𝕿𝖊𝖈𝖍𝖗𝖎𝖌𝖍𝖙𝖘 Bulletin for Friday, February 23, 2024
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Generated Sat 24 Feb 02:49:28 GMT 2024
Created by Dr. Roy Schestowitz (𝚛𝚘𝚢 (at) 𝚜𝚌𝚑𝚎𝚜𝚝𝚘𝚠𝚒𝚝𝚣 (dot) 𝚌𝚘𝚖)
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Gemini index for the day: gemini://gemini.techrights.org/2024/02/23/


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

⦿ Techrights  -  Debian trademark canceled

⦿ Techrights  -  IRC Proceedings: Thursday, February 22, 2024

⦿ Techrights  -  Josef Kratochvíl and All the European Patent Organisation's Chiefs (at the Administrative Council Too) Notified That Over 1,000 Members of Staff Demand Action on Patent Quality and Compliance (Industry Too is Alarmed That Many Invalid Patents Get Granted)

⦿ Techrights  -  [Meme] Hide the Bodies

⦿ Techrights  -  Microsoft Lacks a Solid Strategic Plan Other Than Buying Its Own Stock (and Paying Staff in Shares)

⦿ Techrights  -  Microsoft's Pearls of Wisdom: Layoffs Are Growth

⦿ Techrights  -  Over at Tux Machines...

 ䷼ Bulletin articles (as HTML) to comment on (requires login):
https://news.techrights.org/n/2024/02/23/Debian_trademark_canceled.shtml
https://news.techrights.org/n/2024/02/23/IRC_Proceedings_Thursday_February_22_2024.shtml
https://news.techrights.org/n/2024/02/23/Josef_Kratochvil_and_All_the_European_Patent_Organisation_s_Chi.shtml
https://news.techrights.org/n/2024/02/23/Meme_Hide_the_Bodies.shtml
https://news.techrights.org/n/2024/02/23/Microsoft_Lacks_a_Solid_Strategic_Plan_Other_Than_Buying_Its_Ow.shtml
https://news.techrights.org/n/2024/02/23/Microsoft_s_Pearls_of_Wisdom_Layoffs_Are_Growth.shtml
https://news.techrights.org/n/2024/02/23/Over_at_Tux_Machines.shtml

 ䷞ Followed by Daily Links (assorted news picks curated and categorised):
https://news.techrights.org/n/2024/02/23/Gemini_Links_23_02_2024_Getting_Sick_of_Modern_Tech_and_Deletio.shtml
https://news.techrights.org/n/2024/02/23/Links_23_02_2024_227_Microsoft_Layoffs_Noted_in_Santa_Clara_and.shtml
https://news.techrights.org/n/2024/02/23/Links_23_02_2024_Feed_Aggregator_and_2_Years_of_Invasion_Alexei.shtml

                    ䷩ 𝚕𝚒𝚗𝚎 67

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

(ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/02/23/Debian_trademark_canceled.shtml
    Gemini version at gemini://gemini.techrights.org/n/2024/02/23/Debian_trademark_canceled.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Debian trademark
canceled⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Feb 23, 2024


Reprinted with permission from Daniel_Pocock.


In November, I submitted a request to the Swiss intellectual property office to
cancel the Debian trademark registration. In the request, I noted that the main
reason for cancelation is my lack of confidence in the Swiss legal system. This
is explained in much more detail in my earlier_blog_about_Parreaux,_Thiebaud_&
Partners_/_Justicia_SA.


The fact that a small group of lawyers decided to fly too close to the sun is
not very dramatic if it happened in isolation. What makes this case so
outrageous is that the practices of Parreaux, Thiebaud & Partners were known to
the bar associations for a number of years and yet the rogue firm continued
trading. News reports told us they had 450 clients in 2018. A LinkedIn post
from Mr Parreaux tells us he had 20,000 clients when the financial regulator
shut him down in 2023. How many of those 20,000 clients could have been saved
if the bar association and FINMA had acted two years earlier in 2021? They_knew
and_they_failed_to_protect_the_public_and_small_businesses.


In every other industry, ethical disputes such as this can be escalated to the
judiciary. For example, if there are disputes about a doctor or an airline
pilot, they may initially resolve the matter within a professional body or they
may escalate the dispute into the courts. The legal profession is unique in
that it is the only profession that regulates itself. If lawyers can not
resolve misconduct within their own ranks, there is no other profession who can
come in and do it for them.


The only example that is remotely similar is that of the Catholic Church, where
they decided they could ignore national regulations about abuse and investigate
the complaints under Cannon Law. They even published the Crimen
Sollicitationis, their own secret Code of Conduct for investigating abuse.
Crimen Sollicitationis tells bishops that abuse cases should be kept hidden. We
see exactly the same thing in Switzerland where FINMA published a verdict that
redacts the names of the rogue lawyers so clients would be unlikely to ever
find it.


 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇FINMA, Parreaux Thiébaud & Partners, Justicia SA, Justiva
                            SA, Mathieu Parreaux⦈


While concern about the integrity of the Swiss legal profession is a
significant factor in my decision to cancel the trademark, I want to emphasize
one other point from the attempts to censor various web sites using the UDRP.
In each of the censorship cases, aggressors have argued that independent web
sites run the risk of tarnishing the trademark. In the case of Debian, I can't
think of anything that tarnishes the trademark more than the repeated deaths of
volunteers, including the volunteer who resigned_to_commit_suicide_on_the
Debian_Day_anniversary and in the middle of the 2023 legal vendettas, in the
middle of the Debian annual conference DebConf23, another_volunteer_died_in
avoidable_circumstances. Given the enormous damage that these avoidable deaths
do to both the brand and the community, it feels absurd to spend money fighting
over whether some independent web site has tarnished the trademark too.


If you have registered domain names containing the Debian trademark then it is
recommended that you seek advice about whether your web site content meets the
criteria_for_legitimate_interests_under_the_UDRP or similar fair use frameworks
that apply in your jurisdiction. The_judgment_about_the_Scientologie.org_domain
name provides an interesting example where the right of copyright interests was
deemed to be superior to the trademark rights. As all Debian Developers have
copyright interests in our work, the Scientologie.org precedent gives us a
strong defence against malicious UDRP cases.


From a practical perspective, if the Scientologie.org precedent authorizes
legitimate interest and fair use web sites using the Debian domain name then it
feels wasteful to spend large amounts of time and money arguing over which
authors can have a trademark registration.


The ball is now in Jonathan Carter's court to decide whether he wants to
continue vendettas into 2024 or whether he wants to use the Christmas season as
an opportunity to bury the hatchet and stop attacking my family and I. Rogue
elements of the Debian community began attacking my family at a time when I
lost two family members. It reflects something uniquely bad about Debian
culture and leadership. █




⣿⣿⣿⣁⣻⣉⣉⣉⣟⣟⣸⣏⣉⣘⣩⣇⣉⣹⣉⣉⣉⣈⣈⣩⣉⡏⣅⣩⣉⣍⣋⣉⣻⣉⣹⣬⣻⣿⣿⣿⣻⣸⣋⣈⣯⣉⣩⣈⣩⣋⣉⣉⣃⣉⣇⣍⣉⣈⣉⣍⣩⣹⣉⣽⣟⣉⣹⣏⣉⣏⣇⣉⣩⣉⣿⣿⣿⣿
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                    ䷩ 𝚕𝚒𝚗𝚎 176

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

(ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/02/23/IRC_Proceedings_Thursday_February_22_2024.shtml
    Gemini version at gemini://gemini.techrights.org/n/2024/02/23/IRC_Proceedings_Thursday_February_22_2024.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ IRC Proceedings: Thursday, February 22,
2024⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Feb 23, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Night_Wolf⦈_


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


                                              #techrights_log                                                                                           #boycottnovell_log


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


                                         #boycottnovell-social_log                                                                                        #techbytes_log


===============================================================================
The corresponding text-only bulletins for_Tux_Machines and for_Techrights
contain all the text.


                          Enter_the_IRC_channels_now




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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⡿⠛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣼⡿⠛⠋⠉⠉⠉⠁⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⢀⣠
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣴⣶⣶⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠘⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠁⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠁⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣵⣄⡀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠟⠛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⡀⠀⠐⠿⢿⣿⣿⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠋⠉⠁⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣥⣤⣤⣤⣤⣤⣴⣤⣤⣤⣤⡄⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⠀⠀⠀⠀⢀⣶⣶⡄⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿
⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡀⣠⣴⣾⠁⣶⣿⣿⣿⣷⡄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠉⠻⠇⠛⠛⠛⠓⠈⠉⠉⠉⠁⠀⠀⠀⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣶⣶⣾
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⣀⣀⣀⣀⣤⣤⣶⡀⠀⠀⠀⢀⣴⣿⣿⣿⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣎⣀⢀⡀⠀⠀⠈⠈⠉⠙⠋⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣀⣀⣀⣠⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⣀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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                    ䷩ 𝚕𝚒𝚗𝚎 398

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

(ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/02/23/Josef_Kratochvil_and_All_the_European_Patent_Organisation_s_Chi.shtml
    Gemini version at gemini://gemini.techrights.org/n/2024/02/23/Josef_Kratochvil_and_All_the_European_Patent_Organisation_s_Chi.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Josef Kratochvíl and All the European
Patent Organisation's Chiefs (at the Administrative Council Too) Notified That
Over 1,000 Members of Staff Demand Action on Patent Quality and Compliance
(Industry Too is Alarmed That Many Invalid Patents Get
Granted)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Feb 23, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Letter⦈_


THE Central Staff Committee of the understaffed EPO wrote to the so-called
'boss' (more like partner in crime) of António_Campinos.


It is a 10-page_publication that includes 3 annexes, all of which covered here
before (Annex_1, Annex_2, Annex_3; some coincide with the General_Assembly and
one is a decade old!).


We shall focus on the new bits, dated earlier this week.


The Central Staff Committee wrote this message to staff:


     § Putting back quality on the agenda of the EPO: Open letter to the
     Administrative Council⠀➾


     Dear Colleagues,


     Staff of the European Patent Office gathered in hybrid General
     Assemblies in Munich on 24 January, in Berlin on 31 January and in
     The Hague on 6 February 2024.


     A resolution on objective setting and quality was put to a vote and
     supported by an overwhelming majority: among the 1523 attendees, 1088
     voted in favour, 31 against and 66 abstained. The outcome confirms
     the view that EPO management instrumentalizes the career and
     performance system to put pressure on staff to produce quantity at
     the expense of quality of the final products. Such policies result in
     low level of staff engagement, high incidence of psychosocial risks
     and mounting criticism from the industry on patent quality (IPQC).


     Following the adoption of the resolution, Mr Beat Weibel, Chief IP
     counsel at Siemens and founder of the IPQC, told Managing IP (PDF
     article): “We feel now there is an informal coalition between the
     users of the [EPO] system and those executing the system.” Mr Jorge
     Thomaier, Head of IP at Bayer, noted that “This message is loud and
     clear for the EPO management – they should first talk to their staff
     and then take our (industry members’) help to improve targets,
     incentivisation, and in the end, the quality of the patents.”


     In this letter to the Administrative Council, we urge the Member
     States to exercise their supervisory role and instruct EPO management
     to enter into dialogue with the staff representation and to put in
     place the measures supported by staff in the resolution.


     Sincerely yours,


     The Central Staff Committee - CSC


The new part of the letter tells the Administrative Council something it
already knows but chooses to ignore because Campinos bribes for complicity, as
noted here in 2022 and in 2023. It's a huge pile of corruption, more fitting
for Russia than for Europe.


Here is the body of the letter in full:


     European Patent Office
     80298 Munich
     Germany


     Central Staff Committee
     Comité central du personnel
     Zentraler Personalausschuss


     centralSTCOM@epo.org


     Tel. +49 -89- 2399 - 2120


     Reference: sc24013cl


     Date: 19.02.2024


     European Patent Office | 80298 MUNICH | GERMANY


     To the Chairman and
     The Head of Delegations
     of the Administrative Council
     of the European Patent Organisation
     Mr Josef Kratochvíl


     By email


     OPEN LETTER


     Putting back quality on the agenda of the EPO


     Dear Members of the Administrative Council,


     Staff of the European Patent Office gathered in hybrid General
     Assemblies in Munich on 24 January, in Berlin on 31 January and in
     The Hague on 6 February 2024.


     A resolution on objective setting and quality (Annex 1) was put to a
     vote and supported by an overwhelming majority: among the 1 523
     attendees, 1 088 voted in favour, 31 against and 66 abstained. The
     outcome confirms the view that EPO management instrumentalizes the
     career and performance system to put pressure on staff to produce
     quantity at the expense of quality of the final products. Such
     policies result in low level of staff engagement, high incidence of
     psychosocial risks and mounting criticism from the industry on patent
     quality (IPQC).


     Back in 2015, the EPO had initiated a project “Closer contacts with
     major applicants” to foster a better “esprit de service” (Annex 2).
     Among the companies selected at the time were companies which have
     now become members of the Industry Patent Quality Charter (IPQC) and
     are among the top proprietors of Unitary Patents1. Since 2022, these
     companies express their concerns on the decrease in substantive
     quality of EPO granted patents. They bring arguments, data and
     propose working groups to improve our patent system.


     _____________


     1 “Statistics and trend centre: Requests for unitary effect”, EPO
     website


     =====================================================================
     However, this time, EPO management closes its door and denies any
     quality issue without justification (see overview of events2 in Annex
     3).


     Following the adoption of the resolution, Mr Beat Weibel, Chief IP
     counsel at Siemens and founder of the IPQC, told Managing IP3: “We
     feel now there is an informal coalition between the users of the
     [EPO] system and those executing the system.” Mr Jorge Thomaier, Head
     of IP at Bayer, noted that “This message is loud and clear for the
     EPO management – they should first talk to their staff and then take
     our (industry members’) help to improve targets, incentivisation, and
     in the end, the quality of the patents.”


     We can only urge the Administrative Council to exercise its
     supervisory role and instruct EPO management to enter into dialogue
     with the staff representation and to put in place the measures
     supported by staff in the resolution.


     Yours sincerely,


     Derek Kelly
     Chairman of the Central Staff Committee


     List of annexes:
     Annex 1 Resolution adopted on objective setting
     Annex 2 “Closer contacts with major applicants”, DG1 Note of
     16.02.2015
     Annex 3 “50 years EPC: The EPO ignoring the skilled person”, CSC
     paper of 19.01.2024


     cc.: Mr A. Campinos; President of the EPO


     ____


     2 “50 years EPC: The EPO ignoring the skilled person”, CSC paper
     (sc24001cp), 19- 01-2024 [ANNEX 2]


     3 “EPO staff vote through resolution urging quality control”,
     Managing IP, 08-02- 2024


Our expectation is that they won't even bother to respond but now that it's on
the record that they were duly informed they cannot say some time later, "oh,
we didn't know..." █


                    🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Board 28 E-meeting⦈




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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⣿⣿⣿⣿⣿⣿⣿⣿⡇⣸⣿⣿⣿⣿⣿⣿⣿⣿⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢹⣿⣿⣿⣿⣿⣿⣿⣇⣹⣿⣿⣿⣿⣿⣿⣿⡏⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⡟⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣿⣿⣷⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠉⠖⠒⠒⠒⠒⠒⠒⠒⠀⢅⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠡⠒⠂⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⣙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣭⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⣻⠿⣿⣿⡿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⠛⠉⠙⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠋⠉⠛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢀⠀⣀⢀⣀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⠀⣀⣀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠉⠀⠀⠀⣉⡻⢿⡻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢸⣿⣿⣦⣹⡆⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣤⣿⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⡿⠁⠈⢋⡿⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⣿⣿⣿⣿⣿⣿⣿⡏⠉⠀⠀⠀⠀⢇⠙⠁⣩⠃⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡀⢀⣾⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⢸⣷⣴⡇⠀⠀⠀⠐⢤⣈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⢦⣼⣿⡇⠀⠀⠈⠛⠛⢿⣿⣿⣿⣿⣿⡿⣛⡍⡁
⣿⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⢸⡿⢟⣃⣀⣀⣀⣀⣀⣙⣷⣦⣍⣉⣉⣉⣛⣛⣛⡛⢿⣿⣿⣿⣿⣿⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠶⠀⣿⡿⠀⠀⠀⠀⠀⠀⠸⠿⣿⡿⠛⠉⠀⠁⠉⠃
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢱⣿⣿⣿⣟⣿⣿⣿⣿⣟⣿⣟⣿⣿⣿⣿⣿⣿⣿⣧⢹⣿⠿⠿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢭⡀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⣠⡄
⣿⡧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡈⠃⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡴⠀⠀⠑⠢⣤⣀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⣿⡇
⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡇⠈⠐⠠⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡾⣿⣿⣿⣿⣿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣤⠙⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣟⣿⣻⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡿⣿⣿⣿⣷⣿⣶⣿⣿⡿⣿⡷⣿⣿⣿⣿⣷⣿⣿⡇⠀
⠀⠒⠒⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⠿⠿⠷⠿⠿⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠂⠒⠐⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢀⢀⣀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣠⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠁⠀⠀⠀⣠⡛⢿⡛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣧⣹⡆⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣤⣿⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⠀⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⡟⠁⠈⠊⠟⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣧⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠸⠿⢿⣿⡇⠀⠄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⣿⣿⣿⣿⣿⣿⣿⠏⠁⠀⠀⠀⠀⢇⠉⠁⣩⠃⠀⠀⢄⡀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡀⢀⣼⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⢸⠷⠼⠇⠀⠀⠀⠀⠈⠛⣶⣭⣙⣻⣟⣿⣻⠿⠿⠿⠿⠿⢿⣿⣿⣿⢸⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⢢⣾⣿⡇⠀⠀⠈⠙⠛⢿⣿⣿⣿⣿⣿⣿⣛⢭⡁
⣿⠛⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠖⠀⣿⡟⠀⠀⠀⠀⠀⠀⠘⠿⢿⡿⠛⠉⠀⠀⠉⠃
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣶⣿⣿⣿⣷⣿⢿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣾⣷⣿⣿⣿⣿⡄⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢥⡄⠈⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⣠⡆
⣿⡧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⢠⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣬⣿⣶⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⣿⠇
⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⡿⡿⡿⡿⣿⣿⣿⡇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣿⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣟⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⡷⣷⢿⢷⣿⣿⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀
⠀⠐⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 710

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

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⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Meme] Hide the
Bodies⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Feb 23, 2024


 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Hitler Downfall: Tell her my dog ate the body; 2 years of
             this mess, hiding EPO's role in funding Lukashenko⦈


Based on a true_story.




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

                    ䷩ 𝚕𝚒𝚗𝚎 1570

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

(ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/02/23/Microsoft_Lacks_a_Solid_Strategic_Plan_Other_Than_Buying_Its_Ow.shtml
    Gemini version at gemini://gemini.techrights.org/n/2024/02/23/Microsoft_Lacks_a_Solid_Strategic_Plan_Other_Than_Buying_Its_Ow.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Microsoft Lacks a Solid Strategic Plan
Other Than Buying Its Own Stock (and Paying Staff in
Shares)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Feb 23, 2024,
updated Feb 23, 2024


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


There's no_such_thing as "AI chip"; it's pure hype or a new slant/spin/dig on
processors with task-specific accelerators/execution channels/paths (not
unprecedented at all)


THE rumours, gossip or words coming through the grapevine are not just that
salaries at Microsoft aren't being increased (despite inflation). That much is
publicly known. The same is true for the layoffs. Shares as "compensation" or
salary is another hairy ball because any company can just "mint" some "shares"
- it's a lot like fakecoins and it helps exaggerate worth where none exists
(see WeWork, OpenAI, Reddit, VICE Media and many others where "value" was set
at billions of dollars before insolvency or despite never making any money,
only losing money).


Evil tongues say all those companies were doomed from the start. Burning lots
of money is not a viable business model. Reddit is now gutted_for_its_data_and
offloaded. It's an exit strategy, not a success story.


Welcome to modern economics, where many companies simply exist at the expense
of the taxpayers (usually national debt, i.e. collateral deficit,
'crowdfunding' at a national scale with "stimulus"/"bailout") or, in most
cases, some pyramid schemes in Wall Street - or equivalent - providing an
inflow of cash, derived purely from speculation before or until the "chain
reaction".


Yesterday we saw that Microsoft has "hardware_company"_ambitions despite a very
awful track record. Puff_pieces_aplenty won't make it work this time around;
it's all hype, just like the chatbots. An associate has called_this "more
Wintel duopoly", but this time around Intel is in trouble (it has its own
problems) and it cannot salvage Microsoft. We see no reason why this will not
fail like all the prior attempts at the same.


There's no way for Microsoft to financially gain here. There's no gain; beyond
the PR that is...


At the moment all those puff pieces about Alman and/or Microsoft wanting to do
"HEY HI" (AI) chips help keep chatbots in the headlines a little while longer,
distracting from loads of negative publicity the chatbots have received so far
this year. The sobering testaments now include ChatGPT malfunctioning entirely
(earlier this week).


There's_no_promising_future_for_chatbots because their quality is too low for
people to pay for them and LLMs are extremely expensive to build and to use.
When the chatbots bubble "pops", so will the "AI chips" frenzy. NVIDIA is
exaggerating its sales this month; it isolates server side sales (still a
minority) to make the growth seem very big.


Beware and be cautious of bubbles. Remember "metaverse", "Web3, "blockchains"
and Apple's_latest_piece_of_expensive_garbage (with very high return rates
reported already). █


"Microsoft, the world’s most valuable company, declared a profit of $4.5
billion in 1998; when the cost of options awarded that year, plus the change in
the value of outstanding options, is deducted, the firm made a loss of $18
billion, according to Smithers."


                                                          --The_Economist,_1999




⠀⢰⡄⠈⣧⠀⢻⡆⠘⣷⡀⢻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠀⠀⠀⠀⠀⠀⢸⣿⣿⣀⠀⠀⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⠷⠎⠉⠉⣀⣠⣤⡺⣿⣿⣿⠷⠎⠉⠉⣀⣠
⡆⠀⢳⡀⠘⣧⠀⠻⠄⠘⠓⠀⠉⢻⣷⣿⣿⠗⠀⠂⠀⣲⢒⡁⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⣸⣿⣿⣿⣄⣾⣿⣿⣿⡄⠀⠀⠀⠀⣷⡀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⠀⠀⠰⣮⡙⢿⣿⠿⠛⠂⢁⣀⣤⣴⣶⣝⠻⣿
⠻⠄⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⠳⠀⠠⢿⣧⣸⣿⣄⠀⠀⠀⠀⠀⣿⣶⣾⣁⠈⢿⣿⡟⠛⢻⣿⣿⣿⣿⣿⠆⠀⠀⢠⣏⣹⣶⣶⠒⠒⠺⠦⠀⠀⠀⢀⣠⣦⣄⠚⠋⠁⢠⣤⣴⣾⣶⣍⡻⠿⠟⠋⠁⠀
⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣮⣿⡄⠀⠀⣸⣿⣿⣿⢿⣶⣤⠄⢐⣺⣿⣻⣿⠉⢀⣀⣼⣷⣄⣸⣿⣿⠋⠁⠀⠀⠀⠀⣼⣿⣿⣿⣷⡶⠦⢤⣄⣀⣠⡀⠾⢛⡟⠉⠀⠀⠻⣷⣍⠻⠿⠛⠉⠀⡀⢤⣶⣾⣿
⠉⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣆⣩⣥⣥⣦⠄⠛⠉⣩⣶⢶⠟⠻⣿⣿⣿⣿⣿⣌⣩⣏⣽⢿⣿⣿⣿⣿⣿⠀⠀⢀⣸⣿⣿⠏⣱⣿⠿⢟⡋⢀⣀⣠⣤⠈⠁⠀⠀⠀⣴⣤⢶⣤⠋⠁⣀⠠⣶⣾⣿⣿⣦⡝⠿⠛
⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⢠⣀⡀⠙⣿⣿⣿⣿⠶⣶⣿⣿⣷⣠⣤⣶⣿⣿⣿⣿⣿⣿⡿⣿⣿⡙⣿⣿⣿⣿⣯⣿⣿⣿⣷⣤⡄⣀⡀⠄⠠⠾⠿⣿⣿⡟⠿⠶⠀⠈⢃⠐⠈⢽⠇⠁⣄⠀⠙⣿⣦⠙⠟⠋⠁⣀⣀⠲
⠀⠀⠼⠇⣀⡠⢄⡀⠀⠀⠀⠾⠛⠐⡛⢿⣿⣿⣿⡜⠋⠉⢽⣶⣾⣛⣿⣿⣿⣿⣿⣿⣧⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣦⡙⠀⣈⣿⣇⠀⣀⣟⠈⣁⠖⢀⡀⠀⠂⠀⠑⠠⠉⢀⣀⡲⣶⣿⣿⣿⣷
⠀⠀⠀⢿⣜⠥⠔⣿⣿⣅⠀⠀⠀⠀⠀⠈⣭⣶⡞⠙⠦⠄⠚⠙⣿⣅⣼⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠉⠙⢿⣿⣿⣿⣿⡏⢻⣿⣿⣿⣿⣿⣿⡟⠑⠦⡸⠆⡉⠑⠀⠀⠐⠂⢀⣄⠀⠙⢿⣦⠙⠛⠋⠁
⠀⠀⢴⣿⣿⣧⣼⣿⠟⡿⣶⣤⣀⡴⣤⣾⣿⣿⠿⠀⠠⣀⣠⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠉⠁⠀⠀⣀⣀⠀⠀⠀⠻⣿⣛⣽⣧⣸⣽⣿⣿⣿⣿⣿⠃⡓⠀⠠⣄⣁⡐⢂⣀⠀⠀⠉⠛⠳⣶⠉⠀⣀⡐⢶⣿
⠀⠀⠾⠛⠛⣭⡽⣿⡟⠚⠛⠁⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠉⠁⠀⠀⣀⣠⣤⣴⣾⣿⣿⣿⣿⣆⠀⠀⠘⢿⣿⡿⢿⣿⡟⢧⡙⢯⣿⣷⣀⠀⣐⣭⠀⠈⡽⢁⠂⠀⠀⠀⠀⠀⠀⠀⠉⢻⣦⡌
⣀⠀⠀⢀⣀⣼⣿⣿⡷⢀⠀⠀⡾⢿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠹⣿⣿⣿⣷⣦⣝⣤⣾⣷⡾⠹⠟⠛⠲⠞⢿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠁⢀
⠟⠁⣿⣿⣿⣿⣿⣿⡤⠄⠒⣠⣶⣿⣿⣿⢿⣿⣿⣿⣷⡈⢻⣿⣿⣿⣿⡄⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⢔⠂⠤⡤⠀⠀⠀⠀⠙
⣶⣦⣽⠿⠛⠋⠉⢸⣿⡚⣤⡔⣺⣟⣻⣿⣎⣛⣩⡤⣾⢷⣎⢿⣿⣿⣯⢿⣆⠀⠀⠀⠈⢿⣿⣿⣿⣿⠿⣿⣿⠿⠿⠋⠁⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣟⢷⢄⠀⠀⠀⠀⠀⠀⢤⡀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀
⠙⠻⠟⠲⣦⣤⣶⣾⣿⣿⣿⡧⠘⠛⠋⠅⢿⣿⣿⢳⣿⣿⣷⡄⠻⣿⡿⠟⢻⣦⠀⠀⠀⠈⢿⡿⠗⠁⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⠿⢛⣫⣼⣿⣿⣿⣿⣆⠱⣅⡀⣀⠠⠐⡂⣽⠙⢄⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀
⣠⣴⣦⠘⣿⣿⣿⣿⣿⢿⣟⢿⢄⣀⡀⢴⢇⢻⡜⢿⣿⣿⣿⣿⡄⢠⣶⣾⣷⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⠾⢟⣋⣥⣶⣿⣿⣿⣿⡿⠟⠛⠉⠈⠀⡈⢿⣿⣶⣶⢃⠛⠀⣴⣵⣤⡿⣅⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣧⠘⠛⠋⠁⠀⣈⣿⣯⣇⡀⣾⣿⠛⠂⢡⠈⠻⠟⠉⣿⣿⣇⢻⣿⣿⣿⣿⣷⡀⠀⠀⢀⣠⣤⣶⡿⢟⣋⣭⣀⣀⠹⣿⣿⣿⠿⠛⠉⠁⠀⠀⣀⣴⣤⠔⠂⠉⠑⢿⣿⣿⣿⣴⣽⡛⠋⠳⣝⠑⠒⠀⠀⠀⠀
⠛⠋⠉⠀⣀⢘⣿⣾⣿⣿⣿⣿⣿⡿⣿⣤⣀⣀⡀⡰⠄⠀⢹⢿⣿⣿⡿⢻⣿⣿⣿⣟⠿⢿⡿⠿⣛⣭⣶⣾⣿⣿⣿⣿⡿⠧⠈⠁⠀⠀⠀⢀⣰⣶⣿⣾⣿⣽⣦⡀⣀⡤⠒⠛⢿⣏⠉⠉⣡⣈⠛⠛⠣⡀⠀⠀⠀⣠
⣀⣤⣶⣾⣿⣆⢻⣿⣿⣿⠿⠟⣯⣕⣿⣯⣿⣿⣿⣿⡚⣭⣼⣿⣿⣿⣿⡇⢻⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⠿⠛⠉⠁⢄⣴⣤⢠⠀⠂⠈⠀⢹⡉⠻⡿⠟⢋⣿⣿⣆⠀⠀⣀⣬⣿⡗⣿⣿⣍⣱⠀⢀⣨⣦⠀⠻⣿
⣿⣿⣿⣿⣿⡿⠎⠉⣉⡀⣀⣠⣼⣿⣿⡇⢸⣿⣼⡿⢿⣯⠽⣻⣿⣿⣿⣷⡄⠹⣿⣿⣿⣿⣿⡿⠟⠛⠉⠀⠀⠀⣴⡾⠜⣻⣿⣿⣷⡀⠖⡊⢥⣞⢦⢶⠘⣌⢻⣿⡿⢷⣴⡿⣯⣽⣿⢣⣀⣉⡉⠐⢿⣿⣿⣧⡀⠈
⠻⠟⠛⠉⠀⠀⣠⡄⣿⣿⣿⣿⣿⣿⣿⣇⠀⠉⠁⠀⠈⠘⣽⣿⣿⣿⣿⡿⣿⡄⠈⠉⠉⠉⠁⠀⢀⠀⠀⢀⠠⢘⣧⡐⠽⠛⠃⠼⢿⣿⡽⠞⠋⠁⠀⠐⢿⡟⠉⠁⠀⠀⠙⣕⣬⣉⠱⣾⣿⣿⣷⣄⠀⠙⢿⣿⣿⣆
⠀⢰⣤⣴⣾⣿⣿⣿⡜⣿⣿⣿⡿⠟⢫⣷⡀⠀⠀⢀⣾⠁⠈⠟⠛⠉⠁⠀⢸⣿⣖⡒⡀⠀⠀⢀⣀⣷⡤⢶⣿⣿⣿⣿⣌⣁⣤⣶⣿⣿⡄⠀⠀⠀⠀⠀⠀⠻⣦⠀⡀⢠⣶⣿⣿⣿⣄⠈⠻⣿⣿⣿⣧⡀⠀⠙⢿⣿
⣆⠘⣿⣿⣿⣿⣿⣿⠿⠈⢉⣀⣀⣠⣴⣿⣿⣿⣿⣿⣿⣄⠀⠀⢀⡠⣴⣾⣿⣿⣿⣿⣿⣤⣾⠿⠟⠋⢿⡌⠉⣈⣁⣴⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⢀⣶⣿⣿⣿⡆⠙⢿⣿⣿⣿⣧⡀⠘⢿⣿⣿⣿⣄⠀⠀⠙
⣿⡄⠘⠿⠛⠉⠁⠀⣠⣤⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣌⣁⣤⢿⣿⣷⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⣻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣶⣶⣶⠈⢿⣿⣿⣿⣿⣆⠀⠻⣿⣿⣿⣿⡄⠀⠈⠻⣿⣿⣦⠀⠀
⠋⠁⠀⠀⣤⣤⣴⣾⣿⣿⣯⢻⣿⣿⣿⡿⠿⢻⣥⣿⣿⣿⣿⣟⢻⣿⣶⣿⣿⡁⠀⢹⣿⣿⣿⣄⣠⢴⣾⣿⣿⣯⠹⠛⠛⠿⠿⠿⣿⣟⡉⢻⣿⣿⣿⣿⣷⡀⠙⢿⣿⣿⣿⣧⡀⠈⠻⣿⣿⣿⣆⠀⠀⠈⠻⢿⠃⠀

                    ䷩ 𝚕𝚒𝚗𝚎 1684

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

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⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Microsoft's Pearls of Wisdom: Layoffs Are
Growth⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Feb 23, 2024,
updated Feb 23, 2024


Microsoft boss: layoffs are "long-term growth." Gamers aren't buying this
nonsense.


Today:


    🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Xbox’s Phil Spencer insists Microsoft’s mass-layoffs
                   position it for future growth, somehow⦈


The_other_day:


 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Phil Spencer: Xbox layoffs will ensure company has 'enough
                       of the right people' to succeed⦈




⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⣠⠤⠤⣄⡀⠀⠀⠀⢀⣀⡤⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢀⡾⡫⠂⠉⠉⠐⢝⠢⠤⠴⡫⠒⢉⣉⠐⢍⢷⡄⣰⠟⣛⡂⢀⣾⣆⠀⣿⣆⣠⣿⢸⣟⣛⠃⣿⠛⣦⢼⣛⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣾⢱⢠⣦⠉⢠⡆⠀⡆⠀⢠⠁⣴⡌⠉⣴⡄⡏⣷⠹⢦⣽⠇⡾⠓⠻⡆⣿⠘⠋⢿⢸⣯⣭⡄⣿⠛⣧⢴⣭⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢻⣎⢄⠁⠒⠀⠁⡠⣁⣀⣀⢆⠀⠰⠶⠀⡠⣳⡟⢠⠞⣛⡂⣿⠛⣶⠀⣰⣷⡀⢸⡟⠳⡄⣾⣛⡛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠻⢷⣥⣖⣲⣭⡾⠋⠉⠙⠷⣭⣖⣲⣬⡾⠟⠀⠸⣦⣽⡇⣿⠛⣿⢰⠟⠚⣧⢸⣧⣴⠇⣿⣭⣥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠐⡂⣆⣦⠆⣶⣴⡖⠀⢀⠀⠀⠀⠀⠀⠀⡖⠠⡖⡆⠖⣖⢰⢢⡆⣶⡀⣆⡆⠖⣆⡖⠂⠀⡀⠀⠀⠀⠀⠀⡖⢴⠒⡰⡆⠂⡶⡐⢖⠀⢀⠀⠀⠀⠀⠀⠀⡶⠐⢶⠂⡰⡆⠖⣶⡰⡖⠀⠀⠀⠀⠀⠀⢒⡆
⠀⠀⠀⠈⠈⠈⠁⠀⠉⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠁⠀⠁⠁⠈⠀⠀⠈⠀⠁⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠁⠁⠁⠁⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠁⠁⠁⠁⠁⠈⠀⠀⠀⠀⠀⠀⠁⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿
⣿⢤⡀⣤⢰⡆⣀⠀⢀⣀⡀⢀⠀⣀⢠⠀⣀⣀⠀⠀⣤⠤⣄⢰⢀⡀⠀⡆⢰⡆⠀⢠⡤⢤⠀⡀⣀⠀⠀⣀⡀⢀⣀⡀⠀⢀⣀⠀⣀⡀⠀⡀⡀⠀⢠⡄⣀⢀⡀⠀⣀⡀⢰⡆⢀⣀⢀⣤⡀⢀⣀⡀⠀⣿⣿⣿⣿⣿
⣿⢈⣿⡇⢸⡏⢹⡇⣿⠉⣿⠘⣷⡃⠀⠘⢯⣍⠀⠀⣿⠤⠟⢸⠋⣿⠀⡇⢸⡇⠀⢘⠷⢶⡀⣿⠉⡇⣾⠭⠿⢸⡏⢹⡆⡏⠉⢸⡯⠽⠀⡏⠁⠀⢸⡇⣿⠉⣿⠘⢯⣅⢸⡇⠿⣭⡈⣿⠁⠻⣭⡁⠀⣿⣿⣿⣿⣿
⣿⠚⠁⠛⠘⠓⠚⠃⠙⠚⠋⠘⠃⠓⠀⠐⠒⠛⠀⠀⠛⠀⠀⠘⠀⠛⠀⠃⠘⠃⠀⠘⠓⠛⠀⠿⠚⠃⠘⠓⠒⠘⠃⠘⠃⠛⠒⠈⠓⠒⠀⠃⠀⠀⠘⠃⠛⠀⠛⠐⠒⠋⠘⠃⠒⠚⠁⠙⠂⠒⠚⠃⠀⣿⣿⣿⣿⣿
⣿⢀⡀⠀⣀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⢀⠀⢀⠀⠀⠀⠀⠀⣀⡀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⣠⡄⠀⠀⠀⠀⣤⣤⣤⣤⣿⣿⣿⣿⣿
⣿⢸⢳⣸⢻⠀⣶⢰⡖⠂⣶⠖⢰⡖⢶⢠⣖⠒⢠⡖⢲⡔⣿⠒⢺⠖⠘⢰⣖⠒⠀⠀⣿⣧⣼⣿⢠⡖⢲⡆⣶⡒⠀⣖⠒⢀⣀⠀⡇⠀⢠⡖⢲⡆⣶⢰⡆⣴⠒⣦⢺⡗⠒⣿⠂⣶⡒⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⢸⠈⠋⢸⠀⡿⠸⣧⡄⢿⠀⠸⣧⡼⠠⣬⡿⠸⢧⡼⠃⢿⠀⠸⣤⠀⢠⣬⡿⠀⠀⣿⠘⠃⣿⠸⢧⢼⡇⣬⡽⠆⣬⡽⠀⠀⠀⣧⣤⠼⢧⢼⡇⠸⣾⠁⠿⣤⠟⠸⡇⠀⣿⠀⣬⡽⠆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⢰⠒⣶⢀⣀⣀⠀⣀⣀⠀⡃⣰⣆⢘⡃⢀⣀⣀⢀⣀⣀⡀⠀⢰⡆⣴⣄⠀⠀⣶⠒⠂⣀⣀⡀⣀⣀⠀⠀⣶⠒⢂⡀⢀⡀⣶⣀⢀⡀⢀⠀⣀⡀⣀⣀⡀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⢸⠒⠛⢸⡇⢸⡇⠛⢦⡀⡇⢸⡇⢸⡇⣿⠀⣿⢸⡇⢸⡇⠀⢸⡇⢸⡀⠀⠀⣿⠒⢸⡇⢸⡇⣿⠀⠀⠀⣿⠒⢸⡇⢸⡇⢿⠀⢸⡇⣸⠀⡇⠀⣿⠶⠇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠈⠀⠀⠀⠉⠉⠀⠉⠉⠀⠁⠀⠉⠈⠁⠈⠉⠉⠈⠁⠈⠁⠀⠈⠁⠈⠉⠀⠀⠉⠀⠀⠉⠉⠁⠉⠀⠀⠀⠉⠀⠀⠉⠉⠁⠈⠉⠈⠉⠉⠀⠁⠀⠉⠉⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⢀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⣤⠀⠀⠀⠀⠀⢀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⢠⣭⢸⡟⠃⣾⠛⡇⢻⢰⢷⣸⠛⣿⠃⣿⠛⣷⠀⠀⠀⠹⢦⣭⢰⡟⢻⡆⣿⠛⣷⠛⡇⣾⣛⣷⢸⡟⢻⠀⡟⢻⡆⢿⢸⣧⣾⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠹⠶⠟⠘⠇⠀⠻⠶⠇⠘⠿⠸⠟⠀⠻⠆⠿⠀⠿⢸⠂⠀⠸⠶⠞⠈⠷⠾⠃⠿⠀⠿⠀⠇⠹⠶⠶⠸⠇⠸⠀⠳⠾⠃⠸⠟⠸⠏⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⢿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⣽⣿⣛⣉⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣍⣻⣿⣻⣿⣿⣯⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⡄⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠛⠃⠛⠃⢸
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣌⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⢿⣿⠿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⣿⣿⣿⣿⣿⣦⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣻⢽⣿⣹⣟⣟⣟⣿⣿⣿⠀⢀⠽⠍⠀⠢⠀⠀⠀⠠⠄⠦⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⢸⣏⠀⢸⠃⢰⢴⢔⢰⢔⢔⢔⠠⠀⢸⣿⣿⣿⣿⣿⣿⣌⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢉⡹⣿⣫⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣾⣿⣦⣄⣀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣾⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣨⣏⣹⣯⣹⣝⣿⣿⣿⣿⣽⣿⣹⣯⣿⣿⣿⣹⣏⣹⣯⣽⣻⣿⣽⣿⣿⣸⣯⣿⣿⣿⣿⣏⣿⣍⣯⣹⣇⣿⣿⣿⣿⣋⣯⣿⣇⣿⣩⢻⣟⣿⣯⣿⣹⣇⣿⣸⣷⣿⣿⣅⣿⢿⣿⣹⡏⣿⣹⡿⣿⣏⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⢹⣿⣿⣻⣿⢿⣟⣛⡟⣷⣵⣻⣿⣿⣛⡟⣿⣿⣿⣿⢻⡿⣿⢟⣿⣿⣿⣿⣽⣿⣽⡟⢻⡛⡟⣿⣟⣻⢻⡏⣿⢿⣿⣿⣿⣿⣿⡟⡏⣿⡟⣿⢻⡏⣿⣿⣿⣿⡟⣿⣿⣿⣻⡛⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠻⡻⣻⢟⣿⣿⡛⣟⢟⡿⣻⣿⣿⣿⢻⣿⣿⣿⢿⡻⣟⢟⡿⣻⡟⣿⢻⣟⢿⣿⡿⡟⣻⢟⣿⣻⣛⣟⠟⣻⣿⢻⣿⣛⣿⣿⣿⣻⢟⣿⠻⡻⣿⡛⣟⢟⢻⡟⢟⢿⣿⡻⢟⢟⡿⢿⡻⢻⡟⢻⣻⣿⣿⣿⣿⣿⣿
⠿⠶⠷⠿⠾⠿⠷⠷⠿⠿⠿⠿⠷⠷⠿⠾⠿⠿⠾⠾⠷⠿⠾⠷⠿⠷⠿⠾⠿⠯⠿⠿⠧⠿⠾⠿⠿⠿⠿⠷⠿⠿⠷⠿⠿⠿⠾⠷⠿⠷⠿⠾⠷⠿⠷⠿⠿⠼⠷⠾⠿⠿⠷⠿⠾⠾⠿⠿⠷⠿⠿⠿⠿⠿⠿⠿⢿⣿
⣿⠿⡿⢿⠿⣿⣿⢿⠟⠻⡿⣿⢿⠿⡿⢿⢿⡿⢿⡟⣿⠿⡟⣿⢿⠿⡿⣿⣿⠿⣿⢿⢿⢿⢿⠿⣿⠿⡿⡿⣿⡿⡿⣿⢿⢻⣿⢿⢻⡿⡿⡿⣿⡿⡟⢿⡿⡿⣿⢿⡿⢿⢿⠿⣿⢿⡿⢿⠿⣿⠿⣿⢿⢿⢿⣿⢸⣿
⣿⣵⣯⣿⣬⣿⣽⣷⣧⣼⣹⣿⣼⣿⣧⣼⣽⣷⣼⣧⣿⣯⣿⣿⣽⣧⣶⣾⣿⣦⣏⣧⣷⣿⣼⣮⣿⣤⣿⣷⣼⣿⣶⣮⣼⣦⣯⣿⣸⣧⣷⣵⣿⣵⣧⣷⣼⣦⣿⣼⣧⣿⣿⣦⣷⣽⣿⣿⣇⣿⣬⣿⣼⣷⣶⣿⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿
⣿⣸⣶⣇⣸⣻⣧⣼⣐⣗⣺⣒⣿⣶⣇⣸⣐⣿⣺⣇⣭⣹⣳⣹⣆⣳⣘⣿⢸⣨⣭⣽⡅⣯⣨⣅⣿⣫⣯⣿⣀⣿⣸⣏⣸⣅⣭⣸⣷⣿⣸⣇⣿⣸⣀⣿⠒⣷⣗⣺⣳⣹⣺⣇⣿⣿⣸⣸⣇⣽⣂⣇⣸⣿⣿⣿⢸⣿
⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣋⣸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣛⣛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣒⣲⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣼⣤⣷⣬⣷⣿⣿⣦⣿⣵⣼⣧⣼⣄⣧⣼⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡟⢻⢿⡿⣿⡿⣿⠿⡿⣿⣿⣿⣿⣿⣿⣿⢟⣻⡿⣿⢿⣿⢿⡟⢿⢿⣿⢸⣿⣿⣿⢻⢟⣻⣿⣿⣿⣿⣿⣛⡟⣿⢿⡿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣷⣾⣶⣷⣾⣷⣿⣶⣷⣾⣾⣿⣿⣿⣿⣿⣷⣾⣶⣿⣾⣾⣶⣷⣷⣿⣿⢸⣿⣿⣿⣿⣷⣾⣿⢿⣿⢿⣿⣶⣷⣷⣾⣶⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠛⣛⢻⠋⠿⢿⡯⢽⢹⣿⡿⢛⡛⣿⢿⠿⣿⣿⠿⣿⡿⡿⢿⣿⡿⢿⣿⡿⠿⣿⢿⢿⢿⣿⣟⠻⠟⣻⠉⠿⢿⣿⠿⢿⡿⢿⡿⣿⣿⢹⡿⠿⠿⡿⣿⡿⢿⡿⢿⣿⠋⠿⠩⣿⠿⣿⣿⠿⣿⢿⡿⢿⢽⠋⡏⢹⣿
⣿⠀⣭⣼⠀⣿⠀⡇⢸⢸⣿⡷⢮⡍⣿⠰⡷⢸⠀⣿⢬⡇⣾⡆⣏⢸⡷⣏⢸⡧⢼⢰⣾⢾⣿⣿⢃⡸⣿⠀⣿⠆⡇⢾⠆⣹⢎⢸⣿⣿⢸⠀⣿⠀⣷⠸⢡⡏⢸⡇⢹⠀⣿⢸⡧⣝⢺⣿⣇⠋⡆⠇⣿⠸⠀⡇⢸⣿
⣿⣶⣿⣿⣶⣿⣶⣷⣾⣾⣿⣿⣶⣾⣿⢸⣶⣿⣷⣶⣿⣷⣿⣷⣿⣶⣾⣿⣷⣶⣿⣾⣿⣾⣿⣷⣾⣷⣾⣶⣶⣾⣿⣶⣾⣷⣾⣶⣿⣿⣾⣷⣶⣶⣿⢃⣿⣿⣶⣾⣿⣶⣿⣾⣿⣶⣾⣿⣿⣶⣿⣾⡟⣼⣶⣷⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣼⣿⣿⣿⣿⣿
⣿⡿⠿⢿⡿⠿⢿⡿⠿⢿⡿⣿⡿⣿⠿⢿⠿⠿⣿⣿⡿⠿⢿⡿⠿⢿⡿⠿⠿⠿⠿⣿⠿⠿⢿⡿⠿⠿⣿⠿⠿⢿⠿⣿⢿⣿⡏⠿⠿⣿⠿⠿⢿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣼⣿⣿⣿⣿⣿⣿
⣿⡠⠭⢬⡇⣿⡆⡷⠬⢙⡇⠿⠇⣿⢸⣯⠨⠥⣼⣿⡀⠿⢺⡀⠿⢂⡇⢸⡇⢸⡇⣿⠐⠿⢀⡅⠿⠃⣿⢸⣿⢸⣇⠋⣼⣿⡇⣾⡇⣯⠸⠿⢸⡧⠭⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣼⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣼⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣼⠟⣛⢿⡟⢛⠻⡿⢛⡻⣿⢻⣿⢻⡟⣛⠟⣿⢘⡛⢿⣿⡿⢛⠻⡏⢐⣿⡏⢙⡇⢟⠛⣿⢟⡛⢿⣿⡟⠛⡗⡿⢛⡻⢻⠀⣛⠻⡏⢙⣿⣿⠻⡛⢿⠟⣛⢿⡿⢛⠻⡟⠛⡛⢿⠀⡼⢛⠻⣧⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡐⠟⣲⡇⣿⡆⣇⠻⢃⣼⡘⢟⢸⣄⠻⡃⣿⢸⡇⢸⣿⣄⠻⢃⡇⢸⣿⣇⠸⡇⣿⡇⣿⡘⠗⣺⣿⡇⣿⡇⣇⠘⢏⢸⠀⣿⠀⣇⠸⣿⣿⢘⠟⣸⣄⠿⣲⣄⠻⢃⡇⠘⠟⠈⠀⣇⠻⢓⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣍⣥⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⣡⣼⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣇⣸⠏⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠀⣻⠟⣛⠻⣿⡟⢛⣻⡟⣿⡟⡿⢛⣛⡿⢛⣛⣿⢛⡛⢿⢛⣛⢻⠟⣛⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣄⣻⣌⣛⣰⣿⣏⣒⣨⣇⣛⣁⣧⣘⣋⣧⣘⣋⣵⣐⣒⣼⣐⣒⣼⣌⣛⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣏⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 1808

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

(ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/02/23/Over_at_Tux_Machines.shtml
    Gemini version at gemini://gemini.techrights.org/n/2024/02/23/Over_at_Tux_Machines.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Over at Tux
Machines...⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Feb 23, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇A_small_boat_anchored_in_the_bay_of_Danang,_Central
Vietnam.⦈_


⚓  Updated This Past Day⠀⇛


   1. ⚓ Extremadura,_Valencia_and_Catalonia_on_GNU/Linux_(English_Media_Does
      Not_Mention_This_or_Barely_Mentions_This) [original]⠀⇛


           GNU/Linux growing in Spain


   2. ⚓ KDE_Slimbook_V_Is_the_World’s_First_Linux_Laptop_to_Ship_with_KDE
      Plasma_6⠀⇛


           Linux hardware vendor Slimbook and the KDE Project announced
           today the KDE Slimbook V as the world’s first Linux-powered
           laptop to ship with the soon-to-be-released KDE Plasma 6
           desktop environment.


      ⚓  New⠀⇛


   3. ⚓ Ubuntu_22.04.4_LTS_(Jammy_Jellyfish)_Released_with_Linux_Kernel_6.5,
      Mesa_23.2⠀⇛


           Canonical released today Ubuntu 22.04.4 LTS as the fourth point
           release to its latest Ubuntu 22.04 LTS (Jammy Jellyfish) long-
           term supported operating system series with updated core
           components.


   4. ⚓ LibreOffice_7.6.5_Office_Suite_Is_Out_Now_with_More_Than_90_Bug_Fixes⠀⇛


           LibreOffice 7.6.5 is now available for download with more than
           90 bug fixes to improve the overall stability, security, and
           reliability of the LibreOffice 7.6 office suite.


   5. ⚓ today's_howtos⠀⇛


           longer batch than the earlier one


   6. ⚓ Programming_Leftovers⠀⇛


           Programming related stories


   7. ⚓ today's_leftovers⠀⇛


           GNU/Linux, Free software, and more


   8. ⚓ Switching_to_GNOME⠀⇛


           and why


   9. ⚓ Kernel_Space_(Linux)_and_Linux_Foundation_(Openwashing_Firm)⠀⇛


           Some Linux and Linux Foundation links


  10. ⚓ Security_Leftovers⠀⇛


           half a dozen links. Security focus.


  11. ⚓ today's_howtos⠀⇛


           half a dozen howtos or technical posts for now


  12. ⚓ Games:_Arcades,_Furnish_Master,_and_More⠀⇛


           7 stories about games


  13. ⚓ Android_Leftovers⠀⇛


           How to install Indus Appstore on your Android smartphone


  14. ⚓ Kirigami_Addons_1.0⠀⇛


           A new version of Kirigami Addons is out


  15. ⚓ Ubuntu,_Kubuntu,_and_openSUSE_to_get_better_installation⠀⇛


           Installation remains a pain point for many Linux distros


  16. ⚓ Here’s_what’s_new_about_the_Fairphone_4⠀⇛


           After receiving a lot of feedback from our community about
           their experiences with the camera


  17. ⚓ 11_Best_Free_and_Open_Source_Linux_Screencasting_Software⠀⇛


           The purpose of this article is to identify high quality open
           source screencasting software that makes it a breeze to create
           screencasts


  18. ⚓ Today_in_Techrights⠀⇛


           Some of the latest articles


      =========================================================================
      The corresponding text-only bulletin for Thursday contains all the text.


⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⢀⡀⢀⡀⢠⡤⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⣰⡿⠻⠿⠇⠀
⠀⠀⠀⠀⠀⠠⣄⠀⠀⠐⣦⣬⣀⣻⣷⠴⣶⠂⠲⠟⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠁⢀⣀⣨⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢠⡶⢋⣹⣶⣶⣾⣟⠂⠀⠀⠀⠈⠋⠰⠀⠂⠀⠀
⠀⠀⠀⠀⢠⣾⣿⣆⣩⣤⣼⣿⣿⣿⣷⣶⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣟⠻⡿⠍⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣀⠀⠀⠸⠻⠟⠟⠁⠀⢠⡾⠿⠂⠈⠀⠂⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠘⣷⣦⣀⠀⣴⣿⣿⢿⡤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠙⢿⠿⢧⡀⠀⢐⣾⣿⠃⠙⠛⣻⣂⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠸⠓⠬⢿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⣿⠿⠛⠋⠓⠀⠀⠀⠀⠀⠈⠁⠐⣾⣿⣿⣀⣆⣼⣿⣿⣿⣦⣤⣀⠀⠀⠀⠀⠀⠠⣤⣴⣾⠅⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣟⠛⣻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣀⣀⡀⠀⡀⠀⢺⣯⣀⠀⡄⠰⠂
⠀⠀⠀⠶⣄⢄⠀⠀⠀⠸⣏⣰⣿⠿⣿⣿⡟⠛⠻⣿⣿⣻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣀⡀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘⣿⣶⣿⣿⣿⣿⣟⣵⣠
⠰⢤⣤⡀⢻⣷⣵⣄⣀⣀⣀⣿⡿⠿⠶⢷⣼⣧⠀⣯⣿⠉⠿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣯⣴⣤⣹⣧⣤⣀⠀⠀⢀⡀⠀⠀⠀⠘⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⣿⣿⣿⣿⣝⣏⣹⡿⢻⣾⣾⣟⣠⠤⣀⢒⣞⣻⣿⣾⣤⡀⠀⠻⣿⣿⣿⣿⣿⣧⣤⣀⣾⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠘⠋⠀⠀⠀⠀⠀⠀⠈⠈⠘⣿⠛⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷
⠇⠈⠉⢛⠻⢿⣉⡋⠋⣨⢿⣷⣿⣿⣿⣾⣽⣿⣿⣿⣿⣿⣷⣾⣶⣿⣿⣿⣷⣶⣶⣿⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣾⣯⣀⣀⠀⠀⠐⠺⡿⢠⣆⡀⠀⠀⠀⠀⠁⢀⣀⠉⣿⣿⣿⡿⠙⢻⣿⣷⣿⣿⣿⣿⣿⣿⡛
⠠⠀⠀⠘⠿⣄⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⢿⣿⣿⣿⣇⡀⠀⢀⣄⣀⣹⣷⣶⡄⠀⠀⣀⣀⠀⠀⠘⠛⠩⢧⠄⠀⠈⠙⠿⠛⠘⠛⠋⠁⠐
⣶⣤⣤⣀⠀⡀⠈⠉⢻⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⡇⡠⢾⣿⣿⣿⣿⣯⡀⠀⠀⡛⠉⠁⡄⠀⠀⠘⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⡟⢿⢿⣿⣿⣿⣿⣿⣿⣆⠀⠰⠀⡽⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⠻⠿⠟⣻⣶⣶⣿⣤⣦⠀⠀⠀⠂⠁⢀⣄⣼⠧⠄⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣽⣿⣷⣦⣬⣄⠙⣿⣿⣦⠈⠟⠂⠀⠀⠀⢀⣽⣷⠇⠭⠀⠙⠙⠛⠁⠀⠀⠺⠋⠁⠈⠉⠙⠛⠀⠀⠀⠘⠃⣀⣯⣷⣿⣷⣶⣿⣶⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣶⣼⣋⣻⢤⣄⣡⠀⠀⠀⢼⣿⣥⡀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡤⠤⠤⠾⠿⠿⠿⠟⠀⠐⣒⣲⣶⣾⣿⣍⣴
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣭⣽⣿⣿⣿⣿⣿⣿⣿⡟⠋⠈⠉⠈⠉⠉⠉⠀⣀⣄⣀⣀⡀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠻⠿⠿⠛⠛⠛⠛⠉⠙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣶⣶⣦⣤⣦⣤⣤⠤⠐⠒⠐⠛⠛⠿⣿⡿⠟⠛⠛⠛⠛⠿⠒⠂⠀⠀⠀⠈⠛⠋⠙⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠉⠛⠉⠉⠉⠋⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣴⣶⣦⣤⣤⣤⣤⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣤⣤⠀⠀⠀⠀⠀⣤⣤⣤⣤⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢤⣤⣤⣤⣄
⠀⣀⠀⡀⠀⠀⠀⣀⣀⣀⣀⣠⣶⣿⣖⣺⣟⣿⣿⣿⣿⣿⣿⣿⣉⣉⣉⣛⣿⣿⣿⣟⣓⣻⣿⣿⣿⣭⡥⠀⠀⠀⠀⠀⣾⣿⣿⣷⣶⣖⣒⠚⠋⠁⠀⠀⠀⠀⠀⠀⡀⠀⣩⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣶⠶
⣀⣿⣽⠿⢿⡧⠤⣯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠃⠰⠿⠿⠿⠅⠀⠀⠀⠀⠀⠀⠋⠉⠉⠉⠀⠀
⠀⠘⠑⠒⠒⠒⠒⠚⠻⠿⠿⠗⠺⠿⠢⠷⠿⣿⣿⣿⣿⡿⢿⡿⠿⣿⣿⣿⣿⣿⣿⡿⠛⣿⣿⣿⡿⠿⠿⠛⠀⠀⠀⠨⢿⣿⣿⣿⣿⣿⠛⠚⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⣓⣻⣶⣾⣷⣾⡷⠼⣿⣿⣿⣿⣿⣿⡇⠀⣾⣿⣗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢿⣯⠀⠀⠀⠀⣵⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⠭⠭⠍⠉⠒⠒⠚⠿⢿⡿⠉⠀⠀⠻⠿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢈⡁⠀⠀⠀⠀⢾⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 1985

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Gemini Links 23/02/2024: Getting 'Sick' of
Modern Tech and Deletion of One's Reddit
Account⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Feb 23, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Ladybug_smile⦈_


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


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


          o § Personal/Opinions⠀➾


                # ⚓ 🔤SpellBinding_—_AGIRYVT_Wordo:_FUNGI⠀⇛


                # ⚓ Willow's_HDR_reviews⠀⇛


                       Last month's winter storm in the Pacific Northwest
                       was said to be one of the worst in recent history
                       (although, the December 2009 snowstorm that shut
                       down Portland for two weeks also comes to my mind).
                       Many areas in the Greater Portland area served by
                       Portland General Electric experienced a prolonged
                       power outage that lasted for more than a week.
                       Climate change seems to be creating events like
                       this with an increased frequency (there was another
                       big snowstorm in February 2021). With natural
                       disasters like this, awareness of preparedness
                       becomes a topic of popular conversation.


          o § Games⠀➾


                # ⚓ WotC_vs_Witches⠀⇛


                       I’ve said this before but I really wish WotC woulda
                       used the name “witch” not “warlock” for the class
                       in both D&D and MtG, with a note saying that “some
                       witches call themselves warlocks instead”. The 5e
                       PHB in 2014 woulda been a perfect time for this
                       change.


                       Magic had two arguments for why they went with
                       “warlock”. One, to match D&D. A good argument but
                       only highlights what a mistake 3.5 made when they
                       named their class. Second, to not offend real-world
                       witches. An argument that becomes super bad given
                       that they’re still using “witch” in card titles.
                       “Super creepy evil witch hag”. Class: Warlock.🤦🏻‍


          o § Technology and Free Software⠀➾


                # ⚓ this_post_was_powered_by_scenecore.⠀⇛


                       in recent years I've found myself with an
                       increasing hatred for the modern tech industry. I
                       became fascinated by Linux and then began to
                       realize just how fucked our reliance on big
                       companies was. I've always been somewhat of a
                       going-against-the-grain kinda girl (I actively
                       dislike popular music. I stick to indie games
                       mostly.) but with tech, it really goes up to
                       another level. I began taking active strides to
                       distance myself from companies like Google and
                       Windows, doing things like moving to Linux and
                       trying various browsers before settling on and
                       forever rooting for Firefox. okay, I'm not fully on
                       Linux. sue me. my daily driver is Windows, at least
                       until I can make the needed fixes and upgrades to
                       this PC and then I might move it to Linux. the main
                       limiting factor is gaming, which I do a LOT of (no
                       one needs to know the ungodly thousands of hours I
                       have in cookie clicker).


                # ⚓ More_Random_Things⠀⇛


                       The Common LISP random number generator, at least
                       in SBCL, is prone to spam perhaps excessive amounts
                       of state. This state is probably good if you're
                       doing long-running simulations where the RNG
                       repeating too soon would be bad, but for other use
                       cases, well, no news is good news.


                # § Internet/Gemini⠀➾


                      # ⚓ The_Stack⠀⇛


                             When I started this capsule, I was really
                             unsure if I would ever share it publicly. As
                             I mentioned in my first post[1], I needed a
                             place to write things where my actual name
                             wasn't attached. Yes, I could keep a journal
                             on paper, or in any number of offline
                             electronic formats, but I really enjoyed what
                             I was reading in other capsules, and felt
                             like I wanted to potentially contribute here.
                             By standing up a capsule, I got to play with
                             something new, and if someday I wanted to
                             share, I could.


                             [...]


                             I run a static site generator and my site is
                             strictly .html .css. and .png/.jpg's, so
                             wasn't worried about them finding anything to
                             exploit. But it definitely put me in a "screw
                             the web, and everyone abusing it" mood. And
                             this made me submit my capsule to different
                             Gemini directories. I'd rather share with
                             actual people here than with bots there.


                      # ⚓ Am_I_Going_to_Need_to_Delete_My_Reddit_Account,
                        Too?⠀⇛


                             Maybe it wasn't best to collapse every
                             individual forum into a section of a single
                             website.


                             In the steady parade of depressing news, it's
                             come to light that Reddit is planning to sell
                             access to its user content for, what else, AI
                             training. At least getting rid of my Reddit
                             account will be easy: I used it heavily for a
                             few years in the mid '10s, but it never had
                             any kind of shine for me, any lustre. It was
                             just where my community was, after people
                             migrated away from the small collection of
                             individual forums that served as a discussion
                             place before.


                             A few days ago, driving across the province
                             with my partner, we got talking about the
                             differences how we use the internet. I'm more
                             active, more of a creator; she's a lurker,
                             never posting, never making an account unless
                             absolutely forced to (the old online gf/
                             extremely offline bf meme in reverse). And we
                             got talking about Reddit, and how different I
                             find it from the forums I used to post on.
                             The example I gave her was a forum for the
                             sci-fi show Andromeda. Back in university,
                             one of my offline friends had invited me
                             there. Sure, why not? I didn't watch
                             Andromeda, have never even really been into
                             sci-fi, but who cares?


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





                    ䷩ 𝚕𝚒𝚗𝚎 2178

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 23/02/2024: 227 Microsoft Layoffs
Noted in Santa Clara and Disaster in Rivian⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Feb 23, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇1947_Chrysler_Vintage_Car_Collage⦈_


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * Leftovers
          o Science
          o Hardware
          o Health/Nutrition/Agriculture
          o Proprietary/Artificial_Intelligence_(AI)
          o Security
                # Integrity/Availability/Authenticity
                # Privacy/Surveillance
          o Defence/Aggression
          o Transparency/Investigative_Reporting
          o Environment
                # Energy/Transportation
          o Finance
          o AstroTurf/Lobbying/Politics
          o Censorship/Free_Speech
          o Freedom_of_Information_/_Freedom_of_the_Press
          o Civil_Rights/Policing
          o Digital_Restrictions_(DRM)
          o Monopolies/Monopsonies
                # Trademarks
                # Copyrights
    * § Leftovers⠀➾


          o ⚓ Ruben Schade ☛ You_don’t_need_to_be_a_professional_to_provide
            feedback⠀⇛


                 Recently I had a discussion with a friend who’s art was
                 stolen by a generative Hey Hi (AI) user, and regurgitated
                 onto online stores. She said it hurt, but that she wasn’t
                 “qualified to comment”, given her lack of IT education
                 and experience. I respected her caution; can you imagine
                 if everyone admitted their ignorance? Many politicians,
                 journalists, and managers would be out a job!


                 But I disagree with her premise for a simple reason. An
                 artist is a stakeholder (can you tell I’ve been writing
                 tenders and docs at work again)? Stakeholders are
                 integral to the success of any system, and their feedback
                 is vital to evaluating its performance, impact, and areas
                 for improvement. A layperson’s comments provide badly
                 needed context, and serve as a reality check. I know from
                 my own experience that IT engineers and talking heads are
                 easily blinkered by complexity and the shiny, and can
                 miss the forest for the trees. We all know of examples.


          o ⚓ New York Times ☛ Ship_Crash_Collapses_Part_of_Bridge_in_China,
            Killing_at_Least_2⠀⇛


                 Five vehicles plummeted from the crossing, part of which
                 collapsed, in the southern city of Guangzhou, the
                 authorities said.


          o ⚓ The Straits Times ☛ 2_die,_3_missing_after_ship_hits_Lixinsha
            Bridge_near_China’s_Guangzhou,_sending_cars_into_water⠀⇛


                 Rescue efforts are under way.


          o ⚓ YLE ☛ Lapland_hostel_fire_started_outside,_investigators_say⠀⇛


                 Two people died and one person is still missing following
                 the blaze at the 36-bed Silver Fox hostel in Äkäslompolo,
                 Finnish Lapland, last week.


          o ⚓ Hong Kong Free Press ☛ Hong_Kong_gov’t_vows_to_investigate_after
            2_construction_workers_die_following_bamboo_scaffolding_collapse⠀⇛


                 Two construction workers have died and three have been
                 injured after a section of bamboo scaffolding collapsed
                 on a construction site in Kai Tak. The scaffolding, which
                 was approximately 15 metres tall by eight metres long,
                 collapsed from the external wall of a new residential
                 building on Tuesday afternoon, Ming Pao reported.


          o ⚓ New Yorker ☛ Facebook_Marketplace_Through_the_Ages⠀⇛


                 Free. Wooden horse. Used, allegorical.


          o ⚓ LRT ☛ Lithuanian_police_looking_for_missing_teenage_girl⠀⇛


                 On Monday, 13-year-old Meda Stankevičiūtė went missing in
                 Vilnius. Her relatives first reported it on Facebook. By
                 Wednesday morning, the teenager has not been found yet,
                 but the police urge the public to not draw parallels with
                 the recent kidnapping case in Kaunas.


          o ⚓ New York Times ☛ Silicon_Valley_Venture_Capitalists_Are_Breaking
            Up_With_China⠀⇛


                 Under intensifying scrutiny from U.S. lawmakers, top
                 firms have pulled back from investing in Chinese start-
                 ups.


          o ⚓ Federal News Network ☛ The_Bureau_of_Prisons_and_the_challenges
            going_into_2024⠀⇛


                 The BOP has huge responsibilities in the care and feeding
                 of over 150,000 prisoners in its care and over 36,000
                 staff. It has an $8.7 billion annual budget and houses
                 some of the most infamous criminals in the United States.


          o ⚓ Federal News Network ☛ Contractors_on_edge_because_of_Pentagon’s
            proposed_buying_rules⠀⇛


                 Contractors are wary of the latest proposed rule giving
                 DoD access to their IT systems. It is part of an effort
                 to improve cybersecurity with incident reporting and
                 information sharing. Another rule would impose new
                 requirements on contractors unclassified systems.


          o § Science⠀➾


                # ⚓ New York Times ☛ U.S._Moon_Landing:_How_to_Watch_and_What
                  to_Know_About_the_Odysseus_Mission⠀⇛


                       If all goes as planned, Odysseus, a private
                       spacecraft, will touch down on the lunar surface on
                       Thursday. It will be the first U.S. moon landing in
                       more than 50 years.


                # ⚓ France24 ☛ Scientists_crack_mystery_of_how_baleen_whales
                  sing_underwater⠀⇛


                       Whales sing loud enough that their songs travel
                       through the ocean, but knowing the mechanics behind
                       that has been a mystery. Scientists now think they
                       have an idea, and it's something not seen in other
                       animals: a specialized voice box.


                # ⚓ Science Alert ☛ New_Data_Storage_in_3D_Using_Light_Could
                  Hold_a_Million_Movies_On_a_Single_Disc⠀⇛


                       Smaller, greener data centers?


                # ⚓ Science Alert ☛ The_Decimal_Point_Is_at_Least_150_Years
                  Older_Than_We_Thought⠀⇛


                       But it looks so young!


                # ⚓ Science Alert ☛ The_Mysterious_Case_of_The_Youngest_Person
                  Ever_Diagnosed_With_Alzheimer's⠀⇛


                       There's so much we still don't understand.


                # ⚓ Science Alert ☛ Watch_Live:_US_Spacecraft_Odysseus_Is_Set
                  To_Land_on_The_Moon!⠀⇛


                       Making history.


                # ⚓ Science Alert ☛ Microplastics_Invade_Ancient_Rock,_And
                  That's_a_Big_Problem_For_Age_Markers⠀⇛


                       Pollution seeps far deeper than we thought.


                # ⚓ Science Alert ☛ Space_Could_Pose_an_Unexpected_Threat_to
                  Our_Gut_Microbiome,_Scientists_Discover⠀⇛


                       A surprising hidden risk.


                # ⚓ Science Alert ☛ Bizarre_2,000-Year-Old_Bronze_Hand_Found
                  Covered_in_Mysterious_Writing⠀⇛


                # ⚓ Science Alert ☛ ADHD_Traits_May_Have_Evolved_to_Provide
                  Foraging_Advantages,_Study_Says⠀⇛


                       Could modern 'negatives' be largely circumstantial?


                # ⚓ Federal News Network ☛ Science_gives_a_boost_to_identifying
                  long-lost_military_members⠀⇛


                       DNA has long been used to identify human remains.
                       Such is the case at the identification lab operated
                       by the Defense POW/MIA Accounting Agency. Now some
                       new scientific methods have emerged called next-gen
                       sequencing.


          o § Hardware⠀➾


                # ⚓ Reason ☛ Biden_Pours_Out_Another_$6.5_Billion_for_the_CHIPS
                  Act's_Costly_Protectionism [Ed: Bailouts for the rich,
                  running up the debt ahead of the election]⠀⇛


                       It's part of the government's expensive public-
                       private partnership meant to address concerns over
                       a reliance on foreign countries, like China, for
                       semiconductors.


                # ⚓ Hackaday ☛ Power_Tool_Packs_Make_A_Portable_Powerhouse⠀⇛


                       The revolution in portable and cordless appliances
                       has meant that we now own far fewer mains-powered
                       gadgets than we might once have done, but it hasn’t
                       entirely banished the old AC outlet from our lives.
                       Particularly when away from a mains supply it can
                       be especially annoying, but now instead of a
                       generator there’s the option of an inverter. [Thijs
                       Koppen] has made a very neat all-in-one mains power
                       station in a plastic flight case using the
                       ubiquitous and handy standardized Makita power tool
                       packs.


                # ⚓ Tom's Hardware ☛ Intel_CEO_Pat_Gelsinger:_I_hope_to_build
                  chips_for_Lisa_Su_and_AMD⠀⇛


                       Intel CEO Pat Gelsinger told us he is willing to
                       build chips for anyone, including Lisa Su of AMD.


                # ⚓ Ruben Schade ☛ Pieces_of_8:_BMCs⠀⇛


                       Baseband management controllers are are what
                       separate desktops (and even some billing themselves
                       as workstations) from proper servers.


                # ⚓ Hackaday ☛ Spectrum_Analyzer_Buyer’s_Guide⠀⇛


                       Having a scope in a home lab used to be a real
                       luxury, but these days, its fairly common for the
                       home gamer to have a sophisticated storage scope
                       (or two) hanging around. Dedicated spectrum
                       analyzers are a bit less common, but they have also
                       dropped in price while growing in capabilities.
                       Want to buy your very own spectrum analyzer? [Kiss
                       Analog] has a buyer’s guide for what to consider.


                # ⚓ Hackaday ☛ Rebuilding_A_$700k_Refrigerator⠀⇛


                       When cleaning out basements, garages, or storage
                       units we often come across things long forgotten.
                       Old clothes, toys, maybe a piece of exercise
                       equipment, or even an old piece of furniture. [Ben]
                       and [Hugh] were in a similar situation cleaning out
                       an unused lab at the University of California Santa
                       Barbara and happened upon an old refrigerator. This
                       wasn’t just a mini fridge left over from a college
                       dorm, though. This is a dilution refrigerator which
                       is capable of cooling things down to near absolute
                       zero, and these scientists are trying to get it to
                       its former working state.


                # ⚓ Hackaday ☛ Turing_Complete_Origami⠀⇛


                       Origami can be an interesting starting point for a
                       project, but we weren’t expecting [Thomas C. Hull]
                       and [Inna Zakharevich]’s Turing complete origami
                       computer.


                # ⚓ Tom's Hardware ☛ Is_your_defective_chip_maker_Intel_Core
                  i9-13900K_crashing_in_games?_Your_motherboard_BIOS_settings
                  may_be_to_blame_—_other_high-end_defective_chip_maker_Intel
                  CPUs_also_affected⠀⇛


                       Gamers and game developers are taking note of
                       crashes on high-end defective chip maker Intel
                       CPUs, and we think we have the answer. Multiple
                       answers, even. Power, current, voltage, and clock
                       speeds are all potential factors.


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ The Straits Times ☛ Pregnant_Indian_woman_dies_after
                  husband_refuses_to_take_her_to_hospital⠀⇛


                       The man, who claimed home birth was possible with
                       the help of YouTube videos, has been arrested.


                # ⚓ New York Times ☛ Alabama_Says_Embryos_in_a_Lab_Are
                  Children._What_Are_the_Implications?⠀⇛


                       A ruling by the state’s Supreme Court could change
                       common practices at fertility clinics in the state
                       and possibly nationwide.


                # ⚓ The Kent Stater ☛ Days_after_Alabama’s_Supreme_Court_ruling
                  that_frozen_embryos_are_children,_one_facility_pauses_IVF
                  treatment⠀⇛


                       The University of Alabama at Birmingham health
                       system is pausing in vitro fertilization (IVF)
                       treatment following an Alabama Supreme Court
                       ruling that found frozen embryos are children, the
                       health system said in a statement to CNN.


                # ⚓ New York Times ☛ University_of_Alabama_at_Birmingham_Health
                  System_Pauses_IVF_Procedures_After_Ruling⠀⇛


                       The U.A.B. system said it was worried about
                       potential criminal prosecutions after Alabama’s
                       Supreme Court ruled that frozen embryos should be
                       considered children.


                # ⚓ Stanford University ☛ The_cocoa_craze:_Experts_spill_the
                  beans_on_the_science_of_chocolate⠀⇛


                       From potential health supplement to quintessential
                       Valentine's Day gift, what makes chocolate so
                       special? Stanford researchers explain the science
                       and economics behind the sweet treat.


                # ⚓ The Kent Stater ☛ Heart_health_luncheon_series_seeks_to
                  inform_students_on_nutrition_and_longevity⠀⇛


                       This year one of the Go Red for Women events has
                       been converted into the Heart Health for All
                       Luncheon.


                # ⚓ Federal News Network ☛ VHA_tells_leaders_to_rescind_job
                  offers_only_as_a_‘last_resort’_to_manage_size_of_health_care
                  workforce⠀⇛


                       The Veterans Health Administration, in recent
                       memos, put a temporary pause on pulling back job
                       offers, then told leadership and HR officials to
                       only rescind job offers as an “action of last
                       resort.”


                # ⚓ Latvia ☛ Hospital_saga_continues:_building_documents
                  reported_missing⠀⇛


                       Taking possession of the construction object,
                       experts at Pauls Stradiņš Clinical University
                       Hospital (PSKUS) have identified missing
                       construction documentation, PSKUS said on February
                       22.


                # ⚓ Latvia ☛ Hospital_takes_over_site_from_builders_in_dramatic
                  standoff⠀⇛


                       Under the supervision of police, a takeover of the
                       construction site of Pauls Stradiņš Clinical
                       University Hospital began on Wednesday, February
                       21.


                # ⚓ Latvia ☛ Latvia's_emergency_team_shows_off_new_cars⠀⇛


                       The State Emergency Medical Service (NMPD) has
                       received 47 new vehicles specially designed for the
                       team to work in pairs. Previously, teams mostly had
                       three people. The reduction aims to make the teams
                       quicker and more accessible, Latvian Radio reported
                       on February 21.


                # ⚓ CS Monitor ☛ South_Korea_needs_more_doctors._So_why_are
                  8,000_trainees_striking?⠀⇛


                       Government plans to increase medical school
                       admissions will make an already cut-throat industry
                       even more competitive, doctors said. Trainees
                       usually work 80 to 100 hours, five days a week, or
                       up to 20 hours a day.


                # ⚓ The Straits Times ☛ South_Korea_hospitals_on_red_alert_as
                  doctors_ramp_up_protests⠀⇛


                       Emergency departments at all but one of South
                       Korea's biggest hospitals were on red alert on
                       Thursday as trainee doctors vowed to stay off the
                       job in protest at government plans to increase
                       medical school admissions to boost the healthcare
                       sector.


                # ⚓ YLE ☛ Tap_water_safe_again_in_Espoo,_Kauniainen_and
                  Vantaa⠀⇛


                       Residents of some parts of the capital region were
                       advised to boil their water earlier this week.


                # ⚓ YLE ☛ THL:_Half_of_children_not_receiving_comprehensive
                  health_checks⠀⇛


                       The checks are intended to monitor and assess a
                       child's physical, mental and social growth and
                       development at regular intervals.


                # ⚓ Techdirt ☛ CBP’s_Top_Doctor_Tried_To_Obtain_‘Fentanyl
                  Lollipops’_For_‘Pain_Management’_In_Case_Of_A_Helicopter
                  Crash⠀⇛


                       Man. I have seen some shit since taking up a
                       regular post at this fine website. I have had my
                       mind blown with an alarming frequency. I have been
                       sent into waves of mocking laughter more times than
                       anyone writing for a respected website should
                       admit. I have, in other words, been ruined by the
                       internet.


          o § Proprietary/Artificial Intelligence (AI)⠀➾


                # ⚓ Yahoo News ☛ Block_to_cut_112_jobs_in_March_as_economic
                  uncertainty_bites⠀⇛


                       Jack Dorsey-led Block Inc plans to cut 112 jobs on
                       March 30, the fintech said in a legally mandated
                       notice, as part of its previously disclosed plans
                       to trim headcount and reduce costs, sending shares
                       up over 3% in early trade on Thursday.


                       The notice was issued under the Worker Adjustment
                       and Retraining Notification (WARN) Act which
                       requires employers to provide a 60-day notice
                       before layoffs, according to the Department of
                       Labor & Workforce Development website.


                # ⚓ Rivian_Layoffs_2024:_What_to_Know_About_the_Latest_RIVN_Job
                  Cuts⠀⇛


                       Rivian RIVN layoffs are coming to the electric
                       vehicle (EV) company’s salaried staff as it looks
                       to reduce jobs amid economic uncertainty.


                       During Rivian’s earnings report for the fourth
                       quarter of 2023, the company noted it will reduce
                       its salaried staff by 10%. The company attributes
                       this to “geopolitical uncertainties and pressures,”
                       with high interest rates being the main factor
                       behind its decision.


                # ⚓ Silicon Angle ☛ Rivian_shares_tumble_15%_amid_job_cuts_and
                  wider_quarterly_loss⠀⇛


                       Shares in Rivian Automotive Inc. fell more than 15%
                       in late trading today after the electric car maker
                       announced job cuts, posted a larger-than-expected
                       quarterly loss and forecasted flat production
                       numbers in the year ahead amid high interest rates
                       and other economic pressures.


          o § Security⠀➾


                # § Integrity/Availability/Authenticity⠀➾


                      # ⚓ LRT ☛ Hundreds_fall_victim_to_online_‘romance_scams’
                        in_Lithuania⠀⇛


                             Hundreds of people in Lithuania have been
                             scammed by online fraudsters pretending to
                             engage in romantic exchanges, making
                             transfers totalling more than a million
                             euros, according to estimates by commercial
                             banks. Some of the transactions were stopped.


                      # ⚓ YLE ☛ Widespread_disruption_to_card_payments_over⠀⇛


                             Some transactions were delayed or rejected on
                             Tuesday, the service provider said.


                # § Privacy/Surveillance⠀➾


                      # ⚓ Associated Press ☛ Reddit_strikes_$60M_deal_allowing
                        Google_to_train_AI_models_on_its_posts,_unveils_IPO
                        plans_|_AP_News⠀⇛


                             The deal will allow the search giant to use
                             posts from the online discussion site for
                             training its artificial intelligence models
                             and to improve products such as online
                             search.


                      # ⚓ Techdirt ☛ European_Human_Rights_Courts_Rules_That
                        Encryption_Backdoors_Are_Illegal_Under_European_Law⠀⇛


                             Well… this is an unexpected (and fun!) turn
                             of events. The EU Commission has spent most
                             of the last couple of years trying to talk EU
                             members into voting in favor of weakened
                             encryption, if not actual encryption
                             backdoors. You know, for the children.


                      # ⚓ Federal News Network ☛ NSA_cyber_official_retiring⠀⇛


                             One of the National Security Agency’s top
                             cyber officials is stepping down this spring.
                             Rob Joyce, NSA director of cybersecurity,
                             will retire on March 31.


          o § Defence/Aggression⠀➾


                # ⚓ BIA Net ☛ Man_faces_up_to_7_years_in_prison_for_torturing
                  stray_cats⠀⇛


                       The defendant poured corrosive sulfuric acid on
                       street cats at different times, and these incidents
                       were also captured on camera.


                # ⚓ BIA Net ☛ Erdoğan's_bodyguards_may_stand_trial_for
                  torture⠀⇛


                       Sürenoğlu wa sbeaten by two bodyguards for
                       expressing disapproval of a road closure because of
                       the wedding ceremony between two influential
                       families.


                # ⚓ The Straits Times ☛ US_lawmaker_accuses_China_of_‘bullying’
                  in_Taiwan_visit⠀⇛


                       Mr Mike Gallagher led a delegation to meet both
                       President Tsai Ing-wen and President-elect Lai
                       Ching-te in Taiwan.


                # ⚓ Hong Kong Free Press ☛ US_delegation_begins_Taiwan_visit,
                  with_Republican_Mike_Gallagher_accusing_China_of_‘bullying’⠀⇛


                       The chairman of the US House of Representatives
                       committee on China accused Beijing of “bullying”
                       Taiwan, as he arrived on the self-ruled island
                       Thursday for talks with its leaders.


                # ⚓ The Straits Times ☛ Maldives_visit_of_Chinese_survey_ship
                  could_rouse_Indian_Ocean_security_concerns⠀⇛


                       A Chinese research ship arrived in the Maldives on
                       Thursday, global ship-tracking data showed, just
                       three months after a similar vessel visited the
                       Indian Ocean and sparked New Delhi's security
                       concerns.


                # ⚓ The Straits Times ☛ Chinese_research_vessels_operating_in
                  the_Indian_Ocean⠀⇛


                       China's scientific survey fleet of ships is growing
                       and although the government insists the vessels are
                       for research purposes only, some Asian neighbours,
                       especially India, are concerned sensitive data they
                       gather might be shared with the Chinese military.


                # ⚓ The Strategist ☛ The_promises_of_Australia’s_pivot_to
                  India⠀⇛


                       Vital new dimensions overtake the ‘C’ cliches of
                       Australia’s old relationship with India—cricket,
                       curry and Commonwealth. The new C words are
                       community and commerce and contest in the Indo-
                       Pacific—and China.


                # ⚓ RFA ☛ Chinese_‘monster’_ship_keeps_pressure_on_Vietnam’s
                  oil_fields⠀⇛


                       The world’s largest coast guard vessel returns for
                       a fresh patrol tour near Vanguard Bank in the South
                       China Sea.


                # ⚓ Defence Web ☛ From_global_jihad_to_local_insurgencies:_the
                  changing_nature_of_Sub-Saharan_jihadism⠀⇛


                       For more than a decade the Islamist insurgency in
                       Sub-Saharan Africa has seemed unstoppable. 2022 saw
                       another uptick in jihadist violence across the
                       continent. Fatalities increased by 48% compared to
                       the previous year, while violent incidents
                       increased by 22%.


                # ⚓ Atlantic Council ☛ This_year’s_bipartisan_immigration_bill
                  offers_a_border_blueprint_for_2025⠀⇛


                       The consequences of another year of inaction on
                       border security and immigration policy may convince
                       a supermajority in the Congress to take up again in
                       2025 many of the ideas in this year’s bipartisan
                       Senate compromise—no matter which party captures
                       the White House in November.


                # ⚓ Atlantic Council ☛ Escalating_Middle_East_conflict_means
                  North_America_must_bolster_global_energy_security⠀⇛


                       The Houthi attacks on ships in the Red Sea have
                       raised shipping costs and caused delays for certain
                       traded goods. While global energy supply has
                       remained uninterrupted, the threat of a broader
                       conflict in the region raises the chances that
                       there will be disruptive attacks on energy and
                       transport infrastructure, putting energy security
                       at risk.


                # ⚓ The Strategist ☛ The_Trump_effect_may_galvanise_Europe⠀⇛


                       Not for the first time, the central figure at this
                       year’s Munich Security Conference was someone not
                       in attendance. This year was Donald Trump’s turn.


                # ⚓ New York Times ☛ U.S._Defends_Israel’s_Occupation_of_the
                  West_Bank_at_Top_U.N._Court⠀⇛


                       A U.S. official urged judges not to call for
                       Israel’s withdrawal from occupied territory,
                       arguing that Israel faced “very real security
                       needs” and that a Palestinian state must be
                       established for a lasting peace.


                # ⚓ JURIST ☛ UK_House_of_Commons_passes_amendment_for_Gaza
                  ceasefire_after_Conservative_and_SNP_walkout⠀⇛


                       The UK House of Commons passed a Labour Party
                       amendment for an immediate ceasefire in Gaza on
                       Wednesday as Parliament erupted after Speaker of
                       the House Sir Lindsey Hoyle went against convention
                       to select two amendments to a Scottish National
                       Party (SNP) ceasefire motion for voting.


                # ⚓ New York Times ☛ Delegation_Led_by_Mike_Gallagher_Says_U.S.
                  Support_for_Taiwan_Is_Firm⠀⇛


                       A bipartisan House delegation said the United
                       States would stand by the island in the face of
                       pressure from China, drawing connections between
                       Taiwan’s cause and Ukraine’s.


                # ⚓ New York Times ☛ How_an_Ex-FBI_Informant,_Alexander
                  Smirnov,_Targeted_the_Bidens⠀⇛


                       How Alexander Smirnov managed to convince business
                       partners, law enforcement agencies and politicians
                       he had something of value to offer remains an
                       enigma.


                # § Russia, Belarus, and War in Ukraine⠀➾


                      # ⚓ Meduza ☛ Navalny’s_mother_files_lawsuit_against
                        Russia’s_Investigative_Committee_for_not_releasing
                        son’s_body_—_Meduza⠀⇛


                      # ⚓ New York Times ☛ Yulia_Navalnaya’s_X_Account_Restored
                        After_Brief_Suspension⠀⇛


                             An account created by Aleksei A. Navalny’s
                             widow on Monday disappeared and then returned
                             hours later. The social control media company
                             said the suspension had been a mistake.


                      # ⚓ New York Times ☛ Tuesday_Briefing:_Navalny’s_Widow
                        Speaks_Out⠀⇛


                             Also, Israel may restrict access to the Aqsa
                             mosque during Ramadan.


                      # ⚓ AntiWar ☛ Biden_Knows_Putin_Killed_Alexei_Navalny⠀⇛


                             The President of the United States only knows
                             what his intelligence community tells him.
                             After the January attack on a U.S. military
                             facility in Jordan, American intelligence
                             assessed that Iran does not fully control its
                             proxy groups and that it is not commanding
                             the attacks.


                      # ⚓ Meduza ☛ At_least_six_St._Petersburg_residents_served
                        military_summonses_after_being_arrested_for_leaving
                        flowers_in_Navalny’s_memory_—_Meduza⠀⇛


                      # ⚓ Meduza ☛ ‘It_stays_in_the_body_indefinitely’_A_co-
                        developer_of_the_Novichok_nerve_agent_on_whether_the
                        poison_could_have_killed_Alexey_Navalny_—_Meduza⠀⇛


                      # ⚓ New York Times ☛ Trump_Again_Compares_Himself_to
                        Navalny_While_Discussing_Legal_Woes⠀⇛


                             At a Fox News town hall event, he mentioned
                             his four indictments, which he said were “all
                             because of the fact that I am in politics.”


                      # ⚓ Reason ☛ A_Form_of_Navalny⠀⇛


                             Plus: Teen boys go after tampons, Ken Paxton
                             goes after migrant charities, and more...


                      # ⚓ New York Times ☛ Tuesday_Briefing⠀⇛


                             Aleksei Navalny’s widow keeps fighting.


                      # ⚓ New Yorker ☛ A_Ukrainian_Fentanylware_(TikTok)
                        Influencer_Shares_Her_Life_as_a_Refugee_in_“Following
                        Valeria”⠀⇛


                             Nicola Fegg’s short documentary follows a
                             young woman who becomes a social-media star
                             during the war in Ukraine.


                      # ⚓ RFERL ☛ Dodik_Doubles_Down_On_Refusal_To_Join
                        Sanctions_Against_Moscow_In_Meeting_With_Putin⠀⇛


                             Milorad Dodik, the pro-Russia president of
                             the Serbian entity of Bosnia-Herzegovina, met
                             with Russian President Vladimir Putin on
                             February 21 and reaffirmed the entity's
                             refusal to join Western sanctions against
                             Moscow over its full-scale invasion of
                             Ukraine.


                      # ⚓ New York Times ☛ Wednesday_Briefing⠀⇛


                             Ukrainian troops are feared missing or
                             captured.


                      # ⚓ Latvia ☛ Latvian_chickens_eat_Russian_feed,_LTV
                        reports⠀⇛


                             Latvia is currently discussing a ban on
                             animal feed imports from Russia and Belarus.
                             According to the Food and Veterinary Service,
                             twelve establishments are indicated as the
                             destination of these goods in Latvia at the
                             time of crossing the border, of which the egg
                             producer Balticovo is the most well-known to
                             the general public, Latvian Television's "Kas
                             notiek Latvijā/KNL" broadcast reported on
                             February 21.


                      # ⚓ Atlantic Council ☛ What_I_heard_in_Munich:_Europe
                        gets_a_brutal_awakening⠀⇛


                             Fear loomed that next year, Europe would be
                             squeezed between a fascist Russia and an
                             undependable United States—a Europe that
                             would be pretty much on its own.


                      # ⚓ JURIST ☛ Mother_of_Alexei_Navalny_files_complaint
                        demanding_Russian_officials_release_son’s_body⠀⇛


                             Alexei Navalny’s mother, Lyudmila Navalnaya,
                             filed a lawsuit Wednesday in a Salekhard city
                             court against Russian officials, contesting
                             their refusal to release her son’s body. This
                             complaint followed previous attempts from
                             Lyudmila Navalnaya and Navalny’s team of
                             lawyers to retrieve the deceased activist’s
                             body.


                      # ⚓ JURIST ☛ UK_imposes_sanctions_on_prison_officials_at
                        colony_where_Alexei_Navalny_died⠀⇛


                             UK Foreign Secretary David Cameron announced
                             on Wednesday that sanctions will be imposed
                             on senior officials of the prison where the
                             Russian opposition figure Alexei Navalny was
                             detained and later died. The sanctions on six
                             individuals will include a ban from entering
                             the UK and asset freezes.


                      # ⚓ Meduza ☛ Ukraine_hits_Russian_army_training_ground_in
                        occupied_territory,_reportedly_killing_over_60_soldiers
                        waiting_for_general_—_Meduza⠀⇛


                      # ⚓ RFERL ☛ Biden_Calls_Putin_A_'Crazy_SOB'_And_Takes_Aim
                        At_Trump_During_Fund-Raiser_For_2024_Election⠀⇛


                             During a fundraiser for his reelection
                             campaign on February 21, President Joe Biden
                             called Russian President Vladimir Putin a
                             “crazy SOB” and took aim at former President
                             Donald Trump's comments comparing himself to
                             Aleksei Navalny, the Kremlin opponent who
                             died last week in an Arctic prison.


                      # ⚓ NYPost ☛ Biden_calls_Putin_a_‘crazy_SOB,’_rails
                        against_Trump_at_San_Francisco_fundraiser⠀⇛


                             President Biden railed against Russian
                             President Vladimir Putin, former President
                             Donald Trump and congressional Republicans
                             during his remarks at a campaign fundraiser
                             in California on Wednesday.


                      # ⚓ New York Times ☛ U.S._Warns_Allies_Russia_Could_Put_a
                        Nuclear_Weapon_Into_Orbit_This_Year⠀⇛


                             The American assessments are divided,
                             however, and President Vladimir Putin denied
                             having such an intention, saying that Russia
                             was “categorically against” it.


                      # ⚓ JURIST ☛ Putin_gifts_North_Korea_leader_Russian-made
                        limousine_amid_UN_sanctions⠀⇛


                             North Korea announced Tuesday that North
                             Korean leader Kim Jong Un was gifted a
                             Russian-made Aurus limousine by Russian
                             President Vladimir Putin, according to state-
                             owned broadcasting service KCNA. Russia
                             handed the limousine to North Korean
                             Secretary Pak Jong Chon and Deputy Department
                             Director Kim Yo Jong on Sunday.


                      # ⚓ Latvia ☛ Saeima_marks_two_years_since_start_of
                        Russia's_war_in_Ukraine⠀⇛


                             On Thursday, February 22, deputies of
                             Latvia's parliament, the Saeima, met for a
                             special extraordinary session to mark two
                             years since the start of Russia's disgraceful
                             invasion of Ukraine.


                      # ⚓ Latvia ☛ Levits:_Russia_tribunal_plan_is_moving_very
                        slowly⠀⇛


                             The initiative to establish an international
                             tribunal to try the numerous crimes of
                             Russian aggression in Ukraine is moving very
                             slowly according to former Latvian President
                             Egils Levits.


                      # ⚓ Latvia ☛ Latvian_Reporters_in_Ukraine:_Ieva_Vārna_of
                        TV3⠀⇛


                             In Latvian media, several reporters have
                             become familiar voices reporting from the war
                             in Ukraine. Ieva Vārna from TV3, Ina
                             Strazdiņa from Latvian Television (LTV) and
                             Indra Sprance from Latvian Radio have all
                             filed moving and powerful reports from the
                             front lines as well as telling stories about
                             those behind the front lines in Ukraine.
                             Over three days LSM will profile these
                             excellent, brave journalists.


                      # ⚓ Latvia ☛ Survey:_One_in_three_Latvian_residents_think
                        Ukraine_should_compromise⠀⇛


                             Two years after Russia's full-scale invasion
                             of Ukraine on February 24, 2022, one in three
                             or 34.3% of Latvian residents surveyed by the
                             pollster SKDS and Latvian Television's "What
                             is happening in Latvia/KNL" program, think
                             that it would be better if war stopped even
                              if Ukraine has to agree to compromises on
                             its behalf.


                      # ⚓ Latvia ☛ Latvian_reporters_in_Ukraine:_Indra_Sprance
                        of_Latvian_Radio⠀⇛


                             In Latvian media, several reporters have
                             become familiar voices reporting from the war
                             in Ukraine. Ieva Vārna from TV3, Ina
                             Strazdiņa from Latvian Television (LTV) and
                             Indra Sprance from Latvian Radio have all
                             filed moving and powerful reports from the
                             front lines as well as telling stories about
                             those behind the front lines in Ukraine.
                             Over three days LSM will profile these
                             excellent, brave journalists.


                      # ⚓ Latvia ☛ Ukrainian_children_might_have_to_go_to
                        Latvian_schools_next_year⠀⇛


                             Ideally, from next school year, Ukrainian
                             children in Latvia should start studying in
                             Latvian schools as a mandatory requirement,
                             the Ministry of Education and Science (IZM)
                             said February 20.


                      # ⚓ AntiWar ☛ After_Two_Years_of_War_in_Ukraine,_It’s
                        Time_for_Peace⠀⇛


                             As we mark two full years since Russia
                             invaded Ukraine, Ukrainian government forces
                             have withdrawn from Avdiivka, a town they
                             first captured from the self-declared Donetsk
                             People’s Republic (DPR) in July 2014.


                      # ⚓ France24 ☛ Biden_calls_Putin_a_'crazy_SOB',_says
                        climate_change_is_an_'existential_threat'_at
                        fundraiser⠀⇛


                             President Joe Biden called his Russian
                             counterpart Vladimir Putin a "crazy SOB" at a
                             public fundraising event Wednesday in
                             California.


                      # ⚓ Atlantic Council ☛ Two_years_on,_what_the_Russian
                        invasion_of_Ukraine_means_for_energy_security_and_net-
                        zero_emissions⠀⇛


                             Experts from the Atlantic Council's Global
                             Energy Center offer perspectives on
                             navigating global energy security and
                             charting a course towards a more secure and
                             sustainable energy future two years after
                             Russia's full-scale invasion of Ukraine.


                      # ⚓ France24 ☛ Maidan_Revolution_protesters_lament
                        enduring_corruption_in_Ukraine,_10_years_on⠀⇛


                             Ukraine is marking the 10th anniversary of
                             the shooting of dozens of protesters in Kyiv
                             during the Maidan Revolution, which toppled
                             the country's Moscow-backed president Viktor
                             Yanukovych and led to Russia's annexation of
                             Crimea and a pro-Russian separatist movement
                             in the east.


                      # ⚓ France24 ☛ 'Not_in_Russia's_interest'_to_start_war
                        with_a_NATO_country,_says_Norway's_PM⠀⇛


                             Norwegian Prime Minister Jonas Gahr Støre
                             spoke to FRANCE 24 about the war in Ukraine
                             ahead of the second anniversary this week of
                             Russia's full-scale invasion. The conflict
                             has prompted senior Scandinavian defence
                             officials to warn about the heightened threat
                             of war with Russia; while Norway is a
                             founding member of NATO, Finland joined the
                             alliance just last year while Sweden is in
                             the process of doing so.


                      # ⚓ France24 ☛ EU_targets_nearly_200_entities_with_new
                        sanctions_over_Russia's_war_in_Ukraine⠀⇛


                             EU members approved a 13th package of
                             Ukraine-related sanctions against Russia on
                             Wednesday, banning nearly 200 entities and
                             individuals accused of helping Moscow procure
                             weapons or of involvement in kidnapping
                             Ukrainian children.


                      # ⚓ France24 ☛ Blinken_and_Lavrov_to_attend_G20_talks
                        with_Ukraine,_Gaza_on_the_agenda⠀⇛


                             G20 foreign ministers open a two-day meeting
                             Wednesday in Brazil, with the outlook bleak
                             for progress on a thorny agenda of conflicts
                             and crises, from the Gaza and Ukraine wars to
                             growing polarization.


                      # ⚓ LRT ☛ Ukrainian_employees_will_not_be_required_to
                        speak_Lithuanian_for_another_year⠀⇛


                             Ukrainian refugees in Lithuania will not have
                             to meet language requirements in order to
                             work for at least another year, the
                             government decided on Wednesday.


                      # ⚓ LRT ☛ First_batch_of_Radarom!_safe_soldier_kits
                        reaches_Ukraine⠀⇛


                             The Radarom! campaign has dispatched the
                             first safe soldier packs to Ukraine. They
                             were delivered to Kyiv on Tuesday evening and
                             immediately sent to the troops fighting on
                             the front line.


                      # ⚓ LRT ☛ Lithuanian_defence_minister_hints_at_new_forms
                        of_support_to_Ukraine⠀⇛


                             Lithuanian Defence Minister Arvydas
                             Anušauskas says that Vilnius and other EU
                             capitals are considering giving support to
                             Ukraine in “other forms” than weapons and
                             money, without elaborating what they might
                             be.


                      # ⚓ RFERL ☛ New_EU_Ambassador_To_U.S._Says_Unity,
                        Strength_Are_Most_Important_To_Stop_Russia's
                        Aggression⠀⇛


                             The new EU ambassador to the United States
                             has arrived in Washington at a time when
                             tough issues related to the war in Ukraine
                             are at the top of the international agenda as
                             the conflict grinds toward its two-year
                             anniversary on February 24.


                      # ⚓ RFERL ☛ Soviet-Era_Ukrainian_Dissident,_Politician
                        Stepan_Khmara_Dies_At_86⠀⇛


                             One of the most prominent Soviet-era
                             dissidents of Ukraine, Stepan Khmara has died
                             at age 86, his wife said on February 21
                             without giving the cause of death.


                      # ⚓ RFERL ☛ Zelenskiy_Calls_On_Polish,_EU_Leaders_To_Meet
                        At_Ukrainian-Polish_Border_Amid_Tension⠀⇛


                             Ukrainian President Volodymyr Zelenskiy
                             called on Polish Prime Minister Donald Tusk,
                             President Andrzej Duda, and members of the
                             European Commission to meet him and members
                             of his government at the Ukrainian-Polish
                             border amid tension caused by Polish farmers'
                             protests against Ukrainian food imports.


                      # ⚓ RFERL ☛ EU_Approves_'One_Of_Broadest'_Sanctions
                        Packages_Against_Russia_So_Far⠀⇛


                             The European Union has approved a new package
                             of sanctions against Russia, its 13th since
                             Moscow launched its full-scale invasion of
                             Ukraine almost two years ago, in what the
                             bloc's rotating president Belgium said was
                             "one of the broadest approved by the EU."


                      # ⚓ France24 ☛ Russia's_Supreme_Court_upholds_ban_on
                        anti-war_presidential_candidate⠀⇛


                             Russia's Supreme Court on Wednesday upheld a
                             ruling by electoral authorities barring anti-
                             war candidate Boris Nadezhdin from next
                              month's presidential election, leaving
                             President Vladimir Putin without any
                             significant challengers.


                      # ⚓ CS Monitor ☛ Outgunned,_Ukrainians_watch_Congress
                        while_facing_Russians⠀⇛


                             In the midst of a grim third winter of a
                             grinding war, Ukrainian soldiers voice mixed
                             emotions: gratitude for U.S. support so far,
                             but concern that Americans unsure of their
                             global role won’t supply the ammunition the
                             soldiers need to stop Russia.


                      # ⚓ New York Times ☛ Russian_Forces_Press_On_With_Attacks
                        in_Southern_Ukraine⠀⇛


                             The assaults on the village of Robotyne,
                             which come at the same time as successful
                             attacks in the east, are designed to pressure
                             Ukrainian troops across the front line,
                             analysts say.


                      # ⚓ New York Times ☛ A_Russian_Military_Blogger_Dies
                        After_Criticizing_Army_Losses⠀⇛


                             The ultranationalist blogger, Andrei Morozov,
                             had described a campaign of intimidation
                             against him and threatened to end his own
                             life.


                      # ⚓ Meduza ☛ Russian_Telegram_channels_report_soldier_and
                        military_blogger_Andrey_Morozov_died_by_suicide_after
                        harassment_by_commanders_—_Meduza⠀⇛


                      # ⚓ LRT ☛ Baltics_detain_people_suspected_of_organising
                        Russia-directed_influence_operations⠀⇛


                             Estonian security services had broken up a
                             Russian influence operation and arrested 10
                             people related to it, Estonian Prime Minister
                             Kaja Kallas said on Tuesday.


                      # ⚓ LRT ☛ Russian_from_Vilnius_who_was_imprisoned_in_the
                        same_colony_as_Navalny:_‘Their_essence_is
                        cannibalistic’⠀⇛


                             Dmitry Novikov from Russia’s Kazan spent two
                             years in Penal Colony No. 3 in Vladimir
                             region, where the Russian opposition leader
                             Alexei Navalny, who died on February 16, had
                             previously served his sentence.


                      # ⚓ RFERL ☛ Flowers,_Candles_Placed_In_Tribute_To_Navalny
                        In_Serbia's_Largest_Cities⠀⇛


                             Flowers and candles for Kremlin opponent
                             Aleksei Navalny were placed on the evening of
                             February 21 in front of the Russian Embassy
                             in Belgrade and in the central square of
                             Serbia's second-largest city, Novi Sad.


                      # ⚓ RFERL ☛ Supreme_Court_Rejects_Nadezhdin's_Latest
                        Appeal_Over_Decision_To_Bar_Him_From_Russian
                        Presidential_Vote⠀⇛


                             Russia's Supreme Court on February 21 threw
                             out anti-war presidential candidate Boris
                             Nadezhdin's appeal of the Central Election
                             Commission's decision to bar him from next
                             month's presidential election.


                      # ⚓ RFERL ☛ Russian_Court_Allows_Government_To_Take_Over
                        Assets_Of_Nation's_Biggest_Auto_Dealer⠀⇛


                             A court in St. Petersburg has allowed the
                             government to take over the assets of the
                             country's largest auto dealership, Rolf,
                             founded by businessman Sergei Petrov.


                      # ⚓ RFERL ☛ Navalny's_Mother_Files_Lawsuit_Over_Demanding
                        Release_His_Body,_Court_Sets_March_4_Hearing_Date⠀⇛


                             Lyudmila Navalnaya, the mother of late
                             opposition politician Aleksei Navalny, has
                             filed a lawsuit in a Russian court demanding
                             the release of her son's body as outrage
                             mounts over the authorities' handling of
                             Navalny's death in an Arctic prison.


                      # ⚓ RFERL ☛ Britain_Slaps_Sanctions_On_Chiefs_Of_Arctic
                        Prison_Where_Navalny_Died⠀⇛


                             Britain on February 21 sanctioned six
                             individuals running the Russian Arctic prison
                             where the death of Kremlin opponent Aleksei
                             Navalny was announced on February 16.


                      # ⚓ RFERL ☛ Russian_Authorities_Release_Azerbaijani
                        Fitness_Trainer_Detained_At_Yerevan's_Request⠀⇛


                             Azerbaijan's Foreign Ministry said on
                             February 21 that Russian authorities released
                             Azerbaijani fitness trainer Kamil Zeynalli,
                             who was detained hours earlier at a Moscow
                             airport at Armenia's request.


                      # ⚓ YLE ☛ Russia_places_'Tom_of_Finland_XXL'_on_banned
                        book_list⠀⇛


                             Authorities in Russia say the list is just a
                             draft, even though the books listed are no
                             longer available in the country's online
                             stores.


                      # ⚓ CS Monitor ☛ The_light_Navalny_left_to_Russia⠀⇛


                             His example, more than his leadership,
                             inspires many Russians to not let fear take
                             over their role in democratic change.


                      # ⚓ New York Times ☛ Bosnian_Feuding_Hobbles_Gas_Pipeline
                        to_Cut_Russian_Supplies_and_Influence⠀⇛


                             The United States and Europe have championed
                             a new pipeline to bring gas to Bosnia and cut
                             supplies from Russia. But the project has
                             been stalled by feuding among ethnic groups.


                      # ⚓ New York Times ☛ Thursday_Briefing⠀⇛


                             U.S. warns of a possible Russian space
                             weapon.


                      # ⚓ Meduza ☛ Number_of_dissertations_published_in_Russia
                        decreased_by_22_percent_in_2023_—_Meduza⠀⇛


                      # ⚓ Meduza ☛ Russian_ninth_grader_reportedly_arrested_for
                        setting_fire_to_local_United_Russia_party_building_—
                        Meduza⠀⇛


                      # ⚓ New York Times ☛ Thursday_Briefing:_U.S._Warnings
                        About_a_Russian_Space_Weapon⠀⇛


                             Also, a blow to Pakistan’s military and
                             Niue’s fight for the .nu domain.


                      # ⚓ Meduza ☛ ‘The_parents_feared_retaliation_from_the
                        police’:_Russian_drill_instructor_forces_student_to
                        kneel_in_corner_and_threatens_to_tase_her_for_smiling_—
                        Meduza⠀⇛


                      # ⚓ Meduza ☛ Russian_FSB_reportedly_asking_travelers
                        crossing_Estonian_border_about_their_attitudes_toward
                        E.U._—_Meduza⠀⇛


                      # ⚓ LRT ☛ Lithuania_to_close_two_more_Belarus_border
                        checkpoints,_govt_decides⠀⇛


                             The Lithuanian government decided on
                             Wednesday to close the Lavoriškės and
                             Raigardas border checkpoints on the border
                             with Belarus as of March 1.


                      # ⚓ Latvia ☛ Belarus-Latvia_border_crossing_attempts_pick
                        up_again⠀⇛


                             Attempts by migrants to cross the Latvian-
                             Belarusian border illegally have resumed,
                             Interior Minister Rihards Kozlovskis (New
                             Unity) told Latvian Radio on February 22.


                      # ⚓ Meduza ☛ Lithuania_to_close_two_more_border
                        checkpoints_with_Belarus,_limit_disembarkation_from
                        transit_trains_—_Meduza⠀⇛


                      # ⚓ JURIST ☛ Belarus_dispatch:_property_confiscation_has
                        become_another_tool_of_political_repression⠀⇛


                             Belarusian law students enrolled at European
                             Humanities University are filing reports with
                             JURIST on current circumstances in Belarus
                             under the constitutionally-disputed
                             presidency of Alexander Lukashenka. Ulyana
                             Belaya and Katsiaryna Vasilionak file this
                             dispatch from Vilnius, Lithuania.


                      # ⚓ Meduza ☛ Moscow_police_deny_ordering_‘identification’
                        of_individuals_bringing_flowers_to_memorials_honoring
                        Navalny_—_Meduza⠀⇛


          o § Transparency/Investigative Reporting⠀➾


                # ⚓ Federal News Network ☛ Whistleblower_protection_legislation
                  stalls_amid_congressional_chaos⠀⇛


                       Whistleblower protection legislation often has
                       bipartisan support. Yet it seems to take forever. A
                       bill to extend federal protections to contractors
                       was supposed to get marked up in January in the
                       House Committee on Homeland Security and
                       Governmental Affairs. But now it is sidelined.


          o § Environment⠀➾


                # ⚓ The Straits Times ☛ China_at_risk_of_missing_2025_climate
                  targets,_needs_steep_CO2_cuts:_Study⠀⇛


                       China's heavy reliance on coal and oil to fuel its
                       economy since 2020 has led to a large spike in CO2
                       emissions.


                # ⚓ Hong Kong Free Press ☛ Severe_weather_warnings_in_place
                  across_China_as_temperatures_plummet⠀⇛


                       Severe weather warnings were in place across
                       swathes of China on Wednesday as temperatures
                       plummeted across the south and Beijing shivered in
                       snowy conditions.


                # § Energy/Transportation⠀➾


                      # ⚓ RFERL ☛ Iran_Blames_Israel_For_Explosions_At_Gas
                        Pipelines_That_Disrupted_Supplies⠀⇛


                             Iranian Oil Minister Javad Owji has blamed
                             Israel for a spate of recent explosions that
                             disrupted gas transmission lines in two of
                             Iran’s provinces, incidents that have
                             heightened tensions further between the two
                             rivals.


                      # ⚓ Hackaday ☛ Car_Driving_Simulators_For_Students,_Or:
                        When_Simulators_Make_Sense⠀⇛


                             There are many benefits to learning to fly an
                             airplane, drive a racing car, or operate some
                             complex piece of machinery. Ideally, you’d do
                             so in a perfectly safe environment, even when
                             the instructor decides to flip on a number of
                             disaster options and you find your method of
                             transportation careening towards the ground,
                             or the refinery column you’re monitoring
                             indicating that it’s mere seconds away from
                             going critical and wiping out itself and half
                             the refinery with it.


                      # ⚓ teleSUR ☛ Rwanda_and_EU_Sign_Deal_To_Boost_Mining
                        Sector⠀⇛


                             Global Gateway is a European strategy to
                             boost links in digital, energy and transport
                             sectors and to strengthen health, education
                             and research systems across the world.


                      # ⚓ Alan Pope ☛ Alan_Pope:_Exodus_Bitcoin_Wallet:_Follow
                        up⠀⇛


                             Yesterday I blogged about a series of Bitcoin
                             scam apps published in the Canonical Snap
                             store.


                             Two things!


                             Firstly, I have edited yesterday’s_blog to
                             remove reference to exchangerate-api. I had a
                             few comments about this, and it would have
                             been better not to mention them. They seem
                             like fine upstanding people doing good work,
                             and aren’t involved in all this horribleness.
                             Sincere apologies for mentioning them.


                             Second, one of the key messages I pushed
                             yesterday was that the dodgy applications
                             were still installed on client machines, even
                             after the store pages had been quarantined.


          o § Finance⠀➾


                # ⚓ India Today ☛ In_just_one_year,_over_67000_jobs_gone_at
                  Infosys,_TCS,_Wipro_and_Tech_Mahindra⠀⇛


                       The year 2023 began on a grim note for techies
                       across the globe as many companies started
                       announcing large-scale layoffs. From Twitter (now
                       called X) and Meta to Google, Amazon, and
                       Microsoft, ex-employees of many companies came
                       forward and shared their stories on LinkedIn. In
                       India too, many employees were impacted by the
                       layoffs wave and took to social media to either
                       look for a new job, or simply vent out their
                       feelings.


                       A recent report by the Mint revealed that in just
                       one year, 4 IT giants - Infosys, TCS, Wipro and
                       Tech Mahindra - laid off over 67,000 employees. The
                       report further reveals that while Infosys laid off
                       24,182 employees, Wipro handed the pink slip to
                       21,875 employees. On the other hand, TCS bid adieu
                       to 10,818 people while Tech Mahindra culled 10,669
                       roles.


                # ⚓ YLE ☛ Chamber_of_Commerce:_Record_number_of_business
                  closures_in_Helsinki_region⠀⇛


                       Roughly 17 percent more businesses closed in 2023
                       than 2022, a report by the Helsinki Region Chamber
                       of Commerce says.


                # ⚓ YLE ☛ House_prices_fell_by_more_than_9%_in_Helsinki_region
                  last_year,_7.6%_nationally⠀⇛


                       Housing sales rose in late 2023 due to tax changes,
                       but declined again in January.


                # ⚓ Are_layoffs_out_of_control_-_or_does_the_data_show_there's
                  nothing_to_worry_about?⠀⇛


                       Understandably, many employees and HR professionals
                       are worried about layoffs. Job cuts have been all
                       over the news so far in 2024, concentrated in the
                       finance and technology sectors. PayPal, Microsoft,
                       eBay, Hubspot, TikTok, Google, and Amazon are among
                       the well-known companies to announce layoffs.


                       These events make the headlines and employees feel
                       uncertain, anxious for their future, and worried
                       about their ability to find a new job if the worst
                       does happen. But is the picture as bad as it seems?


                # ⚓ WhichUK ☛ Almost_3_in_10_struggle_to_use_power_of_attorney
                  at_banks_and_building_societies⠀⇛


                       Which? survey of attorneys reveals the problems and
                       the best banks for handling registrations


                # ⚓ A_‘recalibration’:_Santa_Clara_County_tech_rout_accelerates
                  —_a_look_at_who’s_getting_laid_off⠀⇛


                       SILICON VALLEY MADE everything the world needed
                       when the pandemic reared its head, including
                       testing kits, medical records software and virtual
                       meeting platforms — and with it came a tech sector
                       hiring frenzy.


                       But after COVID subsided and the Bay Area began
                       adjusting to a post-pandemic world, scores of tech
                       workers started losing their jobs. Santa Clara
                       County workers were hit hard.


                       Nearly 16,800 tech employees have been laid off
                       since July 2021 on the heels of unprecedented
                       hiring during the pandemic, according to a San José
                       Spotlight analysis of company-reported layoff
                       notices required by state law. The Worker
                       Adjustment and Retraining Notification (WARN)
                       system requires companies with 100 or more
                       employees to report when they are issuing layoff
                       notices. The data is recent as of Feb. 7.


          o § AstroTurf/Lobbying/Politics⠀➾


                # ⚓ [Repeat] Mint Press News ☛ Unraveling_Famous_Criminal_Bill
                  Gates’_Global_Web_of_Influence,_with_Tim_Schwab⠀⇛


                       Tim Schwab joins Alan MacLeod to discuss the Famous
                       Criminal Bill Gates origin story, how he uses his
                       wealth to public health and education policy, his
                       connections to Jeffrey Epstein, and much more.


                # ⚓ The Straits Times ☛ South_Korea_foreign_minister_to_meet
                  Blinken_in_US_this_month⠀⇛


                       South Korea's foreign minister Cho Tae-yul will
                       visit the United States and hold a meeting with his
                       counterpart Antony Blinken on February 28, the
                       ministry said on Thursday.


                # ⚓ CS Monitor ☛ Beijing_and_Washington_don’t_trust_each_other
                  –_maybe_that’s_OK⠀⇛


                       Is trust the bedrock of international relations, or
                       is predictability? In recent years, the U.S. and
                       China have had to learn how to navigate growing
                       mistrust and make progress toward stability.


                # ⚓ The Straits Times ☛ China_sees_Europe_as_increasingly
                  ‘rational’_about_its_development,_says_foreign_minister⠀⇛


                       Europe has been pursuing a de-risking strategy and
                       reducing dependency on China particularly for
                       critical minerals.


                # ⚓ The Straits Times ☛ China_signals_its_‘panda_diplomacy’
                  will_resume_with_US,_Europe⠀⇛


                       The first pair of pandas could land at the San
                       Diego Zoo in California by late summer.


                # ⚓ RFA ☛ China_calls_for_mindset_change_to_grow,_end_‘lying
                  flat’_bureaucracy⠀⇛


                       Hunan province directive seen as countering Deng
                       Xiaoping’s reform theory despite a sputtering
                       economy.


                # ⚓ RFA ☛ Yunnan_mosque_gets_pagodas_and_party_slogans_in
                  Chinese_makeover⠀⇛


                       The mosque’s dome and minarets were demolished last
                       year under Xi’s ‘sinization’ of religion campaign.


                # ⚓ RFA ☛ China_faces_high_childcare_cost_as_population
                  shrinks,_growth_slows⠀⇛


                       A Chinese think tank finds raising a child costs
                       more than in US, Japan.


                # ⚓ JURIST ☛ US_Supreme_Court_rejects_appeal_from_Trump-
                  affiliated_attorneys_in_Michigan_sanctions_case⠀⇛


                       The US Supreme Court declined Tuesday to hear an
                       appeal from a group of attorneys associated with
                       former president Donald Trump, led by Sidney
                       Powell, against sanctions placed upon them for
                       allegedly abusing the Michigan state legal system
                       in their 2020 election fraud lawsuit.


          o § Censorship/Free Speech⠀➾


                # ⚓ RFERL ☛ Newspaper_Honoring_Navalny_Withdrawn_From_Moscow
                  Newsstands_As_Authorities_Withhold_His_Body⠀⇛


                       An issue of Russian weekly Sobesednik dedicated
                       partially to the memory of Aleksei Navalny has been
                       withdrawn from newsstands in Moscow, the
                       newspaper's editorial board says, as authorities
                       continue to clamp down on any public manifestation
                       of respect for the late Kremlin opponent.


                # ⚓ Meduza ☛ Moscow_authorities_reportedly_confiscate_copies_of
                  newspaper_featuring_image_of_Navalny_on_front_page_—_Meduza⠀⇛


                # ⚓ Meduza ☛ Russia’s_Sber_confirms_list_of_over_250_books
                  removed_from_online_marketplace_due_to_‘LGBT_propaganda’_law,
                  including_works_by_Dostoevsky_and_Stephen_King_—_Meduza⠀⇛


                # ⚓ RFERL ☛ Individuals_Who_Honored_Navalny's_Memory_In_St.
                  Petersburg_Given_Summonses_To_Enlistment_Office⠀⇛


                       Police officers gave summonses to six men arrested
                       for laying flowers in St. Petersburg in memory of
                       Kremlin opponent Aleksei Navalny, who died last
                       week at an Arctic prison camp, Rotunda website
                       reports.


                # ⚓ Techdirt ☛ In_SCOTUS_NetChoice_Cases,_Texas’s_And_Florida’s
                  Worst_Enemy_Is_(Checks_Notes)_Elon_Musk.⠀⇛


                       Next week, the Supreme Court will hear oral
                       argument in NetChoice v. Paxton and Moody v.
                       NetChoice. The cases are about a pair of laws,
                       enacted by Texas and Florida, that attempt to force
                       large social media platforms such as YouTube,
                       Instagram, and X to host large amounts of speech
                       against their will. (Think neo-Nazi rants, anti-vax
                       conspiracies, and depictions of self-harm.) The
                       states’ effort to co-opt social media companies’
                       editorial policies blatantly violates the First
                       Amendment.


                # ⚓ RFA ☛ North_Korea_bans_more_than_100_patriotic_songs_that
                  refer_to_reunification⠀⇛


                       Pyongyang metro's Unification Station renamed
                       'Station' amid messages that uniting with the South
                       is no longer a priority.


                # ⚓ Hong Kong Free Press ☛ Hong_Kong’s_new_national_security
                  law_should_increase_penalties_for_sedition,_says_security
                  chief_Chris_Tang⠀⇛


                       Hong Kong’s upcoming national security law should
                       increase the penalties for sedition, security
                       minister Chris Tang has said, describing the
                       current two-year maximum prison term for a first
                       offence as “insufficient.”


                # ⚓ RFA ☛ Hong_Kong_official_slams_groups'_criticism_of_new
                  security_law⠀⇛


                       86 rights groups say Article 23 will have
                       ‘devastating consequences’ for human rights in the
                       city.


                # ⚓ Hong Kong Free Press ☛ Solicitor_Shek_Yuet-hey_sues
                  journalists_at_Filipino_community_paper_The_Sun_for_libel
                  over_assault_case_reports⠀⇛


                       Two journalists at a news outlet serving Hong
                       Kong’s Filipino community are being sued for libel
                       over their reporting on an assault case involving
                       solicitor Jacob Shek Yuet-hey.


                # ⚓ The Straits Times ☛ US_urges_Pakistan_to_lift_internet
                  shutdowns,_social_control_media_restrictions⠀⇛


                       Internet monitoring advocates have pointed out
                       internet outages and restrictions after protests
                       following claims of election irregularities in
                       Pakistan.


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


                # ⚓ IT Wire ☛ US_claims_WikiLeaks_founder's_case_not
                  politically_motivated⠀⇛


                       On Wednesday, the second day of the hearing in
                       London, Claire Dobbin claimed Assange had leaked
                       information about sources and supported theft and
                       hacking. Assange was again too ill to attend the
                       hearing in person.


                       Dobbin also claimed that the Australian, 52, was
                       not being pursued for political reasons.


                # ⚓ teleSUR ☛ Julian_Assange_is_Politically_Persecuted:
                  Baltasar_Garzon⠀⇛


                       Washington wants to teach the world a lesson by
                       punishing Assange, said the Spanish jurist.


                # ⚓ Press Gazette ☛ Assange_extradition_to_US_is_state
                  retaliation_for_political_reasons,_High_Court_total⠀⇛


                       US hatched plot to kidnap or kill Assange when he
                       was in Ecuadorian embassy, court told.


                # ⚓ France24 ☛ UK_court_wraps_Assange_extradition_appeal
                  hearing,_opts_against_immediate_ruling⠀⇛


                       Britain's High Court on Wednesday finished hearing
                       two days of arguments over whether to grant
                       WikiLeaks founder Julian Assange a fresh appeal
                       against his extradition to the United States to
                       face espionage charges.


                       [...]


                       "We will reserve our decision," judge Victoria
                       Sharp said as the latest legal proceedings in the
                       long-running case concluded. It is unclear when she
                       and judge Jeremy Johnson will issue their ruling.


                # ⚓ Hong Kong Free Press ☛ Media_mogul_Jimmy_Lai_campaigned_to
                  win_support_from_Trump_despite_pushback_from_democrats,
                  colleagues,_court_hears⠀⇛


                       Apple Daily founder Jimmy Lai ran a campaign in his
                       pro-democracy paper to rally support from then-US
                       president Donald Trump a month before Hong Kong’s
                       national security law was passed, a former
                       publisher at the paper has told the national
                       security trial against the media tycoon.


          o § Civil Rights/Policing⠀➾


                # ⚓ EFF ☛ Unregulated,_Exploitative,_and_on_the_Rise:_Vera
                  Institute's_Report_on_Electronic_Monitoring⠀⇛


                       According to interviews and an analysis of policies
                       across hundreds of jurisdictions, the Vera
                       Institute found that the use of EM was an
                       unregulated patchwork across counties, states, and
                       the federal government. As private firms market new
                       products, the level of testing and quality
                       assurance has failed to keep up with the drive to
                       get contracts with local and state law enforcement
                       agencies. Relying on technology produced by such a
                       disordered industry can lead to reincarceration due
                       to faulty equipment, significantly increased
                       surveillance on those being monitored and their
                       household, and onerous requirements for people
                       under EM than when dealing with probation or parole
                       officers.


                       The lack of correlation between EM and
                       decarceration and the advancement in EM technology
                       suggests that EM, rather than serving as an
                       alternative to detention, is merely another tool in
                       the government's arsenal of carceral control. 


                       Even the question of jurisdictional authority is a
                       mess. The Vera Institute explains that agencies
                       frequently rely on private firms that further
                       subcontract out the hardware or software, and
                       individuals in rural areas can create profitable
                       businesses for themselves that only serve as a
                       middleman between the criminal justice system and
                       the hardware and software vendors. The Vera
                       Institute suggests that this can lead to
                       corruption, including the extortion by these small
                       subcontractors of people held on EM, often with no
                       oversight or public sector transparency. That
                       presents a problem to the data collection, public
                       records requests, and other investigative work that
                       policymakers, advocates, and journalists rely on to
                       find the truth and inform policy.


                # ⚓ Pro Publica ☛ Why_Museum_of_Us_and_History_Colorado_Didn’t
                  Have_to_Scramble_to_Comply_With_New_Repatriation_Rules⠀⇛


                       As major U.S. museums in recent weeks closed
                       displays and exhibit halls containing Native
                       American objects, the Museum of Us in San Diego
                       hasn’t done the same.


                       That’s not because the anthropological museum is
                       ignoring new federal repatriation rules, which took
                       effect this year. Rather, more than five years ago,
                       its board of trustees adopted a policy on
                       collections from Indigenous communities that
                       addressed the concerns the new rules focus on.


                # ⚓ OpenRightsGroup ☛ Advisory_Council_Nominees_needed [Ed:
                  They've been turning themselves into mass immigration
                  advocacy group in recent years]⠀⇛


                       Open Rights Group is looking for around 10 new
                       members of our Advisory Council in 2024, to help
                       advise us on policy at a time of major change. In
                       particular, we are looking for people with
                       expertise in the harms caused by surveillance,
                       censorship, digitalised immigration systems and
                       pre-crime technologies.


                # ⚓ OpenRightsGroup ☛ New_report_reveals_widespread_data
                  sharing_and_retention_of_Prevent_referrals,_including
                  children’s_data⠀⇛


                       A new report by digital campaigners, Open Rights
                       Group, has found that the data of people who are
                       referred to the Prevent programme is being widely
                       shared, and that data is being retained for years
                       even when referrals are marked ‘no further action’.


                # ⚓ OpenRightsGroup ☛ Prevent_and_the_Pre-Crime_State:_How
                  unaccountable_data_sharing_is_harming_a_generation⠀⇛


                       Thousands of Prevent referrals are made each year
                       ostensibly to “support people susceptible to
                       radicalisation”. The overwhelmingly majority do not
                       meet the threshold for a Channel intervention (a
                       multi-agency deradicalisation programme). Despite
                       this, the data of Prevent referees is retained and
                       shared across multiple databases, with potentially
                       harmful outcomes.


                # ⚓ The Straits Times ☛ Japan_summons_South_Korea_ambassador
                  over_wartime_labour_payment⠀⇛


                       The family of a South Korean victim received money
                       from Japanese shipbuilder Hitachi Zosen this week.


                # ⚓ Public Knowledge ☛ Privileged_Conversations_|_Mar._2024⠀⇛


                       Public Knowledge has the pleasure of inviting you
                       to a multifaceted program focused on training and
                       developing the next generation of tech policy
                       experts and public interest advocates that reflects
                       the diversity of voices and experiences in our
                       society.


          o § Digital Restrictions (DRM)⠀➾


                # ⚓ Techdirt ☛ Here_We_Go_Again:_Sony_Disappears_Digital
                  Content_That_Was_Pitched_To_Customers_As_‘Forever’⠀⇛


                       And here we go again. We’ve had many, many posts
                       over recent years discussing how, in the digital
                       age, you often don’t actually own what you’ve
                       bought. And before the comments section gets filled
                       with perplexed but rather educated folks talking
                       about how the all these cases involve products in
                       which the terms of service clearly outline that
                       this is a license and not an actual product being
                       bought, just stop. We all know that barely anyone
                       reads a ToS these days and the confusion and anger
                       that occurs in the public is proof of it. So
                       clearly companies are not doing nearly enough to
                       inform their customers of what they are actually
                       purchasing. And if you think that problem is easily
                       solved by staunchly insisting that Nancy down the
                       street steep herself in legalese, then you’re
                       completely divorced from reality.


                # ⚓ Techdirt ☛ Max_‘Enshittifies’_Itself_By_Making_John_Oliver
                  Harder_To_Watch⠀⇛


                       Now that subscriber growth has slowed, streaming TV
                       giants have taken the predictable turn of making
                       their services shittier and more expensive to
                       deliver Wall Street (impossibly) unlimited
                       quarterly revenue growth.


      § Monopolies/Monopsonies⠀➾


          o § Trademarks⠀➾


                # ⚓ Dennis Crouch/Patently-O ☛ The_Sky’s_the_Limit:_How_Chestek
                  Frees_the_USPTO⠀⇛


                       Earlier this month, the Federal Circuit issued a
                       decision in the case of In re Chestek that, on its
                       face, simply upheld the USPTO’s requirement that
                       trademark applicants provide their domicile
                       address. But contained within the court’s ruling is
                       language that could have some major implications —
                       essentially giving the USPTO carte blanche ability
                       to sidestep administrative rulemaking procedures
                       for any new requirements it imposes, as long as
                       they are deemed “procedural” in nature.  And on
                       this point the Federal Circuit appears to establish
                       a wide permissive definition that the rulemaking is
                       procedural so long as does not affect the
                       substantive patent monopoly or trademark
                       standards.  Of course, the USPTO generally does not
                       have substantive rulemaking authority regarding the
                       patent monopoly standards, and so everything is
                       procedure.


          o § Copyrights⠀➾


                # ⚓ Public Domain Review ☛ “The_Substantiality_of_Spirit”:
                  Georgiana_Houghton’s_Pictures_from_the_Other_Side⠀⇛


                       When Georgiana Houghton first exhibited her
                       paintings at a London gallery in 1871, their wild
                       eddies of colour and line were unlike anything the
                       public had seen before — nor would see again until
                       the rise of abstract art decades later. But there
                       was little intentionally abstract about these
                       images: Houghton painted entities she met in the
                       spirit regions. Viewing her works through the prism
                       of friendship, loss, and faith, Jennifer Higgie
                       turns overdue attention on an artist neglected by
                       historians, a visionary who believed that death was
                       not the end, merely a new distance to overcome.


                # ⚓ Public Domain Review ☛ Tales_of_the_Catfish_God:
                  Earthquakes_in_Japanese_Woodblock_Prints_(1855)⠀⇛


                       A type of woodblock print known as *namazu-e*,
                       these images involve a myth that earthquakes were
                       caused by the movements of a great catfish.





                    ䷩ 𝚕𝚒𝚗𝚎 4343

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 23/02/2024: Feed Aggregator and 2
Years of Invasion, Alexei Navalny’s Mother
Blackmailed⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Feb 23, 2024


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


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * Leftovers
          o Science
          o Hardware
          o Health/Nutrition/Agriculture
          o Proprietary/Artificial_Intelligence_(AI)
          o Pseudo-Open_Source
                # Openwashing
          o Security
                # Privacy/Surveillance
          o Defence/Aggression
          o Transparency/Investigative_Reporting
          o Environment
                # Energy/Transportation
                # Wildlife/Nature
          o AstroTurf/Lobbying/Politics
          o Censorship/Free_Speech
          o Freedom_of_Information_/_Freedom_of_the_Press
          o Civil_Rights/Policing
          o Internet_Policy/Net_Neutrality
          o Monopolies/Monopsonies
                # Patents
                # Trademarks
                # Copyrights
    * § Leftovers⠀➾


          o ⚓ Adam_Young:_Anatomy_of_a_Jam_Performance⠀⇛


                 My Band, The Standard Deviants, had a rehearsal this
                 weekend. As usual, I tried to record some of it. As so
                 often happens, our best performance was our warm up tune.
                 This time, we performed a tune called “The SMF Blues” by
                 my good friend Paul Campagna.


                 What is going on here? Quite a bit. People talk about
                 Jazz as improvisation, but that does not mean that
                 “Everything” is made up on the spot. It takes a lot of
                 preparation in order for it to be spontaneous. Here are
                 some of the things that make it possible to “just jam.”


          o ⚓ The New Leaf Journal ☛ WordPress.com_One-Page_Feed_Aggregator
            Site⠀⇛


                 I noted in Newsletter Leaf Journal 174 that my Osmosfeed
                 static feed aggregator site, which I had been using to
                 collect my articles from around the web in one place,
                 broke. While I am sure that I could have figured out how
                 to fix it, doing so would have required more digging than
                 I was inclined to do – so I decided to shutter that
                 project for now. While I would like to get a real feed
                 aggregator site going again, I decided to improvise a
                 makeshift solution for the time being so I can spend my
                 time doing more productive things such as actually
                 writing articles.


                 (Note: If you are not familiar with feeds and feed
                 readers, I wrote a general introduction. If you are not
                 sure why you would want to use them, see my article on
                 using a feed reader and read-it-later solution as your
                 portal to the [Internet] from your digital home.)


          o ⚓ Deutsche Welle ☛ Cellular_outage_disrupts_phone_service_across
            the_US⠀⇛


                 Service providers AT&T, Cricket Wireless, Verizon, T-
                 Mobile and other networks were affected, though T-Mobile
                 and Verizon said their network was operating normally and
                 the outage was potentially related to customers trying to
                 connect via other networks.


                 "Some of our customers are experiencing wireless service
                 interruptions this morning. We are working urgently to
                 restore service to them. We encourage the use of Wi-Fi
                 calling until service is restored," AT&T said in a
                 statement.


                 Customers reported being unable to place calls, text or
                 access the [Internet].


          o ⚓ Ruben Schade ☛ Complexity,_complexity_everywhere⠀⇛


                 So the story goes, is a phrase with four words. Woz’s
                 creativity and engineering prowess are the stuff of
                 legend, in particular his ruthless ability for
                 optimisation. He could look at a printed circuit board,
                 rewire it, and remove half the components while
                 maintaining the same functionality.


          o ⚓ Ruben Schade ☛ Media_accuracy_on_topics_with_which_you’re
            familiar⠀⇛


                 I’ve mentioned a few times how easy it is to pick apart
                 inaccuracies in media coverage on a topic you know about,
                 and the unease that sets in when you realise every topic
                 likely has the same issues.


                 I’m by no means the first person to notice this!


          o § Science⠀➾


                # ⚓ Crooked Timber ☛ Death,_Lonely_Death_—_Crooked_Timber⠀⇛


                       In 1990, just before Voyager’s camera shut down
                       forever, the probe turned around and looked
                       backwards. It zoomed in and took a picture of
                       Earth. But by that time, it was so far away that
                       Earth was just a single pale blue pixel. Look at
                       the right-most band of light. A little past halfway
                       down — see that speck? It’s not a defect. It’s not
                       something on your screen. That’s the Earth.


                       “That’s here. That’s home. That’s us. On it
                       everyone you love, everyone you know, everyone you
                       ever heard of, every human being who ever was,
                       lived out their lives. The aggregate of our joy and
                       suffering, thousands of confident religions,
                       ideologies, and economic doctrines, every hunter
                       and forager, every hero and coward, every creator
                       and destroyer of civilization, every king and
                       peasant, every young couple in love, every mother
                       and father, hopeful child, inventor and explorer,
                       every teacher of morals, every corrupt politician,
                       every “superstar,” every “supreme leader,” every
                       saint and sinner in the history of our species
                       lived there – on a mote of dust suspended in a
                       sunbeam.” — Carl Sagan


                # ⚓ New York Times ☛ Niklaus_Wirth,_Visionary_Software
                  Architect,_Dies_at_89⠀⇛


                       Pascal, the programming language he created in the
                       early days of personal computing, offered a simpler
                       alternative to other languages in use at the time.


          o § Hardware⠀➾


                # ⚓ The Atlantic ☛ KitchenAid_Did_It_Right_87_Years_Ago⠀⇛


                       You will never pass down an Apple Watch or Sonos
                       speaker through the generations—they’ve been cut
                       off from that possibility by firmware updates and
                       new operating systems. You are almost certainly not
                       using your grandmother’s phone to call your
                       friends, her toaster oven to cook, or her
                       typewriter to function at your desk job. Yet the
                       stand mixer endures. KitchenAids of a certain
                       vintage may never show their age; newer models,
                       which have more plastic parts, are weaker in some
                       ways, though they are still easily repaired, says
                       Zach Dinicola, a KitchenAid-repair expert known as
                       Mr. Mixer, who makes YouTube and TikTok repair
                       videos. “I've worked on fourth-generation mixers,
                       passed down from great-grandma to youngest
                       daughter,” he told me. “I have people in tears:
                       ‘This is the last piece of my mother, this is the
                       last piece of my grandmother that I had; it broke
                       and I thought I had lost that connection.’”


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ University of Michigan ☛ U-M_study_looks_at_racial
                  disparities_in_schools_during_COVID⠀⇛


                       A U-M study noted racial disparities in school
                       enrollment during the COVID-19 pandemic, consistent
                       with the fact that communities of color faced
                       greater risks from COVID-19.


                # ⚓ Science Alert ☛ Largest_COVID_Vaccine_Study_Ever_Reveals
                  The_Actual_Health_Risks_You_Face⠀⇛


                       Following a first dose of the AstraZeneca vaccine,
                       there was a 3.2 times greater-than-expected risk of
                       cerebral venous sinus thrombosis (a type of blood
                       clot in the brain) observed in 69 events, compared
                       to an expected 21. The risks were 1.49 times higher
                       after the Pfizer vaccine's first dose, and 1.25
                       times higher after second doses.


                # ⚓ Democracy Now ☛ Frozen_Embryos_Are_Children?_Reproductive
                  Care_in_Peril_After_Alabama_Supreme_Court_Ruling⠀⇛


                       The Alabama Supreme Court has sent shockwaves
                       through the world of reproductive healthcare,
                       relying on anti-abortion language inserted into the
                       state Constitution in 2018 about “rights of the
                       unborn child” to rule that frozen embryos are
                       children. Now Alabama’s largest hospital has paused
                       in vitro fertilization treatments as it studies the
                       impact of the ruling, which could set a template
                       for other states to restrict IVF and other medical
                       care. “It was just very shocking,” says Angela
                       Granger, an IVF patient who previously received
                       treatment in Alabama and who had been considering
                       returning to the state for future rounds of IVF to
                       get pregnant again. “I just don’t trust what’s
                       going on to be able to go back at this point.” We
                       also speak with Barbara Collura, president of the
                       infertility patient advocacy group RESOLVE, who
                       says the Alabama ruling will have far-reaching
                       implications. “It’s going to terrify people all
                       across the country that this might happen in their
                       state,” says Collura, who describes embryos as a
                       “microscopic group of cells” not even visible to
                       the human eye. “We do not look at that as a person,
                       as a child or as a baby.”


                # ⚓ Futurism ☛ Woman_Gets_Dental_Implants,_Realizes_They_Do
                  Something_Wild_in_the_Nightclub⠀⇛


                       For those wondering, there's a perfectly scientific
                       explanation for her natural teeth's glow-in-the-
                       dark quality. Photons in ultra-violet light — or
                       black light, colloquially — interact with certain
                       minerals in teeth to produce fluorescence, the glow
                       we see in teeth at bowling alleys or other events
                       featuring black lights.


                # ⚓ Vox ☛ Why_are_so_many_people_using_their_cellphones_while
                  driving?⠀⇛


                       The company found that both phone motion and screen
                       interaction while driving went up roughly 20
                       percent between 2020-2022. “By almost every metric
                       CMT measures, distracted driving is more present
                       than ever on US roadways. Drivers are spending more
                       time using their phones while driving and doing it
                       on more trips. Drivers interacted with their phones
                       on nearly 58% of trips in 2022,” a recent report by
                       the company concludes. More than a third of that
                       phone motion distraction happens at over 50 mph.


          o § Proprietary/Artificial Intelligence (AI)⠀➾


                # ⚓ India Times ☛ Chatgpt_bug:_'Haunted'_ChatGPT_cranks_out
                  gibberish_for_hours⠀⇛


                       ChatGPT was giving "peculiar" responses, generating
                       non-existent words, incomplete sentences and
                       general gobbledygook, developers using the tool
                       said in a discussion forum on the OpenAI website.


                       "It gives me meaningless words followed by a
                       bizarre list," one developer lamented.


                       "It feels as if my GPT is haunted or something has
                       been compromised, either on my end or at OpenAI's
                       (end)."


                # ⚓ Society for Scholarly Publishing ☛ Guest_Post_-_There_is
                  More_to_Reliable_Chatbots_than_Providing_Scientific
                  References:_The_Case_of_ScopusAI_-_The_Scholarly_Kitchen⠀⇛


                       Last summer, Scopus announced the release of a new
                       tool, ScopusAI, integrated with their bibliometric
                       database. Citing the documentation, “Scopus AI is
                       an AI-driven research tool that uses the Scopus
                       peer-reviewed research repository to help users
                       understand and navigate unfamiliar academic
                       content”. The tool consists of a chatbot interface,
                       which accepts prompts in natural language and
                       provides several sentence-long answers with
                       citations drawn from the Scopus database. Users can
                       type a follow-up question or pick a suggested
                       question from a list. Additionally, the tool
                       creates a visualization of keywords, a
                       functionality not rolled out fully at the time of
                       writing this article.


                # ⚓ Futurism ☛ Google_Shuts_Down_AI_Image_Generator_After_It
                  Made_"Racially_Diverse_Nazis"⠀⇛


                       Google's AI, on the other hand, seemed to be
                       jamming diversity into historical imagery on
                       autopilot, even when the context is bizarre or
                       offensive, like producing images of racially
                       diverse Nazi soldiers in World War II. Worse yet,
                       the AI seemed to be adding diversity to historical
                       imagery proactively, without the user even
                       suggesting the alteration.


                # ⚓ Stanford University ☛ Over-the-air_updates_and_regulatory
                  recalls⠀⇛


                       Automakers (including Tesla, Daimer, Ford, and GM)
                       as well as automated-driving developers (including
                       Waymo and Cruise) have recalled vehicles by pushing
                       over-the-air (OTA) updates to software in those
                       vehicles. This has produced some suggestion that
                       these updates are not really "recalls." I disagree.


                       In short: While recall remains the legally correct
                       term for how an automaker addresses a safety
                       problem, I would distinguish between "physical
                       recalls" and "virtual recalls." In fact, I've been
                       making this distinction since 2012.


                # ⚓ Vox ☛ Sora,_OpenAI’s_video_tool,_generates_a_vivid_and
                  misleading_world⠀⇛


                       Some AI experts, like Gary Marcus, have raised
                       doubts about whether a model like Sora could ever
                       learn to faithfully represent the laws of physics.
                       But just as DALL-E and ChatGPT improved over time,
                       so could Sora. And if its goal is to become a
                       “world simulator,” it’s worth asking: What is the
                       world that Sora thinks it’s simulating?


                # ⚓ Futurism ☛ An_AI_Site_Ripped_Off_Our_Reporting_About_AI
                  Ripoffs⠀⇛


                       Today in AI ouroboros vertigo: our reporting about
                       AI rip-offs was ripped off by a spammy AI site.


                       In November, we published a story revealing that
                       the legacy American magazine Sports Illustrated had
                       published articles bylined by fake, AI-generated
                       authors. Afterward, on a platform dubbed
                       "Toolify.ai," an outfit called "Curiosity"
                       published two separate AI-generated articles — one
                       titled "The Controversy of AI-Generated Authors:
                       Sports Illustrated's Shocking Revelation," the
                       other titled "The Scandal Unveiled: AI-Generated
                       Authors Exposed in Sports Illustrated" — rehashing
                       our report's findings without credit.


                # § Mozilla⠀➾


                      # ⚓ Mozilla ☛ Next_steps_for_Mozilla_and_Trustworthy_AI
                        [Ed: Mozilla just vomits buzzwords and PR instead of
                        code and substance. This is the end. Mozilla does not
                        know what Git is anymore? "Our first paper was also
                        “open source,” and this one is, too. [...] Please
                        contact us at AIPaper@mozillafoundation.org and send us
                        your feedback on the report, as well as examples of
                        trustworthy AI approaches and applications."]⠀⇛


                # § Education⠀➾


                      # ⚓ Society for Scholarly Publishing ☛ What_to_Do_with
                        the_AI_Elephant_in_the_Room:_A_NISO_Plus_Conference
                        Report_-_The_Scholarly_Kitchen⠀⇛


                             It seems hardly a conversation takes place in
                             our community lately that doesn’t at least
                             touch on artificial intelligence and its
                             implications on one aspect of our lives or
                             another. In this respect, the NISO Plus
                             Conference, which ended last week, was no
                             different. The AI sessions attracted the
                             largest crowds and drove much of the hallway
                             conversations during the breaks. The
                             conference was kicked off by a provocative
                             talk by Thomas Padilla, Deputy Director,
                             Archiving and Data Services at the Internet
                             Archive, who began the conference with a
                             discussion of ethical open AI. He considered
                             what might make AI systems more trustworthy
                             and reliable. He laid out a set of attributes
                             that open artificial intelligence systems
                             should include: Reusable, Transparent,
                             Accountable, Affirmative, and Sustainable.
                             Building upon this model, Padilla covered the
                             many ways that these attributes challenge the
                             role of AI systems and their present
                             application in the scholarly communications
                             space, noting ways that we could better
                             engage with the systems. The rest of the
                             first day’s conversations relating to AI
                             focused on transparency, trust, consent, and
                             data privacy were packed so full that some
                             people were sitting on the floor. During the
                             second day, the entire track of AI sessions
                             were moved into a larger plenary room. People
                             were keen to discuss whether to build or buy
                             AI systems, copyright issues, provenance, and
                             eventually, disclosure. The final panel
                             envisioned an AI-transformed world ten years
                             from now.


          o § Pseudo-Open Source⠀➾


                # § Openwashing⠀➾


                      # ⚓ XDA ☛ How_to_run_Llama_2_locally_on_your_Mac_or_PC⠀⇛


                             Given that it's an open-source LLM, you can
                             modify it and run it in any way that you
                             want, on any device. If you want to give it a
                             try on a Linux, Mac, or Windows machine, you
                             can easily!


                      # ⚓ TecAdmin ☛ How_to_Create_a_Systemd_Service_for_Your
                        .NET_Core_Application_on_Linux [Ed: Microsoft
                        infestation being openwashed]⠀⇛


                             In the evolving landscape of software
                             development and deployment, the combination
                             of .NET Core and GNU/Linux has emerged as a
                             powerful duo, offering developers a flexible,
                             high-performance platform for building and
                             running applications.


                      # ⚓ TecAdmin ☛ How_to_Deploy_.NET_Core_Applications_on
                        GNU/Linux_Servers⠀⇛


          o § Security⠀➾


                # § Privacy/Surveillance⠀➾


                      # ⚓ EFF ☛ NSA_Spying_Shirts_Are_Back_Just_In_Time_to_Tell
                        Congress_to_Reform_Section_702⠀⇛


                             Section 702 is up for renewal, so we decided
                             our shirts should reflect the ongoing fight.
                             For the first time in a decade, our popular
                             NSA Spying shirts are back, with an updated
                             EFF logo and design. The image of the NSA's
                             glowering, red-eyed eagle using his talons to
                             tap into your data depicts the collaboration
                             of telecommunication companies with the NSA -
                             a reference to our Hepting v. AT&T and Jewel
                             v. NSA warrantless wiretapping cases. Every
                             purchase helps EFF’s lawyers and activists
                             stop the spying and unplug big brother.


          o § Defence/Aggression⠀➾


                # ⚓ The Strategist ☛ Navy_chief_Mark_Hammond:_With_a_well-
                  designed_campaign,_surface_warships_can_operate_in_a_high
                  intensity_conflict⠀⇛


                       Over decades, a truism has matured that modern
                       technology, surveillance systems and weapons have
                       evolved to the point where surface warships will
                       not survive in a high intensity conflict.


                # ⚓ New York Times ☛ Syria_Blames_Israel_for_Deadly_Airstrike
                  on_Damascus⠀⇛


                       Israel did not comment on the attack, though it has
                       acknowledged hundreds of past strikes on Iran-
                       linked targets in Syria.


                # ⚓ France24 ☛ 🔴_Live:_Israel_strikes_Gaza's_Rafah_as_new_truce
                  attempts_under_way⠀⇛


                       New attempts are under way to reach a ceasefire
                       deal between Israel and Hamas that could pause the
                       war in Gaza, said Israeli war cabinet member Benny
                       Gantz late Wednesday, in the first Israeli
                       indication of renewed talks since negotiations
                       stalled a week ago. Israel launched air strikes
                       Thursday on southern Gaza’s Rafah after threatening
                       to send troops into the city. Read our liveblog for
                       all the latest developments in the Israel-Hamas
                       war.


                # ⚓ Democracy Now ☛ Malcolm_X_Assassination:_Former_Security
                  Guards_Reveal_New_Details_Pointing_to_FBI,_NYPD_Conspiracy⠀⇛


                       On the 59th anniversary of the assassination of
                       Malcolm X, two former security guards are speaking
                       out for the first time about how they were falsely
                       arrested by the New York Police Department as part
                       of a conspiracy to remove his protection before he
                       was killed. We hear from Khaleel Sayyed, 81, who
                       says he was detained on trumped-up charges just
                       days before Malcolm X was fatally shot, and we
                       speak with Ben Crump and Flint Taylor, two civil
                       rights attorneys who are working with the family.
                       They are calling on New York City Mayor Eric Adams,
                       a former police officer, to support the release of
                       key evidence in the case. We are “trying to peel
                       back the layers to finally, after 59 years, get
                       some measure of justice for Malcolm X’s family,”
                       says Crump. Taylor also places the assassination in
                       the context of police and the FBI targeting Black
                       civil rights leaders through COINTELPRO, such as
                       Fred Hampton, which he helped expose in a landmark
                       case in Chicago.


                # ⚓ The Hill ☛ One-fourth_of_TikTok_users_responsible_for
                  nearly_all_content:_Study⠀⇛


                       The most active 25 percent of U.S. adult TikTok
                       users produce 98 percent of public content on the
                       platform, the study found.


                       Nearly half of users, 48 percent, have never posted
                       any videos, and 60 percent have never posted public
                       videos, based on the study.


                # ⚓ Deutsche Welle ☛ EU_launches_TikTok_probe_over_child
                  protection_concerns⠀⇛


                       Since last year, Chinese-owned TikTok and other
                       large [Internet] platforms have been obliged to
                       comply with the European's Union's (EU) Digital
                       Service Act (DSA). Compared to similar regulations
                       around the globe, requirements laid out in the DSA
                       are relatively stringent.


                       Two months ago, the European Commission, which
                       provides oversight, expressed doubt that TikTok was
                       adhering to regulations. It launched preliminary
                       investigations and requested a statement from the
                       platform. According to the European Commission, the
                       statement was unsatisfactory.


                # ⚓ NPR ☛ A_man_shot_dead_in_Spain_may_be_a_Russian_army
                  defector⠀⇛


                       "But, we had access to different police sources who
                       confirmed that the murdered man was Maksim
                       Kuzminov," Bautista said.


                       Kuzminov was a young Russian former military
                       captain. In August of last year, Kuzminov flew a
                       Russian helicopter into Ukrainian territory and
                       handed himself in. But this was no act of
                       improvisation. Ukrainian intelligence said the
                       defection was the result of a six-month operation.


                       Kuzminov's defection wasn't completely smooth. Two
                       members of the Russian army, who were also on his
                       helicopter, were killed by Ukrainian forces. The
                       two soldiers were recognized in Russia as war
                       heroes, while Kuzminov was declared a traitor.


                # § Russia, Belarus, and War in Ukraine⠀➾


                      # ⚓ Off Guardian ☛ Alexei_Navalny’s_Death_and_Curious
                        Well-Timed_Coincidences⠀⇛


                             There is propaganda by commission and
                             propaganda by omission, the former often
                             serve to conceal the latter. Timing is
                             crucial. That the U.S. President Joseph
                             Biden, his British, NATO, Israeli allies, and
                             their corporate media mouthpieces are in need
                             of a major propaganda victory is obvious.


                      # ⚓ France24 ☛ Navalny’s_mother_accuses_Russia_of
                        ‘blackmailing’_her_to_agree_to_secret_burial⠀⇛


                             The mother of Russia’s top opposition leader
                             Alexei Navalny said Thursday that she has
                             seen her son's body and that she is resisting
                             strong pressure by authorities to agree to a
                             secret burial outside the public eye. [...]
                             Speaking in a video statement from the Arctic
                             city of Salekhard, Lyudmila Navalnaya said
                             investigators have allowed her to see her son
                             Alexei Navalny’s body in the city morgue. She
                             reaffirmed her demand for her son's body to
                             be handed over to her and decried the
                             pressure she was being subjected to by
                             Russian authorities to try to force her to
                             agree to a secret burial.


                             “They are blackmailing me, they are setting
                             conditions where, when and how my son should
                             be buried,” she said. “They want it to do it
                             secretly without a mourning ceremony.”


                      # ⚓ Meduza ☛ Navalny’s_mother_allowed_to_see_son’s_body,
                        says_investigators_trying_to_bury_him_in_secret_—
                        Meduza⠀⇛


                      # ⚓ Meduza ☛ Navalny’s_mother_says_investigators_showed
                        her_medical_report_claiming_her_son_‘died_from_natural
                        causes’_—_Meduza⠀⇛


                      # ⚓ Meduza ☛ Scammers_are_spreading_a_fake_Navalny_letter
                        to_swindle_people_out_of_money_—_Meduza⠀⇛


                      # ⚓ Meduza ☛ U.S._to_sanction_Putin_for_role_in_Navalny’s
                        death,_says_Biden_—_Meduza⠀⇛


                      # ⚓ RFERL ☛ Biden_Met_With_Navalny's_Wife,_Daughter,
                        White_House_Says⠀⇛


                             U.S. President Joe Biden on February 22 met
                             the wife and daughter of Aleksei Navalny in
                             California "to express his heartfelt
                             condolences," the White House said in a
                             statement.


                      # ⚓ RFERL ☛ Navalny's_Mother_Says_Allowed_To_See_Body,
                        Russian_Officials_Pressing_For_Secret_Burial⠀⇛


                             Lyudmila Navalnaya, the mother of late
                             opposition leader Aleksei Navalny, said on
                             February 22 that investigators allowed her to
                             see her son's body late on February 21 in the
                             Arctic city of Salekhard.


                      # ⚓ CS Monitor ☛ After_two_years_of_war,_Russia_finds
                        itself_frozen,_but_transformed⠀⇛


                             Between Alexei Navalny’s death and the
                             anniversary of the invasion of Ukraine,
                             Russia is in transition. The public may be
                             going along with the war, but the country’s
                             space for expression is shrinking.


                      # ⚓ New York Times ☛ U.S._to_Impose_Sanctions_on_More
                        Than_500_Russian_Targets⠀⇛


                             A package of economic restrictions to be
                             announced on Friday will be the largest since
                             Russia invaded Ukraine two years ago.


                      # ⚓ New York Times ☛ Navalny’s_Mother_Blasts_Russia_Over
                        Son’s_Remains_as_Putin_Rides_Nuclear-Capable_Bomber⠀⇛


                             She said Russian authorities told her they
                             would not release his remains unless she
                             agreed to a “secret funeral.” Meanwhile,
                             Aleksei Navalny’s widow met with President
                             Biden.


                      # ⚓ New York Times ☛ Navalny_and_the_Mirage_of_a
                        Different_Russia⠀⇛


                             Aleksei Navalny symbolized a possibility for
                             Russia. His death symbolizes its end.


                      # ⚓ Atlantic Council ☛ Ukrainian_long-range_drones_target
                        Putin’s_war_machine_inside_Russia⠀⇛


                             Ukraine is hoping a new campaign of long-
                             range drone strikes against Russia's
                             strategically vital oil and gas industry can
                             help weaken Putin's war machine, write
                             Victoria Vdovychenko and Alexander Khara.


                      # ⚓ RFA ☛ Ride_or_die_relations⠀⇛


                             President Vladimir Putin has presented North
                             Korean leader Kim Jong Un with an Aurus
                             Senat, a luxury passenger car that has been
                             described as the "Russian equivalent of
                             Rolls-Royce." Since a Putin-Kim summit in
                             2023, the two old Cold War allies have
                             deepened military, political, economic, and
                             cultural ties -- with Pyongyang believed to
                             be supplying munitions to Russia for its
                             conflict in Ukraine.


                      # ⚓ Reason ☛ Jen_Psaki_and_Nancy_Pelosi_Push_a_Conspiracy
                        Theory_About_Trump_and_Putin⠀⇛


                             Where are the fact-checkers and
                             misinformation cops?


                      # ⚓ New York Times ☛ 2_Years_Into_Russia-Ukraine_War,
                        U.S._Campaign_to_Isolate_Putin_Shows_Limits⠀⇛


                             Many nations insist on not taking sides in
                             the war in Ukraine, while China, India and
                             Brazil are filling Russia’s coffers.


                      # ⚓ New York Times ☛ Putin_Has_Already_Lost⠀⇛


                             Ukraine will never be his.


                      # ⚓ New York Times ☛ Biden_Called_Putin_a_‘Crazy_S.O.B.’
                        The_Kremlin_Called_Biden_a_‘Cowboy.’⠀⇛


                             The comments were a blunt tit-for-tat between
                             the two adversaries.


                      # ⚓ European Commission ☛ Opening_speech_of_Commissioner
                        Várhelyi_at_the_Exhibition_‘Escaping_Ukraine:_Am_I_My
                        Brother's_Keeper?'⠀⇛


                             European Commission Speech Brussels, 22 Feb
                             2024 Dear Ladies and Gentlemen,


                             First of all, it is a great honour for me to
                             welcome you here today at the Berlaymont
                             [...]


                      # ⚓ NYPost ☛ Zelensky_re-ups_invite_for_Trump_to_visit
                        Ukrainian_front_lines⠀⇛


                             Ukrainian President Volodymyr Zelensky on
                             Thursday re-upped his offer to give Donald
                             Trump a tour of the front lines of his
                             country’s war with Russia.  “I suggest [for]
                             him just to come.


                      # ⚓ The Strategist ☛ Australian_assistance_to_Ukraine_is
                        enlightened_self-interest⠀⇛


                             Australians should take pride in our prompt
                             and generous response to Russia’s all-out
                             invasion of Ukraine in February 2022.


                      # ⚓ France24 ☛ US_to_sanction_over_500_Russia-linked
                        targets_on_Ukraine_war_anniversary⠀⇛


                             The United States plans to impose sanctions
                             on more than 500 targets involved in Russia's
                             war in Ukraine, as fighting continues to rage
                             two years after Moscow's invasion, the
                             Treasury Department said Thursday.


                      # ⚓ France24 ☛ France_says_Russia_threatened_to_down_spy
                        plane_in_‘particularly_aggressive’_Black_Sea_exchange⠀⇛


                             Russian forces threatened to shoot down a
                             French surveillance aircraft patrolling in
                             international airspace over the Black Sea, a
                             signal of increasingly aggressive behavior
                             from Moscow as its invasion of Ukraine
                             struggles to make headway, French defense
                             officials said Thursday.


                      # ⚓ JURIST ☛ EU_imposes_13th_sanctions_package_on_Russia
                        over_ongoing_war_in_Ukraine⠀⇛


                             The EU adopted on Wednesday its thirteenth
                             package of sanctions against Russia over the
                             ongoing war in Ukraine. EU member states
                             unanimously approved the new sanctions. They
                             are expected to enter into legal force next
                             week.


                      # ⚓ LRT ☛ Ukrainian_refugees_in_Curonian_Spit_risk_being
                        left_homeless,_mayor_warns⠀⇛


                             Neringa Mayor Darius Jasaitis has appealed to
                             Lithuanian President Gitanas Nausėda and
                             Prime Minister Ingrida Šimonytė for help,
                             saying that Ukrainians living in the Curonian
                             Spit are at risk of being left homeless.


                      # ⚓ RFERL ☛ IMF_Says_Ukraine_Needs_'Timely_Support'_From
                        U.S.,_Other_Donors⠀⇛


                             The International Monetary Fund (IMF) on
                             February 22 said that "timely support" for
                             Ukraine is needed from the United States and
                             other international donors to ensure the
                             country's fiscal viability as it enters a
                             third year battling Russia's invasion.


                      # ⚓ RFERL ☛ U.K._Announces_New_Russia_Sanctions_To_Mark
                        Ukraine_Invasion_Anniversary⠀⇛


                             Britain has expanded its sanctions against
                             Russian companies and individuals and
                             entities outside Russia that are suspected of
                             aiding in the circumvention of existing
                             sanctions, the U.K. government said on
                             February 22.


                      # ⚓ RFERL ☛ Polish,_Ukrainian_Officials_To_Meet_In_Warsaw
                        Next_Month⠀⇛


                             Polish and Ukrainian government members will
                             hold talks in Warsaw on March 28, Polish
                             Prime Minister Donald Tusk said on February
                             22 after Ukrainian President Volodymyr
                             Zelenskiy called on Warsaw and the European
                             Commission to meet to address protests by
                             Polish farmers over Ukrainian food imports.


                      # ⚓ RFERL ☛ Czech_Ban_On_Visas,_Residence_Permits_For
                        Russians,_Belarusians_Extended⠀⇛


                             Czech Prime Minister Petr Fiala said his
                             government approved a move to extend for an
                             unspecified term a ban on issuing visas and
                             residence permits to Russian and Belarusian
                             citizens that was introduced in 2022 over
                             Russia's ongoing invasion of Ukraine.


                      # ⚓ RFERL ☛ Russia's_Invasion_Of_Ukraine_Has_Exacted
                        'Horrific'_Cost_On_Civilians,_UN_Rights_Chief_Says⠀⇛


                             Russia's nearly two-year-old invasion of
                             Ukraine has caused immense suffering, with
                             civilians paying a horrendous price as tens
                             of thousands were killed and wounded, while
                             millions were displaced and subjected to bad
                             treatment, UN High Commissioner for Human
                             Rights Volker Turk said.


                      # ⚓ RFERL ☛ Ukraine_Says_Strike_On_Russian_Troops_In
                        Kherson_Kills_Scores,_Denies_Losing_Bridgehead_On
                        Dnieper_Left_Bank⠀⇛


                             Ukraine's military has acknowledged it struck
                             a training ground in occupied Kherson where
                             Russian troops were preparing for an assault
                             on Ukraine's bridgehead at Krynka on the left
                             bank of the Dnieper River, the second time
                             this week a strike has killed scores of
                             Russian personnel.


                      # ⚓ RFERL ☛ Crimean_Tatar_Rights_Activist_Detained⠀⇛


                             Police in the Russian-occupied Ukrainian
                             region of Crimea detained a Crimean Tatar
                             human rights activist, Lutfiye Zudiyeva,
                             after searching her home on February 22, said
                             the Crimean Solidarity human rights groups,
                             of which Zudiyeva is a member.


                      # ⚓ The Straits Times ☛ Debris_from_North_Korean_missile
                        in_Ukraine_could_expose_procurement_networks⠀⇛


                             Many components of the missile were recently
                             manufactured and bore the marks of companies
                             based in the United States.


                      # ⚓ YLE ☛ Finland_to_fly_flags_in_show_of_solidarity_with
                        Ukraine⠀⇛


                             Saturday marks two years since Russia's full-
                             scale invasion of Ukraine.


                      # ⚓ New York Times ☛ Friday_Briefing:_Two_Years_of_War_in
                        Ukraine⠀⇛


                             Also, an attempt at a moon landing.


                      # ⚓ Meduza ☛ Ukraine_strikes_concentration_of_Russian
                        troops_in_Russian-occupied_Ukrainian_territory,_says
                        over_60_casualties_—_Meduza⠀⇛


                      # ⚓ Latvia ☛ Latvia_bans_grain_imports_from_Russia,
                        Belarus⠀⇛


                             On February 22 the Saeima accepted in two
                             readings the ban on imports of agricultural
                             products from Russia and Belarus into Latvia
                             until at least July 2025.


                      # ⚓ Reason ☛ AI_Contracts_Woke_Mind_Virus⠀⇛


                             Plus: Russian sanctions, Finnish gun ranges,
                             Milei supremacy, and more...


                      # ⚓ Atlantic Council ☛ Chinese_exports_have_replaced_the
                        EU_as_the_lifeline_of_Russia’s_economy⠀⇛


                             Two years after the initial invasion,
                             Russia’s imports have stabilized. New
                             industrial and consumer exports from from
                             China have replaced trade from the US, EU,
                             and G7.


                      # ⚓ RFERL ☛ U.S._Charges_Russian_Oligarchs,_State-Owned
                        Bank_CEO,_And_U.S.-Based_'Facilitators'⠀⇛


                             The U.S. Justice Department on February 22
                             announced enforcement actions in five
                             separate federal cases against sanctioned
                             Russian oligarchs and networks supporting
                             Russia.


                      # ⚓ RFERL ☛ U.S._Says_Growing_Iran-Russia_Military_Ties
                        'Should_Concern'_World⠀⇛


                             The United States says increasing military
                             cooperation between Tehran and Moscow is a
                             "concern," amid reports that Iran has
                             delivered multiple shipments of ballistic
                             missiles to Russia.


                      # ⚓ RFERL ☛ Jailed_Kremlin_Critic_Kara-Murza's_Suit_Over
                        Poisoning_Investigation_Rejected⠀⇛


                             A court in Moscow on February 22 rejected a
                             lawsuit filed by imprisoned Kremlin critic
                             Vladimir Kara-Murza that accused the
                             Investigative Committee of inaction in
                             investigating his suspected poisonings.


                      # ⚓ RFERL ☛ Kyrgyz_Lawmakers_Approve_Second_Reading_Of
                        Controversial_Bill_On_'Foreign_Representatives'⠀⇛


                             The Kyrgyz parliament on February 22 approved
                             on second reading a controversial bill that
                             would allow authorities to register
                             organizations as "foreign representatives" in
                             a way that critics say mirrors repressive
                             Russian legislation on so-called foreign
                             agents.


                      # ⚓ RFERL ☛ Russia_Adds_Kyiv-Based_Veteran_Journalist
                        Kiselyov_To_Terrorists_Registry⠀⇛


                             Russian authorities have added a former
                             prominent Russian journalist who currently
                             works for the Kyiv-based Ukrayina 24 TV
                             channel to their list of terrorists and
                             extremists.


                      # ⚓ RFERL ☛ Russian_Movement_Supporting_Jailed_Former
                        Governor_Declared_Extremist⠀⇛


                             A court in Russia's Far Eastern Region of
                             Khabarovsk region on February 22 declared a
                             movement supporting the region's imprisoned
                             former governor, Sergei Furgal, as extremist.


                      # ⚓ teleSUR ☛ Belarus_and_Russia_to_Hold_Joint_Military
                        Drills_in_2025⠀⇛


                             Russian and Belarusian presidents initially
                             proposed to hold joint strategic military
                             exercises once every two years back in 2009.


                      # ⚓ The Straits Times ☛ Armenia_freezes_participation_in
                        Russia-led_security_bloc⠀⇛


                             Armenia has frozen its participation in the
                             Russian-led Collective Security Treaty
                             Organisation (CSTO) because the pact had
                             failed the country, Prime Minister Nikol
                             Pashinyan said in an interview broadcast on
                             Thursday.


                      # ⚓ Meduza ☛ ‘I_could_be_searching_for_him_my_whole
                        life’:_Why_are_the_families_of_missing_Russian_soldiers
                        asking_the_courts_to_declare_them_dead?_—_Meduza⠀⇛


          o § Transparency/Investigative Reporting⠀➾


                # ⚓ The Dissenter ☛ US_Government_Indicts_Journalist_For
                  Uncovering_Unaired_Parts_Of_Tucker_Carlson's_Interview_With
                  Kanye_West⠀⇛


                # ⚓ The Dissenter ☛ VIDEO:_Assange_Awaits_Decision_On
                  Permission_To_Appeal⠀⇛


          o § Environment⠀➾


                # ⚓ The Revelator ☛ Facts_Alone_Won’t_Save_Us⠀⇛


                       But as our planet continues to warm, the number of
                       extinction events increase, and we become further
                       estranged from the rhythms of the natural world,
                       future inspiration from the majesty of nature will
                       be predicated on the swift implementation of
                       enforceable policies that consider the totality of
                       global life and longevity beyond the immediate
                       potential effects on an economic experience some
                       believe they are accustomed to.


                # ⚓ The Kent Stater ☛ Visiting_professor_to_discuss_climate
                  change_psychology_research_in_February_Colloquium⠀⇛


                       Climate change and other environmental action
                       discussions will be on the agenda when David
                       Sherman, a professor for the Department of
                       Psychological & Brain Sciences at the University of
                       California, Santa Barbara, presents his
                       “Environmental Engagement in a Diverse World”
                       speech Feb. 28.


                # § Energy/Transportation⠀➾


                      # ⚓ BIA Net ☛ Report_on_the_gold_mine_disaster_from_the
                        Independent_Mining_Workers'_Union⠀⇛


                             The union prepared a report on İliç, where 9
                             workers were trapped under cyanide-laden
                             soil: "Prior to the incident at 14:28 on
                             February 13, unusual cracks were detected by
                             workers on the heap, on the heap's roads and
                             around the site, documented in photographs,
                             and reported to authorities through both the
                             company's risk notification system and other
                             channels. However, necessary precautions were
                             not taken."


                      # ⚓ Pro Publica ☛ The_Rising_Cost_of_the_Oil_Industry’s
                        Slow_Death⠀⇛


                             In the 165 years since the first American oil
                             well struck black gold, the industry has
                             punched millions of holes in the earth,
                             seeking profits gushing from the ground. Now,
                             those wells are running dry, and a
                             generational bill is coming due.


                             Until wells are properly plugged, many leak
                             oil and brine onto farmland and into
                             waterways and emit toxic and explosive
                             gasses, rendering redevelopment impossible. A
                             noxious lake inundates West Texas ranchland,
                             oil bubbles into a downtown Los Angeles
                             apartment building and gas seeps into the
                             yards of suburban Ohio homes.


                      # ⚓ Deutsche Welle ☛ UK_leaves_pro-fossil_fuel_Energy
                        Charter_Treaty⠀⇛


                             The UK has joined nine EU member states in
                             exiting the Energy Charter Treaty (ECT), a
                             controversial investment pact weaponized by
                             big emitters to sue governments — most
                             recently for phasing out fossil fuels.


                             Following the lead of Germany, Spain, France,
                             Denmark, the Netherlands and others, the UK
                             announced on Thursday that it is leaving the
                             ECT due to its failure to align with "net
                             zero" emission targets.


                # § Wildlife/Nature⠀➾


                      # ⚓ Salon ☛ Monarch_butterfly_populations_are_crashing_—
                        but_we_can_choose_to_do_something_about_it⠀⇛


                             The Mexican government is not alone in
                             noticing the precipitous decline in monarch
                             butterflies. The Xerces Society for
                             Invertebrate Conservation — a group that
                             specializes in protecting insects, arachnids,
                             crustaceans and other arthropods — warned in
                             its annual Western Monarch Count that they
                             only counted 233,394 butterflies at 256
                             overwintering sites compared to last year’s
                             total of over 330,000 butterflies. To put
                             this in perspective, the researchers
                             explained in a press statement that this is
                             "just 5% of their population numbers in the
                             1980s, when low millions were common."


          o § AstroTurf/Lobbying/Politics⠀➾


                # ⚓ New York Times ☛ Secret_Service_Had_to_Adjust_Tactics_to
                  Avoid_Bites_From_Biden’s_Dog⠀⇛


                       Newly released documents recorded at least 24
                       biting episodes before Commander, the president’s
                       German shepherd, was banished from the White House
                       last fall.


                # ⚓ Scoop News Group ☛ DOJ_picks_Princeton_computer_scientist
                  as_its_chief_AI_officer⠀⇛


                       The Department of Justice has tapped Princeton
                       University professor Jonathan Mayer as its first
                       chief artificial intelligence officer and chief
                       science and technology adviser, the agency
                       announced Thursday.


                       The DOJ’s appointment of Mayer — who teaches in
                       Princeton’s computer science department and in its
                       school of public and international affairs —
                       satisfies the White House AI executive order
                       requirement that each of the Chief Financial
                       Officers Act agencies designate a permanent CAIO.
                       FedScoop has tracked the appointments of those AI
                       officials across agencies.


                # ⚓ New Yorker ☛ The_Crazy_Collapse_of_the_House_G.O.P.’s
                  Impeachment_Case_Against_Biden⠀⇛


                       “A Big Russian Intelligence Op” flops on Capitol
                       Hill.


                # § Misinformation/Disinformation/Propaganda⠀➾


                      # ⚓ Gizmodo ☛ No,_Google_Isn’t_Sunsetting_Gmail⠀⇛


                             The fake screenshot has been viewed over 1
                             million times on X at the time of this
                             writing. But, again, this isn’t real. The
                             joke appears to be a photoshopped version of
                             a notice that went out last year notifying
                             users that Gmail Basic HTML view was going
                             away.


                      # ⚓ Gannett ☛ AI_deepfakes_threaten_2024_election._Tech
                        giants_pledge_to_take_action⠀⇛


                             Google, Meta, TikTok and other companies said
                             they would join forces to create tools to
                             detect and debunk election deepfakes. They
                             unveiled the accord as political and security
                             leaders gathered at the Munich Security
                             Conference in Germany.


                             The deepfakes in question are videos, images,
                             and audio that alter or fake the appearance,
                             voice, or actions of political candidates,
                             election officials or other key figures in a
                             democratic election. These alterations can
                             also be used to mislead voters about when,
                             where and how to vote.


          o § Censorship/Free Speech⠀➾


                # ⚓ Techdirt ☛ Prominent_MAGA_Supporter_Is_Worried_New_KOSA
                  Won’t_Suppress_Enough_LGBTQ_Speech⠀⇛


                       By now you know that Senator Richard Blumenthal has
                       released a new version of KOSA, the misleadingly
                       named Kids Online Safety Act, that he pretends
                       fixes all the problems. It doesn’t. It still
                       represents a real threat to speech online, and in
                       particular speech from LGBTQ users. This is why
                       Blumenthal, a prominent Democrat, is putting out
                       press releases including supportive quotes from
                       infamous anti-LGBTQ groups like the Institute for
                       Family Studies and the “American Principles
                       Project” (one of the leading forces behind anti-
                       trans bills across the US). Incredibly, it also has
                       an approving quote from NCOSE, formerly known as
                       “Morality in Media,” a bunch of prudish busybodies
                       who believe all pornography should be banned, and
                       who began life trying to get “salacious” magazines
                       banned.


                # ⚓ Techdirt ☛ Techdirt_Podcast_Episode_381:_KOSA_Isn’t_Just
                  Wrong_About_The_Internet,_It’s_Wrong_About_Child_Safety⠀⇛


                       In our coverage of the problems with KOSA and other
                       legislative pushes to “protect the children”
                       online, we usually (for obvious reasons) come at
                       the subject from the technology side, and look at
                       all the ways these laws misunderstand the internet.
                       But that’s not their only flaw: these proposals
                       also tend to lack any real understanding of child
                       safety. Maureen Flatley is someone who has been
                       vocal from the other side, having covered child
                       safety issues for about as long as we’ve covered
                       tech, and she joins us on this week’s episode to
                       discuss how KOSA and its ilk aren’t rooted in what
                       we really know about keeping kids safe.


                # ⚓ University of Michigan ☛ DMNC_hosts_panel_on_suppression_of
                  pro-Palestine_speech⠀⇛


                       University of Michigan students, faculty and staff
                       gathered in the Modern Language Building Wednesday
                       afternoon to attend the first panel in a series
                       called “Conversations on Academic and Intellectual
                       Freedom: Current Issues,” focused on examining
                       general principles of freedom of speech and
                       censorship on college campuses.


                # ⚓ India Times ☛ X_compliance:_X_disagrees_with_govt_blocking
                  orders_for_certain_posts_and_accounts,_but_complies⠀⇛


                       The government has asked social media intermediary
                       X (formerly Twitter) to block certain accounts and
                       posts on its platform, the company said. Failure to
                       do so would result in “potential penalties
                       including significant fines and imprisonment,” the
                       company’s global government affairs team said in a
                       post on the platform.


                # ⚓ US News And World Report ☛ Pakistan_Blocks_X_for_the_Sixth
                  Day_as_Activists_Criticize_the_Social_Media_Platform's
                  Shutdown⠀⇛


                       Pakistan's media regulators have blocked the social
                       media platform X, formerly Twitter, with users
                       across the country on Thursday enduring the sixth
                       day of sweeping disruptions, partial and complete
                       shutdowns.


                       There was no comment on the outage by the Pakistan
                       Telecommunication Authority and government
                       officials have not responded to repeated queries
                       from The Associated Press for comment.


                # ⚓ Vice Media Group ☛ X_Suspends,_Then_Reinstates,_Alexei
                  Navalny’s_Widow_After_Pledge_to_Continue_Anti-Putin
                  Politician’s_Work⠀⇛


                       Prior to the suspension, Navalnaya released a video
                       on multiple social media platforms pledging to
                       continue her late husband’s work to unseat Russian
                       President Vladimir Putin. In the video, which
                       advertised social media accounts on Instagram and
                       X, Navalnaya said Putin was responsible for her
                       husband’s death, and pledged to expose the full
                       details.


                # ⚓ Gannett ☛ West_Virginia_bill:_Librarians_face_prosecution
                  over_'obscene'_books⠀⇛


                       A West Virginia bill is moving forward that would
                       allow librarians and teachers to be criminally
                       liable if minors obtain books with "obscene
                       material."


                       HB 4654 passed in the West Virginia House of
                       Delegates last week and has been introduced to the
                       Senate. The bill would erase criminal liability
                       protections for public libraries, museums and
                       schools that display "obscene matter to a minor,"
                       when the child is not accompanied by a parent or
                       guardian.


                # ⚓ Techdirt ☛ Mayor_Adams_Files_Ridiculously_Stupid,_Dangerous
                  Lawsuit_Against_Social_Media,_Claiming_It’s_A_Public
                  Nuisance⠀⇛


                       Every time we think it can’t possibly get dumber,
                       it does. Last month, we wrote about the absolute
                       nonsense in which New York City mayor Eric Adams
                       declared social media a public health hazard, akin
                       to toxic waste. As we noted at the time, this was
                       in the midst of a variety of scandals of his own
                       making and contrary to all of the actual evidence
                       about social media.


                # ⚓ Techdirt ☛ Social_Media_Isn’t_A_Shopping_Mall⠀⇛


                       Something strange is happening in the legal
                       academy, and we’re worried about it. On January 23,
                       2024, the progressive policy organization American
                       Economic Liberties Project filed an amicus brief in
                       the Supreme Court case NetChoice v. Paxton, in
                       support of a Texas law prohibiting social media
                       companies from moderating – “censoring” in the
                       words of the law – the speech of their users,
                       especially conservatives. The brief was joined by
                       several prominent progressive law professors from
                       Harvard (Larry Lessig), Columbia (Tim Wu and
                       Richard John), Fordham (Zephyr Teachout), and Emory
                       (Matthew Lawrence).


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


                # ⚓ The Verge ☛ Vice_is_abandoning Vice.com and_laying_off
                  hundreds⠀⇛


                       After nearly three decades, Vice will stop
                       publishing stories to its website. Vice Media CEO
                       Bruce Dixon said today that the company is going to
                       lay off hundreds of employees as it plans a shift
                       toward social platforms, according to a memo to
                       employees obtained by Washington Post reporter Will
                       Sommer.


                # ⚓ Truthdig ☛ What's_Next_for_Julian_Assange⠀⇛


                       The hearings on Julian Assange’s appeal request
                       ended yesterday, as expected, without closure. “We
                       will reserve our decision,” said one of the two
                       presiding judges. The choice to delay an
                       announcement may have been influenced by the
                       presence of several hundred Assange supporters
                       gathered at the heavily policed entrance of the
                       neo-Gothic Royal Courts building in Westminster.


                       A cold drizzle had thinned the previous day’s crowd
                       of a thousand or more, but not by much. The lawyers
                       arguing the U.S. government’s extradition request
                       had to exit the court under escort through the
                       chants and jeers, eyes straight ahead, pretending
                       not to see the placards with Assange’s face next to
                       sentences like JOURNALISM VS. WAR CRIMES: DON’T LET
                       THE WAR CRIMES WIN and R.I.P. BRITISH JUSTICE: 1215
                       — 2012.


                # ⚓ EFF ☛ Is_the_Justice_Department_Even_Following_Its_Own
                  Policy_in_Cybercrime_Prosecution_of_a_Journalist?⠀⇛


                       Following an FBI raid of his home last year, the
                       freelance journalist Tim Burke has been arrested
                       and indicted in connection with an investigation
                       into leaks of unaired footage from Fox News. The
                       raid raised questions about whether Burke was being
                       investigated for First Amendment-protected
                       journalistic activities, and EFF joined a letter
                       calling on the Justice Department to explain
                       whether and how it believed Burke had actually
                       engaged in wrongdoing. Although the government has
                       now charged Burke, these questions remain,
                       including whether the prosecution is consistent
                       with the DOJ’s much-vaunted policy for charging
                       criminal violations of the Computer Fraud and Abuse
                       Act (CFAA).


                # ⚓ The Hill ☛ Russian_hackers_attack_Ukrainian_media_outlets⠀⇛


                       Several Ukrainian media outlets were attacked by
                       Russian hackers this week, posting misinformation
                       about the ongoing war between the two countries.


                       Ukrainska Pravda, one of the largest online
                       Ukrainian newspapers, and Liga.net, a business
                       media site, were hacked in recent days. Ukraine’s
                       cybersecurity agency confirmed via Telegram that
                       the hacks came from Russia.


                # ⚓ Scheerpost ☛ Julian_Assange_Extradition_Hearing_Panel_ft.
                  Chris_Hedges,_Craig_Murray_and_More⠀⇛


                       This is a panel discussion I took part in with
                       former UK Ambassador Craig Murray and other
                       diplomats, activists and journalists following the
                       first day of Julian Assange’s final appeal hearing.


                # ⚓ CPJ ☛ At_least_4_journalists_briefly_detained_in_Russia
                  over_memorials_to_Navalny ⠀⇛


                       At least four journalists were briefly detained
                       last Friday and Saturday while reporting on
                       gatherings to mourn Navalny’s sudden death in
                       prison on Friday, February 16, according to media
                       reports and three of the journalists, who spoke to
                       CPJ via messaging app.


          o § Civil Rights/Policing⠀➾


                # ⚓ Politico ☛ Staff_unions_call_for_EU_personnel_agency_boss
                  to_quit⠀⇛


                       Several labor groups representing EU staffers are
                       calling for the resignation of Minna Vuorio, the
                       head of the EU’s personnel agency EPSO.


                       In a letter dated Feb. 14 and seen by POLITICO,
                       three unions expressed “deep concern and
                       dissatisfaction with its current management,” and
                       called for a change in mindset and new leadership
                       at EPSO to “restore faith in the EU institutions.”


                       The European Personnel Selection Office is the
                       gateway to a career in the EU civil service, as it
                       organizes recruitment for institutions such as the
                       European Commission, the European Parliament, the
                       Council of the EU, and the EU’s foreign policy
                       service (EEAS).


                # ⚓ EDRI ☛ When_law_enforcement_undermines_our_digital_safety,
                  who_is_looking_after_our_interests?⠀⇛


                       Imagine your friend sent you a private DM on
                       Twitter. Now imagine, instead of the content
                       remaining for your eyes only, Ex-Twitter letting
                       the police also take a peek at it.


                       Such intrusive practices of state actors accessing
                       private messages have grave consequences for our
                       lives. Some people can be physically harmed, and
                       for some, it can mean that their families and
                       friends could get prosecuted.


                # ⚓ EDRI ☛ EDRi-gram,_21_february_2024⠀⇛


                       In this edition, we share with you our concerns
                       about the Irish media regulator’s Online Safety
                       Code and the sledgehammer approach of age
                       verification tools. Also, earlier this month, the
                       EU Parliament voted on the agreement on automated
                       data exchange for police cooperation, known as
                       ‘Prüm II’. What does this framework, and the
                       broader securitisation mindset it represents, mean
                       for our fundamental rights?


                # ⚓ Pro Publica ☛ Idaho_Resolution_Would_Aim_to_Lower_Voting
                  Threshold_to_Pass_School_Bonds⠀⇛


                       For decades, school districts across Idaho have
                       struggled to pass bonds to repair and replace their
                       aging, crumbling buildings. A legislative proposal
                       introduced Wednesday could change that by starting
                       the process of lowering the vote threshold school
                       districts need to pass a bond.


                       Idaho is one of only two states that require two-
                       thirds of voters to support a bond for it to pass.
                       Most states require either a majority or 60% of
                       voters.


                # ⚓ FAIR ☛ ‘Disenfranchised,_Under-Resourced_Populations_Are
                  Burdened_With_Enforcing_Major_Federal_Regulation’⠀⇛


                       Janine Jackson interviewed Ariel Adelman about
                       disability and civil rights for the February 16,
                       2024, episode of CounterSpin. This is a lightly
                       edited transcript.


                # § Legal⠀➾


                      # ⚓ Omicron Limited ☛ A_500-year-old_law_laid_the
                        foundation_for_how_Norwegians_understand—and_trust—the
                        law_today⠀⇛


                             One of the reasons the Norwegian Code of the
                             Realm gained such a firm foothold was that it
                             was established locally. The Code states that
                             "only a fool keeps to the letter of the law
                             if the law is too strict or too lenient."
                             Instead, the Code was to be used to pass fair
                             judgment, and the text was intended as a
                             starting point that could then be adapted
                             locally.


                             The way it worked was that law speakers
                             appointed by the King traveled around and
                             collaborated with local lay judges to pass
                             judgments.


                             In other words, the Norwegian Code of the
                             Realm facilitated the use of discretion.


                             "And when the law facilitates the use of
                             discretion, it also facilitates dialogue,"
                             says Erik Opsahl.


                             The Norwegian Code of the Realm laid the
                             foundation for trust in the judicial system.


                      # ⚓ Pro Publica ☛ This_Mississippi_Court_Appoints_Lawyers
                        for_Just_1_in_5_Defendants_Before_Indictment⠀⇛


                             The right to an attorney is fundamental to
                             the U.S. justice system. Yet, in a small
                             Mississippi court off the interstate between
                             Jackson and Memphis, that right is tenuous.


                             The two judges in Yalobusha County Justice
                             Court appointed lawyers for just 20% of the
                             five dozen felony defendants who came before
                             them in 2022, according to a review of court
                             records; nationally, experts estimate that
                             lawyers are appointed to at least 80% of
                             felony defendants at some point in the legal
                             process because they’re deemed poor. In this
                             court, the way these two judges decide who
                             gets a court-appointed attorney appears to
                             violate state rules meant to protect
                             defendants’ rights. A few defendants have
                             even been forced to represent themselves in
                             key hearings.


          o § Internet Policy/Net Neutrality⠀➾


                # ⚓ European Commission ☛ Statement_by_EVP_Margrethe_Vestager
                  on_the_future_of_digital_networks⠀⇛


                       Today, we present a white paper on Europe's digital
                       infrastructure needs, and a recommendation on
                       Submarine Cable Infrastructure.


                # ⚓ APNIC ☛ [Podcast]_Taking_the_pulse_of_the_Internet⠀⇛


                       Investigating the hard measurements and soft
                       indicators of ISOC's Pulse platform.


                # ⚓ The Register UK ☛ EU_wants_to_make_undersea_[Internet]
                  cables_more_resilient⠀⇛


                       There are no detailed procedures to follow, and the
                       strategy calls for EU members to pay more attention
                       to submarine infrastructure and perhaps help fund
                       important projects.


                       The Commission notes that European economies and
                       societies are increasingly reliant on the
                       [Internet] and international connectivity, and that
                       submarine cable infrastructure is a significant
                       element in this, as the vast majority of
                       international data traffic is carried through these
                       cables.


      § Monopolies/Monopsonies⠀➾


          o § Patents⠀➾


                # ⚓ Patent_Eligibility_Limits_are_Vital_to_Innovation,
                  Prosperity,_and_Public_Health⠀⇛


                       A few weeks ago, several public interest
                       organizations including the Public Interest Patent
                       Law Institute (PIPLI), the American Civil Liberties
                       Union (ACLU), Electronic Frontier Foundation (EFF),
                       Generation Patient, Public Citizen, and the R
                       Street Institute sent a letter to U.S. Senators
                       Dick Durbin, Chris Coons, and Thom Tillis, as well
                       as U.S. Representatives Darrell Issa [...]


                # ⚓ Unified Patents ☛ $2,000_awarded_for_InfoGation_navigation
                  patent_monopoly_prior_art⠀⇛


                       Unified is pleased to announce PATROLL
                       crowdsourcing contest winners, Ekta_Aswal and
                       Dinesh Swami, who split a $2,000 award for their
                       prior art submissions on U.S._Patent_10,107,628,
                       owned by InfoGation Corporation, an NPE.


                # ⚓ Tom's Hardware ☛ Cooler_Master_sues_competitors_for
                  infringing_on_patented_pump-inside-radiator_cooler_design⠀⇛


                       Cooler Master is suing three cooler manufacturers
                       for supposedly infringing on its patented cooler
                       designs surrounding its pump-in radiator
                       architecture.


                # ⚓ JUVE ☛ Volkswagen_accepts_5G_licence_from_Avanci_with
                  little_resistance⠀⇛


                       Two years after the Volkswagen Group accepted a 4G
                       licence from Avanci, the car giant has now signed a
                       5G licence with the patent monopoly pool. However,
                       according to JUVE Patent information, unlike in the
                       years from 2019 to 2022 no intense patent monopoly
                       litigation preceded the current agreement.


                # ⚓ The Hindu ☛ Utility_patent_for_Marut’s_direct_seeding
                  drone⠀⇛


                       The drone, fitted with a multi-nozzle aerial seed
                       dispensing device, obtained the patent following
                       scientific validation by PJTSAU, which also
                       released the standard operating procedures for
                       their use. This validation underscores the
                       reliability and efficacy of the technology in
                       enhancing rice production, Marut Drones said on the
                       patent that has been issued for a term of 20 years
                       from November 29, 2021 under the provisions of the
                       Patents Act, 1970.


                # ⚓ EPO_staff_vote_through_resolution_urging_quality_control⠀⇛


                       The resolution, which hints at a close link between
                       work pressure on staff and patent quality, received
                       overwhelming support


                # § Kangaroo Courts⠀➾


                      # ⚓ Weekly_take:_Secretive_UPC_flies_in_face_of_open
                        justice [Ed: UPC is illegal and should not even
                        exist]⠀⇛


                             The UPC judges are wrong – restricting access
                             to court documents, and making parties
                             appoint a lawyer only to have a chance of
                             seeing them, is madness


          o § Trademarks⠀➾


                # ⚓ TTAB Blog ☛ TTABlog_Test:_How_Did_These_Three_Recent_2(d)
                  Appeals_Turn_Out?⠀⇛


                       People are saying that one can predict the outcome
                       of a Section 2(d) appeal about 95 percent of the
                       time just by looking at the marks and the goods
                       and/or services. Here are the three Section 2(d)
                       appeals recently decided by the TTAB. How do you
                       think these three came out? [Answers in first
                       comment.]


          o § Copyrights⠀➾


                # ⚓ Michael Geist ☛ More_Free_Money:_Media_Lobby_Campaigning
                  For_Even_More_Government_Funding,_Grants_and_Tax_Reform⠀⇛


                       The proverbial ink is barely dry on the disastrous
                       Bill C-18, yet the Canadian media lobby has already
                       moved onto the next targets for government funding,
                       grants, and tax reform. The effort, which is
                       seemingly designed to ensure that government
                       funding or regulation cover the entire cost of
                       news, focuses on extending grants, expanding
                       provincial tax credits, and overhauling the tax
                       treatment of ad spending. It has hard to overstate
                       how dangerous these policies have become as the
                       sector’s addiction to government funding and
                       regulation has come at an enormous cost that erodes
                       public trust and created dependence on the very
                       governments the press is supposed to hold to
                       account.


                # ⚓ Torrent Freak ☛ Record_Labels:_'Hisses_&_Crackles'_Are_No
                  License_to_Copy_&_Digitize_Old_Records⠀⇛


                       Record labels have responded to Internet Archive's
                       motion to dismiss 'expired' ‘Great 78 Project‘
                       copyright infringement claims. The music companies,
                       including UMG and Sony, counter the statute of
                       limitations argument. In addition, they stress that
                       "hisses, crackles, and pops" on old records are
                       flaws, not a license to copy and digitize the
                       music.


                # ⚓ Torrent Freak ☛ IPTV_Piracy_Group_Members_Arrested_For
                  Signal_Theft,_Fraud,_Money_Laundering⠀⇛


                       Officers of the Quebec Provincial Police (Sûreté du
                       Québec) carried out raids this week against
                       suspected members of an IPTV piracy group operating
                       in Canada. At least five people were arrested on
                       suspicion of various crimes including theft of
                       telecommunications services, fraud, and money
                       laundering. A key suspect targeted in an earlier
                       operation was out of the country. The action
                       follows a criminal complaint filed by companies
                       including Bell, Videotron, and Rogers.


                # ⚓ Techdirt ☛ Fake_Entities_Are_Still_Abusing_The_DMCA
                  Takedown_Process_To_Hide_Facts_They_Don’t_Like⠀⇛


                       The DMCA process remains as easily abused as ever,
                       even as companies like Google (and, especially,
                       Automattic) do what they can to head off this
                       abuse.


                       It’s a numbers game. When you’re the size of
                       Google, it’s impossible to vet every takedown
                       demand. The easiest thing to do is comply
                       immediately and, if need be, reinstate content when
                       these demands are contested. But that puts the
                       burden on proof on those whose content has been
                       illegitimately removed, rather than on those who
                       are issuing the takedowns.


                       It’s all the wrong way around, but the incumbents
                       hold all the power. For years, lobbying efforts and
                       misguided legislators have managed to turn a
                       process that was supposed to be equitable into one
                       where content removal requests are honored and
                       follow-up questions are never asked.


                # ⚓ Techdirt ☛ UK_Court_Ruling_Has_Potential_To_Free_Up_The
                  Public_Domain;_But_Museums_Might_Still_Block_It⠀⇛


                       This touches on a topic that Walled Culture has
                       written about many times: the fact that many
                       museums and art galleries around the world try to
                       claim copyright on faithful reproductions of
                       artistic creations in their collections that are
                       unequivocally in the public domain. Their argument,
                       such as it is, seems to be that taking a digital
                       photo or making a 3D copy requires such an immense
                       intellectual effort that a new monopoly should be
                       granted on it. It’s really about money, of course.


                       The Creative Commons post mentions “A Culture of
                       Copyright”, a useful report by Dr. Andrea Wallace
                       that looked at how widespread the problem was in
                       the UK. The blog post also refers to a CC Open
                       Culture Platform working group that developed
                       proposals for “technical, legal, and social
                       interventions” to address the problem of “PD BY”
                       (that is, the use of CC-BY licenses to share
                       reproductions of public domain works).




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