    on_Android_|_Technology_News⠀⇛

                  # ⚓ Speed_boost_your_phone_in_2_minutes_with_this_Android

                    lifehack_|_NextPit⠀⇛

                  # ⚓ 15_new_Android_games_from_the_last_two_weeks:_The

                    best,_worst,_and_everything_in_between_(12/26/21-1/9/

                    22)⠀⇛

                  # ⚓ Lenovo_Tab_P12_Pro_Android_tablet_from_$630_–_Geeky

                    Gadgets⠀⇛

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

            # ⚓ Why_we_built_an_open_source_testing_framework⠀⇛

                   If you’ve ever wanted to join an open source

                   community and contribute or start an open source

                   project of your own, then read on to find out about

                   our fun and awesome open source project we created

                   from scratch at Red Hat. I’m a Software Quality

                   Engineering Manager in the OpenStack Networking

                   group, and together with a team of engineers both

                   from my team and from R&D, we collaborated to

                   create the Tobiko open source testing framework.

                   Sometimes, you just have to start a new open source

                   project.

                   Our starting point was good. We already had an

                   official open source testing framework called

                   Tempest, which strived for complete coverage of the

                   OpenStack API and common scenarios that simulate a

                   working cloud.

            # § Web Browsers⠀➾

                  # § Mozilla⠀➾

                        # ⚓ Mozilla_pauses_donations_using_cryptocurrencies

                          after_community_fallout⠀⇛

                               The Mozilla Foundation faced community

                               disapproval after previously indicating

                               that it will allow people to donate

                               using various cryptocurrencies such as

                               Ethereum and Dogecoin through BitPay.

                               The foundation takes pride in its non-

                               profit status and its commitment to

                               privacy. However, the organisation was

                               scolded by the founder of Mozilla,

                               Jamie Zawinski, who uncandidly

                               expressed his grave distaste for the

                               donation policy by bashing the

                               ‘decision to partner with planet-

                               incinerating Ponzi grifters’.

                        # ⚓ Firefox_96_Is_Now_Available_for_Download,

                          Here’s_What’s_New⠀⇛

                               Firefox 96 is here as the first release

                               of the open-source web browser in 2022,

                               bringing a handful of modest

                               performance and security improvements

                               to make your web browsing experience

                               more stable, reliable, and secure.

                               For example, the new Firefox release

                               significantly reduces the main thread

                               load, significantly improves noise-

                               suppression and auto-gain-control, and

                               slightly improves echo-cancellation to

                               provide users with a better overall

                               experience.

                        # ⚓ Linux_Mint_Devs_Announce_Partnership_with

                          Mozilla_to_Improve_Firefox_in_Linux_Mint⠀⇛

                               According to Clement Lefebvre, this is

                               both a commercial or a technical

                               partnership in an attempt to improve

                               the Firefox web browser in Linux Mint.

                               Firefox will still be distributed as a

                               .deb package in Linux Mint, but

                               starting with the Firefox 96 release,

                               it will receive better support for

                               rounded corners for its own window

                               decorations.

                               But, what’s most important is the fact

                               that the default Firefox configuration

                               in Linux Mint will change due to this

                               partnership to provide users with a

                               configuration almost identical to the

                               version of the web browser distributed

                               by Mozilla.

            # § Productivity Software/LibreOffice/Calligra⠀➾

                  # ⚓ Oyez!_Oyez!_Oyez!_The_LibreOffice_Draw_Guide_7.2_has

                    arrived!⠀⇛

                         Anyone who wants to quickly acquire knowledge

                         about LibreOffice Draw and is new to drawing

                         software, or may be familiar with another

                         office suite, will find this user guide very

                         useful. It introduces the main features of

                         LibreOffice Draw. Although Draw is a vector

                         graphics drawing tool, it can also perform

                         some operations on raster graphics (pixels)

                         such as photographs.

                         Using Draw, a wide variety of graphical

                         images can be created quickly. Some of the

                         drawing functions are: layer management, snap

                         functions and grid-point system, dimensions

                         and measurement display, connectors for

                         making organization charts, 3D functions that

                         enable small 3D drawings to be created (with

                         texture and lighting effects), drawing and

                         page-style integration, and Bézier curves.

            # § Education⠀➾

                  # ⚓ 80_years_and_one_phone_call_later,_WWII_veteran,_POW

                    finally_receives_his_high_school_diploma⠀⇛

                         Officials at East Sac County School District

                         in Iowa sprang into action, searching for old

                         copies of Auburn High School diplomas, seals

                         and other graduation materials.

                         Roughly two-and-a-half hours after his

                         conversation with Gooding, Litterer had

                         everything he needed, including a pilot who

                         agreed to fly him to Texas.

            # § FSF⠀➾

                  # § GNU Projects⠀➾

                        # ⚓ GNU_Linux-Libre_5.16_Kernel_Released_for_Those

                          Seeking_100%_Freedom_for_Their_PCs⠀⇛

                               Based on the Linux 5.16 kernel series,

                               the GNU Linux-libre 5.16 kernel is here

                               to introduced an analogous

                               firmware_reject_builtin function for

                               the new firmware_request_builtin call

                               in Linux kernel 5.16, as well as to

                               unify the various separate shell

                               functions used by the cleanup scripts

                               to disable request_firmware and the

                               _nowarn variant, and extended them to

                               also clean up the _builtin variant.

                               In addition, the GNU Linux-libre 5.16

                               kernel removes blob names from various

                               new drivers added in Linux kernel 5.16,

                               including the mt7921s and rtw89 (8852a)

                               Wi-Fi drivers, the ili210x touchscreen

                               driver, the i.MX dsp remoteproc driver,

                               qdsp6 audio driver, and the devicetree

                               files for AArch64 (ARM64) qcom

                               variants.

            # § Programming/Development⠀➾

                  # ⚓ Open_source_developer_corrupts_widely-used_libraries,

                    affecting_tons_of_projects⠀⇛

                         A developer appears to have purposefully

                         corrupted a pair of open-source libraries on

                         GitHub and software registry npm — “faker.js”

                         and “colors.js” — that thousands of users

                         depend on, rendering any project that

                         contains these libraries useless, as reported

                         by Bleeping Computer. While it looks like

                         color.js has been updated to a working

                         version, faker.js still appears to be

                         affected, but the issue can be worked around

                         by downgrading to a previous version (5.5.3).

                  # ⚓ Blockchain_and_how_does_it_work?⠀⇛

                         In his 1982 dissertation “Computer Systems

                         Established, Maintained, and Trusted by

                         Mutually Suspicious Groups,” cryptographer

                         David Chaum presented a blockchain-like

                         system for the first time. Stuart Haber and

                         W. Scott Stornetta presented more work on a

                         cryptographically protected chain of blocks

                         in 1991.

                         However, blockchain saw its use in 2009.

                         Satoshi Nakamoto created the first successful

                         and popular implementation of Blockchain

                         technology in 2009 by creating the first

                         digital cryptocurrency called Bitcoin.

                  # ⚓ Dirk_Eddelbuettel:_Rblpapi_0.3.13:_Some_Fixes_and

                    Documentation⠀⇛

                         A new version, now at 0.3.13, of the Rblpapi

                         package just arrived at CRAN. Rblpapi

                         provides a direct interface between R and the

                         Bloomberg Terminal via the C++ API provided

                         by Bloomberg (but note that a valid Bloomberg

                         license and installation is required).

                         This is the thirteenth release since the

                         package first appeared on CRAN in 2016. It

                         comprises the PRs from three different

                         contributors (with special thanks once again

                         to Michael Kerber), and extends test and

                         documentation, and extends two function

                         interfaces to control explicitly whether

                         returned lists of length one should be

                         simplified.

      o § Standards/Consortia⠀➾

            # ⚓ Portability_is_not_sufficient_for_portability⠀⇛

                   Before looking into portable software, let’s first

                   examine portability from a hardware perspective.

                   When you ask most people what they consider a

                   “portable computer”, they’ll probably think of

                   laptops or possibly even a modern smartphone. But

                   what about this: [...]

            # ⚓ [Old] Dagen_H,_the_day_Sweden_switched_sides_of_the_road,

              1967⠀⇛

                   Initially, the usage of American cars (with drivers

                   positioned on the left side of the vehicle) in

                   left-hand traffic was advantageous to early

                   drivers. It allowed them to negotiate the tight

                   squeezes past oncoming traffic by paying close

                   attention to the underdeveloped left shoulders of

                   the country’s old roads.

                   By the 1950s and 1960s, increased auto traffic and

                   more developed roads created dangerous overtaking

                   situations due to the mismatch of left-hand roads

                   and American-style left-side drive.

                   Therefore, the Swedes implemented a switch in the

                   name of logic, safety, and consistency with their

                   Scandinavian and continental counterparts.

* § Leftovers⠀➾

      o ⚓ Mailer_and_Me⠀⇛

      o § Science⠀➾

            # ⚓ Even_NASA_Seems_Surprised_by_Its_New_Space_Telescope⠀⇛

                   NASA had never attempted such a complicated

                   deployment before, and there were hundreds of ways

                   that the process could go wrong. If an important

                   part became stuck—really, truly stuck—NASA would

                   have to face the painful reality of abandoning its

                   brand-new, $10 billion mission. Over the past two

                   weeks, Webb’s stewards have worked nearly nonstop,

                   trading 12-hour shifts, checking and rechecking

                   data as hundreds of little mechanisms clicked into

                   action.

                   And this afternoon, one final piece slid into

                   place. The deployment, the scariest part of the

                   mission—the one that astronomers and engineers have

                   dreaded for years—is over. Rigby was in the

                   mission-operations room at the Space Telescope

                   Science Institute, in Baltimore, when they called

                   it. Webb, once compact and curled up, has finally

                   become a real space telescope.

            # ⚓ NASA’s_James_Webb_Space_Telescope_deployment_complete_as

              mirror_unfolds⠀⇛

                   The team behind the recently launched James Webb

                   Space Telescope successfully finished unfolding the

                   instrument’s distinctive golden mirror on Saturday,

                   meaning the telescope is now fully deployed and is

                   one step closer to sending back data about the

                   universe’s first galaxies.

      o § Hardware⠀➾

            # ⚓ Macropopsicle_Melts_On_Your_Desk,_Not_In_Your_Mouth_|

              Hackaday⠀⇛

                   We all know by now that macropads are super cool

                   shortcut machines. And what’s cooler than a

                   popsicle? Well, this cute little thing, which goes

                   by the name of Macropopsicle.

                   The freezer’s open if you want your own

                   Macropopsicle. There’s not much more to this tasty

                   and practical desktop treat than an adafruit QT Py,

                   a couple of Cherry MX-style switches, some wires,

                   and a handful of printed parts. One cool thing

                   about this design is that all the pieces print with

                   little to no supports, and many of them snap

                   together.

            # ⚓ Fail_Of_The_Week:_3D_Printed_Parts_That_Burn_Like_NASA’s

              Rocket_Fuel_|_Hackaday⠀⇛

                   [Integza] is on a mission to find as many ways as

                   possible to build rockets and other engines using

                   3D printing and other accessible manufacturing

                   techniques. He had an a great idea – is it possible

                   to 3D print a solid fuelled rocket, (video,

                   embedded below) specifically can you 3D print the

                   rocket grain itself? By using the resin as a fuel

                   and mixing in a potent oxidiser (ammonium

                   perchlorate specifically – thanks for the tip

                   NASA!) he has some, erm, mixed success.

      o § Health/Nutrition/Agriculture⠀➾

            # ⚓ CDC’s_Revised_Quarantine_Guidelines_Worry_Overburdened

              Health_Care_Workers⠀⇛

            # ⚓ Instead_of_More_Support,_Schools_Have_Upped_Demands_on

              Teachers_During_Pandemic⠀⇛

            # ⚓ Census_1921_–_100-year-old_secrets_revealed⠀⇛

                   Pages from the 1921 Census – made available for the

                   first time – reveal glimpses of some of the lives

                   of the 38 million people living in England and

                   Wales on the evening of 19 June that year. At the

                   time, the country was recovering from the shocks of

                   World War One and the Spanish flu pandemic.

            # ⚓ Employee_of_vaccination_centre_“violently_assaulted”⠀⇛

                   On Friday, an employee of the vaccination centre in

                   Munster (Haut-Rhin) was “violently attacked” by

                   three people, the Haut-Rhin district and the Grand

                   Est regional health agency (ARS) announced on

                   Saturday.

                   The prosecutor of the Republic of Colmar, Catherine

                   Sorita-Minard, announced on Saturday that she had

                   opened an investigation for “violence with a weapon

                   and premeditation” and that the investigation had

                   been entrusted to the Gendarmerie of Colmar, which

                   will now investigate the attackers and possible

                   motives.

            # ⚓ Exclusive_poll:_Overwhelming_majority_says_the_U.S._faces_a

              mental_health_crisis⠀⇛

                   Shelli Avenevoli, deputy director for the National

                   Institute of Mental Health, said mental health is

                   top of mind for people. Even if someone isn’t

                   experiencing problems themselves, they know someone

                   who is, she said.

            # ⚓ Hundreds_of_US_hospitals_are_breaking_the_law_on_price

              transparency⠀⇛

                   According to the requirement, all hospitals that

                   accept Medicare must publish a machine-readable

                   file listing all their services and prices,

                   including all discounts, as well as a user-friendly

                   file with at least 300 services (or as many as they

                   offer) with their prices and discount. Nearly all

                   of the 6,090 hospitals in the US fall under the

                   law.

                   Prior to the rule, which was initially introduced

                   in 2019, then strengthened last year after some

                   legal challenges, hospitals were able to keep their

                   prices secret. Patients had no way to know how much

                   a specific service was going to cost beforehand,

                   and couldn’t shop around for lower rates for

                   scheduled services.

            # ⚓ Old_tattoo_colours_prohibited_as_of_5_January⠀⇛

                   As of this year, the new EU regulation, entitled

                   REACH, has prohibited the use of around 4,000

                   substances due to concerns about them leading to

                   cancer or causing allergies. This means that most

                   tattoo colours are now off limits, with red and

                   green pigments following soon.

            # ⚓ Hold_That_Anti-Fogging_Spray:_Duke_University_Researchers

              Find_Forever_Chemicals_in_Commonly_Used_Eyeglass_Product⠀⇛

      o § Integrity/Availability⠀➾

            # § Proprietary⠀➾

                  # ⚓ The_Story_of_Adobe⠀⇛

                         Adobe is celebrating its 40th anniversary

                         this year and the company has never been

                         performing better. After successfully moving

                         from the perpetual licensing model of

                         software to SaaS, the company is worth $243

                         billion. Many of the products that made Adobe

                         famous are still used today like PDF and

                         Photoshop. Adobe’s story is fascinating: run

                         ins with Steve Jobs, snagging a distribution

                         deal of a hot new piece of software called

                         Photoshop, and even a kidnapping.

                  # § Security⠀➾

                        # ⚓ Security_updates_for_Monday_[LWN.net]⠀⇛

                               Security updates have been issued by

                               Debian (ghostscript and roundcube),

                               Fedora (gegl04, mbedtls, and

                               mediawiki), openSUSE (kubevirt, virt-

                               api-container, virt-controller-

                               container, virt-handler-container,

                               virt-launcher-container, virt-operator-

                               container), SUSE (kubevirt, virt-api-

                               container, virt-controller-container,

                               virt-handler-container, virt-launcher-

                               container, virt-operator-container and

                               libvirt), and Ubuntu (apache2).

                        # § Privacy/Surveillance⠀➾

                              # ⚓ Opinion_|_Congress_Must_Pass_Federal_Data

                                Privacy_Law_to_Protect_Democracy⠀⇛

                                     January 6, 2021 will be

                                     remembered as one of the darkest

                                     days for democracy in modern U.S.

                                     history, and the attack’s

                                     anniversary coincides with the

                                     kickoff of an election year. Some

                                     lawmakers responded to January 6

                                     by attempting to reduce online

                                     free speech by modifying Section

                                     230. However, this misguided

                                     approach would fail to address

                                     radicalization and hate online,

                                     undermine human rights, and

                                     further solidify Big Tech’s

                                     domination of the internet. In

                                     this election year, lawmakers

                                     must stop the true threat to

                                     democracy: mass surveillance.

                              # ⚓ Alec_Baldwin_says_in_Instagram_video_he

                                is_complying_with_cell_phone_search

                                warrant⠀⇛

                                     “This is a process,” the actor

                                     said, adding part of the process

                                     involves investigators from

                                     another state having to go

                                     through the state he lives in to

                                     make a request for his phone.

                                     “They have to specify what

                                     exactly they want. They can’t

                                     just go through your phone and

                                     take, you know, your photos or

                                     your love letters to your wife or

                                     what have you,” Baldwin said in a

                                     video shot in the driver’s seat

                                     of a parked car.

                              # ⚓ Sports_Illustrated_swimsuit_model_says

                                she_was_tracked_for_hours_with_AirTag⠀⇛

                                     Nader, 26, detailed the incident

                                     in an Instagram post on Thursday.

                                     Nader said that she left her coat

                                     on the back of a chair, which is

                                     when someone could have placed

                                     the AirTag in her pocket. After

                                     that, she says the person stalked

                                     her for five hours as she went

                                     bar-hopping in New York City.

                                     She was only alerted to the

                                     stalking when a notification

                                     appeared on her iPhone that said

                                     an unknown accessory was moving

                                     with her. She discovered the

                                     AirTag in her coat after she got

                                     home.

                              # ⚓ Model_shares_warning,_says_a_stranger_was

                                tracking_her_with_an_Apple_AirTag⠀⇛

                                     “Once I was already on my walk

                                     home, halfway home, I got the

                                     notification that was like

                                     ‘Someone’s tracking you and has

                                     been for a while,’” she explained

                                     in her Instagram story. “So I

                                     freaked out, obviously and then,

                                     of course my phone died.”

                              # ⚓ [Old] I_tracked_my_kid_with_Apple’s

                                Airtags_to_test_its_privacy_features⠀⇛

                                     I clipped a keychain with one of

                                     Apple’s tiny new Bluetooth

                                     trackers, AirTags, onto my son’s

                                     book bag and waved goodbye to him

                                     on the school bus. I watched on

                                     my iPhone’s Find My app as the

                                     bus stopped at a light a few

                                     blocks down from our street.

                                     But then the tiny “key” icon on

                                     the app stopped moving. The item

                                     was “last detected” seven minutes

                                     ago at a busy intersection less

                                     than a mile away. Traffic, maybe?

                                     Five more minutes passed with no

                                     update. Is there an issue with

                                     the app? After another 10

                                     minutes, my heart started to

                                     race; still nothing.

                                     Finally, the tracker was detected

                                     four miles away in front of his

                                     school. Relieved, I decided more

                                     information in this case was

                                     worse; I’d go back to just

                                     tracking my keys. Apple later

                                     told me the delay was due to the

                                     tracker needing to communicate

                                     with Bluetooth on other iOS

                                     devices in the Find My network

                                     along the bus route before the

                                     AirTag’s location could be

                                     updated to iCloud and the app.

                                     Still, my experiment highlighted

                                     how easily these trackers could

                                     be used to track another person.

                                     After all, I knew the moment he

                                     arrived at school and when he got

                                     back on the bus to head home.

      o § Defence/Aggression⠀➾

            # ⚓ Biden_Urged_to_‘Engage_Diplomatically’_With_Russia_to

              ‘Avert_a_Military_Conflict’_Over_Ukraine⠀⇛

                   Ahead of highly anticipated talks scheduled to

                   begin Monday, a diverse coalition of organizations

                   sent a letter to the White House urging U.S.

                   President Joe Biden to “engage diplomatically” with

                   Russia to prevent an armed confrontation resulting

                   from rising tensions involving Ukraine.

                   “We urge you to continue to pursue diplomatic

                   progress, to promote de-escalation, and to seek

                   negotiated solutions to disputes that avoid war.”

            # ⚓ Opinion_|_Nuclear-Armed_Nations—Including_the_US—Must_End

              Their_Hypocrisy⠀⇛

                   In an open letter to President Biden over 1,000

                   physicians, health professionals and concerned

                   citizens have called on the president to take bold

                   action toward the complete elimination of nuclear

                   weapons in anticipation of his administration’s

                   Nuclear Posture Review expected to be released in

                   the next month.

            # ⚓ ’20_Years_of_US_Torture_and_Counting’:_Report_Details_Post-

              9/11_Abuse_at_Gitmo_and_Beyond⠀⇛

                   A report released Sunday, nearly 20 years after the

                   first prisoners arrived at Naval Station Guantánamo

                   Bay, details “systematic abuses carried out by the

                   United States Central Intelligence Agency (CIA) and

                   U.S. military” since the 2001 terrorist attacks.

                   “Thus far, Biden administration actions raise

                   sobering questions about its commitment to ending

                   the so-called ‘War on Terror.’”

            # ⚓ Nigeria_motorbike_gang_attack:_Death_toll_rises_to_200⠀⇛

                   Known locally as bandits, these gangs are

                   sophisticated networks of criminals who operate

                   across large swathes of territory, often stealing

                   animals, kidnapping for ransom and killing those

                   who confront them.

                   This week, the government officially labelled

                   bandits as terrorists, allowing security forces to

                   impose tougher sanctions on the groups and their

                   supporters.

            # ⚓ Democrats_quietly_explore_barring_Trump_from_office_over

              Jan._6⠀⇛

                   Section 3 of the 14th Amendment, which was ratified

                   after the Civil War, says that officeholders who

                   “have engaged in insurrection or rebellion against

                   the same” are disqualified from future office.

      o § Environment⠀➾

            # § Energy⠀➾

                  # ⚓ More_government_funding_for_solar_R&D⠀⇛

                         Arena’s latest $40 million R&D funding round

                         is intended to support projects that align

                         with the agency’s Solar 30 30 30 target of

                         30% module efficiency and 30 cents per

                         installed watt at utility scale by 2030.

                  # ⚓ Celebrities_push_cryptocurrencies,_but_their_fans

                    carry_all_the_risk⠀⇛

                         “[Cryptocurrency] is orders of magnitude

                         riskier than anything in the stock market,”

                         said Eshwar Venugopal, a finance professor at

                         the University of Central Florida,

                         principally because of the lack of financial

                         transparency and legal accountability that

                         come with regulated securities. He likened

                         investing in [cryptocurrency] to being an

                         angel investor in an early-stage startup

                         knowing your investment could go to zero. For

                         [cryptocurrency] investors, “the risk is from

                         lack of information, misinformation, and

                         speculation,” he said.

                  # ⚓ Finance_minister:_US,_Estonia_can_collaborate_on

                    crypto_currency_monitoring⠀⇛

                         A bill soon to be put before the Riigikogu

                         will, if it passes, increase the transparency

                         of virtual currency transactions, including

                         those using crypto currencies like Bitcoin,

                         as well as non-fungible tokens (NFTs),

                         reducing the anonymity of [cryptocurrency]

                         asset transactions, the finance ministry

                         says, adding this will enable more effective

                         monitoring of a sector which, the minister

                         says, is rapidly growing.

            # § Overpopulation⠀➾

                  # ⚓ Air_pollution:_Delhi’s_smog_problem_is_rooted_in

                    India’s_water_crisis⠀⇛

                         But then comes winter. Pollution in any city

                         mixes vertically in the atmosphere, and the

                         height at which this happens shrinks by more

                         than half in the winter, raising the

                         concentration of pollution. Two new sources

                         also enter the mix. By the end of October,

                         when the rains have ceased, the winds begin

                         to blow in from the northwest, carrying fumes

                         from burning fields. Then there is the

                         Diwali, the popular festival lights, where

                         millions burst fire crackers to celebrate.

                  # ⚓ [Old] ‘Zero_Day’_for_California_water?_Not_yet,_but

                    unprecedented_water_restrictions_send_a_sharp_warning⠀⇛

                         Based on water conditions each year, the

                         state Department of Water Resources makes an

                         initial allocation by Dec. 1 to help these

                         state water contractors plan. As the year

                         progresses, the state can adjust the

                         allocation based on additional rain or snow

                         and the amount of water in storage

                         reservoirs. In 2010, for example, the

                         allocation started at 5% and was raised to

                         50% by June. In 2014, the allocation started

                         at 5%, dropped to 0% and then finished at 5%.

                         This year is the lowest initial allocation on

                         record. According to the state Department of

                         Water Resources, “unprecedented drought

                         conditions” and “reservoirs at or near

                         historic lows” led to this year’s headline-

                         producing 0% allocation.

                  # ⚓ [Old] Is_it_‘Zero_Day’_for_California_Water?⠀⇛

                         On Dec. 1, 2021, California triggered

                         headlines heard around the world when

                         officials announced how much water suppliers

                         would be getting from the State Water

                         Project. “California water districts to get

                         0% of requested supplies in an unprecedented

                         decision,” one headline proclaimed. “No state

                         water for California farms,” read another.

                  # ⚓ California_adopts_drought_rules_outlawing_water

                    wasting,_with_fines_of_up_to_$500⠀⇛

                         In an effort to discourage wasteful water

                         practices such as hosing off driveways or

                         allowing irrigation water to run down

                         streets, California water officials have

                         imposed new drought rules for cities and

                         towns throughout the state.

                         The regulations, adopted Tuesday by the State

                         Water Resources Control Board, prohibit

                         overwatering yards, washing cars without a

                         shutoff nozzle, hosing down sidewalks or

                         watering grass within 48 hours after

                         rainfall.

                  # ⚓ California_adopts_water_restrictions_as_drought_drags

                    on⠀⇛

                         The action comes as Californians have failed

                         to meet Gov. Gavin Newsom’s call for a

                         voluntary 15% reduction in water use compared

                         to last year. Between July and November, the

                         state’s water usage went down just 6%.

      o § Finance⠀➾

            # ⚓ Manchin_Accused_of_“Bad-Faith_Negotiating”_for_Spurning_His

              Own_BBB_Counteroffer⠀⇛

            # ⚓ Finland’s_biggest_bank_reports_cyberattack⠀⇛

                   “This morning we discovered that the login page of

                   the op.fi service had been the target of a

                   cyberattack that caused a disruption. As a result,

                   we shifted the entire service to a maintenance

                   state and investigated the matter,” Teemu Ylhäisi,

                   Chief Information Security Officer of the OP

                   Financial Group, told the Finnish news agency STT.

            # ⚓ As_Job_Gains_Slow,_the_Fed_and_Congress_Apply_the_Wrong

              Medicine⠀⇛

                   Employers added only 199,000 jobs in December.

                   That’s the fewest new jobs added in any month last

                   year. In November, employers added 249,000. The

                   average for 2021 was 537,000 jobs per month. Note

                   also that the December survey was done in mid-

                   December, before the latest surge in the Omicron

                   variant of Covid caused millions of people to stay

                   home.

            # ⚓ Opinion_|_Think_Big_to_Overcome_Losing_Big_to_Corporatism⠀⇛

                   The progressive citizen groups, that in the ’60s

                   and ’70s, drove through Congress the key

                   environmental, worker, and consumer legislation,

                   since unmatched, must feel nostalgic. Those were

                   the years when legislation throwing cruel companies

                   on the defensive was signed by arch-corporatist,

                   President Richard Nixon, because he read the

                   political tea leaves.

            # ⚓ Amazon_Cuts_Paid_Leave_for_Workers_With_Covid-19_After_CDC

              Updates_Guidance⠀⇛

            # ⚓ Amazon_just_halved_paid_COVID_leave_for_U.S._workers⠀⇛

      o § AstroTurf/Lobbying/Politics⠀➾

            # ⚓ Cheney’s_Inferno_Comes_to_Capitol_Hill⠀⇛

                   Now as I write this today, on January 6, I can see

                   video of the Democratic members of Congress

                   gathered to honor the officers who tried to stem

                   the attack on the Capitol last year – an attack

                   fomented by a man who, unlike Cheney and Bush,

                   failed in his effort to subvert an election. I see

                   Dick Cheney there, with his daughter Liz, the only

                   sitting Republican to show up. I see solemn

                   Democratic grandees lining up to shake Dick

                   Cheney’s hand, to welcome him warmly. A glance at

                   media feeds shows me a great gaggle of “liberal”

                   voices praising Cheney for “supporting democracy,”

                   engaging in their usual orgiastic spasms at the

                   sight of any display of bipartisanship.

      o § Censorship/Free Speech⠀➾

            # ⚓ Taliban_arrest_Afghan_professor_after_criticism⠀⇛

                   A prominent Afghan university professor and open

                   critic of the Taliban’s hardline regime has been

                   arrested in Kabul, with his daughter on Sunday

                   saying she now fears for his safety.

                   Professor Faizullah Jalal was arrested by the

                   Taliban on Saturday after repeatedly speaking out

                   on television against the country’s new rulers, who

                   stormed back to power in August.

      o § Civil Rights/Policing⠀➾

            # ⚓ When_Revolutionary_Moments_Arise_Again_—_and_They_Will_—

              What_Will_We_Do?⠀⇛

            # ⚓ Columbia_University_Student_Workers_Triumph_in_Campaign_for

              First_Union_Contract⠀⇛

            # ⚓ NYC_Enacts_Law_Allowing_Over_800,000_Immigrants_to_Vote_in

              Local_Elections⠀⇛

                   A New York City law granting more than 800,000

                   lawful permanent residents the right to vote in

                   local elections took effect Sunday after the

                   recently elected mayor, Democrat Eric Adams,

                   declined to veto it.

                   “We build a stronger democracy when we include the

                   voices of immigrants.”

            # ⚓ Ongoing_Backlash_Against_CRT_Ignores_Black_Children’s

              Experience_of_Racism⠀⇛

      o § Monopolies⠀➾

            # § Patents⠀➾

                  # ⚓ EPO_Launches_Consultation_On_Grace_Periods [Ed: EPO

                    is a Mafia that knows_nothing_about_grace]⠀⇛

                  # ⚓ Canada’s_patent_dispute_over_cherry_tree_plant_moves

                    to_trial [Ed: Who ‘owns’ fruit?]⠀⇛

                         The Canadian government will be able to

                         pursue its allegations of plant patent

                         infringement against two US fruit companies

                         at trial, a federal court in Washington has

                         determined.

                  # ⚓ Review_Of_EPO_Antibody_Decisions_January_2021_–

                    December_2021 [Ed: Corrupt EPO management wants you to

                    believe that life_and_nature_themselves_are_inventions

                    and_humans_can_monopolise_both]⠀⇛

                  # ⚓ EPO_Board_Of_Appeal_Finds_“No_Legal_Basis”_For

                    Requirement_To_Adapt_The_Description_To_Conform_To_The

                    Claims [Ed: As_if_they_care_about_what’s_legal_and

                    what’s_not_legal]⠀⇛

                         As applicants and representatives will be

                         well-aware, the EPO has, for a very long

                         time, required that the description of a

                         patent application be amended prior to grant

                         to ensure that it “conforms” to the allowed

                         claims. Traditionally such amendments took

                         the form of amending the “summary of the

                         invention” or similar introductory portion of

                         the application to recite the wording of the

                         allowed independent claims, or to make

                         explicit reference to those claims. Such

                         amendments, whilst occasionally tedious,

                         became an accepted part of practice at the

                         EPO and had no noticeable impact on the scope

                         of protection.

                         However, in the past year or so, we have seen

                         a significant “tightening-up” of the EPO’s

                         approach to description amendments which has

                         become, in many cases, extremely burdensome

                         and raised concerns about the interpretation

                         of the resulting granted patents. This

                         process started with the issuance of internal

                         guidance to EPO examiners regarding the

                         amendments, that guidance being largely

                         codified in the 2021 edition of the EPO’s

                         Guidelines for Examination as reported here.

                         Most relevantly, the Guidelines specified

                         that embodiments which do not fall under the

                         scope of the claims should be deleted or

                         “prominently stated” as not being covered by

                         the claims. The revised Guidelines also

                         indicated that it was “not sufficient to use

                         generic statements such as “embodiments not

                         falling under the scope of the appended

                         claims are to be considered merely as

                         examples suitable for understanding the

                         invention” without indicating which parts of

                         the description are no longer covered” and

                         that “merely changing the wording “invention”

                         to “disclosure” and/or the wording

                         “embodiment” to “example”, “aspect” or

                         similar is not sufficient … it has to be

                         explicitly specified that this part of the

                         description does not describe part of the

                         claimed invention.”

            # § Trademarks⠀➾

                  # ⚓ Muratbey_v_EUIPO_–_The_twists_and_turns_of_protecting

                    the_appearance_of_cheese_–_Carpmaels_&_Ransford_–_Law

                    Firm [Ed: Corrupt_EUIPO in trouble over the appearance

                    and name of cheese]⠀⇛

                         Registered Community designs can be used to

                         protect the appearance of products throughout

                         the European Union. In order to be valid,

                         these registrations must have individual

                         character, i.e. they must be sufficiently

                         different from existing designs. The legal

                         test is that they must produce an overall

                         impression on the informed user that differs

                         from the overall impression produced on the

                         informed user by any existing design.

                         In Muratbey Gida Sanayí ve Tícaret AŞ v EUIPO

                         (Case T‑662/20), the General Court considered

                         an appeal against a decision of the European

                         Union Intellectual Property Office’s Board of

                         Appeal. The decision had invalidated

                         Muratbey’s registration for a cheese with a

                         helical shape for lacking individual

                         character compared to an existing design.

            # § Copyrights⠀➾

                  # ⚓ Subpoenas_Targeted_Over_35,000_Cloudflare_Customer

                    Domain_Names_in_Six_Months⠀⇛

                         Cloudflare doesn’t remove anything in

                         response to DMCA takedown notices unless it

                         stores the content permanently on its

                         network. However, the company will hand over

                         the personal details of customers to

                         copyright holders who obtain a DMCA subpoena.

                         During the first half of 2021, civil

                         subpoenas targeted hundreds of customers

                         linked to more than 35,000 domains.

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