𝕿𝖊𝖈𝖍𝖗𝖎𝖌𝖍𝖙𝖘 Bulletin for Thursday, December 22, 2022 ┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅ Generated Fri 23 Dec 02:44:20 GMT 2022 Created by Dr. Roy Schestowitz (𝚛𝚘𝚢 (at) 𝚜𝚌𝚑𝚎𝚜𝚝𝚘𝚠𝚒𝚝𝚣 (dot) 𝚌𝚘𝚖) Full hyperlinks for navigation omitted but are fully available in the originals The corresponding HTML versions are at 𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈 Latest in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒕𝒙𝒕 and older bulletins can be found at 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒕𝒙𝒕-𝒂𝒓𝒄𝒉𝒊𝒗𝒆𝒔 Full IPFS index in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒊𝒑𝒇𝒔 and as plain text in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒊𝒑𝒇𝒔/𝒕𝒙𝒕 Gemini index for the day: gemini://gemini.techrights.org/2022/12/22/ ╒═══════════════════ 𝐑𝐄𝐂𝐄𝐍𝐓 𝐁𝐔𝐋𝐋𝐄𝐓𝐈𝐍𝐒 ════════════════════════════════════╕ Previous bulletins in IPFS (past 21 days, in chronological order): QmbPTsZioPtTXeNWAZ3ALomNL4TBHGpogkpqcBMt1XfHcK QmYfN5RSjFSUavYPSs8WzFFWaWumk8hYAfuw6kpmXGe13e QmW2j2ckzmovo3T5PVVEPyCDY6cxTKFEYB2dhVvwPkm1n7 QmTyKJ8ueXdR2ThkLMDuN6zbrTdYNb2WE4A3bWb3nThabk QmUT1CDXsiCQqLRdwHpHpoJJqSGBqjbHvUXKGRHpv1w5gX QmXRyhQvsYF5K1BmNnXd3xbo53qK3sj8L46ar78ZSMZE11 Qme6wheEKimQwauNrUa2HdWuHW39unWrCNHkenNBZynvWf QmQHZvL9iG7GQCdxV1Zkr1SFySsQJaamRJ7AYK9BphiEMQ QmcFHsyQGaiMfwHfdP4bVFof2wQaKcG3nTnFVodehzsUrf QmRDqLW6m2gg8NR4aFbzPgtLMjZfkcdrwfoBbBrENHTXKj Qmcj5EHanYd6dSt2degUEWTEyqqoyygQduM5qxSoUY9tbQ QmdRJwsbsXgydBbvrvinQ8ybSqJWBJpS39D3VBcY5DSd3G Qmb4EjHKEYahRXurhmzoyhxRGEPvXqTA7AcQPuzLrKfJGh QmeFrf4tqX8a5FgfN4cMTHFas3gdjg8g34A9iryCnBvtMG QmVK3bkZbD5g3xuJVLcQEb4nbz82bgKPeuhqrZfSGDbnWj QmcMmjkkKEkp8tPhvcRuQqQEthfDb2Nksw3RYrGfjUfw3Q QmfQQhspUHkt3SuJBA5fzqjRPqzZGW5MrbYgrDoP7udz1f QmVUTRpCU7PcTDC7kj2yHWWkV5Mhg6XD2yLq9ekqQv4xj5 QmVwJZvv6r7xzdhVLH4kTyoCkuFgsArexoVuFbayx9A5N5 QmNhjQG4XJrooeuqLbPUPR9RtcgJkwZXoswD1oPWfgY7kD QmX23uBSayrQrZ3iRx2A9hTusXL5Qh1iQYgKiEFEXVheje ╒═══════════════════ 𝐈𝐍𝐃𝐄𝐗 ═══════════════════════════════════════════════════╕ ⦿ Human Resources (HR) as Pretext and Weapon Against Staff | Techrights ⦿ IRC Proceedings: Wednesday, December 21, 2022 | Techrights ⦿ [Meme] What You Call a Person Who Lies a Lot | Techrights ⦿ [Meme] Milking Technical People at Sirius ‘Open Source’ for Minuscule Salaries | Techrights ⦿ Sirius a One-Way Relationship (or a Three-Way Relationship at the Top) | Techrights ䷼ Bulletin articles (as HTML) to comment on (requires login): http://techrights.org/2022/12/22/human-resources-versus-staff/#comments http://techrights.org/2022/12/22/irc-log-211222/#comments http://techrights.org/2022/12/22/person-who-lies-a-lot/#comments http://techrights.org/2022/12/22/sirius-minuscule-salaries/#comments http://techrights.org/2022/12/22/sirius-open-source-1-way-relationship/#comments ䷞ Followed by Daily Links (assorted news picks curated and categorised): http://techrights.org/2022/12/22/adaptable-linux-platform/#comments http://techrights.org/2022/12/22/fedora-linux-37-election-results/#comments http://techrights.org/2022/12/22/steamos-3-4-for-steam-deck/#comments ䷩ 𝚕𝚒𝚗𝚎 61 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at http://techrights.org/2022/12/22/human-resources-versus-staff/#comments Gemini version at gemini://gemini.techrights.org/2022/12/22/human-resources-versus-staff/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 12.22.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ Human_Resources_(HR)_as_Pretext_and_Weapon_Against_Staff⠀✐ Posted in Deception, Free/Libre_Software at 12:23 am by Dr. Roy Schestowitz Video_download_link | md5sum 0c301ce0818bf40fea64e7c3f7de0520 A Demolition Job in Sirius Creative Commons Attribution-No Derivative Works 4.0 http://techrights.org/videos/when-companies-self-destruct.webm Summary: Like we’ve seen at the European Patent Office (EPO), the people who view individuals as “resources” (to be sold) are there to undermine_the interests of those “resources”; just like at the EPO, in Sirius (which I_left this_month) these “resources” were treated poorly and their right to free speech (or freedom of expression) was denied THE situation — communications-wise — at Sirius_‘Open_Source’ can be characterised as dishonesty, outright lying, and cover-up. Many failures are being plastered over. Those aren’t ‘white lies’ or benign spin; they misinform people to keep them onboard and mislead clients, who may otherwise choose more wisely who to trust. The term Human Resources (HR) is offensive for all sorts of reasons. As workers of the EPO quickly find out upon arrival, Human Resources people actively work against the staff. They undermine workers’ rights. “No lawyers were being consulted by the company until it was too late; the company’s management single-handedly doomed the company. It seems unlikely to survive until its next (25th) anniversary.”Sirius does not have Human Resources staff; it outsources this function. In companies with a Human Resources department there’s generally an interest/incentive at HR to keep the company in tact, otherwise that department too will be out of work. No workers? Then no HR! But when it’s outsourced the logistics change a lot. The lesson to take from this is, when companies try to behave in this way the time is right to leave. No lawyers were being consulted by the company until it was too late; the company’s management single-handedly doomed the company. It seems unlikely to survive until its next (25th) anniversary. █ ䷩ 𝚕𝚒𝚗𝚎 123 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at http://techrights.org/2022/12/22/irc-log-211222/#comments Gemini version at gemini://gemini.techrights.org/2022/12/22/irc-log-211222/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 12.22.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ IRC_Proceedings:_Wednesday,_December_21,_2022⠀✐ Posted in IRC_Logs at 4:17 am by Needs Sunlight Also available via the Gemini protocol at: * gemini://gemini.techrights.org/irc-gmi/irc-log-techrights-211222.gmi * gemini://gemini.techrights.org/irc-gmi/irc-log-211222.gmi * gemini://gemini.techrights.org/irc-gmi/irc-log-social-211222.gmi * gemini://gemini.techrights.org/irc-gmi/irc-log-techbytes-211222.gmi Over HTTP: 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇H 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇HTML5_logs⦈_ #techrights_log_as_HTML5 #boycottnovell_log_as_HTML5 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇H 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12.22.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ [Meme]_What_You_Call_a_Person_Who_Lies_a_Lot⠀✐ Posted in Deception, Free/Libre_Software at 9:29 am by Dr. Roy Schestowitz 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇He said my lies; Make me a liar⦈ Summary: At Sirius_‘Open_Source’ lying is considered OK, but opposing lies is not OK ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠾⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣤⣀⡀⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⢀⡀⠀⠐⠀⠠⣤⣴⡆⣶⣶⢶⣒⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣦⡀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⠂⠀⠀⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣴⣶⣶⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⡄⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⡄⠀⠈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣇⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣾⣿⣷⣶⡆⢱⣶⡎⢱⣶⣶⣶⠀⠀⠀⣠⣶⢶⣦⡄⠀⣰⣶⣶⡄⠀⢰⣶⠀⢰⣶⣶⣦⣄⠀⠀⠀⢰⣶⣶⠀⣶⣶⡆⠐⣶⡆⢰⣶⠂⠀⠀⣶⣶⠀⠀⣶⣶⠀⢰⣶⣶⡆⢀⣴⡶⢶⣮⢻⣿⣿⣿⣿⣿⣿ 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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣷⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠈⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⢹⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡿⣾⣷⣶⡆⢱⣶⡎⢱⣶⣶⣶⠀⠀⠀⣠⣶⢶⣦⡀⠀⢰⣶⣶⡆⠀⢰⣶⠀⢰⣶⣶⣦⣄⠀⠀⠀⢰⣶⣶⠀⣶⣶⡆⠐⣶⡆⢰⣶⠂⠀⠀⣶⣶⠀⠀⣶⣶⠀⢰⣶⣶⡆⢀⣴⡶⢶⣮⢻⣿⣿⣿⣿⣿⣿ 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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣷⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠇⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⢿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠙⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣻⣿⣟⣷⣿⣿⣿⣿⣟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣺⢾⢵⣶⡆⢱⣶⡎⢷⣶⣶⣶⠀⠀⠀⣠⣶⢶⣦⡀⠀⢰⣶⣶⡆⠀⢰⣶⠀⢰⣶⡶⣦⣄⠀⠀⠀⢰⣶⣶⠀⣶⣶⡆⠐⣶⡆⢰⣶⠂⠀⠀⣶⣶⠀⠀⢰⣶⠀⢰⣶⣶⡆⢀⣴⡶⢶⣮⢻⣿⣿⣿⣿⣿⣿ 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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⢿⣛⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣫⣾⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠘⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡹⠛⠛⠛⢿⣽⣿⣿⣿⠷⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠁⠈⠀⢴⣶⡆⢱⣶⡆⢰⣶⣶⣶⠀⠀⠀⣠⣶⢶⣦⡀⠀⢰⣶⣶⡆⠀⢰⣶⠀⢰⣶⡶⣦⣄⠀⠀⠀⢰⣶⣶⠀⣶⣶⡆⠐⣶⡆⢠⣶⠂⠀⠀⣶⣶⠀⠀⢰⣶⠀⢰⣶⣶⡆⢀⣴⡶⢶⣮⢻⣿⣿⣿⣿⣿⣿ ⣿⡿⠄⠐⡂⢸⣿⣇⣸⣿⡇⠸⣿⡇⠀⠀⠀⠀⣿⣧⡀⠛⠃⠀⣿⡇⢿⡇⠀⢸⣿⠀⢸⣿⠀⢸⣿⠀⠀⠀⢸⣿⢿⠀⣿⣿⡇⠀⢹⡇⣸⡏⠀⠀⠀⣿⣿⠀⠀⣿⣿⠀⢸⣿⠀⠀⠸⣿⣇⡘⣛⣸⣿⣿⣿⣿⣿⣿ ⠏⠁⠀⠀⠀⢸⣿⡿⢿⣿⡇⠀⣿⡿⣿⣀⠀⠀⠈⠛⢿⣷⡄⢀⣿⡇⢸⣷⠀⢸⣿⠀⢸⣿⠀⢸⣿⠀⠀⠀⢸⣿⢸⣷⡇⢿⡇⠀⠈⣿⣿⠀⠀⠀⠀⣿⣿⠀⠀⢹⣿⠀⢸⣿⠿⠇⠐⠝⠻⣿⣦⣹⣿⣿⣿⣿⣿⣿ ⡀⣑⢂⡀⣹⢸⣿⡇⢸⣿⡇⢰⣿⣇⣛⡋⠀⠀⣿⣧⢀⣿⡇⢸⣿⡿⢿⣿⡀⢸⣿⠀⢸⣿⡀⣸⣿⠀⠀⠀⢸⣿⠈⣿⠃⢸⡇⠀⠀⣿⣿⠀⠀⠀⠀⣿⣿⣀⠀⣼⣿⠀⢸⣿⣀⣀⠘⣿⡇⢸⣿⡇⣿⣿⣿⣿⣿⣿ ⣼⣿⣿⣿⣿⣞⣛⣃⣘⣛⣃⣈⣛⣛⣛⣁⠀⠀⠈⠛⠛⠛⠁⠘⠛⠀⠘⠛⠃⠘⠛⠀⠘⠛⠛⠋⠉⠀⠀⠀⠘⠋⠀⠛⠀⠙⠃⠀⠀⠙⠛⠀⠀⠀⠀⠛⠛⠛⠀⠛⠛⠀⠘⠛⠛⠋⠀⢙⣛⣛⣫⣾⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⣶⣿⣿⢞⣯⡷⣯⣽⡟⠛⢻⣾⣛⣲⡒⢲⣤⣤⣽⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⢿⢻⣂⢘⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⠿⠻⠓⣈⣺⣿⣿⣿⣿⣿⣿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⠁⠘⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣟⠛⢻⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡉⠉⠉⠁⠀⣸⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠀⠀⠀⢰⣶⡆⢰⣶⡎⢱⣶⣶⣶⠀⠀⠀⣠⣶⢶⣦⡀⠀⢰⣶⣶⡄⠀⢰⣶⠀⢰⣶⡶⣦⣄⠀⠀⠀⢰⣶⣶⠀⣴⣶⡆⠐⣶⡆⢠⣶⠂⠀⠀⣶⣶⠀⠀⢰⣶⠀⢰⣶⣶⡆⠀⣴⡶⢶⣮⢻⣿⣿⣿⣿⣿⣿ ⣿⡟⠀⠀⠀⢸⣿⣇⣸⣿⡇⢸⣿⡇⠀⠀⠀⠀⣿⣧⡀⠛⠃⠀⣿⡇⢻⡇⠀⢸⣿⠀⢸⣿⠀⢸⣿⠀⠀⠀⢸⣿⢿⠀⡿⣿⡇⠀⢹⡇⣸⡏⠀⠀⠀⣿⣿⠀⠀⢸⣿⠀⢸⣿⠀⠀⠸⣿⣇⡘⣛⣸⣿⣿⣿⣿⣿⣿ ⠉⠀⠀⠀⠀⢸⣿⡿⢿⣿⡇⠘⣿⡟⠛⠀⠀⠀⠈⠛⢿⣷⡄⢀⣿⡇⢸⣷⠀⢸⣿⠀⢸⣿⠀⢸⣿⠀⠀⠀⢸⣿⢸⣷⡇⣿⡇⠀⠈⣿⣿⠁⠀⠀⠀⣿⣿⠀⠀⢿⣿⠀⢸⣿⠿⠇⠀⠝⠻⣿⣦⠹⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢸⣿⡇⢸⣿⡇⢀⣿⣇⣐⡀⠀⠀⣿⣧⠀⣿⡇⢸⣿⡗⢻⣿⡀⢸⣿⠀⢸⣿⠀⣸⣿⠀⠀⠀⢸⡿⠈⣿⠃⢹⡇⠀⠀⣿⣿⠀⠀⠀⠀⣿⣿⣀⠀⢸⣿⠀⢸⣿⣀⣀⠘⣿⡇⢸⣿⡇⣿⣿⣿⣿⣿⣿ ⣀⣶⠲⣶⡄⣜⠛⠃⣘⣛⣃⣈⠛⠛⢛⡁⠀⠀⠈⠛⠛⠛⠁⠘⠛⠀⠘⠛⠃⠘⠛⠀⠘⠛⠛⠋⠉⠀⠀⠀⠘⠁⠀⠉⠀⠘⠃⠀⠀⠙⠛⠀⠀⠀⠀⠛⠛⠛⠀⠘⠛⠀⠘⠛⠛⠛⠀⠙⣛⣛⣫⣾⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⣀⢐⣼⢞⣯⡶⣧⡭⠟⠛⢉⣮⣓⣲⡒⢢⣤⣄⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣞⣿⣾⢿⢙⠛⡀⢐⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⠿⠒⠃⣀⣰⣿⣿⣿⣿⣿⣿⣧⢴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣷⣦⣾⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡦⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠀⠀⠀⠙⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡏⠋⢹⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡉⠉⠉⠁⠀⣨⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠀⠀⠀⢰⣶⡆⢰⣶⡎⣳⣶⣶⣶⠀⠀⠀⣠⣶⠶⣦⡀⠀⢰⣶⣶⡄⠀⢰⣶⠀⢰⣶⡶⣦⣄⠀⠀⠀⢰⣶⣶⠀⣴⣶⡆⠐⣶⡆⢠⣶⠂⠀⠀⣶⣶⠀⠀⢰⣶⠀⢰⣶⣶⡆⠀⣴⡶⢶⣮⢻⣿⣿⣿⣿⣿⣿ ⢿⠏⠀⠀⠀⢸⣿⣇⣸⣿⡇⢽⣿⡇⠀⠀⠀⠀⢿⣧⡀⠛⠃⠀⣿⡇⢿⡇⠀⢸⣿⠀⢸⣿⠀⢸⣿⠀⠀⠀⢸⣿⢿⠀⡿⣿⡇⠀⢹⡇⣸⡏⠀⠀⠀⣿⣿⠀⠀⢸⣿⠀⢸⣿⠀⠀⠸⣿⣇⡘⣛⣸⣿⣿⣿⣿⣿⣿ ⠈⠀⠀⠀⠀⢸⣿⡿⢿⣿⡇⠸⣿⡟⠛⠀⠀⠀⠈⠛⢿⣷⡄⢀⣿⠇⢸⣷⠀⢸⣿⠀⢸⣿⠀⢸⣿⠀⠀⠀⢸⣿⢸⣷⡇⣿⡇⠀⠈⣿⣿⠁⠀⠀⠀⣿⣿⠀⠀⣼⣿⠀⢸⣿⠿⠇⠀⠝⠻⣿⣦⠹⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢸⣿⡇⢸⣿⡇⠀⣿⣇⣀⡀⠀⠀⣿⣧⠀⣿⡇⢸⣿⡗⢺⣿⡀⢸⣿⠀⢸⣿⠀⣼⣿⠀⠀⠀⢸⣿⠈⣿⠇⢿⡇⠀⠀⣹⣿⠀⠀⠀⠀⣿⣿⣀⠀⢸⣿⠀⢸⣿⣀⣀⠐⣿⡇⢸⣿⡇⣿⣿⣿⣿⣿⣿ ⣀⡀⠠⠢⠀⠘⠛⠃⣘⠛⠃⢀⠛⠛⢛⠁⠀⠀⠈⠛⠛⠛⠁⠘⠛⠀⠘⠛⠁⠘⠋⠀⠈⠉⠉⠉⠉⠀⠀⠀⠈⠁⠀⠉⠀⠈⠁⠀⠀⠙⠛⠀⠀⠀⠀⠛⠛⠛⠀⠈⠛⠀⠘⠛⠛⠛⠀⠙⢛⣛⣫⣾⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⣀⢐⣼⢞⣯⡶⣧⡭⠞⠋⢉⣬⣓⣲⡒⢢⣤⣄⣼⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣞⣿⣾⢿⢌⠁⠀⢐⣾⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⠿⠒⠃⢀⣰⣿⣿⣿⣿⣿⣿⣧⢬⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠀⠀⠀⠘⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣯⣿⡛⠁⢸⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡉⠉⠉⠁⠀⢐⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡿⠀⠀⠀⢰⣶⡆⢰⣶⡎⢳⣶⣶⣶⠀⠀⠀⣠⣶⠶⣦⡀⠀⢰⣶⣶⡄⠀⢰⣶⠀⢰⣶⡶⣦⣄⠀⠀⠀⢰⣶⣶⠀⣴⣶⡆⠐⣶⡆⢠⣶⠂⠀⠀⣶⣶⠀⠀⢰⣶⠀⢰⣶⣶⡆⠀⣴⡶⢶⣮⢻⣿⣿⣿⣿⣿⣿ ⢿⡏⠀⠀⠀⢸⣿⣇⣸⣿⡇⢹⣿⡇⠀⠀⠀⠀⢿⣧⡀⠛⠃⠀⣿⡇⢻⡇⠀⢸⣿⠀⢸⣿⠀⢸⣿⠀⠀⠀⢸⣿⢿⠀⡿⣿⡇⠀⢹⡇⣸⡏⠀⠀⠀⣿⣿⠀⠀⢸⣿⠀⢸⣿⠀⠀⠸⣿⣇⡘⣛⣸⣿⣿⣿⣿⣿⣿ ⠈⠀⠀⠀⠀⢸⣿⡿⢿⣿⡇⢸⣿⡟⠛⠀⠀⠀⠈⠛⢿⣷⡄⢀⣿⠇⢸⣷⠀⢸⣿⠀⢸⣿⠀⢸⣿⠀⠀⠀⢸⣿⢸⣷⡇⣿⡇⠀⠈⣿⣿⠁⠀⠀⠀⣿⣿⠀⠀⢼⣿⠀⢸⣿⠿⠇⠀⠝⠻⣿⣦⠹⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢸⣿⡇⢸⣿⡇⠀⣿⣇⣀⡀⠀⠀⣿⣧⠀⣿⡇⢸⣿⡗⢺⣿⡀⢸⣿⠀⢸⣿⠀⣼⣿⠀⠀⠀⢸⣿⠈⣿⠇⢿⡇⠀⠀⣹⣿⠀⠀⠀⠀⣿⣿⣀⠀⢸⣿⠀⢸⣿⣀⣀⠐⣿⡇⢸⣿⡇⣿⣿⣿⣿⣿⣿ ⣀⣀⠀⠠⠀⠘⠛⠃⢘⠛⠃⢀⠛⢛⡛⠁⠀⠀⠈⠛⠛⠛⠁⠘⠛⠀⠘⠛⠁⠘⠋⠀⠈⠉⠙⠉⠉⠀⠀⠀⠈⠁⠀⠉⠀⠈⠁⠀⠀⠙⠛⠀⠀⠀⠀⠛⠛⠛⠀⠈⠛⠀⠘⠛⠛⠛⠀⠙⢛⣛⣫⣾⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⣀⢐⣾⢞⣯⡶⣧⢽⠟⠛⢻⣮⣓⣲⡒⢢⣤⣄⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣾⣿⣾⢿⢟⠓⡀⢐⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⠷⠺⠓⢀⣸⣿⣿⣿⣿⣿⣿⣧⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠹⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡟⠋⢸⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡉⠉⠉⠁⠀⢸⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠀⠀⠀⢰⣶⡆⢰⣶⡎⣷⣶⣶⣶⠀⠀⠀⣠⣶⠶⣦⡀⠀⢰⣶⣶⡄⠀⢰⣶⠀⢰⣶⠶⣦⣄⠀⠀⠀⢰⣶⣶⠀⣴⣶⡆⠐⣶⡆⢠⣶⠂⠀⠀⣶⣶⠀⠀⢰⣶⠀⢰⣶⣶⡆⠀⣴⡶⢶⣮⢻⣿⣿⣿⣿⣿⣿ ⢿⠏⠀⠀⠀⢸⣿⣇⣸⣿⡇⢸⣿⡇⠀⠀⠀⠀⢿⣧⡀⠛⠃⠀⣿⡇⢿⡇⠀⢸⣿⠀⢸⣿⠀⢸⣿⠀⠀⠀⢸⣿⢿⠀⡿⣿⡇⠀⢹⡇⣸⡏⠀⠀⠀⣿⣿⠀⠀⢸⣿⠀⢸⣿⠀⠀⠸⣿⣇⡘⣛⣸⣿⣿⣿⣿⣿⣿ ⠈⠀⠀⠀⠀⢸⣿⡿⢿⣿⡇⢸⣿⡟⠛⠀⠀⠀⠈⠛⢿⣷⡄⢀⣿⠇⢸⣷⠀⢸⣿⠀⢸⣿⠀⢸⣿⠀⠀⠀⢸⣿⢸⣷⡇⣿⡇⠀⠈⣿⣿⠁⠀⠀⠀⣿⣿⠀⠀⣼⣿⠀⢸⣿⠿⠇⠀⠝⠻⣿⣦⠹⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢸⣿⡇⢸⣿⡇⠀⣿⣇⣀⡀⠀⠀⣿⣧⠀⣿⡇⢸⣿⡗⢺⣿⡀⢸⣿⠀⢸⣿⠀⣼⣿⠀⠀⠀⢸⣿⠈⣿⠇⢿⡇⠀⠀⣻⣿⠀⠀⠀⠀⣿⣿⣀⠀⢸⣿⠀⢸⣿⣀⣀⠐⣿⡇⢸⣿⡇⣿⣿⣿⣿⣿⣿ ⣀⣀⠐⢀⠀⠘⠛⠃⣘⡛⠃⠀⠛⠛⠛⠁⠀⠀⠈⠛⠛⠛⠁⠘⠛⠀⠈⠛⠁⠘⠛⠀⠈⠛⠋⠉⠉⠀⠀⠀⠈⠉⠀⠉⠀⠈⠃⠀⠀⠙⠛⠀⠀⠀⠀⠛⠛⠋⠀⠈⠛⠀⠘⠛⠛⠛⠀⠙⢛⣛⣫⣾⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⢀⢀⠤⠖⣫⠴⣂⠥⠀⠋⠁⡄⣐⣢⠀⢢⣄⡀⣴⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢚⣧⡾⢛⠈⠁⠀⠀⢺⣿⣿⣗⣿⣿⣶⡬⣿⣽⣚⢽⣟⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠻⠗⠒⠂⠀⣀⣿⣿⣿⣿⣿⣿⣧⢤⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣽⣿⣷⣶⣷⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣧⣸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣟⣿⣿⣿⣿⣿⡷⣶⣿⣿⣿⣃⣆⣶⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠿⠋⢛⡚⠂⣥⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡛⢻⣻⣿⣿⣿⡀⠀⠘⢙⣷⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣾⣷⣶⣿⠟⠻⠁⠊⣀⣸⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⢿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠿⡛⡐⢐⠀⢀⣸⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠇⡡⡶⠀⠀⢸⣯⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠈⠀⠉⠀⠀⠀⡷⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠙⠛⠀⠀⠀⢰⣶⡆⢰⣶⡆⣷⣶⣶⣶⠀⠀⠀⣠⣶⠶⣦⡀⠀⢰⣶⣶⡄⠀⢰⣶⠀⢰⣶⡶⣦⣄⠀⠀⠀⢰⣶⣶⠀⣴⣶⡆⠀⣶⡆⢠⣶⠂⠀⠀⣶⣶⠀⠀⢰⣶⠀⢰⣶⣶⡆⠀⣵⡶⢶⣮⢻⣿⣿⣿⣿⣿⣿ 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⠀⢀⠤⠐⣫⠴⣃⠅⠀⠉⠁⡄⣐⣂⠐⢢⣤⡀⣠⢾⣿⢷⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢊⣫⡶⢛⠀⠁⠀⠀⢸⣿⣾⣧⣹⣿⣷⣬⣿⣥⢆⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠖⠒⠀⠀⣀⣾⣿⣿⣿⣿⣿⣧⢤⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣾⣶⣦⣷⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣯⣴⣿⣿⣽⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡷⣶⣿⣿⠿⢃⣦⣦⣮⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡟⠙⠛⠓⠀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠛⠛⡿⣿⣿⣿⡀⠀⠀⢩⢡⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣤⣦⣦⣿⠟⠛⠂⠀⠀⢰⢗⣿⣿⣿⣿⣿⣿⠿⠋⠀⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠟⠃⠀⠀⠀⠀⣰⣿⣗⣿⣿⣿⣿⠟⠁⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠀⠠⠴⠀⠀⠈⢳⣷⡾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⢀⡔⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠉⠛⠀⠀⠀⢰⣶⡆⢰⣶⡆⣷⣶⣶⣶⠀⠀⠀⣠⣶⠶⣦⡀⠀⢰⣶⣶⡄⠀⢰⣶⠀⢰⣶⡶⣦⣄⠀⠀⠀⢰⣶⣶⠀⣴⣶⡆⠀⣶⡆⢠⣶⠂⠀⠀⣶⣶⠀⠀⢰⣶⠀⢰⣶⣶⡆⠈⣴⡶⢶⣮⢻⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢸⣿⣇⣸⣿⡇⢿⣿⡇⠀⠀⠀⠀⢿⣧⡀⠛⠃⠀⣿⡇⢿⡇⠀⢸⣿⠀⢸⣿⠀⢸⣿⠀⠀⠀⢸⡿⢿⠀⡿⢿⡇⠀⢹⡇⣸⡏⠀⠀⠀⣿⣿⠀⠀⢸⣿⠀⢸⣿⠀⠀⠸⣿⣇⡘⢛⣸⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢸⣿⡿⢿⣿⡇⢸⣿⡿⠛⠀⠀⠀⠈⠛⢿⣷⡄⢀⣿⠇⢸⣿⠀⢸⣿⠀⢸⣿⠀⢸⣿⠀⠀⠀⢸⣷⢸⣦⡇⣿⡇⠀⠈⣿⣿⠁⠀⠀⠀⣿⣿⠀⠀⢸⣿⠀⢸⣿⠟⠃⠀⠙⠻⣿⣦⠹⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢸⣿⡇⢸⣿⡇⠸⣿⣇⣀⠀⠀⠀⣿⣧⠀⣿⡇⢸⣿⠗⢺⣿⡀⢸⣿⠀⢸⣿⡀⣼⣿⠀⠀⠀⢸⣿⠈⣿⠇⣿⡇⠀⠀⣿⣿⠀⠀⠀⠀⣿⣿⣀⠀⢺⣿⠀⢸⣿⣀⣀⠐⣿⡇⢸⣿⡇⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠈⠛⠃⠘⠛⠃⠀⠉⠛⠛⠀⠀⠀⠈⠛⠛⠋⠁⠘⠛⠀⠈⠋⠁⠈⠉⠀⠈⠙⠛⠛⠉⠀⠀⠀⠘⠋⠀⠛⠀⠙⠃⠀⠀⠈⠉⠀⠀⠀⠀⠉⠉⠉⠀⠈⠉⠀⠘⠛⠛⠛⠀⠙⠛⢛⣫⣼⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⠀⢀⠠⠖⣫⠴⣂⠀⠀⠋⠁⡄⣀⢂⠐⢢⣤⡀⡀⠙⣽⣿⣾⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢂⣩⣾⠞⠀⠁⠀⠀⢨⣽⣿⣏⣿⣟⣷⣼⣿⣕⣂⣾⡬⣳⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿ ⡷⠗⠒⠀⢀⣠⣾⣿⣿⣿⣿⣿⣧⠤⣿⣿⡟⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿ ⣿⣶⣤⣶⣷⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣏⣘⣽⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡷⣶⣿⠿⣿⠁⠦⣤⣹⡟⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿ ⣿⣿⣿⣿⣾⣿⡟⠋⠛⠒⠂⢰⣷⡽⣷⣾⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿ ⠛⣻⡿⣿⣾⣯⠀⠀⠀⠁⢨⡜⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿ ⣬⣥⣾⣯⠛⠛⠀⠀⠀⣴⡟⣿⣿⣿⣿⣿⡿⠟⠁⠈⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠛⠁⠐⠀⠀⠀⢰⣹⢽⣿⢿⣿⡿⠋⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣯⠀⠀⠄⠁⠀⠸⣿⣿⣽⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠠⢹⣾⣽⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠉⠋⠀⠀⠀⢰⣶⡆⢰⣶⡆⣷⣶⣶⣶⠀⠀⠀⣠⣶⠶⣦⡀⠀⢰⣶⣶⡄⠀⢰⣶⠀⢰⣶⡶⣦⣄⠀⠀⠀⢰⣶⣶⠀⣴⣶⡆⠀⣶⡆⢠⣶⠂⠀⠀⣶⣶⠀⠀⢰⣶⠀⢰⣶⣶⡆⠈⣴⡶⢶⣮⢻⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢸⣿⣇⣸⣿⡇⢻⣿⡇⠀⠀⠀⠀⢿⣧⡀⠛⠃⠀⣿⡇⢿⡇⠀⢸⣿⠀⢸⣿⠀⢸⣿⠀⠀⠀⢸⡿⢿⠀⡿⢿⡇⠀⢹⡇⣸⡏⠀⠀⠀⣿⣿⠀⠀⢸⣿⠀⢸⣿⠀⠀⠸⣿⣇⡘⢛⣸⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢸⣿⡿⢿⣿⡇⢸⣿⡟⠛⠀⠀⠀⠈⠛⢿⣷⡄⢀⣿⠇⢸⣿⠀⢸⣿⠀⢸⣿⠀⢸⣿⠀⠀⠀⢸⣯⢸⣦⡇⣾⡇⠀⠈⣿⣿⠁⠀⠀⠀⣿⣿⠀⠀⢸⣿⠀⢸⣿⠟⠃⠀⠙⠻⣿⣦⠹⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢸⣿⡇⢸⣿⡇⠘⣿⣇⣀⠀⠀⠀⣿⣇⠀⣿⡇⢸⣿⠗⢺⣿⡀⢸⣿⠀⢸⣿⡀⣼⣿⠀⠀⠀⢸⣿⠈⣿⠇⣿⡇⠀⠀⣿⣿⠀⠀⠀⠀⣿⣿⣀⠀⢺⣿⠀⢸⣿⣀⣀⠐⣿⡇⢸⣿⡇⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠈⠛⠃⠘⠛⠃⠀⠉⠛⠛⠀⠀⠀⠈⠛⠛⠛⠁⠘⠛⠀⠈⠉⠁⠈⠉⠀⠘⠛⠛⠛⠉⠀⠀⠀⠘⠋⠀⠛⠀⠙⠃⠀⠀⠈⠉⠀⠀⠀⠀⠉⠉⠉⠀⠈⠙⠀⠘⠛⠛⠛⠀⠙⠛⣛⣫⣾⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⠀⢀⠠⠖⣫⠴⣂⠄⠀⠉⢁⡀⣀⢂⠀⠢⣤⡄⡨⠰⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡄⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿ ⢀⢯⣾⠛⠀⠀⠀⠀⢨⣽⣿⣯⣻⣿⣷⡬⣿⢵⣆⢾⣥⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡧⠗⠒⠀⢀⣠⣿⣿⣿⣿⣿⣿⣧⠤⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣶⣶⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣇⣽⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡷⣶⣿⣿⠿⢣⣂⣴⢾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢿⣿⣿ ⣿⣿⣿⣿⣿⣿⡿⠉⠋⠟⢃⣰⡞⣗⢾⣿⣿⣷⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿ ⢛⡛⣿⣿⣿⣿⠄⠀⠀⠁⢀⣸⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣴⣶⣿⠟⠏⠀⠀⠀⣴⠿⣿⣿⣿⣿⣿⠟⠋⠀⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠉⠑⠀⠀⠄⠀⢰⢿⣽⣟⣿⣿⠟⠁⠀⠀⠀⠈⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣟⣛⣿⣿⣿⣿⣿⣿⣿ ⣿⡟⠀⠐⠆⠀⠀⠸⢻⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⡝⣷⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠉⡙⠀⠀⠀⢰⣶⡆⢰⣶⡎⢓⣶⣶⣶⠀⠀⠀⣠⣶⠶⣦⡀⠀⢰⣶⣶⡄⠀⢰⣶⠀⢰⣶⡶⣦⣄⠀⠀⠀⢰⣶⣶⠀⣴⣶⡆⠐⣶⡆⢠⣶⠂⠀⠀⣶⣶⠀⠀⢰⣶⠀⢰⣶⣶⡆⠉⣵⡶⢶⣮⢻⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢸⣿⣇⣸⣿⡇⠛⣿⡇⠀⠀⠀⠀⢿⣧⡀⠛⠃⠀⣿⡇⢿⡇⠀⢸⣿⠀⢸⣿⠀⢸⣿⠀⠀⠀⢸⡿⢿⠀⡿⣿⡇⠀⢹⡇⣸⡏⠀⠀⠀⣿⣿⠀⠀⢸⣿⠀⢸⣿⠀⠀⠸⣿⣇⡘⢛⣸⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢸⣿⡿⢿⣿⡇⠀⣿⡟⠛⠀⠀⠀⠈⠛⢿⣶⡄⢀⣿⠇⢸⣿⠀⢸⣿⠀⢸⣿⠀⢸⣿⠀⠀⠀⢸⣿⢸⣧⡇⣿⡇⠀⠈⣿⣿⠁⠀⠀⠀⣿⣿⠀⠀⢸⣿⠀⢸⣿⠟⠃⠀⠝⠻⣿⣦⠹⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢸⣿⡇⢸⣿⡇⠀⣿⣇⣀⠀⠀⠀⣿⣧⠀⣿⡇⢸⣿⠗⢺⣿⡀⢸⣿⠀⢸⣿⡀⣼⣿⠀⠀⠀⢸⣿⠈⣿⠇⣿⡇⠀⠀⢿⣿⠀⠀⠀⠀⣿⣿⣀⠀⢿⣿⠀⢸⣿⣀⣀⠘⣿⡇⢸⣿⡇⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠈⠛⠃⠈⠛⠃⠀⠙⠛⠛⠁⠀⠀⠈⠛⠛⠋⠁⠘⠛⠀⠈⠉⠁⠈⠉⠀⠘⠛⠛⠛⠉⠀⠀⠀⠘⠋⠀⠛⠀⠙⠃⠀⠀⠈⠉⠀⠀⠀⠀⠉⠉⠉⠀⠈⠛⠀⠘⠛⠛⠛⠀⠙⢛⣛⣫⣾⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣴⣶⣶⣷⣶⣶⣶⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣶⣶⣶⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⡀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠴⠀⡠⠀⢀⣀⣀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣶⣶⡿⠟⠋⠙⠙⠋⠉⠉⠙⠙⠛⠿⣷⣄⣀⠀⠉⠉⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣴⣾⣷⡴⣆⣲⡶⣿⣟⣍⣀⣵⡿⢿⣯⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⠀⠀⢀⡠⠀⠀⠀⡒⢗⣶⡛⣾⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣦⣀⠀⠀⠉⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡣⣿⣿⣿⣿⣿⣽⣿⣿⣝⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⢛⣠⠆⠂⢀⠀⠀⠀⠀⢠⣽⣟⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣄⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣟⣿⣳⣟ ⠀⠀⠀⠀⠀⠀⠀⠀⣂⡥⢖⣈⣤⡎⠥⠂⠀⠀⠀⢰⡈⣯⣽⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣷⡀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣻ ⠀⠀⠀⠀⠀⡠⢀⣉⡅⠢⢊⡩⠄⠘⣈⡀⠀⠀⢠⣾⢯⣻⣾⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣧⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣼ ⠀⢀⠤⠖⣡⠴⣂⠄⠀⠉⠁⡄⣀⢂⠀⢢⢤⡀⣠⢋⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡄⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿ ⢀⣧⣾⠎⠀⠀⠀⠀⢨⣽⣟⣧⣽⣿⣷⡬⢿⢅⣽⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠷⠒⠒⠂⢀⣠⣾⣿⣽⣿⣿⣿⣧⢤⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣶⣶⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣇⣝⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡷⣶⣿⣿⡛⢣⣢⣤⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿ ⣿⣿⣿⣿⣿⣮⡟⠃⠋⠄⢊⢄⣞⣻⣼⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿ ⠛⡛⡻⣿⣿⢯⣀⠀⠀⠀⢔⣬⣿⣿⣿⢿⣿⣿⡿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣤⣶⣾⣿⠙⠻⠊⢀⢐⣛⠹⣟⣿⣻⣿⣿⠿⠋⠀⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡻⠛⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡿⠁⠀⠖⠀⠀⠘⢿⣿⣷⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠜⣷⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠙⠉⠀⠀⠀⢰⣶⡆⢰⣶⡎⢓⣶⣶⣶⠀⠀⠀⣠⣶⠶⣦⡀⠀⢰⣶⣶⡄⠀⢰⣶⠀⢰⣶⡶⣦⣄⠀⠀⠀⢰⣶⣶⠀⣴⣶⡆⠐⣶⡆⢠⣶⠂⠀⠀⣶⣶⠀⠀⢰⣶⠀⢰⣶⣶⡆⠉⣵⡶⢶⣮⢻⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢸⣿⣇⣸⣿⡇⠻⣿⡇⠀⠀⠀⠀⢿⣧⡀⠛⠃⠀⣿⡇⢿⡇⠀⢸⣿⠀⢸⣿⠀⢸⣿⠀⠀⠀⢸⡿⢿⠀⡿⣿⡇⠀⢹⡇⣸⡏⠀⠀⠀⣿⣿⠀⠀⢸⣿⠀⢸⣿⠀⠀⠸⣿⣇⡘⢛⣸⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢸⣿⡿⢿⣿⡇⠀⣿⡟⠛⠀⠀⠀⠈⠛⢿⣷⡄⢀⣿⠇⢸⣿⠀⢸⣿⠀⢸⣿⠀⢸⣿⠀⠀⠀⢸⣯⢸⣧⡇⣿⡇⠀⠈⣿⣿⠁⠀⠀⠀⣿⣿⠀⠀⢸⣿⠀⢸⣿⠟⠃⠀⠝⠻⣿⣦⠹⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢸⣿⡇⢸⣿⡇⠀⣿⣇⣀⠀⠀⠀⣿⣧⠀⣿⡇⢸⣿⠗⢺⣿⡀⢸⣿⠀⢸⣿⡀⣼⣿⠀⠀⠀⢸⣿⠈⣿⠇⣿⡇⠀⠀⢿⣿⠀⠀⠀⠀⣿⣿⣀⠀⢿⣿⠀⢸⣿⣀⣀⠐⣿⡇⢸⣿⡇⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠈⠛⠃⠈⠛⠃⠀⠙⠛⠛⠁⠀⠀⠈⠛⠛⠋⠁⠘⠛⠀⠈⠉⠁⠈⠉⠀⠘⠛⠛⠛⠉⠀⠀⠀⠘⠋⠀⠛⠀⠙⠃⠀⠀⠈⠉⠀⠀⠀⠀⠉⠉⠉⠀⠈⠛⠀⠘⠛⠛⠛⠀⠙⢛⣛⣫⣾⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣤⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣴⣶⣶⣾⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣆⠀⠄⠀⠀⠀⠀⠀⢀⠀⠶⠀⡨⠀⢀⣐⣀⣠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣄⣶⣿⣿⡿⠛⠉⠉⠉⠉⠈⠉⠉⠉⠛⠻⢷⣤⣀⠀⠀⠈⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣾⣿⣿⣿⣿⣿⣿⣿⣯⣬⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⢀⡠⡄⠀⢠⣾⣿⣾⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣶⣄⠀⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠿⢛⣪⠦⠇⢈⠤⠀⠀⠀⢿⣿⣿⣷⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣷⣦⡀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠐⣊⠵⢒⣩⣤⡊⠥⠃⠀⠀⠀⢐⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⡄⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⡢⢀⣉⡥⢶⢛⡩⠄⠘⡊⠁⠀⠀⢠⡾⢾⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⡠⠖⣫⡴⣂⠥⠊⠋⠉⣄⣀⢂⡀⢢⣤⡀⣠⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢂⣯⣷⠟⠈⠀⡀⠀⣸⣿⣿⣿⣿⣿⣷⣼⣿⣭⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⠷⠒⠂⠀⣰⣿⣿⣿⣿⣿⣿⣧⢤⣿⣿⡿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠇⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣴⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣯⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡷⣶⣿⣿⣿⢳⣦⣴⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠟⠉⠿⢻⡌⣷⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣛⣻⣿⣿⣿⣿⣀⠀⠈⢉⢬⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⣶⣾⣿⠻⠻⢃⠈⣸⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠘⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡋⡟⢈⠀⠐⣨⣻⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠁⡢⠶⠁⠀⠐⣯⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠈⠁⠀⠀⠀⢀⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠛⠋⠀⠀⠀⢰⣶⡆⢰⣶⡎⢱⣶⣶⣶⠀⠀⠀⣠⣶⠶⣦⡀⠀⢰⣶⣶⡄⠀⢰⣶⠀⢰⣶⡶⣦⣄⠀⠀⠀⢰⣶⣶⠀⣴⣶⡆⠐⣶⡆⢠⣶⠂⠀⠀⣶⣶⠀⠀⢰⣶⠀⢰⣶⣶⡆⠀⣵⡶⢶⣮⢻⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢸⣿⣇⣸⣿⡇⠹⣿⡇⠀⠀⠀⠀⢿⣧⡀⠛⠃⠀⣿⡇⢿⡇⠀⢸⣿⠀⢸⣿⠀⢸⣿⠀⠀⠀⢸⡿⢿⠀⡿⣿⡇⠀⢹⡇⣸⡏⠀⠀⠀⣿⣿⠀⠀⢸⣿⠀⢸⣿⠀⠀⠸⣿⣇⡘⣛⣸⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢸⣿⡿⢿⣿⡇⢰⣿⡟⠛⠀⠀⠀⠈⠛⢿⣷⡄⢀⣿⠇⢸⣿⠀⢸⣿⠀⢸⣿⠀⢸⣿⠀⠀⠀⢸⣿⢸⣧⡇⣿⡇⠀⠈⣿⣿⠁⠀⠀⠀⣿⣿⠀⠀⢸⣿⠀⢸⣿⠟⠃⠀⠝⠻⣿⣦⠹⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢸⣿⡇⢸⣿⡇⠀⣿⣇⣀⠀⠀⠀⣿⣧⠀⣿⡇⢸⣿⠗⢺⣿⡀⢸⣿⠀⢸⣿⡀⣼⣿⠀⠀⠀⢸⣿⠈⣿⠇⣿⡇⠀⠀⣿⣿⠀⠀⠀⠀⣿⣿⣀⠀⢿⣿⠀⢸⣿⣀⣀⠐⣿⡇⢸⣿⡇⣿⣿⣿⣿⣿⣿ ⡀⠀⠀⠀⠀⠘⠛⠃⠘⠛⠃⠀⠙⠛⠛⠁⠀⠀⠈⠛⠛⠋⠁⠘⠛⠀⠈⠋⠁⠈⠉⠀⠈⠛⠛⠛⠉⠀⠀⠀⠘⠋⠀⠛⠀⠉⠁⠀⠀⠈⠉⠀⠀⠀⠀⠉⠉⠉⠀⠈⠙⠀⠘⠛⠛⠛⠀⠙⠛⣛⣫⣾⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⠀⠀⡤⠖⣫⡴⣂⠥⠒⠋⢉⣄⣀⢂⠐⠢⣤⡀⣠⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡆⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢆⣷⣾⠿⠀⠁⠀⠀⢾⣽⣿⣿⣿⣿⣿⡾⣿⣽⣾⣿⣷⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⠓⠒⠂⢀⣰⣿⣿⣿⣿⣿⣿⣧⢤⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣯⣶⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡷⣶⣿⣿⣿⣱⣂⣴⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠿⠙⢿⡻⣊⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡛⣻⣿⣿⣿⣿⣀⠀⠈⢀⣮⣟⣿⣿⣿⣿⣿⣿⠟⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣶⣿⣿⠻⠿⠫⢀⣤⣾⢿⣿⣿⣿⣿⡿⠋⠀⠀⠘⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠫⠟⡓⢆⠂⢽⣿⣿⡿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠁⠃⡶⠀⠀⠺⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠈⠀⠀⠀⠀⢠⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠻⠋⠀⠀⠀⢰⣶⡆⢰⣶⡎⢡⣶⣶⣶⠀⠀⠀⣠⣶⠶⣦⡀⠀⢰⣶⣶⡄⠀⢰⣶⠀⢰⣶⡶⣦⣄⠀⠀⠀⢰⣶⣶⠀⣴⣶⡆⠐⣶⡆⢠⣶⠂⠀⠀⣶⣶⠀⠀⢰⣶⠀⢰⣶⣶⡆⠀⣴⡶⢶⣮⢻⣿⣿⣿⣿⣿⣿ ⠁⠄⠀⠀⠀⢸⣿⣇⣸⣿⡇⠘⣿⡇⠀⠀⠀⠀⢿⣧⡀⠛⠃⠀⣿⡇⢿⡇⠀⢸⣿⠀⢸⣿⠀⢸⣿⠀⠀⠀⢸⣿⢿⠀⡿⣿⡇⠀⢹⡇⣸⡏⠀⠀⠀⣿⣿⠀⠀⢸⣿⠀⢸⣿⠀⠀⠸⣿⣇⡘⢛⣸⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢸⣿⡿⢿⣿⡇⢰⣿⡟⠛⠀⠀⠀⠈⠛⢿⣷⡄⢀⣿⠇⢸⣿⠀⢸⣿⠀⢸⣿⠀⢸⣿⠀⠀⠀⢸⣿⢸⣧⡇⣿⡇⠀⠈⣿⣿⠁⠀⠀⠀⣿⣿⠀⠀⣸⣿⠀⢸⣿⠟⠃⠀⠝⠻⣿⣦⠹⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢸⣿⡇⢸⣿⡇⠀⣿⣇⣀⡀⠀⠀⣿⣧⠀⣿⡇⢸⣿⠗⢺⣿⡀⢸⣿⠀⢸⣿⡀⣼⣿⠀⠀⠀⢸⣿⠈⣿⠇⣿⡇⠀⠀⢻⣿⠀⠀⠀⠀⣿⣿⣀⠀⢻⣿⠀⢸⣿⣀⣀⠘⣿⡇⢸⣿⡇⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠈⠛⠃⠈⠛⠃⠀⠛⠛⠛⠁⠀⠀⠈⠛⠛⠋⠁⠘⠛⠀⠈⠋⠁⠈⠉⠀⠈⠉⠙⠋⠉⠀⠀⠀⠘⠋⠀⠙⠀⠉⠁⠀⠀⠈⠉⠀⠀⠀⠀⠙⠋⠉⠀⠈⠛⠀⠘⠛⠛⠛⠀⠙⠛⣛⣫⣾⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⠀⢀⠤⠐⣫⡴⣂⠅⠂⠋⠉⣄⣁⢂⠐⢢⣤⡀⣨⣻⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡆⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢢⣯⣾⠯⠈⠁⠀⠀⢸⣿⣾⣟⣿⣟⣷⡼⣿⢽⣿⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠗⠒⠂⢀⣀⣿⣿⣽⣿⣿⣿⣧⢤⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣧⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣏⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡷⣶⣿⣿⡿⢡⣆⣴⣽⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡽⠋⡛⢍⢈⣦⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣛⣿⣿⣿⣿⣿⣂⠀⡈⠨⣄⣿⣿⣿⣿⣿⣿⣿⠟⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣦⣦⣿⣿⠟⠟⠂⠀⢄⣸⠿⣿⣿⣿⣿⡿⠋⠀⠀⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠿⠟⣄⠀⠀⠠⣺⣿⣿⣿⣽⡿⠃⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡿⠀⠃⡷⠁⠀⠘⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠈⠀⠀⠀⠀⢀⢿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠛⠋⠀⠀⠀⢰⣶⡆⢰⣶⡎⢡⣶⣶⣶⠀⠀⠀⣠⣶⠶⣦⡀⠀⢰⣶⣶⡄⠀⢰⣶⠀⢰⣶⡶⣦⣄⠀⠀⠀⢰⣶⣶⠀⣴⣶⡆⠐⣶⡆⢠⣶⠂⠀⠀⣶⣶⠀⠀⢰⣶⠀⢰⣶⣶⡆⠀⣴⡶⢶⣮⢻⣿⣿⣿⣿⣿⣿ ⠀⠄⠀⠀⠀⢸⣿⣇⣸⣿⡇⠈⣿⡇⠀⠀⠀⠀⢿⣧⡀⠛⠃⠀⣿⡇⢿⡇⠀⢸⣿⠀⢸⣿⠀⢸⣿⠀⠀⠀⢸⣿⢿⠀⡿⣿⡇⠀⢹⡇⣸⡏⠀⠀⠀⣿⣿⠀⠀⢸⣿⠀⢸⣿⠀⠀⠸⣿⣇⡘⢛⣸⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢸⣿⡿⢿⣿⡇⢰⣿⡟⠛⠀⠀⠀⠈⠛⢿⣷⡄⢀⣿⠇⢸⣿⠀⢸⣿⠀⢸⣿⠀⢸⣿⠀⠀⠀⢸⣿⢸⣧⡇⣿⡇⠀⠈⣿⣿⠁⠀⠀⠀⣿⣿⠀⠀⢸⣿⠀⢸⣿⠟⠃⠀⠝⠻⣿⣦⠹⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢸⣿⡇⢸⣿⡇⠀⣿⣇⣀⡀⠀⠀⣿⣧⠀⣿⡇⢸⣿⠗⢺⣿⡀⢸⣿⠀⢸⣿⡀⣼⣿⠀⠀⠀⢸⣿⠈⣿⠇⣿⡇⠀⠀⢻⣿⠀⠀⠀⠀⣿⣿⣀⠀⢻⣿⠀⢸⣿⣀⣀⠘⣿⡇⢸⣿⡇⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠈⠛⠃⠈⠛⠃⠀⠛⠛⠛⠁⠀⠀⠈⠛⠛⠋⠁⠘⠛⠀⠈⠉⠁⠈⠉⠀⠈⠉⠙⠋⠉⠀⠀⠀⠘⠋⠀⠋⠀⠉⠁⠀⠀⠈⠉⠀⠀⠀⠀⠙⠉⠉⠀⠈⠙⠀⠘⠛⠛⠛⠀⠙⠛⣛⣫⣾⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⠀⢀⡤⢖⣧⠶⣂⠥⠒⠋⢉⣤⣁⣂⠀⢢⣄⡀⣨⣿⣽⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣦⣿⣾⠟⠈⠁⠀⠀⣾⣿⣿⣿⣿⣿⣷⣾⣿⣽⣺⣿⢾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⠷⠒⠂⢀⣰⣿⣿⣿⣿⣿⣿⣧⢤⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣾⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣏⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣳⣦⣴⣽⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠿⠙⣿⣿⢈⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣛⣻⣿⣿⣿⣿⣀⣀⢈⠋⢪⣿⣿⣿⣿⣿⣿⡿⠟⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣶⣿⣿⠿⢿⠓⣤⡈⣼⢿⣿⣿⣿⣿⠿⠋⠀⠀⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡋⡿⣤⠊⠁⣬⣿⣿⢿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠤⠧⡴⠀⠀⠩⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠀⠀⠁⠀⠀⢀⣹⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠻⠛⠀⠀⠀⠀⠀⢲⣷⡽⠿⠥⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠄⠀⠀⠀⠀⠀⠈⣹⡇⣿⣿⡇⢸⣿⡇⠀⠀⠀⠀⠀⢰⡄⠀⠿⠃⢸⣿⠛⠃⠀⠀⠋⠁⠀⠀⠈⠀⠀⠀⠁⠀⠀⠀⢀⣿⢻⡆⠀⠀⢸⣿⠀⠀⠸⠃⠀⠀⠀⠀⠀⢰⣿⠉⣿⡆⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠄⠇⣿⡇⡇⠈⠈⠀⠀⣠⠀⣾⡄⢸⣿⢀⡀⠀⠘⢿⠤⠄⠀⠀⣶⡀⣆⡄⢠⡄⠀⣤⠤⠄⠀⠀⢸⡇⢸⡇⠀⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⣠⡀⢸⣿⠤⣛⠁⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⣿⡇⠀⠀⢠⡆⢰⣿⠶⣿⡇⢸⣿⠈⣧⠀⠀⠀⠀⠀⠀⠀⣿⡇⢻⡇⢸⡇⠀⣿⡀⠀⠀⠀⣼⡷⢾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠻⡇⢸⣿⠀⣿⡇⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⡀⠀⠀⠀⠀⠀⠐⠀⠀⠉⠁⠘⡃⠘⠃⠘⠛⠀⠙⠃⠘⠛⠀⠉⠁⠀⠀⠀⠀⠀⠀⠈⠀⠈⠁⠈⠁⠀⠉⠉⠁⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠘⠙⠀⠛⠃⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣤⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣰⣶⣾⣿⡿⠿⠿⠿⠿⣿⣿⣿⣿⣿⡟⠛⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡠⠄⠤⣠⣤⣤⣴⣄⡴⠿⠂⣬⠈⣀⣛⣉⣠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⣶⣖⢠⣄⣶⣾⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠷⣦⣀⡀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣦⣐⣶⠐⢂⡤⠶⠁⣠⡺⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣷⣦⡀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠿⢛⣫⡦⠟⢈⠤⠔⠈⠃⠚⢛⣼⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣦⡀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢀⠀⠔⣋⡵⢞⣩⣥⡞⠯⠃⠀⠀⠀⠐⠐⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡄⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠐⡢⢜⣯⣭⢶⢟⡩⠄⢐⣊⡀⠀⢀⢤⣾⡽⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣀⡴⢖⣭⠶⣧⢥⠊⠋⢋⣬⣁⣒⡐⢢⣄⡀⣨⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡄⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢦⣯⣾⠿⠚⠁⠀⠀⣾⣿⣿⣿⣻⣿⣿⣾⣿⣽⣿⣼⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⠷⠒⠃⣀⣰⣿⣿⣿⣿⣿⣿⣧⢤⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠇⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣷⣦⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡿⠙⣿⣿⣊⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣻⣿⣿⣿⣿⣔⠀⢘⢊⣯⣿⣿⣿⣿⣿⣿⡿⠟⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣾⣾⣿⣿⠟⠿⣋⣠⣼⣾⣿⣿⣿⣿⣿⠿⠋⠀⠀⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⡟⣒⢸⠙⣿⣾⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⢯⣡⡾⡀⠁⠸⢿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡀⠁⠈⠀⠀⢸⢸⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢙⢟⠀⠀⠀⠀⠀⣷⣳⡿⠿⠥⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⠀⢀⡤⠖⣡⠶⣢⠥⠂⠋⠉⣄⣁⣒⠐⢢⡄⡀⣸⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡄⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣂⣯⣾⠟⠈⠁⠀⠀⣼⣿⣿⣿⣿⣿⣷⣼⣿⣽⣿⣽⢺⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⠷⠒⠂⢀⣀⣿⣿⣿⣿⣿⣿⣧⢤⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣧⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣯⣻⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⢃⣦⣴⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡿⠛⣟⠻⠨⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢻⣿⣿⣿⣿⣿⣠⣀⢈⢩⣤⣿⣿⣿⣷⣿⣿⡿⠟⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣶⣿⣿⠿⢿⢂⡨⣄⣬⣿⣿⣿⣿⣿⠿⠋⠀⠀⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⠟⢄⠂⠁⣀⣺⣿⢟⣿⣿⡿⠁⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠃⠷⠗⠁⠁⠹⢿⣿⣾⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠈⠉⠁⠀⠀⠀⢹⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠙⠛⠀⠀⠀⠀⠀⣶⡻⡿⠿⠥⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠁⠀⠀⠀⠀⠀⠈⢫⡇⣿⣿⡇⢸⣿⡇⠀⠀⠀⠀⠀⢀⣀⠀⠛⠁⢸⣿⠛⠃⠀⠀⢛⠉⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢀⣿⢻⡆⠀⠀⢸⣿⠀⠀⠸⠃⠀⠀⠀⠀⠀⢰⣿⠉⣿⡆⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢌⠇⣿⡇⡇⠈⠈⠀⠀⣠⠀⣾⡄⢸⣿⢐⡆⠀⠘⢿⠤⠄⠀⠀⣷⡀⡄⡄⢀⡄⠀⣤⡤⠄⠀⠀⢸⡇⢸⡇⠀⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⣠⡀⢸⣿⠤⣛⠁⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⣿⡇⠀⠀⢠⡆⢰⣿⠶⣿⡇⢸⣿⠈⣶⠀⠀⠀⠀⠀⠀⠀⣿⡇⢻⡇⢸⡇⠀⣿⡀⠀⠀⠀⣼⡷⢾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⡇⢸⣿⠀⣿⡇⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠘⡃⠘⠃⠘⠛⠀⠙⠃⠘⠛⠀⠉⠁⠀⠀⠀⠀⠀⠀⠈⠀⠈⠁⠈⠁⠀⠉⠉⠁⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠘⠛⠀⠛⠃⠀⠁⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⠀⢀⡤⠖⣩⡴⣃⠥⠀⠋⠉⣄⣀⣀⠀⢂⣤⡀⢤⡾⣿⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡄⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢒⣯⣾⠟⠈⠉⡀⠀⢺⣿⣿⣿⣿⣯⣷⡼⣿⣽⣭⢽⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠶⠺⠂⢀⣰⣿⣿⣿⣿⣿⣿⣧⢤⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠇⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣽⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡷⣶⣿⣿⣿⢷⣦⣴⡿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⢟⠉⠟⠻⡎⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣛⣻⣿⣿⣿⣿⣌⠀⠠⢱⣾⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠟⠟⠀⡌⣤⣸⣽⣿⣿⣿⣿⡿⠟⠁⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⢟⡀⢨⠀⠊⢴⣷⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠄⠠⡶⠁⠀⠰⢷⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠈⠀⠉⠀⠀⠀⣼⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠙⡋⠀⠀⠀⠀⠀⠂⢻⡿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⠀⢀⡤⢒⣩⡵⣆⡥⠀⠋⢁⣄⣁⣂⠀⢢⣤⡀⣤⡼⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡄⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢟⣯⣾⠿⠀⠀⡀⠀⣺⣿⣿⣿⣿⣿⣿⣼⣿⣿⣯⢾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠶⠒⠂⢀⣰⣿⣿⣿⣿⣿⣿⣧⢤⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠇⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣯⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡷⣶⣾⣿⣿⠓⣦⣶⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠋⢻⠻⡏⣠⣾⣿⣿⣷⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣟⢟⢿⣿⣿⣿⣀⠀⠐⣻⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⣶⣿⣿⠟⠟⠃⣀⠀⣼⣿⣿⣟⣿⣿⡿⠟⠁⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡛⡟⣂⠉⠆⡭⣾⣿⣽⣯⣿⣿⠋⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⢇⠁⣴⡃⠀⠈⢿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠈⠀⠁⠀⠀⠀⣼⣵⣾⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠫⠋⠀⠀⠀⠀⠀⢀⣱⡿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⠀⣀⡤⢚⣫⡵⣇⢥⠀⠋⢉⣄⣁⣂⠀⢢⣤⡄⣤⡼⢿⣾⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡄⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢗⣯⣾⠿⠈⠁⡀⠀⣾⣿⣿⣿⣿⣿⣿⣾⣿⣽⣿⢿⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠷⠒⠂⢀⣰⣿⣿⣿⣿⣿⣿⣧⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠇⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣷⣷⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡷⣶⣿⣿⣿⣷⣦⣶⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡿⠛⡛⠛⡣⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣟⢿⣿⣿⣿⣿⡀⠀⠀⠨⣿⣿⢿⣿⣿⣿⣿⣿⠿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⣶⣾⣿⠛⠟⠂⠄⣠⣾⣿⣿⣿⣿⣿⡿⠟⠁⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠋⡏⡺⠐⠖⡸⣼⣿⣟⣟⣿⣿⠋⠀⠀⠀⠀⠀⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠇⠥⣾⡁⠀⠘⣷⣾⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠀⠀⠁⠀⠀⠀⣸⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠙⢋⠀⠀⠀⠀⠀⠃⣫⡿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⠀⣀⡴⢒⣫⡴⣇⡅⠐⠉⠁⣄⣀⣂⠀⢢⣠⡄⣠⠬⣿⣾⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡄⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢒⣥⣾⠟⠈⠁⡀⠀⢾⣿⣼⣷⣾⣯⣶⣬⣷⣼⣞⢽⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠖⠒⠂⢀⣰⣿⣿⣿⣿⣿⣿⣧⢤⣿⣿⣿⣿⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣾⣻⣿⣯⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡷⣶⣾⣿⣟⣳⣦⣶⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿ ⣿⣿⣿⣿⣿⡿⡿⠛⡛⠟⠂⣑⣿⣿⣾⡿⣷⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣛⢿⣿⣿⣿⣿⡀⠀⠀⠢⡾⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⣶⣶⣿⠻⠋⠂⣀⣀⣸⣟⣛⣿⣿⣿⣿⠿⠋⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡋⠟⠐⠚⠀⠀⢸⣿⣞⣏⣽⣿⠟⠁⠀⠀⠀⠀⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⢁⡂⢴⠀⠀⠈⢿⣷⣾⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡈⠀⠈⠀⠀⠀⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠉⠉⠀⠀⠀⠀⠀⠀⢻⡿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢽⡇⣿⣿⡇⢸⣿⡇⠀⠀⠀⠀⠀⢠⠀⠀⢻⠃⢸⣿⠛⠃⠀⠀⡿⠿⠆⠸⠿⠇⠀⠟⠛⠃⠀⠀⠀⣿⢹⡆⠀⠀⢸⣿⠀⠀⢸⠇⠀⠀⠀⠀⠀⢠⣾⠉⣿⡆⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⣿⡇⣇⡘⠘⠁⠀⠀⠀⣤⡀⢸⣿⢀⡀⠀⠸⣿⠤⠄⠀⠀⣦⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢸⡇⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⡀⢸⣿⠤⣛⠁⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⣿⡇⠙⠀⠀⡀⢠⣿⠶⣿⡇⢸⣿⠈⣗⠀⠀⠈⠀⠀⠀⠀⣿⡆⢹⡇⢸⡇⠀⣿⡀⠀⠀⠀⣼⡷⢾⣿⠀⠀⠘⠋⠀⠀⠀⠀⠀⠀⠠⢾⡇⢸⣿⠀⣿⡇⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠙⠃⠀⠀⠘⠃⠘⠛⠀⠙⠃⠘⠛⠀⠉⠁⠀⠀⠀⠀⠀⠀⠉⠁⠈⠁⠈⠁⠀⠉⠉⠁⠀⠀⠉⠁⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠛⠃⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⠀⢀⡄⠒⣩⡴⣂⠅⠀⠁⠁⡄⢀⣀⠀⢂⣀⡀⣠⠈⢐⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⣥⡾⠞⠀⠀⠀⠀⢘⣷⣴⣖⣸⣯⣴⣨⣷⣠⠹⠐⣼⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠔⠐⠀⠀⣠⣾⣿⣿⣿⣿⣿⣧⢤⣿⣿⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⣶⣵⣷⣷⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣧⣤⣛⣟⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡷⣶⣶⣿⡟⠃⠂⢠⡜⣟⡟⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣷⣿ ⣿⣿⣿⣿⣷⢿⡟⠁⠋⠙⠃⢐⣾⣿⣴⢷⣷⢿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣷⣾⢿⣿⣿ ⣛⡻⣿⣿⣿⢿⠀⠀⠀⠀⢡⣵⣿⣝⣿⣾⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿ ⣤⣶⣾⡯⠙⠙⠂⠀⠀⢰⣾⣟⣺⣿⣿⣿⣿⠟⠁⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠭⠙⠀⠀⠀⠈⢤⣾⢒⠟⢾⣿⡿⠋⠀⠀⠀⠀⠻⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿ ⣿⣧⠀⠀⢶⠀⠀⠀⢽⣑⡤⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿ ⣿⣟⠀⠀⠀⠀⠀⠀⢼⣧⣾⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠉⠉⠀⠀⠀⠀⠀⠀⠛⡿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⣿⣿⡇⢸⣿⡇⠀⠀⠀⠀⠀⢀⠀⠀⠻⠃⢸⣿⠛⠃⠀⠀⣿⣿⡆⠸⣿⡇⠀⣶⠒⠃⠀⠀⠀⡱⢸⡆⠀⠀⢸⣿⠀⠀⢸⡇⠀⠀⠀⠀⠀⢀⣼⠉⢿⡆⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣿⡇⣇⡘⠘⠃⠀⠀⠀⣠⡀⢸⣦⢀⡄⠀⠸⣿⠤⠄⠀⠀⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⢸⡇⠀⠀⢸⣿⠀⠀⠈⠀⠀⠀⠀⠀⡀⢸⣿⠤⣛⠁⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⣿⡇⠙⠁⠀⠀⢠⣾⠶⣿⡇⢸⣿⠈⣆⠀⠀⠈⠀⠀⠀⠀⣿⡆⢸⡇⢰⡆⠀⣤⡀⠀⠀⠀⣼⡷⢾⣿⠀⠀⠘⠟⠀⠀⠀⠀⠀⠀⠠⢶⡇⢸⣿⠀⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⠀⠀⠐⠃⠘⠛⠀⠙⠃⠘⠛⠀⠉⠁⠀⠀⠀⠀⠀⠀⠉⠁⠈⠁⠈⠁⠀⠉⠉⠁⠀⠀⠉⠁⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠉⠀⠙⠃⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡫⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣶⣴⣶⠾⠿⠟⢿⢿⣿⣿⣿⡿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢵⣆⣀⡠⠄⡀⡠⣤⣄⡠⡀⡤⠅⠀⠠⠀⢀⣀⢀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⡰⡂⠀⣀⣰⣲⣿⣿⣿⡿⠀⠀⠀⠀⠀⠙⠛⠺⢿⣀⣀⠀⠀⠀⠈⠉⠛⠻⣿⣿⣿⣿⣿⣿⣟⣿⡿⣷⣶⣾⣿⣿⣿⢿⢽⣏⣿⣭⣅⣺⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣦⡀⡂⠁⢐⣀⠄⠀⢀⠨⠀⠈⣉⣔⣼⢻⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢦⣤⣀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⡏⣭⡿⣛ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠯⠛⡀⠆⠁⢀⠀⠐⠀⠁⠀⠈⢀⡐⠁⢬⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣦⡀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⠿⣿⣿⡿⣻⣿ ⠀⠀⠀⠀⠀⠀⠀⠄⣈⠡⠖⣈⢡⠀⠀⠀⠀⠀⠀⠀⠀⠠⠭⢽⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣦⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣞⣏⢿ ⠀⠀⠀⠀⠐⡠⠐⣉⣄⢒⢉⡠⠀⠀⢈⠀⠀⠀⠠⠀⠀⣸⣽⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣇⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⡤⠒⣩⡴⣃⠥⠀⠀⠁⡄⣀⣀⠀⢂⣀⡀⡠⠘⢈⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⣥⡾⠟⠀⠁⠀⠀⢘⣯⣴⣗⣺⣯⣴⣤⡷⣄⢈⣐⣽⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠔⠐⠀⠀⣠⣿⣿⣿⣿⣿⣿⣧⢤⣿⣿⢿⡿⣷⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣷⣵⣷⣷⣾⣿⣿⣿⣿⣿⣿⣿⣶⣻⣧⣬⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡗⣶⣶⡿⠟⠣⡆⢰⣿⠻⡟⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⠿⡿⣷⣿ ⣿⣿⣾⣿⣿⢿⡏⠁⠋⠐⡀⠀⢾⣧⣦⣒⣷⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⡿⣽⣿⣿⣿ ⣛⠛⢿⣿⣿⢯⠀⠀⠀⠀⠬⣄⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣾⣿⣿⣿ ⣴⣶⣴⣯⠙⠈⠀⠀⠐⢀⣞⢯⣛⣿⣿⣿⣿⠟⠁⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿ ⣿⣿⠉⠙⠀⠀⠀⠰⢨⢯⢖⠞⢺⣿⡿⠋⠀⠀⠀⠀⠻⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣟⢀⡀⣶⠀⠀⠀⢳⣫⣯⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣟⡀⠀⠀⠀⠀⠀⢸⣖⣾⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿ ⠉⠉⠀⠀⠀⠀⠀⠀⠙⡿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⣿⣿⡇⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢿⠃⢸⣿⠛⠃⠀⠀⣿⣿⡆⠸⣿⡇⠀⣶⠒⠃⠀⠀⠀⡸⢹⡆⠀⠀⢸⣿⠀⠀⢸⡇⠀⠀⠀⠀⠀⢀⣼⠉⣿⡆⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣿⡇⣇⡜⠸⠃⠀⠀⠀⣀⡀⢠⣬⢐⠅⠀⠸⣿⠤⠄⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⢸⡇⠀⠀⢸⣿⠀⠀⠈⠀⠀⠀⠀⠀⡀⢸⣿⠤⣛⠁⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⣿⡇⠙⠀⠀⠀⢠⣾⠶⣿⡇⢸⣿⠈⣦⠀⠀⠈⠀⠀⠀⠀⣿⡆⢱⡆⢠⡆⠀⣤⡀⠀⠀⠀⣼⡷⢾⣿⠀⠀⠘⠟⠀⠀⠀⠀⠀⠀⠀⢶⡇⢸⣿⠀⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⠀⠀⠐⠃⠘⠛⠀⠙⠃⠘⠛⠀⠉⠁⠀⠀⠀⠀⠀⠀⠉⠁⠈⠁⠈⠁⠀⠉⠉⠁⠀⠀⠉⠁⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠉⠀⠙⠃⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⠀⢀⠤⠒⣡⡔⣂⠥⠀⠁⠁⡄⡀⣀⠀⢂⣀⡀⡠⠈⢑⣯⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⣥⣾⠛⠈⠀⠀⠀⢸⣧⣽⣒⣿⣯⣴⣨⡷⣬⣽⠤⣽⣾⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠖⠒⠂⢀⣠⣿⣿⣿⣿⣿⣿⣧⢤⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⣾⣶⣶⣷⣾⣿⣿⣿⣿⣿⣿⣿⣶⣿⣧⣤⣞⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡷⣶⣾⣿⡿⠣⣦⢴⠎⣯⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⢿⡟⠃⠛⠒⠅⢐⣾⣷⡾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿ ⣟⠻⢿⣿⣿⣿⢀⠀⠀⠀⢹⣌⡻⣻⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣦⣶⣾⣟⠙⠭⠀⡄⠀⢨⣎⣝⣛⣿⣿⣿⣿⠟⠁⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠉⠉⡀⠀⠀⠠⢸⢿⣏⡟⣻⣿⡿⠋⠀⠀⠀⠀⠛⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠃⠀⠶⠁⠀⠀⢷⢾⣯⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⢼⣷⣾⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿ ⠉⠋⠀⠀⠀⠀⠀⠀⢙⡿⠿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⠀⢀⣠⠔⣣⠴⣂⠁⠀⠀⠉⣀⣀⢀⠀⢂⣀⡀⢄⠀⢰⡗⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⣥⢾⠟⠈⠀⠀⠀⣲⣭⣽⣆⣿⣿⣴⣬⠷⢼⣨⠁⣷⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠷⠖⠒⠀⠀⣀⣿⣿⣿⣿⣿⣿⣧⢤⣿⣿⡿⣷⣯⣾⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣵⣷⣿⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣇⣤⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿ ⣿⣟⣿⣿⣿⣿⣿⡷⣶⣶⣿⡟⠃⢆⣤⢯⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿ ⣿⣿⣿⣿⣿⢿⡟⠉⡛⡒⠂⣀⢩⣗⣶⡷⣾⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢛⣛⣿⣿⣿⣿⠀⠀⠀⠀⣴⣤⣜⣿⡿⣷⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣶⣶⣟⠛⠉⠀⠀⢀⠸⢏⡙⢛⣯⢿⣿⣿⡿⠋⠹⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠿⠉⠄⠀⠀⠀⢸⣿⣛⠉⢽⣿⣿⠟⠉⠀⠀⠀⠻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣟⣻⣿⣯⣿⣿⣿⣿⣿ ⣿⣿⠃⡀⠦⠂⠀⠘⠃⢪⣮⣽⣷⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠰⢚⣻⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠙⠁⠀⠀⠀⠀⠀⠀⢠⡷⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⣿⣿⡇⢸⣿⡇⠀⠘⠁⠁⠀⠀⠀⠀⢿⠃⢸⣿⠛⠃⠀⠀⣿⣿⡆⢸⣦⡄⠀⣤⠀⠀⠀⠀⠀⠿⢹⡆⠀⠀⢸⣿⠀⠀⢸⡇⠀⠈⠀⠀⠀⠀⣠⠉⣻⡆⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢐⡇⣿⡇⣇⡜⢸⡇⠀⠀⠀⢀⠀⢰⣆⠀⡀⠀⢸⣿⠤⠄⠀⠀⣋⠀⠃⠈⠈⠁⠀⠉⠀⠀⠀⠀⢰⡆⢸⡇⠀⠀⢸⣿⠀⠀⠸⠃⠀⠀⠀⠀⠀⢰⣿⠤⣚⠁⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⢻⠃⠀⠀⢀⣤⠶⣿⡇⢸⣿⠀⣇⠀⠀⠙⠀⠀⠀⠀⣿⡄⢱⡄⢠⡄⠀⣤⡀⠀⠀⠀⣼⡷⢾⣿⠀⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⢠⡆⢸⣿⠀⣸⡇⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⠀⠀⠀⠀⠘⠛⠀⠙⠃⠘⠛⠀⠉⠁⠀⠀⠀⠀⠀⠀⠉⠁⠈⠁⠈⠁⠀⠉⠉⠁⠀⠀⠉⠁⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠉⠀⠙⠃⠀⠀⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⠀⠀⡀⠐⣡⡐⣂⠁⠀⠁⠁⣄⡀⢀⠀⠀⣀⡀⣄⠈⢠⣌⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿ ⠀⣤⣾⠟⠀⠀⠀⠀⢐⣯⣭⣂⣻⣯⣴⣨⣿⣼⡥⢂⣧⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠶⠒⠀⢀⣀⣿⣿⣿⣿⣿⣿⣧⢤⣿⣿⣿⣷⣿⣲⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⣾⣷⣷⣷⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣷⣘⣿⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡷⣶⣿⣿⣟⢃⣦⣴⢮⢻⣽⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿ ⣿⣿⣿⣿⣿⢿⡟⠁⠻⠚⠀⠰⢰⡿⡽⢷⣶⣿⣽⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣟⠻⣿⣿⣿⣿⢀⠀⠈⠁⢤⣮⣩⣝⣿⣻⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣴⣷⣿⠟⠛⠂⠀⠀⣸⣒⡷⢹⢯⣿⣟⣿⣿⠟⠹⣿⣿⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿ ⣿⣿⡉⠹⠀⠄⠀⡠⡰⢽⢕⡫⢌⣋⣼⡿⠛⠁⠀⠀⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠃⡀⢦⠀⠀⠈⠽⢮⢭⣵⣷⣿⠏⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣟⠀⠀⠀⠀⠀⠀⠐⣀⣾⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠉⠉⠀⠀⠀⠀⠀⠀⡐⡴⠿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⠀⠀⡀⠔⣡⡴⣂⠁⠀⠉⠁⣄⣀⣀⠀⢀⣀⡀⡄⠜⢰⣔⣽⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⣨⣾⠟⠀⠀⠀⠀⢒⣅⣭⣆⣿⣯⣶⣬⣷⣄⡄⠃⣴⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠖⠒⠀⢀⣀⣿⣿⣿⣿⣿⣿⣧⢤⣿⣿⣿⣷⣶⣲⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⣶⣿⣷⣷⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⡧⣀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡷⣶⣷⣿⢟⠃⣦⣤⡶⢺⣿⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿ ⣿⣿⣿⣿⣿⣿⡟⠑⠋⡘⢒⠐⢳⣿⣾⡶⣾⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣛⠻⣿⣿⣿⢧⡀⠀⠀⠀⠦⡡⣬⣖⣿⣺⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⣦⣾⣿⠙⠯⠂⠀⠀⢨⣿⡇⢹⣟⣿⣿⣿⣿⠟⠻⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠉⠛⡄⠐⠄⡢⠼⣿⢑⢮⡝⣷⣼⡿⠛⠁⠀⠀⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣻⣯⣿⣿⣿⣿⣿ ⣿⣿⢀⠐⢦⠀⠀⠘⠷⢸⣌⣭⣷⣿⠏⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠐⢄⡺⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿ ⠉⠋⠀⠀⠀⠀⠀⠀⢰⡠⠿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⠀⠀⡠⠐⣡⡴⣂⠅⠀⠁⠁⣄⣀⣀⠀⢀⣀⡀⣄⣰⢨⣾⣾⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⡀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿ ⢀⣦⣾⠟⠀⠁⠀⠀⢰⣭⣬⣖⣿⣯⣶⣨⡷⣄⢀⢁⣖⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠶⠒⠂⢀⣠⣿⣿⣿⣿⣿⣿⣧⢤⣿⣿⡿⢿⣿⢳⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣷⣷⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣷⡴⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣻ ⣿⣿⣿⣿⣿⣿⣿⡷⣶⣾⣿⡿⢃⣆⣴⡾⢽⣼⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡿⠃⠻⠖⡂⡐⠹⡟⢿⡎⣶⣾⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠟⢻⣿⣿⣿⣧⢀⠀⠀⠠⣴⠥⡌⣿⣿⣵⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣷⣾⣿⠟⠋⠀⠀⢀⠸⠎⣻⢺⣯⣿⣿⣿⣿⠟⠹⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡋⠛⡀⠀⠀⠲⣼⣿⡅⠯⡜⣯⣼⡿⠛⠁⠀⠀⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⢃⡀⢦⠀⠀⠀⢿⢺⣍⢡⣾⣿⠋⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣟⠈⠀⠀⠀⠀⠀⠸⢞⣋⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠉⠋⠀⠀⠀⠀⠀⠀⠀⡻⠿⠿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠠⠀⠀⠀⠀⠀⠀⠀⢰⡇⣿⣿⡇⢸⣿⡇⠀⠘⠉⠁⠀⠐⠈⠀⣿⠃⢸⣿⠛⠃⠀⠀⣿⣷⡄⢠⣀⡀⠀⠀⠀⠀⠀⠀⠀⠿⢹⡆⠀⠀⢸⣿⠀⠀⢸⡇⠀⠈⠀⠀⠀⠀⣠⠉⣻⡆⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢈⡃⣿⡇⣇⡼⢸⡇⠀⠀⠀⠀⠀⢀⣠⠐⠉⠀⢸⣿⠤⠀⠀⠀⣿⠁⠇⠋⠸⠇⠀⠛⠀⠀⠀⠀⠐⡂⢸⡇⠀⠀⢸⣿⠀⠀⠸⠃⠀⠀⠀⠀⠀⢸⣿⠤⣛⠁⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⣿⡇⢻⠇⠈⠀⠀⣠⠴⣾⡆⢸⣿⠀⣔⠀⠈⠿⠀⠀⠀⠀⣿⡀⢠⡀⢀⡀⠀⢀⠀⠀⠀⠀⣼⡷⢾⣿⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⢠⡇⢸⣿⠀⢼⡇⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠙⠃⠈⠀⠀⠀⠘⠛⠀⠙⠃⠘⠛⠀⠉⠁⠀⠀⠈⠁⠀⠀⠉⠁⠈⠁⠈⠁⠀⠉⠉⠁⠀⠀⠉⠁⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠉⠀⠙⠃⠀⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⠀⢀⡠⠔⣣⡰⣁⠅⠀⠉⠁⣄⡀⣀⠀⠂⣀⡀⣄⡈⢰⣒⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣇⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⣦⢾⠟⠈⠀⠀⠀⢺⣥⣽⣖⣿⣯⣴⣬⣿⣼⠑⠠⣶⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡆⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠶⠒⠀⢀⣀⣿⣿⣿⣿⣿⣿⣧⢤⣿⣿⣿⣷⣿⣻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣷⣷⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣯⣼⣻⣟⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡷⣶⣿⣿⡿⢇⣆⣴⣾⢯⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿ ⣿⣿⣿⣿⣿⣿⡿⠓⠛⠛⠃⢠⠷⣗⣷⣿⣶⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣛⣻⣿⣿⣿⡧⠀⠀⠀⠀⢀⡍⣵⣿⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣶⣾⣿⠛⠋⠀⠀⢀⢰⣟⣿⣻⣿⣻⣿⣿⡿⠛⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠉⠝⡀⠀⠀⠠⢜⣷⢊⠷⠟⣧⣼⠿⠋⠀⠀⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣟⠂⠀⠶⠀⠀⠘⢃⢩⡸⣥⣤⡿⠁⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡈⠀⠀⠀⠀⠀⠠⢄⣻⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠉⠋⠀⠀⠀⠀⠀⠀⠀⡤⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⠀⢀⠠⠒⣫⠴⡁⠄⠁⠉⠁⣄⢀⣀⠐⢢⣄⡀⡨⠠⢘⣺⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⣩⣾⠟⠈⠀⠀⠀⠺⣆⣽⣶⣸⣯⣴⣨⠷⡼⣀⢑⣳⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠷⠖⠐⠂⢀⣀⣿⣿⣿⣧⣿⣿⣧⢤⣿⣿⣿⣿⣿⣻⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣶⣶⣷⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣷⣍⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠇⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣗⣶⣿⣿⣿⠑⣆⣴⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿ ⣿⣿⣿⣿⣿⡷⠟⠚⠿⠿⠄⢐⣽⢿⣷⡷⣾⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢛⡛⣿⣿⣿⣗⠀⠀⠀⠀⢘⣭⢻⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣦⣾⣿⠛⠉⠀⡀⠠⣴⣙⡛⠺⣟⡿⣿⣿⠟⢻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠟⠙⠀⠀⠀⠀⢸⠵⣈⠄⣍⣷⡿⠋⠀⠀⠈⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡿⢀⠠⡦⠀⠀⠀⢡⠄⢫⣿⣿⠋⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡋⠈⠀⠀⠀⠀⠀⠸⢀⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠋⠁⠀⠀⠀⠀⠀⠀⠠⡵⠿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣿⣿⡆⢸⣿⠃⠀⠈⠁⠀⠀⠈⢻⢀⣿⠃⢸⣿⠛⠃⠀⠀⣷⣶⡄⢀⣀⡀⠀⢀⠐⠃⠀⠀⠀⡿⢹⡆⠀⠀⢸⣿⠀⠀⢸⡇⠀⠀⠀⠀⠀⢠⣿⠉⣿⡆⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⡇⣇⡜⠈⠀⠀⠀⠀⠀⠀⢠⣠⠘⠏⠀⢸⣿⠤⠀⠀⠀⠟⠁⠇⠋⠘⠃⠀⠛⠀⠀⠀⠀⢰⡇⢸⡇⠀⠀⢸⣿⠀⠀⠈⠀⠀⠀⠀⢀⡀⢸⣿⠤⣛⠁⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⠇⣿⡇⠘⠁⠀⠀⢀⣴⠶⣿⡇⢸⣷⠀⠈⠀⠸⣿⠀⠀⠀⠀⣦⠀⢀⡀⢀⠀⠀⣀⠀⠀⠀⠀⣼⡷⢾⣿⠀⠀⠸⠟⠀⠀⠀⠀⠀⠀⠠⣾⡇⢸⣿⠀⣿⡇⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠃⠘⠛⠀⠙⠃⠘⠋⠀⠉⠀⠀⠀⠉⠁⠀⠀⠉⠁⠈⠀⠈⠁⠀⠉⠉⠁⠀⠀⠉⠁⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠉⠀⠙⠃⠉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⠀⢀⠠⠒⣩⠴⡁⠀⠀⠀⠁⡄⢀⣀⠀⠢⣀⡀⠂⠀⢈⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣇⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⣧⣾⠿⠀⠀⠀⠀⢺⣌⣭⣶⣸⣯⣴⣬⣷⣜⠀⢐⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡄⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠷⠶⠒⠂⢀⣀⣾⣿⣿⣷⣿⣿⣧⠤⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣾⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣶⣿⣯⡁⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡗⣶⣿⣿⡿⠱⣆⣴⡾⢟⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿ ⣿⣿⣿⣿⣿⣿⡿⠚⠋⠑⠀⣐⣼⢟⣿⣖⣾⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢛⢛⣿⣿⣿⣿⡀⠀⠀⠀⣦⡭⣳⣿⣷⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣶⣶⣿⠛⠟⠁⠀⢠⣼⢿⣧⣻⡿⡛⣿⡿⠛⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠛⠋⠄⠀⠀⠀⢠⡫⣈⣨⣩⣶⠞⠋⠀⠀⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿ ⣿⢟⠀⠠⠶⠁⠀⠀⠩⢀⢛⣷⡿⠁⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡏⠀⠀⠀⠀⠀⠀⠠⠆⣽⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠋⠁⠀⠀⠀⠀⠀⠀⠄⠼⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡆⣿⣿⡆⢸⣿⠇⠀⠘⠁⠀⠀⠘⢿⢀⣿⠃⢸⣿⠛⠃⠀⠀⣶⣦⡄⢀⣀⡀⠀⣠⠚⠃⠀⠀⠀⣿⢹⡆⠀⠀⢸⣿⠀⠀⢸⡇⠀⠀⠀⠀⠀⢰⣿⠉⣿⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢼⡇⣿⡇⣇⡜⠀⠀⠀⠀⠀⠀⠀⢠⠌⠸⣏⠀⢸⣿⠤⠀⠀⠀⠿⠁⠇⠏⠘⠇⠀⠛⠀⠀⠀⠀⢰⡇⢸⣇⠀⠀⢸⣿⠀⠀⠈⠀⠀⠀⠀⢠⡀⢸⣿⠤⣛⠁⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠺⠇⣿⡇⠈⠁⠀⠀⢀⣶⠶⣿⡇⢸⣿⠀⠈⠀⠸⣿⠀⠀⠀⠀⣦⠀⢀⡀⢀⠀⠀⣀⠀⠀⠀⠀⣼⡷⢾⣿⠀⠀⠸⠛⠀⠀⠀⠀⠀⢀⠤⢾⡇⢸⣿⠀⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠘⠃⠘⠛⠀⠙⠃⠘⠉⠀⠁⠀⠀⠉⠉⠁⠀⠀⠉⠁⠈⠀⠈⠁⠀⠉⠉⠁⠀⠀⠉⠁⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠁⠈⠉⠀⠙⠃⠙⠻⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⠀⢀⠀⠐⣩⠤⡁⠁⠀⠈⠁⡄⠀⢀⠐⢠⣀⡀⠠⠀⢨⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣇⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿ ⢀⣧⣶⠟⠀⠀⠀⠀⠶⣀⣄⣶⣼⣯⣴⣬⣷⣜⢠⢔⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡄⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠷⠶⠒⠂⢀⣐⣿⣿⣟⣧⣿⣿⣧⢤⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣷⣶⣷⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡩⣟⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠗⣶⣿⣟⣿⢳⣦⣴⡾⢿⢻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣾⠟⠉⡯⢘⠊⣾⢿⣦⢷⣯⣾⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠟⡻⣿⣿⣿⣧⢀⠀⠀⠀⠀⣎⣻⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣤⣴⣾⣿⠛⠛⠀⠀⢠⣬⢽⣏⣻⣟⠟⣿⡿⠛⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠛⠋⠀⠀⠀⠀⢸⠿⣝⣥⣯⣷⡾⠋⠀⠀⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡧⠀⠀⠦⠀⠀⠈⠋⡂⣏⣿⣿⠋⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠈⠞⣽⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠛⠁⠀⠀⠀⠀⠀⠀⠄⡼⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿ 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⠀⢀⡠⠔⣩⠔⡁⠁⠁⠀⠁⣄⢀⣀⠐⠀⡀⠀⠀⢀⢀⣾⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡇⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⣧⡾⠿⠈⠀⡀⠀⠺⣆⣤⣢⣼⣯⣶⣰⣷⣜⠁⢔⣼⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠗⠶⠚⠂⢀⣰⣿⣿⣿⣧⣿⣿⣧⢤⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣽⣿⣿⣶⣷⣾⣿⣿⣿⣿⣟⣿⣻⣺⣿⣯⢡⣎⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡷⣶⣿⣿⣿⢇⣀⣠⣾⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣾⣿⣿⣾⡿⠙⠛⠋⡀⣼⣿⢷⢴⣦⣾⣾⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣛⢻⣿⣿⣿⣏⡀⠀⠀⠀⢀⢽⣻⣟⣿⣯⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣶⣾⣿⠛⠋⠁⡀⠀⡰⣿⣿⣻⣏⡛⣿⣿⠟⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿ ⣿⣿⠙⠋⠀⠀⠀⠀⣨⠆⢄⢠⣹⣷⡾⠟⠁⠀⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿ ⣿⡿⠀⠀⠶⠀⠀⠈⠉⠀⠕⣽⣿⠋⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢉⠀⠁⠀⠀⠀⠀⠠⠀⣽⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠙⠀⠀⠀⠀⠀⠀⠀⠀⡼⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿ 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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣦⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣴⣶⣾⣿⣿⡿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣷⣄⠠⠄⠀⠀⣀⣀⣀⣤⠼⠗⠀⡠⠀⢀⢀⣈⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⡠⠒⢀⣀⣤⢾⡿⢿⣿⡿⠿⠓⠀⠈⠀⠀⠀⠀⠉⠉⠉⠛⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢶⣿⣫⣷⣶⣾⡿⣿⣿⣿⣷⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣀⡀⠄⢀⡀⠂⠀⣀⠪⠁⢀⢈⡄⠜⠩⣹⣿⡿⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣿⣿⣿⣿⡻⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠿⢛⡁⠆⠀⢀⠠⠀⠀⠁⠀⠀⣀⠀⢂⣠⣾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⢷⣦⣄⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠐⡃⠠⠆⢠⢄⠀⠀⠀⠀⠀⠀⠀⠀⡗⠜⣥⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⡀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣹ ⠀⠀⠀⠀⠐⡈⢀⣇⡀⠂⠛⠁⠀⠀⣊⡀⠀⠀⠀⠀⠀⢰⣾⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣦⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿ ⠀⢀⡠⠒⣡⠔⡁⠁⠀⠀⠁⡄⢀⣂⠐⢠⣤⡀⠀⠀⢀⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡆⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⣧⣾⠟⠈⠀⠀⠀⠒⣀⣤⣶⣸⣯⣴⣤⣷⠜⠁⢈⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠷⠶⠒⠂⠀⣀⣿⣿⣟⣧⣿⣿⣧⢤⣿⣿⣿⣧⣿⣾⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣷⣷⣾⣿⣿⣿⣿⣿⣿⣿⣶⣿⣧⣝⡟⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡗⣶⣿⣟⢿⢳⣦⣴⡿⢿⣽⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿ ⣿⣿⣿⣿⣿⣿⡿⠀⠛⠉⡃⢸⣿⢿⣿⡷⣾⣾⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡛⢻⣿⣿⣿⢟⢀⠀⠀⠀⢠⡬⣳⣿⣾⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣤⣤⣼⣿⠟⠙⠀⠀⠄⢠⢿⣿⣻⣿⣟⣿⣿⠟⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠛⠟⠀⠀⠀⡀⢠⡇⢌⢄⣩⣷⡾⠋⠀⠀⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿ ⣿⡿⠀⠠⠶⠀⠀⠀⠋⠠⣉⣭⡿⠋⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿ ⣿⠃⠈⠁⠀⠀⠀⠀⠀⠐⣾⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠛⠀⠀⠀⠀⠀⠀⠀⣄⡼⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⢀⠀⠀⠀⠀⠀⠀⠀⢀⡇⣿⣿⡆⢸⣿⠇⠀⠈⠀⠀⠀⠘⣿⢀⣿⠁⢸⣿⠛⠃⠀⠀⣴⣦⡀⢀⠀⠀⠀⢠⠚⠃⠀⠀⢀⡿⢹⡆⠀⠀⢸⣿⠀⠀⢸⡇⠀⠀⠀⠀⠀⢰⣿⠉⣿⡆⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⣿⡇⣇⡜⠀⠀⠀⠀⠀⠀⠀⢀⠀⠘⣏⠀⢸⣿⠤⠀⠀⠀⠿⠃⠇⠟⠸⠇⠀⠿⠄⠀⠀⠀⢸⡇⢸⣇⠀⠀⢸⣿⠀⠀⠈⠀⠀⠀⠀⢀⡀⢸⣿⠤⣛⠁⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠺⠇⣿⡇⠈⠁⠀⠀⢀⣴⠶⣿⡇⢸⣿⠀⠈⠀⠸⣿⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⣼⡷⢾⣿⠀⠀⠸⠛⠀⠀⠀⠀⠀⠀⠠⢾⡇⢸⣿⠀⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠐⠃⠘⠛⠀⠙⠃⠘⠉⠀⠀⠀⠀⠉⠉⠃⠀⠀⠉⠀⠈⠀⠈⠁⠀⠉⠉⠁⠀⠀⠉⠁⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠁⠈⠉⠀⠙⢃⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⠀⢀⡠⢖⣫⠤⣃⠀⠁⠈⠁⣤⢀⣂⠐⢠⣤⡀⠀⠨⢐⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡄⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⣢⠾⠿⠈⠀⠀⠀⠺⣄⣤⣶⣼⣯⣶⣨⣷⣌⠀⢈⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠷⠶⠒⠂⢀⣐⣿⣿⣿⣧⣿⣿⣧⢤⣿⣿⣿⣿⣩⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣶⣷⣷⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣯⡨⣟⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠇⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠗⣶⣿⢿⣻⢳⣦⢰⣲⣷⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡾⠟⠉⠛⠓⠕⠸⡿⢿⡿⡼⣾⣾⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿ ⣻⢛⣿⣿⣿⣇⠀⠀⠀⠀⠀⡥⣻⢻⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣶⣾⣿⠟⠛⠂⠀⢀⡠⣷⢗⡾⡟⡟⣿⣿⠿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢿⣿⣿⣿⣿⣻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠋⠛⡀⠀⠀⡀⣸⡯⢈⠤⣨⣿⡾⠋⠀⠀⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿ ⣿⡿⠀⠀⠶⠀⠀⠀⠩⠀⣏⣽⡿⠃⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿ ⣿⣃⠀⠁⠀⠀⠀⠀⠀⠀⣼⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠙⠀⠀⠀⠀⠀⠀⠀⠀⡸⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡆⣿⣿⡆⢸⡿⠇⠀⠈⠁⠀⠀⠘⣿⢀⣿⠁⢸⣿⠛⠃⠀⠀⣤⣄⡀⠀⠀⠀⠀⢠⠚⠃⠀⠀⠀⣿⢹⡆⠀⠀⢸⣿⠀⠀⢸⠇⠀⠀⠀⠀⠀⢸⣿⠉⣿⡆⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⣿⡇⣇⡜⠀⠀⠀⠀⠀⠀⠀⠀⠈⠸⣏⠀⢸⣿⠤⠀⠀⠀⣿⠃⠇⠞⠸⠇⠀⠿⠄⠀⠀⠀⢰⡇⢸⣇⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⢠⡀⢸⣿⠤⣛⡁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⠇⣿⡇⠘⠁⠀⠀⢀⣶⠶⣿⡇⢸⣧⠀⠈⠀⢸⣿⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⣼⡷⢾⣿⠀⠀⠘⠛⠀⠀⠀⠀⠀⢀⠠⢾⡇⢸⣿⠀⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠐⠃⠘⠛⠀⠙⠃⠈⠉⠀⠀⠀⠀⠉⠉⠃⠀⠀⠉⠀⠈⠀⠈⠁⠀⠉⠉⠁⠀⠀⠉⠁⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠁⠈⠉⠀⠛⠃⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣤⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣴⣶⣾⣿⢿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣷⣭⣅⡀⠠⠄⠀⡀⣀⣀⣀⣤⠼⠍⠀⠠⠀⢀⣉⢀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠠⡄⢀⣀⡤⠾⡿⠿⣿⡿⠿⠓⠊⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣷⣶⢾⣿⣿⣿⣿⣿⣿⣿⣯⣳⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⣀⡀⠄⢐⠀⠄⠀⣀⡚⠁⢀⢩⠄⠌⠩⣸⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣻ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠿⢛⣁⠆⠀⢀⠀⠀⠀⠀⠀⠀⢀⠀⢂⣠⣾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣷⣤⣀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣛⣛ ⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠖⢨⣄⠂⠠⠀⠀⠀⠀⠀⠀⠁⠈⣰⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣷⡀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣿⣿⣿⣿⣿⣟⣾ ⠀⠀⠀⠀⠀⡀⠄⣋⡡⠖⠓⠩⠀⠀⢂⡀⠀⠀⠀⠀⠀⢰⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣆⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿ ⠀⢀⡠⠒⣡⠄⡀⠁⠀⠈⠁⣀⢀⠀⠀⢠⣄⠀⡀⢀⢐⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡄⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⣣⣶⠟⠀⠀⠀⠀⠲⡌⣤⣶⣼⣯⣴⣨⣷⢜⡁⣌⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠗⠶⠒⠀⢀⣠⣿⣿⣿⣧⣿⣿⣧⢤⣿⣿⣿⣿⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣽⣿⣿⣷⣷⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡀⣛⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠇⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⣿⣟⣿⣿⣿⣿⣿⡷⣶⣿⢿⡿⢣⣆⣴⡾⣳⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣯⣿ ⣿⣿⣿⣿⣿⢿⠟⠘⠛⠙⡉⣑⡿⢷⣶⣦⣶⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣛⡻⣿⣿⣿⣷⢀⠀⠠⠁⢄⣰⢳⣿⣷⣟⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿ ⣶⣶⣿⣿⠟⠋⠂⢀⠠⠴⣟⡿⣻⡇⠛⣿⣿⠿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣟⠟⠛⡀⠄⠀⠂⡘⡇⠀⠀⣮⣿⡾⠋⠀⠀⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡷⠀⠀⠶⠀⠀⠀⠡⠂⢆⣼⡿⠋⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡋⠉⠈⠀⠀⠀⠀⠀⢀⣼⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢝⡃⠀⠀⠀⠀⠀⠀⣄⠽⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢂⠀⠀⠀⠀⠀⠀⠀⢠⡇⣿⣿⡆⢸⡿⠇⠀⠈⠁⠀⠀⠘⣿⢀⣿⠃⢸⣿⠛⠃⠀⠀⣤⣄⡀⠀⠀⠀⠀⣠⠚⠃⠀⠀⠀⣿⢹⡆⠀⠀⢸⣿⠀⠀⢸⡇⠀⠀⠀⠀⠀⢸⣿⠉⢿⡆⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⣿⡇⣇⡜⠀⠀⠀⠀⠀⣀⠀⢀⡈⠸⣏⠀⢸⣿⠤⠀⠀⠀⡿⠃⠇⠞⠸⠇⠀⠟⠄⠀⠀⠀⢸⡇⢸⣇⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⢠⡀⢸⣿⠤⣛⡁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠺⠇⣿⡇⠘⠁⠀⠀⢀⣶⠶⣿⡇⢸⣦⠀⠈⠀⢸⣿⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⣼⡷⢾⣿⠀⠀⠘⠛⠀⠀⠀⠀⠀⢀⠠⢾⡇⢸⣿⠀⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠐⠃⠘⠛⠀⠙⠃⠈⠉⠀⠀⠀⠀⠉⠉⠃⠀⠀⠉⠀⠈⠀⠈⠁⠀⠉⠉⠁⠀⠀⠉⠁⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠁⠈⠉⠀⠛⢃⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣴⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣴⣶⣾⣿⢿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣷⣿⣷⡄⠠⠄⠀⠀⢀⣀⣀⣤⡼⠓⠀⣰⠀⢀⣈⣨⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠠⠖⢀⠀⡤⠼⣿⡿⣿⡿⠿⠃⠊⠀⠀⠀⠀⠀⠉⠉⠙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣼⣷⣶⣾⣿⣾⣿⣿⣿⣶⣿⣿⣢⣽⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣀⡀⠄⠐⠀⠦⠀⣀⣺⠁⢐⢡⡄⠄⡸⣺⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⠿⢛⣁⠤⠀⢀⠀⠀⠀⠀⠀⠀⢀⠀⢀⣠⣾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣶⣤⡀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣻ ⠀⠀⠀⠀⠀⠀⡀⠐⠂⠀⠂⢠⣄⠂⠢⠀⠀⠀⠀⠀⠀⡕⠜⣵⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣧⡀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣹ ⠀⠀⠀⠀⠐⡀⢄⣂⡠⠖⠓⠀⠀⠀⢂⡀⠀⠀⠀⠀⠀⣰⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⣆⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿ ⠀⢀⣠⠒⣣⡄⡃⠀⠀⠀⠁⡄⢀⢀⠀⢀⣀⡀⠀⢀⢐⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⣢⣾⠏⠀⠀⠀⠀⠒⡀⣤⣶⣸⣯⣶⣬⣷⠀⣀⢌⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠷⠲⠒⠀⢀⣀⣿⣯⣝⣦⣟⣾⣧⢤⣿⣿⣿⣇⢷⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻ ⣿⣿⣷⣷⣷⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣷⡲⣞⣽⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿ ⣿⣟⣿⣿⣿⣿⣿⡗⣶⣿⣿⣿⠁⣄⣤⠶⢿⣻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿ ⣿⣿⣿⡿⣿⣼⠿⠉⠛⠛⠀⠰⣾⢿⣳⣦⣶⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿ ⣛⠛⣻⣷⣿⢧⢀⠀⠀⠈⢔⣂⣓⢭⢿⣙⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿ ⣤⣶⣶⣿⠝⠋⠂⠂⣀⢀⢱⡿⣋⣷⣙⣾⡿⠿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿ ⣿⣟⠛⠁⠀⠀⠀⠀⠬⠁⠀⠉⣤⣷⡾⠋⠀⠀⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣧⠀⠀⠆⠁⠀⠀⠀⠀⢦⣮⡿⠋⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠉⠁⠀⠀⠀⠀⠀⠀⠀⡼⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⣿⣿⡆⢸⡿⠃⠀⠈⠁⠀⠀⠸⣿⢀⣿⠃⢸⣿⠚⠂⠀⠀⣤⡀⡀⠀⠀⠀⠀⣠⠚⠃⠀⠀⠀⣿⢹⡆⠀⠀⢸⣿⠀⠀⢸⠇⠀⠀⠀⠀⠀⢸⣿⠉⢿⡆⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣺⡇⣿⡇⣇⡜⠀⠀⠀⠀⠀⡀⠀⠠⠘⠸⣏⠀⢸⣿⠤⠀⠀⠀⣿⠃⡇⠞⠸⠇⠀⠿⠄⠄⠀⠀⢸⡇⢸⣇⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⢠⡀⢸⣿⠤⣛⡁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⠇⣿⡇⠈⠁⠀⠀⢀⣶⠶⣿⡇⢸⣦⠀⠈⠀⢸⣿⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⣼⡷⢾⣿⠀⠀⠘⠛⠀⠀⠀⠀⠀⢀⠠⢾⡇⢸⣿⠀⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠐⠃⠘⠛⠀⠙⠃⠈⠉⠀⠀⠀⠀⠉⠉⠃⠀⠀⠉⠀⠈⠀⠈⠁⠀⠉⠉⠁⠀⠀⠉⠁⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠁⠈⠉⠀⠛⠃⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣴⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣴⣶⣾⣿⢿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣷⣿⣿⣷⣿⣯⣀⠠⠄⠀⠀⢀⣀⣀⣄⡶⠓⠀⡰⠀⢀⣙⣀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⡠⠖⢀⠀⣤⠾⡿⠿⣿⡿⠿⠓⠃⠁⠀⠀⠀⠀⠉⠉⠙⠛⠻⠿⢿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣷⣿⣜⣧⣶⣾⣿⣷⣿⣷⣻⣿⣿⣯⣃⣟⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣀⡀⠄⢐⡀⠴⠈⣀⣺⠉⢀⢨⡄⠄⡡⣞⣼⡯⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣻ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⠿⢛⣡⠄⠀⢀⠀⠀⠀⠁⠀⠀⢀⠀⢀⣠⣾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣦⣤⡀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣛⣛ ⠀⠀⠀⠀⠀⠀⡀⠔⠃⠀⠆⣈⣄⠂⠠⠀⠀⠀⠀⠀⠀⠁⠰⣰⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣦⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣱ ⠀⠀⠀⠀⠐⡠⢀⣂⡠⠖⠓⠀⠀⠀⢂⡀⠀⠀⠀⠀⠀⣠⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⣄⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⡠⠒⣡⠔⣃⠀⠁⠀⠁⡄⢀⢀⠀⢂⣀⠀⠀⠐⢐⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿ ⢀⣧⣶⠏⠀⠀⠀⠀⠒⠄⣤⣴⣼⣯⣶⣨⡷⡄⡀⢌⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠷⠲⠂⠀⢀⣠⣿⣯⣽⣧⣿⣾⣧⢤⣿⣿⣿⣇⣦⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟ ⣿⣷⣶⣶⣷⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣷⢠⣞⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡿⣿⣿⣿⣿⣿⡗⣶⣿⣿⣿⢃⣄⣤⠤⢯⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿ ⣿⣿⣿⣿⣿⣿⡟⠈⠋⠉⠂⣰⢺⣯⢷⣂⣶⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⢾⣷⣿⣾⣿⣿⣿⣿⣿ ⠛⢙⣿⣷⣿⣿⢀⠀⠀⠈⣂⣚⢃⣷⡫⡘⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⣴⣶⣿⠟⠛⠂⠀⠀⠀⠟⠝⣊⣇⡙⣾⡿⠿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿ ⣿⡟⢛⠓⠀⠀⠀⠂⠸⠃⠀⠀⣆⣷⡿⠋⠀⠀⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿ ⣿⡗⠄⠀⡆⠃⠀⠀⠁⠀⢤⣬⡿⠃⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠉⠁⠀⠀⠀⠀⠀⠀⠄⠽⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⠀⠀⠀⠀⠀⠀⠀⢠⡇⣿⣿⡆⢸⡿⠃⠀⠘⠀⠀⠀⠘⣿⢀⣿⠁⢰⣿⠛⠃⠀⠀⣄⡀⠀⠀⠀⠀⠀⣠⠚⠃⠀⠀⠀⣿⢹⡆⠀⠀⢸⣿⠀⠀⢸⠇⠀⠀⠀⠀⠀⢸⣿⠉⣿⡆⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⣿⡇⣇⡜⠀⠀⠀⠀⠀⠀⠀⠀⠈⠸⣏⠀⢸⣿⠤⠀⠀⠀⣿⠃⡇⡞⢸⡇⠀⡿⠄⠀⠀⠀⢸⡇⢸⣇⠀⠀⢸⣿⠀⠀⠈⠀⠀⠀⠀⢠⡀⢸⣿⠤⣛⡁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠿⠇⣿⡇⠈⠁⠀⠀⢀⣶⠶⣿⡇⢸⣤⠀⠈⠀⢸⣿⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⣼⡷⢾⣿⠀⠀⠘⠛⠀⠀⠀⠀⠀⢀⠠⢾⡇⢸⣿⠀⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠃⠘⠛⠀⠙⠃⠈⠉⠀⠀⠀⠀⠉⠉⠃⠀⠀⠉⠀⠈⠀⠈⠀⠀⠉⠉⠁⠀⠀⠉⠁⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠈⠁⠈⠉⠀⠛⠃⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⠀⢀⡠⠐⣫⡴⣃⠀⠀⠈⠀⣄⢀⢀⠐⢢⣀⡀⡀⠀⢐⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⣣⣾⠏⠀⠀⠀⠀⠒⡀⣠⣴⣸⣯⣶⣼⡷⡄⣀⢌⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠷⠶⠒⠀⢀⣠⣿⣯⣟⣧⣿⣾⣧⢤⣿⣿⣿⣗⣴⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⣿⣦⣷⣷⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣷⠠⣏⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣟⣿⣿⣿⣿⣿⡻⣶⣿⣿⣿⢧⣄⣤⣽⢯⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿ ⣿⣿⣿⣿⣿⣿⡟⠐⠛⠉⠀⢠⣿⢟⢷⢦⣾⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡿⣿⣿⣾⣷⣿⣿⣿⣿⢿⣿⣿ ⣛⣻⣿⣿⣿⡷⠀⠀⠀⠈⣢⣬⣛⣯⡮⡪⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣴⣶⣿⠟⠛⠀⡀⠤⡀⡾⢽⢯⣇⣍⣿⡿⠿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿ ⣿⡯⠉⠋⡀⠀⠄⠤⣸⠂⠀⠀⣨⣷⡿⠋⠀⠀⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿ ⣿⡿⠤⠀⠦⠀⠀⠀⠁⠀⢀⣬⡿⠋⠀⠀⠀⠀⠀⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿ ⣿⡏⠈⠀⠀⠀⠀⠀⠀⢀⣾⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡙⡁⠀⠀⠀⠀⠀⠀⡀⠼⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⠀⠀⠀⠀⠀⠀⠀⢠⡇⣿⣿⡆⢸⣿⠇⠀⠘⠁⠀⠀⠸⢿⢀⣿⠁⢰⣿⠛⠃⠀⠀⣄⡀⠀⠀⠀⠀⠀⣠⠚⠃⠀⠀⠀⣿⢹⡆⠀⠀⢸⣿⠀⠀⢸⡇⠀⠀⠀⠀⠀⢸⣿⠉⣿⡆⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⣿⡇⣇⡜⠀⠀⠀⠀⠀⢀⠀⢀⠊⠸⣏⠀⢸⣿⠤⠀⠀⠀⣿⠃⡇⡞⠸⡇⠀⠿⠄⠀⠀⠀⢸⡇⢸⣇⠀⠀⢸⣿⠀⠀⠈⠀⠀⠀⠀⢠⡀⢸⣿⠤⣛⡁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠿⠇⣿⡇⠈⠁⠀⠀⢀⣾⠶⣿⡇⢸⣧⠀⠈⠀⢸⣿⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⣼⡷⢾⣿⠀⠀⠘⠛⠀⠀⠀⠀⠀⢀⠠⢾⡇⢸⣿⠀⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠐⠃⠘⠛⠀⠙⠃⠘⠉⠀⠀⠀⠀⠉⠉⠃⠀⠀⠉⠀⠈⠀⠈⠁⠀⠉⠉⠁⠀⠀⠉⠁⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠈⠁⠈⠉⠀⠛⠃⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⠀⢀⡠⢒⡩⠔⡃⡀⠁⠀⠀⣄⢀⠂⠐⢢⣤⡀⡀⢑⢐⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⣥⣶⠏⠈⠀⠀⠀⠂⠄⣬⣴⣼⣯⣴⣸⣷⠄⠀⢐⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠷⠲⠂⠀⢀⣰⣿⣿⣟⣧⣟⣾⣧⢤⣿⣿⣿⣇⣗⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣾⣶⣷⣷⣾⣿⣿⣷⣽⣽⣿⣿⣾⣿⣿⢀⣏⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠛⣿⣿⣿⣿⣿⠗⣶⣿⣿⣿⠣⣆⣴⡿⢿⣻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣾⣿⣿⣾⡿⠚⠛⠛⠉⠡⣽⣿⢾⣿⣾⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣛⣻⣿⣿⣿⢿⢀⠀⠄⠀⢠⣉⣛⢻⣿⡿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣶⣶⣿⠟⠋⠁⠀⢀⠡⣽⣿⣯⢇⣛⣾⣿⠿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠫⠋⡀⠀⠀⠀⡿⠃⠀⠈⢀⣷⣾⠟⠁⠀⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿ ⣿⣿⠀⠀⠶⠀⠀⠀⠁⠀⢠⣬⣿⠏⠁⠀⠀⠀⠀⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣇⠁⠀⠀⠀⠀⠀⠀⠀⣼⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠉⠉⠀⠀⠀⠀⠀⠀⠀⡸⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⠀⢀⣠⢐⣯⠴⣃⠅⠁⠈⠁⣄⢁⣀⠀⢢⣤⡀⡀⠁⢐⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⣦⣾⠿⠈⠀⠀⠀⠊⣀⣤⣴⣹⣯⣴⣼⣷⡀⠁⡀⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠶⠐⠀⢀⣰⣿⣿⣿⣧⣿⣾⣧⢤⣿⣿⣿⣇⣌⣹⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣶⣷⣷⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣷⡀⣟⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠛⣿⣿⣿⣿⣿⠿⣶⣿⣿⡻⢣⣤⣴⣷⢾⣹⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿ ⣿⣿⣿⣿⣿⣽⡏⠀⠛⠛⠉⢑⣻⢷⣿⢖⣾⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣛⣛⣿⣿⣿⣷⡀⠀⠀⠀⣀⣍⣃⢿⣭⣻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿ ⣶⣶⣾⣿⠟⠙⠀⠀⠀⠠⡝⡟⢻⣏⣉⣾⣿⠿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠋⠋⡀⠀⠀⠀⡽⠁⠀⠀⣀⣿⣾⠟⠋⠀⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡿⠄⠀⡶⠀⠀⠀⠁⠀⠀⣰⣿⠟⠁⠀⠀⠀⠀⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠙⠁⠀⠀⠀⠀⠀⠀⢀⡸⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⣿⣿⡆⢸⣿⠇⠀⠸⠃⠀⠀⠸⣿⢀⣿⠃⢠⣿⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⢀⣿⢹⡆⠀⠀⢸⣿⠀⠀⢸⡇⠀⠀⠀⠀⠀⢰⣿⠉⢿⡆⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢼⡇⣿⡇⣇⡜⠈⠁⠀⠀⠀⠀⠀⢀⠘⢸⣏⠀⢸⣿⠤⠀⠀⠀⣿⠀⣆⡄⢰⡆⠀⣾⠦⠄⠀⠀⢸⡇⢸⣇⠀⠀⢸⣿⠀⠀⠈⠁⠀⠀⠀⢀⡀⢸⣿⠤⣛⠁⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠿⡇⣿⡇⠹⠃⠀⠀⢀⣠⠤⣿⡆⢰⣄⠀⠙⠀⢸⣿⠀⠀⠀⠀⢉⠀⠉⠁⠈⠁⠀⠁⠀⠀⠀⠀⣼⡷⢾⣿⠀⠀⢸⡿⠀⠀⠀⠀⠀⠀⠠⢾⡇⢸⣿⠀⣿⡇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠘⠛⠀⠙⠃⠈⠉⠀⠀⠀⠀⠉⠛⠃⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠉⠁⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠁⠈⠉⠀⠙⠃⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⠀⢀⠠⢂⡩⠔⡁⠁⠀⠈⠀⡄⢀⡀⠀⢂⣄⡀⠀⠀⢐⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⣥⣶⠏⠀⠀⠀⠀⢚⣄⣄⣴⣹⣏⣴⣤⣷⠜⠁⣀⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⡷⠶⠐⠀⢀⣠⣿⣟⣿⣮⣷⣾⣃⢤⣿⣿⣿⣧⣵⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⣿⣦⣶⣷⣾⣿⣿⣿⣿⣿⣿⣿⣶⣿⣧⣳⣻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢿⠛⣿⣿⣿⣿⣿⡶⣶⣿⣿⢿⠃⣆⣴⣾⣯⣽⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣾⡿⠿⠛⠏⠓⠆⢐⢿⢿⣿⣷⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿ ⠛⠛⣿⣿⣿⢷⢀⠀⠀⠈⣅⣥⠟⡷⣽⣹⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣤⣤⣾⣿⠛⠛⠂⠆⠀⡈⣿⡷⣺⣇⢉⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡿⠟⠋⠀⠐⠀⠀⡸⠇⠀⠐⣀⣶⣾⠟⠋⠀⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿ ⣿⡇⠄⠰⡤⠁⠀⠀⠀⠀⢠⣮⣾⠟⠁⠀⠀⠀⠀⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⣏⠀⠁⠀⠀⠀⠀⠠⢠⣼⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣿⣿⣿⣿⣿⣯⣿⣷⣿⣿⣿⣿⣿⣿⣿ ⠉⠁⠀⠀⠀⠀⠀⠀⠀⡼⠿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠁⠁⠀⠀⠀⠀⠀⠀⢠⡇⣿⣿⡆⢸⣿⡇⠀⠸⠃⠀⠀⠸⣿⢀⣿⠁⢠⣿⠛⠃⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⣿⢹⡆⠀⠀⢸⣿⠀⠀⢸⡇⠀⠀⠀⠀⠀⢰⣿⠉⢿⡆⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⣿⡇⣇⡜⠈⠀⠀⠀⠀⠀⠀⢀⠝⢸⣏⠀⢸⣿⠤⠀⠀⠀⣿⠀⡆⡄⢰⡆⠀⣾⠦⠄⠀⠀⢸⡇⢸⣇⠀⠀⢸⣿⠀⠀⠘⠁⠀⠀⠀⢀⡀⢸⣿⠤⣛⡁⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⡇⣿⡇⠹⠃⠀⠀⢀⣤⠤⣶⡆⢸⣕⠀⠙⠀⢸⣿⠀⠀⠀⠀⠙⠀⠉⠁⠈⠁⠀⠀⠀⠀⠀⠀⣼⡷⢾⣿⠀⠀⢸⡿⠀⠀⠀⠀⠀⠀⠠⢾⡇⢸⣿⠀⣾⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠘⠛⠀⠙⠃⠈⠉⠀⠀⠀⠀⠉⠙⠃⠀⠀⠉⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠉⠁⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠁⠈⠉⠀⠙⠃⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣴⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣴⣶⣾⡿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣯⣿⣷⣧⣄⣀⡠⠄⠀⢀⢀⣀⣀⠰⠶⠛⠀⠰⠀⢀⣈⢨⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠄⢀⠀⣀⠄⣾⣿⣿⡿⠟⠛⠉⠁⠀⠀⠀⠀⠙⠛⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣾⣿⣞⣦⣶⣾⣾⣿⣿⡿⣷⣾⣿⣯⣌⣕⡿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⢀⡠⠄⠀⢀⡲⠀⠈⢨⠀⠍⣊⣿⣿⣧⠾⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣭⣿⣿⣿⡟⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⠿⢛⣀⡀⠀⢀⠀⠀⠀⠀⠐⠀⢀⠀⠀⣠⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠷⣦⣄⣀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣛⣛ ⠀⠀⠀⠀⠀⠀⠀⠔⠊⠀⠒⢨⣀⠀⠠⠀⠀⠀⠀⠀⠀⡗⠘⣰⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣷⣄⠀⠀⠀⠀⠘⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹ ⠀⠀⠀⠀⠐⡈⢐⡄⡠⠂⠛⡡⠀⠀⢂⡀⠀⠀⠀⠂⠀⢱⣾⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣦⡀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿ ⠀⢀⡠⠐⣯⠔⡃⠁⠀⠀⠁⡄⢀⠀⠀⢂⣀⡀⠀⠀⢀⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣇⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿ ⢂⣤⡶⠃⠀⠀⠀⠀⢞⡂⣄⣔⢹⣏⣼⣬⡷⠄⡀⢔⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡆⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠷⠶⠂⠀⢀⣠⣾⣗⣿⣄⣳⣶⣣⢤⣿⣿⣿⡧⣢⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣼⣿⣶⣶⣷⣾⣿⣿⣿⣿⣿⣿⣿⣶⣿⣧⣴⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣹⣿⣿ ⡿⠛⡿⣿⣿⣿⣿⠷⣶⣾⣿⡿⢃⣆⣴⣚⣻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣻⣿⣿ ⣿⣷⣿⣿⣿⣿⠗⠋⠛⠕⠀⢰⣿⠇⢶⠇⣾⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣾⣿⣿ ⠛⠻⣿⣿⣿⡷⠀⠀⠀⠁⢁⣁⠋⣝⣟⣹⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿ ⣴⣶⣶⣿⠛⡭⠁⡂⠠⠐⡜⠹⣫⣇⢉⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿ ⣿⡟⠩⠃⠀⠀⠀⠀⡸⠅⠀⠀⢀⣤⣾⠟⠋⠀⢻⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡏⠦⠰⠖⠁⠀⠀⠀⠀⠀⣶⣾⠟⠁⠀⠀⠀⠀⠻⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢏⠀⠈⠀⠀⠀⠀⠀⢠⣼⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣷⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿ ⠉⡁⠀⠀⠀⠀⠀⠀⠀⡸⠿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⣿⣿⡆⢸⣿⡇⠀⠸⠃⠀⠀⢸⣿⢀⣿⠃⢰⣿⠛⠃⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⢀⣿⢹⡆⠀⠀⢸⣿⠀⠀⢸⡇⠀⠀⠀⠀⠀⢸⣿⠉⢿⡆⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⣿⡇⣇⡜⠘⠀⠀⠀⠀⠀⠀⢀⠛⢸⣏⠀⢸⣿⠤⠀⠀⠀⣿⠀⣆⡄⢠⡄⠀⣾⠦⠄⠀⠀⢸⡇⢸⣇⠀⠀⢸⣿⠀⠀⠈⠀⠀⠀⠀⢀⡀⢸⣿⠤⣛⡁⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⣿⡇⠹⠃⠀⠀⢀⣠⠤⣿⡆⢸⣗⠀⠙⠀⢸⣿⠀⠀⠀⠀⠛⠀⠉⠁⠀⠁⠀⠀⠀⠀⠀⠀⣼⡷⢾⣿⠀⠀⠸⠿⠀⠀⠀⠀⠀⠀⠠⢾⡇⢸⣿⠀⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠘⠛⠀⠙⠃⠈⠉⠀⠀⠀⠈⠉⠛⠃⠀⠀⠉⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠉⠁⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠁⠈⠉⠀⠛⠃⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 2149 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at http://techrights.org/2022/12/22/sirius-minuscule-salaries/#comments Gemini version at gemini://gemini.techrights.org/2022/12/22/sirius-minuscule-salaries/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 12.22.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ [Meme]_Milking_Technical_People_at_Sirius_‘Open_Source’_for_Minuscule Salaries⠀✐ Posted in Deception, Finance at 12:30 am by Dr. Roy Schestowitz 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Andrew Bucknor, Chief Executive Officer, Sirius UK, milking staff: Don't mind me milking geeks⦈ Summary: Sirius_‘Open_Source’ has become an exceptionally exploitative company that wrongly assumes people working overnight doing highly technical work can be paid like cooks in daytime ⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠃⠀⠀⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠿⠿⠿⠿⠿⠃⠀⠀⠀⠀⠘⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⣻⣿⣿⡧⠘⢿⣿⡿⠿⠛⠀⠀⠸⣿⣿⣿⡿⣿⣿⡟⣟⣝⢿⢿⣷⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣤⣤⡤⠤⠀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣿⣿⣿⣶⣦⡈⠉⠛⠃⠀⠀⠉⠁⠀⠀⠀⠀⢠⣼⣿⣿⣿⣿⣿⣧⣯⣿⣸⣾⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠙⠛⠛⣡⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢿⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⡟⠻⡟⠻⢻⠛⡛⣻⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠈⢻⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣇⣀⣀⣸⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠈⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠻⠿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠉⠙⠉⠉⣿⠙⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⠛⠛⠛⠛⠛⠛⠛⠋⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣤⣦⣤⣴⣤⣤⣿⣤⣤⣬⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠈⠙⠃⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠙⠀⣿⣾⣿⣿⣿⣿⣿⠒⠢⣴ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⢀⠀⡇⠀⡇⢰⢸⠀⠀⡂⡏⠀⡇⡂⢰⠈⠤⡂⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⢀⣤⣤⠀⠀⡀⣠⣤⣴⣶⣟⣻⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣾⣶⣷⣶⣶⣶⣾⣶⣶⣶⣿⣶⣷⣶⣶⣾⣶⣶⡿⠋⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠀⢠⣿⣿⠃⡇⢠⣧⣿⡗⠲⢤⣠⣤⣀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⡐⠁⠀⠀⢀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣂⣾⣾⣟⢰⣧⣸⣿⣿⣷⠀⠀⠈⠛⠿⡏⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣭⣭⣥⣤⣴⣶⣦⠙⠻⢿⣧⠀⠀⠀⠈⠿⠀⠀⠐⠢⠴⢌⡙⠷⠀⠀⠘⠻⣿⠟⠛⣉⡉⠀⠘⠻⣇⣹⣿⣿⣧⣀⡀⠀⠀⠀⠐ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⠿⢿⢻⡙⣇⢳⠠⢀⣦⠈⠃⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠈⠀⠀⠼⠖⣒⣛⡛⠒⠀⢢⠀⣀⠀⢘⣟⣿⣿⣯⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠩⠽⡌⣇⢻⣆⣷⣴⣾⣿⣿⣿⣤⠀⠀⠀⠀⠀⠀⠀⠉⠂⠐⠂⠒⠃⠀⣼⣿⣿⣿⡇⠀⠀⣼⠴⣿⣶⡆⢬⣿⣿⡿⠀⠀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⣽⣿⡄⠀⠀⠀⠀⣰⡇⠀⠀⢀⣴⣿⣿⣩⣥⢓⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠐⣾⣿⣿⣿⣿⡇⠀⠀⡏⢁⣇⣿⣿⣾⣿⣿⣿⣶⣤⣄⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣧⠀⠀⠀⠀⢸⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣶⣦⠀⢉⣿⣿⣿⣿⣿⣧⡀⠀⠀⢀⣤⡀⠀⠀⢀⣀⣤⣷⣼⣿⣿⣿⣛⣛⠛⠓⠁⠁⢘⡿⠉⢿⣿⣿⣿⡇⡉⠻⣿⡃⠀⢨ ⡠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⢰⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣻⣰⣀⢐⠹⢿⡿⠿⠿⢇⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣽⣿⣶⣶⠀⠀⢰⠀⣸⣿⠀⣦⢻⢯⡿⠁⠁⠂⠈⠑⠀⣸ ⣥⠤⠠⢰⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⣸⣿⣿⣿⣏⣼⣿⣿⣿⣿⣿⡿⣻⣿⣿⣉⠙⠃⠒⠚⢢⣶⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠒⠒⠚⠶⢿⣷⣶⣿⣿⣮⡀⠀⠀⠀⠀⠀⠀⠈ ⠻⠌⢯⢼⣯⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣧⢀⣾⣿⣿⣿⡿⠿⣿⣿⡿⠿⠿⢿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠈⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠂⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣷⣄⣀⡀⠀⠀⠀ ⠃⠀⠀⠄⠇⠈⠀⠀⠀⠀⠀⠀⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⣀⣣⣤⣧⡄⠀⠀⠓⠖⠶⢶⠂⠀⠀⢠⢴⡄⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⢀⡀⣄⣀⣀⣀⣿⣹⣿⣿⣿⣿⠅⠀⠀⢠ ⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠳⣮⠃⠀⠀⠈⠻⣄⡀⠀⠀⢀⢴⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣦⣿⣦⣤⠴⠏⡙⠉⣍⠛⠍⢹⡟⠀⠀⠀⢹ ⠀⠀⠀⠀⠀⠀⠀⡀⡐⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡟⠁⣿⣿⣿⣿⣿⡿⠷⣄⣶⣶⣦⣤⣀⠀⠀⠀⠈⠚⠛⠛⠀⠀⠀⠘⠳⣄⢢⡍⠻⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⢷⡌⠄⠀⠉⠀⠀⠀⠀⣸ ⢀⠀⠀⠀⠀⢈⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣇⣐⡏⠁⡀⣈⣈⢦⣯⣾⣿⣿⣿⣿⣿⣿⣷⣦⠄⣀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡎⢦⢨⠪⠂⠋⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣖⣄⢀⠀⢀⠠⠀⠀ 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Sirius_a_One-Way_Relationship_(or_a_Three-Way_Relationship_at_the_Top)⠀✐ Posted in Free/Libre_Software at 9:10 am by Dr. Roy Schestowitz Does Sirius (still) give anything back to those whose work it is exploiting? Or does it give a shell about Free software communities? 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Debian,_give_me_lots_of_****_free_work⦈_ Summary: Sirius_‘Open_Source’ is in so much technical, legal, and financial trouble that now it is chasing those who criticise the company, even without naming the company or anyone inside the company; this means that on top of being a ‘parasite’ (preying on Free software with false labeling) the company has become a true enemy of freedom of speech, guarding misbehaving people from their critics THE company I left is in a state of disarray. The management in question was largely exploiting and seeking to start profiting from (aka ‘monetising’) Free- as-in-freedom software without contributing anything back. In recent years it wasn’t even adopting Free software and instead abandoning it in favour of proprietary spyware. There was no debate about it. It’s a one-way relationship. “In recent years it wasn’t even adopting Free software and instead abandoning it in favour of proprietary spyware.”Similarly, there was a one-way relationship with staff. People were expected to stay up all night, actually working, while some management in daytime failed to do very basic work, very fundamental tasks. High-tech labour with low-end wages may seem sustainable, but as inflation soars it becomes a stretch. Then, the company as a whole becomes untenable. This past year I started talking privately about the situation with a friend; names of people and names of companies weren’t included (not even Sirius!), but the company was eager to crush staff, silence staff, and dodge liabilities to staff. Below we include the second part of an extensive section, which will later be supported by hard evidence. “We certainly would have sued Sirius if it wasn’t so broke and operating through shells, at least one of which registered outside the country.”Sirius urgently needs to rename. It is not doing “Open Source”; instead it rips apart the infrastructure that was Open Source, replacing it with proprietary spyware (for a number of years already; this year the trend accelerated further). “Sirius Open Wash” would be a suitable new name for the company, but maybe it’s too late because the company has no future anyway. The bullying intensified months ago. Managers basically start with the supposition that all workers are guilty of something and then try to dig for “evidence” to justify the foregone conclusion, making up or exaggerating things while resorting to distortion various rules and regulations (gymnastics in logic), reaching out to things said as far back as 4 years ago (when staff had been subjected to bullying from management). We certainly would have sued Sirius if it wasn’t so broke and operating through shells, at least one of which registered outside the country. Text from the report included below: =============================================================================== Roy does not talk about the company where he works, at least not by name. He does not mention people and clients of the company. If Roy discusses that with a friend in some chat outside of work, that’s perfectly within his rights. If the company does something wrong and Roy then discusses it with somebody, that might even be a positive contribution. Nobody should be above criticism. If Roy discusses romantic relationship between colleagues without even naming them, that’s perfectly lawful (there’s no need to twist a romantic relationship as “living arrangement”, covering up for how inadequate that is). As the main issue discussed isn’t the nature of the relationship but the nepotism and abject lack of relevant qualification/s, this is a matter of broader or professional interest. It’s not mere gossip and either way, nobody is named. To be very clear, informal IRC chat with one person is not “social media”; pretending that it is would be considered fact-twisting. IRC has been around since the 1980s, Roy has its own IRC network, and there are no companies or “data broker” chewing up this data. The data is maintained in a privacy- conscious manner on a server managed independently. To some people, very fundamental facts about communication tools leads to evasion of proper understanding, either deliberately or accidentally. The accusations against Roy mostly latch onto cherry-picking of words, all that while ignoring the underlying substance, which is expressed relatively politely (no expletives, but lots of typos because it’s very informal chat). There seems to be a lot of tit-for-tat over the ‘teat’ (to be clear, the company’s high- paid managers were milking Roy for years; Roy’s salary would have increased with inflation by about 40% in 12 years, but that didn’t happen). So_who's_milking_who? █ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⢿⣿⠿⡿⢿⠿⣿⡟⢿⣿⠛⣿⠟⢉⣉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠰⠦⣼⣿⠀⣿⠀⣴⣾⡄⢸⡇⢸⣿⠀⢹⣦⣌⣉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⣿⡟⠲⠶⠀⣿⠀⣿⡀⣻⣿⣇⣸⣧⣈⣉⣄⣼⣧⣬⣥⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠍⡉⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⣤⣀⠀⢀⡀⠀⠀⠀⢀⡌⡼⢠⣶⣶⣦⣄⡀⠀⠀⢰⣿⣿⣿⣿⣿⣯⣴⣦⠀⠉⠿⠇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢁⠠⠌⢘⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠈⠟⢿⠀⠻⠇⠀⠀⠀⠘⠃⠀⢺⣿⣿⣿⣿⣷⣦⣠⣿⣿⣿⣿⣿⣿⣿⡍⠉⢀⣿⣇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢬⠨⠰⢒⢐⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣧⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢄⢀⠂⢲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠬⣔⣢⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⠀⠈⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⣭⣍⡉⠂⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣤⣤⣥⣈⣉⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡋⠛⢿⣿⣿⣿⣿⣿⣿⣏⠉⠁⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡻⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⢛⣏⣹⣿⡿⣿⣿⣿⣿⣿⣿⠛⢻⣿⣿⡟⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠉⠉⠈⠙⠻⢿⣿⣿⣿⣿⣿⡛⠉⠘⠀⠈⠉⠉⠁⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣏⣀⣻⣿⣁⣀⣀⣀⠀⠀⠀⠁⠀⣸⣰⣿⣧⣀⣀⣀⣀⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡍⠀⠠⣶⣶⣄⡀⠀⠀⠚⠂⠀⠀⠀⠀⠀⠀⠈⢹⡻⠿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠉⠁⠀⠀⠈⠉⠩⠭⠭⠽⠿⠿⢷⣯⠉⠉⠹⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿ ⠀⠀⠀⠀⠀⠈⠻⢿⣿⠾⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠰⠌⠋⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠿⢿⡿⠿⡿⠿⣿⣿⡿⢿⠿⠋⠑⠒⠒⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠿⠿⠿⠿⠿⠃⠿⠿⣿ ⠀⢀⡶⣶⢰⡶⢲⣖⡶⣴⢂⣶⡆⣶⣰⡆⠀⣰⣾⡆⣶⢲⣦⡶⣶⠖⠀⣶⣦⣶⢰⡶⠂⣰⡆⣴⢺⡆⣶⠶⣶⠳⠎⢱⣞⡶⣴⠶⠀⠶⠰⠆⠖⠶⠂⣰⡶⣶⣶⣆⣶⠖⣶⠖⢰⣖⣶⢶⣶⡶⣷⢰⣶⡦⣶⣶⠆⠘ ⠀⣸⣷⡟⣿⡋⣿⣹⣧⡿⣾⣽⣷⣿⣿⡀⠀⣿⣿⢷⡟⣼⣿⢳⣟⡁⢸⣿⣿⡏⣿⡋⢀⣿⣠⣟⣿⢁⣿⢠⣝⣿⠀⣿⣹⢧⡿⢣⣾⣿⣿⣿⣷⣿⢀⣿⢋⡿⣿⢸⣟⢹⣟⠁⢸⣿⣿⡿⣸⣷⡟⣿⣹⢷⡿⣿⠀⠀ ⠀⠉⠉⠈⠉⠁⠉⠉⠈⠉⠡⣭⣍⣉⠁⠁⠀⠉⠉⠈⠁⠉⠁⠈⠉⠀⠉⠈⠈⠉⠉⠁⠈⠉⠁⠉⠁⠈⠁⠈⠉⠡⣦⣭⣩⣬⡥⣾⣿⣿⣿⣿⣿⣿⣬⣥⣬⣥⣭⣍⣉⠉⠉⠀⠈⠁⠉⠁⠈⠉⠈⠉⠉⠈⠁⠉⠀⢀ ䷩ 𝚕𝚒𝚗𝚎 2345 ╒═══════════════════ 𝐃𝐀𝐈𝐋𝐘 𝐋𝐈𝐍𝐊𝐒 ═════════════════════════════════════════════╕ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 12.22.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ Links_22/12/2022:_Second_Prototype_of_Adaptable_Linux_Platform⠀✐ Posted in News_Roundup at 12:47 pm by Dr. Roy Schestowitz 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈ § Contents⠀➾ * GNU/Linux o Audiocasts/Shows o Kernel_Space o Applications o Instructionals/Technical * Distributions_and_Operating_Systems o SUSE/OpenSUSE o Fedora_Family_/_IBM o Devices/Embedded o Mobile_Systems/Mobile_Applications * Free,_Libre,_and_Open_Source_Software o Programming/Development * Leftovers o Security o Environment # Energy o Monopolies # Copyrights * Gemini*_and_Gopher o Personal o Technical * § GNU/Linux⠀➾ o ⚓ Flipkart_Sale:_Unbelievable_deal!_Buy_32_inches_Linux_smart_TV with_a_plethora_of_pre-installed_OTT_apps_for_just_Rs_999,_we_tell you_how⠀⇛ o ⚓ Linux Links ☛ LinuxLinks:_Our_most-read_stories_of_2022⠀⇛ We’ve trawled through our statistics and discovered our ten most well received posts/series that saw the highest page views this year. Only stories published this year are included. o § Audiocasts/Shows⠀➾ # ⚓ WordPress ☛ Episode_45:_State_of_the_Word_Reflections_– WordPress_News⠀⇛ In the forty-fifth episode of the WordPress Briefing, WordPress Executive Director Josepha Haden Chomphosy discusses highlights from this year’s State of the Word address. # ⚓ Video ☛ Ubuntu_New_OS_Installer_|_Quick_Review_– Invidious⠀⇛ What’s up, Linux Community!!! In this video, I check out the newly created operating system installer for Ubuntu Desktop. Based on reports this new installer will be included in the upcoming Ubuntu 23.04 release, dubbed name “Lunar Lobster”. The new installer is written in flutter programming language created by Google. o § Kernel Space⠀➾ # ⚓ Linux ☛ Sending_a_kernel_patch_with_b4_(part_1)_— Konstantin_Ryabitsev⠀⇛ These features are still considered experimental, but they should be stable for most work and I’d be happy to receive further feedback from occasional contributors. In this article, we’ll go through the process of submitting an actual typo fix patch to the upstream kernel. # ⚓ LWN ☛ Ryabitsev:_Sending_a_kernel_patch_with_b4_(part_1)_ [LWN.net]⠀⇛ Konstantin Ryabitsev has put up a blog entry showing how to use b4 to submit kernel patches without (directly) using email. o § Applications⠀➾ # ⚓ Ubuntu Handbook ☛ Darktable_4.2_Released!_How_to_Install_in Ubuntu_22.04_via_PPA_|_UbuntuHandbook⠀⇛ Darkable, the popular free open-source photography app and raw developer, released new 4.2.0 release a day ago. # ⚓ Medevel ☛ pREST_is_a_Libre_Low-Code_API_Engine⠀⇛ pREST is a free open-source low-code platform that allows you to create a RESTful web apps without the usual setup and configuration complexity. # ⚓ Medevel ☛ Fertility_Test_Analyzer_App:_Ovulation_– Pregnancy_That_Respect_your_Privacy⠀⇛ Fertility Test Analyzer is an open-source Android app that does not share any of your data with any third-party or depends on any external library. You can use it for free, as it also does not contain any trackers, or privacy invasion scripts. [...] The app is released under the Apache License (2.0) # ⚓ Medevel ☛ View_CCTV_Streams_with_this_Open_Source_App:_CCTV Viewer⠀⇛ It supports multiple layouts, stream bookmarks, and user-friendly interface. The app is available to download as a Linux Snap package from Snapcraft.io. # ⚓ Medevel ☛ Symphytum:_Create_Databases_for_Your Collections⠀⇛ Symphytum is a free open-source database and collection manager app that allows you to create and manage your data collections. # ⚓ Medevel ☛ PyCaret:_Low-code_Machine_Learning_Library_for Python⠀⇛ PyCaret is an open-source, low-code machine learning library in Python that automates machine learning workflows. It is an end-to-end machine learning and model management tool that speeds up the experiment cycle exponentially and makes you more productive. # ⚓ Medevel ☛ Totum_is_An_Astonishing_Open_Source_Low-code Airtable_Alternative⠀⇛ Totum is an open-source no-code database interface that allows users to create complex data oriented and spreadsheet based applications with a complex interface without having to dig into the backend code. # ⚓ Medevel ☛ AnonAddy:_Protect_Your_Email_and_Aliases_from Spammers⠀⇛ AnonAddy is short for “Anonymous Email Address”, it is a self-hosted email server that allows you to create unlimited aliases and protect yourself from spammers. # ⚓ Medevel ☛ Journable:_A_Bullet_Journal_App_for_Gnome Desktop⠀⇛ Journable is a lightweight native bullet journal Gnome app for managing your tasks and plans in a fast and productive manner. # ⚓ Medevel ☛ 8_Open_source_School_and_College_ERP_Systems⠀⇛ A school ERP system is an enterprise resource planning (ERP) system that built to manage the school resources that include the teacher-student workflow. # ⚓ Medevel ☛ 12_Open_Source_Computer_Aided_Translation_(CAT) Programs⠀⇛ Translation programs are essential for student especially who learn other languages. It is also required for people who travel or migrate to another country while they are adapting or learning the country’s language. # ⚓ Medevel ☛ Anubias_A_RAD_IDE_with_Hanging_Progress⠀⇛ Anubias is an open-source RAD (Rapid Application Development) IDE for building mobile and desktop apps. It uses Electron, and Flutter to aid developers build apps for all screens. # ⚓ Medevel ☛ vCard_Studio:_Effectively_Manage_Your_vCard files⠀⇛ vCard Studio is an amazing lightweight cross- platform desktop app that helps you manage your vCard file collections. It is written using Free Pascal and “Lazarus IDE”, and can be installed on Windows, and Linux. # ⚓ Medevel ☛ 12_Open-source_Free_3D_Voxel_Editors⠀⇛ Goxel is my favorite app in this list, not just because it works on Windows, Linux, and macOS, but it also because it is easy to use even for my 5 years old son. That’s why we recommend it in our collection of design apps for kids. # ⚓ Medevel ☛ Zettlr_Is_a_Markdown_Editor_for_Serious_Users⠀⇛ Zettlr is a free open-source Markdown editor for professional writers, developers, researchers, journalists, bloggers and content creators. It allows you to write your files in a Markdown format and make a use of the YAML header metadata that is widely used by many ope-source blogging platforms. # ⚓ Medevel ☛ 11_More_Free_Open-source_Text-To-Speech_Apps⠀⇛ Text-to-speech is a technology that allows you to convert and read written text into a digital text aloud which you save in an audio format file. Many also call it “Read aloud”. TTS apps are handy tools in converting text or text files into a speech in a sound format, especially for students, content creators, and daily users. # ⚓ Medevel ☛ DICOM_Image_Reader:_A_Lightweight_DICOM_Viewer for_DCM_files⠀⇛ Dicom Image Reader is an open source medical image viewer built with JavaScript, HTML5, NodeJS, and Electron framework. It can load data in DICOM format (single image DCM) and provides standard tools for its manipulation such as contrast, zoom, drag, possibility to draw regions on top of the image and imaging filters such as threshold and sharpening. It is based DWV JavaScript open source library. o § Instructionals/Technical⠀➾ # ⚓ Four_Great_Uses_of_the_Secure_Copy_Command_–_buildVirtual⠀⇛ scp stands for Secure Copy. It is a command-line utility for securely transferring files between computers using the Secure Shell (SSH) protocol. scp is similar to the cp command, which is used to copy files and directories within a single system, but scp can be used to transfer files between systems over a network. The scp command was designed to be a secure alternative to the rcp command, which was used in the early days of the internet to transfer files between computers. The rcp command had several security vulnerabilities, including the ability to execute arbitrary commands on the remote system, which made it prone to abuse. The scp command was developed to address these issues and provide a more secure method for transferring files. Today, scp is widely used by system administrators, developers, and IT professionals for tasks such as deploying code, managing servers, and backing up data. It is a powerful and essential tool for anyone working with computers and networks. # ⚓ LinuxConfig ☛ How_to_extend_the_Thunar_file_manager_with custom_actions⠀⇛ Thunar is the file manager included in Xfce, a free and open source Desktop Environment which implements the traditional desktop metaphor, and has become the favorite of many users which switched to it when the GNOME project introduced the GNOME shell. Thunar is light on resources but doesn’t lack functionalities which can be extended further by creating custom actions. In this tutorial we learn how to extend the Thunar file manager by creating custom actions. # ⚓ Video ☛ How_to_install_BunsenLabs_Linux_Beryllium_– Invidious⠀⇛ In this video, I am going to show how to install BunsenLabs Linux Beryllium. # ⚓ ID Root ☛ How_To_Install_Fail2ban_on_Rocky_Linux_9_– idroot⠀⇛ In this tutorial, we will show you how to install Fail2ban on Rocky Linux 9. For those of you who didn’t know, Fail2ban is software to prevent brute- force attacks. This software, written in Python, enables it to run on POSIX Fail2ban systems that have a locally installed user interface or firewall. This service will help prevent unwanted logins by banning nefarious IP addresses from gaining access to your server. This article assumes you have at least basic knowledge of Linux, know how to use the shell, and most importantly, you host your site on your own VPS. The installation is quite simple and assumes you are running in the root account, if not you may need to add ‘sudo‘ to the commands to get root privileges. I will show you the step-by-step installation of the Fail2ban on Rocky Linux. 9. # ⚓ ELinux ☛ what_is_Disk_partioning_and_commands_to_do_disk partioning_in_linux_|_Linux_Webhosting_blog⠀⇛ Disk partitioning is the process of dividing a hard drive or other storage device into smaller, logical units called partitions. Each partition is treated as a separate storage device, and you can use it to store different types of data or to install different operating systems. # ⚓ Make Use Of ☛ How_to_Dockerize_a_Django_App⠀⇛ Docker is one of the most popular container platforms, letting you manage containerized applications. Docker provides architecture and capabilities for container automation, security, customization, and enterprise support. Docker has three important components: the Docker client (a command-line tool), Docker Host, and Docker Registry. These three components work together to enable you to build, run, and store applications. Find out how to use this amazing tool by containerizing a sample Django app. First, learn to install Docker on Ubuntu, macOS, and Windows. # ⚓ Bryan Lunduke ☛ Animated_ASCII_Christmas_Tree_and_Hanukkah Menorah_in_your_Shell⠀⇛ I’m a big fan of ASCII and ANSI style art — dating back to the BBS days of the 1980s and 90s. So it’s no surprise that I enjoy sprucing up my Linux terminal with ASCII animations from time to time. Well, it just so happens that this week is Hanukkah. And, when I went looking for Hanukkah themed ASCII animations for Linux (or other platforms)… I came up completely empty handed. # ⚓ HowTo Forge ☛ How_to_Upgrade_Ubuntu_20.04_to_Ubuntu_22.04⠀⇛ Ubuntu 22.04, codename Jammy Jellyfish, was released on the 21st of April 2022. # ⚓ Red Hat Official ☛ 2022’s_top_10_monitoring_tutorials_for sysadmins_|_Enable_Sysadmin⠀⇛ Knowing what’s happening on your systems is the first step in preventing and troubleshooting issues. # ⚓ TecAdmin ☛ How_to_Add_and_Delete_Users_in_Ubuntu_22.04_– TecAdmin⠀⇛ Ubuntu is a popular open-source operating system based on the Linux kernel. It is widely used on personal computers, servers, and in cloud computing environments. One of the key tasks in managing a Ubuntu system is managing users and groups. In this article, we will explain how to add and delete users in Ubuntu 22.04. # ⚓ TecAdmin ☛ How_to_Open_Port_for_a_Specific_Network_in FirewallD_–_TecAdmin⠀⇛ In FirewallD, the `–source` option allows you to specify a network or an IP address as the source for applying the rules. It is used to specify the network or IP address that is allowed to access the port or service that is being opened. The `–add- source` option is used to specify multiple networks or IP addresses as the source for the rules being applied. It is used in conjunction with the `–permanent` option to add multiple sources to a rule already configured in the firewall. * § Distributions and Operating Systems⠀➾ o ⚓ Top_5_Linux_Distributions_For_Virtual_Machines⠀⇛ These days, virtual machines are increasingly common. It’s really useful to launch a different operating system for specific tasks. o § SUSE/OpenSUSE⠀➾ # ⚓ OpenSUSE ☛ Second_Prototype_Advances_ALP_–_openSUSE_News⠀⇛ Geekos are rolling out a new Operating System and the second prototype of the next generation OS is quickly advancing. The first Adaptable Linux Platform (ALP) prototype Les Droites has been supplanted by a new ALP prototype Punta Baretti. Implementations with the new prototype include more flexibility, security and stability. The mountainous prototype has the big addition of Full Disk Encryption. ALP extended this Full Disk Encryption to bare metal servers and the use of a Trusted Platform Module will open the doors to leverage unattended booting while keeping systems encrypted and secured. ALP is intended to run on both private and public clouds that require encryption features. The systems need no user interaction on boot nor while ensuring security for workloads. Grub2 will be the bootloader instead of another and it will have a single encrypted volume considering initramfs is already encrypted. There were some compatibility issues addressed with the new prototype; SELinux is now set to fully enforce access control and firewalld defaults to netfilter deny; these two packages were previously more open for compatibility and testing purposes. # ⚓ LWN ☛ Second_Prototype_Advances_ALP_(openSUSE_News)_ [LWN.net]⠀⇛ The openSUSE News site covers some highlights from the second prototype release of the upcoming SUSE “ALP” distribution. # ⚓ OpenSUSE ☛ Explaining_difference_between_download.o.o_and mirrorcache.o.o_–_openSUSE_News⠀⇛ Historically mirrorcache.opensuse.org was set up to evaluate new backend engine, and gradually the new engine became the only used by download.opensuse.org as well. The main task of both services is to redirect requests to artifacts produced by OBS (Open build Service) to community mirrors using GeoIP information. The both services use the same database and the same backend engine, so behavior should be more or less identical. In the best case mirrorcache.o.o could be deprecated or be just an alias, but download.o.o has complex legacy setup and also runs other heavy services, which may affect user experience in some cases. # ⚓ OpenSUSE ☛ Download_Redirector_State_–_December_2022_– openSUSE_News⠀⇛ The post describes changes that went live for download.opensuse.org on 22-Dec. No critical changes in functionality are expected, so most of the users can ignore the details below. The functionality was already available on mirrorcache.opensuse.org for weeks, excluding some final visual polishing. # ⚓ Why_Do_SUSE’s_Intentions_To_Expand_Globally_Favor_India Over_Other_Countries?⠀⇛ Why do SUSE’s intentions to expand globally favour India over other countries? A worldwide corporation called SUSE provides open- source products for businesses that are built on the Linux operating system. Although the company’s current headquarters are in Luxembourg, its original location was Germany, and it has offices all over the world. Red Hat and SUSE are similar. It puts together the Linux kernel and other open-source parts to create a reliable, feature-rich Linux operating system (OS) that is for sale. o § Fedora Family / IBM⠀➾ # ⚓ Packit_Team:_Running_tests_with_builds_from_another_PR⠀⇛ Do you contribute to projects which depend on each other? Would you like to test changes spanning multiple repositories together before merging them to the main branch? # ⚓ My_Threat_Modeling_Book_Is_Available_In_12_Networks_And Supports_The_Fedora_Project._|_Bogomil_Shopov⠀⇛ I started distributing my little e-book to the world a few weeks ago. Now I am sharing that it’s available on at least 12 websites that you probably use, including Barnes and Noble, Google Play, Apple Books, and the Kindle store. [...] Before you move forward, remember that I plan to donate all the money I receive from it to a Fedora- related project or a group. Please share some ideas with me about where the money will go well. Currently, they are about $100. # ⚓ IBM Old Timer ☛ Irving_Wladawsky-Berger_(ex-IBM_chief):_The World_Ahead_2023:_Grappling_with_an_Unpredictable_World⠀⇛ A few weeks ago, The Economist published “The World Ahead 2023”, its 37th annual year-end issue that examines the trends and events that will likely shape the coming year. Two years ago, “The World in 2021” said that we should expect unusual uncertainty in the coming year, given the interactions between the still flourishing covid-19 pandemic, an uneven economic recovery and fractious geopolitics. Last year, “The World Ahead 2022” said that 2022 would be a year of adjusting to new realities in areas like work and travel being reshaped by the pandemic, and as deeper trends like the rise of China and accelerating climate change reasserted themselves. o § Devices/Embedded⠀➾ # ⚓ Geeky Gadgets ☛ Orange_Pi_5_mini_PC_hand_on_review⠀⇛ YouTuber ETA Prime has created a new video this week providing an exciting hands-on look at the Orange Pi 5. A Raspberry Pi alternative offering an affordable yet powerful ARM -based single board computer. The Orange Pi 5 features a Rockchip RK3588S 8-core 64-bit processor, quad-core A76 & quad-core A55, with 8nm process design, up to 2.4GHz main frequency supported by integrated ARM Mali-G610 graphics. Ports on the mini PC inlcude HDMI output, GPIO interface, M.2 PCIe2.0, Type-C, Gigabit LAN port, 2 x USB 2.0 and single USB 3.0 port to name a few. The SBC is capble of running a number of different operating systems including the Orange Pi OS(Droid), the official operating system developed by Orange Pi, together with Android 12 and Debian 11 if preferred. # ⚓ The DIY Life ☛ Awesome_Cyberpunk_Case_For_The_Raspberry_Pi 4_–_Pironman_by_Sunfounder_–_The_DIY_Life⠀⇛ Since I created the first version of my Raspberry Pi desktop case back in 2020, a number of manufacturers have made spinoffs of the design, with some less spun off than others. Some even asked me to review the case design that they unashamedly copied. # ⚓ Ars Technica ☛ Raspberry_Pi_5_not_arriving_in_2023_as company_hopes_for_a_“recovery_year”_|_Ars_Technica⠀⇛ # ⚓ CNX Software ☛ Meadow_F7v2_Feather_STM32F7_MCU_board supports_.NET,_C#_programming [Ed: What is this? A board that helps aggressors? Why is that self-limiting to Microsoft? What practical sense does this make?]⠀⇛ o § Mobile Systems/Mobile Applications⠀➾ # ⚓ Android Authority ☛ 15_best_Android_apps_released_in_2022_– Android_Authority⠀⇛ # ⚓ Android Police ☛ The_best_MagSafe_adapters_for_Android_in 2022⠀⇛ # ⚓ Android Authority ☛ Here_are_the_best_Android_wallpapers our_readers_created_in_2022⠀⇛ # ⚓ SamMobile ☛ There_could_finally_be_a_solid_Google_Maps alternative_on_Android_–_SamMobile⠀⇛ # ⚓ 9to5Google ☛ What_would_you_change_about_Android_13_Quick Settings?⠀⇛ # ⚓ Phone Arena ☛ Android_gets_its_savior!_Snapdragon_8_Gen_2_a giant_leap,_beats_iPhone_14_Pro_Max_in_gaming_performance_– PhoneArena⠀⇛ # ⚓ A_message_from_our_CEO⠀⇛ I’m reaching out to share some tough news with you. It’s something that’s been weighing on my mind, and – led by one of our core values – it’s important to be transparent about it. We recently discovered that two employees privately received commission payments from a third-party supplier and, with that have disadvantaged Fairphone. An external whistleblower tipped us off, and our thorough investigation confirmed the allegations. Needless to say, we have a clear zero-tolerance policy against any form of misconduct, deceit, or dishonesty. This guides our team and procurement policies; it’s implemented in contracts and guidelines, and it is deeply embedded in the culture of Fairphone’s day-to-day interactions. As you can imagine, this came as an incredible shock to all of us at Fairphone. Since day one, we’ve been all about creating a value chain based on care, fairness, trust, and transparency, so we’re definitely feeling let down right now. * § Free, Libre, and Open Source Software⠀➾ o ⚓ Medevel ☛ BlueSeer_ERP_Is_A_Open_Source_ERP_for_Manufacturers⠀⇛ BlueSeer ERP is a free open source multilingual ERP software package. [...] The project is released under the MIT License. o ⚓ TechRepublic ☛ What_is_Twake,_and_Why_Should_You_Consider_Using It?_|_TechRepublic⠀⇛ Collaboration is a must for companies trying to stay ahead of the curve or keep up with the competition. Without collaboration, things simply wouldn’t get done. That means you need the right tools for the job — and, wow, there are a lot of options. [...] At the moment, Twake is a bit limited in features, but what it does offer is quite a solid entry into the collaboration space. What you get with Twake is a platform for real-time communication and document collaboration. Twake allows you to create multiple companies, workspaces and channels for communication, and it has a built-in OnlyOffice document server so your team members can collaborate with documents and presentations. Twake has a UI that’s incredibly simple to use so you don’t have to worry about onboarding new team members. Once a new team member has logged in, they’ll feel right at home within the application. Team members can use Twake from within a web browser or download the desktop app for Linux, macOS and Windows. o ⚓ Medevel ☛ Metafresh_Is_An_Open-source_ERP⠀⇛ Metafresh is a cross-platform self-hosted ERP system for small, medium, and large size companies. It comes packed with many modules starting as reporting, accounting, sales and more. o § Programming/Development⠀➾ # ⚓ Qt ☛ Qt_6.5_Beta_Released⠀⇛ We have released Qt 6.5 Beta today. As earlier Qt 6.5 Beta is available via qt online installer. In addition to the online installer Qt 6.5 Beta source packages are available in the Qt Account Portal for commercial users and in the opensource download area for opensource users. This is the first beta and we will release more beta releases during the beta phase. * § Leftovers⠀➾ o ⚓ Bryan Lunduke ☛ AltaVista_Search_Engine_turns_27_years_old⠀⇛ The project was started within Digital Equipment Corporation — and provided the first “full text” searchable index of the World Wide Web that was accessible to the average Web user. Anyone who used Web search engines back in the mid 1990s knows what a huge improvement this was. As such, AltaVista spring-boarded to become the number one search engine almost overnight. o § Security⠀➾ # ⚓ Ars Technica ☛ Critical_Windows_code-execution vulnerability_went_undetected_until_now_|_Ars_Technica⠀⇛ Microsoft elevates security rating for vulnerability resembling EternalBlue. # ⚓ FSFE ☛ SFP#18:_IT-Security_from_a_cryptographer’s_point_of view_with_Cryptie⠀⇛ A cryptographer and privacy specialist Amandine Jambert, a.k.a. Cryptie, is our guest in the 18th Software Freedom Podcast episode. With her experience, Cryptie is the perfect person to tackle some basics about Security in Free Software. Cryptie has been involved with Free Software for around 20 years now and has been a volunteer for the FSFE for 10 years. Together Cryptie and Bonnie Mehring discuss the basics of cryptography and discover what a privacy specialist is. They then move on to the basics of IT-Security and talk about prejudices against the security of Free Software. If you have wondered what is needed to make Software more secure this is the perfect episode for you to start with this topic and learn about the basics of IT-Security. # ⚓ CPO Mag ☛ Running_in_Place:_Staying_Afloat_With_Language- Level_Vulnerability_Management_–_CPO_Magazine⠀⇛ The patch management process can be painful, tedious, and time and labor intensive. Often, all this effort is for no other purpose than to maintain the operational status quo. And for devs or sysadmins, patch management has to happen on top of handling every-day activities as well as any other additional challenges that occur during service interruptions or system reboots. # ⚓ New_DDoS_Botnet_Malware_Infecting_Windows,_Linux,_and_IoT Devices [Ed: Citing Microsoft as authority on security while it puts back doors in its very own products is ludicrous; this is Microsoft badmouthing "Linux" or concern-trolling for PR]⠀⇛ A cross-platform botnet, ‘MCCrash’ that starts out from malicious software downloads on Windows devices and spreads to a range of Linux-based devices was recently examined by the Microsoft Defender for IoT research team. # ⚓ Fedora Project ☛ Changes/XServerProhibitsByteSwappedClients –_Fedora_Project_Wiki⠀⇛ X server implementations (e.g. Xorg and Xwayland) will (by default) no longer allow clients with different endianess to connect. # ⚓ CISA ☛ CISA_Releases_Four_Industrial_Control_Systems Advisories_|_CISA⠀⇛ CISA released four Industrial Control Systems (ICS) advisories on December 22, 2022. These advisories provide timely information about current security issues, vulnerabilities, and exploits surrounding ICS. # ⚓ LWN ☛ Security_updates_for_Thursday_[LWN.net]⠀⇛ Security updates have been issued by Debian (libksba and linux-5.10), Slackware (mozilla), and SUSE (curl, java-1_8_0-ibm, and sqlite3). o § Environment⠀➾ # § Energy⠀➾ # ⚓ Barry Kauler ☛ Electric_vehicle_reality_check⠀⇛ I was reading recently, a guy said that owning an electric vehicle without a power- point to plug it into at night, is hell. This situation would cover a lot of people; those who live in apartments with parking bays and no power, and those who have to park in the street. [...] Once at the head of the queue, if it is a fast-charger, good, except that every time you fast-charge, the battery range decreases. It decreases more and more, so you have to fast-charge more frequently. Then there’s the running cost. This is touted as one of the advantages of electric vehicles; however, read this article from our local newspaper, “The West Australian”, Saturday, December 17, 2022: [...] I reckon that as 2030-2040 (whatever the deadline will be in your State) approaches, there will be exceptions to the all-electric law, for those who have to drive in remote rural regions. Might be a good idea to own a petroleum- powered engine before the deadline, as it’s value is likely to go steadily upward afterward — unless the Govt introduces disincentives to own or drive a non-electric vehicle. # ⚓ Barry Kauler ☛ Lots_of_promising_new_battery technology⠀⇛ After today posting “Electric vehicle reality check”, thought perhaps a good idea to do another post with a more positive slant… [...] It was on the news here a few days ago, someone’s house burnt down, when they left a lithium-powered skateboard on charge. Spontaneous combustion and explosion of lithium-ion batteries is quite common, so we really do need an alternative. I guess as 2023 progresses, we shall see how true the uptake of sodium-ion battery becomes. If the YouTube posts are to be believed, the Chinese company CATL is already building huge battery production plants in China and Europe, with cars due to hit the streets in 2023. o § Monopolies⠀➾ # § Copyrights⠀➾ # ⚓ Walled Culture ☛ Copyright_isn’t_working:_all_around the_world,_writers_are_struggling_to_earn_a_decent_wage –_Walled_Culture⠀⇛ One of the central themes here on Walled Culture is that copyright isn’t doing its main job. It is supposed to provide fair remuneration for the work that creators do, and act as an incentive to produce more in the future. But as I explored in Walled Culture the book, the evidence is that copyright is failing to do that. For example, all around the world, writers are struggling to earn a decent wage. In 2018 the US Authors Guild conducted a survey of US authors that revealed a median author income of $6,080, down from $8,000 in 2014, $10,500 in 2009 and $12,850 in 2007. Earnings from book income alone fell even more, declining 21% to $3,100 in 2017 from $3,900 in 2013 and just over 50% from 2009’s median book earnings of $6,250. As a result, authors were finding ways to supplement their writing income, for example speaking engagements, book reviewing or teaching. Respondents who identified themselves as full-time book authors still only earned a median income of $20,300, even including these other sources of income – a figure that is well below the US federal poverty line for a family of three or more. [...] That problem could also be the solution, as I suggested in Walled Culture. A move to a funding approach based on patronage – not just one patron, as in the past, but on hundreds or thousands of “true fans” supporting a favourite creator through small but regular payments – could be a way to do better than today’s copyright system. It could hardly do any worse. * § Gemini* and Gopher⠀➾ o § Personal⠀➾ # ⚓ Unofficial_Space⠀⇛ My wife and I visited Chicago, IL earlier this month. We’ve been there many times before, but on this trip we spent almost all of our time in the Near North Side, in the heart of downtown Chicago. The area, containing upscale shopping on North Michigan Avenue and tourist attractions at Navy Pier, caters to an upper-class clientele: its shops are filled with manicured display windows and its sidewalks are meticulously cleaned. Advertising space in this part of town is fought over fiercely, and as a result is expensive and strictly controlled. Most ads promote major shops and attractions: male models pose with cologne bottles, while penguins adorn signs for the aquarium. Nordstrom ads sit next to promotions for the Chicago Philharmonic. All are aimed at wealthy consumers wanting to lead affluent lifestyles. # ⚓ Merry_Christmas_🎄⠀⇛ # ⚓ 🔤SpellBinding:_FUMNORI_Wordo:_YANKS⠀⇛ # ⚓ dreams_of_stretched_legs⠀⇛ It has been a while since I posted or browsed here. The summer was busy, fall came and went; I didn’t have the stomach to use a computer after the workdays were over. Tonight I am more-than-micro-dosing psilocybin and leaving a jazzy synth loop I made playing while thinking of some way to exit the desk for a living. # ⚓ Holiday_Hassle⠀⇛ Is it okay for something to be happy and stressful at the same time? I think it must be. That is how meeting family on the holidays is like for me most of the time. I love my family, I have good relationships with them, my immediate family anyway. But there’s some sort of expectation leading up to Christmas that leads me to pace the floor and toss and turn at night. I want them to be happy and satisfied with their holiday to the point where it stresses me. I know it’ll be a good time when we get together; I’m looking forward to it, but at the same time I keep hearing a voice in the back of my head saying… # ⚓ Yuletide!⠀⇛ Hey hey everyone! Christmas is on its way, and I’m excited. I’m hoping your holidays are merry and bright. It’s been a little while since I’ve updated my gemlog. I have a train trip planned for the new year, which I’m looking forward to. A few days ago I celebrated a friend’s birthday at a bowling alley. It was a little awkward (de exemplu, one of the guys balanced his checkbook at the bowling lane lol), but overall the evening was enjoyable. I’m pretty sure I pulled a tendon in my hand by carelessly using too-heavy bowling balls, but whatever lol, my hand’s KT taped. o § Technical⠀➾ # ⚓ Welcome_Back,_Bullseye⠀⇛ Tried Debian Testing (Bookworm) for a while recently both on my laptop (vanilla Debian with MATE desktop) and on one Raspberry Pi (Raspberry Pi OS with the Pixel desktop). Eventually things just broke in ways that got me fed up. It really sucked when the laptop broke because I didn’t know how to create a new boot image without it. The things that broke were Network Manager and the graphic desktop. I can do without the latter, but how do i get a new image without the former? It was Friday evening and my work laptop was at the office. [...] I’ve now used my own laptop with the fresh install to download a new Raspberry Pi OS image, write it to a microSD card, and inserted that into the Raspberry Pi. There’s a bit of config to do before it’s the way I want it, but it works again! =============================================================================== * Gemini_(Primer) links can be opened using Gemini_software. It’s like the World Wide Web but a lot lighter. ䷩ 𝚕𝚒𝚗𝚎 3549 ╒═══════════════════ 𝐃𝐀𝐈𝐋𝐘 𝐋𝐈𝐍𝐊𝐒 ═════════════════════════════════════════════╕ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 12.22.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ Links_22/12/2022:_Fedora_Linux_37_Election_Results⠀✐ Posted in News_Roundup at 9:42 pm by Dr. Roy Schestowitz 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈ § Contents⠀➾ * GNU/Linux o Server o Audiocasts/Shows o Applications o Instructionals/Technical o Desktop_Environments/WMs # K_Desktop_Environment/KDE_SC/Qt * Distributions_and_Operating_Systems o BSD o PCLinuxOS/Mageia/Mandriva/OpenMandriva_Family o Fedora_/_Red_Hat o Debian_Family o Devices/Embedded o Mobile_Systems/Mobile_Applications * Free,_Libre,_and_Open_Source_Software o FSF o Programming/Development # Perl_/_Raku # Rust o Standards/Consortia * Leftovers o Proprietary o Linux_Foundation o Security o Environment # Wildlife/Nature o Finance o Monopolies # Software_Patents # Copyrights * Gemini*_and_Gopher o Technical # Programming * § GNU/Linux⠀➾ o ⚓ Make Use Of ☛ 3_Sure_Ways_to_Get_in_the_Christmas_Spirit_With Linux⠀⇛ With the holidays around the corner, you can get the Christmassy feel a bit early using your Linux PC. The holiday season is a great time to relax, get cozy, and make time for just you. While many others are getting caught up in the hustle and bustle of Christmas, why not take an opportunity to just take in some of the Christmas magic at home? It feels good to treat yourself. But these treats are ones that you don’t have to travel far for. GNOME extensions, creative tools, and holiday wallpapers are available to unwrap from the comfort of your home. Let’s break down three straightforward ways to decorate your Linux desktop while you get into the holiday spirit. o § Server⠀➾ # ⚓ Oracle_VM_VirtualBox_on_Oracle_Cloud_Infrastructure⠀⇛ Oracle VM VirtualBox allows the simple and fast creation of virtual machines (VM) supporting a wide variety of operating systems. VirtualBox can be installed and run on various platforms, from a standalone laptop to a cloud instance. This hands on lab guides you through installing VirtualBox and its extension pack on an Oracle Linux cloud instance. It steps you through creating a new virtual machine using VirtualBox installed on the cloud instance, and installing the Guest Additions to the new VM. o § Audiocasts/Shows⠀➾ # ⚓ Video ☛ PCLinuxOS_2022.11.20_Quick_overview_#shorts_– Invidious⠀⇛ A Quick Overview PCLinuxOS 2022.11.20 # ⚓ Video ☛ How_to_install_Obsidian_on_KDE_Neon_–_Invidious⠀⇛ In this video, we are looking at how to install Obsidian on KDE Neon. # ⚓ Video ☛ Bash_Scripting_on_Linux_(The_Complete_Guide)_Class 16_–_Arguments_–_Invidious⠀⇛ There’s WAY too much arguing in the Linux community. Things like Systemd and whether it should be adopted, which desktop environment you should use, or which text editor is the best (the answer is clearly vim). # ⚓ Jupiter Broadcasting ☛ Linux_Action_News_272⠀⇛ Why we won’t see a new Raspberry Pi until 2025, the first steps to Plasma 6 are being taken, and PipeWire gets a major Bluetooth upgrade. # ⚓ Tux Digital ☛ 305:_The_Most_Impactful_Linux_Moments_Of_2022 –_Destination_Linux_–_TuxDigital⠀⇛ This week’s episode of Destination Linux, we go through our favorite and most impactful Linux moments of 2022. Then we discuss the amazing open source video editor, Kdenlive, and some exciting updates that are out now. Plus, we have our tips/ tricks and software picks. All this and more coming up right now on Destination Linux to keep those penguins marching! # ⚓ APNIC ☛ [Podcast]_Journeying_into_XDP:_Cardinality_and Keys⠀⇛ In this episode of PING, Luuk Hendricks and Willem Toorop from NLNet Labs discuss applying Express Data Path (XDP) to the DNS protocol. Learn how to model and categorize incoming DNS to provide telemetry and manage data growth and time bounds in the Linux kernel with radix tries and bloom filters. o § Applications⠀➾ # ⚓ Libre Arts ☛ darktable_4.2⠀⇛ The new module called “sigmoid” does a very sensible scene-to-display tonemapping. There’s nothing it does that you can’t do with filmic, but if you feel like filmic is way over your head, you might want trying sigmoid. Good results, less controls to deal with. However, while the general idea of making good results easier achievable is great, you are essentially getting another way of doing the same. Which has become a bit of a user experience issue in darktable. # ⚓ LWN ☛ Darktable_4.2.0_released⠀⇛ # ⚓ Ubuntu Pit ☛ 10_Best_Linux_Email_Clients_for_Your_Workflow [Ed: Updated today]⠀⇛ Are you tired of using the same old email client on your Linux system? Are you looking for something new and improved that can help you manage your inbox more efficiently and effectively? Look no further! In this article, we will introduce you to the best Linux email clients on the market. Whether you’re a business professional, a power user, or just someone looking for a reliable email solution, there is a Linux email client out there that will meet your needs. From popular options like Thunderbird and Evolution to lesser-known but equally powerful clients like Claws Mail and Geary, we’ve got you covered. So sit back, relax, and get ready to discover the perfect Linux email client for you! o § Instructionals/Technical⠀➾ # ⚓ SANS ☛ Linux_File_System_Monitoring_&_Actions⠀⇛ There can be multiple reasons to keep an eye on a critical/suspicious file or directory. For example, you could track an attacker and wait for some access to the captured credentials in a phishing kit installed on a compromised server. You could deploy an EDR solution or an OSSEC agent that implements an FIM (‘File Integrity Monitoring”)[1]. Upon a file change, an action can be triggered. Nice, but what if you would like a quick solution but agentless? (In the scope of an incident, for example) There is a well-known suite of API calls on Linux that track filesystem changes: inotify[2]. Around the API, a set of tools are available, like “inotifywatch” that generates an event when a file is “accessed”: # ⚓ AddictiveTips ☛ How_to_Rsync_files_from_Android_to_Linux⠀⇛ Rsync is a powerful tool that Linux users often use to synchronize files and folders from one directory to another or, from one computer to another. Did you know you can use this powerful tool to sync files from your Android device to your Linux device? Here’s how to Rsync files from Android to Linux. # ⚓ ZDNet ☛ How_to_add_Send_Later_functionality_to_Thunderbird email_|_ZDNET⠀⇛ I have, on occasion, needed to compose an email and send it at a more apropos time. more how-tos Lost a phone? Here’s how to track the location of an iPhone or Android device How to download YouTube videos three ways: Free, paid, and Linux command line How to create a drop-down list in Google Sheets How to recycle your old electronics into Amazon gift cards When such an instance arises, if I’m using either Gmail or Apple Mail, sending later is very simple. However, if I’m using Thunderbird, that option isn’t built into the app. Since Thunderbird is the email client I use the most, having that functionality is pretty important. # ⚓ UNIX Cop ☛ How_to_disable_the_“Block_dangerous_and deceptive_content”_Firefox_feature⠀⇛ Firefox is the best web browser out there (my opinion). However, it has sometimes a bit of annoying behaviors. Today, you will learn how to disable the “Block dangerous and deceptive content” Firefox feature. Let’s see, when surfing the Internet, it is common to download files that even if you know they are from trusted sources, the system, or the browser, detects that they are vulnerable. An example of this is the DEB or RPM packages that you find on the Internet. These packages contain binaries of applications that the system could consider as a threat. But what if we are confident that they are not threats? Well, Firefox does not know it, and it will “protect” you prohibiting the download, if you know that it is not threat, then it will be very annoying the situation. In this case, the best thing to do is to disable, even temporarily, this feature. # ⚓ How_to_Install_Sensu_GO_Monitoring_Tool_on_Ubuntu_–_Tips_On Unix⠀⇛ This tutorial will be helpful for beginners to install Sensu Go Monitoring Tool on Ubuntu 22.04 LTS and Ubuntu 20.04 # ⚓ Linuxiac ☛ MySQL_Root_Password_Reset_in_3_Simple_Steps⠀⇛ Have you forgotten your MySQL server’s root password? No worries. Here’s how to quickly and easily reset it. # ⚓ RoseHosting ☛ How_to_Install_Dolibarr_on_Debian_11_– RoseHosting⠀⇛ In this tutorial, we are going to show you how to install Dolibarr on Debian 11 OS. Dolibarr is an open-source ERP platform and CRM solution used by many small business companies worldwide. Dolibarr includes different features for enterprise resource planning (ERP) and customer relationship management (CRM). In this blog post, we will install the LAMP stack for Dolibarr to be accessible in the browsers via the domain name. Installing Dolibarr on Debian 11 with LAMP stack is a straightforward process and may take up to 20 minutes. Let’s get started! # ⚓ Linux Made Simple ☛ How_to_install_Openshot_video_editor_on a_Chromebook⠀⇛ Today we are looking at how to install Openshot video editor on a Chromebook. o § Desktop Environments/WMs⠀➾ # § K Desktop Environment/KDE SC/Qt⠀➾ # ⚓ OMG Ubuntu ☛ ‘Haruna’_is_a_Slick_Qt-Based_Video Player_with_YouTube_Support⠀⇛ I tried it this week and was really impressed by its design, its feature-set, and its ease of use. I’ve written a fair bit about fancy GTK media players like Clapper and Celluloid in the past. But Qt apps? Those not so much. And yet Haruna, an open source video player built using Qt/QML and libmpv, is every inch a match for those (and other) players. And naturally it looks fab on the KDE Plasma desktop… * § Distributions and Operating Systems⠀➾ o ⚓ Systemd Free ☛ On_the_discussion_about_elogind_and_dbus_‘hate’, is_there_reason?_|_systemd-free_linux_community⠀⇛ A vivid discussion has broken out between members of the community, whether q66 considers her/himself one or not is not our prerogative to define, or exclude anyone, about the hardcore stance against FOSS pests such as systemd, elogind, dbus, udev, etc. So since the topic of discussion is very specific it would have been best if a topic addressed the specific issue, which is irrelevant to whether Chimera Linux belongs on a strict list of distributions without systemd or not. The criteria about that list are very clear. The criteria for the “gray” list are not very clear, but nobody really cares about this sloppy list of gray categorized distros, such as void, artix, and devuan. This is not a fan related categorization and polarization as “some” may prefer to portray it, not in the manner of being Barcelona or Liverpool fans, NY Yankees or Dallas Cowboys, against others. This is about rational content of why we might choose one over the others. The obvious is security of a system for a single user system. ONE does not need enterprise solutions, such as logind and dbus. An administrator who wants to maintain privileges over hundreds of users may benefit from such solutions, we isolated users of a single machine and installation have little to gain and way too much surface to protect over the “known threats” of privacy, anonymity, and security of data. The same may have been true for MS users, back when Win for workroups, and then NT were invented as enterprise solutions, finally combined into one system in XP, vista, 7-8-10-11. To the cost of the user’s system, one size of system fits all who can afford it, and they are the ones who are the market. If you have no money for an i3 or A6, you are no market to be worried about. IBM’s aim to dominate and dictate what is going on in FOSS through its finance of RH, Gnome, Freedesktop, etc.. and linux kernel itself, may have penetrated a significant part of the FOSS market, but its goal is not yet complete by any means. There are certain actors still out there, pretending to be independents, who facilitate this long-term plan of dominance, while there may be adversaries of equal intents, competitively acting for a share themselves. Qt corporation may be one, Intel may be another, Google, Oracle, MS, among others. So let us see what aspects have yet to be penetrated. A glibc based infrastructure has been penetrated to the maximum, and Gnu-tools based systems as well. A Musl based system is next, while the BSDs are also to be exploited. So are the active members/project actors for sale, working on those submarkets? Porting systemd, elogind, dbus functionality, udevd, into systems that have traditionally lived without? Would that be the next stage goal for corporations to achieve? If Qt is successful in one subcategory that fits the general goal, can it be purchased, owned, controlled, by a bigger fish? Of course, it can and it will when time is ripe. Can Oracle strategists see where all this is going and strategically forming alliances with IBM or others to be there among the few when time comes? Of course they can. So don’t go “wow!!!” when the news are official, try to see the news before they happen. o § BSD⠀➾ # ⚓ FreeBSD ☛ 2022_in_Review:_Fundraising_Update_|_FreeBSD Foundation⠀⇛ Wow, another year has flown by! Is it just me, or are the days/years flying by more quickly than ever? Like many of you, December is when I reflect over the past year. I had a few personal goals, some I met and some I didn’t, but it helps guide me with determining what I want to accomplish in the new year. We do the same here at the Foundation. We start with lofty, but realistic goals. Lofty because there is so much we want to do to help the FreeBSD Project and community, but we are limited in what we can do because of the lack of resources. I like to think of us as a small, but mighty team of passionate FreeBSD supporters. If you haven’t yet, please take a look at what our team has accomplished over the past year throughout this newsletter. When discussing goals for the Foundation, one might argue that one of our most important goals revolves around fundraising. I have to agree with that. So, let’s talk about where we are with our fundraising efforts for 2022. # ⚓ FreeBSD ☛ 2022_in_Review:_Software_Development_|_FreeBSD Foundation⠀⇛ From ZFS support in makefs to experimental 16k page support on arm64 to lldb and wireguard improvements, the Foundation development staff and contractors had another busy year working to improve FreeBSD. From January 1, 2022 until mid- December 2022, 1114 of the 7575 commits to the src repository (about 15%) identify the FreeBSD Foundation as a sponsor. The raw commit data give a broad indication that the Foundation is dedicated to directly improving FreeBSD, however commit data only tell part of the story. Let’s review the Foundation’s role in FreeBSD development over the past year. Members of the Foundation team support development by serving in many ways. For example, two staff members serve on the FreeBSD core team, which takes on a variety of roles including setting Project policy and resolving disputes. We coordinate contracted development work, including internships and we contribute to cluster administration, source repository management, the security team, and continuous integration. We also played key roles in FreeBSD’s Google Summer of Code program. One Foundation staff member administered the program and served as a mentor, while two other staff members also served as project mentors. The program was a success in that all projects passed and code was contributed to the tree. For example, drm debugfs support was added to the LinuxKPI in f697b943. We also participated in a mentorship program through RISC-V International to get Syzkaller, a kernel fuzzer, working on FreeBSD/ RISC-V. The project was a success and some RISC- V bug reports (e.g. PR 266108) have started coming in. # ⚓ Klara ☛ FreeBSD_and_ZFS_Holiday_Reads_–_2022_Edition⠀⇛ o § PCLinuxOS/Mageia/Mandriva/OpenMandriva Family⠀➾ # ⚓ Reannouncing_OpenMandriva_deploying_Mirrorbits_– Announcements_and_Communications_–_OMA_forum⠀⇛ Mirrorbits is a geographical download redirector written in Go for distributing files efficiently across a set of mirrors. It offers a simple and economic way to create a Content Delivery Network layer using a pure software stack. It is primarily designed for the distribution of large-scale Open- Source projects with a lot of traffic. # ⚓ OpenMandriva News ☛ Reannouncing_OpenMandriva_deploying Mirrorbits_–_OpenMandriva⠀⇛ To expand on information about our Mirrorbits mirror management instance we are re-announcing OpenMandriva deploying Mirrorbits o § Fedora / Red Hat⠀➾ # ⚓ Fedora Project ☛ Fedora_Linux_37_election_results_–_Fedora Community_Blog⠀⇛ The Fedora Linux 37 election cycle has concluded. Here are the results for each election. Congratulations to the winning candidates, and thank you all candidates for running in this election! # ⚓ Kubernetes Blog ☛ Kubernetes_1.26:_Support_for_Passing_Pod fsGroup_to_CSI_Drivers_At_Mount_Time_|_Kubernetes⠀⇛ Delegation of fsGroup to CSI drivers was first introduced as alpha in Kubernetes 1.22, and graduated to beta in Kubernetes 1.25. For Kubernetes 1.26, we are happy to announce that this feature has graduated to General Availability (GA). In this release, if you specify a fsGroup in the security context, for a (Linux) Pod, all processes in the pod’s containers are part of the additional group that you specified. In previous Kubernetes releases, the kubelet would always apply the fsGroup ownership and permission changes to files in the volume according to the policy you specified in the Pod’s .spec.securityContext.fsGroupChangePolicy field. Starting with Kubernetes 1.26, CSI drivers have the option to apply the fsGroup settings during volume mount time, which frees the kubelet from changing the permissions of files and directories in those volumes. # ⚓ Slashdot ☛ Fedora_38_To_Prohibit_Byte_Swapped_Xorg_and Xwayland_Clients_–_Slashdot⠀⇛ A rather exotic feature in Xorg and Xwayland is being proposed to have the default value turned off going forward in Fedora 38 due to its use in attacks (CVE-2014-8095, CVE-2014-8099, CVE-2014- 8103. . . to name a few). The feature allows servers running on one endianess to byte-swap to allow clients of a different endianess to connect to it. This was more common in the 1980s when X servers ran on big-endian and clients would connect who were little-endian. # ⚓ Red Hat Official ☛ Career_builders:_Upskill_in_the_new_year with_these_10_free_Red_Hat_Training_webinars⠀⇛ Throughout 2022, training experts from Red Hat Training and Certification delivered free monthly Taste of Training webinars built around our existing curricula to provide viewers valuable insight into our course catalog and the latest updates on Red Hat technology. Don’t worry if you weren’t able to attend the live sessions – each webinar is available on-demand for one year after the live session. Here is a look back at the topics that were covered this year: # ⚓ Red Hat Official ☛ Customer_success:_Highlights_from_our public_customer_stories_in_2022⠀⇛ As this year draws to a close, we stop to reflect on what 2022 has meant to us. For many, it’s been a year that saw people returning to the office and other public venues, mingling with coworkers, family and friends—some of whom we haven’t seen in more than two years. Gatherings are becoming more frequent, restrictions are being lifted and fewer masks are worn in grocery stores and doctor’s offices, among a number of other things. Red Hat Summit went hybrid for the first time, with more than 900 attendees in Boston and in excess of 14,000 logging into the virtual experience. AnsibleFest was another popular event, showcasing the benefits of automation for organizations—from development and operations to security and network teams. # ⚓ Red Hat Official ☛ ELF_section_retrieval_with_debuginfod⠀⇛ It’s been almost a year since our last blog regarding debuginfod, an HTTP file server that provides debugging resources to debugger-like tools. Since then we have been busy working on improvements to the server itself, as well as the debuginfod clients built into tools such as GDB, Valgrind and Systemtap. One feature that we recently added is the ability to download specific ELF sections from ELF binaries available from the server. First I’ll give brief summaries of how debuginfod works and what ELF sections are. For more information you can check out our other debuginfod blog posts. o § Debian Family⠀➾ # ⚓ Björn Wärmedal ☛ Welcome_Back,_Bullseye_–_Björn_Wärmedal⠀⇛ Tried Debian Testing (Bookworm) for a while recently both on my laptop (vanilla Debian with MATE desktop) and on one Raspberry Pi (Raspberry Pi OS with the Pixel desktop). Eventually things just broke in ways that got me fed up. It really sucked when the laptop broke because I didn’t know how to create a new boot image without it. The things that broke were Network Manager and the graphic desktop. I can do without the latter, but how do i get a new image without the former? It was Friday evening and my work laptop was at the office. o § Devices/Embedded⠀➾ # ⚓ Purism ☛ Where_is_My_Librem_5?_Part_2⠀⇛ Earlier this year I wrote a post titled Where is My Librem 5? where I went into detail about some of the challenges (in particular in the supply chain) that we faced in making the mass-produced Librem 5. If you haven’t yet read that article, I highly recommend it so you have more background on our Librem 5 production challenges. Understanding that will help you understand this post better. The main purpose of that article was to give a general status report on where we are, and where we intended to go to finish shipping everyone their Librem 5. In particular I identified three different production batches (E3, E4, and E5) that were necessary to complete all outstanding orders, and shared our internal goal to try to fulfill all of the orders by the end of the year. While we haven’t met that goal in that time frame, many people have received their Librem 5, and we are well on our way. In this post I will give an update on where we are currently and what the next few months will look like for Librem 5 fulfillment. # ⚓ Tom’s Hardware ☛ Raspberry_Pi_5_Not_Launching_Until_After 2023_|_Tom’s_Hardware⠀⇛ Raspberry Pi CEO Eben Upton talks to Explaining Computers about the impact of the pandemic and global chip shortage on the Raspberry Pi 5. # ⚓ Bryan Lunduke ☛ “The_Sidecar’_—_Adding_advanced_networking, and_a_Linux_shell,_to_a_Psion_palmtop⠀⇛ I am a huge fan of finding creative ways of using the serial port on older computers to get them On- Line — and otherwise extend their functionality. One of my favorite such approaches is using a single board computer to emulate an old-school, analog modem… bridged to a WiFi connection. This allows an old computer — even ones which never had a networking stack — to use any plain old telecom software (the kind you might use to dial up a BBS in the 1980s) to connect to a Telnet or SSH server. o § Mobile Systems/Mobile Applications⠀➾ # ⚓ Giz China ☛ Find_My_Device:_You_can_now_find_your_Android without_Internet⠀⇛ # ⚓ Android Authority ☛ Here_are_the_best_Android_wallpapers our_readers_created_in_2022⠀⇛ # ⚓ 9to5Google ☛ Android_13_is_bringing_Pixel’s_Personal_Safety app_to_more_phones⠀⇛ # ⚓ Phone Arena ☛ Android_13_arrives_for_Samsung_Galaxy_A13_5G in_the_US_–_PhoneArena⠀⇛ * § Free, Libre, and Open Source Software⠀➾ o § FSF⠀➾ # ⚓ FSF ☛ Surprise_your_loved_ones_with_an_FSF_membership_gift this_holiday_season⠀⇛ Joining the FSF as an associate member is one of the best ways to bring your friends and loved ones into the free software community. For a full year, they’ll be welcomed into the FSF community’s collective push towards freedom, and your support will allow us to keep on spreading the free software message all year round — as well as for years to come. Plus, your gift of a membership will count towards our year-end goal of 455 new members, helping us start the year off right financially. Your friend, colleague, or loved one will be able to redeem their membership from the moment your donation is complete. After donating, you’ll receive a code and a printable page so that you can present your gift as a physical object, if you like. The membership is valid for one year, and includes the many benefits that come with an FSF associate membership, including a USB member card, email forwarding, access to our Jitsi Meet videoconferencing server and member forum, discounts in the FSF shop and on ThinkPenguin hardware, and more. [...] If you have a few spare moments around the kitchen table this holiday season, now might be the perfect time to share (or reshare!) our video ShoeTool for a way to start the conversation about free software and explore some of its most basic concepts. o § Programming/Development⠀➾ # ⚓ Make Use Of ☛ cheat.sh_Gives_You_Access_to_the_Best_Linux and_Programming_Cheat_Sheets⠀⇛ Learning how to do new things or fix problems on Linux can sometimes be overwhelming. If you’re searching for an answer to a problem, and the man pages aren’t working out, it’s tempting to dive headfirst into Stack Overflow or even YouTube. But it’s easy to access the best community-driven cheat sheet repositories in the world—right from your terminal. # ⚓ The_advantages_of_coding_on_Linux_|_Qrius⠀⇛ Whether you’re running a business or are just an average user, open-source software has many benefits. Linux, in particular, is one to keep an eye out for, with its share in the worldwide market expected to reach $15.64 billion by 2027 due to the easy usability and perks it offers users. From securer networks to impressive customisation potential, Linux is an excellent platform for programmers and coders. While proprietary software is better suited for certain applications, Linux offers its users a variety of advantages, and here are just a few of them… # ⚓ Get_the_window_width_and_height_in_Javascript,_Vanilla Javascript⠀⇛ The script below displays the window width and window height dimensions. When the window is resized the window dimensions are reloaded using the window.addEventListener resize function. We assign window.innerWidth and window.innerHeight properties to variables and then use the document.write to print the dimensions on the screen. # ⚓ Memfault_Adds_Embedded_Linux_to_IoT_Device_Reliability Platform⠀⇛ Memfault, the provider of the first IoT reliability platform, announced today its platform includes full support for embedded Linux. The expansion offers cross-platform support for developers building on MCUs, Android, or embedded Linux for any hardware device for an unlimited number of devices running any use case, anywhere. With Memfault’s IoT reliability platform, developers can solve operational challenges via fleet observability, remote debugging, and smart firmware over-the-air (OTA) management. Embedded Linux developers will now have easy access to Memfault’s device reliability engineering tools that offer product, engineering, and support teams deep insights into embedded device performance, irrespective of the hardware. Memfault’s device reliability engineering capabilities will be available across all product lines enabling teams to make product changes irrespective of device hardware and operating system with the confidence that it won’t impact their device fleets. # § Perl / Raku⠀➾ # ⚓ Rakulang ☛ Day_23:_Sigils_followup:_semantics_and language_design_–_Raku_Advent_Calendar⠀⇛ Until a few days ago, I’d intended for this post to be an update on the Raku persistent data structures I’m deveoping. And I have included a (very brief) status update at the end of this post. But something more pressing has come to my attention: Someone on the Internet was wrong — and that someone was me. Specifically, in my post about sigils the other day, I significantly misdescribed the semantics that Raku applies to sigiled- variables. And – considering that the post was about sigils, the final third focused on Raku’s sigils, and much of that section discussed the semantics of those sigils – being wrong about the semantics of Raku’s sigils isn’t exactly a trivial mistake. Oops! In partial mitigation, I’ll mention one thing: no on pointed out my incorrect description of the relevant semantics, even though the post generated over two hundred comments of discussion, most of it thoughtful. Now, it could be no one read all the way to Part 3 of a 7,000 word post (an understandable choice!). But, considering the well-known popularity of correcting people on the Internet, I view the lack of any correction as some evidence that my misunderstanding wasn’t obvious to others either. In fact, I only discovered the issue when I decided, while replying to a comment on that post, to write an an oddly-designed Raku class to illustrate the semantics I’d described; much to my suprise, it showed that I’d gotten those semantics wrong. # ⚓ Perl ☛ Perl_Weekly_Challenge_196:_Pattern_132_and Range_List⠀⇛ # § Rust⠀➾ # ⚓ Video ☛ There_is_Rust_in_the_Kernel!_–_Invidious⠀⇛ In this video I discuss the implications of the Rust programming language being used in the Linux Kernel # ⚓ Rust Weekly Updates ☛ This_Week_In_Rust:_This_Week_in Rust_474⠀⇛ o § Standards/Consortia⠀➾ # ⚓ SANS ☛ Can_you_please_tell_me_what_time_it_is?_Adventures with_public_NTP_servers.,_(Wed,_Dec_21st)⠀⇛ Keeping accurate time has never been easier. In the early days of my computing experience, the accuracy of computer clocks was always questionable. Many of them kept worse time than a $5 wristwatch. Having a cheap quartz oscillator on a motherboard with widely varying temperatures just didn’t work all that well. Along came NTP, and now, almost all operating systems, even many IoT devices, come preconfigured with some reasonable NTP server. In addition, “pool.ntp.org” has made available many publicly available servers to choose from. Currently, “pool.ntp.org” claims to consist of about 4,000 servers provided by volunteers. But how good are they? That is a question that often comes up with volunteer projects like that. Pretty much anybody may join “the pool” and of course, there is no guarantee that the times are accurate. So I did a quick test and wrote a little python script to figure out how good they are. * § Leftovers⠀➾ o § Proprietary⠀➾ # ⚓ Bryan Lunduke ☛ Commercial_Dev_Tool_vendor_adds_ARM64_and “Dark_Mode”_for_Linux [Ed: Proprietary, not "commercial"; Free software can also be used commercially]⠀⇛ I’m a big fan of commercial software supporting Linux. Big, big fan. When I see game developers and publishers throw their weight behind Linux, it makes my heart sing. Even when those games are closed source, it’s worth supporting their endeavors to support one of my favorite open source operating systems. o § Linux Foundation⠀➾ # ⚓ Video ☛ Linux_Foundation_Makes_Open_Street_Maps_Great_Again –_Invidious⠀⇛ The Linux Foundation is starting a new foundation called the Overture Maps Foundation with the aim of making open mapping even better with full compatibility with Open Street Maps, with the help some big tech giants. # ⚓ Silicon Angle ☛ New_Linux_Foundation_dataset_aids_in_food traceability,_carbon_tracking_and_crop_production_– SiliconANGLE⠀⇛ The Linux Foundation has today announced that its AgStack project will host a new open-source code base and computation engine that offers a data dataset of registry data for agricultural fields to aid in food traceability, carbon tracking, crop production and other field-level analytics. o § Security⠀➾ # ⚓ Scoop News Group ☛ Software_bills_of_material_face_long road_to_adoption [Ed: Microsoft agenda (and old, antiquated FUD) creeping in under the guise of "security"]⠀⇛ There are few things the fractious community of cybersecurity experts and researchers can agree on. One of the rare exceptions is the need for more widespread use of software bills of materials, or SBOMs, a tool that lists the components of a given piece of software. # ⚓ Computing UK ☛ A_year_in_cyber:_Computing’s_biggest security_stories_of_2022⠀⇛ Here’s our round-up of the security stories that have shaped the cyber year in what has been yet another rollercoaster ride for infosec professionals. o § Environment⠀➾ # § Wildlife/Nature⠀➾ # ⚓ US News And World Report ☛ Endangered_Pink_Iguana Hatchlings_Seen_for_First_Time_on_Galapagos_Island⠀⇛ Scientists have discovered hatchling and juvenile populations of the Galapagos pink land iguana, an endangered reptile native to a sole island on the Ecuadorean archipelago, for the first time since the species’ discovery just decades ago. Native only to the slopes of Wolf Volcano on the Galapagos’ Isabela Island, the iguana is considered critically endangered and just several hundred are left, according to estimates. o § Finance⠀➾ # ⚓ Michael West Media ☛ A_Royal_Commission_into_Scott Morrison?_He_sold_off_the_farm,_in_secret_–_Michael_West⠀⇛ Scott Morrison approved tens of billions in foreign takeover deals after secretly being appointed Treasurer last year, compromising Australia’s national interest. Sydney Airport, electricity giants AusNet and Spark Infrastructure. All gone. Michael West reports. o § Monopolies⠀➾ # § Software Patents⠀➾ # ⚓ Even_Avanci’s_Supporters_Don’t_Defend_its_Litigation Funding_Scheme_–_Patent_Progress⠀⇛ In July 2020, the U.S. Department of Justice’s Antitrust Division issued a business review letter (BRL) addressing Avanci LLC’s proposed pool pursuant to… # § Copyrights⠀➾ # ⚓ Market Watch ☛ Opinion:_Here_are_ChatGPT’s_practical uses_for_marketers,_programmers_and_journalists_– MarketWatch⠀⇛ ChatGPT is a revolutionary iteration of OpenAI’s GPT-3 neural network machine learning model. It’s trained to generate any type of text using internet data. ChatGPT accrued more than one million users in five days when it was released this month. Maybe you’ve used it, or read stories about people creating fantastical stories with the software. Being in love with all things artificial intelligence (AI), I was thrilled to cover today’s topic: practical uses and implementations of GPT-3. # ⚓ Kondrashov_DMCA_abuse_seems_to_continue⠀⇛ 21,000+ notices piggyback on set of notices from Blog Part I In light of the growing number of revelations regarding Russian corruption in recent months, it stands to reason that anyone who may be under investigation for such behavior would want any online criticism of their behavior removed. The DMCA notice and takedown procedure remains the favored approach for coordinating the suppression of critical articles as part of larger reputation management efforts. The essence of the DMCA’s notice and takedown procedure is that OSPs cannot be held liable for copyright infringement as long as they removed disputed materials in response to takedown notices they receive. For copyright holders, takedown notices have made it easier to address online infringement and remove content online without having to go to court to assert their rights. * § Gemini* and Gopher⠀➾ o § Technical⠀➾ # ⚓ No_GoToSocial⠀⇛ # ⚓ GoToSocial_instead_of_snac⠀⇛ Here’s what I didn’t like. When I followed a person, all their posts ended up in my feed, even if they replied to people not in my feed. It was confusing. I remember this used to be a default in the distant past, and I remember Pleroma having this, too. When that default was changed for Mastodon, I didn’t like the change. Now, I don’t like going back. I am following hundreds of accounts from my main octodon.social account. I imported just a small sliver into snac, and it already felt like a glorious mess. # ⚓ PostmarketOS_as_semi_daily_driver⠀⇛ So, its now about a week that i flashed PostmarketOS on a Oneplus 6 i scavanged at work. How does it fare so far? I would say pretty good (bar the few hickups that were more or less my fault). One thing i can not get reliably to work is voice calling. Under SXMO i can establish a call but get no audio (and i get the error message “We failed to establish call audio”), under Phosh (yeah, i flashed the device multiple times… but more on that later) i CAN get working calls but not reliably. After spending a few days getting it to work and getting pretty frustrated a thought crept into my mind and i dug out the emails of the coworker that owned the device previously, and yes, a similar behaviour was wat lead to the device ending up in the “crap electronics” box in my office in the first place. Hmm… ok, lets put “voice calling” a few steps down on the priority ladder. # § Programming⠀➾ # ⚓ Unit_Tests⠀⇛ Granted, programmers may be under some amount of time pressure; tests and documentation are likely first to the axe. And rare may be the developer who actually likes writing and maintaining the tests and documentation; certain programming languages and operating systems have more of a culture for this than others. =============================================================================== * Gemini_(Primer) links can be opened using Gemini_software. It’s like the World Wide Web but a lot lighter. ䷩ 𝚕𝚒𝚗𝚎 4819 ╒═══════════════════ 𝐃𝐀𝐈𝐋𝐘 𝐋𝐈𝐍𝐊𝐒 ═════════════════════════════════════════════╕ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 12.22.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ Links_22/12/2022:_NuTyX_22.12.0_and_SteamOS_3.4_for_Steam_Deck⠀✐ Posted in News_Roundup at 7:41 am by Dr. Roy Schestowitz 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈ § Contents⠀➾ * GNU/Linux o Server o Audiocasts/Shows o Kernel_Space o Applications o Instructionals/Technical o Games * Distributions_and_Operating_Systems o New_Releases o BSD o Red_Hat o Debian_Family o Canonical/Ubuntu_Family o Devices/Embedded o Mobile_Systems/Mobile_Applications * Free,_Libre,_and_Open_Source_Software o Web_Browsers/Web_Servers # Mozilla o Education o Programming/Development # Python * Leftovers o Education o Hardware o Health/Nutrition/Agriculture o Proprietary o Security # Privacy/Surveillance o Defence/Aggression o Transparency/Investigative_Reporting o Environment # Energy # Wildlife/Nature o Finance o AstroTurf/Lobbying/Politics o Censorship/Free_Speech o Freedom_of_Information_/_Freedom_of_the_Press o Civil_Rights/Policing o Monopolies # Copyrights * § GNU/Linux⠀➾ o § Server⠀➾ # ⚓ OpenSource.com ☛ 6_Kubernetes_articles_every_open_source enthusiast_should_read_|_Opensource.com⠀⇛ We learned a lot about Kubernetes in 2022. It seems every year, Kubernetes gets better and better. For all those beginners out there, this year’s coverage is wide-ranging and detailed, including a couple of new eBooks. This article covers what I found to be the best Kubernetes articles of 2022. From visual maps to personal journeys, these articles definitely shine a light on the power of Kubernetes. So let’s get started with my favorite ones. o § Audiocasts/Shows⠀➾ # ⚓ The BSD Now Podcast ☛ BSD_Now_486:_EuroBSDcon_interviews⠀⇛ This special episode features two interviews we did at EuroBSDcon in Vienna this year. We talk with FreeBSD developers about how they got started, their current projects and more. Also, consider donating to your favorite BSD Foundation to keep the projects going. o § Kernel Space⠀➾ # ⚓ LWN ☛ Troubles_with_triaging_syzbot_reports_[LWN.net]⠀⇛ A report from the syzbot kernel fuzz-testing robot does not usually spawn a vitriolic mailing-list thread, but that is just what happened recently. While the invective is regrettable, the underlying issue is important. The dispute revolves around how best to report bugs to affected subsystems and, ultimately, how not to waste maintainers’ time. Al Viro was apparently fed up with syzbot reports that involved the ntfs3 filesystem but that were not copied (CCed) to the maintainers of ntfs3. The syzbot message was sent to the kernel mailing list, but Viro shouted his reply that “ANY BUG REPORTS INVOLVING NTFS3 IN REPRODUCER NEED TO BE CCED TO MAINTAINERS OF NTFS3″. That complaint had been relayed several times in the past, he indicated, without the problem getting fixed, so he was planning to stop looking at the reports. In fact, they will be “getting triaged straight to /dev/null here”. # ⚓ LWN ☛ Bugs_and_fixes_in_the_kernel_history_[LWN.net]⠀⇛ Each new kernel release fixes a lot of bugs, but each release also introduces new bugs of its own. That leads to a fundamental question: is the kernel community fixing bugs more quickly than it is adding them? The answer is less than obvious but, if it could be found, it would give an important indication of the long-term future of the kernel code base. While digging into the kernel’s revision history cannot give a definitive answer to that question, it can provide some hints as to what that answer might be. # ⚓ LWN ☛ Development_statistics_for_the_6.1_kernel_(and beyond)_[LWN.net]⠀⇛ The 6.1 kernel was released on December 11; by the time of this release, 13,942 non-merge changesets had been pulled into the mainline, growing the kernel by 412,000 lines of code. This is thus not the busiest development cycle ever, but neither is it the slowest, and those changesets contained a number of fundamental changes. This release will also be the long-term-support kernel for 2022. Read on for a look at where the work in 6.1 came from. The work in 6.1 was contributed by 2,043 developers, of whom 303 made their first contribution to the kernel in this release. o § Applications⠀➾ # ⚓ Carl Schwan ☛ Tokodon_22.11.2_release⠀⇛ I’m happy to announce the release of Tokodon 22.11.2 (and 22.11.1 who I released earlier this month and forgot to properly announce). These releases contain mostly bug fixes but also some welcome interface improvements. [...] Finally I added support for custom emojis in many places inside the UI. Perfect if you want to show you true verified checkmark in your profile 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇:)⦈ Aside from the nice new improvements, I improved the spacing in the app and while not perfect yet, I hope this makes Tokodon more enjoyable to use. Joshua Goins has also made various improvements to our internal networking code and this should offer better reliability and less prone to crash code. And I fixed an important crash on start-up that was affecting a lot of users Finally I started adding unit tests in Tokodon and added the infrastructure to mock a Mastodon server. We now have reached 12% unit tests coverage and I hope this number will grow after each release. # ⚓ OpenSource.com ☛ 3_delightful_features_of_the_Linux_QtFM file_manager_|_Opensource.com⠀⇛ QtFM is a simple file manager that aims to provide the basic features of file management through a fast and intuitive interface. It’s available for Linux, BSD, and macOS. QtFM, as its name suggests, uses the Qt (canonically pronounced “cute”) programming toolkit. I’ve worked with the Qt toolkit both in C++ and Python, and using it is always a pleasure. It’s cross-platform, it’s got multiple levels of useful abstraction so developers don’t have to interact directly with vendor-specific SDKs, and it’s highly configurable. From a user’s perspective, it’s a “natural” and fast experience, whether you’re on the latest hardware or on an old computer. # ⚓ Medevel ☛ Linhome:_Open_Source_VoIP_for_Home_Intercom System⠀⇛ Linhome is an open-source VoIP solution for building IP Intercom and video-based door entry systems. # ⚓ Medevel ☛ BeeBEEP:_Your_Free_Encrypted_Serverless_Office Messenger⠀⇛ BeeBEEP client is available for Windows, Linux, macOS, as well as Raspberry Pi and OS/2. # ⚓ Medevel ☛ Flarum_Is_a_Next_Generation_Forums_Software⠀⇛ Flarum is a free open-source discussion board and forums solution for building better engagement platforms for communities. [...] Flarum is open-source software licensed under the MIT License. # ⚓ Medevel ☛ 7_Open-source_Microsoft_Access_and_FileMaker Alternatives⠀⇛ Here in this post, we present you several open- source alternatives for Microsoft Access, some of them are good for business and creating internal tools, others are ideal for personal use only. o § Instructionals/Technical⠀➾ # ⚓ How_to_Run_a_Linux_Command_Without_Keeping_It_in_History⠀⇛ Each command executed in your Linux terminal is being recorded by your shell (referring to Bash) in a separate file (like “~/.bash_history“) that you can view using the history command. For most Linux distributions, the number of commands that should be recorded and number of results will be displayed on output is set using the “HISTFILESIZE” and “HISTSIZE” variables. Execute the following command to check your history buffer. # ⚓ TecMint ☛ Advanced_Copy_–_Shows_Progress_While_Copying Files_in_Linux [Ed: Updated today]⠀⇛ Advanced-Copy is a powerful command line program that is very much similar, but a little modified version of the original cp command and mv tools. This modified version of the cp command adds a progress bar along with the total time taken to complete while copying large files from one location to another. This additional feature is very useful especially while copying large files, and this gives an idea to the user about the status of copy process and how long it takes to complete. # ⚓ TecMint ☛ How_to_Use_cp_Command_Effectively_in_Linux_[14 Examples]⠀⇛ In this easy-to-follow guide, we will discuss some practical examples of the cp command. After following this guide, users will be able to copy files and directories easily in Linux using the command line interface. As Linux users, we interact with the files and directories from time to time. One common operation users perform is copying files and directories. Certainly, we can use a graphical file manager to perform the copy operation. However, most Linux users prefer to use the cp command due to its simplicity and rich functionality. In this beginner-friendly guide, we will learn about the cp command. As the name suggests, the cp command is used to copy files and directories at a given path. # ⚓ Linux Hint ☛ How_to_Install_QOwnNotes_on_Ubuntu_22.04⠀⇛ QOwnNotes is an open-source plaintext notepad used for creating notes and comes with features like markdown and to-do-list manager. It has markdown support and a to-do list manager that works efficiently on different operating systems like Windows, macOS and Linux. With this notepad, you can easily sync your files with owncloud or nextcloud servers; thus, it’s an excellent option to access files from any device. It also has several customization options that enable users to work in the environment of their choice. This article is a detailed guide to install the QOwnNotes on Ubuntu 22.04 system. # ⚓ ID Root ☛ How_To_Install_ERPNext_on_Ubuntu_22.04_LTS_– idroot⠀⇛ In this tutorial, we will show you how to install ERPNext on Ubuntu 22.04 LTS. For those of you who didn’t know, ERPNext is an open-source enterprise resource planning (ERP) software that is built using the Frappé framework, which is written in Python. It is a web-based application that can be used to manage various business operations, including financial accounting, inventory management, and customer relationship management. ERPNext is designed to be easy to use and highly customizable, making it a popular choice for businesses of all sizes. This article assumes you have at least basic knowledge of Linux, know how to use the shell, and most importantly, you host your site on your own VPS. The installation is quite simple and assumes you are running in the root account, if not you may need to add ‘sudo‘ to the commands to get root privileges. I will show you the step-by-step installation of the ERPNext on Ubuntu 22.04 (Jammy Jellyfish). You can follow the same instructions for Ubuntu 22.04 and any other Debian-based distribution like Linux Mint, Elementary OS, Pop!_OS, and more as well. # ⚓ Citizix ☛ How_to_install_ScyllaDB_Open_Source_on_Rocky Linux_8⠀⇛ Scylla is a high-performance NoSQL database that is compatible with the Apache Cassandra database. It is designed to be highly scalable and able to handle large amounts of data and high levels of concurrency. # ⚓ Linux Capable ☛ How_to_Install_TeamViewer_on_Rocky_Linux EL9/EL8⠀⇛ TeamViewer is a remote access and remote control computer software. The following tutorial will demonstrate how to import the DNF repository to install TeamViewer on Rocky Linux 9 and the Rocky Linux 8 series using cli commands to ensure you have the latest updated version at all times. # ⚓ Linux Capable ☛ How_to_Install_SeaMonkey_on_Linux_Mint_21/ 20⠀⇛ The SeaMonkey is an open-source internet application suite that provides browser, chat, email management, and web development tools in a single solution. In the following tutorial, you will learn how to install SeaMonkey on Linux Mint 21 or Linux Mint 20 desktop with the official Ubuntuzilla Repository APT repository using the command line terminal and instructions on updating and removing the software in the future if required. # ⚓ Linux Capable ☛ How_to_Install_ExifTool_on_Linux_Mint_21/ 20⠀⇛ ExifTool is a free, open-source software program for reading, writing, and manipulating metadata found in images, audio, and video files. The following tutorial will demonstrate how to install ExifTool on Linux Mint 21 or Linux Mint 20 releases using the default repository or manually downloading the latest archive and making and installing the application with cli commands and some additional common usage examples with ExifTool. # ⚓ Linux Capable ☛ How_to_Install_RethinkDB_on_Ubuntu_22.04/ 20.04⠀⇛ Rethinking the traditional database structure, RethinkDB is a powerful NoSQL document-based engine optimized for real-time web applications. The following tutorial will teach you how to install RethinkDB on Ubuntu 22.04 Jammy Jellyfish or Ubuntu 20.04 Focal Fossa Linux with utilizing the command line terminal and importing the official RethinkDB APT repository with cli commands and installing the software directly from it. o § Games⠀➾ # ⚓ GamingOnLinux ☛ SteamOS_3.4_is_out_now_for_Steam_Deck⠀⇛ Pulling in tons of improvements for desktop mode, along with a healthy dose of bug fixes elsewhere, the SteamOS 3.4 update for Steam Deck has been released. This means you can now check for updates on Stable to get it, or switch back from Preview to Stable (tested fine across two Steam Decks just today). # ⚓ GamingOnLinux ☛ Proton_Experimental_fixes_The_Witcher_3_— plus_better_steering_wheel_support⠀⇛ Valve has updated Proton Experimental for Steam Deck and Linux desktop with a few quick fixes so here’s the usual run over what’s new. # ⚓ GamingOnLinux ☛ Heroes_of_Might_and_Magic_II_game_engine remake_fheroes2_hits_1.0⠀⇛ fheroes2 is a free and open source game engine reimplementation of the classic Heroes of Might and Magic II, and after many development releases they’ve finally hit the big 1.0. # ⚓ GamingOnLinux ☛ Whisker_Squadron:_Survivor_blends_Vampire Survivors_with_a_Star_Fox-like_shooter⠀⇛ A new on-rails survival rogue-lite shooter? Sign me up. Whisker Squadron: Survivor is from the same team as Race the Sun, and the first in the Whisker Squadron series. There’s also a demo right now. # ⚓ GamingOnLinux ☛ GameMaker_makes_a_few_more_open_source moves_with_extensions⠀⇛ Well, I have to admit I am surprised that the takeover of YoYo Games (who develop GameMaker) by Opera has been largely positive with them making more moves towards open source. # ⚓ GamingOnLinux ☛ The_itch.io_winter_sale_is_live_for_you_to stock_up_on_indies⠀⇛ Game store itch.io has their own big Winter Sale now on, where you can save big and support one of the smaller stores along with plenty of indie games. # ⚓ GamingOnLinux ☛ Steam_Deck_shipping_update_for_Asia_notes_a few_issues_but_plenty_get_it_this_year⠀⇛ Valve and Komodo have given an update on the shipping of the Steam Deck through Japan, South Korea, Hong Kong, and Taiwan. # ⚓ Boiling Steam ☛ New_Steam_Games_with_Native_Linux_Clients_– 2022-12-21_Edition_(with_X-Plane_12)_–_Boiling_Steam⠀⇛ Between 2022-12-14 and 2022-12-21 there were 35 New Steam games released with Native Linux clients. For reference, during the same time, there were 321 games released for Windows on Steam, so the Linux versions represent about 10.9 % of total released titles. * § Distributions and Operating Systems⠀➾ o ⚓ It’s FOSS ☛ 11_New_Distros_to_look_forward_to_in_2023⠀⇛ It’s time to say goodbye to 2022! There were many distro releases in 2022, some more extraordinary than others. With the trend shifting towards focusing more on the user experience and performance side of things, Linux distributions have significantly evolved over the past year. As for you, the end-user, you now have several options, and there is usually something for everyone. So, what can you expect in 2023? Well, to answer that. Allow me to take you on a distro journey! o § New Releases⠀➾ # ⚓ NuTyX_22.12.0_available_with_cards_2.6.3⠀⇛ The NuTyX team is happy to announce the new version of NuTyX 22.12.0 and cards 2.6.3. New toolchain gcc 12.2.0, glibc 2.36 and binutils 2.39. The xorg-server graphics server version 21.1.6, the Mesa 3D library in 22.2.3, Gtk4 4.8.2 and Qt 6.4.1 The python interpreter is updated to version 3.11.1. The XFCE desktop environment is updated to version 4.18.0. The MATE desktop environment is a 1.26.0 version . The GNOME desktop environment is also updated to version 43.0NuTyX GNU/Linux The KDE desktop environment is available in Plasma 5.26.4, Framework 5.101.0 and applications in 22.12.0. Available browsers are: Firefox 108.0.1, Chromium 108.0.5359.124, Epiphany 43.0, etc Many desktop applications have been updated as well like Telegram-desktop 4.1.1, Thunderbird 102.6.0, Scribus 1.5.8, Libreoffice 7.4.3.2, Gimp 2.10.32, etc. Core NuTyX ships with Long Term Support (LTS) kernels: 4.14.302, 4.19.269, 5.4.228, 5.10.160 and 5.15.84 and the latest stable version 6.0.14. o § BSD⠀➾ # ⚓ Vermaden ☛ Valuable_News_–_2022/12/19⠀⇛ The Valuable News weekly series is dedicated to provide summary about news, articles and other interesting stuff mostly but not always related to the UNIX or BSD systems. Whenever I stumble upon something worth mentioning on the Internet I just put it here. # ⚓ LWN ☛ mimmutable()_for_OpenBSD_[LWN.net]⠀⇛ Virtual-memory systems provide a great deal of flexibility in how memory can be mapped and protected. Unfortunately, memory-management flexibility can also be useful to attackers bent on compromising a system. In the OpenBSD world, a new system call is being added to reduce this flexibility; it is, though, a system call that almost no code is expected to use. [...] A call to mimmutable() will render the mapping of the len bytes of memory starting at addr immutable, meaning that the kernel will not allow any changes to either the memory protections or the mapping in that range. As a result, system calls like mmap() or mprotect() that would affect that range will, instead, fail. At first glance, mimmutable() looks similar in spirit to OpenBSD’s pledge(), which restricts the system calls that the calling process may use. But, while pledge() calls appear in numerous programs in the OpenBSD repository, mimmutable() calls will be rare indeed. Most developers lack a detailed understanding of the memory layout of their programs and are not well placed to render portions of their address space immutable, but the kernel and the linker are a different story. The details of how mimmutable() will be used are described in detail in this email from De Raadt. In simplified form, it starts when the kernel loads a new executable image; once the text, stack, and data areas have been mapped, they will be made immutable before the program even starts running. For static binaries, the C runtime will do a bit of fixup and then use mimmutable() to make most of the rest of the mapped address space immutable as well. For dynamically linked binaries, the shared-library linker (ld.so) performs a similar set of tasks, mapping each library into the address space, then making most of those mappings immutable. o § Red Hat⠀➾ # ⚓ Red Hat ☛ Automate_JBoss_Web_Server_deployment_with_the_Red Hat_Certified_Content_Collection_for_JWS_|_Red_Hat Developer⠀⇛ According to several sources we queried, more than 33 percent of the world’s web servers are running Apache Tomcat, while other sources show that it’s 48 percent of application servers. Some of these instances have been containerized over the years, but many still run in the traditional setup of a virtual machine with Linux. Red Hat JBoss Web Server (JWS) combines a web server (Apache HTTPD), a servlet engine (Apache Tomcat), and modules for load balancing (mod_jk and mod_cluster). Ansible is an automation engine that provides a suite of tools for managing an enterprise at scale. In this article, we’ll show how 1+1 becomes 11 by using Ansible to completely automate the deployment of a JBoss Web Server instance on a Red Hat Enterprise Linux 8 server. A prior article covered this subject, but now you can use the Red Hat certified content collection for JBoss Web Server, which has been available since the 5.7 release. # ⚓ Red Hat ☛ Why_we_added_restartable_sequences_support_to glibc_in_RHEL_9_|_Red_Hat_Developer⠀⇛ Restartable sequences (rseq) are a Linux feature that can maintain per-CPU data structures in userspace without relying on atomic instructions. A restartable sequence is written under the assumption that it runs from beginning to end without the kernel interrupting it and running some other code on that CPU. It can therefore access per-CPU data without further synchronization. Restartable refers to the fallback mechanism that kicks in if the kernel has to reschedule execution. In this case, control is transferred to a fallback path, which can retry the execution or use a different algorithm to implement the required functionality. It turns out that this facility is sufficient to implement a variety of algorithms using per-CPU data, especially if combined with an explicit memory barrier system call. # ⚓ Enterprisers Project ☛ 5_automation_predictions_for_2023 from_IT_leaders⠀⇛ What’s on the horizon for IT automation in the New Year? In short: Plenty more of it. Of course, the longer-form answer to that question includes more nuance and complexity than that. There are real business and technology issues driving the growth of automation through IT stacks and organizations. With that in mind, we asked various IT leaders what’s on their minds in terms of automation now and in the year ahead. Automation is, of course, a big sweeping term – and so we’re treating it as such, covering everything from containerization and orchestration to security automation to AI/ML and more. # ⚓ Enterprisers Project ☛ Top_7_leadership_books_for_2023⠀⇛ Looking to take your leadership skills to the next level in 2023? Having trouble navigating the world of hybrid and remote work? Or are you making a resolution to finally read the stack of books that’s been piling up on your desk? We’ve got you covered with our annual list of leadership must- reads. o § Debian Family⠀➾ # ⚓ DebugPoint ☛ Tails_5.8_Arrives_with_Official_Wayland Support⠀⇛ Tails, aka The Amnesic Incognito Live System, is a privacy-focussed Linux Distribution which uses the Tor network to protect you while browsing the web. Tails are based on Debian stable branch and come with many goodies such as an IRC client, Tor browser, email clients, and messengers to help you roam around on the web anonymously. At a high level, Tails 5.8 includes significant redesigns of existing features, improved usability, and strengthened security. Also, bringing modern tech aligns with the changing times and needs of the hour. This is what’s new. o § Canonical/Ubuntu Family⠀➾ # ⚓ GamingOnLinux ☛ Linux_Mint_21.1_is_out_now⠀⇛ Smelling fresh and ready to invite you in, Linux Mint 21.1 is officially out now so here’s what’s new and improved. I covered the Beta release and so of course not a whole lot apart from some bug fixes has happened since then. Now is the time to jump in though, as it’s better than ever. # ⚓ IT Pro Today ☛ Benefits_of_Using_AppImage_on_Ubuntu⠀⇛ For those looking to run software on Ubuntu, the AppImage tool provides a fast and simple way of doing so. Learn how to use AppImage on Ubuntu, step by step. o § Devices/Embedded⠀➾ # ⚓ Hackaday ☛ Chumby_Gets_New_Kernel…_Soon⠀⇛ If you missed the Chumby, we’re sorry.  They were relatively inexpensive Linux appliances that acted as a clock, Internet radio, and feed reader. The company went belly up, although there was some functionality remaining thanks to one of the founders and now, for a subscription fee, you can still keep your Chumby operating. However, [Doug Brown] bought one with the goal of using it for his own applications. But the 2.6.28 kernel is showing its age. So he decided to push a new kernel on the device. o § Mobile Systems/Mobile Applications⠀➾ # ⚓ Make Use Of ☛ Should_You_Restore_Your_Data_to_a_New_Android Phone_or_Set_It_Up_From_Scratch?⠀⇛ # ⚓ TechRadar ☛ Google_Chrome_and_Android_drop_TrustCor_support following_privacy_scare_|_TechRadar⠀⇛ # ⚓ 2022′s_Best_Android_Games,_According_to_Redditor⠀⇛ # ⚓ XDA ☛ Android_14_may_come_with_updatable_root certificates⠀⇛ # ⚓ GSM Arena ☛ Realme_9_Pro_and_9i_5G_get_Android_13-based Realme_UI_4.0_update,_X7_Max_gets_open_beta_–_GSMArena.com news⠀⇛ # ⚓ Neowin ☛ Google’s_Android_13_broke_Microsoft_Intune_on Samsung_phones,_fix_available_–_Neowin⠀⇛ # ⚓ SamMobile ☛ Samsung_Galaxy_S20_FE_units_in_the_US_start getting_Android_13_update_–_SamMobile⠀⇛ # ⚓ SamMobile ☛ Google_enables_Matter_on_all_Android_devices, including_Samsung’s_–_SamMobile⠀⇛ # ⚓ Android Authority ☛ 15_best_Android_apps_released_in_2022_– Android_Authority⠀⇛ # ⚓ Express ☛ Terrifying_Android_bug_may_stop_you_downloading another_app_ever_again_|_Express.co.uk⠀⇛ # ⚓ Beta News ☛ Running_Kodi_20_‘Nexus’_on_Android?_You_need_to make_this_important_change_to_access_your_content⠀⇛ # ⚓ Make Tech Easier ☛ How_to_Do_a_Reverse_Image_Search_From_an Android_Phone_–_Make_Tech_Easier⠀⇛ Doing a reverse image search on Android is possible if you have the right tools. This post walks you through the options. * § Free, Libre, and Open Source Software⠀➾ o § Web Browsers/Web Servers⠀➾ # § Mozilla⠀➾ # ⚓ Tor ☛ Resistance,_Change,_and_Freedom:_Reflecting_on 2022⠀⇛ Every end of year calls for reflection. In 2022, censorship and control of information has increased all around the world. I’m thinking about how we’ve seen setbacks in the world’s fight for human rights coming from all directions, like the wave of attacks on reproductive rights that has placed millions of people at risk, and how privacy and freedom online have been critical lifelines for many. In the midst of these setbacks, 2022 has also been a year of resistance. In the Tor world, we’re currently resisting a DDoS attack on the Tor network. During the time we have been working hard to protect the network and mitigate the impact of this attack, organizations and supporters have come together to demonstrate their support for Tor. Our community has raised awareness about the issue and collectively contributed necessary funds to hire more developers for our network team. # ⚓ Tor ☛ New_Alpha_Release:_Tor_Browser_12.5a1_(Android, Windows,_macOS,_Linux)⠀⇛ Tor Browser 12.5a1 is now available from the Tor Browser download page and also from our distribution directory. Tor Browser 12.5a1 updates Firefox on Android, Windows, macOS, and Linux to 102.6.0esr. o § Education⠀➾ # ⚓ Times Higher Education ☛ Eliminating_harmful_digital technologies_in_universities:_a_guide⠀⇛ Modern institutions are rife with tech that disenfranchises, dehumanises, excludes and even bullies students and teachers. It’s high time for a rethink, says Andy Farnell o § Programming/Development⠀➾ # ⚓ Qt ☛ Deploying_to_Linux_with_CMake⠀⇛ A while ago, I blogged about our CMake deployment API that allows you to enhance the cmake –install step with instructions that deploy Qt libraries, plugins and assets. At the time of writing, Linux was not supported yet. But not anymore: Qt 6.5 comes with deployment support for Linux! # ⚓ Linux Shell Tips ☛ Static_vs_Dynamic_Libraries_–_What’s_the Difference?⠀⇛ Static libraries and dynamic libraries comprise a group of compiled object files. An object file results from the compilation of a C program. The object files are used for multiple programs. Static and dynamic libraries share a common purpose, which is to provide reusable code and data that are shareable with different programs. # § Python⠀➾ # ⚓ LWN ☛ The_return_of_lazy_imports_for_Python_ [LWN.net]⠀⇛ Back in September, we looked at a Python Enhancement Proposal (PEP) to add “lazy” imports to the language; the execution of such an import would be deferred until its symbols were needed in order to save program- startup time. While the problem of startup time for short-running, often command-line- oriented, tools is widely acknowledged in the Python community, and the idea of deferring imports is generally popular, there are concerns about the effect of the feature on the ecosystem as a whole. Since our article, the PEP has been revised and discussed further, but the feature was recently rejected by the steering council (SC) because of those concerns; that has not completely ended the quest for lazy imports, however. * § Leftovers⠀➾ o ⚓ Scheerpost ☛ Liz_Theoharis:_The_Sleeping_Giant_of_American_Life⠀⇛ At a grassroots level, those disturbed by a changing America might begin to respond and create a new kind of democracy. o ⚓ Common Dreams ☛ Opinion_|_Should_We_Call_2022_the_‘Year_of_the Workers’?⠀⇛ ‘Tis the season of sugar plums and gift-giving—including the time that Time magazine hands out its somewhat pompous annual “Person of the Year” award. o ⚓ Techdirt ☛ City_Of_Phoenix_Engages_In_Insane_Protectionism_On Behalf_Of_The_NFL⠀⇛ We’re a tad early for our annual season in which we point out that the NFL likes to play make believe as to its trademark rights for the Super Bowl. You can go read through the history of our posts on the topic, but essentially the NFL seems to think that its trademark rights allow it to control more strictly any commercial operations’ mere mention that this game exists than it actually can. The First Amendment is a thing, you see, and trademarks cannot keep every business from mentioning any reference to the Super Bowl without the NFL’s permission. Certainly it can pick official sponsors and exert some control over whether businesses can suggest an association with the league or the game, but it cannot, for instance, tell a local bar that it can’t tweet out a special on drinks during the Super Bowl on game day. o ⚓ Hackaday ☛ 2022_FPV_Contest:_The_LOTP_Robot_Dog⠀⇛ When you think of first person view (FPV) vehicles, aircraft might be what first comes to mind. However, [Limenitis Reducta] has brought a robot dog into the world, and plans to equip it for some FPV adventures. o ⚓ The Nation ☛ What_Qatar’s_World_Cup_Tells_Us_About_the_World_in 2022⠀⇛ Imagine that the BBC chose to ignore the opening ceremony of the 2026 World Cup hosted by Canada, Mexico, and the United States, and to instead devote an hour of programming to the moral—and physical—hazards of staging a part of that tournament in the US. o ⚓ The Nation ☛ The_Most_Dangerous_Architect_in_America⠀⇛ In the last decades of his life, the great Modernist architect Gregory Ain stopped designing buildings. Following a brief tenure as the dean of Pennsylvania State University’s School of Architecture, he is reported to have had a nervous breakdown. He returned home to Los Angeles at the age of 60 and moved into an apartment in Silver Lake designed by Rudolph Schindler, his former mentor, colleague, and friend; later, he would transition to Sunset Hall, a retirement community known for housing aging communists and leftists. It was not lost on Ain that the scholars who came to interview him at either location were generally not there to discuss his legacy but that of other practitioners, such as Schindler and Richard Neutra, with whom Ain had worked before establishing his own firm in the mid-1930s. The architecture critic Esther McCoy wrote that in his retirement, Ain—who despite a commitment to anti- capitalist politics had once indulged in collecting cars—“bought a bicycle” and “haunted bookstores.” Yet even in his state of diminished productivity, his inspiration was not extinguished. As McCoy wrote, “The Roman candles still burst from his mind.” o ⚓ The Nation ☛ An_Unpublished_Poem_by_Paul_Newman⠀⇛ In 1995, The Nation was bought by a group of investors, including E.L. Doctorow, Victor Navasky, and my father, Paul Newman. A longtime reader of the magazine and sometime contributor, he understood the responsibility of having a public voice and chose his words carefully. o § Education⠀➾ # ⚓ Pro Publica ☛ This_School_District_Is_Ground_Zero_for_Harsh Discipline_of_Native_Students_in_New_Mexico⠀⇛ One chilly March afternoon, dozens of Navajo children spilled out of their middle school to play in the snow before heading home. Students in jackets and parkas can be seen on grainy security camera footage chasing and pushing one another to the ground. Are you part of the Gallup-McKinley County Schools community? We’d like to hear from you. # ⚓ Pro Publica ☛ How_We_Measured_Disparities_in_New_Mexico School_Discipline⠀⇛ o § Hardware⠀➾ # ⚓ CNX Software ☛ DROPLET_irrigation_system_works_with_ESPhome and_Home_assistant_–_CNX_Software⠀⇛ When PricelessToolkit failed to find an affordable (indoor) irrigation system that works with Home Assistant and ESPHome, he built the DROPLET board based on ESP32 wireless SoC and supporting up to five micro-pumps and soil moisture sensors. The board also comes with switches to manually control the pump, a built-in DS18B20 temperature sensor, a buzzer, and a I/O header to connect an expansion header for relay control, I2C, GPIOs, and an external DS18B20 temperature sensor. # ⚓ Hackaday ☛ A_Modern_Tribute_To_The_Classic_HP-16C Calculator⠀⇛ The HP-16C Computer Scientist is much beloved as the only dedicated programmer’s calculator that Hewlett-Packard ever made. Most surviving examples in the world are well-used, and you haven’t been able to order one from HP since 1989. Thus, [K Johansen] set about building a tribute to the HP- 16C using modern hardware. # ⚓ Hackaday ☛ Sliding_Wrench_Leaves_A_Little_To_Be_Desired⠀⇛ [Ben Conrad] received an interesting tool as a gift that purported to be a better mousetrap. It was a crescent wrench (made by the Crescent company, even) that didn’t have a tiny adjusting wheel like a traditional wrench. Instead, it had a slide running down the length of the handle. The idea is that you would push the slide to snug the wrench jaws against the bolt or nut, and that would be fast and easy compared to a conventional wrench. As [Ben] notes, though, it doesn’t work very well. Most of us would have just dumped it in the back of the tool chest or regifted it. [Ben] tore his apart to find out what was wrong with it. # ⚓ Hackaday ☛ LED_Christmas_Lights_Optimized_For_Max Twinkleage⠀⇛ Old-school filament-based Christmas lights used to be available in twinkling form. LEDs, with their hard-on and hard-off nature, aren’t naturally predisposed to such behavior. To rectify this, some time ago, [Mark Kriegsman] built an Arduino program that makes LEDs twinkle beautifully. # ⚓ Hackaday ☛ 3D_Printed_Light_Pipe_Turns_Overly-Bright_LED Into_Design_Harmony⠀⇛ There are a number of ways to efficiently and elegantly limit an LED’s brightness, but [Tommy] found that using a light pipe or diffuser can integrate better with a device, especially when the device itself is mostly 3D printed in the first place. o § Health/Nutrition/Agriculture⠀➾ # ⚓ Common Dreams ☛ ‘Huge_Win’:_Court_Finds_EPA_Approval_of Bee-Killing_Sulfoxaflor_Unlawful⠀⇛ In a major victory for pollinators and other wildlife, the U.S. Court of Appeals for the 9th Circuit on Wednesday ruled that the U.S. Environmental Protection Agency’s registration of the bee-killing insecticide sulfoxaflor is unlawful. In response to a legal challenge brought by the Center for Food Safety and the Center for Biological Diversity, the court argued that the EPA’s 2019 decision authorizing the expanded use of sulfoxaflor across more than 200 million acres of pollinator-attractive crops violated the Endangered Species Act (ESA). The court gave the agency 180 days to collect public comment and issue a new decision on the insecticide, which is produced by Corteva, formerly Dow AgroSciences. # ⚓ Common Dreams ☛ Study_Shows_Medicaid_Expansion_Rejected_by GOP_Increased_Cancer_Survival_in_Other_States⠀⇛ As Congress prepares to boot millions of people off of Medicaid, landmark research published this week revealed that expansion of the government healthcare program—which some GOP decision-makers have blocked in their states—is tied to higher cancer survival for adults under 40. “Our study shows a survival benefit of Medicaid expansion under the Affordable Care Act for young adult patients with cancer.” # ⚓ The Nation ☛ Big_Pharma_Wants_to_Own_Your_DNA_Info⠀⇛ In recent years, ads from companies such as 23andMe and AncestryDNA have become a staple on television and social media. They promise customers a chance to find out family secrets through DNA collection. What’s rarely emphasized is that the real DNA data gold mine is selling the information gathered by customers to big pharma, which can then be better positioned to sell its products. # ⚓ The Nation ☛ The_Anti-Abortion_Myth_Haunting_the_Pro-Choice Movement⠀⇛ “Abortion is a popular issue” has been a common refrain in the airwaves as pundits and politicians recount the winners and losers of the midterm elections. Abortion was certainly a motivating factor for voters, who backed ballot measures protecting abortion access in five very politically different states. # ⚓ Hackaday ☛ Blood_Pressure_Monitoring,_Courtesy_Of_Cameras And_AI⠀⇛ At the basic level, methods of blood pressure monitoring have slowly changed in the last few decades. While most types of sphygmomanometer still rely on a Velcro cuff placed around the arm, the methodology used in measurement varies. Analog mercury and aneroid types still abound, while digital blood pressure monitors using electrical sensors have become mainstream these days. # ⚓ Counter Punch ☛ Our_Health_Care_System_is_Broken…Fixing_It is_Not_Hard⠀⇛ Take the current shortage of antibiotics and other medications. Axios reported that “Parents have been calling [pharmacies and other health care providers], distraught over the trouble they’ve had securing everything from Children’s Tylenol to amoxicillin to Tamiflu.” Hospitals are also running out of drugs. The reason for this is that the pharmaceutical industry, which operates adjacent to the health care industry, functions on thin margins, producing just enough inventory based on projections in order to maximize profits and not overproduce items that may remain unsold. But when a crisis hits, the projected supply is outstripped by demand. Another example is that of Ascension, a company most of us have never heard of but one that the New York Times described as “one of the country’s largest health systems.” Although it is technically a nonprofit company, Ascension operates like a for- profit corporation, cutting costs by cutting staff. This has left existing staff overstretched and exhausted, leading to mass resignations of nurses and other medical staff. According to the Times, “When the pandemic swamped hospitals with critically ill patients, their lean staffing went from a financial strength to a glaring weakness.” o § Proprietary⠀➾ # ⚓ The Record ☛ Guardian_newspaper_hit_by_suspected_ransomware attack,_staff_told_not_to_come_to_office_–_The_Record_by Recorded_Future [Ed: Microsoft Windows TCO]⠀⇛ Staff at The Guardian newspaper have been told not to come into the office and to work from home for the rest of the week due to a suspected ransomware attack which struck late on Tuesday. The attack has impacted a number of business services at the 200-year-old news organization, but not its online site and apps which will continue to publish stories. An email sent to The Guardian’s employees on Wednesday and seen by The Record tells staff: “The issues affecting Kings Place, the VPN, and the wires are ongoing, and our IT and engineering teams are working to resolve them.” It is not yet clear what if any data the attackers may have accessed or stolen, but the sensitive information held on newsroom systems could cause a significant data protection breach if one has taken place, alongside potentially exposing sources. # ⚓ Data Breaches ☛ Guardian_newspaper_hit_by_suspected ransomware_attack,_staff_told_not_to_come_to_office⠀⇛ o § Security⠀➾ # ⚓ Bleeping Computer ☛ Microsoft_pushes_emergency_fix_for Windows_Server_Hyper-V_VM_issues [Ed: Proprietary hypervisor with NSA_back_doors_(Microsoft_Windows)]⠀⇛ Microsoft has released emergency out-of-band (OOB) Windows Server updates to address a known issue breaking virtual machine (VM) creation on Hyper- V hosts after installing this month’s Patch Tuesday updates. # ⚓ Techdirt ☛ Anker_Highlights_What_Not_To_Do_When_Your_Crappy Security_Standards_Are_Exposed⠀⇛ A few weeks ago, The Verge discovered that Anker, the maker of popular USB chargers and the Eufy line of “smart” cameras, had a bit of a security issue. Despite the fact the company advertised its Eufy cameras as having “end-to-end” military-grade encryption, security researcher Paul Moore and a hacker named Wasabi found it was pretty easy to intercept user video streams. # ⚓ Techdirt ☛ Stalkerware_Banned_By_The_FTC_Is_Still_Doing Plenty_Of_Stalking_And_Spying⠀⇛ There are all kinds of stalkerware out there. Some of it is actually deployed by government entities — like the spyware that infests computers used by remote workers and school students. Some of it is deployed by parents led to believe that if they don’t shoulder surf by proxy, their kids will become the sort of degenerates that actively wonder where they’ll get their next First Amendment fix. # § Privacy/Surveillance⠀➾ # ⚓ EFF ☛ California_Courts_Must_Protect_Data_Privacy⠀⇛ California’s standing rules are different, and far more protective. But a recent state appeals court decision may change those rules, closing the courthouse doors to victims of corporate violations of data privacy laws. This week, EFF filed an amicus letter with the California Supreme Court, urging it to review that decision and keep those doors open. Our co-amicus is the Electronic Privacy Information Center (EPIC), and we had assistance from Hunter Pyle Law and Feinberg, Jackson, Worthman & Wasow. The case, called Limon v. Circle K Stores, alleges the company violated the federal Fair Credit Reporting Act (FCRA), by presenting a prospective employee with a confusing request for “consent” to run a background check on them. The plaintiff initially sued the company in federal court, but the case was dismissed under federal standing doctrine. The plaintiff then sued the company in California state court, but the case was dismissed again. Worse, when a California appellate court affirmed this dismissal, it imported restrictive federal standing requirements into California’s law. The plaintiff is asking the California Supreme Court to take another look and fix this dangerous mistake. EFF has filed many amicus briefs in federal court in favor of broad standing to bring data privacy lawsuits. So has EPIC. A recurring question in federal court is whether the plaintiff’s injury is sufficiently “concrete” to satisfy the U.S. Constitution’s limit of federal litigation to “cases and controversies.” It should be enough to suffer a deprivation of one’s legal right to data privacy, without having to prove more, such as an economic or physical injury. After all, American law has historically recognized causes of action for the loss of control over what other people know about us, including claims against intrusion upon seclusion and publication of private facts. # ⚓ Techdirt ☛ Chicago_PD_Is_A_Fan_Of_Encryption,_As_Long As_It_Means_Keeping_Info_Out_Of_The_Public’s_Hands⠀⇛ Back in 2014, the Chicago PD’s chief of detectives had this to say about Apple’s plan to roll out device encryption by default… o § Defence/Aggression⠀➾ # ⚓ JNS ☛ Palestinians_in_Samaria_inflict_‘irreparable_damage’ to_heritage_site⠀⇛ The Samaria Regional Council, which exposed the vandalism, reacted harshly to the repeated attacks on the site. Yossi Dagan, head of the council, defined it as the eradication of the Jewish heritage: “The Israeli government has forsaken the Jewish nation’s most important heritage sites. It is unacceptable that rioters are vandalizing the Jewish nation’s history in the heart of the State of Israel. This is an attack on Israel’s heritage. This is irreparable damage,” he said. # ⚓ Yorkshire Live ☛ Popular_Dewsbury_pub_to_become_Islamic education_centre⠀⇛ A once-thriving Dewsbury pub is set to be turned into an Islamic education centre and prayer room. # ⚓ Common Dreams ☛ Pentagon_Blows_Deadline_to_Explain_US_Role in_Nigerian_Airstrike_That_Killed_160_Civilians⠀⇛ The Pentagon’s stated commitment to transparency on civilian casualties was questioned Tuesday in an Intercept report noting that the Department of Defense has failed to respond to a group of House Democrats who set a three-month deadline to explain the U.S. military’s role in a 2017 Nigerian airstrike that killed more than 160 noncombatants. “It sends a worrisome message that, at minimum, the Defense Department is unwilling to engage on an issue affecting countless lives.” # ⚓ Common Dreams ☛ 1,000+_US_Faith_Leaders_Call_for_‘Christmas Truce’_and_Ceasefire_in_Ukraine⠀⇛ Taking inspiration from the storied holiday fighting pause in the early months of the First World War, more than 1,000 faith leaders in the United States have signed onto a statement calling for a Christmas truce and ceasefire in Ukraine in the hopes that such a gesture would open the door to substantive diplomatic negotiations. “As people of faith and conscience, believing in the sanctity of all life on this planet, we call for a Christmas Truce in Ukraine,” reads the statement, which was signed by Bishop William J. Barber II, Rev. Jesse Jackson, Dr. Cornel West, Rev. Liz Theoharis, Rabbi Arthur Waskow, Sikh leader Valarie Kaur, and hundreds of other religious leaders representing believers from every major tradition. # ⚓ Common Dreams ☛ Spurred_by_Russian_Invasion_of_Ukraine, Solar_Soars_by_50%_in_EU:_Report⠀⇛ Driven significantly by dramatically reduced fossil fuel imports following Russia’s invasion of Ukraine, solar production soared nearly 50% in the European Union this year—with even greater growth forecast for 2023, a report published this week by an industry group revealed. “We’re building a secure, green, prosperous Europe on a foundation of solar.” # ⚓ Common Dreams ☛ During_Zelenskyy_Visit,_Biden_to_Unveil_$2 Billion_Military_Package_That_Includes_Patriot_Missiles⠀⇛ The Biden administration is expected to announce a roughly $2 billion military assistance package for Ukraine on Wednesday—one that includes Patriot missile systems and misleadingly named “precision bomb kits”—as the war-ravaged nation’s president visits Washington, D.C. in his first trip outside of his country since the start of Russia’s invasion 10 months ago. Ukrainian President Volodymyr Zelenskyy is set to meet with U.S. President Joe Biden at the White House to accept the latest aid package, which comes on top of the nearly $45 billion in assistance Congress is poised to approve as part of its year- end omnibus spending bill. Later Wednesday, Zelenskyy is expected to speak to the press and deliver a primetime address to a joint session of Congress. # ⚓ TruthOut ☛ Washington_Preps_for_Visit_From_Ukraine President_Volodymyr_Zelenskyy_This_Week⠀⇛ # ⚓ Meduza ☛ State_Duma_adopts_law_to_pause_court_proceedings and_enforcement_action_against_troops_serving_in_Ukraine_— Meduza⠀⇛ The deputies of the State Duma have passed in third reading a bill to pause legal proceedings and the enforcement of sentences against Russian troops serving in Ukraine. The deferral applies to mobilized troops, army volunteers, and contract soldiers, as explained in the announcement on the official Duma website. # ⚓ Meduza ☛ Wagner_mercenary_group_founder_Evgeny_Prigozhin makes_recruitment_trip_to_prison_housing_opposition politician_Alexey_Navalny_—_Meduza⠀⇛ Evgeny Prigozhin, founder of the Wagner private military company (PMC), visited the high-security penal colony in Russia’s Vladimir region where opposition politician Alexey Navalny is serving a nine-year prison sentence. The purpose of Prigozhin’s trip, according to Navalny, was to recruit prisoners to serve as mercenaries in Russia’s war against Ukraine. # ⚓ Meduza ☛ ‘Conscript_resources’_Why_Putin_and_Shoigu_want_to reform_Russia’s_semi-annual_draft_—_and_what_it_could_mean for_Russian_citizens_—_Meduza⠀⇛ # ⚓ Meduza ☛ A_humble_military_wife_How_a_top_Russian_army official_converted_Mariupol’s_misery_into_a_luxury_lifestyle for_his_spouse_—_Meduza⠀⇛ Alexey Navalny’s investigative team has published a new exposé of corruption in the upper echelons of Russian power. This time, the story revolves around Svetlana Ivanova — a well-known lioness of the Russian beau monde since the turn of the millennium, who left her first husband to marry, back in 2009, Russia’s now Deputy Defense Minister Timur Ivanov. In the years since, Ivanov has distinguished himself by overseeing the Defense Ministry’s construction contracts and, it turns out, converting profits from projects like the Russia’s “reconstruction” of Mariupol into a spectacular lifestyle for Svetlana. Last summer, in advance of the EU sanctions against Ivanov, Timur and Svetlana divorced. The only practical consequence of the divorce, however, is that she continues to travel freely around Europe, while her “ex-husband” cannot. # ⚓ Meduza ☛ Changing_armies_in_midstream_Why_would_Putin_and Russia’s_defense_minister_want_to_restructure_the_military during_a_war?_Meduza_explains._—_Meduza⠀⇛ At a Defense Ministry Board meeting on December 21, Russian Defense Minister Sergey Shoigu announced several structural reforms to the Russian army. Among other things, the reforms will change who is subject to conscription under Russia’s universal (with many exceptions) mandatory military service, raising the eligibility age range from 18–27 to 21–30. The reforms will also increase the maximum size of Russia’s army by 490,000 people, and they’ll make it possible for those who are conscripted to sign up immediately as contract soldiers (a different classification of military service, which pays soldiers relatively well, but dramatically increases the chances they’ll be sent into combat). Meduza unpacks Shoigu’s announcement to explain why now, what the Russian army hopes to get out of the changes, and what it all means for draft-age men in Russia. # ⚓ Counter Punch ☛ How_Organized_Crime_Plays_a_Key_Role_in_the Ukrainian_Conflict⠀⇛ Organized crime emerged as a potent force in Ukraine after the Soviet Union collapsed in 1991. Criminal groups exploited flawed economic privatization measures to amass significant economic power, while the collapse of the Soviet security state allowed armed criminal factions to replace government authority and entrench themselves permanently. These developments were mirrored in many former Soviet states in the 1990s, including Russia. But after Vladimir Putin assumed the Russian presidency in 2000, he and his allies in Russia’s intelligence community reestablished a strong security apparatus and clamped down on many domestic organized crime syndicates. o § Transparency/Investigative Reporting⠀➾ # ⚓ Scheerpost ☛ Who’s_Afraid_of_the_Big_Bad_Twitter_Files?⠀⇛ Just because the mainstream media decided to ignore them doesn’t mean the files aren’t newsworthy—or important. # ⚓ Techdirt ☛ Finally!_An_Interesting_Twitter_Files_That Appears_To_Reveal_Sketchy_Government_Behavior⠀⇛ We finally have an interesting edition of the Twitter files! o § Environment⠀➾ # ⚓ The Revelator ☛ Our_Favorite_Environmental_Books_of_2022 ⠀⇛ # ⚓ FAIR ☛ ‘The_Oil_Companies_Are_the_Reason_We_Don’t_Have Climate_Policy’⠀⇛ Janine Jackson interviewed the Center for Climate Integrity’s Richard Wiles about the lies of the fossil fuel industry for the December 16, 2022, episode of CounterSpin. This is a lightly edited transcript. # ⚓ Democracy Now ☛ Major_U.N._Biodiversity_Deal_Recognizes Indigenous_Rights_But_Lacks_Critical_Enforcement_Measures⠀⇛ More than 190 countries agreed Monday on a plan to preserve 30% of the planet’s lands and waters by 2030 in order to protect biodiversity, which is rapidly declining due to human activity. The agreement was reached at a United Nations biodiversity conference in Montreal, Canada, known as COP15. The United States did not formally participate in negotiations because it is not a signatory to the U.N. Convention on Biological Diversity. The landmark agreement seeks to halt the Earth’s sixth major mass extinction event, and Indigenous communities will have an increased role in protecting wildlife as part of the deal. For more on the historic agreement, we speak with Leila Salazar-López of Amazon Watch and Eriel Tchekwie Deranger with Indigenous Climate Action. # ⚓ DeSmog ☛ Sowing_Doubt:_How_Big_Ag_is_Delaying_Sustainable Farming_in_Europe⠀⇛ In the spring of 2020, the European Union announced an ambitious plan to overhaul farming practices in fields and valleys across the continent. Named Farm to Fork, it calls for less fertiliser and pesticide use, and more organic production. Veteran sustainable food and farming experts welcomed the strategy as one that just might have a genuine shot at transforming the agriculture sector and result in better public health, contribute to ending the vertiginous decline of biodiversity, and lower greenhouse gas pollution. # § Energy⠀➾ # ⚓ Democracy Now ☛ U.S.-Venezuelan_Relations_Thaw_After Years_of_Harsh_Sanctions_Helped_Worsen_Economic_& Migrant_Crisis⠀⇛ The Biden administration recently moved to ease some sanctions on Venezuela and gave Chevron the green light to resume oil production in Venezuela. Venezuela has faced a years-long economic crisis in part due to harsh U.S. sanctions. Miguel Tinker Salas joins us to discuss shifting U.S.-Venezuelan relations, as well as their impacts on Venezuelan migrants to the U.S. # ⚓ Common Dreams ☛ Markey_Asks_Biden_to_Draft_Plan_for Ending_Public_Funding_of_Overseas_Fossil_Fuel Projects⠀⇛ U.S. Sen Ed Markey on Wednesday led a group of upper chamber lawmakers who urged the Biden administration “to fulfill its commitment in the Glasgow Statement by publicly releasing a plan for ending public financing of unabated international fossil fuel projects by the end of 2022.” “To date, the United States has not made public its plan for meeting these pledges by the end of the year.” # ⚓ TruthOut ☛ Pennsylvania_Lets_Polluter_Resume_Drilling in_Protected_Zone_After_Plea_Deal⠀⇛ # ⚓ Common Dreams ☛ EU_Approves_Germany’s_$30_Billion Green_Energy_Plan⠀⇛ The European Commission on Wednesday approved the German government’s €28 billion ($29.69 billion) plan to rapidly expand clean energy production. According to Reuters: “The scheme pays a premium to renewable energy producers, on top of the market price they receive for selling their power. Small generators can receive a feed-in-tariff providing a guaranteed price for their electricity.” # ⚓ DeSmog ☛ A_Window_into_Louisiana’s_Continued_Embrace of_the_Fossil_Fuel_Industry⠀⇛ I live in South Louisiana on the front lines of the climate crisis and cover the fossil fuel industry and impacts related to the warming planet, so facing gaslighting is a regular occurrence for me.  So it resonated with me that Merriam- Webster dictionary chose “gaslighting” as the word of the year. This year saw a 1,740 percent increase in lookups for gaslighting, according to a post by the dictionary company, which defines gaslighting as “the act or practice of grossly misleading someone especially for one’s own advantage.” I would add to that, that gaslighting is a driver of disorientation and mistrust, and a common practice used by the fossil fuel industry — one that DeSmog is committed to countering by drawing connections to those funding misinformation.  # § Wildlife/Nature⠀➾ # ⚓ Counter Punch ☛ Governor_Gianforte’s_War_on Wildlife⠀⇛ In Montana, less than 1% of the people in the state actually trap wildlife. There is no money to be made, fur prices are at all-time lows and it is a barbaric practice. But our Governor sees trapping as something to preserve and fight for, despite the fact that every year people are injured and family pets are killed, not to mention the 150,000 innocent animals that are caught in traps, which like land mines, dominate our public lands, without signs or warnings. But it goes far beyond trapping; our Governor has made a war on wolves’ part of his personal mission. Wolves are being slaughtered in Montana, with traps, guns and arrows. Bait is being placed on the border of Yellowstone to draw wolves out of the park to their death. o § Finance⠀➾ # ⚓ Counter Punch ☛ Can_We_Talk_Sensibly_about_Inequality_and Ignore_the_Rich?⠀⇛ # ⚓ Scheerpost ☛ A_Year_of_Record-Breaking_Global Displacement⠀⇛ Farrah Hassen reports that 2022 was sadly the first year to see over 100 million people displaced worldwide # ⚓ TruthOut ☛ “A_Giveaway_to_the_Rich”:_Progressives_Slam Omnibus_Retirement_Provisions⠀⇛ # ⚓ Common Dreams ☛ Opinion_|_Congress_Decides_Corporate_Tax Cuts_Are_Too_Expensive_If_It_Means_Also_Helping_Children⠀⇛ Late Monday afternoon, Congressional leaders announced their long-awaited omnibus spending package which will fund the government through September 2023. The good news: the bill does not include needless corporate tax giveaways. The bad news: it also leaves out any expansion of the Child Tax Credit. # ⚓ Common Dreams ☛ Omnibus_Spending_Bill_Boosts_School Lunches—By_Cutting_Pandemic-Era_SNAP_Benefits⠀⇛ Anti-hunger advocates and economists are lauding the permanent food assistance program for children in summer months—included in the $1.7 trillion spending package unveiled Tuesday—as an historic victory in the fight against food insecurity, while also noting that the funding mechanism for the plan will sharply reduce federal pandemic-era food benefits for people across the country. The omnibus spending legislation that’s being debated by the U.S. Senate Wednesday would create a “Summer Electronic Benefit Transfer” (EBT) debit card program for low-income families, providing a monthly $40 per child grocery benefit that would be adjusted for inflation over time. # ⚓ Common Dreams ☛ Top_Democrat_Suggests_Trump_Tax_Returns Resemble_‘Those_of_Many_Other_Wealthy_Tax_Cheats’⠀⇛ The Democratic chair of the Senate Finance Committee said Wednesday that former President Donald Trump’s tax returns—portions of which a House panel has voted to make public—likely resemble those of many other wealthy people in the United States who use accounting gimmicks to lower their tax bills or avoid taxes altogether. In a statement, Sen. Ron Wyden (D-Ore.) said that “Donald Trump’s tax returns exemplify the shortcomings of our tax code and consequences of Republicans’ decadeslong fight to gut the [Internal Revenue Service].” # ⚓ Common Dreams ☛ Opinion_|_Media_Falsely_Prescribes_Pain_to Workers_as_Only_Solution_to_Inflation⠀⇛ Federal Reserve chair Jerome Powell is profit’s prophet and the corporate media are his cultish devotees, joining hands to sacrifice working people. In this cult, profit is sacrosanct. # ⚓ TruthOut ☛ US_Multimillionaires’_Wages_Rose_in_2021,_While Bottom_90_Percent_Got_Pay_Cut⠀⇛ # ⚓ Common Dreams ☛ Fueling_Inequality,_Earnings_of_Top_0.1%_in US_Have_Soared_by_465%_Since_1979:_Analysis⠀⇛ A new analysis released Wednesday shows that earnings inequality in the United States has risen dramatically over the past four decades and continues to accelerate, with the top 0.1% seeing wage growth of 465% between 1979 and 2021 while the bottom 90% experienced just 29% growth during that same period. “This growing inequality isn’t inevitable—it is a result of policy choices to reduce worker power.” o § AstroTurf/Lobbying/Politics⠀➾ # ⚓ New York Times ☛ Why_Petulant_Oligarchs_Rule_Our_World⠀⇛ In the end, Musk and Bankman-Fried may end up doing a public service, by tarnishing the legend of the genius entrepreneur, which has done a great deal of harm. For now, however, Musk’s Twitter antics are degrading what had become a useful resource, a place some of us went for information from people who actually knew what they were talking about. And a happy ending to this story seems increasingly unlikely. Oh, and if this column gets me banned from Twitter — or if the site simply dies from mistreatment — you can follow some of what I’m thinking, along with the thoughts of a growing number of Twitter refugees, at Mastodon. # ⚓ Telex (Hungary) ☛ Orbán_on_2022:_In_the_end,_we_were_on_our own⠀⇛ # ⚓ Common Dreams ☛ Human_Rights_Group_Condemns_Republican_Gov. for_Further_Militarizing_Texas-Mexico_Border⠀⇛ A human rights group on Wednesday denounced Republican Texas Gov. Greg Abbott for pulling “another political, inhumane stunt” by deploying National Guard troops to El Paso and “further militarizing the southern border, terrorizing border residents and vulnerable migrants.” The Border Network for Human Rights (BNHR) was referring to Abbott’s decision to use “state resources to promote a racist, anti-refugee, xenophobic agenda” after Democratic El Paso Mayor Oscar Leeser declared a state of emergency last Saturday in an effort to prevent unhoused asylum- seekers from freezing to death. # ⚓ Telex (Hungary) ☛ Hungarian_Academy_of_Sciences_demands reinstatement_of_fired_teachers⠀⇛ # ⚓ TruthOut ☛ FBI_Agents_Worried_About_Trump’s_Presence_at Mar-a-Lago_During_Search_—_Report⠀⇛ # ⚓ Common Dreams ☛ Key_Democratic_Campaign_Firms_Ditch_Newly Independent_Sen._Sinema⠀⇛ While U.S. Sen. Kyrsten Sinema has declined to say whether she’ll run in 2024 since leaving the Democratic Party earlier this month, political consultants are already making plans, with some firms now declining to work with the Arizona Independent, HuffPost revealed Wednesday. “Consequences for Kyrsten Sinema? Finally.” # ⚓ Common Dreams ☛ Opinion_|_In_2022,_Seniors_Voted_to_Protect Social_Security⠀⇛ What were the most important issues for swing voters in this year’s midterm elections? You probably won’t be surprised to hear that two of them were abortion and inflation. The third, which got far less media attention, was Social Security and Medicare. # ⚓ TruthOut ☛ Trader_Joe’s_in_Louisville_Seeks_to_Become_Third Location_to_Unionize⠀⇛ # ⚓ Common Dreams ☛ Biden_Admin_Opens_First-of-Its-Kind_Civil Rights_Probe_Into_Book_Banning_in_Texas_Schools⠀⇛ The Biden administration is conducting a first-of- its-kind federal investigation into book banning by a school district, stepping up its response to nationwide right-wing attacks on LGBTQ+ people and the libraries and schools that seek to create a welcoming environment for the community. “By choosing to open this investigation in response to our complaint, the federal government is signaling that remedying discrimination against LGBTQIA+ students is a top priority.” # ⚓ Techdirt ☛ Why_Would_Anyone_Use_Another_Centralized_Social Media_Service_After_This?⠀⇛ So, it’s been quite a year for legacy, centralized social media — and all without any really big change to the laws that govern it (yet — the EU’s are coming into force shortly, but possibly too late to matter). Meta seems to be collapsing into its own gravity. Twitter has been taken over by the equivalent of a stoned ChatGPT (very confident, but very wrong) and seems to be rapidly driving the company off a cliff. Turns out maybe we didn’t need antitrust reform: we just needed two obscenely rich tech CEOs to be totally out of touch with humanity. # ⚓ The Nation ☛ Conspiracy_Theories_Aren’t_the_Only_Thing Motivating_Far-Right_Voters⠀⇛ Arizona is ground zero for the wackiest theories and craziest political candidates. # ⚓ The Nation ☛ A_Far-Right_Israel_Is_Zionism_Without_the Frills⠀⇛ Since its founding, political Zionism has had two distinct and contradictory personas. One portrayed it as a national liberation movement that was liberal, democratic, tolerant, and inclusive. This was the face its adherents saw when they looked in the mirror, and it was how they wanted to be seen by the rest of the world. # ⚓ The Nation ☛ Conservative_Jews_Made_a_Terrible_Bargain_With Trump_and_the_Right_Over_Israel⠀⇛ A cozy dinner at Mar-a-Largo between Donald Trump, and two Hitler admirers, Ye (formerly Kanye West) and Nick Fuentes, coupled with the massive increase of anti-Semitic tweets in recent weeks, (driven in part by Elon Musk’s invitations to formerly banned neo-Nazis like Andrew Anglin to rejoin the site), have sent anti-Semitism back onto America’s front pages. Many American Jews are understandably in a panic over the apparent return of a particularly gruesome version of the traditional “socialism of fools” into mainstream discourse. This recent outburst of attention comes, however, after decades when American Jewish organizations chose to underplay this constant problem among right-wingers in exchange for their rock-solid support for Israel. Today, we are finally witnessing the cost of that cynical calculation # ⚓ TruthOut ☛ Jan._6_Committee_Recommends_Charges_That_Could Prevent_Trump_From_Running_Again⠀⇛ # ⚓ Meduza ☛ Putin:_Russian_military_has_‘unlimited_financing’ —_Meduza⠀⇛ Speaking before the Defense Ministry collegium on December 21, President Vladimir Putin announced that the Russian military has unlimited financing… # ⚓ Meduza ☛ Russian_Defense_Minister_calls_for_increasing_army to_1.5_million_troops_and_raising_draft_age_from_18_to_21_— Meduza⠀⇛ Russian Defense Minister Sergey Shoigu has proposed changing the age range during which Russian men can undergo mandatory military service by raising both the minimum and maximum ages at which men can be drafted. # ⚓ Meduza ☛ State_Duma_adopts_criminal_law_against_‘sabotage,’ now_punishable_by_life_in_prison_—_Meduza⠀⇛ State Duma deputies voted unanimously to pass, in third reading, a bill for amending the Russian Criminal Code and its article on disruptive activities classified as “Sabotage.” # ⚓ Meduza ☛ ‘We_expected_repressions,_not_barbarity’:_How_the Kremlin’s_2012_adoption_ban_broke_the_will_of_Russia’s political_class_—_Meduza⠀⇛ # ⚓ Counter Punch ☛ SCOTUS_Could_Let_State_Legislatures_Decide Presidential_Election_Counts⠀⇛ Harvard University law professor Noah Feldman labels this theory as a “hyper-literal interpretation” of Article I, section 4 of the U.S. Constitution: “The Times, Places and Manner of holding Elections for Senators and Representatives, shall be prescribed in each State by the Legislature thereof.” North Carolina Republican State Legislators initiated the Moore v. Harper case before the Supreme Court (SCOTUS) to argue that a state legislature can violate its state’s Constitution in congressional elections. If SCOTUS were to uphold ISLT, a state legislature could overturn any federal election’s popular vote if they believed it was critically unfair. They could ignore their state’s supreme court order to adhere to the recorded vote. In a close electoral count, Feldman points out that “a rogue state legislature could determine the outcome of a presidential election” by reassigning electors to the losing presidential candidate. # ⚓ Counter Punch ☛ New_Aboriginal_Speculative_Fiction:_An Interview_with_Mykaela_Saunders⠀⇛ The collection of 22 stories is edited by Mykaela Saunders, a Koori and Lebanese writer, teacher, community researcher, has won numerous prizes for her fiction and poetry. Her story, “Terranora,” is included in the volume. Of Dharug descent, and working-class and queer, Mykaela belongs to the Tweed Goori community. In the Overture to the collection, Saunders writes that “Short story anthologies are like mixtapes, and I want you to think of this book as a burnt CD from me to you, a way for you to sample new worlds, a mishmash of styles gathered together that speak to similar themes, and an opportunity to find exciting writers you might not have otherwise come across.” In her choices she went with the eclectic: “I always leant more toward the experimental, outlandish, surreal and satirical, rather than the traditional, predictable, conventional and solemn.”  Of First Nations people, she asserts that “We are post-apocalyptic and not yet post-colonial, so all those violent histories of invasion and colonisation must be read as apocalyptic by any standard” There’s an elegant symmetry to the mixing. Saunders has the stories talking to one another “like neighbors.” # ⚓ Counter Punch ☛ Everybody_In,_Nobody_Out⠀⇛ With winter descending on the capital, all this struck me as particularly cruel when it came to those unfortunate enough to be unhoused. That sense of cruelty was heightened by the knowledge that legions of policymakers, politicians, and lobbyists — with the power to pass legislation that could curtail evictions, protect tenants, and expand affordable housing — travel through Union Station regularly. When I left D.C., I headed for my hometown, New York City, where Penn Station has been made similarly unwelcome to the homeless. Entrances are closed; police are everywhere; and the new Moynihan terminal, modern and gleaming, was designed without public seating to ward off unwanted visitors. Worse yet, after a summer spent destroying homeless encampments and cutting funding for homeless services, New York Mayor Eric Adams recently announced that the city would soon begin involuntarily institutionalizing homeless people. Rather than address a growing mental health crisis among the most marginalized in his city with expanded resources and far greater access to health care, housing, and other services, Adams has chosen the path of further punishment for the poor. # ⚓ Counter Punch ☛ Why_You_Can’t_Run_Government_Like_a Business⠀⇛ # § Misinformation/Disinformation/Propaganda⠀➾ # ⚓ NPR ☛ She_was_an_ABC_News_producer._She_also_was_a corporate_operative⠀⇛ That wasn’t the only surprise. Though Hentschel has done freelance work for ABC, she was not there for the network. At the time, a political consulting firm called Matrix LLC had paid Hentschel at least $7,000, the firm’s internal ledgers show. And Matrix billed two major companies for Hentschel’s work, labeling the payments “for Florida Crystals, FPL.” (Florida Crystals is a huge sugar conglomerate. FPL is shorthand for the giant utility Florida Power & Light.) Both companies could have benefited from her efforts to undermine Overdorf and his promises to resolve environmental issues in the district he was vying to represent. Florida Power & Light has pushed back against efforts to bring solar panels to the Sunshine State, while runoff from the sugar industry is a major source of water pollution in Florida. # ⚓ Pro Publica ☛ Inside_Google’s_Ad_Display_Network Black_Box:_Porn,_Piracy,_Fraud⠀⇛ In late 2021, the right-wing site Conservative Beaver published a story falsely claiming the FBI had arrested Pfizer’s CEO for fraud. It wasn’t Conservative Beaver’s first brush with fabricated news. The site had falsely claimed Barack Obama was arrested for espionage, Pope Francis was arrested for possession of child pornography and “human trafficking,” and the Pfizer CEO’s wife died after being compelled to take a COVID-19 vaccine. As Conservative Beaver pumped out these and other lies, Google placed ads on the site and split the revenue with its then- anonymous owner. o § Censorship/Free Speech⠀➾ # ⚓ Jihad Watch ☛ Bill_Maher_says_Leftists_‘insane’_for_not daring_to_criticize_Sharia⠀⇛ “We’ve come to this place where you can’t even go near a topic, certain topics, without the mob coming after you,” Dawkins said. # ⚓ Jerusalem Post ☛ Criticism_of_Qatar’s_Sharia_law_is_racist, ‘Qatarophobia,’_MSNBC_host_claims_–_opinion⠀⇛ He alleges that all criticism of Qatar’s strict Sharia law is racist, so we must ignore the fact that in Qatar, unmarried women are banned from receiving sexual health and prenatal care. This would also ignore that in Qatar, sex between people of the same gender is illegal and can include a maximum penalty of death by stoning. # ⚓ Guardian ☛ Nigeria_judge_sentences_imam_to_death_over blasphemy⠀⇛ Judge Abdullahi Sarki Yola found Kabara guilty of blasphemy after he had been in custody since his arrest and subsequent arraignment in February last year. “This court has established all the charges brought against you and hereby sentences you to death in accordance with Sharia provision on blasphemy,” Yola said during the hour-long judgement. # ⚓ Medforth ☛ WATCH:_Muslim_punches_Islam_critic_Michael Stürzenberger_in_the_face_in_Bonn,_Germany⠀⇛ A security guard also got a good beating. This incident shows how important this kind of information is. We wish Michael Stürzenberger a speedy recovery. And those who know him know that he is only now really getting going, because he knows how dangerous this political Islam is for our survival: [...] # ⚓ Forbes ☛ Iran_Arrests_Famous_Actress_Who_Called_Execution ‘Disgrace_To_Humanity’⠀⇛ It’s the latest high-profile case of the Iranian government’s crackdown on protesters, with Amir Nasr-Azadani, a former professional soccer player, facing a possible death sentence for participating in what Iranian police claim was a group that killed a police colonel (Fifpro, soccer’s player’s union strongly condemned the arrest). # ⚓ ABC ☛ ‘Dehumanizing’:_Actress’_arrest_highlights_abuse, torture_in_Iranian_prisons⠀⇛ “Medical care denial is a passive torture many times accompanied by different forms of physical and psychological tortures,” Shahla, an Iranian activist and protester who did not want to be identified for security reasons, told ABC News. “Tortures reported by prisoners vary from beating and keeping prisoners in extremely cold temperature to humiliation, solitary confinement and incarceration in psychiatric wards.” o § Freedom of Information / Freedom of the Press⠀➾ # ⚓ Counter Punch ☛ Bari_Did_a_Bad,_Bad_Thing⠀⇛ Today, no one should throw the word around, it doesn’t necessarily apply to a Jew who might simply hold odious political opinions. To truly cross the Rubicon into the territory of ultimate traitor is to actively use your Jewish status as a tool for those promoting supremacy and fascism. Zionist Organization of America President Mort Klein stands apart in the Israel lobby as a kapo as the ZOA has feted Steve Bannon and Donald Trump since the 2016 election, even as other Jews protest their blatant antisemitism (Ha’aretz, 11/15/16; 11/14/22). Musician Gilad Atzmon, by virtue of embracing self- hatred to the benefit of Klansman David Duke (DavidDuke.com 12/4/13; Hatewatch, 1/27/15), is a kapo. Bari Weiss, former New York Times opinion writer and founder of the Free Press, was once merely a feature of the conservative anti-cancel culture brigade, a media solider in a campaign to classify racial and economic justice as some kind censorship against tradition. o § Civil Rights/Policing⠀➾ # ⚓ Medforth ☛ France:_Two_hours_after_calling_the_police,_a young_woman_was_beaten_into_a_coma_by_her_ex-partner._The_man was_Muslim_and_had_asked_Chloé_to_convert_to_Islam⠀⇛ # ⚓ Democracy Now ☛ Human_Rights_Stain,_Public_Health_Farce: Title_42_Tied_to_13,000_Murders,_Rapes,_Kidnappings_in Mexico⠀⇛ The Biden administration has asked the Supreme Court to temporarily keep in place Title 42 until after December 27. The Trump-era pandemic policy has been used to block over 2 million migrants from seeking asylum in the country. Meanwhile, Supreme Court Chief Justice John Roberts on Monday temporarily blocked the Biden administration from ending Title 42, siding, at least for the moment, with a group of U.S. states with Republican attorneys general who want to keep Title 42 in place. According to Human Rights First, over 13,400 accounts of murder, torture, kidnapping, rape and other violent attacks on migrants and asylum seekers blocked in or expelled to Mexico under Title 42 have been reported since President Biden took office. # ⚓ Common Dreams ☛ Opinion_|_Why_Algeria’s_Coup_and_Civil_War Should_Alarm_Americans_About_Trumpism⠀⇛ Donald Trump’s attempted coup on Jan. 6, for which he has now been referred to the Department of Justice on sedition and other charges by the January 6 Committee of the House, evoked in me a powerful feeling of déjà vu. It reminded me of Algeria 1991. # ⚓ Common Dreams ☛ Opinion_|_There_Is_a_Great_Replacement Going_On—But_It’s_Not_What_You’ve_Been_Told⠀⇛ Very likely, the reader is wearily familiar with one of the memes that American right wingers endlessly repeat. It’s called the Great Replacement: the claim that shadowy but apparently omnipotent elites are deliberately replacing the old stock (meaning white) American population with Third World foreigners. # ⚓ India ☛ Hyderabad:_Man_kills_daughter_for_constantly engaging_on_phone⠀⇛ # ⚓ BBC ☛ Sudanese_woman_jailed_for_kissing_man⠀⇛ The 20-year-old was initially sentenced to death by stoning, sparking an international outcry. # ⚓ Scheerpost ☛ ‘I_Did_Not_Know_I_Had_a_Voice’⠀⇛ Without federal labor protections, domestic workers seek legal rights through cities and states. # ⚓ Scheerpost ☛ Congress_Has_One_Last_Chance_to_Abolish_the Crack_Cocaine_Sentencing_Disparity⠀⇛ Merrick Garland’s recent memo was an important first step, but only Congress can fully end the sentencing disparities. # ⚓ Democracy Now ☛ Six_Charged_in_Atlanta_with_Domestic Terrorism_for_Protesting_“Cop_City”_Training_Facility⠀⇛ Six people in Atlanta have been charged with domestic terrorism for taking part in protests against a massive new police training facility known as Cop City. The protesters were taking part in a months-long encampment in a forested area of Atlanta where the city wants to build a $90 million, 85-acre training center on the site of a former prison farm. Conservationists have long wanted to protect the area, the South River Forest, from future development. Protesters are also urging the city to invest in alternatives to more policing. “This is basically a boondoggle that’s been given to the police to make them feel better,” says Kamau Franklin, founder of Community Movement Builders, which is a part of a coalition trying to stop the construction of Cop City in Atlanta. # ⚓ TruthOut ☛ Six_Charged_With_Domestic_Terrorism_for Protesting_Atlanta’s_“Cop_City”⠀⇛ # ⚓ Counter Punch ☛ Repair_as_Resistance_to_Alienated_Labor⠀⇛ In a throwaway society, many people try to exercise their creative powers in other ways, ignoring what might be gained from repair. Hobbies, crafts, and side businesses are the usual outlets. All of these can give people pleasurable opportunities, ones not afforded by their day jobs, to think, design, invent, collaborate, and work unbossed. And so it’s no mystery why some people work harder on their own projects on the weekend than for an employer during the week. Compared to these alternatives, what’s so special about repair? One answer is that repair starts with a problem that compels us to learn more about the material world we otherwise take for granted. When a thing or device upon which we depend breaks down, we’re stuck, unable to act as expected. It then becomes necessary to figure out what’s wrong and enter a new relationship with the broken object. We ask, How does it work? How is it supposed to work? Why isn’t it working? Now we need to awaken analytic faculties that a neatly functioning world has lulled to sleep. # ⚓ Pro Publica ☛ Salmon_People:_A_Native_Fishing_Family’s Fight_to_Preserve_a_Way_of_Life⠀⇛ When the salmon are running up the Columbia River, Native people are there with them. They live, eat and sleep at the river. Their children grow up at the river. They catch salmon for subsistence, for ceremonies and for their living. # ⚓ TruthOut ☛ These_Incarcerated_Organizers_Won_Their_Freedom. Now_They_Face_Deportation.⠀⇛ # ⚓ Common Dreams ☛ Opinion_|_Ten_Surprisingly_Good_Things_That Happened_in_2022⠀⇛ With wars raging in Ukraine, Yemen, Somalia and elsewhere, Roe v. Wade overturned and our resources being wasted on militarism instead of addressing the climate crisis, it can be hard to remember the hard-won progress being made. As we end a difficult year, let’s pause to remind ourselves of some of the positive changes that happened in 2022 that should inspire us to do more in the year to come. While some are only partial gains, they are all steps towards a more just, peaceful and sustainable world. # ⚓ The Nation ☛ Jesus_Was_a_Refugee⠀⇛ o § Monopolies⠀➾ # ⚓ TruthOut ☛ New_York_Signs_Law_Co-Written_By_Amazon_Labor Union_to_Protect_Warehouse_Workers⠀⇛ # § Copyrights⠀➾ # ⚓ Torrent Freak ☛ Clock_Ticking_For_Call_of_Duty_Cheat Makers_Who_Took_on_Activision⠀⇛ After cheat maker EngineOwning was sued by Activision in January 2022, online taunts suggested that some of the defendants would never be found. Nearly a year later, around 30 names are on the docket, together facing allegations of copyright infringement and racketeering. For some of those defendants, the clock is already ticking toward a mid- January deadline. # ⚓ Torrent Freak ☛ U.S._Copyright_Office_Finds_‘Deep Disagreement’_on_Anti-Piracy_Measures⠀⇛ The U.S. Copyright Office has completed its public consultations on the use of technical measures to identify and protect copyrighted content online. The inquiries triggered responses from a wide variety of stakeholders, both for and against tools such as ‘upload filters’. The Office cautions lawmakers against drastic decisions and sees more benefit in small tweaks and voluntary agreements. # ⚓ Venture Beat ☛ As_Google_weighs_in_on_ChatGPT, You.com_enters_the_AI_chat⠀⇛ One of the biggest topics underlying the hype bonanza since OpenAI’s release of ChatGPT two weeks ago has been: What does this mean for Google search? But it was only on Tuesday evening that Google appeared to finally weigh in on the topic: CNBC reported that employees raised concerns at a recent all-hands meeting that the company was losing its competitive edge in artificial intelligence (AI) given ChatGPT’s quick rise. # ⚓ Newsweek ☛ Netflix_Customers_Could_Face_Criminal Charges_for_Sharing_Their_Password⠀⇛ But despite its recently published guidance, a spokeswoman the IPO told Newsweek “copyright law remains unchanged,” and there are “a range of provisions in criminal and civil law which may be applicable in the case of password sharing where the intent is to allow a user to access copyright protected works without payment.” “These provisions may include breach of contractual terms, fraud or secondary copyright infringement depending on the circumstances. Where these provisions are provided in civil law, it would be up to the service provider to take action through the courts if required,” the IPO spokeswoman said. # ⚓ [Old] The Independent UK ☛ Disney’s_attempt_to_buy The_Muppets_‘is_probably_what_killed’_Jim_Henson, claims_Frank_Oz⠀⇛ Henson, however, died in 1990 of streptococcal toxic shock syndrome. Speaking to The Guardian in a new interview, Oz claimed: “The Disney deal is probably what killed Jim. It made him sick. “[Then-Disney boss Michael Eisner] was trying to get Sesame Street, too, which Jim wouldn’t allow,” Oz continued. “But Jim was not a dealer, he was an artist, and it was destroying him, it really was.” Speaking about the current-day iterations of the Muppets and Sesame Street, he said: “The soul’s not there. The soul is what makes things grow and be funny. But I miss them and love them.” He also claimed there is “a demarcation line between the Jim Henson Muppets and the Disney Muppets”. # ⚓ [Old] The Guardian UK ☛ Frank_Oz_on_life_as_Fozzie Bear,_Miss_Piggy_and_Yoda:_‘I’d_love_to_do_the_Muppets again_but_Disney_doesn’t_want_me’⠀⇛ Disney finally managed to buy the Muppets – but not Sesame Street – in 2004, and to Oz’s mind, there’s a “demarcation line between the Jim Henson Muppets and the Disney Muppets”: “There’s an inability for corporate America to understand the value of something they bought. They never understood, with us, it’s not just about the puppets, it’s about the performers who love each other and have worked together for many years.” Oz hasn’t worked with the Muppets since 2007, and I assumed he’d retired. I assumed incorrectly: “I’d love to do the Muppets again but Disney doesn’t want me, and Sesame Street hasn’t asked me for 10 years. They don’t want me because I won’t follow orders and I won’t do the kind of Muppets they believe in,” he says. He can’t bear to watch the Muppets or Sesame Street today: “The soul’s not there. The soul is what makes things grow and be funny. But I miss them and love them.” # ⚓ [Old] Vox Media ☛ The_Muppets’_secret_weapon_doesn’t work_in_the_Disney_era⠀⇛ In spite of occasional bright spots like the 2011 film The Muppets and the new Disney Plus series Muppets Now!, some elusive Muppets recipe has been lost to time. The Muppets were and are an ensemble act of puppetry masters, but the heart of their early success was the unique, compelling chemistry between Jim Henson and Frank Oz, who performed and voiced the most iconic Muppet characters, from Kermit the Frog to Miss Piggy to Animal. But while the Muppets are now immortalized as brands, the performers that brought them to life were just people. Creative chemistry can’t become intellectual [sic] property [sic]. =============================================================================== * Gemini_(Primer) links can be opened using Gemini_software. It’s like the World Wide Web but a lot lighter. ╘══════════════════════════════════════════════════════════════════════════════╛ ¶ Lines in total: 7655 ➮ Generation completed at 02:45, i.e. 78 seconds to (re)generate ⟲