𝕿𝖊𝖈𝖍𝖗𝖎𝖌𝖍𝖙𝖘 Bulletin for Friday, December 08, 2023 ┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅ Generated Sat 9 Dec 02:49:54 GMT 2023 Created by Dr. Roy Schestowitz (𝚛𝚘𝚢 (at) 𝚜𝚌𝚑𝚎𝚜𝚝𝚘𝚠𝚒𝚝𝚣 (dot) 𝚌𝚘𝚖) Full hyperlinks for navigation omitted but are fully available in the originals The corresponding HTML versions are at 𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈 Latest in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒕𝒙𝒕 and older bulletins can be found at 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒕𝒙𝒕-𝒂𝒓𝒄𝒉𝒊𝒗𝒆𝒔 Full IPFS index in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒊𝒑𝒇𝒔 and as plain text in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒊𝒑𝒇𝒔/𝒕𝒙𝒕 Gemini index for the day: gemini://gemini.techrights.org/2023/12/08/ ╒═══════════════════ 𝐑𝐄𝐂𝐄𝐍𝐓 𝐁𝐔𝐋𝐋𝐄𝐓𝐈𝐍𝐒 ════════════════════════════════════╕ Previous bulletins in IPFS (past 21 days, in chronological order): QmbHjgPAAcGNUG9Sej4vSKhK8DfUYokfFkXLdKwr1JtGJG QmdLsuRLzrwb58dZaSmJah6oCmNNZ6cW4ick4chqJmHjmY QmTNR3uqcbMYjPAbbHjBqyNJb3ib8kytQvdFnATzkBFVvo QmfCHrqMLfMsHXYnQeAvVuNYt91Zw2AmMJ5mx4RqsrWy3b QmR2rr1yXDANjQBEz2oGtd2UMgy9U37FHdjpUhPfAk7h5z QmWE6ucdKk9Q1pi6ce3ko9xPWd9Y4BjpLij3W7tJ5TMjG3 QmaoEDiALTYYZdaq3SQ86aQpMwUji1nqCeLbXAoszFRYvJ QmSTkZUY74BcgbgqS6JKwwNbVnbzY5uqwpgWtYonGJua8s QmXZcp3rXLYa24pYd7jUu6sPDrhziRCNCok875WLJTLysP QmUE7nd24kx2soZFbSYKDsb1ik1wpirFTRTBhDTj6w9sjh QmdKeWBhfnjgQLYU48wto7DdStpXsB5mE1yEEnWcxQ53vu QmfSnnTnjcAe3YvtRsVgAwUJfpcEk1dM5J5yjJLyv7MxqM QmQ16CkpxBbMzPZ6wZcuKBUcxH1RZ8uAEhcvdBsPRpVZe9 QmT3gTQRv33wEDtJveL8DiqiacGeRaxEbRFDUyVSJEAvDL QmTs9qcwghZPs5oBh9qzsu8a11T4s6xHrJjVNyk5miFy3X Qmdqd6mb8mj27qVvQZRR7sjshrXYYirWm9vRttLkNB5rW6 QmSjY85vxbu9nNFHUMmuK7CxRame2VYuhb523CJaK5zRkj QmZwah9nZHVvSzbJWEAMxumYDpanFPqTahnqoNP83tuZbx QmQWSrGfeYwgf6HE9N3742DJrJwq8uNSCUAz469CnuUFGe QmcgTTyseF5zFd4MLquM4PtJZzkFcBEqaUbqDe4eaUx6Na QmZMEFKvpgvjxAcV9Pwu7yF74LYZwS7ktdLFdYb988Ncfu ╒═══════════════════ 𝐈𝐍𝐃𝐄𝐗 ═══════════════════════════════════════════════════╕ ⦿ Techrights - IRC Proceedings: Thursday, December 07, 2023 ⦿ Techrights - Linus Torvalds Cannot Easily 'Offend' Companies Anymore, But Weeks Ago He Explained Why (Linux Support and Hardware Documentation Has Significantly Improved) ⦿ Techrights - Open Source Initiative (OSI) is Microsoft, It Presents Microsoft-Controlled Projects Like They're Everything That Exists in the World ⦿ Techrights - [Video] The Media Facilitates Microsoft's Abuse, Bribes, and Growing Threats to National Security ⦿ Techrights - [Video] The Next Ten Years of Techrights in a World With Changing Threats and Technological Landscapes (or Trends That Are Buzzwords/Cargo Cults) ⦿ Techrights - Wikipedia is Vandalism, Brought to You by Microsoft and Bill Gates ䷼ Bulletin articles (as HTML) to comment on (requires login): https://news.techrights.org/n/2023/12/08/irc-log-071223.shtml https://news.techrights.org/n/2023/12/08/Linus_Torvalds_Cannot_Easily_Offend_Companies_Anymore_But_Weeks.shtml https://news.techrights.org/n/2023/12/08/Open_Source_Initiative_OSI_is_Microsoft_It_Presents_Microsoft_C.shtml https://news.techrights.org/n/2023/12/08/_Video_The_Media_Facilitates_Microsoft_s_Abuse_Bribes_and_Growi.shtml https://news.techrights.org/n/2023/12/08/_Video_The_Next_Ten_Years_of_Techrights_in_a_World_With_Changin.shtml https://news.techrights.org/n/2023/12/08/Wikipedia_is_Vandalism_Brought_to_You_by_Microsoft_and_Bill_Gat.shtml ䷞ Followed by Daily Links (assorted news picks curated and categorised): https://news.techrights.org/n/2023/12/08/Links_08_12_2023_Cyber_Resilience_Act_in_EU_and_Denmark_Embraci.shtml https://news.techrights.org/n/2023/12/08/Links_08_12_2023_Tidal_and_Simplilearn_Layoffs.shtml ䷩ 𝚕𝚒𝚗𝚎 63 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2023/12/08/irc-log-071223.shtml Gemini version at gemini://gemini.techrights.org/n/2023/12/08/irc-log-071223.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ IRC Proceedings: Thursday, December 07, 2023⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Dec 08, 2023 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇GN 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇GNOME_Gedit⦈_ #techrights_log #boycottnovell_log 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇GN 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇GNOME_Gedit⦈_ #boycottnovell-social_log #techbytes_log Enter_the_IRC_channels_now ䷩ 𝚕𝚒𝚗𝚎 95 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2023/12/08/Linus_Torvalds_Cannot_Easily_Offend_Companies_Anymore_But_Weeks.shtml Gemini version at gemini://gemini.techrights.org/n/2023/12/08/Linus_Torvalds_Cannot_Easily_Offend_Companies_Anymore_But_Weeks.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Linus Torvalds Cannot Easily 'Offend' Companies Anymore, But Weeks Ago He Explained Why (Linux Support and Hardware Documentation Has Significantly Improved)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Dec 08, 2023 Video: Torvalds_at_Open_Source_Summit_Japan_2023 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Torvalds_at_Open_Source_Summit_Japan_2023⦈_ THE footage from a recent Linux_Foundation event covers_the_"giving_the_finger to_NVIDIA"_incident, which resulted in backlash and inflamed people who had already hated Linux (and Linus) anyway. We include all the relevant context in the clip above. The full clip can be found here (8:57 - 11:02). It might be noted that Dirk (sitting next to Torvalds) now has a new role - an openwashing mascot in yet another giant corporation with an appalling track record. █ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⣷⡿⠿⠟⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠁⠀⣼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⢃⣈⣀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢂⣠⣶⣽⣯⣾⣿⣿⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠷⠀⠀⠀⠛⠛⠁⢠⡟⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠉⠙⢻⣿⣿⣿⣿⠇⠸⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿ ⡿⠉⠀⠀⠈⠙⠟⠉⠀⠉⢻⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⣉⡀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⢈⣿⣿⣍⠁⠀⠀⢸⣿⡿⠋⠀⡀⢀⡀⠈⢻⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⢠⣤⡄⠀⠀⠀⠘⠉⠀⠈⢻⣿⣿⣿⣿⣿⣯⣭⣭⣭⢩⡍⣭⣭⣭⣭⣭⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⣰⣿⢿⣿⠟⠙⣋⣙⣋⡁⠀⠈⠁⠀⠙⠃⢸⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠉⢭⣿⣿⣷⣾⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘ ⠀⠀⠀⠀⢰⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢿⣿⣿⣿⣿⠟⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣸⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣟⣿⣿⣼⣧⣿⣻⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⣿⣿⣿⣿⠿⠛⠁⠀⠀⠀ ䷩ 𝚕𝚒𝚗𝚎 152 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2023/12/08/Open_Source_Initiative_OSI_is_Microsoft_It_Presents_Microsoft_C.shtml Gemini version at gemini://gemini.techrights.org/n/2023/12/08/Open_Source_Initiative_OSI_is_Microsoft_It_Presents_Microsoft_C.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Open Source Initiative (OSI) is Microsoft, It Presents Microsoft-Controlled Projects Like They're Everything That Exists in the World⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Dec 08, 2023 The voice of Microsoft, not of Open Source, and GitHub is proprietary - i.e. an attack on Open Source or a prison in which to manipulate the competition 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇On Microsoft's payroll, not disclosing this: The most popular licenses for each language in 2023 (Microsoft Data)⦈ THE people who were supposed to be protectors of Open Source keep lying to us. Check who pays them to lie. The OSI has been an incubator of Microsoft lies for years and everyone needs to shout this from rooftops. See the latest example above. They're not assessing the real data, they keep track only of projects foolish enough to choose slavery under Microsoft. Microsoft-funded "analysts" have long done the same thing in order to sell the false picture of GPL (copyright) demise or irrelevance. Self-fulfilling prophecies? The FSF has long complained about those lies (typically spread by another_Microsoft_proxy). Now? The FSF is too shy to even issue a press release about the EU’s Cyber Resilience Act, unlike the FSF-EEE (that too only months ago). The same was true when IBM 'bypassed' the GPL this past summer. The FSF said it would issue a statement... but never did at the end. Fear paralyses. But we need more voices and organisations out there to debunk lies and speak out against such attacks. The OSI is under attack to the point where it's already perpetually attacking, gaslighting, and lying to the community. It's a lost cause already. Today's OSI is deeply corrupt. The above author is literally_funded_by Microsoft and cites a colleague, another Microsofter. How did OSI turn from proponent of Open Source into a Microsoft mouthpiece that actively helps Microsoft violate the GPL by disguising_plagiarism_as "artificial_intelligence"? █ ⢸⣿⡟⠉⠀⠀⠈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛ ⢸⣿⠁⠀⠰⣶⠀⠀⠈⠉⠉⠉⠉⠉⠋⠉⠹⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠉⠙⠉⠉⠩⠩⠉⠉⠉⠋⠍⠭⠋⣿⣀⣉⣉⣍⣈⣏⣫⣈⣉⣉⣛⣿⣿⣿⣿⣿ ⢸⣿⣧⡀⢠⣧⠀⣠⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣏⣙⣉⣋⣩⣍⣙⣩⣏⢻⣉⣉⣉⣿⠙⠉⠋⠟⠉⠉⠉⣿⠉⣯⠋⠉⠉⠙⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣏⡍⣭⡁⢟⢿⢟⢿⣿⢟⠻⡻⡿⡻⡿⣻⢛⣿⡟⡻⡿⣛⢿⢛⢿⢻⡛⡇⡟⡻⡟⢻⣿⢘⢸⢟⢻⢛⢟⢟⢻⢛⡿⡛⡟⣻⣿⢱⡼⡻⡟⠟⣿⢟⢻⢛⣿⢛⠇⢟⢿⣿⢸⢛⢿⢛⢻⢟⠟⢻⡛⡟⢻⡟⠛⠟⡻ ⢸⣿⣧⣽⣧⣿⣼⣼⣽⣿⣼⣼⣧⣯⣯⣦⣾⣼⣿⠇⣯⣧⣭⡼⢸⣽⣬⣥⣧⣧⣤⣧⣿⣿⣼⣼⣼⣵⣽⣽⣼⣼⣴⣧⣭⣧⣾⣿⣼⣯⣧⣧⣿⣿⣬⣽⣤⣥⣽⣥⣿⣼⣿⣼⣤⣼⣼⣼⠈⢘⣬⣅⣧⣬⠃⠘⣮⣯ ⢸⣿⢩⢹⢩⡝⡏⡍⣏⠍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣥⣽⣬⣵⣯⣬⣧⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⡿⠿⣿⣿⢿⠿⠿⢿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⢿⣿⣿ ⢸⣿⣧⣤⣼⣭⣵⣬⣼⣿⣴⣵⣥⣯⣯⣤⣯⣦⣤⣿⣮⣤⣼⣤⣤⣼⣧⣿⣤⣤⣤⣯⣆⣿⣽⣤⣶⣵⣎⣌⣦⣤⣿⣯⣮⣮⣤⣤⣌⣤⣧⣾⣬⣼⣮⣄⣠⣴⣤⣿⣴⣹⣧⣧⣡⣿⣥⣧⣼⣦⣧⣦⣤⣤⣼⣤⣽⣤ ⢸⣯⣫⣩⣉⣁⣉⢉⣉⣹⣹⣉⣉⣟⣍⣉⣏⣿⣉⣉⣉⣈⣋⣏⣫⣹⣙⣽⣀⣋⣉⣏⣱⣹⡙⣇⣉⣋⣉⣿⣯⣋⣫⣫⣏⣷⣍⣸⣆⣉⣿⣉⣉⣹⣭⣏⣈⣩⣍⣉⣫⣫⣩⣏⣿⣉⣉⣉⣭⣟⣏⣋⣻⣒⣝⣍⣹⣇ ⢸⡟⠛⠋⢙⢛⠟⠛⢻⠙⠛⢻⡟⢻⠉⡛⢻⠙⠻⡻⡟⠛⠛⢻⠛⡟⠋⣟⠛⠛⠻⡛⢻⣿⡻⠛⡛⠛⡝⠛⠛⣿⠛⣻⡿⡏⢿⠛⡟⢟⢿⠿⢻⢻⡟⢟⡛⢻⡿⡟⠟⢿⡛⠛⠟⠏⢻⠛⢹⠏⠛⠋⣻⠛⢟⡽⠛⠻ ⢸⣿⡿⠿⠿⢿⠿⠿⠿⠟⡟⠻⠿⠻⢿⠿⠿⠿⡿⠿⠿⠿⢛⡿⠿⢻⠿⠿⡿⢿⠿⡟⠿⠿⠿⠿⠿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣷⣶⣶⣾⣷⣷⣶⣶⣷⣶⣶⣦⣿⣶⣶⣶⣷⣶⣷⣷⣶⣿⣿⣷⣷⣾⣶⣾⣶⣷⣶⣶⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⡿⠟⠿⠿⡿⠻⠿⠿⡿⠿⢿⠿⢿⠿⠿⠿⢿⠿⠿⠿⢿⠿⢿⡿⠿⢿⡿⠿⠿⡿⠿⠿⢿⡿⠿⠿⠿⢿⢿⠿⠟⡿⠿⠿⣿⡿⠻⠟⠿⠿⡿⠿⡿⢿⣿⠿⠿⠿⢿⡻⠻⠿⡿⠿⠿⠟⠿⠿⠿⢻⠟⠿⢿⢿⠿⠿ ⢸⣿⣶⣶⣶⣤⣷⣶⡾⣶⣿⣿⣾⣿⣾⣶⣶⣾⣾⣶⣶⣶⠿⣿⢶⢿⢾⢦⣧⡶⣷⣷⣶⣶⣬⣤⠤⣤⣬⣥⡥⣤⣬⣭⣤⣤⢬⡤⣤⣤⣤⣤⣭⣤⣭⣬⣥⣥⣤⣤⣬⣧⣬⣤⢵⡶⣶⣶⣶⣷⣶⣾⣶⣶⣾⣶⣶⣶ ⢸⣧⣤⣴⣤⣤⣤⣦⣷⣦⣴⣴⣧⣤⣤⣤⣤⣤⣾⣤⣤⣾⣽⣹⣭⣥⣥⣬⣧⣤⣤⣤⣴⣢⣤⣤⣤⣤⣤⣤⣧⣼⣤⣧⣤⣼⣤⣤⣤⣤⣦⣦⣮⣤⣇⣤⣦⣠⣤⣤⣇⣤⣦⣮⣦⣤⣤⣀⣧⣤⣤⣴⣧⣷⣤⣦⣼⣦ ⢸⣏⣉⣉⣩⣉⣉⣯⣁⣈⣉⣉⣏⣭⣉⣉⣉⣁⣉⣉⣹⣉⣈⣉⣙⣍⣏⣉⣍⣉⣉⣉⣉⣏⣉⣉⣭⣉⣉⣯⣋⣩⣍⣩⣏⣉⡌⢁⣉⣹⣏⣯⣉⣸⣈⣉⣉⣍⣉⣉⢻⣌⣹⣉⣉⣍⣉⣏⣩⣉⣉⣸⡏⢁⣭⣏⣉⣽ ⢸⣿⠛⡛⠻⡛⠋⠙⠛⢻⠛⠛⢛⠛⠛⡟⢙⠛⢻⠛⣛⠛⠛⠛⡟⢙⠛⡟⢟⠛⠛⡛⡟⠛⠻⢛⠛⠛⡟⠛⠛⠛⣛⢛⠛⢛⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 241 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2023/12/08/_Video_The_Media_Facilitates_Microsoft_s_Abuse_Bribes_and_Growi.shtml Gemini version at gemini://gemini.techrights.org/n/2023/12/08/_Video_The_Media_Facilitates_Microsoft_s_Abuse_Bribes_and_Growi.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Video] The Media Facilitates Microsoft's Abuse, Bribes, and Growing Threats to National Security⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Dec 08, 2023 Video_download_link | md5sum c2b70c5c302463ea7ba1e00b201ab8c0 Mafiasoft_Selling_Stuff_That_Does_Not_Exist Creative Commons Attribution-No Derivative Works 4.0 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Preview_for_Mafiasoft_Selling_Stuff_That_Does_Not_Exist⦈_ TODAY'S last video speaks of the decoy_of_Iran, CMA, vapourware/buzzwords, and more. It basically explains how Microsoft manipulates the media, the governments around the world, and even collective psyche. Over the past year Microsoft suffered a great deal, debt_surged, but we're meant to think Microsoft is a champion of security and some kind of "market leader" in buzzwords or hype of its own making (like "Meta" with "Metaverse"). The failure of the media to properly and independently explain what's happening will continue to doom the media. Even Microsoft's bribes are painted as some kind of generous gifts (by obedient, mindless parrots, writing in sites that Microsoft is sponsoring). █ ⠀⠀⠀⡧⡀⢀⢢⢰⢫⢀⢢⠀⡂⡄⠄⡎⡆⠀⠨⢅⡀⠢⠀⡇⢠⠀⢠⠂⠀⠐⠤⠐⠀⡄⡄⡏⡎⠀⢹⠁⡇⠄⡀⡄⡆⠀⠈⠐⢠⠠⢠⠠⠀⡀⠀⡗⣸⠀⢠⠒⠀⢸⠭⠠⡄⠀⠄⠐⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠀⠈⡉⣈⠈⠈⠉⠈⠁⠁⠁⠁⠁⠀⠈⣁⡈⠁⠀⠁⠈⠀⢀⣙⣀⡈⠉⠀⠀⠉⠁⠁⠁⠀⠈⠀⠁⠀⠉⠁⠁⠀⠀⠉⠈⡌⠈⠉⠈⠁⣠⢁⢈⣈⣁⣈⣀⣈⣀⡀⠀⣀⣉⣀⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⣀⣤⠶⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⣶⣶⣶⣶⣶⣶⡆⠀⣚⣻⣟⣙⣟⣏⣇⠀⠀⠀⢰⣴⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⡆⠀⢀⣠⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠂⠀⣙⡉⢲⣴⡶⢯⣿⣿⣿⣭⣿⣿⢀⣾⣿⣿⣿⣿⣒⠂⠈⠀⠀⠀⠀⠀ ⠀⣀⣠⣬⣭⣭⡥⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡅⠄⠀⠀⠀⠀⠬⢭⣭⣨⣭⣭⣭⣭⣭⣭⣭⣭⣭⡌⡭⢭⣭⣭⣭⣭⡥⢈⡁⠀⠀⠀⠀ ⢸⣿⣧⣋⣻⣉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣰⡀⠀⠉⠁⠀⠂⣮⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠳⠃⠁⢿⣿⣿⣿⣿⣽⡇⡈⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⣝⣿⡇⠀⠀⠀⢡⡺⠏⠂⠙⢿⣿⣯⣽⣿⣽⡿⠟⠋⠁⠀⠀⠀⢙⠻⣿⣿⣿⣯⢑⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣮⣇⠀⠀⢀⣀⣤⣴⣶⣻⡅⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⢾⣿⣷⣶⣶⠒⠄⠈⣴⡄⠀⠰⠔⠲⣶⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣶⣧⡄⠀⠀⠀⠀ ⢸⣿⡟⣿⣿⣿⢿⡛⠛⠐⠞⡛⠋⡓⡛⠛⢻⣗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡫⠿⠋⠊⠀⠀⠀⠛⠃⠀⣀⡀⠀⠀⢩⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠈⠛⡷⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣒⡀⠀⠀⣀⡀⢐⣿⠘⠛⠛⠋⠀⠺⠄⠀⠀⠀⠀⠀⠀⡀⠤⠄⠀⠀⢠⣷⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠘⠛⠉⠈⠁⠀⠀⠀⠀⠀⠀⢲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡁⠁⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠑⠀⠀⠀⠀⠀⡀⠀⠘⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⢰⣶⣾⣶⣾⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣯⣭⣭⣥⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣁⣀⣀⣀⣀⣠⣠⣀⣀⣀⣀⣶⢀⣃⣀⣀⣠⣾⣆⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢻⣿⡿⣿⢻⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣾⣶⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢟⣽⢿⣿⣿⣯⣟⠿⣿⣿⣿⣿⠀⢸⣿⠇⢀⠀⢀⠂⠤⣀⡀⠀⠈⣴⢀⡟⠺⠇⡗⡄⠀⠐⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭ ⢸⣿⡟⠹⡃⣚⣛⣛⣛⣛⣛⣛⣛⣒⠉⠋⠙⠀⣤⣤⡈⢸⠀⠘⠀⠀⡀⠈⠁⠚⡩⢸⡆⢠⡇⡛⠌⢰⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠀⠁⠙⠙⠛⠛⢙⢻⡗⠹⢀⠀⠀⢀⠀⠀⠀⠚⢾⠸⣿⠀⠀⠆⠀⠀⠤⠶⣽⢗⠸⣇⡁⠁⢸⠠⢠⡤⣠⣿⣿⣿⣿⣿⣶⣾⣶⣾⣶⣿⣷⣿⣶⣷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⠸⣿⠀⠀⠀⠀⠀⣠⡤⢟⣒⣰⣆⣠⣠⡬⠤⢼⡟⠋⢸⣿⣿⣿⣿⡖⣖⢳⡟⡿⣺⢛⣛⢓⢛⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣶⣶⣾⣾⣿⣶⣶⣶⣶⣶⣷⣷⣶⣿⣷⣿⣷⣶⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣾⣿⣶⣶⣷⣾⣶⣶⣾⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⠸ ⠀⠀⠀⡦⡐⢀⣠⢰⢡⢀⣠⠀⡀⡄⠄⡆⡆⠀⠠⢀⣀⡀⠀⡇⢠⠀⢀⠠⠀⠐⠄⠀⠀⡄⡄⡆⡎⠀⢰⠀⡇⠄⣀⡄⡆⠀⠀⠐⢠⠠⢠⣠⠀⡀⠀⡶⣰⠠⢀⠀⠀⢰⠤⠠⡀⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠀⠈⠈⠈⠈⠈⠈⠀⠀⠁⠁⠁⠁⠀⠀⣀⠈⠀⠀⠁⠈⠀⠀⣌⣀⡈⠀⠀⠀⠁⠁⠁⠁⠀⠈⠀⠁⠀⠁⠁⠁⠀⠀⠈⠈⡌⠈⠀⠀⠀⢠⠁⢈⣈⣀⣀⣀⣈⣀⡈⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⣀⣤⠶⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣶⣶⣶⣶⣶⣶⡆⠀⣚⣻⣟⣙⣟⣏⣇⠀⠀⠀⢰⣴⡂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⡆⠀⢀⣠⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠐⠶⠂⠀⣙⡉⢳⣴⣽⣯⣿⣿⣿⣭⣿⣿⢀⣾⣿⣿⣾⣗⡂⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣠⣬⣭⣭⡥⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣅⠤⠀⠀⠀⠀⠬⢭⣭⣩⣭⣭⣭⣭⣭⣭⣭⣭⣭⡌⡭⢭⣭⣭⣭⣭⣥⢨⠁⠀⠀⠀⠀ ⢸⣿⣧⣋⣻⣉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣱⡀⠀⠉⠁⠀⠀⣮⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠳⠇⠁⢿⣿⣿⣿⣿⣽⣕⣀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣉⣯⣿⡇⠀⠀⠀⣠⡺⠏⠂⠙⢿⣿⣯⣽⣯⣽⡿⠟⠋⠁⠀⠀⠀⢙⠻⣿⣿⣿⣿⣉⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣮⣇⠀⠀⢀⣀⣤⣴⣶⣻⡁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠽⢻⣿⣷⣶⡶⠒⠀⠈⣴⡄⠀⠰⠔⠲⣶⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣶⣧⡄⠀⠀⠀⠀ ⢸⣿⡟⣿⣿⣿⢿⡛⠛⠐⠟⡛⠋⡓⡛⠛⢻⣗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡿⡿⠋⠊⠀⠀⠀⠛⠃⠀⣀⡀⠀⠀⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠈⠛⡇⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣒⡀⠀⠀⣀⡀⢘⣿⠘⠛⠛⠋⠀⠻⠀⠀⠀⠀⠀⠀⠀⡠⠤⠄⠀⠀⢠⣷⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠘⠛⠉⠈⠁⠀⠀⠀⠀⠀⠀⢲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠁⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠑⠀⠀⠀⠀⠀⡀⠀⠘⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⢰⣶⣾⣶⣾⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣿⣭⣭⣥⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣄⣀⣀⣀⣀⣠⣀⣀⣀⣀⣀⣶⢀⣃⣀⣀⣠⣾⣆⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢻⣿⡿⣿⢻⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣾⣶⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⠀⢸⣿⠇⢀⠀⢀⠂⠤⣀⡀⠀⠈⣴⢀⡟⠺⠇⡗⡄⠀⠐⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭ ⢸⣿⡟⠱⣃⣚⣛⣛⣛⣛⣛⣛⣛⣒⠉⠛⠛⠀⣤⣤⠈⢸⠀⠘⠀⠀⡀⠈⠁⠚⡩⢸⡆⢠⡇⡛⠌⢰⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠀⠁⠉⠙⠛⠛⢉⢻⡗⠸⢀⠀⠀⢀⠀⠀⠀⠚⢾⠸⣿⠀⠀⠆⠀⠀⠤⠶⣽⢗⠸⣇⡁⠁⢸⠠⢠⡤⣠⣿⣿⣿⣿⣿⣶⣾⣶⣾⣶⣿⣷⣿⣶⣷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⠸⣿⠀⠀⠀⠀⠀⣠⡤⢟⣒⣰⣆⣠⣠⡬⠤⢼⡟⠋⢸⣿⣿⣿⣿⡖⣖⢳⡟⡿⣺⢛⣛⢒⢛⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣶⣶⣾⣾⣿⣶⣶⣶⣶⣶⣷⣷⣶⣿⣷⣿⣷⣶⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣾⣿⣶⣶⣷⣾⣶⣶⣾⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⠸ ⠀⠀⠀⡦⡐⠠⣠⢰⢠⢠⣤⢠⡄⡄⠄⡆⡆⠀⠰⢀⣠⣄⠀⡆⢠⠤⢀⠤⠀⠀⠀⠠⠀⡄⡄⡆⡆⠀⢰⠀⡆⠄⣄⡄⡆⠀⠀⠐⢠⠠⢠⣠⢠⡀⠀⡦⢰⠠⢄⠀⠀⢰⠀⠠⡀⠀⣄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠀⠈⠈⠈⠈⠀⠈⠀⠀⠁⠁⠁⠁⠀⠀⠈⠀⠀⠀⠁⠈⠀⠈⠬⠀⠀⠀⠀⠀⠁⠁⠁⠁⠀⠈⠀⠁⠀⠁⠁⠁⠀⠀⠈⠈⠌⠈⠀⠀⠀⠠⠁⠉⠀⢀⣀⡀⣈⠀⠈⠀⠀⠀⠁⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⣀⣤⠶⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⣒⣴⣶⣶⣶⣶⣶⡆⠀⣚⣻⣟⣙⣟⣏⣇⡄⠀⠀⠰⠖⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⡆⠀⢀⣠⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⢖⠂⠀⢙⡈⢱⣄⣭⠯⣿⣿⣿⣿⣽⣿⣇⣸⣿⣿⣿⣟⣺⡃⠀⠀⠀⠀⠀⠀ ⠀⣀⣠⣬⣭⣭⡥⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣁⣤⠀⠀⠀⠀⠬⢭⣭⣩⣭⣭⣭⣭⣭⣭⣥⣬⣭⡍⡭⢭⣭⣭⣭⣍⣥⢨⡀⠀⠀⠀⠀ ⢸⣿⣧⣋⣻⣉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⢀⣱⡀⠀⠉⠁⠀⠠⣮⡟⣽⡿⣿⣿⣿⣿⣿⣿⣿⣿⠳⠃⠁⢿⣿⣿⣿⣿⣿⣅⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣿⣿⡇⠀⠀⠀⢠⡾⠏⠆⠙⢿⣻⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⢙⠻⣿⣿⣿⣷⣃⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣮⣇⠀⠀⢀⣀⣤⡴⣾⣻⡅⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠝⢿⣿⣷⣶⣶⠒⠀⠀⣴⡄⠀⠰⠶⠀⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣶⣧⡄⠀⠀⠀⠀ ⢸⣿⡟⣿⣿⣿⢿⡛⠛⠐⠟⡛⠃⡛⡛⠛⢻⣗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠟⢻⠋⠊⠀⠀⠀⠘⠓⢀⢀⡀⠀⠀⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠈⠻⠧⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣚⡀⠀⠀⣀⡀⢘⣿⠘⠛⠛⠛⠀⠻⠀⠀⠀⠀⠀⠀⠀⡠⠤⠄⠀⠀⢠⡷⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠘⠛⠉⠈⠁⠀⠀⠀⠀⠀⠀⢲⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠈⡉⠁⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠑⠀⠀⠀⠀⠀⡀⠀⠘⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⢰⣶⣾⣶⣾⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣾⣭⣭⣥⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣅⣀⣀⣀⣀⣠⣠⣀⣀⣀⣀⣶⢀⣇⣀⣀⣠⣼⣆⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢻⣿⡿⣿⢻⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣾⣶⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⠀⢸⣿⠇⢀⠀⢀⠂⠤⣀⡀⠀⠈⣴⢀⡟⠺⠇⡗⡄⠀⠐⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭ ⢸⣿⡟⠹⣃⣚⣛⣛⣛⣛⣛⣛⣛⣒⠉⠋⠛⠀⣤⣤⡈⢸⠀⠘⠀⠀⡀⠈⠁⠚⡩⢸⡆⢠⡇⡛⠌⢰⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠀⠈⠉⠉⠝⠙⢉⢻⡗⠱⢀⠀⠀⢀⠀⠀⠀⠚⢾⠸⣿⠀⠀⠆⠀⠀⠤⠶⣽⢗⠸⣇⡁⠁⢸⠠⢠⡤⣠⣿⣿⣿⣿⣿⣶⣾⣶⣾⣶⣿⣷⣿⣶⣷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⠸⣿⠀⠀⠀⠀⠀⣠⡤⢟⣒⣰⣆⣠⣠⡬⠤⢼⡟⠋⢸⣿⣿⣿⣿⡖⣖⢳⡟⡿⣺⢛⣛⢓⢛⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣶⣶⣾⣾⣿⣶⣶⣶⣶⣶⣷⣷⣶⣿⣷⣿⣷⣶⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣾⣿⣶⣶⣷⣾⣶⣶⣾⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⠸ ⠀⠀⠀⣦⡐⠀⣤⢰⢤⠠⣄⢠⠄⡤⠄⡦⡦⠀⠐⡂⣠⣄⠀⡆⢠⠤⢀⠤⠀⠠⢒⠠⠄⡄⡄⡆⡦⠀⢰⠀⡦⠄⢤⡄⡦⠀⠀⠒⢀⠤⢠⣤⢠⠄⠀⡦⢰⠠⢄⠤⠀⢰⠒⠠⡀⠀⡤⠠⠄⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠀⠈⠊⠈⠈⠀⠈⠀⠀⠑⠁⠁⠑⠀⠐⠊⠀⠀⠀⠁⠈⠀⠈⠦⠀⠀⠀⠀⠀⠁⠁⠁⠁⠀⠈⠀⠁⠀⠁⠁⠁⠀⠀⠈⠈⠈⠈⠀⠀⠀⠠⠁⠉⠀⠊⠐⠀⠘⠒⠈⠁⠀⠐⠁⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⣀⣤⠶⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣦⣶⣶⣶⣶⣶⡆⠀⣚⣻⣝⣙⣟⣏⣇⡄⠀⠀⢰⣴⠆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⡆⠀⢀⣠⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢶⠒⠀⣻⡘⢳⣤⡶⢾⣿⣿⣿⣭⣿⣿⣅⣼⣿⣿⣿⣿⡀⡀⠀⠀⠀⠀⠀⠀ ⠀⣀⣠⣬⣭⣭⡥⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢈⣁⡌⠀⠀⠀⠀⠬⢭⣭⣩⣭⣭⣭⣭⣭⣭⣭⣭⣭⡍⡭⢭⣭⣭⣭⣭⣥⢨⠁⠀⠀⠀⠀ ⢸⣿⣧⣋⣻⣉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢀⣱⡀⠀⠉⠁⠀⠀⣮⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠃⠁⢿⣿⣿⣿⣯⣽⣅⡀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣔⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣀⣋⣿⡇⠀⠀⠀⢠⡾⠏⠀⠙⢿⣻⣷⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⢙⢻⣿⣿⣿⣿⣁⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣮⣧⠀⠀⢀⣀⣤⣴⣾⢻⡅⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⢽⣿⣷⣶⣶⡒⠀⠈⣴⡀⠀⠰⠖⠐⠿⢿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣶⣧⡄⠀⠀⠀⠀ ⢸⣿⡟⣿⣿⣿⢿⡛⠛⠐⠟⡛⠃⡓⡛⠛⢻⣗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⡷⣿⠋⠊⠀⠀⠀⠻⠃⠀⢀⡀⠀⠀⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠈⠛⠇⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⡀⠀⠀⣀⡀⢐⣿⠘⠛⠛⠛⠀⠻⠄⠀⠀⠀⠀⠀⠀⡀⠤⠄⠀⠀⢠⣷⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠘⠛⠉⠈⠉⠀⠀⠀⠀⠀⠀⢲⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠈⡉⠁⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠑⠀⠀⠀⠀⠀⡀⠀⠘⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⢰⣶⣾⣶⣾⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣿⣭⣭⣥⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣀⣀⣀⣀⣀⣀⣠⣀⣀⣀⣀⣶⢀⣃⣀⣀⣠⣶⣆⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢻⣿⡿⣿⢻⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣾⣶⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⠀⢸⣿⠇⢀⠀⢀⠂⠤⣀⡀⠀⠈⣴⢀⡟⠺⠇⡗⡄⠀⠐⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭ ⢸⣿⡟⠹⣃⣚⣛⣛⣛⣛⣛⣛⣛⣒⠉⠋⠋⠀⣤⣤⡈⢸⠀⠘⠀⠀⡀⠈⠁⠚⡩⢸⡆⢠⡇⡛⠌⢰⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠀⠁⠋⠙⠙⠛⢙⢻⡗⠹⢀⠀⠀⢀⠀⠀⠀⠚⢾⠸⣿⠀⠀⠆⠀⠀⠤⠶⣽⢗⠸⣇⡁⠁⢸⠠⢠⡤⣠⣿⣿⣿⣿⣿⣶⣾⣶⣾⣶⣿⣷⣿⣶⣷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⠸⣿⠀⠀⠀⠀⠀⣠⡤⢟⣒⣰⣆⣠⣠⡬⠤⢼⡟⠋⢸⣿⣿⣿⣿⡖⣖⢳⡟⡿⣺⢛⣛⢓⢛⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣶⣶⣾⣾⣿⣶⣶⣶⣶⣶⣷⣷⣶⣿⣷⣿⣷⣶⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣾⣿⣶⣶⣷⣾⣶⣶⣾⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⠸ ⠀⠀⠀⣆⠐⠀⢄⢠⢖⠀⢄⠠⠄⡀⡀⡖⡄⠀⢐⡂⠠⠄⠀⡆⢀⠀⢀⠄⠀⠠⣒⠠⠀⡀⡀⡖⡔⠀⢲⠒⡆⠀⠠⡀⡤⠀⠐⠢⢀⢄⢀⢄⠀⠄⠀⡦⢰⠀⢀⠤⠀⢰⣒⢀⡀⠀⡠⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⠁⠘⠚⠘⠘⠘⠚⠐⠃⠑⠂⠃⠓⠀⠐⠊⠑⠂⠀⠃⠘⠀⠈⠲⠀⠐⠒⠁⠂⠓⠃⠃⠃⠀⠘⠀⠃⠀⠓⠃⠃⠀⠀⠀⠈⠄⠀⠀⠀⠁⠀⠁⠙⠐⠊⠐⠀⠘⠒⠀⠁⠀⠒⠀⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⣀⣤⠴⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣲⣖⣶⣶⣶⣶⣶⡆⠀⣚⣻⣟⣙⣟⣏⣇⡄⠀⠀⢰⡂⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⡆⠀⢀⣠⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠀⠀⠶⠂⠀⢙⡘⢲⣤⡷⢾⣿⣿⣿⣭⣿⣿⣇⣼⣿⣿⣿⣷⣐⠂⠀⠀⠀⠀⠀⠀ ⠀⣀⣠⣬⣭⣭⡥⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡤⠀⠀⠀⠀⠬⢭⣭⣩⣭⣭⣭⣭⣭⣭⣭⣭⣭⡍⡭⢭⣭⣭⣭⣭⣥⢨⠁⠀⠀⠀⠀ ⢸⣿⣧⣋⣻⣉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣱⡀⠀⠉⠁⠀⠀⣮⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠃⠁⢿⣿⣿⣿⣷⣼⡃⣀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣩⣹⣿⡇⠀⠀⠀⢰⡲⠏⠂⠙⢿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⢙⠿⣿⣿⣿⡿⢌⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣮⣥⠀⠀⢀⣀⣤⣶⣾⣻⡅⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣁⠾⣿⣷⣶⣶⠒⠀⠈⣴⡄⠀⠰⠦⠀⠿⠝⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣶⣧⡄⠀⠀⠀⠀ ⢸⣿⡟⣿⣿⣿⢿⡛⠛⠐⠟⡛⠃⡓⡛⠛⢻⣗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠏⠿⠋⠈⠀⠀⠀⠿⠃⢀⣀⡀⠀⠀⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠈⠛⡧⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⡀⠀⠀⣀⡀⢰⣗⠘⠛⠛⠋⠀⠻⠀⠀⠀⠀⠀⠀⠀⡠⠤⠤⠀⠀⢀⡶⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠘⠛⠁⠀⠁⠀⠀⠀⠀⠀⠀⢲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡉⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠑⠀⠀⠀⠀⠀⡀⠀⠘⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⢰⣶⣾⣶⣾⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣯⣭⣭⣥⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣶⢀⣆⣀⣀⣀⣶⣎⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢻⣿⡿⣿⢻⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣾⣶⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢟⣽⢿⣿⣿⣯⣟⠿⣿⣿⣿⣿⠀⢸⣿⠇⢀⠀⢀⠂⠤⣀⡀⠀⠈⣴⢀⡟⠺⠇⡗⡄⠀⠐⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭ ⢸⣿⡟⠱⣃⣚⣛⣛⣛⣛⣛⣛⣛⣒⠉⠋⠛⠀⣤⣤⠈⢸⠀⠘⠀⠀⡀⠈⠁⠚⡩⢸⡆⢰⡇⡛⠌⢰⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠀⠁⠉⠙⠛⠛⢉⢻⡗⠸⢀⠀⠀⢀⠀⠀⠀⠚⢾⠸⣿⠀⠀⠆⠀⠀⠤⠶⣽⢗⠸⣇⡁⠁⢸⠠⢠⡤⣠⣿⣿⣿⣿⣿⣶⣾⣶⣾⣶⣿⣷⣿⣶⣷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⠸⣿⠀⠀⠀⠀⠀⣠⡤⢟⣒⣰⣆⣠⣠⡬⠤⢼⡟⠋⢸⣿⣿⣿⣿⡖⣖⢳⡟⡿⣺⢛⣛⢒⢛⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣶⣶⣾⣾⣿⣶⣶⣶⣶⣶⣷⣷⣶⣿⣷⣿⣷⣶⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣾⣿⣶⣶⣷⣾⣶⣶⣾⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⠸ ⠀⠀⠀⣄⠠⠀⢀⢠⢒⠀⢀⠀⠀⡁⡀⡔⡄⠀⢀⡂⠈⠁⠁⡆⢀⠀⢀⢈⠈⠡⡀⠀⠀⡀⡀⡔⡔⠀⢠⠀⡆⡀⠀⡀⡄⠀⠀⠠⢀⢀⢀⢀⠀⠀⠀⡤⢰⠀⠀⠀⠀⢠⣒⢀⡀⠀⡀⠠⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⠁⠘⠙⠘⠘⠘⠙⠀⠃⠃⠂⠃⠃⠀⠀⠊⠙⠀⠀⠃⠘⠀⠈⠲⠀⠐⠐⠀⠀⠃⠃⠃⠃⠀⠘⠀⠃⠀⠃⠃⠃⠀⠀⠀⠈⠄⠈⠀⠀⠁⠠⠁⠙⠐⠊⠐⠀⠘⠀⠐⠁⠀⠊⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⣀⣤⠴⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣮⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣤⣶⣶⣶⣶⣶⠀⠐⢚⣳⣟⣙⣟⢏⡆⠀⠀⠀⢰⣐⡤⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⡆⠀⢀⣠⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠒⠀⣹⡈⢲⣴⣿⣾⣿⣿⣷⢾⣿⣿⣠⣿⣿⣿⣿⣷⡀⠀⠐⠀⠀⠀⠀⠀ ⠀⣀⣠⣬⣭⣭⡥⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣅⡄⠀⠀⠀⠀⠬⢭⣭⣩⣭⣭⣭⣭⣭⣭⣭⣭⣭⡭⡭⢭⣭⣭⣭⣭⣅⢬⣁⠀⠀⠀⠀ ⢸⣿⣧⣋⣻⣉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠁⢀⣱⡀⠀⠉⠁⢀⠠⣮⠋⣿⣻⣿⢿⣿⣿⣿⣿⣿⡿⡹⠃⠁⢿⣿⣿⣿⣿⣻⡭⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣁⣹⣿⡇⠀⠀⠀⣰⡺⠏⠀⠛⢯⣿⣿⣶⣾⣿⡿⠟⠉⠁⠀⠀⠀⢙⠿⣿⣿⣿⣿⣁⡀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣮⣧⠀⠀⢀⣀⣤⣴⣞⢛⡅⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠕⢩⣿⣷⣶⡶⠒⠀⠈⣴⠄⠀⠰⠆⠐⢿⣙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⢶⣧⡤⠀⠀⠀⠀ ⢸⣿⡟⣿⣿⣿⢿⡛⠛⠐⠟⡛⠋⡛⡛⠛⢻⣗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠟⠻⠋⠠⠀⠀⠀⢛⠃⢀⣀⡀⠀⠀⣭⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠈⠙⢇⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣂⠀⠀⠀⣀⣀⣸⡗⠛⠛⠛⠃⠉⠈⡀⠀⠀⠀⠀⠀⠀⡠⠤⠤⠀⠀⢀⡾⠄⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂⠀⠘⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⢶⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠈⡉⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠑⠀⠀⠀⠀⠀⡀⠀⠘⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⢰⣶⣾⣶⣾⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣯⣭⣭⣥⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣷⢀⣀⣀⣀⣀⣲⣎⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢻⣿⡿⣿⢻⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣾⣶⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⠀⢸⣿⠇⢀⠀⢀⠂⠤⣀⡀⠀⠈⣴⢀⡟⠺⠇⡗⡄⠀⠐⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭ ⢸⣿⡟⠹⣃⣚⣛⣛⣛⣛⣛⣛⣛⣒⠉⠋⠛⠀⣤⣤⡈⢸⠀⠘⠀⠀⡀⠈⠁⠚⡩⢸⡆⢠⡇⡛⠌⢰⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠀⠈⠉⠉⠝⠛⢉⢻⡗⠱⢀⠀⠀⢀⠀⠀⠀⠚⢾⠸⣿⠀⠀⠆⠀⠀⠤⠶⣽⢗⠸⣇⡁⠁⢸⠠⢠⡤⣠⣿⣿⣿⣿⣿⣶⣾⣶⣾⣶⣿⣷⣿⣶⣷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⠸⣿⠀⠀⠀⠀⠀⣠⡤⢟⣒⣰⣆⣠⣠⡬⠤⢼⡟⠋⢸⣿⣿⣿⣿⡖⣖⢳⡟⡿⣺⢛⣛⢒⢛⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣶⣶⣾⣾⣿⣶⣶⣶⣶⣶⣷⣷⣶⣿⣷⣿⣷⣶⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣾⣿⣶⣶⣷⣾⣶⣶⣾⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⠸ ⠀⠀⠀⣄⠠⠀⢀⢨⢋⢉⢉⠉⠉⡉⡀⡄⡄⠀⢈⠉⠉⠉⠁⡄⢀⠀⠀⢉⠉⠡⡀⠀⠀⡀⡀⡄⡄⠀⢠⠀⡄⡀⡀⡀⡄⠀⠀⠠⢀⢀⢀⢀⠀⠀⠀⣤⢠⢀⠀⠀⠀⢠⠀⢀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⠁⠐⠙⠘⠘⠘⠙⠈⠁⠃⠂⠃⠃⠀⠀⠘⠙⠁⠀⠃⠈⠀⠈⡐⠀⠀⠀⠀⠀⠃⠃⠃⠃⠀⠘⠀⠃⠀⠋⠃⠃⠀⠀⠀⠈⠄⠈⠉⠈⠁⠀⠁⠙⠐⠈⠀⠀⠘⠀⠐⠁⠀⠈⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⣀⣤⠶⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣲⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣴⣲⣶⣶⣶⣶⡄⢀⣒⣲⣖⣐⣖⣆⣆⡄⠀⠀⢰⣴⡂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⡆⠀⢀⣠⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠶⠂⠀⢛⡉⢳⣼⡽⢭⣿⣿⣿⣯⣿⣿⣃⣼⣿⣿⣿⣗⡼⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣠⣬⣭⣭⡥⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡅⠄⠀⠀⠀⠀⠬⢭⣭⣩⣭⣭⣭⣭⣭⣭⣥⣬⣭⡍⡭⢭⣭⣭⣭⣭⡥⢌⠁⠀⠀⠀⠀ ⢸⣿⣧⣋⣻⣉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⢀⣱⡈⠀⠉⠀⠀⠀⣮⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠃⠁⢿⣿⣿⣿⣟⣹⣑⠁⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⣿⡇⠀⠀⠀⢠⡲⠏⠀⠙⢿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⢙⠻⣿⣿⣿⣟⠁⠁⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣮⣧⠀⠀⢀⣀⣤⡴⣞⢛⡅⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣷⣶⣶⠒⠀⠀⣴⡄⠀⠰⠆⠲⢶⠾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣶⣧⡄⠀⠀⠀⠀ ⢸⣿⡟⣿⣿⣿⢿⡛⠛⠐⠟⡛⠉⡓⡛⠛⢻⣗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠟⠿⠋⠀⠀⠀⠀⢿⡇⠀⢀⡀⠀⠀⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠈⠙⠇⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣒⠀⠀⠀⣀⠀⣨⣗⠘⠛⠛⠋⠀⠻⠄⠀⠀⠀⠀⠀⠀⡀⠤⠤⠀⠀⢀⡴⠄⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠘⠙⠁⠀⠁⠀⠀⠀⠀⠀⠀⢲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡉⠈⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠑⠀⠀⠀⠀⠀⡀⠀⠘⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⢰⣶⣾⣶⣾⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣾⣭⣭⣥⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣰⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣶⢀⣄⣀⣀⣀⣤⣏⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢻⣿⡟⣿⢻⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣾⣶⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⠀⢸⣿⠇⢀⠀⢀⠂⠤⣀⡀⠀⠈⣴⢀⡟⠺⠇⡗⡄⠀⠐⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭ ⢸⣿⡟⠱⣃⣚⣛⣛⣛⣛⣛⣛⣛⣒⠉⠋⠛⠀⣤⣤⠈⢸⠀⠘⠀⠀⡀⠈⠁⠚⡩⢸⡆⢠⡇⡛⠌⢰⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠀⠁⠉⠙⠛⠛⢉⢻⡗⠸⢀⠀⠀⢀⠀⠀⠀⠚⢾⠸⣿⠀⠀⠆⠀⠀⠤⠶⣽⢗⠸⣇⡁⠁⢸⠠⢠⡤⣠⣿⣿⣿⣿⣿⣶⣾⣶⣾⣶⣿⣷⣿⣶⣷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⠸⣿⠀⠀⠀⠀⠀⣠⡤⢟⣒⣰⣆⣠⣠⡬⠤⢼⡟⠋⢸⣿⣿⣿⣿⡖⣖⢳⡟⡿⣺⢛⣛⢒⢛⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣶⣶⣾⣾⣿⣶⣶⣶⣶⣶⣷⣷⣶⣿⣷⣿⣷⣶⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣾⣿⣶⣶⣷⣾⣶⣶⣾⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⠸ ⠀⠀⠀⣄⠠⢀⣉⢩⣉⢉⡉⢉⡉⡉⡀⡄⡄⠀⠨⠍⢉⡉⠁⡄⢀⣀⠈⣉⠉⢁⠄⢀⠀⡀⡀⡄⡄⠀⢠⠀⣄⡀⣀⡀⣄⠀⠀⠤⢀⣀⢀⢀⢀⡀⠀⣌⢠⢉⡉⣀⠀⢨⠉⢉⠁⠈⣀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⠁⠐⠝⠘⠘⠈⠙⠈⠀⠃⠂⠃⠃⠀⠀⠕⠉⠉⠀⠃⠘⠀⠘⣄⠀⠀⠈⠀⠀⠃⠃⠃⠃⠀⠘⠀⠃⠀⠊⠃⠃⠀⠀⠀⠈⠄⠈⠉⠈⢠⠀⠁⠚⠀⠜⠠⠀⠸⠤⠐⠁⠀⠡⠂⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⣀⣤⠶⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣲⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⣔⣴⣶⣶⣶⣶⣶⡆⠀⢒⣲⣖⣐⣖⣆⣆⡆⠀⠀⢰⢴⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⡆⠀⢀⣠⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠶⠂⠀⢹⡉⢳⣤⣷⣶⣾⣿⣿⡿⢿⣿⡇⣸⣿⣿⣾⣷⢬⠀⠐⠀⠀⠀⠀⠀ ⠀⣀⣠⣬⣭⣭⡥⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣁⣄⠀⠀⠀⠀⠬⢭⣭⣩⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⠭⢭⣭⣭⣭⣭⣥⢨⡁⠀⠀⠀⠀ ⢸⣿⣧⣋⣻⣉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣁⣱⡀⠀⠉⠁⠀⢠⣮⠏⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠁⢿⣿⣿⣿⣿⣟⣥⣀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣩⣿⣿⡇⠀⠀⠀⢠⡾⠟⠂⠙⢿⡹⣿⣾⣿⣿⡿⠟⠋⠁⠀⠀⠀⢙⠿⣿⣿⣿⣿⣁⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣮⣧⠀⠀⢀⣀⣤⠴⣶⣻⡅⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣵⢼⣿⣷⣶⡶⠒⠀⠈⣴⡄⠀⢐⠶⠢⠻⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣶⣧⡄⠀⠀⠀⠀ ⢸⣿⡟⣿⣿⣿⢿⡛⠛⠐⠟⡛⠁⡛⡛⠛⢻⣗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⡟⠿⠋⠀⠀⠀⠀⢿⠇⠀⢀⡀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠈⠙⠃⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣒⠀⠀⠀⣀⠀⢰⣗⠘⠛⠛⠛⠀⠻⠀⠀⠀⠀⠀⠀⠀⡠⠤⠤⠀⠀⢀⡴⠄⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂⠀⠘⠙⠁⠀⠁⠀⠀⠀⠀⠀⠀⢲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡉⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠑⠀⠀⠀⠀⠀⡀⠀⠘⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠿⠿⠿⠿⠛⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⢰⣶⣾⣶⣾⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣯⣭⣭⣥⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣶⢀⣆⣀⣀⣀⣲⣎⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢻⣿⡿⣿⢻⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣾⣶⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⠀⢸⣿⠇⢀⠀⢀⠂⠤⣀⡀⠀⠈⣴⢀⡟⠺⠇⡗⡄⠀⠐⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭ ⢸⣿⡟⠹⣃⣚⣛⣛⣛⣛⣛⣛⣛⣒⠉⠋⠋⠀⣤⣤⡈⢸⠀⠘⠀⠀⡀⠈⠁⠚⡩⢸⡆⢠⡇⡛⠌⢰⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠀⠁⠋⠙⠙⠛⢙⢻⡗⠹⢀⠀⠀⢀⠀⠀⠀⠚⢾⠸⣿⠀⠀⠆⠀⠀⠤⠶⣽⢗⠸⣇⡁⠁⢸⠠⢠⡤⣠⣿⣿⣿⣿⣿⣶⣾⣶⣾⣶⣿⣷⣿⣶⣷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⠸⣿⠀⠀⠀⠀⠀⣠⡤⢟⣒⣰⣆⣠⣠⡬⠤⢼⡟⠋⢸⣿⣿⣿⣿⡖⣖⢳⡟⡿⣺⢛⣛⢓⢛⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣶⣶⣾⣾⣿⣶⣶⣶⣶⣶⣷⣷⣶⣿⣷⣿⣷⣶⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣾⣿⣶⣶⣷⣾⣶⣶⣾⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⠸ ⠀⠀⠀⡄⠠⠀⡉⢩⣭⠉⡉⢉⡉⢉⠀⣤⣀⠀⠨⠍⢉⡉⠁⡄⠀⢀⠈⡉⠉⢁⠤⢀⡀⠀⡀⡤⣤⠀⢤⠤⣄⠀⢀⠀⣀⠀⠠⢄⠀⡀⠀⡀⢀⡀⠀⣄⢡⠈⡉⣉⠁⢨⠤⠉⢀⠀⢀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠏⠂⠰⠼⠸⠸⠰⠼⠠⠄⠣⠁⠇⠣⠀⠨⠕⠠⠄⠀⠇⠸⠀⠘⢤⠀⠠⠭⠂⠄⠧⠇⠇⠇⠀⠸⠀⠇⠀⠦⠇⠇⠀⠀⠀⠈⠌⠈⠈⠀⠄⠠⠁⠺⠠⠜⠠⠀⠸⠭⠀⠣⠀⠥⠀⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⣀⣤⠶⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣲⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⣰⣦⣶⣶⣶⣶⣶⡆⠀⠒⣲⣖⣐⣖⣆⣆⡆⠀⠀⢰⢰⡢⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⡆⠀⢀⣠⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠂⠀⣹⡈⢰⣤⣷⣖⣾⣿⣿⣿⢿⣿⡇⣰⣿⣿⣿⡓⣲⠂⠀⠀⠀⠀⠀⠀ ⠀⣠⣠⣬⣭⣭⡥⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣁⡌⠀⠀⠀⠀⠬⢭⣭⣩⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⠭⢭⣭⣭⣭⣭⣥⢈⠁⠀⠀⠀⠀ ⢸⣿⣧⣋⣻⣉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠁⣀⣱⡀⠀⠉⠁⠀⠠⣮⡟⣼⡿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠇⠁⢿⣿⣿⣿⣿⣽⣃⡀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣑⣾⣿⡇⠀⠀⠀⢠⡺⠏⠆⠘⢿⡹⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⢙⠻⣿⣿⣿⣟⣡⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣮⣇⠀⠀⢀⣀⣤⢴⣶⢻⡅⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠯⢽⣿⣷⣶⡶⠖⠀⠈⣴⡀⠀⢐⠾⠢⠈⣝⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣶⣧⡄⠀⠀⠀⠀ ⢸⣿⡟⣿⣿⣿⢿⡛⠛⠐⠟⡛⠉⡛⡛⠛⢻⣗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠠⠟⠿⠋⠈⠀⠂⠀⠻⡗⠀⢀⡀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠈⠙⠧⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⠀⠀⠀⢀⠀⠐⣿⠘⠛⠛⠛⠀⠛⠀⠀⠀⠀⠀⠀⠀⡠⠤⠤⠀⠀⢀⡴⠄⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠘⠙⠃⠀⠉⠀⠀⠀⠀⠀⠀⢰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡉⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠑⠀⠀⠀⠀⠀⡀⠀⠘⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⢰⣶⣾⣶⣾⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣯⣭⣭⣥⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣰⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣶⢀⣆⣀⣀⣀⣶⣎⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢻⣿⡿⣿⢻⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣾⣶⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⠀⢸⣿⠇⢀⠀⢀⠂⠤⣀⡀⠀⠈⣴⢀⡟⠺⠇⡗⡄⠀⠐⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭ ⢸⣿⡟⠱⣃⣚⣛⣛⣛⣛⣛⣛⣛⣒⠉⠋⠛⠀⣤⣤⠈⢸⠀⠘⠀⠀⡀⠈⠁⠚⡩⢸⡆⢠⡇⡛⠌⢰⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠀⠁⠉⠙⠟⠛⢉⢻⡗⠸⢀⠀⠀⢀⠀⠀⠀⠚⢾⠸⣿⠀⠀⠆⠀⠀⠤⠶⣽⢗⠸⣇⡁⠁⢸⠠⢠⡤⣠⣿⣿⣿⣿⣿⣶⣾⣶⣾⣶⣿⣷⣿⣶⣷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⠸⣿⠀⠀⠀⠀⠀⣠⡤⢟⣒⣰⣆⣠⣠⡬⠤⢼⡟⠋⢸⣿⣿⣿⣿⡖⣖⢳⡟⡿⣺⢛⣛⢒⢛⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣶⣶⣾⣾⣿⣶⣶⣶⣶⣶⣷⣷⣶⣿⣷⣿⣷⣶⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣾⣿⣶⣶⣷⣾⣶⣶⣾⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⠸ ⠀⠀⠀⡀⠀⠀⠉⢉⠭⠉⠉⠉⠉⠉⠀⡠⡀⠀⠨⠍⠉⠉⠁⡄⠀⠀⠈⠉⠉⢁⠀⢀⠀⠀⠀⡤⡠⠀⢄⠄⡄⠀⠀⠀⡀⠀⠠⢀⠀⠀⠀⠀⠀⠈⠁⣅⢩⠈⠉⠀⠀⢈⠁⠉⠉⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠏⠂⠰⠼⠸⠸⠰⠼⠠⠆⠇⠅⠇⠇⠀⠨⠕⠢⠄⠀⠇⠸⠀⠘⢤⠀⠠⠭⠀⠀⠧⠇⠇⠇⠀⠸⠀⠇⠁⠦⠇⠇⠀⠀⠠⠨⠌⠈⠈⠀⠄⠠⠁⠺⠠⠜⠠⠀⠸⠭⠨⠃⠀⠥⠀⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⣀⣤⠶⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣲⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⣦⣶⣶⣶⣶⣶⡆⠀⠒⣲⣖⣐⣖⣆⣆⡆⠀⠀⢰⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⡆⠀⢀⣠⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠂⠀⢙⡈⢳⣤⣷⣟⣾⣿⣿⣿⢿⣿⣏⣰⣿⣿⣿⣷⡬⠀⠐⠀⠀⠀⠀⠀ ⠀⣠⣠⣬⣭⣭⡥⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⡌⠀⠀⠀⠀⠬⢭⣭⣨⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⠩⢭⣭⣭⣭⣭⣥⣨⡀⠀⠀⠀⠀ ⢸⣿⣧⣋⣻⣉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣀⣱⡀⠀⠉⠀⠀⠠⣮⡟⣼⡿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠇⠁⢿⣿⣿⣿⣿⣽⣕⢀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣫⣿⣿⡏⠀⠀⠀⢠⡾⡏⠄⠘⢿⡽⣿⣶⣿⣿⡿⠟⠋⠁⠀⠀⠀⢙⢻⣿⣿⣿⣯⣀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣬⣧⠀⠀⢀⣀⣤⣴⣖⣛⡅⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⢾⣿⣷⣶⡶⠒⠀⠈⣴⡄⠀⢐⠾⠢⠺⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣶⣧⡤⠀⠀⠀⠀ ⢸⣿⡟⣿⣿⣿⢿⡛⠛⠐⠟⡛⠉⡓⡓⠛⢻⡗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠽⠋⠊⠀⠀⠀⠻⠓⠀⢀⡀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠈⠛⠇⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣒⠀⠀⠀⢀⠀⠐⣿⠘⠛⠛⠛⠀⠙⠀⠀⠀⠀⠀⠀⠀⡠⠤⠤⠀⠀⠀⡶⠄⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠘⠙⠃⠀⠉⠀⠀⠀⠀⠀⠀⢰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡉⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠑⠀⠀⠀⠀⠀⡀⠀⠘⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⢰⣶⣾⣶⣾⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣾⣭⣭⣥⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣰⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣶⢈⣄⣀⣀⣀⣶⣎⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢻⣿⡿⣿⢻⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣾⣶⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⠀⢸⣿⠇⢀⠀⢀⠂⠤⣀⡀⠀⠈⣴⢀⡟⠺⠇⡗⡄⠀⠐⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭ ⢸⣿⡟⠹⣃⣚⣛⣛⣛⣛⣛⣛⣛⣒⠉⠋⠋⠀⣤⣤⡈⢸⠀⠘⠀⠀⡀⠈⠁⠚⡩⢸⡆⢠⡇⡛⠌⢰⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠀⠁⠋⠙⠙⠛⢙⢻⡗⠹⢀⠀⠀⢀⠀⠀⠀⠚⢾⠸⣿⠀⠀⠆⠀⠀⠤⠶⣽⢗⠸⣇⡁⠁⢸⠠⢠⡤⣠⣿⣿⣿⣿⣿⣶⣾⣶⣾⣶⣿⣷⣿⣶⣷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⠸⣿⠀⠀⠀⠀⠀⣠⡤⢟⣒⣰⣆⣠⣠⡬⠤⢼⡟⠋⢸⣿⣿⣿⣿⡖⣖⢳⡟⡿⣺⢛⣛⢓⢛⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣶⣶⣾⣾⣿⣶⣶⣶⣶⣶⣷⣷⣶⣿⣷⣿⣷⣶⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣾⣿⣶⣶⣷⣾⣶⣶⣾⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⠸ ⠀⠀⠀⡀⢀⠀⠉⢉⠍⠛⠉⠉⠙⠉⠀⡀⡀⠀⠘⠛⠛⠛⠁⡀⠀⠀⠈⠛⠋⢁⠀⠀⠀⠀⠀⡀⡠⠀⢀⠀⡄⠀⠀⠀⡀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⣁⢉⠉⠉⠁⠀⢈⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠏⠂⠰⠺⠸⠸⠰⠺⠀⠂⠇⠅⠇⠇⠀⠈⠰⠲⠂⠀⠇⠘⠀⠐⠨⠀⠠⠁⠀⠀⠇⠇⠇⠇⠀⠸⠀⠇⠁⠖⠇⠇⠀⠀⠠⠨⠌⠈⠈⠀⠀⠠⠉⠺⠨⠐⠀⠀⠸⠀⠨⠂⠀⠑⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⣀⣤⠴⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣢⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣠⣤⣤⣤⣤⣤⡄⠀⠀⣰⣄⣐⣄⣆⣄⡦⠀⠀⢠⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⡆⠀⢀⣠⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠶⠂⠀⣙⡈⢳⣤⣶⣾⣾⣿⣿⣿⣿⣿⣿⣠⣿⣿⣿⣏⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣤⣬⣭⣭⡥⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣍⡥⠀⠀⠀⠀⠬⢭⣭⣩⣭⣭⣭⣭⣭⣭⣭⣥⣭⣭⠩⢭⣭⣭⣭⣭⣥⢬⡀⠀⠀⠀⠀ ⢸⣿⣇⣋⣻⣉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣀⣱⡀⠀⠉⠁⠀⠠⣮⡟⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠇⠁⢿⣿⣿⣿⣿⣽⡷⠆⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢕⣿⣿⡇⠀⠀⠀⢰⡺⠏⠆⠘⢿⡽⣿⣷⣿⣿⡿⠟⠉⠁⠀⠀⠀⢙⠻⣿⣿⣿⣟⡋⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣮⣧⠀⠀⢀⣀⣤⣴⣶⣛⡅⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢻⣿⣷⣶⡶⠒⠀⠈⣴⡄⠀⢐⠞⠢⠨⢽⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣶⣧⡄⠀⠀⠀⠀ ⢸⣿⡟⣿⣿⣿⢿⡛⠛⠒⠟⡛⠁⡛⡛⠛⢻⡗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢡⡯⠿⠋⠈⠀⠂⠀⠻⠗⠀⢀⡀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠈⠛⠗⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣖⠀⠀⠀⢀⠀⠐⣿⠘⠛⠛⠛⠀⠉⠀⠀⠀⠀⠀⠀⠀⡠⠤⠤⠀⠀⢀⡶⠄⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂⠀⠘⠙⠃⠀⠉⠀⠀⠀⠀⠀⠀⢰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡉⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠑⠀⠀⠀⠀⠀⡀⠀⠘⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠿⠿⠿⠿⠛⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⢰⣶⣾⣶⣾⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣿⣭⣭⣥⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣶⢐⣄⣀⣀⣀⣶⣎⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢻⣿⡿⣿⢻⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣾⣶⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⠀⢸⣿⠇⢀⠀⢀⠂⠤⣀⡀⠀⠈⣴⢀⡟⠺⠇⡗⡄⠀⠐⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭ ⢸⣿⡟⠹⣃⣚⣛⣛⣛⣛⣛⣛⣛⣒⠉⠛⠙⠀⣤⣤⠈⢸⠀⠘⠀⠀⡀⠈⠁⠚⡩⢸⡆⢠⡇⡛⠌⢰⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠀⠈⠉⠙⠙⠛⢙⢻⡗⠰⢀⠀⠀⢀⠀⠀⠀⠒⢶⠸⣿⠀⠀⠆⠀⠀⠤⠶⣽⢗⠸⣇⡁⠁⢸⠠⢠⡤⣠⣿⣿⣿⣿⣿⣶⣾⣶⣾⣶⣿⣷⣿⣷⣷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣚ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⠸⣿⠀⠀⠀⠀⠀⣠⡤⢟⣒⣰⣆⣠⣠⡬⠤⢼⡟⠋⢹⣿⣿⣿⣿⡖⣖⢳⡟⡿⣻⢛⣛⢓⢛⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣶⣶⣾⣾⣿⣶⣶⣶⣶⣶⣷⣷⣶⣿⣷⣿⣷⣶⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣾⣿⣶⣶⣷⣾⣶⣶⣾⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⠸ ⠀⠀⠀⡀⢀⠀⠛⢛⠛⠛⠛⠛⠛⠋⠀⡀⡀⠀⠘⠛⠛⠛⠃⡀⠀⠀⠘⠛⠛⠃⠀⠀⠀⠀⠀⡀⡀⠀⢀⠀⡀⠀⠀⠀⡀⠀⠀⢀⠀⠀⠀⠀⠒⠀⠒⡐⢚⠛⠁⠀⠀⢈⠉⠛⠚⠚⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠏⠂⠨⠺⠸⠹⠘⠳⠘⠂⠇⠅⠇⠇⠀⠀⠠⠚⠓⠀⠇⠘⠉⠰⠩⠀⠀⠀⠈⠀⠇⠇⠇⠇⠀⠸⠀⠇⠁⠗⠇⠇⠀⠀⠠⠨⠌⠈⠈⠈⠁⠀⠉⠼⠈⠱⠉⠀⠸⠀⠨⠂⠀⠓⠌⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣭⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣤⣤⣤⡄⠀⠀⣠⣄⣀⣄⣄⣄⡤⠀⠀⢠⣀⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⡆⠀⢀⣠⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠶⠒⠀⢹⡈⢰⣤⣷⣟⣾⣿⣿⣿⢿⣿⣏⣰⣿⣿⣿⣷⣾⠂⠈⠀⠀⠀⠀⠀ ⠀⣠⣤⣬⣭⣭⡥⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣭⡤⠀⠀⠀⠀⠬⢭⣭⣩⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⠩⢭⣭⣭⣭⣭⣥⣨⠀⠀⠀⠀⠀ ⢸⣿⣧⣋⣻⣉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣱⡀⠀⠉⠀⠀⢀⣮⡟⣼⡿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠇⠁⢿⣿⣿⣿⣿⣽⡗⣀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣉⣹⣿⡇⠀⠀⠀⢰⡺⡏⠄⠘⢿⡹⣿⣷⣿⣿⡿⠟⠋⠀⠀⠀⠀⢙⠿⣿⣿⣽⣭⣯⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣮⣧⠀⠀⢀⣀⣤⣴⣶⣛⡅⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⢿⣿⣷⣶⣶⠒⠀⠈⣴⡄⠀⠰⠖⠢⠸⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣶⣧⡤⠀⠀⠀⠀ ⢸⣿⡟⣿⣿⣿⢿⡛⠛⠒⠟⡛⠁⡓⡛⠛⢻⡗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡻⠿⠋⠚⠐⠀⠀⠿⡇⠀⢀⡀⠀⠀⣈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠈⠙⠗⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣖⠀⠀⠀⢀⠀⢀⣿⠘⠛⠛⠛⠀⠉⠀⠀⠀⠀⠀⠀⠀⡠⠤⠤⠀⠀⢀⡴⠄⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂⠀⠘⠙⠃⠀⠉⠀⠀⠀⠀⠀⠀⢰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡉⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠑⠀⠀⠀⠀⠀⡀⠀⠘⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⢰⣶⣾⣶⣾⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣿⣭⣭⣥⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣶⢀⣄⣀⣀⣀⣲⣏⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢻⣿⡿⣿⢻⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣾⣶⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⠀⢸⣿⠇⢀⠀⢀⠂⠤⣀⡀⠀⠈⣴⢀⡟⠺⠇⡗⡄⠀⠐⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭ ⢸⣿⡟⠹⣃⣚⣛⣛⣛⣛⣛⣛⣛⣒⠉⠋⠙⠀⣤⣤⠈⢸⠀⠘⠀⠀⡀⠈⠁⠚⡩⢸⡆⢠⡇⡛⠌⢰⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠀⠁⠋⠙⠙⠛⢙⢻⡟⠹⢀⠀⠀⢀⠀⠀⠀⠚⢶⠸⣿⠀⠀⠆⠀⠀⠤⠶⣽⢗⠸⣇⡁⠁⢸⠠⢠⡤⣠⣿⣿⣿⣿⣿⣶⣾⣶⣾⣶⣿⣷⣿⣷⣷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣚ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⠸⣿⠀⠀⠀⠀⠀⣠⡤⢟⣒⣰⣆⣠⣠⡬⠤⢼⡟⠋⢹⣿⣿⣿⣿⡖⣖⢳⡟⡿⣻⢛⣛⢓⢻⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣶⣶⣾⣾⣿⣶⣶⣶⣶⣶⣷⣷⣶⣿⣷⣿⣷⣶⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣾⣿⣶⣶⣷⣾⣶⣶⣾⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⠸ ⠀⠀⠀⡀⢀⠀⠛⢛⣛⠛⠛⠛⠛⠋⠀⡀⡀⠀⢘⡛⠛⠛⠃⡀⠀⠀⠘⠛⠛⠃⣀⠀⠀⠀⠀⡀⡀⠀⣀⣀⡀⠀⠀⠀⡀⠀⢀⡀⠀⠀⠀⠀⠒⠀⠚⡐⢛⠚⠈⠁⠀⢈⣙⠛⠒⠒⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡗⠄⠠⣱⢸⢹⢈⣱⢈⡁⢎⠆⡏⢏⠀⢀⡢⢈⡑⠀⡇⢸⠉⠰⣁⠀⠈⣒⠌⡁⣇⡇⡏⡏⠀⢸⠀⡏⠁⣌⡆⡏⠀⠀⠀⠀⡅⠀⠁⠈⠁⠀⠉⢼⢈⡱⢉⠀⢸⣒⠠⢎⠀⣋⠈⡁⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣭⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣤⣤⣤⡄⠀⢀⣠⣄⣀⣄⣄⣄⡄⠀⠀⢠⣠⡂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⡆⠀⢀⣠⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠂⠀⣛⡙⢰⣄⣷⣷⣿⣿⣿⡿⣿⣿⡇⣸⣿⣿⣿⣿⣤⠂⠀⠀⠀⠀⠀⠀ ⠀⣀⣤⣬⣭⣭⡥⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡥⡄⠀⠀⠀⠀⠬⢭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣥⠩⠭⣭⣭⣭⣭⣥⢌⡁⠀⠀⠀⠀ ⢸⣿⣇⣋⣻⣉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣀⣰⡀⠀⠉⠁⠀⢠⣮⡟⣼⡿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠇⠁⢿⣿⣿⣿⣿⣽⡧⣀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣁⣘⣿⡇⠀⠀⠀⢠⡺⠏⠆⠘⢿⡹⣿⣾⣿⣿⡿⠟⠋⠀⠀⠀⠀⢙⠿⣿⣿⣿⣿⢏⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣮⣧⠀⠀⢀⣀⣤⢴⣶⣻⡅⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠅⢿⣿⣷⣶⡶⠒⠀⠈⣴⡄⠀⢰⠖⠂⠿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣶⣧⡄⠀⠀⠀⠀ ⢸⣿⡟⣿⣿⣿⢿⡛⠛⠒⠟⡛⠁⡒⡛⠛⢻⡗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠿⠿⠋⠊⠂⠂⠀⠻⡗⠀⠀⡀⠀⠀⣈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠈⠙⠗⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣒⠀⠀⠀⢀⠀⢀⣿⠘⠛⠛⠛⠀⠙⠀⠀⠀⠀⠀⠀⠀⡠⠤⠤⠀⠀⢀⡼⡄⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠘⠛⠃⠈⠉⠀⠀⠀⠀⠀⠀⢰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡉⠉⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠑⠀⠀⠀⠀⠀⡀⠀⠘⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⢰⣶⣾⣶⣾⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣿⣭⣭⣥⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣰⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣶⢐⣄⣀⣀⣀⣲⣎⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢻⣿⡿⣿⢻⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣾⣶⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⠀⢸⣿⠇⢀⠀⢀⠂⠤⣀⡀⠀⠈⣴⢀⡟⠺⠇⡗⡄⠀⠐⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭ ⢸⣿⡟⠹⣃⣚⣛⣛⣛⣛⣛⣛⣛⣒⠉⠋⠙⠀⣤⣤⠈⢸⠀⠘⠀⠀⡀⠈⠁⠚⡩⢸⡆⢠⡇⡛⠌⢰⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠀⠁⠋⠙⠙⠛⢙⢻⡗⠹⢀⠀⠀⢀⠀⠀⠀⠒⢶⠸⣿⠀⠀⠆⠀⠀⠤⠶⣽⢗⠸⣇⡁⠁⢸⠠⢠⡤⣠⣿⣿⣿⣿⣿⣶⣾⣶⣾⣶⣿⣷⣿⣷⣷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣚ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⠸⣿⠀⠀⠀⠀⠀⣠⡤⢟⣒⣰⣆⣠⣠⡬⠤⢼⡟⠋⢹⣿⣿⣿⣿⡖⣖⢳⡟⡿⣻⢛⣛⢓⢛⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣶⣶⣾⣾⣿⣶⣶⣶⣶⣶⣷⣷⣶⣿⣷⣿⣷⣶⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣾⣿⣶⣶⣷⣾⣶⣶⣾⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⠸ ⠀⠀⠀⡀⢀⠀⠛⠛⣛⠛⠛⠛⠛⠋⠀⣀⠀⠀⢘⡛⠛⠛⠃⡀⠀⠀⠘⠛⠛⠃⣀⠀⠀⠀⠀⣀⢀⠀⣀⣀⡀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠐⠀⠓⡒⢒⠚⠁⠀⠀⢈⣉⠛⠂⠒⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡗⠄⢠⣰⢸⢰⢠⣰⢀⡄⣆⡂⡇⣇⠀⢐⡢⢄⡀⠀⡇⢰⠀⠰⣀⠀⢈⣒⠌⡀⣆⡆⡇⡇⠀⢸⠀⡇⠂⣄⡆⡇⠀⠀⠈⠀⡄⠀⠀⠀⠀⠀⠉⢼⢀⡰⢉⠀⢸⣒⢐⠆⠀⣂⠈⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⣤⣤⣤⣤⣤⣤⡄⠀⠀⣠⣄⣀⣄⣄⣄⡄⠀⠀⢠⣠⠢⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⡆⠀⢀⣠⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠒⠀⣻⡈⢳⣤⣷⣗⣾⣿⣿⣿⢿⣿⣇⣰⣿⣿⣿⣗⡒⠄⠀⠀⠀⠀⠀⠀ ⠀⣀⣤⣬⣭⣭⡥⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣅⢄⠀⠀⠀⠀⠬⢭⣭⣩⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⠩⠭⣭⣭⣭⣭⣥⢌⡀⠀⠀⠀⠀ ⢸⣿⣧⣋⣻⣉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⢀⣱⡀⠀⠉⠁⠀⢀⣮⡟⣼⡿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠇⠁⢿⣿⣿⣿⣿⣏⡇⡀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣯⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣿⣿⡇⠀⠀⠀⢠⡺⠏⠄⠘⢿⡹⣿⣾⣿⣿⡿⠟⠋⠁⠀⠀⠀⢙⠿⣿⣿⣾⣷⣁⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣧⠀⠀⢀⣀⣤⣴⣶⣻⡅⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠥⢿⣿⣷⣶⡶⠒⠀⠈⣴⡄⠀⢰⠞⠂⠿⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣶⣧⡄⠀⠀⠀⠀ ⢸⣿⡟⣿⣿⣿⢿⡛⠛⠚⠟⡛⠁⡒⡛⠛⢻⡗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡟⠿⠋⠊⠀⠀⠀⠹⡗⠀⢀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠛⠇⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣒⡀⠀⠀⢀⠀⠀⣿⠘⠛⠛⠛⠀⠉⠀⠀⠀⠀⠀⠀⠀⡀⠤⠤⠀⠀⢀⡼⠄⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠘⠛⠃⠈⠉⠀⠀⠀⠀⠀⠀⢰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡉⠈⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠑⠀⠀⠀⠀⠀⡀⠀⠘⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⢰⣶⣾⣶⣾⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣿⣭⣭⣥⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣰⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣶⢐⣄⣀⣀⣀⣲⣎⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢻⣿⡿⣿⢻⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣾⣶⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⠀⢸⣿⠇⢀⠀⢀⠂⠤⣀⡀⠀⠈⣴⢀⡟⠺⠇⡗⡄⠀⠐⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭ ⢸⣿⡟⠹⣃⣚⣛⣛⣛⣛⣛⣛⣛⣒⠉⠛⠙⠀⣤⣤⠈⢸⠀⠘⠀⠀⡀⠈⠁⠚⡩⢸⡆⢠⡇⡛⠌⢰⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠀⠉⠉⠙⠙⠛⢙⢻⡟⠰⢀⠀⠀⢀⠀⠀⠀⠚⢶⠸⣿⠀⠀⠆⠀⠀⠤⠾⣽⢗⠸⣇⡁⠁⢸⠠⢠⡤⣠⣿⣿⣿⣿⣿⣶⣾⣶⣾⣶⣿⣷⣿⣷⣷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣚ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⠸⣿⠀⠀⠀⠀⠀⣠⡤⢟⣒⣰⣆⣠⣠⡬⠤⢼⡟⠋⢹⣿⣿⣿⣿⡖⣖⢳⡟⡿⣻⢛⣛⢓⢛⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣶⣶⣾⣾⣿⣶⣶⣶⣶⣶⣷⣷⣶⣿⣷⣿⣷⣶⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣾⣿⣶⣶⣷⣾⣶⣶⣾⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⠸ ⠀⠀⠀⠀⠀⠀⠛⠛⣛⠛⠛⠛⠛⠋⠀⢀⠀⠀⠘⠛⠛⠛⠃⡀⠀⠀⠘⠛⠛⠃⠀⠀⠀⠀⠀⢀⢀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠒⠒⠛⠓⠀⠁⠀⠀⠉⠛⠂⠒⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡗⠌⢠⢴⢸⢰⢠⢰⠀⡄⡆⡂⡇⡇⠀⠐⣢⢤⠀⠀⡇⢰⠀⠰⣐⠀⢈⢂⠀⠀⡆⡆⡇⡇⠀⢸⠀⡇⠂⡤⡆⡇⠀⠀⠈⢀⡄⠀⠀⠀⡀⠀⠉⢼⢀⡰⢀⠀⢸⣒⢐⠄⠀⡢⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣀⣤⣠⣄⡄⠀⠀⣠⣄⣀⣄⣄⣄⡄⠀⠀⢀⡀⠢⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⡆⠀⢀⣠⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠶⠒⠀⣸⡈⢰⣤⣷⣟⣾⣿⣿⣿⢿⣿⣏⣰⣿⣿⣿⣧⠾⠂⠀⠀⠀⠀⠀⠀ ⠀⣀⣤⣬⣭⣭⡥⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣥⡄⠀⠀⠀⠀⠬⢭⣭⣩⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⠩⠭⣭⣭⣭⣭⣍⢨⠀⡀⠀⠀⠀ ⢸⣿⣧⣋⣻⣉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣱⡀⠀⠉⠁⠀⢀⣮⡟⣼⡿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠇⠁⢿⣿⣿⣿⣿⢾⣇⡂⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⣋⣽⣿⡇⠀⠀⠀⢠⡺⠏⠂⠘⢿⡹⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⢙⠻⣿⣿⣿⣿⡃⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣮⣇⠀⠀⣀⣀⣤⣴⣶⣻⡁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⢺⣿⣷⣶⡶⠒⠀⠈⣴⡄⠀⢰⡞⠢⠺⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣶⣧⡄⠀⠀⠀⠀ ⢸⣿⡟⣿⣿⣿⢿⡛⠛⠘⠟⡛⠁⡓⡛⠛⢻⡗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡻⠾⠋⠊⠀⠀⠀⠻⡗⠀⢀⡀⠀⠀⣈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠈⠙⠗⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢖⡀⠀⠀⢀⠀⠀⣿⠘⠛⠛⠛⠀⠉⠀⠀⠀⠀⠀⠀⠀⡠⠤⠤⠀⠀⢀⡼⡄⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠘⠛⠃⠈⠉⠀⠀⠀⠀⠀⠀⢰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡉⠈⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠑⠀⠀⠀⠀⠀⡀⠀⠘⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⢰⣶⣾⣶⣾⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣿⣭⣭⣥⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣰⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣶⢐⣄⣀⣀⣀⣶⣎⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢻⣿⡿⣿⢻⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣾⣶⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⠀⢸⣿⠇⢀⠀⢀⠂⠤⣀⡀⠀⠈⣴⢀⡟⠺⠇⡗⡄⠀⠐⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭ ⢸⣿⡟⠹⣃⣚⣛⣛⣛⣛⣛⣛⣛⣒⠉⠋⠙⠀⣤⣤⠈⢸⠀⠘⠀⠀⡀⠈⠁⠚⡩⢸⡆⢠⡇⡛⠌⢰⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠀⠁⠋⠙⠙⠛⢙⢻⡟⠹⢀⠀⠀⢀⠀⠀⠀⠚⢶⠸⣿⠀⠀⠆⠀⠀⠤⠶⣽⢗⠸⣇⡁⠁⢸⠠⢠⡤⣠⣿⣿⣿⣿⣿⣶⣾⣶⣾⣶⣿⣷⣿⣷⣷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣚ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⠸⣿⠀⠀⠀⠀⠀⣠⡤⢟⣒⣰⣆⣠⣠⡬⠤⢼⡟⠋⢹⣿⣿⣿⣿⡖⣖⢳⡟⡿⣻⢛⣛⢓⢛⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣶⣶⣾⣾⣿⣶⣶⣶⣶⣶⣷⣷⣶⣿⣷⣿⣷⣶⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣾⣿⣶⣶⣷⣾⣶⣶⣾⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⠸ ⠀⠀⠀⠀⠀⠀⠻⠿⠿⠿⠟⠿⠟⠋⠀⠀⠀⠀⠸⠿⠿⠿⠃⠀⠀⠀⠘⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠒⠐⠛⠚⠈⠁⠉⠈⠑⠛⠂⠒⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡗⠌⢀⢴⢸⢰⢰⢤⠠⠄⡆⡂⡇⡇⠀⠐⢠⠴⠄⠀⡇⢰⠐⢠⢐⠀⠀⠀⠀⠀⡆⡆⡇⡇⠀⢸⠀⡇⠂⡦⡆⡇⠀⠀⢈⢀⠄⠀⠀⠀⢠⠠⠑⢼⢐⢠⠀⠀⢸⠀⢐⠄⠀⠦⡐⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣂⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⡀⠀⣀⣀⣀⣀⣀⣄⣀⡀⠀⠀⢀⡀⣂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⡆⠀⢀⣠⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠶⠒⠀⣙⡈⢳⣼⡷⢯⣿⣿⣿⣭⣿⣿⣇⣼⣿⣿⣿⣇⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣤⣬⣭⣭⡥⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣅⠄⠀⠀⠀⠀⠬⢭⣭⣩⣭⣭⣭⣭⣭⣭⣥⣭⣭⡍⡭⢭⣭⣭⣭⣭⡥⢤⠅⠀⠀⠀⠀ ⢸⣿⣇⣋⣻⣉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⢀⣱⡀⠀⠉⠀⠀⠀⣮⡟⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠃⠁⢿⣿⣿⣿⣿⣽⡃⣀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣉⣽⣿⡇⠀⠀⠀⢠⡸⠏⠄⠘⢿⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⢙⠿⣿⣿⣿⣷⠁⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣯⣥⠀⠀⢀⣀⣤⣴⣶⣻⡅⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡵⢿⣿⣷⣶⡶⠒⠈⠈⣴⡄⠀⠠⡖⠰⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣶⣧⣄⠀⠀⠀⠀ ⢸⣿⡟⣿⣿⣿⢿⡛⠛⠚⠞⡛⠁⡓⡛⠛⢻⡗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡯⠾⠋⠊⠀⠂⠀⠻⡗⠀⠀⠀⠀⠀⣈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠈⠙⠇⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣒⡀⠀⠀⢀⠀⢀⣿⠘⠛⠛⠛⠀⠙⠀⠀⠀⠀⠀⠀⠀⡠⠤⠤⠀⠀⢀⡴⠄⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠘⠛⠃⠈⠉⠀⠀⠀⠀⠀⠀⢰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡉⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠑⠀⠀⠀⠀⠀⡀⠀⠘⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⢰⣶⣾⣶⣾⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣯⣭⣭⣥⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣰⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣶⢀⣄⣀⣀⣀⣶⣎⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢻⣿⡿⣿⢻⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣾⣶⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢟⣽⢿⣿⣿⣯⣟⠿⣿⣿⣿⣿⠀⢸⣿⠇⢀⠀⢀⠂⠤⣀⡀⠀⠈⣴⢀⡟⠺⠇⡗⡄⠀⠐⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭ ⢸⣿⡟⠹⣃⣚⣛⣛⣛⣛⣛⣛⣛⣒⠉⠛⠙⠀⣤⣤⠈⢸⠀⠘⠀⠀⡀⠈⠁⠚⡩⢸⡆⢰⡇⡛⠌⢰⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠀⠈⠉⠙⠙⠛⢙⢻⡗⠰⢀⠀⠀⢀⠀⠀⠀⠒⢶⠸⣿⠀⠀⠆⠀⠀⠤⠶⣽⢗⠸⣇⡁⠁⢸⠠⢠⡤⣠⣿⣿⣿⣿⣿⣶⣾⣶⣾⣶⣿⣷⣿⣷⣷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣚ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⠸⣿⠀⠀⠀⠀⠀⣠⡤⢟⣒⣰⣆⣠⣠⡬⠤⢼⡟⠋⢹⣿⣿⣿⣿⡖⣖⢳⡟⡿⣻⢛⣛⢓⢛⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣶⣶⣾⣾⣿⣶⣶⣶⣶⣶⣷⣷⣶⣿⣷⣿⣷⣶⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣾⣿⣶⣶⣷⣾⣶⣶⣾⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⠸ ⠀⠀⠀⠀⠀⠀⠿⠿⠿⠿⠿⠿⠟⠋⠀⠀⠀⠀⠸⠿⠿⠿⠃⠀⠀⠀⠘⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠒⠚⠚⠚⠀⠁⠀⠈⠁⠓⠐⠛⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡧⡌⢀⢶⢸⢲⠐⢢⠐⠂⡔⡄⡗⡗⠀⠈⢅⠐⠢⠀⡇⢰⠒⢠⠒⠀⠐⠩⠐⠂⡆⡆⡗⡗⠀⢹⠉⡗⠂⡐⡄⡇⠀⠈⠁⢀⠄⠀⠄⠀⠀⠠⠑⣸⠐⢢⠒⠀⢸⠭⢀⡄⠀⠖⡐⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠀⠀⠁⠈⠀⠈⠉⠈⣁⣈⠀⠁⠈⠀⠈⠁⠈⠁⠀⠁⠀⠀⠀⣓⣀⡀⠉⠀⠁⠉⠁⠁⠁⠀⠈⠀⠁⠀⠈⠁⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⡀⠈⣈⣁⣈⣀⣈⣉⣀⡈⠀⠉⢀⣁⡂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⡆⠀⢀⣠⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⢶⠂⠠⠝⡐⢱⣤⣷⣶⣿⣿⣿⡯⣿⣿⣇⣼⣿⣿⣿⣷⠔⠅⠀⠀⠀⠀⠀⠀ ⠀⣀⣤⣬⣭⣭⡥⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣥⣤⠀⠀⠀⠀⠬⢭⣭⣩⣭⣭⣭⣭⣭⣭⣭⣭⣭⡭⡭⢭⣭⣭⣭⣭⣅⣨⢁⠀⠀⠀⠀ ⢸⣿⣧⣋⣻⣉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣱⡀⠀⠉⠁⠀⠠⣮⡏⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⠁⢿⣿⣿⣿⣿⣿⡇⠅⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⢿⣿⡇⠀⠀⠀⢰⡲⠏⠆⠘⢿⣻⣿⣾⣿⣿⡿⠟⠋⠁⠀⠀⠀⢙⠻⣿⣿⣿⣅⣣⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣮⣧⠀⠀⢀⣀⣤⣴⣶⣻⡅⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡴⢾⣿⣷⣶⡶⠒⠀⠈⣴⡄⠀⠰⠖⠀⠿⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣶⣧⡤⠀⠀⠀⠀ ⢸⣿⡟⣿⣿⣿⢿⡛⠛⠒⠞⡛⠁⡒⡛⠛⢻⡗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠋⠿⠋⠋⠀⠀⠀⠻⠓⠀⢀⡀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠈⠙⠗⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⡀⠀⠀⣀⡀⢐⣿⠘⠛⠛⠛⠀⠛⠀⠀⠀⠀⠀⠀⠀⡠⠤⠄⠀⠀⢀⡶⠄⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠘⠙⠁⠈⠉⠀⠀⠀⠀⠀⠀⢰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡉⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠑⠀⠀⠀⠀⠀⡀⠀⠘⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠿⠿⠿⠿⠛⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⢰⣶⣾⣶⣾⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣿⣭⣭⣥⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣰⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣶⢐⣄⣀⣀⣀⣶⣏⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢻⣿⡿⣿⢻⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣾⣶⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⠀⢸⣿⠇⢀⠀⢀⠂⠤⣀⡀⠀⠈⣴⢀⡟⠺⠇⡗⡄⠀⠐⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭ ⢸⣿⡟⠹⣃⣚⣛⣛⣛⣛⣛⣛⣛⣒⠉⠋⠙⠀⣤⣤⠈⢸⠀⠘⠀⠀⡀⠈⠁⠚⡩⢸⡆⢠⡇⡛⠌⢰⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠀⠁⠋⠙⠙⠛⢙⢻⡗⠹⢀⠀⠀⢀⠀⠀⠀⠚⢶⠸⣿⠀⠀⠆⠀⠀⠤⠶⣽⢗⠸⣇⡁⠁⢸⠠⢠⡤⣠⣿⣿⣿⣿⣿⣶⣾⣶⣾⣶⣿⣷⣿⣷⣷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣚ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⠸⣿⠀⠀⠀⠀⠀⣠⡤⢟⣒⣰⣆⣠⣠⡬⠤⢼⡟⠋⢹⣿⣿⣿⣿⡖⣖⢳⡟⡿⣻⢛⣛⢓⢛⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣶⣶⣾⣾⣿⣶⣶⣶⣶⣶⣷⣷⣶⣿⣷⣿⣷⣶⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣾⣿⣶⣶⣷⣾⣶⣶⣾⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⠸ ⠀⠀⠀⠀⠀⠀⠿⠿⠿⠿⠿⠿⠟⠋⠀⠀⠀⠀⠸⠿⠿⠿⠃⠀⠀⠀⠘⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠒⠐⠓⠚⠉⠀⠀⠀⠑⠚⠚⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡧⡈⢀⢢⢰⢫⢀⢢⠐⠂⡔⡄⡟⡖⠀⠨⢅⡐⠂⠀⡇⢠⠐⢠⠂⠀⠐⠭⡐⠂⡄⡆⡏⡟⠀⢹⠉⡗⠄⡐⡄⡆⠀⠈⠁⢀⠄⠀⠀⠀⠀⠠⠑⣸⠐⢢⠒⠀⢸⠭⢠⡄⠀⠔⡐⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠀⠈⠉⠈⠈⠈⠉⠈⣁⣈⠁⠁⠈⠀⠈⠁⠈⠁⠀⠁⠈⠀⠀⣙⣀⡈⠉⠀⠁⠉⠁⠁⠁⠀⠈⠀⠁⠀⠉⠁⠁⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⡀⠈⢈⣁⣈⣀⣈⣉⣀⡈⠀⠉⢀⣁⢂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⡆⠀⢀⣠⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠂⠀⢛⡈⢲⣤⡷⡶⣿⣿⣿⡯⣿⣿⡇⣼⣿⣿⣿⡷⡸⠂⠀⠀⠀⠀⠀⠀ ⠀⣀⣤⣬⣭⣭⡥⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡁⡌⠀⠀⠀⠀⠬⢭⣭⣩⣭⣭⣭⣭⣭⣭⣭⣭⣭⡥⠭⠭⣭⣭⣭⣭⣥⢬⠁⠀⠀⠀⠀ ⢸⣿⣇⣋⣻⣉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢀⣰⡀⠀⠉⠁⡀⠀⣮⠏⣾⡿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠇⠁⢿⣿⣿⣿⣿⣿⡃⣀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣉⣿⣿⡇⠀⠀⠀⢰⡲⡏⠆⠘⢿⡹⣿⣿⣽⣿⡿⠟⠋⠁⠀⠀⠀⢙⠻⣿⣿⣿⣟⡏⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣮⣇⠀⠀⢀⣀⣤⣴⣶⣻⡅⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⢚⣿⣷⣶⡶⠒⠀⠈⣴⡄⠀⠰⠖⠀⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣶⣧⡤⠄⠀⠀⠀ ⢸⣿⡟⣿⣿⣿⢿⡛⠛⠚⠟⡛⠁⡓⡛⠛⢻⡗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡿⠿⠋⠀⠀⠀⠀⠻⠗⠀⢀⡀⠀⠀⣈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠈⠙⠗⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣖⠀⠀⠀⣀⡀⢐⣿⠘⠛⠛⠛⠀⠛⠀⠀⠀⠀⠀⠀⠀⡠⠤⠤⠀⠀⢀⡴⠄⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂⠀⠘⠙⠃⠈⠉⠀⠀⠀⠀⠀⠀⢰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡉⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠑⠀⠀⠀⠀⠀⡀⠀⠘⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠿⠿⠿⠿⠛⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⢰⣶⣾⣶⣾⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣾⣭⣭⣥⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣿⢀⣀⣀⣀⣀⣶⣎⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢻⣿⡿⣿⢻⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣾⣶⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⠀⢸⣿⠇⢀⠀⢀⠂⠤⣀⡀⠀⠈⣴⢀⡟⠺⠇⡗⡄⠀⠐⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭ ⢸⣿⡟⠹⣃⣚⣛⣛⣛⣛⣛⣛⣛⣒⠉⠋⠙⠀⣤⣤⠈⢸⠀⠘⠀⠀⡀⠈⠁⠚⡩⢸⡆⢠⡇⡛⠌⢰⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠀⠁⠋⠙⠙⠛⢙⢻⡗⠹⢀⠀⠀⢀⠀⠀⠀⠒⢶⠸⣿⠀⠀⠆⠀⠀⠤⠶⣽⢗⠸⣇⡁⠁⢸⠠⢠⡤⣠⣿⣿⣿⣿⣿⣶⣾⣶⣾⣶⣿⣷⣿⣷⣷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣚ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⠸⣿⠀⠀⠀⠀⠀⣠⡤⢟⣒⣰⣆⣠⣠⡬⠤⢼⡟⠋⢹⣿⣿⣿⣿⡖⣖⢳⡟⡿⣻⢛⣛⢓⢛⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣶⣶⣾⣾⣿⣶⣶⣶⣶⣶⣷⣷⣶⣿⣷⣿⣷⣶⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣾⣿⣶⣶⣷⣾⣶⣶⣾⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⠸ ⠀⠀⠀⠀⠀⠀⠿⠿⠿⠿⠿⠿⠟⠉⠀⠀⠀⠀⠸⠿⠿⠿⠃⠀⠀⠀⠸⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠒⠒⠚⠛⠉⠁⠀⠀⠁⠓⠁⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡦⡀⢀⢠⢰⢩⢀⢠⠀⡀⡄⠄⡎⡆⠀⠠⢄⡀⠀⠀⡇⢀⠀⢠⠀⠀⠐⠤⠐⠀⡄⡄⡏⡎⠀⢰⠀⡇⠄⡀⡄⡆⠀⠀⠀⢠⠄⠀⡀⠀⠀⠠⠐⣰⠀⢠⠂⠀⢰⠤⠠⡄⠀⢄⠐⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠀⠈⠉⠈⠈⠈⠉⠈⣁⣁⠁⠁⠁⠀⠈⠁⠈⠀⠀⠁⠈⠀⠀⣙⣀⡈⠈⠀⠀⠉⠁⠁⠁⠀⠈⠀⠁⠀⠉⠁⠁⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⡀⠈⢈⣁⣈⣀⣈⣉⣈⡀⠀⠉⢀⣁⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⡆⠀⢀⣠⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠐⠶⠂⠀⣛⡉⢱⣤⣷⣶⣿⣿⣿⣯⢽⣿⡇⣸⣿⣿⣿⣇⡌⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣤⣬⣭⣭⡥⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣅⡄⠀⠀⠀⠀⠬⢭⣭⣩⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⠩⠭⣭⣭⣭⣭⣥⣈⡁⠀⠀⠀⠀ ⢸⣿⣧⣋⣻⣉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡁⢀⣱⡀⠀⠉⠁⠀⠀⣮⡏⣼⡿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠇⠁⢿⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣉⣼⣿⡇⠀⠀⠀⢠⡲⡏⠀⠘⢿⡹⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⢙⠿⣿⣿⣿⣇⣁⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣅⠀⠀⢀⣀⣤⣤⣾⣻⡁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠍⣺⣿⣷⣶⡶⠒⠀⠈⣴⡄⠀⠰⣖⠢⠻⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣶⣧⡄⠀⠀⠀⠀ ⢸⣿⡟⣿⣿⣿⢿⡛⠛⠘⠗⡛⠁⡓⡛⠛⢻⡗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠿⠿⠉⠈⠀⠀⠀⠻⡗⠀⠀⠀⠀⠀⣈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠈⠙⠯⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣓⠀⠀⠀⢀⠀⠀⣿⠘⠛⠛⠛⠀⠋⠀⠀⠀⠀⠀⠀⠀⡠⠤⠄⠀⠀⢀⣴⡄⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂⠀⠘⠛⠃⠈⠉⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡉⠉⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠑⠀⠀⠀⠀⠀⡀⠀⠘⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠿⠿⠿⠿⠛⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⢰⣶⣾⣶⣾⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣿⣭⣭⣥⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣂⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⢀⣄⣀⣀⣀⣰⣅⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢻⣿⡿⣿⢻⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣾⣶⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢟⣽⢿⣿⣿⣯⣟⠿⣿⣿⣿⣿⠀⢸⣿⠇⢀⠀⢀⠂⠤⣀⡀⠀⠈⣴⢀⡟⠺⠇⡗⡄⠀⠐⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭ ⢸⣿⡟⠹⣃⣚⣛⣛⣛⣛⣛⣛⣛⣒⠉⠛⠙⠀⣤⣤⠈⢸⠀⠘⠀⠀⡀⠈⠁⠚⡩⢸⡆⢰⡇⡛⠌⢰⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠀⠈⠉⠙⠙⠛⢙⢻⡟⠰⢀⠀⠀⢀⠀⠀⠀⠒⢶⠸⣿⠀⠀⠆⠀⠀⠤⠶⣽⢗⠸⣇⡁⠁⢸⠠⢠⡤⣠⣿⣿⣿⣿⣿⣶⣾⣶⣾⣶⣿⣷⣿⣷⣷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣚ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⠸⣿⠀⠀⠀⠀⠀⣠⡤⢟⣒⣰⣆⣠⣠⡬⠤⢼⡟⠋⢹⣿⣿⣿⣿⡖⣖⢳⡟⡿⣻⢛⣛⢓⢛⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣶⣶⣾⣾⣿⣶⣶⣶⣶⣶⣷⣷⣶⣿⣷⣿⣷⣶⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣾⣿⣶⣶⣷⣾⣶⣶⣾⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⠸ ⠀⠀⠀⠀⠀⠀⠿⠿⠿⠿⠿⠿⠟⠋⠀⠀⠀⠀⠸⠿⠿⠿⠃⠀⠀⠀⠸⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠚⠓⠒⠘⠁⠀⠀⠈⠙⠛⠂⠚⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡦⡐⢀⣠⢰⢡⢀⣠⠀⡀⡄⠄⡆⡆⠀⠠⢀⣀⡀⠀⡆⢠⠀⢀⠠⠀⠐⠄⠀⠀⡄⡄⡆⡆⠀⢰⠀⡆⠄⣀⡄⡆⠀⠀⠀⠠⠄⠀⡀⠀⠀⠠⠰⣰⠠⢀⠀⠀⢰⠤⠠⡀⠀⢄⠠⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠀⠈⠈⠈⠈⠈⠈⠀⢀⣁⠁⠁⠁⠀⠀⠀⠀⠀⠀⠁⠈⠀⠀⠌⡀⡀⠀⠀⠀⠁⠁⠁⠁⠀⠈⠀⠁⠀⠁⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⢀⣀⣀⡈⡀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⡆⠀⢀⣠⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠀⠀⠶⠂⠀⣙⡈⢳⣤⡷⡶⣿⣿⣿⡯⣿⣿⡇⣼⣿⣿⣿⢗⣂⡀⠀⠀⠀⠀⠀⠀ ⠀⣀⣤⣬⣭⣭⡥⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣁⡠⠀⠀⠀⠀⠬⢭⣭⣩⣭⣭⣭⣭⣭⣭⣭⣭⣭⡭⠭⢭⣭⣭⣭⣭⣭⢨⠁⠀⠀⠀⠀ ⢸⣿⣇⣋⣻⣉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⣀⣱⡀⠀⠉⠀⠀⢠⣮⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠁⢿⣿⣿⣿⣿⣿⣁⣌⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡇⠀⠀⠀⢰⡺⠏⠀⠙⢷⣻⣷⣿⣿⣯⡿⠟⠋⠀⠀⠀⠀⢙⠿⣿⣿⣿⣿⣀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣮⣥⠀⠀⢀⣀⣤⣶⣾⢻⡅⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢽⣿⣷⣶⡶⠒⠀⠈⣴⡄⠀⠰⡖⠲⣮⣽⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣶⣧⡄⠀⠀⠀⠀ ⢸⣿⡟⣿⣿⣿⢿⡛⠛⠐⠞⡛⠁⡓⡛⠛⢻⡗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠟⠿⠋⠊⠀⠀⠀⢿⡇⠀⠀⠀⠀⠈⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠈⠙⢗⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣒⠀⠀⠀⣀⠀⣠⣇⠘⠛⠛⠓⠀⠛⠀⠀⠀⠀⠀⠀⠀⡠⠤⠄⠀⠀⢀⣴⡄⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠘⠛⠃⠀⠁⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡉⠉⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠑⠀⠀⠀⠀⠀⡀⠀⠘⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠿⠿⠿⠿⠛⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⢰⣶⣾⣶⣾⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣿⣭⣭⣥⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣶⢀⣄⣀⣀⣀⣰⣅⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢻⣿⡿⣿⢻⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣾⣶⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⠀⢸⣿⠇⢀⠀⢀⠂⠤⣀⡀⠀⠈⣴⢀⡟⠺⠇⡗⡄⠀⠐⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭ ⢸⣿⡟⠹⣃⣚⣛⣛⣛⣛⣛⣛⣛⣒⠉⠋⠛⠀⣤⣤⠈⢸⠀⠘⠀⠀⡀⠈⠁⠚⡩⢸⡆⢠⡇⡛⠌⢰⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠀⠁⠋⠙⠙⠛⢙⢻⡗⠹⢀⠀⠀⢀⠀⠀⠀⠒⢶⠸⣿⠀⠀⠆⠀⠀⠤⠶⣽⢗⠸⣇⡁⠁⢸⠠⢠⡤⣠⣿⣿⣿⣿⣿⣶⣾⣶⣾⣶⣿⣷⣿⣷⣷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣚ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⠸⣿⠀⠀⠀⠀⠀⣠⡤⢟⣒⣰⣆⣠⣠⡬⠤⢼⡟⠋⢹⣿⣿⣿⣿⡖⣒⢳⡟⡿⣻⢛⣛⢒⢺⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣶⣶⣾⣾⣿⣶⣶⣶⣶⣶⣷⣷⣶⣿⣷⣿⣷⣶⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣾⣿⣶⣶⣷⣾⣶⣶⣾⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⠸ ⠀⠀⠀⠀⠀⠀⢿⣿⣿⡿⡿⠿⠟⠋⠀⠀⠀⠀⠸⠿⠿⠿⠃⠀⠀⠀⠸⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠒⠊⠚⠓⠛⠛⠉⠀⠀⠈⠙⠛⠛⠒⠂⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣦⡐⠀⣤⢰⢤⠠⣄⢠⠄⡠⠄⡦⡦⠀⠐⡂⣠⣄⠀⡆⢠⠤⢀⠤⠀⠠⢒⠠⠄⡄⡄⡦⡦⠀⢲⠂⡦⠄⢤⡀⡆⠀⠀⠀⢀⠄⠀⡄⠠⠄⠀⠠⢰⠠⢄⠤⠀⢰⠒⠠⡀⠀⡤⠠⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⠀⠈⠊⠈⠈⠀⠚⠐⠀⠑⠁⠃⠑⠀⠐⠊⠀⠂⠀⠃⠀⠀⠈⠦⠀⠀⠂⠀⠂⠑⠃⠃⠃⠀⠈⠀⠃⠀⠑⠁⠑⠀⠐⠂⠀⠂⠀⠂⠐⠂⠀⠂⠙⠐⠊⠐⠀⠘⠒⠈⠁⠀⠐⠁⠂⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⡆⠀⢀⣠⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠀⠐⢶⠒⠀⣻⡈⢳⣤⣶⢶⣿⣿⣿⠿⣿⣿⣇⣸⣿⣿⣿⣿⣿⡃⠐⠀⠀⠀⠀⠀ ⠀⣀⣤⣬⣭⣭⡥⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢈⣥⡥⠀⠀⠀⠀⠬⢭⣭⣩⣭⣭⣭⣭⣭⣭⣭⣭⣭⡭⡭⢭⣭⣭⣭⣭⣅⣬⡁⠀⠀⠀⠀ ⢸⣿⣇⣋⣻⣉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣈⣱⡀⠀⠉⠀⡀⠀⣮⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠇⠁⢿⣿⣿⣿⣿⣿⣃⣀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣟⣿⣿⡇⠀⠀⠀⢠⡲⠏⠆⠙⢿⣻⣿⣮⣽⣿⡿⠟⠋⠀⠀⠀⠀⢙⠻⣿⣿⣿⣿⣹⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣮⣧⠀⠀⣀⣀⣤⡴⣾⢻⡁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡹⢽⣿⣷⣶⡶⠒⠀⠈⣴⡀⠀⠠⡖⠀⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣶⣧⡄⠀⠀⠀⠀ ⢸⣿⡟⣿⣿⣿⢿⡛⠛⠐⠟⡛⠁⡓⡛⠛⢻⡗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡿⠿⠋⠂⠀⠀⠀⠻⡇⠀⠈⠀⠀⠀⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠈⠙⠿⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣒⠀⠀⠀⢀⠀⠀⣧⠘⠛⠛⠓⠀⠛⠀⠀⠀⠀⠀⠀⠀⡠⠤⠄⠀⠀⠀⣴⠄⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠘⠛⠃⠘⠉⠀⠀⠀⠀⠀⠀⢨⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡁⠉⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠑⠀⠀⠀⠀⠀⡀⠀⠘⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠿⠿⠿⠿⠛⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⢰⣶⣾⣶⣾⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣿⣭⣭⣥⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣂⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⢀⣄⣀⣀⣀⣴⣅⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢻⣿⡿⣿⢻⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣾⣶⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢟⣽⢿⣿⣿⣯⣟⠿⣿⣿⣿⣿⠀⢸⣿⠇⢀⠀⢀⠂⠤⣀⡀⠀⠈⣴⢀⡟⠺⠇⡗⡄⠀⠐⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭ ⢸⣿⡟⠹⣃⣚⣛⣛⣛⣛⣛⣛⣛⣒⠉⠛⠙⠀⣤⣤⠈⢸⠀⠘⠀⠀⡀⠈⠁⠚⡩⢸⡆⢠⡇⡛⠌⢰⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠀⠈⠉⠙⠙⠛⢙⢻⡟⠰⢀⠀⠀⢀⠀⠀⠀⠒⢶⠸⣿⠀⠀⠆⠀⠀⠤⠶⣽⢗⠸⣇⡁⠁⢸⠠⢠⡤⣠⣿⣿⣿⣿⣿⣶⣾⣶⣾⣶⣿⣷⣿⣷⣷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣚ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⠸⣿⠀⠀⠀⠀⠀⣠⡤⢟⣒⣰⣆⣠⣠⡬⠤⢼⡟⠋⢹⣿⣿⣿⣿⡖⣖⢳⡟⡿⣻⢛⣛⢓⢛⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣶⣶⣾⣾⣿⣶⣶⣶⣶⣶⣷⣷⣶⣿⣷⣿⣷⣶⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣾⣿⣶⣶⣷⣾⣶⣶⣾⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⠸ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⡿⠿⠟⠋⠀⠀⠀⠀⠸⠿⠿⠿⠃⠀⠀⠀⠸⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠀⠚⠘⠛⠛⠋⠉⠈⠉⠙⠛⠛⠒⠒⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣆⠐⠀⢄⢰⢶⠀⢄⠠⠄⡠⡀⡦⡦⠀⢐⡂⠠⢄⠀⡆⢀⠤⢀⠄⠀⠠⣒⠠⠄⡀⡄⡦⡶⠀⢲⠒⡦⠄⠠⡀⡆⠀⠀⠀⢀⠄⠀⡄⠀⠀⠠⠠⢰⠠⢄⠤⠀⢰⣒⢀⡠⠀⡤⠠⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⠁⠈⠚⠘⠘⠐⠚⠐⠂⠑⠁⠃⠑⠀⠐⠊⠐⠂⠀⠃⠘⠀⠈⠶⠀⠀⠒⠀⠂⠓⠃⠃⠃⠀⠘⠀⠃⠀⠓⠃⠓⠀⠐⠂⠀⠂⠀⠒⠐⠂⠀⠂⠙⠐⠊⠐⠀⠘⠒⠈⠑⠀⠒⠀⠂⣤⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⡆⠀⢀⣠⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡆⡈⠀⠀⢷⠒⠀⣛⡉⢳⣤⡵⠮⣿⣿⣿⣯⣽⣿⡇⣼⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⣀⣤⣬⣭⣭⡥⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣨⣅⡥⠀⠀⠀⠀⠬⢭⣭⣩⣭⣭⣭⣭⣭⣭⣭⣭⣭⣥⠩⠭⣭⣭⣭⣭⣥⣨⡁⠀⠀⠀⠀ ⢸⣿⣧⣋⣻⣉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡁⣈⣱⡀⠀⠉⠁⠀⢠⣮⡏⣼⡿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠇⠁⢿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣻⣿⣿⡇⠀⠀⠀⣰⡾⠟⠆⠘⢿⣹⣿⣯⣽⣽⡿⠟⠋⠁⠀⠀⠀⢙⠻⣿⣿⣿⣿⣫⠁⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣮⣧⠀⠀⢀⣀⣤⣴⣶⣻⡅⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡽⢿⣿⣷⣶⡶⠒⠀⠈⣴⡀⠀⢐⠞⠂⠾⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣶⣧⣤⠀⠀⠀⠀ ⢸⣿⡟⣿⣿⣿⢿⡛⠛⠒⠟⡛⠑⡛⡛⠛⢻⡗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠰⡿⠿⠋⠀⠀⠀⠀⠻⡗⠀⠀⠀⠀⠀⣈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠈⠙⠿⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣒⠀⠀⠀⢀⠀⣀⣿⠘⠛⠛⠛⠀⠉⠀⠀⠀⠀⠀⠀⠀⡀⠤⠤⠀⠀⠀⣼⡄⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠘⠛⠃⠈⠉⠀⠀⠀⠀⠀⠀⢰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡁⠁⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠑⠀⠀⠀⠀⠀⡀⠀⠘⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠿⠿⠿⠿⠛⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⢰⣶⣾⣶⣾⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣮⣭⣭⣥⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣴⢀⣄⣀⣀⣀⣤⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢻⣿⡿⣿⢻⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣾⣶⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⠀⢸⣿⠇⢀⠀⢀⠂⠤⣀⡀⠀⠈⣴⢀⡟⠺⠇⡗⡄⠀⠐⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⡟⠹⣃⣚⣛⣛⣛⣛⣛⣛⣛⣒⠉⠋⠙⠀⣤⣤⠈⢸⠀⠘⠀⠀⡀⠈⠁⠚⡩⢸⡆⢠⡇⡛⡌⢰⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠀⠁⠋⠛⠙⠛⢙⢻⡟⠹⢀⠀⠀⢀⠀⠀⠀⠚⢶⠸⣿⠀⠀⠆⠀⠀⠤⠾⣽⢗⠸⣇⡁⠁⢸⠠⢠⡤⣠⣿⣿⣿⣿⣿⣶⣾⣶⣾⣶⣿⣷⣿⣷⣷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣚ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⠸⣿⠀⠀⠀⠀⠀⣠⡤⢟⣒⣰⣆⣠⣠⡬⠤⢼⡟⠋⢹⣿⣿⣿⣿⡖⣖⢳⡟⡿⣻⢛⣛⢓⢛⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣶⣶⣾⣾⣿⣶⣶⣶⣶⣶⣷⣷⣶⣿⣷⣿⣷⣶⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣾⣿⣶⣶⣷⣾⣶⣶⣾⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⠸ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⡿⠿⠟⠋⠀⠀⠀⠀⠸⠿⠿⠿⠃⠀⠀⠀⠘⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠒⠚⠒⠚⠓⠛⠋⠁⠀⠀⠉⠛⠚⠛⠂⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣆⠐⠀⢄⢠⢖⠀⢀⠀⠀⡀⡀⡖⡄⠀⢐⡂⠀⠀⠀⡆⢀⠀⢀⠄⠀⠠⣒⠠⠀⡀⡀⡖⡔⠀⢲⠒⡆⡀⠀⡀⡄⠀⠀⠀⢀⠄⠀⠄⠀⠀⠠⠠⢰⠀⢀⠤⠀⢰⣒⢀⡀⠀⡀⠠⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⠁⠘⠚⠘⠘⠘⠚⠐⠃⠓⠂⠃⠓⠀⠐⠊⠑⠂⠀⠃⠘⠀⠈⠲⠀⠐⠒⠀⠂⠓⠃⠃⠃⠀⠘⠀⠃⠀⠓⠃⠓⠀⠐⠒⠐⠒⠐⠒⠐⠂⠀⠂⠙⠐⠊⠐⠀⠘⠒⠀⠁⠀⠒⠀⠂⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⡆⠀⢀⣠⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⠀⠀⢾⠓⢀⣻⡋⢱⣤⣶⣾⣾⣿⣿⣿⢿⣿⣿⣠⣿⣿⣿⣷⣶⡢⠐⠀⠀⠀⠀⠀ ⠀⣠⣤⣬⣭⣭⡥⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣈⣥⡄⠀⠀⠀⠀⠬⢭⣭⣩⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⠩⠭⣭⣭⣭⣭⣅⣬⡄⡀⠀⠀⠀ ⢸⣿⣧⣋⣻⣉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡁⣈⣱⡀⠀⠉⠁⠀⢠⣮⡟⣼⡿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠇⠁⢻⣿⣿⣿⣿⣿⡟⣞⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢈⣿⣿⣿⡇⠀⠀⠀⢰⡺⡏⠆⠘⢿⡹⣿⣮⣿⣿⡿⠟⠋⠁⠀⠀⠀⢙⠿⣿⣿⣿⣿⣋⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣮⣇⠀⠀⢀⣀⣤⣴⣾⣫⡅⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡽⣿⣿⣷⣶⡶⠒⠀⠈⣴⡄⠀⠠⢞⠂⢾⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣶⣧⡄⠀⠀⠀⠀ ⢸⣿⡟⣿⣿⣿⢿⡛⠛⠒⠟⡛⠙⡛⡛⠛⢻⡗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⡿⠿⠋⠀⠀⠀⠀⠿⡗⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠈⠙⢿⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣒⠀⠀⠀⢀⠀⣀⣿⠘⠛⠛⠓⠀⠋⠀⠀⠀⠀⠀⠀⠀⡠⠤⠄⠀⠀⠀⣴⡄⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂⠀⠘⠙⠃⠀⠉⠀⠀⠀⠀⠀⠀⢨⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡁⠁⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠑⠀⠀⠀⠀⠀⡀⠀⠘⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠿⠿⠿⠿⠛⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⢰⣶⣾⣶⣾⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣿⣭⣭⣥⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⢠⣄⣀⣀⣀⣤⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢻⣿⡿⣿⢻⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣾⣶⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⠀⢸⣿⠇⢀⠀⢀⠂⠤⣀⡀⠀⠈⣴⢀⡟⠺⠇⡗⡄⠀⠐⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⡟⠹⣃⣚⣛⣛⣛⣛⣛⣛⣛⣒⠉⠋⠛⠀⣤⣤⠈⢸⠀⠘⠀⠀⡀⠈⠁⠚⡩⢸⡆⢠⡇⡛⡌⢰⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠀⠁⠋⠛⠙⠛⢙⢻⡟⠹⢀⠀⠀⢀⠀⠀⠀⠚⢶⠸⣿⠀⠀⠆⠀⠀⠤⠾⣽⢗⠸⣇⡁⠁⢸⠠⢠⡤⣠⣿⣿⣿⣿⣿⣶⣾⣶⣾⣶⣿⣷⣿⣷⣷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣚ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⠸⣿⡀⠀⠀⠀⠀⣠⡤⢟⣒⣰⣆⣠⣠⡬⠤⢼⡟⠋⢹⣿⣿⣿⣿⡖⣖⢳⡟⡿⣻⢛⣛⢓⢛⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣶⣶⣾⣾⣿⣶⣶⣶⣶⣶⣷⣷⣶⣿⣷⣿⣷⣶⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣾⣿⣶⣶⣷⣾⣶⣶⣾⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⠸ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⡿⠿⠟⠋⠀⠀⠀⠀⠸⠿⠿⠿⠃⠀⠀⠀⠸⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠒⠀⠚⠒⠛⠛⠉⠁⠀⠀⠉⠛⠃⠚⠓⠂⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣄⠠⠀⢀⢠⢂⠀⢀⠀⠀⡀⡀⡔⡄⠀⢀⡀⠀⠀⠀⡆⢀⠀⢀⢀⠀⠠⡀⠀⠀⡀⡀⡔⡔⠀⢠⠀⡆⡀⠀⡀⡄⠀⠀⠠⢀⠄⠀⠀⠀⢠⠠⢠⢠⢀⢀⠀⠀⢠⣀⢀⡀⠀⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⠁⠘⠙⠘⠘⠘⠘⠀⠃⠃⠂⠃⠃⠀⠀⠈⠑⠀⠀⠃⠘⠀⠈⡐⠀⠐⠐⠀⠀⠃⠃⠃⠃⠀⠘⠀⠃⠀⠃⠃⠃⠀⠀⠐⠐⠐⠐⠐⠀⠂⠀⠂⠙⠐⠊⠐⠀⠘⠀⠐⠁⠀⠈⠀⠀⡂⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⡆⠀⢀⣠⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢶⠂⢀⣚⡀⢰⣤⣴⣻⣻⣿⣿⣿⡶⣿⣿⣠⣶⣶⣶⣿⣼⢃⠈⠀⠀⠀⠀⠀ ⠀⣠⣤⣬⣭⣭⡥⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡈⣭⡤⠀⠀⠀⠀⠬⢭⣭⣩⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⠭⠭⣭⣭⣭⣭⣥⣨⡁⠀⠀⠀⠀ ⢸⣿⣧⣋⣻⣉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡁⣈⣱⡈⠀⠉⠀⠀⢠⣮⡟⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠁⢹⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡈⣟⣿⣿⡇⠀⠀⠀⢱⡾⡏⠆⠘⢿⡝⣿⣷⣶⣶⡿⠟⠋⠁⠀⠀⠀⢙⠻⣿⣿⣿⣿⣅⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣧⠀⠀⢀⣀⣤⢴⣾⢻⡅⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠝⢿⣿⣷⣶⡶⠒⠀⠀⣴⡄⠀⢀⡾⠢⠨⠽⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣶⣧⣤⠀⠀⠀⠀ ⢸⣿⡟⣿⣿⣿⢿⡛⠛⠒⠟⡛⠛⡛⡛⠛⢻⡗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⡿⠿⠋⠈⠀⠀⠀⠻⡗⠀⠀⠀⠀⠀⣈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠈⠙⠧⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣒⠀⠀⠀⠀⠀⣀⣷⠘⠛⠛⠳⠀⠈⠀⠀⠀⠀⠀⠀⠀⡠⠤⠄⠀⠀⠀⣼⠄⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠘⠛⠃⠘⠉⠀⠀⠀⠀⠀⠀⢨⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡁⠁⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠑⠀⠀⠀⠀⠀⡀⠀⠘⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⢰⣶⣾⣶⣾⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣿⣭⣭⣥⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⢠⣄⣀⣀⣀⣤⣕⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢻⣿⡿⣿⢻⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣾⣶⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⠀⢸⣿⠃⢀⠀⢀⠂⠤⢀⡀⠀⠈⣴⢀⡟⠺⠇⡗⡄⠀⠐⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭ ⢸⣿⡟⠹⣃⣚⣛⣛⣛⣛⣛⣛⣛⣒⠉⠋⠛⠀⣤⣤⠈⢸⠀⠘⠀⠀⡀⠈⠁⠚⡩⢸⡆⢠⡇⡛⡌⢰⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠀⠈⠙⠉⠛⠛⢉⢻⡞⠹⢀⠀⠀⢀⠀⠀⠀⠚⢶⠸⣿⠀⠀⠆⠀⠀⠤⠾⣽⢗⠸⣇⡁⠁⢸⠠⢠⡤⣠⣿⣿⣿⣿⣿⣶⣾⣶⣾⣶⣿⣷⣿⣶⣷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⠸⣿⠀⠀⠀⠀⠀⣠⡤⢟⣒⣰⣆⣠⣤⡬⠤⢼⡟⠋⢸⣿⣿⣿⣿⡖⣖⢳⡟⡿⣺⢛⣛⢒⢛⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣶⣶⣾⣾⣿⣶⣶⣶⣶⣶⣷⣷⣶⣿⣷⣿⣷⣶⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣾⣿⣶⣶⣷⣾⣶⣶⣾⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⠸ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⡿⠿⠟⠋⠀⠀⠀⠀⠸⠿⠿⠿⠃⠀⠀⠀⠸⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠊⠚⠛⠛⠋⠉⠁⠀⠈⠛⠛⠒⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣄⠠⠀⣀⢠⣀⢀⡀⢀⡀⣀⡀⣄⣄⠀⠠⠄⢀⡀⠀⡄⢀⣀⠀⣀⠀⢀⠤⢀⡀⡀⡀⡄⣄⠀⢠⠀⣄⡀⣀⡀⡄⠀⠀⠠⠀⡄⠀⡀⠀⠀⠠⢀⢠⢀⡀⣀⠀⢠⠤⢀⠀⠀⣀⢀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠋⠁⠐⠙⠘⠘⠀⠙⠈⠀⠣⠂⠃⠃⠀⠀⠑⠉⠉⠀⠃⠘⠀⠘⣄⠀⠀⠈⠀⠀⠃⠃⠃⠃⠀⠘⠀⠃⠀⠊⠃⠣⠀⠠⠐⠐⠐⠐⠄⠀⠀⠀⠂⠚⠀⠘⠀⠀⠘⠄⠐⠃⠀⠁⠂⠀⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⡆⠀⢀⣠⠶⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⠂⠀⢰⡀⢲⣴⡶⢶⣶⣶⣶⡶⢶⣶⣆⣴⣶⣶⣶⣿⣾⠃⠘⠀⠀⠀⠀⠀ ⠀⣀⣤⣬⣭⣭⡥⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣥⡌⠀⠀⠀⠀⠬⢭⣭⣩⣭⣭⣭⣭⣭⣭⣭⣭⣭⡭⠭⠭⣭⣭⣭⣭⣥⣬⡁⠀⠀⠀⠀ ⢸⣿⣧⣋⣻⣉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⣀⣱⡀⠀⠉⠁⠀⢠⣮⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠇⠁⢿⣿⣿⣿⣿⣿⣧⢂⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣟⣿⣿⡇⠀⠀⠀⢰⡾⡏⠀⠘⢿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⢙⠻⣿⣿⣿⣿⣙⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣬⣧⠀⠀⢀⣀⣤⣴⣞⢛⡁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡹⣿⣿⣷⣶⡶⠒⠀⠐⣴⡄⠀⠀⠖⠀⠾⠽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢶⣧⡤⠀⠀⠀⠀ ⢸⣿⡟⣿⣿⣿⢿⡛⠛⠒⠟⡛⠛⡛⡛⠛⢻⡗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⡿⠿⠋⠀⠀⠀⠀⢽⡇⠀⠀⠀⠀⠀⣈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠉⠿⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣂⠀⠀⠀⢀⠀⣠⣷⠘⠛⠛⠛⠀⠉⠀⠀⠀⠀⠀⠀⠀⡠⠤⠤⠀⠀⠀⡼⠄⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡁⠀⠘⠛⠃⠀⠉⠀⠀⠀⠀⠀⠀⢰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡁⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠑⠀⠀⠀⠀⠀⡀⠀⠘⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⢰⣶⣾⣶⣾⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣿⣭⣭⣥⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣒⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⢠⣀⣀⣀⣀⣤⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢻⣿⡿⣿⢻⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣾⣶⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢟⣽⢿⣿⣿⣯⣟⠿⣿⣿⣿⣿⠀⢸⣿⠃⢀⠀⢀⠂⠤⢀⡀⠀⠈⣴⢀⡟⠺⠇⡗⡄⠀⠐⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭ ⢸⣿⡟⠹⣃⣚⣛⣛⣛⣛⣛⣛⣛⣒⠉⠋⠛⠀⣤⣤⡈⢸⠀⠘⠀⠀⡀⠈⠁⠚⡩⢸⡆⢠⡇⡛⡌⢰⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠀⠈⠉⠉⠝⠉⢉⢻⡗⠱⢀⠀⠀⢀⠀⠀⠀⠚⢶⠸⣿⠀⠀⠆⠀⠀⠤⠾⣽⢗⠸⣇⡁⠁⢸⠠⢠⡤⣠⣿⣿⣿⣿⣿⣶⣾⣶⣾⣶⣿⣷⣿⣶⣷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⠸⣿⠀⠀⠀⠀⠀⣠⡤⢟⣒⣰⣆⣠⣤⡬⠤⢼⡟⠋⢸⣿⣿⣿⣿⡖⣖⢳⡟⡿⣺⢛⣛⢓⢛⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣶⣶⣾⣾⣿⣶⣶⣶⣶⣶⣷⣷⣶⣿⣷⣿⣷⣶⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣾⣿⣶⣶⣷⣾⣶⣶⣾⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⠸ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⡿⠿⠟⠉⠀⠀⠀⠀⠸⠿⠿⠿⠃⠀⠀⠀⠘⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠛⠛⠒⠚⠛⠉⠀⠀⠈⠉⠛⠛⠚⠚⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡄⠠⠀⣀⢠⣤⢀⡀⢀⡀⢀⠀⣄⣄⠀⠠⠅⢈⡀⠀⡄⢀⣀⠀⣀⠀⢀⠤⢀⡀⡀⡀⣄⣄⠀⢤⠤⣄⡀⢀⠀⡄⠀⠀⠠⠀⡀⠀⡀⠀⡀⠠⢀⢠⢀⡀⣀⠀⢠⠤⢀⢀⠀⣀⢀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠏⠂⠐⠜⠸⠸⠠⠼⠠⠄⠣⠃⠇⠣⠀⠠⠕⠠⠌⠀⠇⠐⠀⠘⣄⠀⠀⠬⠀⠄⠧⠇⠇⠇⠀⠸⠀⠇⠀⠢⠇⠧⠀⠠⠔⠐⠔⠐⠤⠠⠄⠀⠆⠺⠠⠜⠠⠀⠸⠭⠐⠣⠀⠥⠀⠄⣂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⡆⠀⢀⣠⠶⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⢶⠒⠀⣶⡀⢰⣤⡴⢦⣶⣶⣶⣶⣶⣶⡆⣴⣶⣶⣶⣷⣞⡃⠈⠂⠀⠀⠀⠀ ⠀⣀⣠⣬⣭⣭⡥⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣨⣭⣬⠀⠀⢀⠀⠬⢭⣭⣩⣭⣭⣭⣭⣭⣭⣭⣭⣭⣥⠩⠭⣭⣭⣭⣭⣥⢬⡅⠀⠀⠀⠀ ⢸⣿⣧⣋⣻⣉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡉⢀⣱⡀⠀⠉⠁⠀⢢⣮⡟⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠇⠁⢸⣿⣿⣿⣿⣿⣯⣀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣫⣿⣽⡇⠀⠀⠀⢠⡾⠟⠆⠘⢿⣿⣯⣹⣯⣭⡿⠟⠋⠀⠀⠀⠀⢙⠻⣿⣿⣿⣿⣏⡀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣮⣧⠀⠀⢀⣀⣤⣴⣞⣫⡅⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⢿⣿⣷⣶⡶⠒⠀⠈⣴⡄⠀⢀⠖⢲⣯⣽⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢶⣧⣤⠀⠀⠀⠀ ⢸⣿⡟⣿⣿⣿⢿⡛⠛⠒⠟⡛⠛⡓⡛⠛⢻⡗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠩⠿⠿⠋⠀⠀⠀⠀⠿⡗⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠙⠣⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣂⠀⠀⠀⠀⠀⣐⣷⠘⠛⠛⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠤⠤⠀⠀⠀⣼⠆⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⠀⠐⠚⠃⠘⠉⠀⠀⠀⠀⠀⠀⠨⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡁⠁⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠑⠀⠀⠀⠀⠀⡀⠀⠘⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⢰⣶⣾⣶⣾⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣿⣭⣭⣥⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣂⣂⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⢠⣰⣀⣀⣀⣠⣆⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢻⣿⡿⣿⢻⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣾⣶⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⠀⢸⣿⠇⢀⠀⢀⠂⠤⢀⡀⠀⠈⣴⢀⡟⠺⠇⡗⡄⠀⠐⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭ ⢸⣿⡟⠹⣃⣚⣛⣚⣛⣛⣛⣛⣛⣒⠉⠋⠋⠀⣤⣤⡈⢸⠀⠘⠀⠀⡀⠈⠁⠚⡩⢸⡆⢠⡇⡛⡌⢰⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠀⠁⠋⠛⠙⠛⢙⢻⡟⠹⢀⠀⠀⢀⠀⠀⠀⠚⢶⠸⣿⠀⠀⠆⠀⠀⠤⠾⣽⢗⠸⣇⡁⠁⢸⠠⢠⡤⣠⣿⣿⣿⣿⣿⣶⣾⣶⣾⣶⣿⣷⣿⣶⣷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⠸⣿⠀⠀⠀⠀⠀⣠⡤⢟⣒⣰⣆⣠⣤⡬⠤⢼⡟⠋⢸⣿⣿⣿⣿⡖⣞⢳⡟⡿⣺⢛⣛⢓⢛⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣶⣶⣾⣾⣿⣶⣶⣶⣶⣶⣷⣷⣶⣿⣷⣿⣷⣶⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣾⣿⣶⣶⣷⣾⣶⣶⣾⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⠸ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⡿⠿⠟⠋⠀⠀⠀⠀⠸⠿⠿⠿⠃⠀⠀⠀⠘⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠁⠒⠒⠛⠋⠀⠀⠀⠈⠙⠛⠛⠓⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡄⠠⠀⡀⢠⡤⠀⡀⢀⡀⢀⠀⣤⣀⠀⠠⠄⠀⡀⠀⡄⠀⢀⠀⡀⠀⢀⠤⢀⡀⠀⡀⡤⣤⠀⢤⠤⣄⠀⢀⠀⡀⠀⠀⠀⠀⡄⠀⡀⠀⠀⠠⢀⢠⢀⡀⣀⠀⢠⠤⠀⠀⠀⢀⢀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠏⠂⠰⠼⠸⠸⠰⠼⠠⠄⠧⠇⠇⠧⠀⠨⠕⠠⠄⠀⠇⠸⠀⠘⢤⠀⠠⠭⠂⠄⠧⠇⠇⠇⠀⠸⠀⠇⠀⠦⠇⠧⠀⠠⠄⠐⠤⠠⠤⠠⠆⠀⠆⠺⠠⠜⠠⠀⠸⠭⠈⠣⠀⠥⠀⠄⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⡆⠀⢀⣠⠶⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢶⠖⠀⢒⡀⢲⣤⢶⢴⣶⣶⣶⠴⣶⣶⣆⣴⣶⣶⣶⣷⣾⢃⠘⠀⠀⠀⠀⠀ ⠀⣀⣤⣬⣭⣭⡥⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣅⠌⠀⠀⠀⠀⠬⢭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⡭⡭⠭⣭⣭⣭⣭⣥⣬⡁⠀⠀⠀⠀ ⢸⣿⣧⣋⣻⣉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡉⣀⣱⡀⠀⠉⠁⠀⢀⣮⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠇⠁⢿⣿⣿⣿⣿⣿⣁⡀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣛⣿⣿⡇⠀⠀⠀⢠⡺⡏⠀⠙⢿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⢙⠿⣿⣿⣿⣿⣙⡀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣬⣧⠀⠀⢀⣀⣤⠴⣶⢫⡅⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⢿⣿⣷⣶⡶⠒⠀⠘⣴⠄⠀⠠⠄⠰⠶⠾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⢶⣧⡤⠀⠀⠀⠀ ⢸⣿⡟⣿⣿⣿⢿⡛⠛⠒⠟⡛⠓⡓⡛⠛⢻⡗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⡿⠽⠋⠀⠀⠀⠀⢽⡇⠀⠀⠀⠀⠀⣈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠙⠿⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣂⠀⠀⠀⢀⠀⣠⣇⠘⠛⠛⠓⠀⠉⠀⠀⠀⠀⠀⠀⠀⡠⠤⠤⠀⠀⠀⡼⠄⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠘⠚⠃⠀⠉⠀⠀⠀⠀⠀⠀⢰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡁⠈⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠑⠀⠀⠀⠀⠀⡀⠀⠘⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⢰⣶⣾⣶⣾⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣿⣭⣭⣥⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣒⣀⣀⣀⣀⣀⣠⣀⣀⣀⣀⣀⣤⢠⣀⣀⣀⣀⣤⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢻⣿⡿⣿⢻⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣾⣶⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⠀⢸⣿⠃⢀⠀⢀⠂⠤⢀⡀⠀⠈⣴⢀⡟⠺⠇⡗⡄⠀⠐⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭ ⢸⣿⡟⠹⣃⣚⣛⣚⣛⣛⣛⣛⣛⣒⠉⠋⠋⠀⣤⣤⡈⢸⠀⠘⠀⠀⡀⠈⠁⠚⡩⢸⡆⢠⡇⡛⡌⢰⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠀⠁⠋⠙⠙⠛⢙⢻⡗⠹⢀⠀⠀⢀⠀⠀⠀⠚⢶⠸⣿⠀⠀⠆⠀⠀⠤⠾⣽⢗⠸⣇⡁⠁⢸⠠⢠⡤⣠⣿⣿⣿⣿⣿⣶⣾⣶⣾⣶⣿⣷⣿⣶⣷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⠸⣿⠀⠀⠀⠀⠀⣠⡤⢟⣒⣰⣆⣠⣤⡬⠤⢼⡟⠋⢸⣿⣿⣿⣿⡖⣖⢳⡟⡿⣺⢛⣛⢓⢛⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣶⣶⣾⣾⣿⣶⣶⣶⣶⣶⣷⣷⣶⣿⣷⣿⣷⣶⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣾⣿⣶⣶⣷⣾⣶⣶⣾⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⠸ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⡿⠿⠟⠋⠀⠀⠀⠀⠸⠿⠿⠿⠃⠀⠀⠀⠘⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠚⠚⠓⠛⠛⠉⠁⠀⠈⠉⠛⠚⠛⠙⠒⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⠀⠀⠀⢀⠤⠀⠀⠀⠀⠀⠀⡠⡀⠀⠀⠄⠀⠀⠀⡄⠀⠀⠀⠀⠀⢀⠀⢀⠀⠀⠀⡤⡠⠀⢀⠀⡄⠀⠀⠀⡀⠀⠀⠀⠀⡄⠀⡀⠀⠀⠠⢀⢀⠀⠀⣀⠀⢠⠤⠀⠀⠀⠀⢀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠏⠂⠰⠸⠸⠸⠰⠼⠠⠆⠧⠅⠇⠇⠀⠨⠕⠢⠀⠀⠇⠸⠀⠘⢤⠀⠠⠡⠀⠀⠧⠇⠇⠇⠀⠸⠀⠇⠁⠦⠇⠇⠀⠠⠤⠰⠤⠰⠤⠠⠆⠀⠆⠺⠠⠜⠠⠀⠸⠍⠨⠃⠀⠵⠀⠄⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⡆⠀⢀⣠⠶⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⡄⠀⠐⢶⠂⠀⣐⡀⣲⣤⣶⡶⣴⣶⣶⣦⢴⣶⣦⣠⣶⣶⣶⣷⣼⠁⠀⠀⠀⠀⠀⠀ ⠀⣀⣠⣬⣭⣭⡥⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⣥⡄⠀⠀⠀⠀⠬⢭⣭⣩⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⠩⠭⣭⣭⣭⣭⣥⢬⡁⠀⠀⠀⠀ ⢸⣿⣧⣋⣻⣉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣁⢀⣱⡀⠀⠉⠁⡀⢀⣮⡟⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠃⠁⢸⣿⣿⣿⣿⣿⡣⢎⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⡇⠀⠀⠀⢰⡾⠏⠆⠈⠻⣿⣿⣿⣿⣯⡿⠟⠋⠁⠀⠀⠀⢙⠿⣿⣿⣿⣿⣋⠁⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣮⣇⠀⠀⢀⣀⣤⣴⣖⢫⡁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡽⣿⣿⣷⣶⡶⠒⠀⠈⢴⡄⠀⢀⠶⠂⠿⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⢶⣧⡤⠀⠀⠀⠀ ⢸⣿⡟⣿⣿⣿⢿⡛⠛⠐⠟⡛⠃⡛⡛⠛⢻⡗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⡟⢻⠋⠊⠀⠀⠀⠸⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠙⠻⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣒⠀⠀⠀⢀⠀⢀⣻⠘⠛⠛⠛⠁⠘⠀⠀⠀⠀⠀⠀⠀⡠⠤⠤⠀⠀⠀⡴⠄⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠘⠚⠓⠈⠉⠀⠀⠀⠀⠀⠀⠠⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡁⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠑⠀⠀⠀⠀⠀⡀⠀⠘⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⢰⣶⣾⣶⣾⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣿⣭⣭⣥⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣠⣀⣀⣀⣀⣀⣴⢀⣠⣀⣀⣀⣤⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢻⣿⡿⣿⢻⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣾⣶⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⠀⢸⣿⠃⢀⠀⢀⠂⠤⢀⡀⠀⠈⣴⢀⡟⠺⠇⡗⡄⠀⠐⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭ ⢸⣿⡟⠹⣃⣚⣛⣚⣛⣛⣛⣛⣛⣒⠉⠋⠋⠀⣤⣤⠈⢸⠀⠘⠀⠀⡀⠈⠁⠚⡩⢸⡆⢠⡇⡛⡌⢰⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠀⠁⠋⠙⠙⠛⢙⢻⡗⠹⢀⠀⠀⢀⠀⠀⠀⠚⢶⠸⣿⠀⠀⠆⠀⠀⠤⠾⣽⢗⠸⣇⡁⠁⢸⠠⢠⡤⣠⣿⣿⣿⣿⣿⣶⣾⣶⣾⣶⣿⣷⣿⣶⣷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⠸⣿⠀⠀⠀⠀⠀⣠⡤⢟⣒⣰⣆⣠⣤⡬⠤⢼⡟⠋⢸⣿⣿⣿⣿⡖⣖⢳⡟⡿⣺⢛⣛⢒⢛⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣶⣶⣾⣾⣿⣶⣶⣶⣶⣶⣷⣷⣶⣿⣷⣿⣷⣶⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣾⣿⣶⣶⣷⣾⣶⣶⣾⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⠸ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⡿⠿⠟⠋⠀⠀⠀⠀⠸⠿⠿⠿⠃⠀⠀⠀⠘⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠐⠓⠛⠟⠚⠉⠁⠁⠈⠙⠛⠛⠒⠚⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⢀⠀⠀⢐⠂⠀⠀⠀⠀⠀⠀⡀⡀⠀⠀⠓⠚⠀⠀⡀⠀⠀⠀⠒⠒⠂⠀⠀⠀⠀⠀⡀⡀⠀⢀⠀⡀⠀⠀⠀⡀⠀⠀⢀⠀⠄⠀⠀⠀⠀⠀⠀⢀⠀⠒⠒⠒⢒⠒⠂⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠏⠂⠨⠻⠸⠸⠘⠲⠘⠁⠇⠇⠇⠇⠀⠀⠠⠚⠓⠀⠇⠘⠉⠰⠩⠀⠈⠀⠈⠀⠇⠇⠇⠇⠀⠸⠀⠏⠁⠕⠇⠇⠀⠀⠠⠰⠠⠰⠒⠐⠂⠀⠎⠼⠈⠱⠉⠀⢸⣀⠨⠆⠀⠓⠌⠀⣢⠐⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⡄⠀⢀⣠⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣭⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⢤⠀⠀⣤⡀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⣤⣤⣤⣤⣿⣺⢇⡘⠂⠀⠀⠀⠀ ⠀⣠⣠⣬⣭⣭⡥⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣨⣥⡬⠀⠀⠀⠀⠬⢭⣭⣩⣭⣭⣭⣭⣭⣭⣭⣭⣭⣥⠩⠭⣭⣭⣭⣭⣥⣬⡁⡀⠀⠀⠀ ⢸⣿⣧⣋⣻⣉⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣁⣁⣱⡀⠀⠉⠁⠀⠠⣮⡟⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠇⠁⢸⣿⣿⣿⣿⣿⣗⡈⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⡴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣭⣿⣿⡇⠀⠀⠀⢰⡾⡏⠆⠈⠻⣿⣿⣽⣿⣿⡿⠟⠋⠁⠀⠀⠀⢙⠻⣿⣿⣿⣿⣯⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣥⠀⠀⣀⣀⣤⣴⣖⢻⡅⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡿⣿⣿⣷⣶⡶⠒⠀⠈⢴⣄⠀⠀⠶⠐⢶⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢶⣧⣄⠀⠀⠀⠀ ⢸⣿⡟⣿⣿⣿⢿⡛⠛⠐⠟⡛⠃⡓⡛⠛⢻⡗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡿⡿⠋⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠙⠻⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣒⠀⠀⠀⠀⡀⢀⣹⠘⠛⠛⠛⠀⠘⠀⠀⠀⠀⠀⠀⠀⡠⠤⠤⠀⠀⠀⣼⠄⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠐⠚⠛⠉⠈⠀⠀⠀⠀⠀⠀⠠⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡁⠉⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠑⠀⠀⠀⠀⠀⡀⠀⠘⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⢰⣶⣾⣶⣾⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣾⣭⣭⣥⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣂⣀⣀⣀⣀⣠⣀⣀⣀⣀⣀⣤⢀⣠⣀⣀⣀⣤⣏⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢻⣿⡿⣻⢻⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣾⣶⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⠀⢸⣿⠃⢀⠀⢀⠂⠤⢀⡀⠀⠈⣴⢀⡟⠺⠇⡗⡄⠀⠐⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭ ⢸⣿⡟⠹⣃⣚⣛⣚⣛⣛⣛⣛⣛⣒⠉⠛⠋⠀⣤⣤⡈⢸⠀⠘⠀⠀⡀⠈⠁⠚⡩⢸⡆⢠⡇⡛⡌⢰⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠀⠁⠋⠙⠙⠛⢙⢻⡗⠹⢀⠀⠀⢀⠀⠀⠀⠚⢶⠸⣿⠀⠀⠆⠀⠀⠤⠾⣽⢗⠸⣇⡁⠁⢸⠠⢠⡤⣠⣿⣿⣿⣿⣿⣶⣾⣶⣾⣶⣿⣷⣿⣶⣷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⠸⣿⠀⠀⠀⠀⠀⣠⡤⢟⣒⣰⣆⣠⣤⡬⠤⢼⡟⠋⢸⣿⣿⣿⣿⡖⣞⢳⡟⡿⣺⢛⣛⢓⢛⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣶⣶⣾⣾⣿⣶⣶⣶⣶⣶⣷⣷⣶⣿⣷⣿⣷⣶⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣾⣿⣶⣶⣷⣾⣶⣶⣾⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⠸ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⡿⠿⠟⠋⠀⠀⠀⠀⠸⠿⠿⠿⠃⠀⠀⠀⠸⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠈⠛⠛⠓⠋⠈⠀⠀⠈⠙⠛⠚⠛⠂⠓⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⢀⠀⠀⢐⠂⠀⠀⠀⠀⠀⠀⡀⡀⠀⢀⡓⠚⠀⠀⡀⠀⠀⠀⠒⠒⠂⣀⠀⠀⠀⠀⡀⡀⠀⣀⡀⡀⠀⠀⠀⡀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠠⠀⢀⠐⠒⠒⠒⢒⣒⠂⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡟⠆⠠⡻⢸⠹⢈⣳⢘⡁⢎⠇⡏⢏⠀⢀⡢⠘⡓⠀⡇⠸⠉⠰⡉⠀⠈⣐⠈⡁⢇⡇⡏⡏⠀⠸⠀⡏⠁⢝⡆⢇⠀⢀⡠⠰⡠⠰⡒⢐⡀⠀⡎⢼⢈⡱⢉⠀⢸⣀⠨⢆⠀⣋⠌⡁⢂⠀⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⡄⠀⢀⣠⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣭⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⠀⠀⢤⠀⠀⣠⡀⢠⣤⣤⢤⣤⣤⣤⡤⣤⣤⣤⣤⣤⣤⣤⣿⣞⡇⠀⠀⠀⠀⠀⠀ ⠀⣠⣠⣬⣭⣭⡥⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣈⣥⣌⠀⠀⠀⠀⠬⢭⣭⣩⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⠩⠭⣭⣭⣭⣭⣥⣈⡁⠀⠀⠀⠀ ⢸⣿⣧⣋⣻⣉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣁⣀⣱⡀⠀⠉⠁⠀⢠⣮⡏⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠇⠁⢼⣿⣿⣿⣿⣿⣷⣌⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⡴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣋⣿⣿⡇⠀⠀⠀⢰⡾⠏⠆⠘⠻⣿⣿⣭⣽⣿⡿⠟⠋⠁⠀⠀⠀⢙⢻⣿⣿⣿⣯⣟⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣮⣧⠀⠀⢀⣀⣤⣴⣶⢻⡅⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣽⣿⣿⣷⣶⡶⠒⠀⠈⣴⡀⠀⢀⠖⠀⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢶⣧⣤⠀⠁⠀⠀ ⢸⣿⡟⣿⣿⣿⢿⡛⠛⠚⠟⡛⠃⡓⡛⠛⢻⡗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⡟⠿⠋⠀⠀⠀⠀⠻⠓⠀⢀⡀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠉⠿⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣂⠀⠀⠀⢀⠀⢐⣿⠘⠛⠛⠛⠈⠙⠀⠀⠀⠀⠀⠀⠀⡠⠤⠤⠀⠀⠀⡼⠆⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠐⠙⠃⠈⠉⠀⠀⠀⠀⠀⠀⠰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡁⠁⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠑⠀⠀⠀⠀⠀⡀⠀⠘⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠿⠿⠿⠿⠛⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⢰⣶⣾⣶⣾⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣿⣭⣭⣥⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣰⣂⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣴⢀⣠⣀⣀⣀⣤⣞⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢻⣿⡿⣿⢻⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣾⣶⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⠀⢸⣿⠃⢀⠀⢀⠂⠤⢀⡀⠀⠈⣴⢀⡟⠺⠇⡗⡄⠀⠐⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭ ⢸⣿⡟⠹⣃⣚⣛⣛⣛⣛⣛⣛⣛⣒⠉⠛⠛⠀⣤⣤⡈⢸⠀⠘⠀⠀⡀⠈⠁⠚⡩⢸⡆⢠⡇⡛⡌⢰⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠀⠈⠙⠛⠟⠛⢙⢻⡟⠹⢀⠀⠀⢀⠀⠀⠀⠚⢶⠸⣿⠀⠀⠆⠀⠀⠤⠾⣽⢗⠸⣇⡁⠁⢸⠠⢠⡤⣠⣿⣿⣿⣿⣿⣶⣾⣶⣾⣶⣿⣷⣿⣶⣷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⠸⣿⠀⠀⠀⠀⠀⣠⡤⢟⣒⣰⣆⣠⣤⡬⠤⢼⡟⠋⢸⣿⣿⣿⣿⡖⣞⢳⡟⡿⣺⢛⣛⢒⢛⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣶⣶⣾⣾⣿⣶⣶⣶⣶⣶⣷⣷⣶⣿⣷⣿⣷⣶⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣾⣿⣶⣶⣷⣾⣶⣶⣾⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⠸ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⡿⠿⠟⠉⠀⠀⠀⠀⠸⠿⠿⠿⠃⠀⠀⠀⠸⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠚⠛⠛⠛⠁⠁⠀⠈⠙⠛⠛⠛⠒⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⢀⠀⠀⢐⣂⠀⠀⠀⠀⠀⠀⣀⡀⠀⢀⡓⠚⠀⠀⡀⠀⠀⠀⠒⠒⠂⣀⠀⠀⠀⠀⡀⣀⠀⣀⣀⡀⠀⠀⠀⡀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠠⠀⢀⠀⠒⠒⠒⢒⣒⠂⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡗⠄⠠⣱⢸⢱⢀⣱⢈⡁⢎⠆⡏⢏⠀⢐⡢⢈⡁⠀⡇⢰⠈⠰⣁⠀⢈⣒⠌⡁⣆⡇⡏⡏⠀⢸⠀⡏⠀⣌⡆⣇⠀⢀⡠⠰⣰⠰⣐⢀⡀⠀⡎⢼⢈⡱⢉⠀⢸⣒⠠⢎⠀⣊⠈⡁⡦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⡄⠀⢀⣠⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣭⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠀⠀⢤⠀⠀⣠⡀⢠⣤⣤⣤⣤⣤⣤⡤⢤⣤⡄⣤⣤⣤⣤⣷⣴⣧⠔⠁⠀⠀⠀⠀ ⠀⣠⣠⣬⣭⣭⡥⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⣥⡭⠀⠀⠀⠀⠬⢭⣭⣩⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⠩⠭⣭⣭⣭⣭⡥⢬⡅⡀⠀⠀⠀ ⢸⣿⣧⣋⣻⣉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣁⣀⣱⡈⠀⠉⠁⠀⢠⣮⡟⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠇⠁⢸⣿⣿⣿⣿⣿⡿⡏⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣏⣿⣿⡇⠀⠀⠀⢰⡾⠏⠆⠘⢿⡽⣿⣾⣿⣿⡿⠟⠋⠁⠀⠀⠀⢙⠻⣿⣿⣿⣿⣅⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣮⣧⠀⠀⢀⣀⣤⣴⣖⣻⡅⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢈⡽⣿⣿⣷⣶⡶⠖⠀⠈⣴⡀⠀⢀⠾⠂⠿⢿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢶⣧⡤⡄⠀⠀⠀ ⢸⣿⡟⣿⣿⣿⢿⡛⠛⠐⠟⡛⠃⡛⡛⠛⢻⡗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢑⡿⠿⠋⠈⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠙⠿⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣒⠀⠀⠀⠀⡀⢐⣹⠘⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠤⠤⠀⠀⠀⣼⡄⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠐⠚⠓⠈⠉⠀⠀⠀⠀⠀⠀⠰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡁⠁⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠑⠀⠀⠀⠀⠀⡀⠀⠘⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⢰⣶⣾⣶⣾⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣿⣭⣭⣥⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣒⣂⣀⣀⣀⣀⣠⣀⣀⣀⣀⣀⣴⢀⣀⣀⣀⣀⣤⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢻⣿⡿⣿⢻⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣾⣶⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⠀⢸⣿⠃⢀⠀⢀⠂⠤⢀⡀⠀⠈⣴⢀⡟⠺⠇⡗⡄⠀⠐⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭ ⢸⣿⡟⠹⣃⣚⣛⣚⣛⣛⣛⣛⣛⢒⠉⠋⠙⠀⣤⣤⡈⢸⠀⠘⠀⠀⡀⠈⠁⠚⡩⢸⡆⢰⡇⡛⡌⢰⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠀⠁⠋⠋⠛⠛⢙⢻⡟⠸⢀⠀⠀⢀⠀⠀⠀⠚⢶⠸⣿⠀⠀⠆⠀⠀⠤⠾⣽⢗⠸⣇⡁⠁⢸⠠⢠⡤⣠⣿⣿⣿⣿⣿⣶⣾⣶⣾⣶⣿⣷⣿⣶⣷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⠸⣿⠀⠀⠀⠀⠀⣠⡤⢟⣒⣰⣆⣠⣤⡬⠤⢼⡟⠋⢸⣿⣿⣿⣿⡖⣞⢳⡟⡿⣺⢛⣛⢓⢛⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣶⣶⣾⣾⣿⣶⣶⣶⣶⣶⣷⣷⣶⣿⣷⣿⣷⣶⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣾⣿⣶⣶⣷⣾⣶⣶⣾⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⠸ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⡿⠿⠟⠋⠀⠀⠀⠀⠸⠿⠿⠿⠃⠀⠀⠀⠘⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠛⠛⠛⠋⠁⠀⠀⠈⠙⠛⠚⠒⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⢀⠀⠀⠐⣂⠀⠀⠀⠀⠀⠀⣀⠀⠀⢀⡓⠚⠀⠀⡀⠀⠀⠀⠒⠒⠂⣀⠀⠀⠀⠀⣀⢀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⢠⠠⠀⢀⠐⠒⠒⠒⢒⣒⠂⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡗⠄⢠⣱⢸⢰⢠⣰⢀⡄⣆⡆⡇⣇⠀⢐⡢⢄⡀⠀⡇⢰⠀⠰⣁⠀⢈⣒⠈⡀⣆⡆⡇⡇⠀⢸⠀⡇⠂⣄⡆⣇⠀⢀⣀⢰⣐⢰⣐⢀⡄⠀⡎⢼⢀⡰⢉⠀⢸⣒⢐⠆⠀⣂⠈⡀⡦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⡄⠀⢀⣠⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣬⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢤⠀⠀⣀⡀⢠⣤⣤⣠⣤⣤⣤⡤⣤⣤⣄⣤⣤⣤⣤⣷⣾⣧⠘⠀⠀⠀⠀⠀ ⠀⣠⣠⣬⣭⣭⡥⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣈⣅⣄⠀⠀⠀⠀⠬⢭⣭⣩⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⠩⠭⣭⣭⣭⣭⣥⣬⡅⡀⠀⠀⠀ ⢸⣿⣧⣋⣻⣉⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⣀⣱⡀⠀⠉⠀⠀⢠⣮⡟⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠇⠁⢸⣿⣿⣿⣿⣽⣷⣀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣉⣿⣿⡇⠀⠀⠀⢠⡾⠏⠆⠘⠻⣽⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⢙⠿⣿⣿⣿⣿⣑⡀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣮⣧⠀⠀⢀⣀⣤⢴⣶⣻⡅⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡵⣿⣿⣷⣶⡶⠒⠀⠈⣴⡄⠀⢀⠶⠂⠻⢽⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢶⣧⡄⡀⠀⠀⠀ ⢸⣿⡟⣿⣿⣿⢿⡛⠛⠐⠟⡛⠃⡛⡛⠛⢻⡗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡟⠿⠋⠈⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠙⠫⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣒⠀⠀⠀⠀⡀⢀⣹⠘⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠤⠤⠀⠀⠀⣼⠄⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠐⠛⠓⠘⠉⠀⠀⠀⠀⠀⠀⢰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡁⠉⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠑⠀⠀⠀⠀⠀⡀⠀⠘⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⢰⣶⣾⣶⣾⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣿⣭⣭⣥⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣒⣂⣀⣀⣀⣀⣠⣀⣀⣀⣀⣀⣄⢀⣠⣀⣀⣀⣤⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢻⣿⡿⣿⢻⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣾⣶⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⠀⢸⣿⠃⢀⠀⢀⠂⠤⢀⡀⠀⠈⣴⢀⡟⠺⠇⡗⡄⠀⠐⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭ ⢸⣿⡟⠹⣃⣚⣛⣛⣛⣛⣛⣛⣛⣒⠉⠋⠛⠀⣤⣤⡈⢸⠀⠘⠀⠀⡀⠈⠁⠚⡩⢸⡆⢠⡇⡛⡌⢰⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠀⠈⠛⠋⠟⠛⢉⢻⡟⠹⢀⠀⠀⢀⠀⠀⠀⠚⢶⠸⣿⠀⠀⠆⠀⠀⠤⠾⣽⢗⠸⣇⡁⠁⢸⠠⢠⡤⣠⣿⣿⣿⣿⣿⣶⣾⣶⣾⣶⣿⣷⣿⣶⣷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⠸⣿⠀⠀⠀⠀⠀⣠⡤⢟⣒⣰⣆⣠⣤⡬⠤⢼⡟⠋⢸⣿⣿⣿⣿⡖⣞⢳⡟⡿⣺⢛⣛⢓⢛⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣶⣶⣾⣾⣿⣶⣶⣶⣶⣶⣷⣷⣶⣿⣷⣿⣷⣶⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣾⣿⣶⣶⣷⣾⣶⣶⣾⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⠸ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⡿⠿⠟⠉⠀⠀⠀⠀⠸⠿⠿⠿⠃⠀⠀⠀⠸⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠓⠓⠓⠛⠁⠀⠀⠈⠙⠛⠛⠛⠂⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠄⠴⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⠞⠀⠀⠀⠀⠀⠀⠶⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠄⠠⠀⠀⠴⠶⠶⠶⠶⠶⠆⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡗⠌⢐⢴⢸⢰⠰⢤⠰⠄⡆⡆⡇⡇⠀⠀⢀⠴⠤⠀⡇⢰⠐⢠⢒⠀⠀⠀⠐⠀⡆⡆⡇⡇⠀⢸⠀⡇⠂⡦⡆⡇⠀⠀⢀⢰⢐⢰⠴⠰⠄⠀⡖⣸⠐⢢⠀⠀⢸⠀⢐⠄⠀⠦⡐⠀⣂⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⡀⠀⢀⣀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⣀⡀⢀⣀⣀⢀⣀⣤⣀⠠⣀⣀⣀⣄⣀⣀⣀⣧⣔⠂⠀⠀⠀⠀⠀⠀ ⠀⣠⣠⣬⣭⣭⡥⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⣥⡌⠀⠀⠀⠀⠬⢭⣭⣩⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⠩⠭⣭⣭⣭⣭⣥⢬⡁⡀⠀⠀⠀ ⢸⣿⣧⣋⣻⣉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⢁⣱⡀⠀⠉⠁⡀⢠⣮⡟⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠇⠁⢸⣿⣿⣿⣿⣿⣷⣍⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣻⣿⣿⡇⠀⠀⠀⢰⡺⠏⠆⠘⠻⣿⣿⣭⣭⣿⡿⠟⠋⠀⠀⠀⠀⢙⠿⣿⣿⣿⣿⣉⠁⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣮⣧⠀⠀⢀⣀⣤⣴⣶⣻⡅⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠹⢿⣿⣷⣶⡶⠖⠀⠈⢰⡄⠀⢀⠮⠐⠶⠾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⢶⣧⣤⠀⠀⠀⠀ ⢸⣿⡟⣿⣿⣿⢿⡛⠛⠐⠟⡛⠋⡓⡛⠛⢻⡗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡿⢿⠋⠊⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠙⠣⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⠀⠀⠀⠀⡀⢀⣹⠘⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠤⠤⠀⠀⠀⣼⡄⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠐⠚⠛⠈⠉⠀⠀⠀⠀⠀⠀⠨⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡁⠁⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠑⠀⠀⠀⠀⠀⡀⠀⠘⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⢰⣶⣾⣶⣾⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣿⣭⣭⣥⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣂⣀⣀⣀⣀⣠⣀⣀⣀⣀⣀⣤⢠⣠⣀⣀⣀⣤⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢻⣿⡿⣿⢻⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣾⣶⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢟⣽⢿⣿⣿⣯⣟⠿⣿⣿⣿⣿⠀⢸⣿⠃⢀⠀⢀⠂⠤⢀⡀⠀⠈⣴⢀⡟⠺⠇⡗⡄⠀⠐⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭ ⢸⣿⡟⠹⣃⣚⣛⣛⣛⣛⣛⣛⣛⣒⠉⠋⠛⠀⣤⣤⡈⢸⠀⠘⠀⠀⡀⠈⠁⠚⡩⢸⡆⢠⡇⡛⡌⢰⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠀⠈⠉⠙⠟⠙⢙⢻⡗⠱⢀⠀⠀⢀⠀⠀⠀⠚⢶⠸⣿⠀⠀⠆⠀⠀⠤⠾⣽⢗⠸⣇⡁⠁⢸⠠⢠⡤⣠⣿⣿⣿⣿⣿⣶⣾⣶⣾⣶⣿⣷⣿⣶⣷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⠸⣿⠀⠀⠀⠀⠀⣠⡤⢟⣒⣰⣆⣠⣤⡬⠤⢼⡟⠋⢸⣿⣿⣿⣿⡖⣞⢳⡟⡿⣺⢛⣛⢓⢛⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣶⣶⣾⣾⣿⣶⣶⣶⣶⣶⣷⣷⣶⣿⣷⣿⣷⣶⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣾⣿⣶⣶⣷⣾⣶⣶⣾⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⠸ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⡿⠿⠟⠋⠀⠀⠀⠀⠸⠿⠿⠿⠃⠀⠀⠀⠘⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠚⠚⠚⠓⠂⠁⠀⠀⠈⠙⠛⠛⠚⠀⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠄⠴⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⠞⠀⠀⠀⠀⠀⠠⠶⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠄⠠⠠⠀⠴⠶⠶⠶⠶⠶⠦⠀⠀⠀⠄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡷⠌⢀⢶⢸⢲⠰⢦⠰⠂⡖⡆⡗⡗⠀⠈⢄⠴⠦⠀⡇⢰⠒⢠⠒⠀⠐⠩⠐⠂⡆⡆⡇⡗⠀⢸⠀⡗⠂⡲⡆⡗⠀⠀⢀⢰⢒⢰⠶⠰⠂⠀⡖⣸⠐⢢⠒⠀⢸⠉⢐⡄⠀⠶⡐⠂⣢⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⡀⠀⢀⣀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣓⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡀⠈⠀⠀⠀⠀⠀⢀⡀⣀⣀⣈⣀⣁⣈⣀⡀⣉⣀⣀⣀⣀⣀⣀⣿⣾⡂⠐⠀⠀⠀⠀⠀ ⠀⣠⣠⣬⣭⣭⡥⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣈⣥⡄⠀⠀⠀⠀⠬⢭⣭⣩⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⠩⠭⣭⣭⣭⣭⣥⣬⡅⢀⠀⠀⠀ ⢸⣿⣧⣋⣻⣉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣁⣈⣱⡀⠀⠉⠁⠀⢠⣮⡟⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠇⠁⢹⣿⣿⣿⣿⣿⡏⢈⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⣿⣿⡇⠀⠀⠀⢰⡺⡏⠂⠘⢿⡽⣿⣾⣿⣾⡿⠟⠋⠁⠀⠀⠀⢙⠿⣿⣿⣿⣿⣏⡀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣮⣧⠀⠀⣀⣀⣤⣴⣶⣻⡅⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢈⡽⢿⣿⣷⣶⡶⠒⠈⠈⣴⡀⠀⢀⠖⠂⠻⢿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⢶⣧⣤⠄⠀⠀⠀ ⢸⣿⡟⣿⣿⣿⢿⡛⠛⠐⠟⡛⠋⡛⡛⠛⢻⡗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠻⠿⠋⠊⠀⠀⠀⠹⣗⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠙⠿⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣒⠀⠀⠀⠀⠀⢀⣻⠘⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠤⠤⠀⠀⠀⣼⡄⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠘⠚⠃⠘⠉⠀⠀⠀⠀⠀⠀⢰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡁⠉⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠑⠀⠀⠀⠀⠀⡀⠀⠘⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⢰⣶⣾⣶⣾⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣾⣭⣭⣥⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣂⣀⣀⣀⣀⣠⣀⣀⣀⣀⣀⣤⢠⣀⣀⣀⣀⣤⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢻⣿⡿⣿⢻⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣾⣶⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⠀⢸⣿⠃⢀⠀⢀⠂⠤⢀⡀⠀⠈⣴⢀⡟⠺⠇⡗⡄⠀⠐⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭ ⢸⣿⡟⠹⣃⣚⣛⣚⣛⣛⣛⣛⣛⣒⠉⠋⠛⠀⣤⣤⡈⢸⠀⠘⠀⠀⡀⠈⠁⠚⡩⢸⡆⢠⡇⡛⡌⢰⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠀⠁⠋⠛⠙⠛⢙⢻⡟⠹⢀⠀⠀⢀⠀⠀⠀⠚⢶⠸⣿⠀⠀⠆⠀⠀⠤⠾⣽⢗⠸⣇⡁⠁⢸⠠⢠⡤⣠⣿⣿⣿⣿⣿⣶⣾⣶⣾⣶⣿⣷⣿⣶⣷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⠸⣿⠀⠀⠀⠀⠀⣠⡤⢟⣒⣰⣆⣠⣤⡬⠤⢼⡟⠋⢸⣿⣿⣿⣿⡖⣚⢳⡟⡿⣺⢛⣛⢓⢛⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣶⣶⣾⣾⣿⣶⣶⣶⣶⣶⣷⣷⣶⣿⣷⣿⣷⣶⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣾⣿⣶⣶⣷⣾⣶⣶⣾⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⠸ ䷩ 𝚕𝚒𝚗𝚎 1031 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2023/12/08/_Video_The_Next_Ten_Years_of_Techrights_in_a_World_With_Changin.shtml Gemini version at gemini://gemini.techrights.org/n/2023/12/08/_Video_The_Next_Ten_Years_of_Techrights_in_a_World_With_Changin.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Video] The Next Ten Years of Techrights in a World With Changing Threats and Technological Landscapes (or Trends That Are Buzzwords/Cargo Cults)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Dec 08, 2023 Video_download_link | md5sum 5cbb21b41db55583c0548a103de70b3e Our_Next_Decade Creative Commons Attribution-No Derivative Works 4.0 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Preview_for_Our_Next_Decade⦈_ THE general situation is changing in our favour. But there are also perils along the way, as one might expect. Before I left my job I made some_diagram_of_threats_that_need_to_be_tackled, aside from which companies are responsible for each type of threat. In the short term, we plan to significantly improve the wiki (maybe in the coming month). In the mid-range term, we really need to tell some stories and finish some ongoing series. Over the coming decade we need to adapt to changing realities, as companies always come and go (or get submerged, sometimes resurfacing later). The video of today talks about the site's (and capsule's plan) for the future. █ ⠀⠀⠀⡎⢰⢠⢰⢠⠂⠀⢣⡇⡔⠄⢄⠒⠂⠀⡏⢱⠀⠢⡀⠂⡐⡄⠔⡇⣔⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⣤⣶⣶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠁⣬⣭⡬⠀⠀⠀⠁⠉⠁⠁⠁⠁⠀⣉⡅⠈⠉⠈⠁⠉⠁⢩⣥⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠩⣩⡍⠉⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠋⠁⠀⠀⠀⠀⣀⣤⠶⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣃⣔⢰⣦⣤⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⡆⠀⢀⣠⡶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⣸⣧⣿⢸⣿⠉⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣴⣶⣿⣿⣷⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⢐⣾⣿⢸⣺⡀⣲⣦⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⢸⣖⠰⠷⢺⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣷⣿⣿⣿⣷⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢛⢛⣿⣿⢸⣟⠀⠘⠎⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢛⠓⢀⠀⣤⣤⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢸⣿⣿⢸⢷⣶⣶⢶⡎⠀⢀⡄⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣵⣿⣦⣺⡥⣶⣻⣽⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠻⢘⠭⠏⠭⡿⠇⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠭⡄⠀⢡⣴⠀⠰⡆⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠄⠀⠀⠀⠌⠃⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣧⠀⠀⠀⠀⢀⣠⣤⣄⢨⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡆⠀⠀⠀⠀⢒⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠉⠉⢠⠠⠤⠄⢈⠀⠀⠀⢸⣿⣿⣿⡟⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣴⣦⣼⣶⣼⣿⣾⣿⣯⣭⣭⣥⣭⣤⣤⣤⣤⣤⣼⣿⣿⣿⣧⣼⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣷⣿⣟⣞⣾⣿⣿⣿⣷⣶⣚⣿⣿⣖⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣞⣷⣷⣿⣿⣿⣿⣿⣻⣿⣿⣿⣟⣿⣾⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢿⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣟⣿⣖⣻⣻⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿ ⢸⣿⡟⣿⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⠻⠽⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠻⠿⠿⡿⠿⡿⢿⢿⣿⠽⢏⠫⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⠀⢼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣭⣿⣯⣽⣭⣽⣯⣿⣿⣿⡿⣿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⡶⠷⠾⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⡆⢰⢠⢠⢠⠀⠀⢢⡆⣄⡄⢄⠀⠀⠀⡆⢰⢠⣠⡀⠀⣄⡄⠄⡇⣄⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⢤⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠈⣬⣬⡬⠀⠀⠀⠁⠁⠀⠁⠀⠀⠀⣁⡅⠈⠈⠈⠀⠁⠁⢡⣥⣥⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠉⠩⣩⡍⠉⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠋⠁⠀⠀⠀⠀⣀⣤⠶⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣓⣵⢰⣦⣦⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⡆⠀⢀⣠⡶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⣰⣿⣿⢸⣿⠁⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣴⣶⣿⣿⣷⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣒⣐⣾⣿⢸⣻⡀⣲⣮⡺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⣿⣿⣿⢸⣖⠰⠿⢺⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣷⣿⣿⣿⣷⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢙⢛⣿⣿⢸⡟⠀⠈⠊⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢛⠓⢀⠀⣤⣤⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠸⣿⣿⢸⢷⣶⣶⢶⡎⠀⢀⡄⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣵⣿⣦⣲⡥⣶⣻⣽⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠻⢸⠭⠍⠭⡿⠇⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠭⡄⠀⢡⣴⠀⠰⠇⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠀⠀⠀⠀⠀⠃⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣧⠀⠀⠀⠀⢀⣠⣤⣄⢨⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⡆⠀⠀⠀⠀⢐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠉⠉⢠⠠⠤⠄⢈⠀⠀⠀⢸⣿⣿⣿⡟⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣴⣮⣼⣶⣼⣿⣾⣿⣯⣭⣭⣥⣭⣤⣤⣤⣤⣤⣼⣿⣿⣿⣧⣼⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣄⣀⣀⣀⣀⣠⣊⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣶⣶⣿⣟⣞⣾⣿⣿⣿⣷⣶⣺⣿⣿⣖⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣟⣗⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣟⣿⣾⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢿⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣷⣟⣾⣖⣻⣻⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿ ⢸⣿⡟⣿⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⠻⠽⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠻⠿⢿⡿⠿⡿⢽⢿⣿⠽⢫⠣⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠈⠀⠀⠀⠀⠀⢼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣭⣿⣯⣽⣭⣽⣯⣿⣿⣿⡿⣿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⡶⠷⠾⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⡆⢰⢠⢠⢠⠄⠀⢂⡆⣤⡄⢄⠀⠄⠀⡆⢢⢠⣤⡠⠄⣤⡄⠤⡇⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠌⢦⣶⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠈⣬⣬⡬⠀⠀⠀⠁⠁⠀⠁⠀⠀⠀⣁⡌⠈⠀⠀⠀⠁⠁⢡⣥⣵⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠩⣩⡍⠉⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠋⠁⠀⠀⠀⠀⣀⣤⠶⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣂⣷⢰⣦⣦⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⡆⠀⢀⣠⡶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⣼⣿⣿⢸⣿⠉⢹⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣴⣶⣿⣿⣷⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣒⣾⣿⢸⣺⠀⣰⣶⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⢸⣖⠲⡷⢺⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣷⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣚⣿⣿⢸⡟⠀⠘⠆⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢻⠓⢀⡀⣤⣤⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢹⣿⣿⢸⠷⣶⣶⢶⡎⠀⢀⠀⠀⠀⠀⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣵⣿⣦⣺⡥⣶⣻⣽⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠻⠸⠭⠏⠭⡿⠃⠀⢈⡁⠀⠀⣀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠭⡄⠈⢡⣶⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠄⠀⠀⠀⠐⠁⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢰⡆⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣧⠀⠀⠀⠀⢀⣠⣤⣄⢨⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⢲⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠉⠉⢀⠠⠠⠄⢈⠀⠀⠀⢸⣿⣿⣿⡟⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣴⣮⣼⣷⣼⣾⣾⣿⣯⣭⣭⣥⣭⣤⣤⣤⣤⣤⣽⣿⣿⣿⣧⣼⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣖⣀⣀⣀⣀⣀⣈⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣶⣶⣟⣟⣞⣾⣿⣿⣿⣷⣶⣚⣿⣿⣖⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣛⣟⣗⣷⣿⣿⣿⣿⣟⣻⣿⣿⣿⣟⣿⣾⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢿⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣷⣟⣾⣖⣻⣻⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿ ⢸⣿⡟⣿⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⠻⠽⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠻⠿⠿⡿⠿⡿⢿⢿⣿⠽⢫⠫⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠀⠀⠀⠀⠀⢼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣭⣿⣯⣽⣭⣽⣯⣿⣿⣿⡿⣿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⡶⠷⠾⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⡔⢢⢠⢠⢠⠄⠀⢂⡆⣠⡄⢄⠤⠄⠀⡖⢢⢠⣄⡠⠄⢤⡀⠤⡆⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⢦⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠑⠊⣨⣞⡘⠀⠀⠀⠃⠑⠀⠁⠂⠂⠀⣓⡈⠀⠂⠀⠂⠑⠃⢑⣇⣵⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠩⣩⡍⠉⠀⠀⠄⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠋⠁⠀⠀⠀⠀⣀⣤⠶⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣃⣴⢰⣦⡦⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⡆⠀⢀⣠⡶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⣨⣿⣾⢸⣯⠁⢙⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣴⣶⣿⣿⣷⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣒⢒⣾⣿⢸⣻⠀⣲⣶⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠐⣿⣿⣿⣿⢸⣖⠰⠷⢺⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣷⣿⣿⣿⣷⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢛⣿⣿⢸⡟⠀⠘⠎⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢻⠃⢈⡀⣤⣴⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⢾⣿⣿⢸⢷⣶⣶⢶⡎⠀⢀⡀⠀⠀⠀⠀⠠⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣴⣿⣦⣺⡥⣶⣻⣽⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠘⠭⠏⠭⡿⠃⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠭⡄⠈⢡⣴⠀⠰⡇⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠄⠀⠀⠠⠈⠁⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣧⠀⠀⠀⠀⢀⣠⣤⣄⢨⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡇⠀⠀⠀⠀⢐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠉⠉⢠⠠⠤⠄⢈⠀⠀⠀⢸⣿⣿⣿⡟⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣴⣦⣼⣶⣼⣿⣾⣷⣯⣭⣭⣥⣭⣤⣤⣤⣤⣤⣼⣿⣿⣿⣧⣼⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣊⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣟⣞⣾⣿⣿⣿⣷⣶⣚⣿⣟⣖⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣛⣛⣗⣷⣿⣿⣻⣿⣟⣻⣿⣿⣿⣟⣿⣾⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢿⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣖⣿⣻⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿ ⢸⣿⡟⣿⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⠻⠽⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠻⠿⠿⡿⠿⡿⢿⢿⣿⠽⢯⠣⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠀⠀⠀⠀⠀⢼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣭⣿⣯⣽⣭⣽⣯⣿⣿⣿⡿⣿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⡶⠷⠾⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⡔⢢⢀⢠⢠⠄⠀⢆⡆⡠⡀⣀⠤⠄⠀⡖⢢⠀⢄⠀⠄⠠⡀⡠⡆⡠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⢤⣶⣶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠑⠊⣘⣚⡘⠀⠀⠀⠃⠓⠂⠊⠂⠂⠀⣓⡊⠐⠒⠑⠂⠓⠃⢒⣃⣓⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠩⣩⡍⠉⠀⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠋⠁⠀⠀⠀⠀⣀⣤⠶⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⡃⣴⢰⣦⣤⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⡆⠀⢀⣠⡶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣰⣯⣿⢸⣿⠉⢙⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣴⣶⣿⣿⣷⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣲⣐⣾⣿⢸⣺⠀⡲⣶⡺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⣿⣿⣿⢸⣞⠲⠷⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣷⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⢛⣿⣿⢸⡗⠀⠘⠎⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢻⠓⢀⡀⣤⣤⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⢚⣿⣿⢸⢷⣶⣶⢶⡎⠀⢀⡄⠀⠀⠀⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣵⣿⣦⣲⡥⣶⣻⣽⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠘⠭⠏⠡⡿⠃⠀⠈⠁⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠭⡄⠈⢡⣴⠀⠰⡇⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠄⠀⠀⠀⠈⠃⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣧⠀⠀⠀⠀⢀⣠⣤⣄⢨⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡇⠀⠀⠀⠀⢐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⠿⠿⠿⠿⠟⠛⠛⠉⠉⠉⠉⢤⠠⠤⠄⢈⠀⠀⠀⢸⣿⣿⣿⡟⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣴⣦⣼⣶⣼⣷⣾⣷⣯⣭⣭⣭⣭⣤⣤⣤⣤⣤⣼⣿⣿⣿⣧⣼⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣆⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣶⣶⣿⣟⣞⣾⣿⣿⣿⣷⣶⣚⣿⣿⣖⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣖⣷⣷⣿⣿⣻⣿⣟⣻⣿⣿⣿⣟⣿⣾⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢿⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣟⣿⣖⣻⣻⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿ ⢸⣿⡟⣿⣋⣚⣿⣟⣛⣛⣛⣛⣛⣚⣙⠻⠽⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠻⠿⠿⡿⠿⡿⢿⢿⣿⠽⢯⠣⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠈⠀⠀⠀⠀⠀⢼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣭⣿⣯⣽⣭⣽⣯⣿⣿⣿⡿⣿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⡶⠷⠾⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⡄⢠⢀⢀⢀⠈⠈⢌⡍⡉⡀⡀⠀⠀⠀⡖⢠⠀⢀⠀⠀⠀⡀⡀⡏⡉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⢤⣶⣶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠓⠊⣘⣚⡘⠀⠀⠈⠃⠛⠃⠊⠀⠂⠀⣓⡊⠘⠙⠑⠂⠛⠃⢒⣃⣛⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠩⣩⡍⠉⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠋⠁⠀⠀⠀⠀⣀⣤⠶⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣒⣵⢰⣦⣴⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⡆⠀⢀⣠⡶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⣼⣿⣿⢸⣿⠁⢹⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣴⣶⣿⣿⣷⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣲⢒⣶⣿⢸⣻⠀⣰⣾⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⢸⣗⠰⠷⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣷⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠛⠛⣿⣿⢸⡟⠀⠘⠎⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢛⠓⢀⠀⣤⣤⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⢸⡿⢿⢸⠷⣶⣶⢶⡎⠀⢀⡄⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣴⣿⣦⣲⡥⣶⣻⣽⣷⠀⠀⠀⠀⠀⠀⠀⢀⠀⣸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⠸⠭⠟⠭⡿⠃⠀⠈⠃⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠭⡄⠈⢁⣴⠀⠐⡗⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠄⠀⠀⠠⠀⠃⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠝⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣧⠀⠀⠀⠀⢀⣠⣤⣄⢨⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠆⠀⠀⠀⠀⢐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⠿⠿⠿⠿⠟⠛⠛⠉⠉⠉⠉⢄⠠⠤⠀⢈⠀⠀⠀⢸⣿⣿⣿⡟⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣴⣮⣼⣶⣼⣾⣾⣷⣯⣭⣭⣭⣭⣤⣤⣤⣤⣤⣽⣿⣿⣿⣧⣼⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣆⣀⣀⣀⣀⣀⣈⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣟⣞⣾⣿⣿⣿⣷⣶⣚⣿⣟⣖⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣒⣗⣷⣿⣿⣻⣿⣿⣻⣿⣿⣿⣟⣿⣾⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢿⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣟⣿⣖⣻⣻⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿ ⢸⣿⡟⣿⣋⣚⣿⣟⣛⣛⣛⣛⣛⣚⣙⡻⠽⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠻⠿⠿⡿⠿⡿⢿⢿⣿⠽⢫⠫⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⠀⢼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣭⣿⣯⣽⣭⣽⣯⣿⣿⣿⡿⣿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⡶⠷⠾⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⡄⢠⢉⢉⢉⠉⠉⠍⡍⡉⡀⡀⠀⠀⠀⡄⢭⢀⢁⢀⠀⡀⡀⡈⡏⣉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⣤⣾⣶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⠘⣘⣘⡘⠀⠀⠈⠃⠋⠁⠊⠀⠀⠀⣃⡚⠘⠉⠑⠀⠋⠃⢂⣃⣋⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠩⣩⡍⠉⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠋⠁⠀⠀⠀⠀⣀⣤⠶⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠊⣵⢰⣦⣦⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⡆⠀⢀⣠⡶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣰⣿⣿⢸⣿⠉⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣴⣶⣿⣿⣷⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣲⢒⣶⣿⢸⣺⠀⣲⣾⡲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⢸⣞⠲⠷⢺⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣷⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⢚⣿⣿⢸⡟⠀⠘⠎⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢻⠓⢀⡀⣤⣤⣶⣶⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⢸⣿⣿⢸⢷⣶⣶⢶⡎⠀⢀⡄⠀⠀⠀⠀⠠⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣴⣿⣦⣺⡥⣶⣻⣽⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠻⠸⠭⠟⠭⡿⠇⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠭⡄⠈⢁⣴⠀⠐⠆⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠄⠀⠀⠀⠌⠁⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣧⠀⠀⠀⠀⢀⣀⣤⣄⢨⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡂⠀⠀⠀⠀⢰⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠉⠉⢀⠠⠤⠄⢈⠀⠀⠀⢸⣿⣿⣿⡟⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣴⣮⣼⣶⣼⣾⣾⣷⣯⣭⣭⣭⣭⣤⣤⣤⣤⣤⣽⣿⣿⣿⣧⣼⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣆⣀⣀⣀⣀⣠⣊⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣲⣶⣶⣿⣟⣞⣾⣿⣿⣿⣷⣶⣺⣿⣟⣖⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣒⣗⣿⣿⣿⣻⣿⣿⣻⣿⣿⣿⣟⣿⣾⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢿⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣗⣿⣿⣖⣿⣻⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿ ⢸⣿⡟⣿⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⠻⠽⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠻⠿⠿⡿⠿⡿⢽⢿⣿⠽⢫⠣⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠀⠀⠀⠀⠀⢼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣭⣿⣯⣽⣭⣽⣯⣿⣿⣿⡿⣿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⡶⠷⠾⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⡤⢄⢉⢉⢉⡉⠉⠍⡍⣉⡀⡀⣀⡀⠈⡭⢍⢉⡁⢀⡀⣀⡀⣈⡍⣉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⣦⣶⣶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⠘⣘⣼⠘⠀⠀⠈⠇⠋⠁⠊⠀⠀⠀⢧⠘⠈⠍⠁⠀⠋⠃⢢⣇⣫⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠩⣩⡍⠉⠀⢀⢠⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠋⠁⠀⠀⠀⠀⣀⣤⠶⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⣓⣴⢰⣦⣶⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⡆⠀⢀⣠⡶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡼⣧⣾⢸⣿⠁⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣴⣶⣿⣿⣷⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣲⣒⣾⣿⢸⣻⡀⡲⣾⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣾⣿⣿⢸⣖⠰⠿⢻⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣷⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⢛⣿⣿⢸⣟⠀⠘⠎⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢻⠓⢈⡂⣤⣴⣶⣶⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠾⣿⢿⢸⣷⣶⣶⢶⡎⠀⢀⡄⠀⠀⠄⠀⠀⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣵⣿⣦⣺⡥⣾⣻⣽⣷⠀⠀⠀⠀⠀⠀⠀⢀⠀⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢘⠭⠍⠭⡿⠇⠀⠘⠃⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠭⡄⠈⢁⣤⠀⠠⡆⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠄⠀⠀⠠⠌⠃⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣧⠀⠀⠀⠀⢀⣠⣤⣄⢨⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡂⠀⠀⠀⠀⢐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⠿⠿⠿⠿⠟⠛⠛⠉⠉⠉⠉⢠⠠⠤⠀⢈⠀⠀⠀⢸⣿⣿⣿⡟⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣴⣮⣼⣶⣼⣿⣾⣿⣯⣭⣭⣭⣭⣤⣤⣤⣤⣤⣽⣿⣿⣿⣧⣼⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣀⣐⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣶⣶⣿⣟⣞⣾⣿⣿⣿⣷⣷⣚⣿⣟⣖⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣟⣗⣷⣿⣿⣻⣿⣿⣻⣿⣿⣿⣟⣿⣾⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢿⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣗⣟⣾⣖⣿⣻⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿ ⢸⣿⡟⣿⣋⣚⣿⣟⣛⣛⣛⣛⣛⣚⣙⠻⠽⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠻⠿⠿⡿⠿⡿⢿⢿⣿⠽⢫⠣⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠀⠀⠀⠀⠀⢼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣭⣿⣯⣽⣭⣽⣯⣿⣿⣿⡿⣿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⡶⠷⠾⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⡠⢄⢉⢉⢉⡉⠉⡍⡍⢉⠀⠀⣀⡀⠈⡭⢍⢉⡁⢀⡀⢀⠀⢈⡍⢉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⢦⣶⣶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠢⠜⠸⠼⠸⠀⠀⠈⠇⠣⠅⠜⠄⠄⠀⠧⠜⠠⠬⠢⠄⠦⠇⠤⠇⠧⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠉⠩⣩⡍⠉⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠋⠁⠀⠀⠀⠀⣀⣤⠶⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣂⣴⢰⣦⣤⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⡆⠀⣀⣠⡶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⣸⣿⣿⢸⣯⠁⢙⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣴⣶⣿⣿⣷⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣐⣶⣿⢸⣺⡀⣲⣾⡺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⣾⣿⣿⢸⣖⠲⠷⢺⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣷⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠛⠛⣿⣿⢸⡟⠀⠘⠎⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢻⠒⢀⠀⣤⣤⣶⣶⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⢸⣿⣿⢸⢷⣶⣶⢶⡎⠀⢀⡄⠀⠀⠀⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣴⣿⣦⣺⡥⣶⣻⣽⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠻⠸⠭⠍⠡⡿⠃⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠭⡄⠈⢡⣤⠀⠰⠆⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠄⠀⠀⠠⠌⠃⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣧⠀⠀⠀⠀⢀⣠⣤⣄⢨⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⠀⠀⠀⠀⣀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⠿⠿⠿⠿⠟⠛⠛⠉⠉⠉⠉⢀⠠⠠⠀⢈⠀⠀⠀⢸⣿⣿⣿⡿⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣴⣯⣼⣶⣼⣾⣾⣷⣯⣭⣭⣭⣭⣤⣤⣤⣤⣤⣼⣿⣿⣿⣧⣼⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣄⣂⣀⣀⣀⣀⣊⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣲⣶⣶⣟⣟⣞⣾⣿⣿⣿⣷⣶⣚⣿⣿⣖⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣞⣗⣷⣿⣿⣿⣿⣟⣻⣿⣿⣿⣟⣿⣾⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢿⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣷⣟⣾⣖⣻⣻⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿ ⢸⣿⡟⣿⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⠻⠽⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠻⠿⠿⡿⠿⡿⢿⢿⣿⠽⢫⠫⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠈⠐⠀⠉⠀⠀⠀⠀⠀⢼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣭⣿⣯⣽⣭⣽⣯⣿⣿⣿⡿⣿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⡶⠷⠾⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⡠⢀⠉⢉⠉⡉⠉⡍⡉⠉⠀⠀⢀⡀⠈⡭⢉⠉⠁⠀⠀⢀⠀⢈⡍⢉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⢤⣶⣶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠣⠜⠸⠼⠸⠀⠀⠘⠇⠧⠅⠕⠄⠄⠀⠧⠜⠠⠬⠢⠄⠦⠇⠥⠇⠷⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠩⣩⡍⠉⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠋⠁⠀⠀⠀⠀⣀⣤⠶⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣂⣴⢰⣦⣤⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⡆⠀⢀⣠⡶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⣸⣿⣿⢸⣿⠁⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣴⣶⣿⣿⣷⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢒⣶⣿⢸⣺⠀⡰⣶⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⣿⢿⣿⣿⢸⣖⠲⡷⢺⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣷⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⣿⣿⢸⡟⠀⠈⠎⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢻⠂⢀⠀⣤⣤⣴⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠭⣺⣿⣿⢸⢷⣶⣶⢶⡎⠀⢀⡄⠀⠀⠀⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣴⣿⣦⣺⡥⣶⣻⣽⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠛⠸⠭⠍⠭⡿⠇⠀⠘⠁⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠭⡄⠈⢡⣴⠀⠰⡆⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠄⠀⠀⠠⠈⠃⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣧⠀⠀⠀⠀⢀⣠⣤⣄⢨⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⡂⠀⠀⠀⠀⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⠿⠿⠿⠿⠟⠛⠛⠉⠉⠉⠉⢀⠠⠤⠀⢈⠀⠀⠀⢸⣿⣿⣿⡟⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣴⣮⣼⣶⣬⣾⣾⣷⣯⣭⣭⣭⣭⣤⣤⣤⣤⣤⣼⣿⣿⣿⣧⣼⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣊⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣶⣶⣿⣟⣞⣾⣿⣿⣿⣷⣶⣺⣿⣟⣖⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣛⣛⣷⣿⣿⣿⣻⣿⣿⣻⣿⣿⣿⣟⣿⣾⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢿⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣷⣟⣿⣖⣿⣻⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿ ⢸⣿⡟⣿⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⠻⠽⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠻⠿⠿⡿⠿⡿⢿⢿⣿⠽⢫⠫⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠈⠈⠀⠈⠀⠀⠀⠀⠀⢼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣭⣿⣯⣽⣭⣽⣯⣿⣿⣿⡿⣿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⡶⠷⠾⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⡀⢈⠉⠉⠉⠉⠉⡛⡛⠉⠀⠀⠀⠀⠈⡉⢉⠉⠁⠀⠀⠀⠀⠈⡟⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⢦⣶⣶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠆⠸⠸⠸⠸⠀⠀⠐⠇⠗⠃⠕⠀⠀⠀⠇⠜⠸⠺⠪⠀⠖⠇⠅⠇⠗⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠩⣩⡍⠉⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠋⠁⠀⠀⠀⠀⣀⣤⠶⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢈⣒⣴⢰⣦⣦⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⡆⠀⢀⣠⡶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣴⣿⣾⢸⣿⠁⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣴⣶⣿⣿⣷⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣐⣶⣿⢸⣚⡀⣲⣾⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣾⣿⣿⣿⢸⣖⠲⠷⢺⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣷⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⢛⣿⣿⢸⣟⠀⠘⠎⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢻⠓⢀⠂⣤⣤⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⢺⣿⣿⢸⣷⣶⡶⢶⡎⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣴⣿⣦⣺⡥⣾⣻⣽⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠻⠸⠭⠍⠭⡿⠃⠀⢈⡁⠀⠀⣀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠯⡄⠈⢠⣶⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠄⠀⠀⠀⠌⠁⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠟⢀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⢰⡆⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣧⠀⠀⠀⠀⢀⣠⣤⣄⢨⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⢒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⠿⠿⠿⠿⠟⠛⠛⠉⠉⠉⠉⢀⠠⠤⠀⢈⠀⠀⠀⢸⣿⣿⣿⡟⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣴⣾⣼⣶⣼⣿⣾⣶⣯⣭⣭⣭⣭⣤⣤⣤⣤⣤⣼⣿⣿⣿⣧⣼⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣆⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣶⣷⣿⣟⣞⣾⣿⣿⣿⣷⣶⣚⣿⣟⣖⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣒⣷⣷⣿⣿⣻⣿⣿⣻⣿⣿⣿⣟⣿⣾⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢿⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣷⣿⣾⣗⣳⣻⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿ ⢸⣿⡟⣿⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⠻⠽⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠛⠿⢿⡿⠿⡿⢿⢿⣿⠽⢫⠫⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠀⠀⠀⠀⠀⢼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣭⣿⣯⣽⣭⣽⣯⣿⣿⣿⡿⣿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⡶⠷⠾⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⡀⢀⠛⠛⠛⠛⠛⡛⡛⠋⠀⠀⠀⠀⠈⡛⡛⠛⠁⠀⠀⠀⠀⠘⡛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⢤⣾⣶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠇⠸⠸⠸⠸⠁⠀⠐⠇⠟⠃⠕⠈⠁⠀⠇⠸⠸⠛⠊⠁⠟⠇⠍⡇⢟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠩⣩⡍⠉⠀⠀⠄⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠋⠁⠀⠀⠀⠀⣀⣤⠶⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣒⣵⢠⣦⣶⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⡆⠀⢀⣠⡶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⣼⣿⣿⢸⣿⠁⢹⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣴⣶⣿⣿⣷⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣲⢐⣾⣿⢸⣻⡀⣲⣾⡺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⢸⣖⠲⠷⢺⣬⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⣿⣿⢸⡟⠀⠸⠎⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢻⠓⢀⡂⣤⣤⣶⣶⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢾⣿⢿⢸⣷⣶⣶⢶⡎⠀⢀⡄⠀⠀⠀⠀⠀⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣴⣿⣦⣺⡥⣶⣻⣽⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⢸⠭⠏⠭⡿⠇⠀⠈⠃⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠭⡄⠈⢁⣴⠀⠰⡆⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠄⠀⠀⠠⠀⠃⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣧⠀⠀⠀⠀⢀⣠⣤⣄⢨⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡂⠀⠀⠀⠀⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠉⠉⢀⠠⠤⠀⢈⠀⠀⠀⢸⣿⣿⣿⡿⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣴⣶⣼⣶⣼⣿⣾⣷⣯⣭⣭⣥⣭⣤⣤⣤⣤⣤⣼⣿⣿⣿⣧⣼⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣊⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣷⣿⣟⣞⣾⣿⣿⣿⣷⣶⣚⣿⣿⣖⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣟⣗⣷⣿⣿⣿⣿⣟⣻⣿⣿⣿⣟⣿⣾⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢿⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣟⣿⣗⣻⣻⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿ ⢸⣿⡟⣿⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⡻⠽⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠛⠿⢿⠿⠿⡿⢿⢿⣿⠽⢯⠫⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠈⠀⠀⠀⠀⠀⢼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣭⣿⣯⣽⣭⣽⣯⣿⣿⣿⡿⣿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⡶⠷⠾⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⢀⡀⠛⠛⠛⠛⠛⡛⡛⠋⠀⠀⠀⠀⠈⣛⡛⠛⠁⠀⠀⠀⠀⠘⡛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⣦⣶⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢇⡸⢸⣸⢸⠁⠀⠐⡇⢎⡂⠱⡉⡁⠀⣇⡸⢘⡑⢎⡁⣌⡆⣉⡇⣟⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠩⣩⡍⠉⠀⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⣀⣤⠶⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⢰⣦⣤⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⡆⠀⢀⣠⡶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣘⣯⣿⢸⣿⠁⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣴⣶⣿⣿⣷⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣲⣐⣾⣿⢸⣻⡀⣰⣶⡺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⢿⣿⣿⢸⣖⠲⠷⢺⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢛⢛⣿⣿⢸⣟⠀⠘⠎⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢻⠓⢀⠂⣤⣤⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⢸⣿⣿⢸⣷⣶⣶⢶⡎⠀⢀⡄⠀⠀⠀⠀⠀⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣴⣿⣦⣺⡥⣶⣻⣽⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢻⠸⠭⠍⠭⡿⠇⠀⠘⠃⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠠⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠭⡄⠈⢁⣴⠀⠰⡆⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠄⠀⠀⠀⠀⠃⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣧⠀⠀⠀⠀⢀⣠⣤⣄⢨⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⠀⠀⠀⠀⣀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠉⠉⢀⠠⠄⠀⢈⠀⠀⠀⢸⣿⣿⣿⡟⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣴⣾⣼⣶⣼⣾⣾⣷⣯⣭⣭⣥⣭⣤⣤⣤⣤⣤⣽⣿⣿⣿⣧⣼⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣊⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣲⣶⣷⣿⣟⣞⣾⣿⣿⣿⣷⣶⣚⣿⣟⣖⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣚⣗⣷⣿⣿⣻⣿⣟⣻⣿⣿⣿⣟⣿⣾⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢿⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣷⣟⣾⣖⣳⣻⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿ ⢸⣿⡟⣿⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⡻⠽⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠛⠿⢿⡿⠿⡿⢿⢿⣿⠽⢯⠋⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⠀⢼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣭⣿⣯⣽⣭⣽⣯⣿⣿⣿⡿⣿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⡶⠷⠾⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⢀⡀⠛⠛⠛⠛⠛⡛⠛⠋⠀⠀⠀⠀⠈⣛⡛⠛⠁⠀⠀⠀⠀⠘⡛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠦⢤⣼⣶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢇⡸⢰⣸⢸⠁⠀⠱⡇⣎⡂⡲⡈⡁⠀⣇⡸⢀⣑⢄⡁⣌⡆⣊⡇⣎⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠩⣩⡍⠉⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⣀⣤⠶⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣃⣴⢰⣦⣤⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⡆⠀⣀⣠⡶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣼⣿⣿⢸⣿⠉⢹⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣴⣶⣿⣿⣷⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣂⣐⣾⣿⢸⣻⠀⣰⣶⡺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣿⣿⣿⣿⢸⣖⠲⠿⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⢛⣿⣿⢸⣟⠀⠘⠆⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢻⠓⢂⡀⣤⣴⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡲⢸⣿⢿⢸⣷⣶⣶⢶⡎⠀⢀⡀⠀⠀⠀⠀⢤⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣵⣿⣦⣺⡥⣶⣻⣽⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢸⠭⠏⠭⡿⠃⠀⢈⠁⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠠⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠫⡄⠈⢠⣶⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠄⠀⠀⠠⠈⠁⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⡆⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣧⠀⠀⠀⠀⢀⣠⣤⣄⢨⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⢰⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⠿⠿⠿⠿⠟⠛⠛⠉⠉⠉⠉⢀⠠⠤⠀⢈⠀⠀⠀⢸⣿⣿⣿⡿⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣴⣾⣼⣶⣼⣷⣿⣷⣯⣭⣭⣭⣭⣤⣤⣤⣤⣤⣼⣿⣿⣿⣧⣼⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣖⣀⣀⣀⣀⣀⣈⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣶⣷⣿⣟⣞⣾⣿⣿⣿⣷⣶⣚⣿⣿⣖⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣟⣗⣷⣿⣿⣿⣿⣿⣻⣿⣿⣿⣟⣿⣾⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢿⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣟⣾⣗⣻⣻⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿ ⢸⣿⡟⣿⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⠻⠽⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠛⠿⢿⡿⠿⡿⢿⢿⣿⠽⢯⠫⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⠀⢼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣭⣿⣯⣽⣭⣽⣯⣿⣿⣿⡿⣿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⡶⠷⠾⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⠀⠈⠛⠛⠻⠟⠻⠟⠛⠋⠀⠀⠀⠀⠈⣛⠛⠛⠃⠀⠀⠀⠀⠘⡻⠟⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⣶⣶⣶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣇⡸⢰⣰⢰⠀⠀⠱⡇⡦⡆⡢⠀⡀⠀⣇⡸⢠⢴⢄⠀⡤⡆⣂⡇⣦⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠩⣩⡍⠉⠀⠀⡀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⣀⣤⠶⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣂⣴⢰⣦⣶⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⡆⠀⣀⣠⡶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡲⣼⣷⣿⢸⣿⠉⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣴⣶⣿⣿⣷⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣲⣒⣾⣿⢸⣻⠀⣴⣶⡺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠠⣾⣾⣿⣿⢸⣖⠲⠿⢲⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠛⣿⣿⢸⡟⠀⠸⠎⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢻⠓⢀⠂⣤⣴⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠶⢹⣿⢿⢸⢷⣶⣶⢶⡎⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣴⣿⣦⣺⡥⣶⣻⣽⣷⠀⠀⠀⠀⠀⠀⠀⢀⠀⣸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢸⠭⠍⠭⡿⠇⠀⠈⡁⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠭⡄⠈⢡⣶⠀⠰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠄⠀⠀⠀⠌⠁⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣧⠀⠀⠀⠀⢀⣠⣤⣄⢨⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⢲⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⠿⠿⠿⠿⠟⠛⠛⠉⠉⠉⠉⢀⠠⠤⠀⢈⠀⠀⠀⢼⣿⣿⣿⡿⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣴⣾⣼⣶⣼⣿⣿⣷⣯⣭⣭⣥⣭⣤⣤⣤⣤⣤⣽⣿⣿⣿⣧⣼⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣆⣀⣀⣀⣀⣀⣊⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣶⣷⣿⣟⣞⣾⣿⣿⣿⣷⣷⣚⣿⣿⣖⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣟⣗⣷⣿⣿⣿⣿⣿⣻⣿⣿⣿⣟⣿⣾⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢿⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣷⣟⣿⣗⣻⣻⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿ ⢸⣿⡟⣿⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⡻⠽⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠻⠿⢿⡿⠿⡿⢿⢿⣿⠽⢯⠫⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠈⠀⠀⠀⠀⠀⢼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣭⣿⣯⣽⣭⣽⣯⣿⣿⣿⡿⣿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⡶⠷⠾⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⠀⠈⠿⠿⠿⠿⠿⠿⠟⠋⠀⠀⠀⠀⠈⠛⠛⠛⠁⠀⠀⠀⠀⠘⡿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⣦⣶⣶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⢸⢰⢰⢰⠂⠀⠡⡇⡦⠆⡢⠀⠀⠀⡇⣹⢰⠴⠔⠀⡦⡆⡂⡇⡶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠩⣩⡍⠉⠀⠀⢠⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⣀⣤⠶⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣂⣵⢰⣦⣶⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⡆⠀⣀⣠⡶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣯⣿⢸⣿⠁⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣴⣶⣿⣿⣷⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⣐⣶⣿⢸⣺⠀⣰⣮⣺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⢸⣟⠲⠷⢺⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠛⣿⣿⢸⡟⠀⠘⠎⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢻⠓⢈⡂⣤⣴⣶⣶⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣱⢻⣿⣿⢸⢷⣶⣶⢶⡎⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣴⣿⣦⣺⡥⣶⣻⣽⣷⠀⠀⠀⠀⠀⠀⠀⢀⠀⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢻⠘⠭⠏⠭⡿⠇⠀⠈⠁⠀⠀⣀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠭⡄⠈⢡⣶⠀⠰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠄⠀⠀⠀⠀⠃⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⢀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣧⠀⠀⠀⠀⢀⣀⣤⣄⢨⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡇⠀⠀⠀⠀⢰⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⠿⠿⠿⠿⠟⠛⠛⠉⠉⠉⠉⢠⠠⠤⠄⢈⠀⠀⠀⢸⣿⣿⣿⡟⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣴⣾⣼⣶⣬⣶⣿⣷⣯⣭⣭⣥⣭⣤⣤⣤⣤⣤⣼⣿⣿⣿⣧⣼⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣆⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣶⣷⣿⣟⣞⣾⣿⣿⣿⣷⣶⣚⣿⣟⣖⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣖⣗⣷⣿⣿⣻⣿⣿⣻⣿⣿⣿⣟⣿⣾⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢿⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣗⣿⣿⣗⣻⣻⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿ ⢸⣿⡟⣿⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⡻⠽⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠻⠿⢿⡿⠿⠿⢿⢿⣿⠽⢯⠫⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠈⠀⠀⠀⠀⠀⢼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣭⣿⣯⣽⣭⣽⣯⣿⣿⣿⡿⣿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⡶⠷⠾⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⠀⠈⠿⠿⠿⠿⠿⠿⠟⠋⠀⠀⠀⠀⠘⠛⠻⠟⠃⠀⠀⠀⠀⠸⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⢦⣶⣶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡎⢱⢰⢰⢰⠂⠀⠡⡇⡴⠆⣢⠒⠂⠀⡏⢱⠰⠦⠔⠂⡲⡄⠒⡇⡶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠩⣩⡍⠉⡄⠀⠄⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠁⠈⠉⠈⠀⠀⠀⣁⣬⠵⠂⠁⠁⠀⠉⠁⠈⠁⠈⠁⠉⠁⢈⣷⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣋⣵⢰⡦⣤⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⡆⠀⢀⣠⡶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣼⣿⣿⢸⣿⠉⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣴⣶⣿⣿⣷⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣒⣾⣿⢸⣚⠀⣲⣾⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣾⣿⣿⣿⢸⣖⠲⡷⢺⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠛⣿⣿⢸⣟⠀⠈⠊⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢻⠓⢊⡀⣤⣤⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠿⡿⣿⢸⠷⣶⣶⢶⡎⠀⢀⡀⠀⠀⠀⠀⠠⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣵⣿⣦⣺⡥⣾⣻⣽⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠻⠸⠭⠏⠭⡿⠇⠀⢈⠁⠀⠀⢀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠠⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠭⡄⠈⢡⣶⠀⢰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠄⠀⠀⠠⠀⠃⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠈⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⢰⡆⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣧⠀⠀⠀⠀⢀⣠⣤⣄⢨⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⢒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⠿⠿⠿⠿⠟⠛⠛⠉⠉⠉⠉⢠⠠⠤⠀⢈⠀⠀⠀⢸⣿⣿⣿⡟⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣴⣾⣼⣶⣼⣿⣾⣷⣯⣭⣭⣥⣭⣤⣤⣤⣤⣤⣽⣿⣿⣿⣧⣼⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣶⣷⣿⣟⣞⣾⣿⣿⣿⣷⣷⣺⣿⣟⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣟⣷⣿⣿⣿⣻⣿⣿⣻⣿⣿⣿⣟⣿⣾⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢿⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣷⣟⣾⣗⣻⣻⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿ ⢸⣿⡟⣿⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⡻⠽⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠻⠿⢿⡿⠿⡿⢿⢿⣿⠽⢯⠫⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠈⠀⠀⠀⠀⠀⢼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣭⣿⣯⣽⣭⣽⣯⣿⣿⣿⡿⣿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⡶⠷⠾⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⠀⠈⠿⠿⠿⠿⠿⠿⠟⠋⠀⠀⠀⠀⠈⠛⠻⠟⠃⠀⠀⠀⠀⠸⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢆⣦⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡊⢱⢠⢰⢰⠂⠀⠣⡇⡔⠄⢠⠒⠂⠀⡏⢱⠀⠢⡐⠂⡐⡄⠐⡇⡔⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠩⣩⡍⠉⡄⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠁⠈⠉⠈⠀⠀⠀⣁⣬⠥⠁⠁⠁⠀⠉⠁⠈⠉⠈⠁⠉⠁⢉⣥⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣂⣴⢰⣦⣤⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⡆⠀⣀⣠⡶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⣰⣿⣿⢸⣿⠉⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣴⣶⣿⣿⣷⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣲⣐⣾⣿⢸⣻⠀⣲⣶⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⣿⣿⢸⣖⠰⠷⢺⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢚⣿⣿⢸⡟⠀⠘⠊⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢻⠓⢀⡀⣤⣤⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢺⡿⢿⢸⢷⣶⣶⢶⡎⠀⢀⡄⠀⠀⠀⠀⠠⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣴⣿⣦⣺⡥⣶⣻⣽⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠯⠸⠭⠟⠭⡿⠇⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠭⡄⠈⢃⣴⠀⠰⡆⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠄⠀⠀⠠⠀⠃⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣧⠀⠀⠀⠀⢀⣠⣤⣄⢨⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡆⠀⠀⠀⠀⢐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠉⠉⢠⠠⠤⠀⢈⠀⠀⠀⢸⣿⣿⣿⡟⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣴⣶⣼⣶⣬⣿⣾⣷⣯⣭⣭⣥⣭⣤⣤⣤⣤⣤⣼⣿⣿⣿⣧⣼⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣊⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣲⣶⣷⣿⣟⣞⣾⣿⣿⣿⣷⣶⣚⣿⣿⣖⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣞⣗⣷⣿⣿⣿⣿⣟⣻⣿⣿⣿⣟⣿⣾⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢿⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣷⣟⣾⣖⣻⣻⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿ ⢸⣿⡟⣿⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⡻⠽⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠛⠿⢿⡿⠿⡿⢿⢿⣿⠽⢯⠋⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⢼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣭⣿⣯⣽⣭⣽⣯⣿⣿⣿⡿⣿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⡶⠷⠾⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⠀⠀⠿⠿⠿⠿⠿⠿⠟⠋⠀⠀⠀⠀⠘⠛⠻⠿⠃⠀⠀⠀⠀⠸⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡤⣦⣾⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡆⢰⢠⢰⢠⠂⠀⢢⡆⡄⠄⢄⠀⠀⠀⡏⢰⠀⠠⡀⠀⡀⡄⠔⡇⣔⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠉⠩⣩⡍⠉⡄⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠁⠈⠉⠈⠀⠀⠀⣁⣭⠥⠁⠁⠁⠀⠉⠁⠈⠉⠈⠁⠉⠁⢉⣥⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢘⡀⣵⢰⣦⣤⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⡆⠀⣀⣠⡶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣧⣿⢸⣿⠁⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣴⣶⣿⣿⣷⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣲⣒⣾⣿⢸⣺⠀⣲⣮⡺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠐⡿⣽⣿⣿⢸⣖⠰⠷⢻⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠛⠛⣿⣿⢸⣟⠀⠘⠎⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢻⠃⢀⡀⣤⣴⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⢻⣿⣿⢸⠷⡶⣶⢶⡎⠀⢀⡀⠀⠀⠀⠀⠠⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣵⣿⣦⣺⡥⣶⣻⣽⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⢸⠭⠟⠩⡿⠇⠀⠈⡁⠀⠀⡀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠠⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠭⡄⠈⢡⣶⠀⠰⡆⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⡀⠄⠄⠀⠀⠀⠀⠁⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⢰⡆⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣧⠀⠀⠀⠀⢀⣠⣤⣄⢨⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠇⠀⠀⠀⠀⢸⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⠿⠿⠿⠿⠟⠛⠛⠉⠉⠉⠉⢠⠠⠤⠄⢈⠀⠀⠀⢸⣿⣿⣿⡟⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣴⣶⣼⣶⣼⣿⣾⣿⣯⣭⣭⣭⣭⣤⣤⣤⣤⣤⣼⣿⣿⣿⣧⣼⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣖⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣷⣿⣟⣞⣾⣿⣿⣿⣷⣷⣺⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣟⣗⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣟⣿⣾⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢿⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣟⣾⣗⣻⣻⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿ ⢸⣿⡟⣿⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⡻⠽⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠻⠿⢿⡿⠿⡿⢿⢿⣿⠽⢯⠫⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠈⠀⠀⠀⠀⠀⢼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣭⣿⣯⣽⣭⣽⣯⣿⣿⣿⡿⣿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⡶⠷⠾⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⠀⠀⢿⢿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠘⠛⠻⠿⠃⠀⠀⠀⠀⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣦⣦⣾⣶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡆⢰⢠⢠⢠⠀⠀⢂⡆⣄⡄⢄⠀⠀⠀⡆⢰⢠⣠⡠⠀⣄⡄⠄⡇⣄⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠉⠩⣩⡍⠉⡄⠀⠄⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠈⠈⠈⠈⠀⠀⠀⣁⣥⠤⠁⠀⠀⠀⠁⠁⠈⠈⠈⠀⠁⠁⢁⣥⣥⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣵⢰⣦⣴⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⡆⠀⢀⣠⡶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣴⣿⣿⢸⣿⠁⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣴⣶⣿⣿⣷⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⣒⣾⣿⢸⣺⠀⣲⣶⡺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⢸⣖⠲⠷⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⡛⣿⣿⢸⡟⠀⠸⠊⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢻⠓⢈⡂⣤⣴⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⢻⣿⣿⢸⢷⣶⣶⢶⡎⠀⢀⡄⠀⠀⠀⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣵⣿⣦⣺⡥⣶⣻⣽⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠻⠸⠭⠟⠩⡿⠇⠀⠈⠁⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠩⡅⠀⢃⣴⠀⠐⡗⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠄⠀⠀⠠⠌⠃⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣧⠀⠀⠀⠀⢀⣠⣤⣄⢨⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡇⠀⠀⠀⠀⢐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⠿⠿⠿⠿⠟⠟⠛⠉⠉⠉⠉⢀⠠⠤⠄⢈⠀⠀⠀⢸⣿⣿⣿⡿⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣴⣾⣼⣶⣼⣿⣾⣷⣯⣭⣭⣥⣭⣤⣤⣤⣤⣤⣽⣿⣿⣿⣧⣼⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣆⣀⣀⣀⣀⣀⣊⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣷⣿⣟⣞⣾⣿⣿⣿⣷⣶⣚⣿⣟⣖⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣞⣷⣷⣿⣿⣿⣿⣻⣻⣿⣿⣿⣟⣿⣾⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢿⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣾⣗⣿⣻⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿ ⢸⣿⡟⣿⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⠻⠽⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠻⠿⢿⡿⠿⡿⢿⢿⣿⠽⢯⠫⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠈⠀⠉⠈⠁⠀⠀⠀⠀⢼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣭⣿⣯⣽⣭⣽⣯⣿⣿⣿⡿⣿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⡶⠷⠾⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠈⣛⣻⡿⠁⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠦⢤⣶⣶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡔⢢⢠⢠⢠⠄⠀⢂⡆⣠⡄⢄⠤⠄⠀⡖⢢⢠⣄⡠⠄⢤⡀⠤⡆⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠩⣩⡍⠉⡄⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠑⠊⠈⠚⠈⠀⠀⠀⣃⣑⠦⠉⠂⠂⠀⠓⠈⠀⠂⠐⠂⠑⠃⢑⣣⣵⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣁⣴⢰⣦⡴⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⡆⠀⢀⣠⡶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⣼⣷⣿⢸⣿⠁⠹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣴⣶⣿⣿⣷⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣒⢑⣾⣿⢸⣻⠀⣰⣾⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⣾⣿⣿⣿⢸⣖⠰⠷⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠛⢛⣿⣿⢸⣟⠀⠚⠊⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢻⠓⢈⠀⣤⣤⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡱⢺⣿⢿⢸⢷⣶⣶⢶⡎⠀⢀⡀⠀⠀⠀⠀⠠⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣴⣿⣦⣲⡥⣶⣻⣽⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠸⠭⠟⠡⡿⠇⠀⠈⡁⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠠⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠭⡄⠈⢡⣶⠀⠰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠄⠀⠀⠀⠈⠃⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⢐⡆⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣧⠀⠀⠀⠀⢀⣠⣤⣄⢨⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⢲⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⠿⠿⠿⠿⠟⠛⠛⠉⠉⠉⠉⢠⠠⠤⠀⢈⠀⠀⠀⠸⣿⣿⣿⡟⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣴⣾⣼⣶⣼⣿⣾⣷⣯⣭⣭⣥⣭⣤⣤⣤⣤⣤⣽⣿⣿⣿⣧⣼⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣆⣀⣀⣀⣀⣠⣂⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣷⣿⣟⣞⣾⣿⣿⣿⣷⣶⣚⣿⣟⣖⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣒⣗⣷⣿⣿⣻⣿⣟⣻⣿⣿⣿⣟⣿⣾⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢿⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣗⣷⣻⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿ ⢸⣿⡟⣿⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⡻⠽⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠛⠿⢿⡿⠿⡿⢿⢿⣿⠽⢏⠫⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⢼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣭⣿⣯⣽⣭⣽⣯⣿⣿⣿⡿⣿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⡶⠷⠾⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠈⣛⣻⡟⠁⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⣦⣶⣶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡔⢢⢠⢠⢠⠄⠀⢂⡆⡠⡀⢄⠤⠄⠀⡖⢢⠠⢄⠠⠄⠠⡀⠤⡆⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠩⣩⡍⠉⡄⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠑⠊⠘⠚⠘⠀⠀⠀⣃⣑⠂⠊⠂⠂⠀⠓⠊⠐⠂⠑⠂⠓⠃⢒⣃⣓⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣁⣴⢰⣦⣦⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⡆⠀⣀⣠⡶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡶⣜⣿⣿⢸⣿⠉⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣴⣶⣿⣿⣷⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡲⢐⣶⣿⢸⣻⡀⣲⣾⡺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⢸⣖⠰⠿⠺⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢛⣿⣿⢸⣟⠀⠸⠊⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢻⠃⢂⡀⣤⣴⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣻⣿⣿⢸⣷⣶⣶⢶⡎⠀⢀⡄⠀⠀⠀⠀⠠⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣴⣿⣦⣺⡥⣾⣻⣽⣷⠀⠀⠀⠀⠀⠀⠀⢀⠀⣸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠻⠸⠭⠝⠩⡿⠗⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠠⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠭⡄⠀⢃⣴⠀⠐⠖⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠄⠀⠀⠠⠈⠃⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠝⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣧⠀⠀⠀⠀⢀⣠⣤⣄⢨⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡆⠀⠀⠀⠀⢐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⠿⠿⠿⠿⠟⠛⠛⠉⠉⠉⠉⢠⠠⠤⠄⢈⠀⠀⠀⢸⣿⣿⣿⡟⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣴⣾⣼⣶⣼⣿⣿⣷⣯⣭⣭⣥⣭⣤⣤⣤⣤⣤⣽⣿⣿⣿⣧⣼⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣊⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣶⣷⣿⣟⣞⣾⣿⣿⣿⣷⣶⣚⣿⣿⣖⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣞⣷⣷⣿⣿⣿⣿⣿⣻⣿⣿⣿⣟⣿⣾⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢿⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣗⣟⣾⣗⣻⣻⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿ ⢸⣿⡟⣿⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⡻⠽⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠻⠿⢿⡿⠿⡿⢿⢿⣿⠽⢯⠫⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠈⠁⠀⠀⠀⠀⢼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣭⣿⣯⣽⣭⣽⣯⣿⣿⣿⡿⣿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⡶⠷⠾⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠈⣛⣻⡿⠃⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⢦⣶⣶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡔⢢⢀⢠⢠⠄⠀⢆⡄⡠⡀⣀⠤⠄⠀⡖⢢⠀⢄⠀⠄⠠⡀⡠⡆⡠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠉⠩⣩⡍⠉⡄⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠑⠊⠘⠚⠘⠀⠀⠈⣃⣓⠂⠊⠂⠂⠀⠓⠊⠐⠒⠑⠂⠓⠃⢒⣃⣓⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡂⣴⢰⣦⣤⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⡆⠀⣀⣠⡶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⣰⣿⣿⢸⣿⠉⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣴⣶⣿⣿⣷⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣒⢒⣶⣿⢸⣻⠀⡰⣦⡺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⣿⢿⣿⣿⢸⣞⠰⠿⢺⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⢛⣿⣿⢸⡟⠀⠘⠎⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢻⠓⢀⡂⣤⣤⣶⣶⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⢾⣿⣿⢸⣷⣶⣶⢶⡎⠀⢀⡄⠀⠀⠀⠀⠠⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣵⣿⣦⣺⡥⣶⣻⣽⣷⠀⠀⠀⠀⠀⠀⠀⢀⠀⣸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠸⠭⠟⠭⡿⠗⠀⠈⠁⠀⠀⣀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠭⡅⠀⢡⣶⠀⠐⡗⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠄⠀⠀⢀⠜⠃⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣧⠀⠀⠀⠀⢀⣠⣤⣄⢨⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡇⠀⠀⠀⠀⢐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⠿⠿⠿⠿⠟⠛⠛⠉⠉⠉⠉⢤⠠⠠⠀⢈⠀⠀⠀⢸⣿⣿⣿⡟⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣴⣾⣼⣶⣼⣷⣿⣷⣯⣭⣭⣥⣭⣤⣤⣤⣤⣤⣽⣿⣿⣿⣧⣼⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣖⣀⣀⣀⣀⣠⣈⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣶⣷⣿⣟⣞⣾⣿⣿⣿⣷⣷⣚⣿⣟⣖⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣖⣷⣷⣿⣿⣻⣿⣿⣻⣿⣿⣿⣟⣿⣾⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢿⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣷⣿⣾⣗⣻⣻⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿ ⢸⣿⡟⣿⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⠻⠽⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠻⠿⢿⡿⠿⡿⢿⢿⣿⠽⢫⠋⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⠈⠉⠀⠀⠀⠀⠀⢼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣭⣿⣯⣽⣭⣽⣯⣿⣿⣿⡿⣿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⡶⠷⠾⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠈⣛⣻⡟⠁⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⢦⣶⣶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡄⢠⢀⢀⢈⠉⠁⢄⡄⡀⡀⡀⠀⠀⠀⡖⢠⢀⢀⠀⠀⠀⡀⡀⡏⡉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠩⣩⡍⠉⡄⢀⢠⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⠊⠘⠘⠘⠀⠀⠈⣃⣋⡃⠊⠀⠂⠀⠃⠊⠘⠙⠑⠀⠋⠃⢒⣃⣛⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣂⣵⢰⣦⣴⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⡆⠀⢀⣠⡶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⣼⣷⣿⢸⣿⠁⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣴⣶⣿⣿⣷⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢰⣐⣾⣿⢸⣺⡀⣲⣶⡺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⢸⣖⠲⠿⢺⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣷⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⢛⣿⣿⢸⣟⠀⠸⠎⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢻⢓⢀⡂⣤⣴⣶⣶⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠞⢾⣿⣿⢸⡷⣶⣶⢶⡎⠀⢀⡀⠀⠀⠀⠀⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣴⣿⣦⣺⡥⣾⣻⣽⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢿⠘⠭⠟⠭⡿⠇⠀⠘⠁⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠭⡄⠀⢡⣶⠀⠰⡇⠀⠂⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⡀⠄⠄⠀⠀⠀⠈⠃⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⢰⡆⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣧⠀⠀⠀⠀⢀⣠⣤⣄⢨⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⢰⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⠿⠿⠿⠿⠟⠛⠛⠉⠉⠉⠉⢠⠠⠄⠄⢈⠀⠀⠀⢸⣿⣿⣿⡿⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣴⣾⣼⣶⣼⣿⣿⣷⣯⣭⣭⣭⣭⣤⣤⣤⣤⣤⣽⣿⣿⣿⣧⣼⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣄⣀⣀⣀⣀⣠⣂⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣶⣶⣿⣟⣞⣾⣿⣿⣿⣷⣷⣺⣿⣟⣖⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣖⣗⣿⣿⣿⣻⣿⣿⣻⣿⣿⣿⣟⣿⣾⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢿⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣷⣟⣿⣗⣿⣻⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿ ⢸⣿⡟⣿⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⠻⠽⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠻⠿⠿⡿⠿⡿⢿⢿⣿⠽⢫⠫⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠁⠀⠀⠀⠀⠙⠉⠀⠀⠀⠀⠀⢼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣭⣿⣯⣽⣭⣽⣯⣿⣿⣿⡿⣿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⡶⠷⠾⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠈⣛⣻⡟⠁⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⢦⣶⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡤⢄⢉⢉⢉⡉⠉⠄⡄⣀⡀⡀⣀⡀⠀⡤⢌⢀⡀⢀⡀⣀⡀⣈⡍⣉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠩⣩⡍⠉⡄⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⠘⠘⠘⠘⠀⠀⠈⣇⣫⠁⠚⠄⠀⠀⠧⠘⠈⠍⠁⠀⠊⠃⠢⣇⣫⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣂⣴⢰⣦⣤⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⡆⠀⢀⣠⡶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣿⣿⢸⣯⠁⢹⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣴⣶⣿⣿⣷⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣒⣒⣾⣿⢸⣺⡀⣰⣶⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢿⢿⣿⣿⢸⣖⠲⠾⢻⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣷⣿⣿⣿⣷⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢛⢛⣿⣿⢸⡟⠀⠸⠎⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢻⢓⢀⠀⣤⣤⣶⣶⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢸⡿⣿⢸⣷⣶⣶⢶⡎⠀⢀⡀⠀⠀⠀⠀⠠⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣴⣿⣦⣲⡥⣶⣻⣽⣷⠀⠀⠀⠀⠀⠀⠀⢀⠀⣸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠻⠸⠭⠍⠭⡿⠇⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠯⠄⠈⢡⣤⠀⠠⠆⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠄⠀⠀⠀⠈⠁⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣧⠀⠀⠀⠀⢀⣀⣤⣄⢨⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⢐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠉⠉⢠⠠⠄⠄⢈⠀⠀⠀⢸⣿⣿⣿⡿⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣴⣮⣼⣶⣬⣿⣾⣷⣯⣭⣭⣭⣭⣤⣤⣤⣤⣤⣽⣿⣿⣿⣧⣼⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣔⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣶⣶⣿⣟⣞⣾⣿⣿⣿⣷⣶⣚⣿⣟⣖⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣛⣚⣗⣷⣿⣿⣻⣿⣿⣻⣿⣿⣿⣟⣿⣾⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢿⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣖⣟⣿⣗⣿⣻⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿ ⢸⣿⡟⣿⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⡻⠽⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠻⠿⠿⡿⠿⡿⢿⢿⣿⠽⢫⠫⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠀⠀⠀⠀⠀⢼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣭⣿⣯⣽⣭⣽⣯⣿⣿⣿⡿⣿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⡶⠷⠾⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠈⣛⣻⡟⠃⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⢦⣾⣶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡠⢄⢉⢉⢉⡉⠉⠄⡄⢀⡀⡀⣀⡀⠀⡤⢌⢀⡀⢀⡀⣀⠀⣈⡍⣉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠩⣩⡍⠉⡄⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠣⠜⠸⠼⠸⠀⠀⠈⠇⠫⠅⠚⠄⠄⠀⠧⠜⠨⠍⠡⠄⠮⠇⠠⣇⣫⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣓⣵⢰⣦⣶⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⡆⠀⢀⣠⡶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⣴⣷⣿⢸⣿⠉⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣴⣶⣿⣿⣷⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⣒⣾⣿⢸⣾⠀⣲⣮⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⢸⣖⠲⠿⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣷⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢙⢛⣿⣿⢸⣟⠀⠸⠎⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢻⠓⢀⡀⣤⣴⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⢺⣿⣿⢸⣷⣶⣶⢶⡎⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣵⣿⣦⣺⡥⣾⣻⣽⣷⠀⠀⠀⠀⠀⠀⠀⢀⠀⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⢻⢸⠭⠏⠭⡿⠇⠀⠈⠁⠀⠀⣀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠠⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠭⡄⠈⢁⣴⠀⠰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠄⠀⠀⠀⠈⠁⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠟⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠠⡆⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣧⠀⠀⠀⠀⢀⣠⣤⣄⢨⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡇⠀⠀⠀⠀⢺⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⠿⠿⠿⠿⠟⠛⠛⠉⠉⠉⠉⢠⠠⠤⠄⢈⠀⠀⠀⢸⣿⣿⣿⡿⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣴⣾⣼⣶⣬⣿⣾⣷⣯⣭⣭⣭⣭⣤⣤⣤⣤⣤⣽⣿⣿⣿⣧⣼⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣖⣀⣀⣀⣀⣐⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣟⣞⣾⣿⣿⣿⣷⣶⣚⣿⣟⣖⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣖⣷⣷⣿⣿⣻⣿⣿⣻⣿⣿⣿⣟⣿⣾⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢿⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣟⣿⣗⣿⣻⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿ ⢸⣿⡟⣿⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⡻⠽⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠻⠿⠿⡿⠿⡿⢿⢿⣿⠽⢏⠫⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠁⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⢼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣭⣿⣯⣽⣭⣽⣯⣿⣿⣿⡿⣿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⡶⠷⠾⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠈⣛⣻⡟⠃⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⢶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡠⢄⠉⢉⠉⡉⠉⡄⡄⢀⠀⠀⣀⡀⠀⡤⢌⠀⡀⢀⡀⢀⠀⢈⡍⢉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠩⣩⡍⠉⡄⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠣⠜⠸⠼⠸⠀⠀⠈⠇⠧⠅⠜⠄⠄⠀⠧⠜⠠⠬⠢⠄⠦⠇⠥⠇⠧⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣵⢰⡦⣤⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⡆⠀⢀⣠⡶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣼⣿⣿⢸⣿⠉⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣴⣶⣿⣿⣷⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣒⢐⣾⣿⢸⣺⠀⣲⣶⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⣻⣿⣿⣿⢸⣖⠰⠷⢺⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣷⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢛⣿⣿⢸⡟⠀⠘⠆⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢻⠓⢀⡀⣤⣤⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢲⣿⣿⢸⢷⣶⣶⢶⡎⠀⢀⡄⠀⠀⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣵⣿⣦⣲⡥⣶⣻⣽⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠘⠭⠝⠩⡿⠇⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠭⡄⠈⢡⣴⠀⠰⡆⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠄⠀⠀⠠⠈⠃⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣧⠀⠀⠀⠀⢀⣠⣤⣄⢨⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡆⠀⠀⠀⠀⢀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠉⠉⢀⠠⠤⠄⢈⠀⠀⠀⢸⣿⣿⣿⡟⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣴⣮⣼⣶⣬⣿⣾⣷⣯⣭⣭⣥⣭⣤⣤⣤⣤⣤⣽⣿⣿⣿⣧⣼⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣔⣀⣀⣀⣀⣀⣊⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣲⣶⣶⣿⣟⣞⣾⣿⣿⣿⣷⣶⣚⣿⣟⣖⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣛⣞⣗⣷⣿⣿⣿⣿⣻⣻⣿⣿⣿⣟⣿⣾⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢿⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣖⣿⣿⣖⣿⣻⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿ ⢸⣿⡟⣿⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⠻⠽⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠻⠿⠿⡿⠿⡿⢿⢿⣿⠽⢫⠫⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠀⠀⠀⠀⠀⢼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣭⣿⣯⣽⣭⣽⣯⣿⣿⣿⡿⣿⢿⡟⡿⣻⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⡶⠷⠾⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠈⣛⣻⡟⠃⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⣴⣶⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⢀⠉⢉⠉⠉⠉⡀⡀⠀⠀⠀⠀⠀⠀⡤⢈⠀⠀⠀⠀⠀⠀⠈⡍⢛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠩⣩⡍⠉⡄⠀⠄⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠧⠜⠸⠼⠸⠀⠀⠘⠇⠧⠇⠝⠄⠄⠀⠧⠜⠠⠬⠢⠄⠦⠇⠥⠇⠷⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣂⣵⢰⣦⣴⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⡆⠀⣀⣠⡶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⣼⣯⣾⢸⣿⠉⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣴⣶⣿⣿⣷⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣐⣾⣿⢸⣻⡀⣲⣾⡺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⣾⣿⣿⣿⢸⣖⠲⠷⢺⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣷⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢛⣛⣿⣿⢸⡟⠀⠈⠎⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢻⠓⢂⡀⣤⣴⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡽⢿⣟⣿⢸⠷⣶⣶⢶⡎⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣵⣿⣦⣲⡥⣴⣻⣽⣷⠀⠀⠀⠀⠀⠀⠀⢀⠀⣸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠻⢘⠭⠏⠭⡿⠗⠀⠘⠃⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠭⡄⠈⢃⣤⠀⠰⠖⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠄⠀⠀⠠⠀⠃⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡶⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣧⠀⠀⠀⠀⢀⣠⣤⣄⢨⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⠀⠀⠀⠀⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⠿⠿⠿⠿⠟⠛⠛⠉⠉⠉⠉⢀⠠⠤⠄⢈⠀⠀⠀⢸⣿⣿⣿⡟⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣴⣾⣼⣶⣼⣿⣾⣷⣯⣭⣭⣭⣭⣤⣤⣤⣤⣤⣽⣿⣿⣿⣧⣼⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣄⣂⣀⣀⣀⣀⣊⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣶⣶⣿⣟⣞⣾⣿⣿⣿⣷⣷⣺⣿⣟⣖⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣛⣖⣗⣿⣿⣿⣻⣿⣿⣻⣿⣿⣿⣟⣿⣾⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢿⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣗⣟⣿⣗⣿⣻⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿ ⢸⣿⡟⣿⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⠻⠽⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠻⠿⠿⡿⠿⡿⢿⢿⣿⠽⢫⠫⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠁⠀⠀⠀⠀⠘⠈⠀⠀⠀⠀⠀⢼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣭⣿⣯⣽⣭⣽⣯⣿⣿⣿⡿⣿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⡶⠷⠾⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠈⣛⣻⡟⠁⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠦⣤⣶⣶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⡀⠛⠛⠛⠛⠉⡀⡀⠀⠀⠀⠀⠀⠀⣒⡚⠀⠀⠀⠀⠀⠀⠘⡛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠩⣩⡍⠉⡄⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠇⠸⠸⠸⠸⠁⠀⠐⡇⢟⠃⠕⠈⠁⠀⠇⠸⠘⠓⠊⠁⠟⠇⢍⡇⢟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣓⣷⢰⣦⣴⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⡆⠀⣀⣠⡶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣼⣿⣿⢸⣯⠈⢹⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣴⣶⣿⣿⣷⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣐⣾⣿⢸⣺⠀⣲⣶⡺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠔⣿⣿⣿⣿⢸⣖⠲⡿⢺⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣷⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⢛⢛⣿⣿⢸⣟⠀⠘⠎⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢻⠓⢀⡀⣤⣴⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠵⢸⡿⢿⢸⣷⡶⣶⢶⡎⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣵⣿⣦⣲⡥⣾⣻⣽⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⢻⢸⠭⠍⠩⡿⠇⠀⠈⠁⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠭⡄⠈⢡⣶⠀⠰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠄⠀⠀⠀⠌⠃⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣧⠀⠀⠀⠀⢀⣠⣤⣄⢨⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⢰⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⠿⠿⠿⠿⠟⠛⠛⠉⠉⠉⠉⢠⠠⠠⠀⢈⠀⠀⠀⢸⣿⣿⣿⡟⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣴⣶⣼⣶⣬⣿⣾⣷⣯⣭⣭⣭⣭⣤⣤⣤⣤⣤⣼⣿⣿⣿⣧⣼⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣆⣀⣀⣀⣀⣀⣊⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣶⣶⣿⣟⣞⣾⣿⣿⣿⣷⣶⣚⣿⣟⣖⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣞⣷⣷⣿⣿⣻⣿⣻⣻⣿⣿⣿⣟⣿⣾⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢿⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣗⣿⣿⣗⣿⣻⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿ ⢸⣿⡟⣿⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⡻⠽⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠻⠿⠿⡿⠿⡿⢿⢿⣿⠽⢏⠫⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠁⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⠀⢼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣭⣿⣯⣽⣭⣽⣯⣿⣿⣿⡿⣿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⡶⠷⠾⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠈⣛⣻⡿⠃⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⢦⣶⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡀⠛⠛⠛⠛⠉⡀⡀⠀⠀⠀⠀⠀⠀⣒⡚⠀⠀⠀⠀⠀⠀⠘⡛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠩⣩⡍⠉⡄⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢇⡸⠸⣸⢸⠁⠀⠐⡇⢞⡃⠵⡉⡁⠀⣇⡸⠘⡓⢊⡁⢝⡆⢍⡇⢟⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣂⣴⢰⡦⣤⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⡆⠀⢀⣠⡶⠚⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣷⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⣰⣿⣾⢸⣿⠉⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣴⣶⣿⣿⣷⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣒⣾⣿⢸⣻⠀⣰⣶⡺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣿⢻⣿⣿⢸⣖⠲⠷⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣷⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠙⢛⣿⣿⢸⣟⠀⠸⠊⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢻⠓⢀⠀⣤⣤⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠓⣺⣿⣿⢸⣷⡶⣶⢶⡎⠀⢀⡄⠀⠀⠀⠀⠠⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣴⣿⣦⣲⡥⣶⣻⣽⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢿⠘⠭⠏⠩⡿⠇⠀⠈⠁⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠠⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠭⡄⠈⢡⣶⠀⠰⡗⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠄⠀⠀⠀⠌⠃⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡦⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣧⠀⠀⠀⠀⢀⣠⣤⣄⢨⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⢐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⠿⠿⠿⠿⠟⠛⠛⠉⠉⠉⠉⢠⠠⠠⠀⢈⠀⠀⠀⢸⣿⣿⣿⡟⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣴⣦⣼⣶⣬⣿⣾⣿⣯⣭⣭⣭⣭⣤⣤⣤⣤⣤⣼⣿⣿⣿⣧⣼⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣄⣀⣀⣀⣀⣠⣊⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣲⣶⣶⣿⣟⣞⣾⣿⣿⣿⣷⣶⣺⣿⣟⣖⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣛⣒⣗⣿⣿⣿⣻⣿⣿⣻⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢿⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣶⣟⣿⣖⣿⣻⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿ ⢸⣿⡟⣿⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⠻⠽⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠻⠿⠿⡿⠿⡿⢽⢿⣿⠽⢯⠫⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠀⠀⠀⠀⠀⢼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣭⣿⣯⣽⣭⣽⣯⣿⣿⣿⡿⣿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⡶⠷⠾⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠈⣛⣻⡟⠃⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢦⢤⣶⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡀⠛⠛⠛⠛⠉⡀⠀⠀⠀⠀⠀⠀⠀⣒⡚⠀⠀⠀⠀⠀⠀⠘⡛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠩⣩⡍⠉⡄⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢇⡸⢸⣸⢸⠁⠀⠑⡇⣎⡂⡳⡉⡁⠀⣇⡸⢈⣑⢌⡁⣌⡆⣉⡇⣟⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣂⣷⢰⡦⣶⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⡆⠀⢀⣠⡶⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣷⣿⢸⣿⠉⠹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣴⣶⣿⣿⣷⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣲⣓⣶⣿⢸⣺⡀⣲⣶⡺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠢⣿⣿⣿⣿⢸⣞⠲⠷⢺⣬⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣷⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⢛⣿⣿⢸⡟⠀⠨⠎⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢻⠒⢀⡀⣤⣤⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⢺⣿⣿⢸⢷⣶⣶⢶⣎⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣴⣿⣦⣺⡥⣶⣻⣽⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢸⠭⠟⠭⣿⠟⠀⠈⠁⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠩⡤⠀⢁⣶⠀⠐⡿⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠄⠀⠀⠠⠌⠃⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣧⠀⠀⠀⠀⢀⣠⣤⣄⢨⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡂⠀⠀⠀⠀⢐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⠿⠿⠿⠿⠟⠛⠛⠉⠉⠉⠉⢠⠠⠤⠄⢈⠀⠀⠀⢸⣿⣿⣿⡟⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣴⣾⣼⣶⣬⣿⣾⣷⣯⣭⣭⣥⣭⣤⣤⣤⣤⣤⣽⣿⣿⣿⣧⣼⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣆⣀⣀⣀⣀⣀⣈⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣶⣶⣿⣟⣞⣾⣿⣿⣿⣷⣶⣚⣿⣟⣖⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣖⣗⣷⣿⣿⣻⣿⣿⣻⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢿⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣷⣟⣿⣗⣿⣻⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿ ⢸⣿⡟⣿⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⡻⠽⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠻⠿⠿⡿⠿⡿⢿⢿⣿⠽⢯⠫⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠈⠀⠀⠀⠀⠀⢼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣭⣿⣯⣽⣭⣽⣯⣿⣿⣿⡿⣿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⡶⠷⠾⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠈⣛⣻⡿⠃⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⣤⣾⣶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡀⠛⠛⠛⠛⠉⡀⠀⠀⠀⠀⠀⠀⠀⣒⡚⠀⠀⠀⠀⠀⠀⠘⡛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠩⣩⡍⠉⡄⠀⢠⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢇⡸⢰⣰⢰⠁⠀⠱⡇⣎⡂⡲⡉⡁⠀⣇⡸⢀⣑⢄⡁⣌⡆⣊⡇⣎⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣒⣵⢰⣦⣶⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⡆⠀⢀⣠⡶⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡦⣴⣿⣿⢸⣿⠁⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣴⣶⣿⣿⣷⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣐⣶⣿⢸⣺⠀⣲⣶⡺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⣿⣾⣿⣿⢸⣖⠲⡿⢺⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣷⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠐⠛⢚⣿⣿⢸⣟⠀⠸⠊⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣻⠒⢀⡂⣤⣴⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠷⠺⣿⣿⢸⢷⣶⣶⢶⡎⠀⢀⡄⠀⠀⠀⠀⠠⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣵⣿⣦⣺⡥⣶⣻⣽⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠻⠸⠭⠏⠭⣿⠟⠀⠈⠁⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠭⡅⠀⢃⣴⠀⠐⠷⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠄⠀⠀⠠⠀⠃⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣧⠀⠀⠀⠀⢀⣠⣤⣄⢨⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡂⠀⠀⠀⠀⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⠿⠿⠿⠿⠟⠛⠛⠉⠉⠉⠉⢠⠠⠤⠀⢈⠀⠀⠀⢸⣿⣿⣿⡟⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣴⣶⣼⣶⣬⣿⣿⣿⣯⣭⣭⣭⣭⣤⣤⣤⣤⣤⣼⣿⣿⣿⣧⣼⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣊⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣶⣶⣿⣟⣞⣾⣿⣿⣿⣷⣶⣚⣿⣿⣖⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣟⣗⣷⣿⣿⣿⣿⣿⣻⣿⣿⣿⣟⣿⣾⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢿⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣗⣟⣿⣗⣻⣻⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿ ⢸⣿⡟⣿⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⠻⠽⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠻⠿⠿⡿⠿⡿⢿⢿⣿⠽⢯⠫⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠀⠀⠀⠀⠀⢼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣭⣿⣯⣽⣭⣽⣯⣿⣿⣿⡿⣿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⡶⠷⠾⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠈⣛⣻⡟⠃⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⢦⣶⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠿⠿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠒⠚⠀⠀⠀⠀⠀⠀⠸⡿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠩⣩⡍⠉⠀⠀⠄⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⢸⢰⢰⢰⠀⠀⠡⡇⡦⠆⡢⠀⠀⠀⡇⢱⢰⠴⠔⠀⡦⡆⡒⡇⡶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣋⣵⢰⣦⣶⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣶⣶⣿⣟⣞⣾⣿⣿⣿⣷⣶⣚⣿⣟⣖⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣟⣗⣷⣿⣿⣿⣿⣻⣻⣿⣿⣿⣟⣿⣾⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢿⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣗⣿⣿⣗⣿⣻⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿ ⢸⣿⡟⣿⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⡻⠽⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠻⠿⠿⡿⠿⡿⢿⢿⣿⠽⢯⠫⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠈⠀⠀⠀⠀⠀⢼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣭⣿⣯⣽⣭⣽⣯⣿⣿⣿⡿⣿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⡶⠷⠾⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠈⣛⣻⡿⠃⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢦⣦⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠿⠿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠒⠞⠀⠀⠀⠀⠀⠀⠸⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠉⠩⣩⡍⠉⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡋⢱⢰⢰⢰⠂⠀⠡⡇⡶⠆⡢⠒⠂⠀⡏⢱⠰⠦⠔⠂⡲⡆⡒⡇⡶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣂⣵⢰⣦⣦⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⡄⠈⢀⣠⡴⠒⠁⠈⠀⠀⠁⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⢈⣷⣾⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⣴⣾⣿⢸⣿⠁⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣴⣶⣿⣿⣷⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⣒⣓⣶⣿⢸⣻⠀⣲⣶⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⣿⣿⣿⣿⢸⣗⠲⡷⢺⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣷⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢙⢛⣿⣿⢸⣟⠀⠈⠊⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢻⠒⢀⡂⣤⣴⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡲⢮⣿⣿⢸⢷⣶⣶⢶⣎⠀⢀⡄⠀⠀⠀⠀⠀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣴⣿⣦⣺⡥⣾⣻⣽⣷⠀⠀⠀⠀⠀⠀⠀⢀⠀⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠻⠸⠭⠟⠩⣿⠿⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠭⡄⠀⢃⣤⠀⠀⠶⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠄⠀⠀⠠⠀⠃⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣧⠀⠀⠀⠀⢀⣠⣤⣄⢨⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⠿⠿⠿⠿⠟⠛⠛⠉⠉⠉⠉⢠⠠⠤⠀⢈⠀⠀⠀⢸⣿⣿⣿⡟⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣴⣶⣼⣶⣬⣿⣾⣷⣯⣭⣭⣭⣭⣤⣤⣤⣤⣤⣽⣿⣿⣿⣧⣼⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣊⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣶⣶⣿⣟⣞⣾⣿⣿⣿⣷⣶⣚⣿⣟⣖⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣖⣗⣷⣿⣿⣻⣿⣿⣻⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⢿⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣷⣟⣿⣗⣿⣻⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿ ⢸⣿⡟⣿⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⡻⠽⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠋⠀⠻⠿⠿⡿⠿⡿⢿⢿⣿⠽⢯⠋⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠈⠀⠀⠀⠀⠀⢼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣭⣿⣯⣽⣭⣽⣯⣿⣿⣿⡿⣿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⡶⠷⠾⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ䷩ 𝚕𝚒𝚗𝚎 1824 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2023/12/08/Wikipedia_is_Vandalism_Brought_to_You_by_Microsoft_and_Bill_Gat.shtml Gemini version at gemini://gemini.techrights.org/n/2023/12/08/Wikipedia_is_Vandalism_Brought_to_You_by_Microsoft_and_Bill_Gat.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Wikipedia is Vandalism, Brought to You by Microsoft and Bill Gates⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Dec 08, 2023 Reprinted with permission from Ryan_Farmer. According to Wikipedia, the United Kingdom Fought on the Side of Manuel Noriega and the Nazis Assisted the United States. Corporate Vandalism is More Serious. I went to read the article on the US invasion of Panama to remove Manuel Noriega, and found this: 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Wikipedia vandalism⦈ Of course, you can probably see what the problems are. For starters, the Canadians and British were supposedly at war with the United States, taking the side of Panamanian dictator Noriega, and the United States was assisted by Nazi Germany and Fascist Italy, which ceased to exist at the end of World War II, over 40 years prior to the intervention in Panama. The correct version is this: 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Wikipedia vandalism undone⦈ I always correct Wikipedia vandalism when I see it and request article protection of some kind when it’s getting out of control. The unfortunate thing is, that anyone who links to an article gets the article, in a vandalized state. Sometimes the vandalism is stupid or obvious like a bunch of random letters or saying that the Axis from World War II was involved in a military intervention of the late 1980s, and sometimes it’s a corporate PR firm from the oil and tobacco companies, Walmart, Microsoft, etc. Many corporate trolls pay a lot of money to make sure that their vandalism of Wikipedia “sticks”. They have PR firms that provide “editors” who rack up a lot of edits and win “elections” to watch over Wikipedia as a whole, and then as a backstop, they_make_sure_that_the_foundation_behind_Wikipedia_is_subservient_to the_moneyed_interests. 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Microsoft and Wikipedia⦈ 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Bill Gates and Wikipedia⦈ After George W. Bush started defunding the Corporation for Public Broadcasting in the 2000s, I started seeing ads for BP and Walmart, now there are ads everywhere. They say that these “don’t affect their content”, but with government funding being “only 1.6% of the budget”, who affects the content? The people paying for the lights to be kept on. You don’t shit on who is paying the bills. “This guy gets whatever he wants.” The Wikipedia “project” is as much of a charity as NPR was after BP’s Deepwater Horizon disaster. They needed PR and they needed it fast, after dumping 134 million gallons of crude oil into the Gulf of Mexico. Then spraying it with toxic “dispersants” which caused it to fall to the sea floor and cause a disaster where the news cameras couldn’t see it. Where did they go? Why, NPR and PBS of course. Then there were “documentaries” about BP washing oil off of birds. Where did the oil come from? Don’t let your tiny little smooth brain worry about that, my friend. With Microsoft, Bill Gates, and Wikipedia, it’s the same song and dance. █ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿ ⣿⣿⡿⢻⡏⠉⠉⢹⡟⡛⡿⠿⠿⢿⠿⠿⠿⠿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠻⠿⠿⠿⣿⢻⡟⠿⠿⢻⠻⠿⢿⠿⢻⡟⣛⠻⡿⢿⠻⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡏⠉⠉⢱⡖⣲⣾⣇⣶⣏⣃⣸⣨⣙⣀⣏⣸⣈⣃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠈⠉⠉⠉⣿⣜⣣⣻⣇⣸⣘⣜⣢⣛⣸⣟⣢⣜⣙⣸⣘⣜⣒⣊⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠛⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠒⠛⣤⢤⣤⣿⢨⣼⠲⠁⡆⡗⠎⢰⢰⠸⠲⠰⣴⠁⡓⠎⢰⡎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢫⡹⢩⢻⢩⠛⣭⢋⠽⢨⢩⠘⣭⠋⡍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣰⣾⣰⣾⣶⣷⣶⣾⣾⣾⣶⣷⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⣿ 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⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣾⣶⣶⣵⣶⣶⣶⣧⣷⣷⣶⣷⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⠿⣿⢿⠿⠿⢿⣿⠿⢿⢿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⠿⠿⢿⢿⠿⠿⢿⢿⠿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣯⣤⣬⣴⣤⣧⣶⣶⣴⣼⣥⣯⣾⣶⣴⣾⣾⣴⣭⣵⣵⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣤⣤⣯⣼⣴⣼⣥⣠⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⡿⢿⢿⠿⠿⣿⣿⢿⣿⠿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣧⣥⣤⣤⣦⣤⣼⣴⣴⣦⣤⣯⣴⣬⣴⣦⣷⣾⣬⣥⣥⣮⣼⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣛⣛⣛⣛⣻⣛⣟⣛⢻⣟⣻⣛⣛⣛⣟⣛⣛⣻⣛⣛⣛⣛⣻⣛⣛⢛⣛⣻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣷⣤⣤⣴⣼⣤⣶⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠛⠻⠿⠿⢻⠛⡿⣿⡟⠿⡟⠻⠿⠻⠿⠿⠿⠿⢿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⣶⣾⣾⣶⣿⣷⣷⣷⣶⣶⣶⣶⣷⣶⣶⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣤⣴⣵⣵⣮⣤⣤⣤⣴⣼⣭⣴⣴⣵⣴⣼⣼⣜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⣿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⢽⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣟⣿⣿⣿⣿⣿⣿⢿⣿⢻⣿⡿⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣾⣿⣷⣿⣿⣿⣿⣿⣾⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣟⣟⣟⣟⣟⣟⣻⣿⡿⣻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣷⣾⣿⣿⣿⣽⣽⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 2041 ╒═══════════════════ 𝐃𝐀𝐈𝐋𝐘 𝐋𝐈𝐍𝐊𝐒 ═════════════════════════════════════════════╕ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 08/12/2023: Cyber Resilience Act in EU and Denmark Embracing 'Blasphemy Law'⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Dec 08, 2023 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈ § Contents⠀➾ * Leftovers o Science o Health/Nutrition/Agriculture o Proprietary/Artificial_Intelligence_(AI) o Security # Privacy/Surveillance o Defence/Aggression o Environment # Energy/Transportation # Wildlife/Nature # Overpopulation o AstroTurf/Lobbying/Politics o Censorship/Free_Speech o Freedom_of_Information_/_Freedom_of_the_Press o Civil_Rights/Policing o Digital_Restrictions_(DRM) o Monopolies/Monopsonies # Copyrights * § Leftovers⠀➾ o ⚓ James G ☛ Advent_of_Technical_Writing:_Lists⠀⇛ When I edit technical content, I often see two extremes when it comes to lists: not using them at all, even when lists are an appropriate way to convey information given the piece, and using them too much. The crux of finding a balance is knowing when to use lists. Therein lies a question: when are lists useful? I want to talk about lists in the context of ordered or unordered and unordered lists. Ordered lists, which start with numbers, should be used to convey sequential information (i.e. actions to take in a product). Unordered lists, which start with bullet points, can convey any related points o ⚓ Manuel Moreale ☛ The_personality_of_a_personal_website⠀⇛ These are all very interesting questions but for me, the more pressing question is a slightly different one: which you is your personal site representing? We often don’t pay too much attention to this but we all have different ways of being ourselves. o § Science⠀➾ # ⚓ Futurism ☛ Space_Station_Astronauts_Find_Desiccated_Tomato After_Blaming_Colleague_for_Its_Theft⠀⇛ In late March, astronauts were each given a share of the harvest tucked inside Ziploc bags. Rubio says his share, however, floated away before he could eat the fruits of his labor. "I spent so many hours looking for that thing," Rubio said during a September livestream. "I'm sure the desiccated tomato will show up at some point and vindicate me, years in the future." # ⚓ Space ☛ ISS_astronauts_find_tomato_that_was_lost_in_space for_8_months_(video)⠀⇛ The minor incident turned into a large inside joke for Rubio in the fall. The 1-inch-wide (2.5 centimeters) Red Robin dwarf tomato was a part of the final harvest for the Veg-05 experiment that Rubio himself had tended through some growing pains. o § Health/Nutrition/Agriculture⠀➾ # ⚓ Patrick Breyer ☛ European_Health_Data_Space:_Lawmakers_want to_stop_the_obligation_for_everyone_to_have_a_remotely accessible_electronic_patient_file⠀⇛ The EU’s Health Data Space bill is intended to oblige doctors to enter a summary of each patient’s treatment into an interconnected system (Article 7). Exceptions or a right to object are not provided even for particularly sensitive diseases and therapies such as mental disorders, sexual diseases and disorders such as impotence or infertility, HIV or addiction therapies. Patients whould only be able to object to access to their electronic patient file by other healthcare providers or industry. How this right could be exercised would be up to every Member State. According to a survey by the European Consumer Organisation BEUC, 44% of citizens are concerned about the risk of theft of their health data; 40% of citizens fear unauthorised data access. Next Tuesday, the plenary of the European Parliament is to vote on final amendments to their negotiating mandate. The first round of negotiations between the EU Council, EU Parliament and EU Commission is due to take place as early as next Thursday. The rapporteurs want to finalise the negotiations before the 2024 European elections. # ⚓ Axios ☛ U.S._Border_Patrol_is_using_AI_to_crack_down_on fentanyl_trafficking⠀⇛ Why it matters: More than 70,000 Americans died of synthetic opioid overdoses in 2021, according to the National Institute on Drug Abuse. # ⚓ Austin Gil ☛ On_Work-Life_Balance⠀⇛ At first, I thought it was just lucky timing and somehow the stars aligned around my interests, birthdays, and parties, but that’s reductive. It wasn’t about luck. At least, not entirely… # ⚓ Gizmodo ☛ Woman_Enters_MRI_Machine_With_a_Gun,_Gets_Shot_in Butt⠀⇛ The report was first filed in July by the woman’s healthcare provider to the FDA’s Manufacturer and User Facility Device Experience (MAUDE) database—a voluntary reporting system for adverse events tied to medical devices. But the incident appears to have first been publicly unearthed last week by The Messenger. # ⚓ Common Dreams ☛ Amnesty_International_USA_Reaction_to Senate_Blocking_Passage_of_Assault_Weapons_Ban⠀⇛ “As we are witness to yet another community reeling from a senseless act of gun violence, it’s shameful that a sensible path forward has been blocked in favor of more thoughts and prayers. Amnesty International USA will continue to push for these important changes to gun safety laws until they are the law of the land.” o § Proprietary/Artificial Intelligence (AI)⠀➾ # ⚓ Teleport ☛ Connect_Using_EC2_Instance_Connect_via Teleport⠀⇛ Accessing EC2 Instances is done using SSH, which typically involves generating and managing SSH Keys. This is not easy when you have a large fleet/ team. # ⚓ India Times ☛ Explained:_what_are_the_EU's_landmark_AI rules?⠀⇛ Ahead of the meeting, lawmakers and governments could not agree on key issues, including the regulation of fast-growing generative AI and its use by law enforcement. The main issue is that the first draft of the law was written in early 2021, almost two years before the launch of OpenAI's ChatGPT, one of the fastest- growing software applications in history. # ⚓ Tim Kellogg ☛ LLMs:_Fake_it_till_you_make_it⠀⇛ How does the current generation of AI work? Think of the phrase “fake it till you make it”, and then take it all the way to the extreme, that’s close enough to what’s going on to get a feel for it. This post started with a chat with my family. I expanded on it and added a (overly?) positive take on where AI may take us. Don’t expect technical details here. # ⚓ Antipope ☛ Made_of_lies_(and_more_lies)⠀⇛ Why you shouldn't trust AI (large language models): a cautionary example. So, Google Bard is the big G's "AI" assisted internet search tool. I'd heard ungood things about Bard's tendency to Make Shit Up, so I decided to test it for myself, on a topic I'm an authority on: me. o § Security⠀➾ # § Privacy/Surveillance⠀➾ # ⚓ EFF ☛ Think_Twice_Before_Giving_Surveillance_for_the Holidays⠀⇛ A number of these gifts raise red flags for us as privacy-conscious digital advocates. Ring cameras are one of the most obvious examples, but countless others over the years have made the security or privacy naughty list (and many of these same electronics directly clash with your right to repair). One big problem with giving these sorts of gifts is that you're opting another person into a company's intrusive surveillance practice, likely without their full knowledge of what they're really signing up for. For example, a smart speaker might seem like a fun stocking stuffer. But unless the giftee is tapped deeply into tech news, they likely don't know there's a chance for human review of any recordings. They also may not be aware that some of these speakers collect an enormous amount of data about how you use it, typically for advertising–though any connected device might have surprising uses to law enforcement, too. # ⚓ Patrick Breyer ☛ EU_Digital_Identity_Regulation_ (eIDAS):_Pirates_don’t_support_blank_cheque_for surveillance_of_citizens_online!⠀⇛ The EU Parliament’s Industry Committee today approved a new EU regulation on digital identity (eIDAS 2) against the votes of the Pirates and their group. According to the law, a new digital identity app will enable EU citizens to access public and private digital services such as Facebook or Google and to pay online. The deal was approved despite IT security experts and scientists publicly warning against mass surveillance and recently countering disinformation by the EU. # ⚓ Patrick Breyer ☛ Secure_encryption_and_end_of voluntary_chat_control_on_Facebook_and_Instagram protect_innocent_users_and_support_law_enforcement!⠀⇛ Voluntary mass surveillance of our private communications makes no significant contribution to saving abused children or to convicting abusers, but criminalises thousands of minors, overburdens law enforcement and opens the door to arbitrary private justice by big tech industry. Voluntary chat control could never contain the amount of suspected CSAM on Zuckerberg’s platforms. Relieving the police of the flood of largely false reports frees up law enforcement capacity for targeted and undercover investigations into organised child sexual abuse, thereby really protecting children. Even without chat control mass surveillance, user reports and reports resulting of the automated scanning of public posts on Facebook and Instagram will continue to be made. # ⚓ The Washington Post ☛ Federal_government_is_using data_from_push_notifications_to_track_contacts⠀⇛ Government investigators in the United States have used push notification data to pursue people of interest, Sen. Ron Wyden (D-Ore.) said in a letter Wednesday to the Justice Department, revealing for the first time a way in which Americans can be tracked through a basic service provided by their smartphones. # ⚓ US Senate ☛ Letter_from_US_Sentaor_Wyden_on Surveillance_via_Smartphone_Push_Notification [PDF]⠀⇛ Apple and Google should be permitted to be transparent about the legal demands they receive, particularly from foreign governments, just as the companies regularly notify users about other types of government demands for data. These companies should be permitted to generally reveal whether they have been compelled to facilitate this surveillance practice, to publish aggregate statistics about the number of demands they receive, and unless temporarily gagged by a court, to notify specific customers about demands for their data. I would ask that the DOJ repeal or modify any policies that impede this transparency. # ⚓ Bruce Schneier ☛ Spying_through_Push_Notifications⠀⇛ When you get a push notification on your Apple or Google phone, those notifications go through Apple and Google servers. Which means that those companies can spy on them—either for their own reasons or in response to government demands. # ⚓ Reuters ☛ Governments_spying_on_Apple,_Google_users through_push_notifications_-_US_senator⠀⇛ Apps of all kinds rely on push notifications to alert smartphone users to incoming messages, breaking news, and other updates. These are the audible "dings" or visual indicators users get when they receive an email or their sports team wins a game. What users often do not realize is that almost all such notifications travel over Google and Apple's servers. That gives the two companies unique insight into the traffic flowing from those apps to their users, and in turn puts them "in a unique position to facilitate government surveillance of how users are using particular apps," Wyden said. He asked the Department of Justice to "repeal or modify any policies" that hindered public discussions of push notification spying. In a statement, Apple said that Wyden's letter gave them the opening they needed to share more details with the public about how governments monitored push notifications. # ⚓ NYOB ☛ CJEU_landmark_rulings_on_“credit_ranking”_and review_of_DPAs⠀⇛ The European Court of Justice (CJEU) today issued two landmark judgments in proceedings against the German credit reference agency SCHUFA, which previously enjoyed considerable freedom in Germany. The CJEU confirmed that national courts have extensive powers to scrutinize data protection authorities – thereby strengthening the rights of data subjects. Furthermore, the court ruled that the assignment of automatically calculated credit scores is not in line with the GDPR. o § Defence/Aggression⠀➾ # ⚓ Omicron Limited ☛ Climate_tipping_points_are_nearer_than you_think._Our_new_report_warns_of_catastrophic_risk⠀⇛ Six of these are in the icebound parts of the planet (the "cryosphere"), including the collapse of massive ice sheets in Greenland and different parts of Antarctica, as well as localized tipping in glaciers and thawing permafrost. Sixteen are in the "biosphere"—the sum of all the world's ecosystems—including trees dying on a massive scale in parts of the Amazon and northern boreal forests, degradation of savannas and drylands, nutrient overloading of lakes, coral reef mass mortality, and many mangroves and seagrass meadows dying off. Finally, we identified four potential tipping points in the circulation of the oceans and atmosphere, including collapse of deep ocean mixing in the North Atlantic and in the Southern Ocean around Antarctica, and disruption of the West African monsoon. # ⚓ University of Exceter ☛ Global_Tipping_Points⠀⇛ Global Tipping Points is led by Professor Tim Lenton from the University of Exeter’s Global Systems Institute with the support of more than 200 researchers from over 90 organisations in 26 countries. The Global Tipping Points Report was launched at COP28 on 6 December 2023. The report is an authoritative assessment of the risks and opportunities of both negative and positive tipping points in the Earth system and society. # ⚓ Science Alert ☛ Earth_on_Brink_of_Five_Catastrophic_Climate Tipping_Points,_Report_Warns⠀⇛ The climate system has many potential tipping points, such as ice sheets disappearing or dense rainforests becoming significantly drier and more open. It would be very difficult, effectively impossible, to recover these systems once they go beyond a tipping point. # ⚓ India Times ☛ US_Congress_will_not_take_up_TikTok legislation_before_end_of_year:_senator⠀⇛ Concerns about Chinese-owned TikTok sparked efforts for months in Congress to boost powers to address it or potentially ban the popular short video sharing app, but those bills have stalled in Congress. TikTok, which has more than 150 million U.S. users, denies it improperly uses U.S. data. # ⚓ Vice Media Group ☛ The_Fentanylware_(TikTok)_Panic_Reached a_New_Level_of_Stupidity_at_Last_Night's_GOP_Debate [Ed: The Fentanylware (TikTok) "Panic" is realisation os what TikTok actually is and who controls it]⠀⇛ In the fourth Republican debate, Nikki Haley said every 30 minutes spent watching Fentanylware (TikTok) makes people "17% more antisemitic." # § Russia, Belarus, and War in Ukraine⠀➾ # ⚓ Atlantic Council ☛ While_the_West_dithers,_the_future of_the_world_is_being_decided_in_Ukraine⠀⇛ As Russia’s invasion approaches the two-year mark, the picture is now far more complex and significantly darker. Western unity is increasingly in question, with US support for Ukraine becoming hostage to political infighting and pro-Kremlin forces winning national elections in the EU. Meanwhile, pledges of new aid from Ukraine’s partners have fallen to their lowest level since the start of the war. This is fueling a growing sense of jubilation in Moscow, where many believe recent developments vindicate earlier Russian predictions that any Western resolve to oppose the Kremlin would prove short- lived. Unsurprisingly, Putin is now more confident than ever that he can outlast the West in Ukraine. Despite suffering catastrophic battlefield losses, he remains determined to press ahead with the invasion, and is actively preparing Russia for the rigors of a long war. Russia’s goal remains the “denazification” of Ukraine, meaning the eradication of Ukrainian national identity and the return of the country to Kremlin control, either via direct annexation or through the installation of a puppet regime in Kyiv. # ⚓ RFERL ☛ U.K.,_U.S._Sanction_Two_Russians_Accused_Of Cyber_Spying_On_British_Politicians,_Journalists⠀⇛ The U.K. Foreign Office said in a statement on December 7 that the cyber-spying was conducted by Star Blizzard, also known as the Callisto Group, an entity that Britain's cybersecurity center has established with quasi-total certainty is run by Center 18 - - an FSB unit identified as being behind a series of cyber-espionage operations targeting Britain. # ⚓ Deutsche Welle ☛ UK_accuses_Russia_of_yearslong cyberespionage_campaign⠀⇛ According to the Foreign Office, two Russian agents have been sanctioned for their alleged involvement in preparing so-called spear- phishing campaigns and "activity intended to undermine the UK." # ⚓ RFERL ☛ With_Wagner_In_Disarray,_A_Russian_Diplomat With_Spy_Links_Surfaces_In_The_Central_African Republic⠀⇛ Multiple sources in CAR say the task of liaising between Wagner mercenaries and local police has fallen to Pavlov, while photographic evidence independently corroborates the diplomat's presence together with Russian military brass in the African nation, the joint investigation by RFE/RL's Russian Service and All Eyes On Wagner (AEOW), a Swiss investigative NGO, found. o § Environment⠀➾ # § Energy/Transportation⠀➾ # ⚓ Interesting Engineering ☛ Tesla_shocks_the_world_by sharing_its_48-volt_technology_—_for_free⠀⇛ This is a game-changer for the EV world. No more playing catch-up in the dark – Tesla just handed everyone a cheat sheet to the next level of electric mobility. # ⚓ Interesting Engineering ☛ Two_high-speed_US_rail projects_bag_$6_billion_in_government_funding⠀⇛ Two high-speed rail projects connecting a few of the busiest cities in the US are to get $6.1 billion in government funding. The Brightline West high-speed rail system connecting Los Angeles and Las Vegas and # ⚓ Reuters ☛ US_to_award_$6.1_billion_to_Las_Vegas, California_high-speed_rail_projects⠀⇛ The U.S. Transportation Department is awarding $3 billion for a $12 billion Las Vegas to Southern California high-speed rail project and $3.07 billion to connect San Francisco to Los Angeles. The Las Vegas to Los Angeles project aims to finish before the 2028 Los Angeles Olympics, while the California high-speed rail authority program aims to ultimately move travelers from San Francisco to the Los Angeles basin at speeds above 200 miles per hour in under three hours, with initial service starting as early as 2030. # ⚓ Democracy Now ☛ “Green_Colonialism”:_Nigerian_Climate Activist_Nnimmo_Bassey_Says_Africa_Is_Being_Sold_Out_at COP28⠀⇛ Longtime Nigerian activist and poet Nnimmo Bassey joins us at COP28 in Dubai to discuss how “false climate solutions” like carbon trading markets are hurting efforts to reduce emissions and prevent catastrophic global heating. “People are making deals rather than talking about how to cut emissions at source,” says Bassey. “We’re seeing a sellout of the African continent.” Bassey is director of the Health of Mother Earth Foundation and received the Right Livelihood Award in 2010 for his environmental activism. # ⚓ Democracy Now ☛ “Cabal_of_Oil_Producers”:_Climate Scientist_Kevin_Anderson_Slams_Corporate_Capture_of COP28 [Ed: COP28 is like 'Linux' Foundation: GPL- and Linux-hostile corporations trying to lead the way 'for us']⠀⇛ As we broadcast from COP28 in Dubai, leading climate scientist Kevin Anderson lays out why he dismisses the annual climate talks as “grand events” that do little to actually curb emissions. “These COPs have become little more than a scam under which the oil companies and the other fossil fuel companies are hiding that nothing is being done,” says Anderson. Decades of inaction make solving the climate crisis much harder, and Anderson notes “technology and fairness have to go hand in hand” in order to save the planet. # § Wildlife/Nature⠀➾ # ⚓ Vice Media Group ☛ Scientists_Have_Reported_a Breakthrough_In_Understanding_Whale_Language⠀⇛ Sperm whales are giants of the deep, with healthy adults having no known predators. Scientists studying their vocalizations have already picked out key elements of their communication, namely clicks, sequences of which are called codas. Now, researchers led by Gašper Beuš from the University of California, Berkeley report the discovery that the acoustic properties of these clicks—for example, pitch—are “on many levels analogous to human vowels and dipthongs,” which is when one vowel sound morphs into another such as in the word “coin.” The researchers even identify two unique “coda vowels” that are “actively exchanged” in conversation between whales, which they term the a-vowel and i-vowel. # § Overpopulation⠀➾ # ⚓ El País ☛ UN_says_Africa_faces_unprecedented_food crisis,_with_3_in_4_people_unable_to_afford_a_healthy diet⠀⇛ It warned that “millions are expected to be at risk of worsening hunger in the near future.” With a young population set to double by 2050, Africa is the only rapidly growing region where people are getting poorer, and some are beginning to celebrate coups by soldiers who promise a better life. Despite its wealth of natural resources, Africa is far from meeting its commitment to end hunger and all forms of malnutrition by 2025. # ⚓ NBC ☛ California_officials_warn_of_possible_low_water supplies⠀⇛ Water agencies heard from the state that they are currently being allocated 10-15% of their expected needed water supplies for 2024. o § AstroTurf/Lobbying/Politics⠀➾ # ⚓ Scoop News Group ☛ Only_3_agencies_have_hit_deadline_for cyber_event_logging_standards,_GAO_finds⠀⇛ Just three of the 23 civilian Chief Financial Officer Act agencies have met the cyber event logging standards called out in President Joe Biden’s 2021 cybersecurity executive order and a subsequent Office of Management and Budget memo, a new Government Accountability Office report found. # ⚓ USGAO ☛ Cybersecurity:_Federal_Agencies_Made_Progress,_but Need_to_Fully_Implement_Incident_Response_Requirements[PDF]⠀⇛ Federal agencies rely upon the following for cybersecurity incident response: • tools, such as endpoint detection and response solutions; • services, such as threat hunting or cyber threat intelligence provided by the Cybersecurity and Infrastructure Security Agency (CISA) and third party firms; and • resources, such as skilled staff and funding. # ⚓ Law Society of Ireland ☛ EU_deal_on_new_cyber-resilience rules⠀⇛ “Parliament has protected supply chains, ensuring that key products, such as routers and anti- viruses, are identified as a priority for cyber- security,” said the lead MEP on the issue Nicola Danti (pictured). “We have ensured support for micro and small enterprises and better involvement of stakeholders, and addressed the concerns of the open-source community, while keeping an ambitious European dimension,” she added. The agreement reached is now subject to formal approval by both the European Parliament and the EU Council. # ⚓ [Old] European Commission ☛ EU_Cyber_Resilience_Act⠀⇛ The Cyber Resilience Act (CRA) aims to safeguard consumers and businesses buying or using products or software with a digital component. The Act would see inadequate security features become a thing of the past with the introduction of mandatory cybersecurity requirements for manufacturers and retailers of such products, with this protection extending throughout the product lifecycle. The problem addressed by the Regulation is two- fold. First is the inadequate level of cybersecurity inherent in many products, or inadequate security updates to such products and software. Second is the inability of consumers and businesses to currently determine which products are cybersecure, or to set them up in a way that ensures their cybersecurity is protected. # ⚓ Dolphin Publications B V ☛ Cyber_Resilience_Act: manufacturers_responsible_for_open-source_code⠀⇛ The content is also reassuring for the open-source community. Europe will hold manufacturers responsible for making products more secure. If this manufacturer starts working with open-source code in a product, this code becomes part of the product for which the manufacturer is responsible. This is made clear through an important specification about who must comply with the law. Any development that takes place outside the goal of commercialization will now be allowed to ignore the rules. Open-source developers often cannot respond as quickly to a security incident as a company acting from commercial interests. Manufacturers may, therefore, continue to shop the open-source community for software. This is common, by the way: “Open-source software represents more than 70 percent of the software present in products with digital elements in Europe.” This statement comes from an open letter that several open-source organizations sent to the Commission earlier this year to express their concerns. But where manufacturers could previously choose to adopt the code in its entirety, security controls will now be required. # ⚓ Euractive ☛ EU_institutions_finalise_agreement_on cybersecurity_law_for_connected_product⠀⇛ As Euractiv anticipated, the agreement was largely pre-cooked at the technical level, with many aspects of the proposal being endorsed during the political meeting. However, EU negotiators settled the last political hurdles after some intense discussions. [...] Another negotiation point is dealing with open- source software integrated into commercial products. Here, an agreement was reached at the technical level and endorsed at the political level. As Euractiv previously reported, the idea was to cover only software developed in the context of commercial activities and to have more limited rules for open-source software stewards regarding documentation and vulnerability handling. In the final iteration of the text, seen by Euractiv, non-profit organisations that sell open source software on the market but reinvest all the revenues in non-for-profit activities were also excluded from the scope. # ⚓ [Old] Euractive ☛ EU_policymakers_prepare_to_close_on cybersecurity_law_for_connected_device⠀⇛ How to include open-source software has been largely agreed upon at the technical level. As Euractiv previously reported, EU policymakers introduced the figure of open-source software stewards subject to documentation and vulnerability handling. # ⚓ [Old] Euractive ☛ EU_policymakers’_advance_on_open_source software,_support_period_in_new_cybersecurity_law⠀⇛ These two factors are essential in determining to what extent the open source software can comply with the requirements of the upcoming cybersecurity law. That is why EU policymakers have conceived a tiered approach with proportionate obligations. # ⚓ European Parliament ☛ Cyber_Resilience_Act:_agreement_with Council_to_boost_digital_products’_security⠀⇛ The agreed text will now have to be formally adopted by both Parliament and Council in order to come into law. The Industry, Research and Energy Committee will hold a vote on the file in a forthcoming meeting. # ⚓ [Old] European Commission ☛ Cyber_Resilience_Act⠀⇛ Four specific objectives were set out: 1. ensure that manufacturers improve the security of products with digital elements since the design and development phase and throughout the whole life cycle; 2. ensure a coherent cybersecurity framework, facilitating compliance for hardware and software producers; 3. enhance the transparency of security properties of products with digital elements, and 4. enable businesses and consumers to use products with digital elements securely. # ⚓ [Old] EU ☛ Proposal_for_a_REGULATION_OF_THE_EUROPEAN PARLIAMENT_AND_OF_THE_COUNCIL_on_horizontal_cybersecurity requirements_for_products_with_digital_elements_and_amending Regulation_(EU)_2019/1020⠀⇛ 7. Manufacturers shall, upon identifying a vulnerability in a component, including in an open source component, which is integrated in the product with digital elements, report the vulnerability to the person or entity maintaining the component. # ⚓ India Times ☛ EU's_AI_Act_could_exclude_open-source_models from_regulation⠀⇛ According to the document, which circulated among lawmakers on Thursday morning, the AI Act would not apply to free and open-source licences unless, for example, they are deemed high-risk or being used for already banned purposes. # ⚓ Quartz ☛ Apple_plans_to_move_iPhone_16_battery_production out_of_China_and_into_India⠀⇛ Apple is encouraging suppliers to move toward India-made iPhone batteries for the upcoming iPhone 16 line as part of its broader effort to diversify supply chain, the Financial Times reported on Dec. 6, citing anonymous sources. The tech giant has reportedly given the mandate to Shenzhen-based Desay and Taiwanese battery supplier Simplo Technology. # ⚓ Futurism ☛ Ex-OpenAI_Board_Member_Refuses_to_Say_Why_She Fired_Sam_Altman⠀⇛ As the New York Times reported in the midst of the Thanksgiving hubbub, Toner and Altman butted heads the month prior because she published a paper critical of the firm's safety protocols (or lack thereof) and laudatory of those undertaken by Anthropic, which was created by former OpenAI employees who left over similar concerns. # ⚓ International Business Times ☛ Former_OpenAI_Director_Says He_Is_Still_Unsure_Why_The_Board_Fired_Sam_Altman⠀⇛ Still, details about what led to the initial chaos are few and far between. According to a Bloomberg report, Altman had been trying to raise funds for a new AI chip startup. # ⚓ Scoop News Group ☛ AI_executive_order_will_face_challenges with_talent_pipeline,_experts_say⠀⇛ The order also addresses new strategies for federal use of the technology, including the issuing of guidance for agency deployment, helping agencies access AI systems through more efficient and less expensive contracting, and hiring more AI professionals within the government. o § Censorship/Free Speech⠀➾ # ⚓ EFF ☛ In_Landmark_Battle_Over_Free_Speech,_EFF_Urges Supreme_Court_to_Strike_Down_Texas_and_Florida_Laws_that_Let States_Dictate_What_Speech_Social_Media_Sites_Must_Publish⠀⇛ # ⚓ France24 ☛ Iran_uses_rape,_torture_to_silence_detained Mahsa_Amini_protesters,_Amnesty_says⠀⇛ Iranian authorities have used rape and sexual assault to punish or silence those arrested during the 2022 Mahsa Amini protests, Amnesty International said in a report released on Wednesday. Amnesty documented 45 cases of sexual violence perpetrated against men, women and children who were detained and says the actual number of victims may be much higher. # ⚓ Amnesty International ☛ Sexual_Violence_Weaponized [PDF]⠀⇛ Iranian intelligence and security forces committed horrific acts of rape, gang rape, and other forms of sexual violence, which amount to torture and other ill-treatment, against women, men and children as young as 12 who were arbitrarily detained in connection with the nationwide protests that took place during the “Woman Life Freedom” uprising of September-December 2022, following the death in custody of Mahsa/Zhina Amini. Sexual violence was used by state agents with total impunity as a weapon of torture to crush protesters’ spirit, self-esteem and sense of dignity, to deter further protests, and to punish them for challenging the political and security establishment and its entrenched system of gender- based discrimination, as enforced through draconian legislation including abusive compulsory veiling laws. # ⚓ VOA News ☛ Denmark_Passes_Bill_to_Stop_Quran_Burnings⠀⇛ Denmark sought to strike a balance between constitutionally protected freedom of speech, including the right to criticize religion, and national security amid fears that Quran burnings would trigger attacks by Islamists. Domestic critics in Sweden and Denmark have argued that any limitations on criticizing religion, including by burning Quran, undermine hard-fought liberal freedoms in the region. # ⚓ New York Times ☛ Denmark,_Fearing_Reprisals,_Bans_Quran Burning⠀⇛ Under a new law passed by Parliament, those found guilty of the crime can be fined or sentenced to up to two years in prison. “Quran burnings must be stopped,” Justice Minister Peter Hummelgaard, who presented the law, said on Instagram on Thursday. “We must protect the security of Denmark and the Danes.” # ⚓ Deutsche Welle ☛ Denmark_parliament_adopts_bill_prohibiting Quran_burnings⠀⇛ Burning, tearing, or defiling religious texts in public could land people with a fine or up to two years behind bars. Destroying a holy text on video and disseminating the footage online could also put offenders in jail. The Danish Justice Ministry has said the law aims to combat the "systematic mockery" that raises terror threat levels in Denmark. # ⚓ France24 ☛ Denmark_adopts_law_banning_burning_of_Koran_and other_holy_texts⠀⇛ The bill, which prohibits "inappropriate treatment of writings with significant religious importance for a recognised religious community", was passed with 94 votes in favour and 77 opposed in the 179- seat Folketing. # ⚓ JURIST ☛ Denmark_Parliament_passes_law_criminalizing burning_of_Quran⠀⇛ Criticism of the new law was shared across the political aisle, with several left-wing lawmakers voicing their dissent. Karina Lorentzen, of the Socialist People’s Party said, “Does Iran change its legislation because Denmark feels offended by something an Iranian would do? Does Pakistan? Does Saudi Arabia?… the answer is no.” # ⚓ Reuters ☛ Denmark_passes_law_to_ban_Koran_burnings⠀⇛ Denmark and Sweden experienced a series of public protests this year where anti-Islam activists burned or otherwise damaged copies of the Koran, triggering demands that the Nordic governments ban the practice. According to Justice Minister Peter Hummelgaard, more than 500 demonstrations that included burnings of the Koran or flags were registered since July. # ⚓ Reason ☛ Denmark_Bans_Desecrating_Copies_of_Holy_Books⠀⇛ "History will judge us harshly for this and with good reason," Inger Stojberg of the right-wing anti-immigration Denmark Democrats party said in response to the bill's passage. "What it all comes down to is whether a restriction on freedom of speech is determined by us, or whether it is dictated from the outside." … "Does Iran change its legislation because Denmark feels offended by something an Iranian would do? Does Pakistan? Does Saudi Arabia?" Karina Lorentzen of the leftist Socialist People's Party said. "The answer is no." … # ⚓ Hong Kong Free Press ☛ Hong_Kong_Tiananmen_vigil_activists appealing_judgement_in_nat._security_case_to_hear_verdict within_3_months⠀⇛ Founded in 1989, the Alliance organised yearly mass vigils in the city to mark the anniversary of the Tiananmen crackdown in Beijing that year. Members of the Alliance were arrested in September 2021 after refusing to comply with the demand from national security police for information. It disbanded later that month, joining dozens of other civil society groups that have been forced to shut in the wake of the national security law imposed in June 2020. # ⚓ Hong Kong Free Press ☛ Organisers_of_Hong_Kong’s_Tiananmen vigils_appeal_conviction,_sentencing_over_national_security data_request⠀⇛ The three activists were found guilty in March of failing to comply with a notice issued by national security police in August 2021 demanding information, including personal information about standing committee members and staff. They were jailed for four and a half months each. # ⚓ RFERL ☛ At_Least_One_Arrest_Made_At_Memorial_For_Iranian Teen_Who_Died_After_Alleged_Incident_With_Morality_Police⠀⇛ At least one person was arrested amid a heavy police presence at a traditional memorial marking the 40th day since the death of Iranian teen Armita Garavand, according to human rights activists. # ⚓ RFERL ☛ Uzbek_Blogger_Released_After_Prison_Term_Replaced With_Parole-Like_Sentence⠀⇛ Uzbek blogger Fozilxoja Orifxojaev, who was sentenced to 7 1/2 years in prison in January 2022 over a post on Facebook, was released from prison after his sentence was replaced with a parole-like sentence, relatives said on December 6. [...] o § Freedom of Information / Freedom of the Press⠀➾ # ⚓ CPJ ☛ Iranian_journalist_Soltan-Ali_Abedi_jailed_for_1_year for_corruption_reports⠀⇛ Abedi had been arrested and detained multiple times since 2021 after publishing critical reports about Sistan and Baluchestan province, addressing issues such as water shortages and the governor’s performance, according to the person familiar with the case. In 2021, he was threatened by city council officials and then beaten up by a group of unknown attackers after publishing a critical report about Zahedan’s city council, that person said. # ⚓ ANF News ☛ Journalist_Ahmed,_incommunicado_for_44_days⠀⇛ The news agency RojNews now said with certainty that Ehmed was abducted by forces of the KDP (Kurdistan Democratic Party). Silêman Ahmed has been working for the agency's Arabic-language editorial team for five years and disappeared after visiting his family in Aleppo, while he was at the Sêmalka-Pêşxabûr border crossing between the Autonomous Region of North and East Syria and the Kurdistan Region of Iraq (KRI). o § Civil Rights/Policing⠀➾ # ⚓ India Times ☛ Tesla_is_fighting_with_Sweden's_unions. Here's_what_to_know.⠀⇛ Unions say Tesla is flouting Sweden's tradition of collective agreements. About 90% of Swedish workers are covered by these agreements, which apply to nonunion employees and set work conditions across industries. They have a long history in Nordic countries and are widely seen as crucial to maintaining social cohesion and a high standard of living. The strikers and the unions taking up their cause "are fighting an incredibly important battle right now," Jan Villadsen, chair of the 3F Transport union representing the Danish dockworkers, said in a statement. "Even if you are one of the richest in the world, you can't just make your own rules," he said, referring to Musk. # ⚓ The Register UK ☛ Swedish_Tesla_strike_goes_international as_Norwegian_and_Danish_unions_join_in⠀⇛ 3F, which covers multiple industries in Denmark, has limited its sympathy strike to its Transportation arm, which union chair Jan Villadsen explained will mean transportation workers at docks, including drivers, won't unload or transport Tesla vehicles bound for Sweden. o § Digital Restrictions (DRM)⠀➾ # ⚓ Gizmodo ☛ Here's_Your_Free_Window_to_Watch_A_Charlie_Brown Christmas_on_Streaming⠀⇛ # ⚓ The Verge ☛ Spotify’s_CFO_is_out_days_after_mass_layoffs⠀⇛ Of all the layoffs happening at Spotify this week, this has to be the biggest. Chief financial officer Paul Vogel, who since 2020 has managed the company’s balance sheet as it expanded into podcasting and audiobooks, is leaving the company at the end of March 2024. # ⚓ Digital Music News ☛ Tidal_Lays_Off_10%_of_Staff_As_Owner Block_‘Right-Sizes’⠀⇛ Just days after Spotify CEO Daniel Ek announced plans to lay off around 1,500 employees, Jack Dorsey’s company Block — which owns Square, Cash App, and Tidal — has begun the first stage in a planned widespread staff reduction across its subsidiary companies that will continue into next year. As a result, approximately 40 staffers across multiple departments at Tidal, or 10% of the staff, have been laid off. § Monopolies/Monopsonies⠀➾ o ⚓ Bloomberg ☛ Apple_Set_to_Avoid_EU_Crackdown_Over_iMessage Service⠀⇛ Apple Inc.’s iMessage service looks set to win a carve out from new European Union antitrust rules to rein in Big Tech platforms after watchdogs tentatively concluded that it isn’t popular enough with business users to warrant being hit by the regulation. o ⚓ [Repeat] The Register UK ☛ AWS_accuses_Microsoft_of_clipping customers'_cloud_freedoms⠀⇛ AWS has publicly called out Microsoft's software licensing terms, claiming they "restrict choice" and make it "financially unviable" for customers to choose anyone other than Microsoft – something Google and other rivals have complained of. This was one among the many points addressed by Amazon in its submission [PDF] to Competition Markets Authority, the regulator charged with inspecting the health of the UK cloud sector with special attention to be given to egress fees; committed special discounts; interoperability; and cloud software policies. o § Copyrights⠀➾ # ⚓ [Repeat] Ruben Schade ☛ Generative_AIs_don’t_steal;_their operators_do⠀⇛ He’s more right than he thinks. The data is created by people, but it’s also classified by people for basically slave wages. AI—at least in popular usage—isn’t artificial or intelligent; though there’s certainly a lot of marketing trying to convince us otherwise. # ⚓ Techdirt ☛ Good_And_Bad_News_On_Attempts_To_Implicate_DNS Services_For_Copyright_Infringement_At_The_Domains_They Resolve⠀⇛ As to how these legal actions in Germany and Italy can be brought in countries where Quad9 has no corporate presence, the answer is something called the Lugano Convention. And to end on a more positive note, another major DNS service provider, Cloudflare, has also won a legal battle in Germany: [...] # ⚓ Digital Music News ☛ Who_Will_Own_Copyright_Tomorrow?_RIAA, A2IM,_Recording_Academy_Hit_Back_at_‘Falsehoods_Asserted_by AI_Companies’⠀⇛ In response to the United States Copyright Office as part of the ongoing discussion around and inquiry into “Artificial Intelligence and Copyright,” the American Association of Independent Music (A2IM), the Recording Academy, and the Recording Industry Association of America (RIAA) hit back at false “binary choice” and other unsubstantiated claims asserted by AI companies in recent filings. Together, the organizations asked the Copyright Office to reject “the false and dangerous dichotomy posed by some of the tech companies and their supporters (…) suggesting that humanity and, by extension, the Office and Congress, is faced with a binary choice to either reap all the benefits that AI promises or respect the long-established legal rights of human creators.” # ⚓ EFF ☛ EFF_Reminds_the_Supreme_Court_That_Copyright_Trolls Are_Still_a_Problem⠀⇛ On Monday, EFF continued the fight against copyright trolls by filing an amicus brief in Warner Chappell Music v. Nealy, a case pending in the U.S. Supreme Court. The case doesn’t deal with copyright trolls directly. Rather, it involves the interpretation of the statute of limitations in copyright cases. Statutes of limitations are laws that limit the time after an event within which legal proceedings may be initiated. The purpose is to encourage plaintiffs to file their claims promptly, and to avoid stale claims and unfairness to defendants when time has passed and evidence might be lost. For example, in California, the statute of limitations for a breach of contract claim is generally four years. U.S. copyright law contains a statute of limitations of three years “after the claim accrued.” Warner Chappell Music v. Nealy deals with the question of exactly what this means. Warner Chappell Music, the defendant in the case, argued that the claim accrued when the alleged infringement occurred, giving a plaintiff three years after that to recover damages. Plaintiff Nealy argued that his claim didn’t “accrue” until he discovered the alleged infringement, or reasonably should have discovered it. This “discovery rule” would permit Nealy to recover damages for acts that occurred long ago—much longer than three years—as long as he filed suit within three years of that “discovery.” # ⚓ Torrent Freak ☛ YouTube,_Facebook,_&_TikTok_Won't_Discuss Bad_Takedowns?_Get_Over_It,_They're_Busy⠀⇛ Over the years we've published many articles detailing abusive content removal demands and more generally the staggering volume of takedown notices received by the likes of Google and YouTube. A common complaint by users of these services is the difficulty in finding a real person to discuss their issues when things go wrong. That's something unlikely to change anytime soon because content is being taken down like never before. # ⚓ Torrent Freak ☛ Music_Rights_Group_Sues_Elon_Musk's_X_for Copyright_Infringement⠀⇛ Swiss music collective management outfit SUISA Digital has filed a lawsuit against X's parent company, Twitter International. Filed in Germany, the complaint accuses the platform of copyright infringement after X failed to license music shared by its users without permission. The music group hopes to recover damages in an amount that could run to millions of euros. =============================================================================== * Gemini_(Primer) links can be opened using Gemini_software. It's like the World Wide Web but a lot lighter. ䷩ 𝚕𝚒𝚗𝚎 3526 ╒═══════════════════ 𝐃𝐀𝐈𝐋𝐘 𝐋𝐈𝐍𝐊𝐒 ═════════════════════════════════════════════╕ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 08/12/2023: Tidal and Simplilearn Layoffs⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Dec 08, 2023 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈ § Contents⠀➾ * Leftovers o Science o Standards/Consortia o Hardware o Health/Nutrition/Agriculture o Proprietary/Artificial_Intelligence_(AI) o Security # Privacy/Surveillance o Defence/Aggression * Environment o Energy/Transportation * Finance * AstroTurf/Lobbying/Politics * Censorship/Free_Speech * Freedom_of_Information_/_Freedom_of_the_Press * Civil_Rights/Policing * Internet_Policy/Net_Neutrality * Digital_Restrictions_(DRM) * Monopolies/Monopsonies o Copyrights o Gemini*_and_Gopher # Personal/Opinions # Technology_and_Free_Software # Internet/Gemini * § Leftovers⠀➾ o ⚓ The Nation ☛ Home._School.⠀⇛ o § Science⠀➾ # ⚓ Science Alert ☛ Technology_Is_Secretly_Stealing_Your_Time. Here's_How_to_Reclaim_It.⠀⇛ There's a dark side to efficiency. # ⚓ Science Alert ☛ We've_Finally_Seen_in_Exquisite_Detail_How Human_Fingers_And_Toes_Grow⠀⇛ A remarkable process revealed for the first time. # ⚓ Science Alert ☛ Earth_on_Brink_of_Five_Catastrophic_Climate Tipping_Points,_Report_Warns⠀⇛ With frightening consequences for human societies. # ⚓ Science Alert ☛ Evidence_in_Humans_Shows_Stress_Really_Can Turn_Hair_Gray._But_It_Could_Be_Reversed.⠀⇛ Huh. # ⚓ Hackaday ☛ When_Nearly_Flat_Isn’t_Really_Flat⠀⇛ From where I am sitting, the earth is flat. The floor that runs the length of the unit my hackerspace sits in is flat, the concrete apron behind it on which we test our Hacky Racers is flat, and a few undulations in terrain notwithstanding, it remains flat as I walk up the road towards Stony Stratford. # ⚓ Hackaday ☛ Wio_Terminal_Makes_Passable_Oscilloscope⠀⇛ There was a time when getting a good oscilloscope not only involved a large outlay of capital, but also required substantial real estate on a workbench. The situation has improved considerably for the hobbyist, but a “real” scope can still cost more than what a beginner is looking to spend. Luckily, plenty of modern microcontrollers are capable of acting as a basic oscilloscope in a pinch, provided there’s a display available to interface with it. Combined with the right software, the Wio Terminal looks like a promising option. o § Standards/Consortia⠀➾ # ⚓ CoryDoctorow ☛ An_adversarial_iMessage_client_for_Android⠀⇛ Adversarial interoperability is one of the most reliable ways to protect tech users from predatory corporations: that's when a technologist reverse- engineers an existing product to reconfigure or mod it (interoperability) in ways its users like, but which its manufacturer objects to (adversarial): [...] o § Hardware⠀➾ # ⚓ Hackaday ☛ Anthrobots:_Tiny_Robots_From_Tracheal_Epithelium Cells_That_Can_Fix_Neural_Damage⠀⇛ Although we often regard our own bodies and those of the other multicellular organisms around us as a singular entity, each cell that makes up our body is its own, nano-robot. One long-existing question was whether these cells can be used for other tasks — like biological robots — after they have specialized into a specific tissue type, with a recent study by [Gizem Gumuskaya] and colleagues in Advanced Science (with Nature news coverage) indicating a potential intriguing use of adult human epithelial cells recovered from the trachea. # ⚓ Hackaday ☛ A_Fully-Transparent_Air_Bubble_Display⠀⇛ We all have good intentions when starting a new project, but then again, we all know where those lead. Such is the case with [RealCorebb]’s BBAir project, a completely transparent air bubble display. Although the plan was to spend about three months on it, the months slowly added up to a full year of tinkering. # ⚓ Hackaday ☛ Japan’s_JT-60SA_Generates_First_Plasma_As World’s_Largest_Superconducting_Tokamak_Fusion_Reactor⠀⇛ Japan’s JT-60SA fusion reactor project announced first plasma in October of this year to denote the successful upgrades to what is now the world’s largest operational, superconducting tokamak fusion reactor. First designed in the 1970s as Japan’s Breakeven Plasma Test Facility, the JT-60SA tokamak-based fusion reactor is the latest upgrade to the original JT-60 design, following two earlier upgrades (-A and -U) over its decades-long career. The most recent upgrade matches the Super Advanced meaning of the new name, as the new goal of the project is to investigate advanced components of the global ITER nuclear fusion project. # ⚓ Hackaday ☛ A_Revolution_In_Vehicle_Drivetrains?⠀⇛ Power delivery in passenger vehicle drivetrains hasn’t changed much since the introduction of the constant velocity (CV) joint in the 1930s. Most electric vehicles still deliver power via the same system used by internal combustion cars. Hyundai/ Kia has now revealed a system they think will provide a new paradigm with their Universal Wheel Drive System (Uni Wheel). [via Electrek] o § Health/Nutrition/Agriculture⠀➾ # ⚓ Science Alert ☛ Most_Extensive_Real-World_Study_on_HIV Prevention_Drug_PrEP:_The_Results_Are_in⠀⇛ Life-changing for so many people. # ⚓ BIA Net ☛ 137_workers_killed_on_the_job_in_November⠀⇛ The sector most affected by workplace accidents in November was construction and roadworks, where 40 workers lost their lives, according to the Health and Safety Labor Watch. # ⚓ New York Times ☛ White_House_Delays_a_Decision_on_Banning Menthol_Cigarettes⠀⇛ The proposal has elicited mounting opposition from tobacco companies, Black activists worried about police enforcement and small businesses, as President Biden moves into an election year. # ⚓ Federal News Network ☛ VA_watchdogs_raise_alarms_about steps_missed_screening_hires_with_drug_felonies⠀⇛ Federal watchdogs have found several gaps in how VA screens candidates for healthcare jobs — including identifying when it hires employees with a drug felony. # ⚓ Latvia ☛ Average_in-patient_stay_in_Latvia_lasts_well_over a_week⠀⇛ The average length of an in-patient stay in a Latvan hospital is 8.6 days, according to Eurostat data published December 4. # ⚓ Hong Kong Free Press ☛ Suspected_student_suicides_reach_10- year_high_as_Hong_Kong_gov’t_receives_31_reports_in_first_11 months_of_2023⠀⇛ The number of suspected student suicides in Hong Kong has reached a 10-year high, with the Education Bureau receiving 31 reports in the first 11 months of 2023. # ⚓ RFA ☛ China_restarts_COVID-19_testing_in_hospitals, airports⠀⇛ Official directives highlight the coronavirus as one of several respiratory illnesses ripping through the country. # ⚓ Federal News Network ☛ Everyone’s_talking_about_that_GAO report_on_empty_federal_offices⠀⇛ The most talked about Government Accountability Office report confirmed what a lot of people suspected: Federal offices are largely unoccupied. It is a continuation of the situation during the pandemic. For more on the report, Federal News Network Deputy Editor Jared Serbu spoke with GAO's Acting Director of Physical Infrastructure, David Marroni. # ⚓ New Yorker ☛ The_Euphoria_of_Cold-Water_Immersion_in “Swimming_Through”⠀⇛ In Samantha Sanders’s documentary short, a group of Chicago women find pandemic solace, in a death- defying winter ritual. o § Proprietary/Artificial Intelligence (AI)⠀➾ # ⚓ Simplilearn,_Backed_by_Blackstone,_Terminates_200_Employees Citing_Performance_Issues⠀⇛ Bengaluru-based edtech startup Simplilearn has reportedly terminated approximately 200 employees, citing poor performance as the reason, according to sources familiar with the matter. The layoffs affected employees across various levels, with the sales team being the most impacted, alongside other departments such as marketing and operations. The downsizing initiative commenced last week, starting with layoffs at the vice-president level. While Simplilearn communicated to the affected employees that their termination was based on performance issues, some of those impacted claim the layoffs were sudden, and the startup had not conducted recent performance reviews. Employees were reportedly called in for one-on-one interactions with the human resources department, where they were informed of their termination. # ⚓ TechCrunch ☛ Tidal_is_cutting_10%_of_its_staff_as_parent company_Block_seeks_to_reduce_headcount⠀⇛ Music streaming service Tidal is laying off more than 10% of its staff, the company confirmed to TechCrunch. The move comes as Tidal’s parent company, Jack Dorsey’s Block, recently told investors in a letter that it plans to cap the number of people at the company at 12,000. The layoffs news was first reported by Bloomberg. # ⚓ Over_240K_tech_employees_have_been_laid_off_in_2023⠀⇛ This past year has not been kind to many workers in the tech space. TechCrunch reported that more than 240,000 jobs have been lost in 2023 throughout the industry, a total that is 50% higher than last year and continues to grow. Massive layoffs became headlining news from major companies like Google, Amazon, Microsoft, Yahoo!, Meta, and Zoom. Startup tech companies also experienced staff cutbacks in the year’s first six months. The layoffs slowed down in the summer and fall, but the cuts are picking back up speed this winter. # ⚓ Bloomberg ☛ Salesforce_Signals_the_Golden_Age_of_Cushy_Tech Jobs_Is_Over⠀⇛ Marc Benioff’s famously employee-friendly company is becoming more Darwinian—and providing a new model for Silicon Valley. # ⚓ Techdirt ☛ Even_If_You_Hate_Both_AI_And_Section_230,_You Should_Be_Concerned_About_The_Hawley/Blumenthal_Bill_To Remove_230_Protections_From_AI⠀⇛ Over the past few days I’ve been hearing lots of buzz claiming that either today or tomorrow Senator Josh Hawley is going to push to “hotline” the bill he and Senator Richard Blumenthal introduced months back to explicitly exempt AI from Section 230. Hotlining a bill is basically an attempt to move the bill quickly by seeking unanimous consent (i.e., no one objecting) to a bill. o § Security⠀➾ # § Privacy/Surveillance⠀➾ # ⚓ ACLU ☛ New_Point-and-Shoot_Chemical_Detectors_Raise Privacy_and_Constitutional_Issues⠀⇛ The TSA has begun testing a new handheld device that purports to be able to quickly identify the substance that someone is carrying just by pointing a laser at it. This kind of device raises serious privacy issues — including constitutional issues — and it’s not clear whether the agency has seriously grappled with them. As a result, we’re filing a Freedom_of_Information_Act_request to find out more. The device being tested by the TSA is called a “handheld standoff chemical detector,” or HSCD. The TSA is testing one from a company called Pendar. Resembling a bulky hairdryer, the operator points it at a powder, liquid, gel, or solid, and presses a button which shoots a laser at the substance. The device then measures the wavelengths of light that are reflected back, which differ by substance due to a phenomenon of physics called the Raman_Effect. In a company demonstration video, an operator points the device at a white powder, and the device reports that it is a mix of sugar and ibuprofen, for example. The company says the device can identify any of about 7,500 unique chemicals, usually producing results in seconds from a distance of up to 6 feet, and that it works through glass or other transparent barriers. # ⚓ The Register UK ☛ NTT_Data_to_record_hotel_guests sleeping_and_sell_that_data_•_The_Register⠀⇛ o § Defence/Aggression⠀➾ # ⚓ RFA ☛ Manila_embarks_on_‘name_and_shame’_strategy_to counter_Beijing⠀⇛ Will neighboring countries follow the Philippines’ assertive transparency campaign in the South China Sea? # ⚓ JURIST ☛ (UPDATED)_Nevada_dispatch:_UNLV_campus_and_law school_remain_on_lockdown_after_3_people_fatally_shot⠀⇛ Elizabeth Haigh is JURIST’s Chief of Staff for the US and a 2L at the University of Nevada, William S. Boyd School of Law. She files this dispatch from Las Vegas, Nevada. This dispatch was initially filed at 4:40 PM EST/1:40 PM PST. # ⚓ Federal News Network ☛ Congress_should_reauthorize_Section 702⠀⇛ “The intelligence community used Section 702 information to avert the 2009 attempted New York City subway bombing, the 2010 attempted vehicle bombing at a Portland Christmas tree lighting ceremony … cyberattacks against critical U.S. infrastructure, and the smuggling of fentanyl into the United States.” # § Russia, Belarus, and War in Ukraine⠀➾ # ⚓ AntiWar ☛ It’s_Unanimous:_Ukrainian_Neutrality_Could Have_Brought_Peace⠀⇛ A leading Ukrainian politician said in a November 24 interview that as early as April 2022, Russia was “prepared to end the war if we agreed to…neutrality.” # ⚓ France24 ☛ Russia's_Putin_meets_leaders_of_Saudi Arabia,_UAE_on_whistle-stop_Gulf_tour⠀⇛ Russian President Vladimir Putin on Wednesday had hastily arranged talks with Saudi Crown Prince Mohammed bin Salman on oil, Gaza and Ukraine, hours after visiting Saudi Arabia's Gulf neighbour, the United Arab Emirates. # ⚓ RFERL ☛ Putin_Visits_U.A.E.,_Saudi_Arabia_Seeking_To Bolster_Moscow's_Mideast_Clout⠀⇛ Russian President Vladimir Putin visited the United Arab Emirates and Saudi Arabia on December 6 in an effort to raise Moscow's profile as a Middle East power broker, even as his war in Ukraine grinds on. # ⚓ RFERL ☛ U.K._Announces_Sanctions_Targeting_Those_Seen As_Aiding_'Putin's_War_Machine'⠀⇛ The United Kingdom has imposed new sanctions on 46 groups and individuals in countries ranging from Serbia to China that it says are supplying and financing Russia's war against Ukraine by helping it circumvent international sanctions. # ⚓ Meduza ☛ Putin_arrives_in_Abu_Dhabi_for_talks_with UAE_leader_—_Meduza⠀⇛ # ⚓ New York Times ☛ Putin_Travels_to_U.A.E._and_Saudi Arabia_on_Rare_Trip_to_Mideast⠀⇛ President Vladimir V. Putin of Russia stopped first in the United Arab Emirates and went on to Saudi Arabia. He said the Israel-Hamas war will figure prominently in his discussions. # ⚓ teleSUR ☛ Russian_President_Arrives_in_the_United Arab_Emirates⠀⇛ Vladimir Putin had a meeting with UAE President Mohamed bin Zayed Al Nahayan. # ⚓ The Straits Times ☛ Russia's_Putin_told_Saudi's_MbS: We_meet_in_Moscow_next_time⠀⇛ December 07, 2023 2:10 PM President Vladimir Putin said that a planned visit by Saudi Crown Prince Mohammed bin Salman to Russia had been changed at the last minute, prompting the Kremlin chief to visit Riyadh for talks with the leader of the world's biggest oil exporter. # ⚓ The Strategist ☛ Stabilising_relations_with_China mustn’t_come_at_the_expense_of_Australia’s_security⠀⇛ Geopolitics is driving the dangerous strategic realities that Australia faces. # ⚓ Atlantic Council ☛ Energy_security_as_the_foundation for_Ukraine’s_formula_for_peace⠀⇛ Rebuilding Ukraine’s energy sector in line with the world’s best practices in sustainable development and decarbonization will help to finally break the grip of the fossil fuel dictatorship and strengthen the new energy model of the world. # ⚓ France24 ☛ Pro-Russia_Ukrainian_politician_shot_dead near_Moscow⠀⇛ A former Ukrainian lawmaker regarded by Kyiv as a traitor was shot dead near Moscow on Wednesday and a Ukrainian source said he was killed by the country's security service. # ⚓ France24 ☛ Biden_willing_to_'compromise'_on_US_border policy_as_Senate_Republicans_block_Ukraine_aid⠀⇛ As Senate Republicans blocked the advance of tens of billions of dollars in military and economic assistance for Ukraine Wednesday, President Joe Biden berated their tactics as “stunning" and dangerous. Yet he also signaled an openness to what GOP lawmakers ultimately want: border policy changes. # ⚓ France24 ☛ Zelensky_cancels_Senate_address_as_US lawmakers_row_over_Ukraine_funding⠀⇛ Several Republican senators walked out of a classified briefing on Ukraine Tuesday as it descended into a row over the border crisis, after President Volodymyr Zelensky unexpectedly canceled a videolink appearance to appeal for continued US funding. # ⚓ RFERL ☛ Russian_Drone_Strike_Targets_Ukraine's_Danube Port_Infrastructure,_Causing_Death,_Damage⠀⇛ A Russian drone strike on critical grain export infrastructure at Ukraine's Danube port of Izmayil on December 7 killed a man and caused damage to port facilities, Oleh Kiper, the governor of Odesa region, said in a message on his Telegram channel. # ⚓ RFERL ☛ G7_Leaders_Agree_To_Restrictions_On_Imports Of_Russian_Diamonds⠀⇛ The leaders of the Group of Seven countries have agreed to restrict imports of Russian diamonds in another tightening of sanctions over Moscow's invasion of Ukraine. # ⚓ RFERL ☛ Two_'Traitors_Of_Ukraine'_Killed_In_Separate Incidents⠀⇛ Two Ukrainians who collaborated with Russian authorities have been killed -- one in a shooting in a village southwest of Moscow and the other in a car bombing in the Russian- occupied part of Ukraine's Luhansk region. # ⚓ RFERL ☛ U.S._Files_War_Crimes_Charges_Against_Four Russians_Accused_Of_Torture_In_Ukraine⠀⇛ The United States has charged four Russian soldiers with torture and other war crimes in connection with the alleged abduction and interrogation of an American during the early stages of Russia's full-scale invasion of Ukraine in April 2022. # ⚓ RFERL ☛ At_Least_10_People_Detained_In_Nepal_On Charge_Of_Recruiting_Jobless_People_To_Ukraine_War⠀⇛ Reuters cited police officials in Nepal on December 6 as saying that they detained 10 people on suspicion of sending Nepalese citizens to Russia, where they were recruited to Russian armed forces involved in Moscow's war in Ukraine. # ⚓ RFERL ☛ Ukrainian_Rights_Defender_Located_In_Prison In_Russian-Occupied_Luhansk_Region⠀⇛ Well-known Ukrainian human rights defender Maksym Butkevych, sentenced by a Moscow- installed court in Ukraine's eastern Luhansk region to 13 years in prison in March, has been located in the Russian-occupied region after going missing for more than three months. # ⚓ New York Times ☛ Republicans_Block_Aid_to_Ukraine, Jeopardizing_Its_Fight_Against_Russia⠀⇛ The vote spotlighted waning support in Congress for backing Ukraine in the war, and left the fate of the effort uncertain. # ⚓ New York Times ☛ Despite_McConnell_Legacy_Push,_Ukraine Funding_in_Increasing_Jeopardy⠀⇛ The minority leader, who many believe could step down next year, has found himself out of step with many fellow Senate Republicans on the question of keeping money flowing to the U.S. ally. # ⚓ New York Times ☛ China_and_E.U._Leaders_Meet_as_Tensions Rise_over_Russia⠀⇛ The European summit with China’s leader comes as relations have cooled over Beijing’s alignment with Russia in its war on Ukraine and a surge in Chinese exports. # ⚓ New York Times ☛ Russia’s_Latest_Disinformation_Tactic Exploits_American_Celebrities⠀⇛ Videos from Elijah Wood, Mike Tyson and others have been used — unknowingly to them, it seems — in social control media posts and Russian news coverage critical of Ukraine’s leader. # ⚓ New York Times ☛ Illia_Kyva_Is_Killed_Near_Moscow⠀⇛ The lawmaker, Illia Kyva, called for Ukraine to surrender after Russia invaded. He was living in Russia, but Ukrainian authorities had sentenced him to prison in absentia on charges including treason. # ⚓ Meduza ☛ Former_Ukrainian_lawmaker_Illia_Kyva_found_dead_in Moscow_region_—_Meduza⠀⇛ # ⚓ Meduza ☛ Former_Ukrainian_lawmaker_Illia_Kyva_found_dead_in Moscow_region_Ukrainian_media_say_Ukraine’s_Security_Service was_behind_it_—_Meduza⠀⇛ # ⚓ New York Times ☛ As_Political_Turmoil_Intensifies_in Ukraine,_Opposition_Leader_Calls_for_Unity⠀⇛ Tensions between Ukrainian leaders, including between President Volodymyr Zelensky and his military chief, come as the country seeks emergency aid from Washington. # ⚓ New York Times ☛ U.S._Charges_4_Russian_Soldiers_With_War Crimes_Against_an_American⠀⇛ The Justice Department also said it had begun investigating the “murder of more than 30 Americans” by Hamas fighters during the Oct. 7 attack in Israel. # ⚓ New York Times ☛ Biden_Calls_on_Congress_to_Approve_Aid_to Ukraine:_‘This_Cannot_Wait’⠀⇛ The administration has already alerted Congress that money for Ukraine will run out by the end of the year. # ⚓ France24 ☛ Moscow_police_raid_LGBTQ_nightclubs:_‘My_life was_hanging_by_a_thread’⠀⇛ Moscow police carried out raids on nightclubs hosting LGBTQ events on December 1, just two days after Russia’s Supreme Court banned the “international LGBTQ movement” and classified it as an extremist movement. The police forced people in attendance to strip to their underclothes and took photos of their identity cards in what’s being described by activists as an “act of intimidation”. # ⚓ JURIST ☛ US_justice_department_charges_4_Russia_soldiers with_war_crimes⠀⇛ The United States Department of Justice (DOJ) formally unsealed war crime charges against four Russian soldiers on Wednesday. The soldiers charged with three war crimes each—unlawful confinement, torture and inhuman treatment—and one count of conspiracy to commit war crimes. The defendants face a maximum penalty of life in prison. None are currently in custody.  # ⚓ RFERL ☛ Russian_Presidential_Election_Set_For_March_17⠀⇛ Russia's upper house of parliament, the Federation Council, has set March 17 for a presidential election. # ⚓ Meduza ☛ New_retail_chain_selling_products_from_Adidas_and Reebok,_which_left_Russia_in_March_2022,_opening_in_Moscow_— Meduza⠀⇛ # ⚓ Meduza ☛ Russia_reportedly_arresting_migrants_attempting_to enter_Finland_and_recruiting_them_into_army_under_threat_of deportation_—_Meduza⠀⇛ # ⚓ Meduza ☛ Bill_banning_private_clinics_from_performing abortions_to_be_submitted_to_Russia’s_State_Duma_in_spring session_—_Meduza⠀⇛ # ⚓ Meduza ☛ Captive_audience_How_Ukrainian_children_forcibly taken_to_Russia_are_taught_to_love_their_‘new_homeland’_— Meduza⠀⇛ # ⚓ Meduza ☛ U.S._charges_four_Russian_soldiers_with_abducting and_torturing_American_citizen_in_Ukraine_—_Meduza⠀⇛ * § Environment⠀➾ o § Energy/Transportation⠀➾ # ⚓ The Straits Times ☛ China_launches_world's_first_fourth- generation_nuclear_reactor⠀⇛ China is seeking to free itself from coal-fired power plants and reduce its dependence on foreign technologies. # ⚓ Hackaday ☛ Operate_Your_Own_Nuclear_Reactor,_Virtually⠀⇛ If you’ve ever wanted to operate your own nuclear reactor, you probably aren’t going to get one in your backyard shop. However, thanks to the University of Manchester, you can get a simulated one in your browser. The pressurized water reactor looks realistic and gives you controls that — we are fairly sure — are greatly simplified compared to the real thing. * § Finance⠀➾ o ⚓ YLE ☛ Unicef_expert:_Orpo_government_policies_will_increase_child poverty⠀⇛ A Unicef expert warns that planned budget cuts will hurt poor families with children, with knock-on effects including learning outcomes. o ⚓ Hong Kong Free Press ☛ Moody’s_downgrades_Hong_Kong_credit_rating outlook_to_negative,_gov’t_disagrees⠀⇛ Hong Kong, China Ratings agency Moody’s downgraded its outlook on Hong Kong’s credit rating to negative from stable on Wednesday, following a similar change for China the day before. o ⚓ The Straits Times ☛ High_inflation_for_Taiwan’s_poorest_poses election_risk_for_DPP⠀⇛ December 07, 2023 10:55 AM The govt is struggling to tame prices of key staples such as meat and eggs.  o ⚓ The Strategist ☛ A_green_economy_requires_more_than_subsidies⠀⇛ In recent years, many policymakers thought they had found the perfect formula for implementing climate-friendly policies without facing difficult political trade-offs: massive subsidies. o ⚓ Vanity Fair ☛ “People_Are_Disgusted”:_Why_Washington_Post_Staff Walked_Out⠀⇛ More than 700 Washington Post staffers walked off the job on Thursday, a historic work stoppage to protest stalled union contract negotiations—and, for some, to voice grievances with leadership more broadly. “There’s just a lot of anguish about a lot of things,” one Post employee told me. The 24-hour strike—something that hasn’t happened at the paper since the 1970s, according to Post Guild leaders—kicked off at midnight on Thursday. The walkout is “in protest of the company’s efforts to bargain in bad faith” and “unilaterally end negotiations over the contract, and with the buyouts that were announced earlier this year,” said Post climate reporter Sarah Kaplan. “This is a declaration by hundreds of Washington Post staffers saying that the company has to work with us fairly,” and “respect the fact that this news organization does not work without all of us.” A picket line was erected outside the paper’s HQ in Washington, where participating staff, organizing in shifts, began demonstrating in the early morning. * § AstroTurf/Lobbying/Politics⠀➾ o ⚓ LRT ☛ Lithuania_to_turn_to_EC_as_Meta_ignores_calls_to_deal_with scammers_on_social_control_media⠀⇛ After failing to get a response from Meta, Lithuanian institutions are planning to turn to the European Commission about fraud and fake accounts on Facebook (Farcebook) and Instagram. o ⚓ Silicon Angle ☛ Meta’s_woes_deepen_after_New_Mexico_says_company failed_to_protect_children_from_online_sex_abuse⠀⇛ A lawsuit launched today by the New Mexico attorney general claims that Meta Platforms Inc. and Chief Executive Mark Zuckerberg failed “to protect children from sexual abuse, online solicitation, and human trafficking.” o ⚓ RFA ☛ Moon_govt_covered_up,_distorted_2020_official’s_death_by North:_Audit⠀⇛ Relevant South Korean agencies ‘sat idle and did not take any action,’ findings show. o ⚓ The Straits Times ☛ South_Korea_could_go_‘extinct’_without_proper immigration_policy,_minister_says⠀⇛ The minister said accepting more immigrants is no longer a choice but a necessity. o ⚓ The Straits Times ☛ China’s_push_to_loosen_Mao-era_residence rules_runs_into_hurdles⠀⇛ One of the most coveted documents in China is an urban hukou, or residency permit. o ⚓ The Straits Times ☛ 30-day_visa-free_travel_between_Singapore, China_to_begin_in_early_2024⠀⇛ This means citizens from both countries can visit the other for up to 30 days without the need for a visa. o ⚓ The Straits Times ☛ China’s_Pooh-tin_warns_top_EU_officials_not to_engage_in_confrontation⠀⇛ Mr Pooh-tin said China is willing to make the EU a key economic and trade partner. o ⚓ The Straits Times ☛ China's_President_Pooh-tin_to_visit_Vietnam⠀⇛ China's President Pooh-tin Jinping will visit Vietnam on Dec. 12-13, according to a statement from China's foreign ministry. o ⚓ RFA ☛ Papua_New_Guinea,_Australia_sign_security_pact_aimed_at regional_stability⠀⇛ The agreement underlines Australia’s security role in the Pacific at a time of China-U.S. rivalry in the region. o ⚓ The Straits Times ☛ Australia_signs_security_agreement_with_Papua New_Guinea⠀⇛ Australia Prime Minister Anthony Albanese said on Thursday the country had signed a bilateral security agreement with neighbour Papua New Guinea. o § Misinformation/Disinformation/Propaganda⠀➾ # ⚓ Reason ☛ Jeff_Kosseff:_Why_False_Speech_Deserves_First Amendment_Protections⠀⇛ The former journalist defends misinformation in the Trump era and explains why so many journalists are against free speech. * § Censorship/Free Speech⠀➾ o ⚓ EFF ☛ Speaking_Freely:_Alison_Macrina⠀⇛ Alison Macrina is an activist librarian and the director of Library Freedom Project (LFP). LFP is radically rethinking the library professional organization by creating a network of values-driven librarian-activists taking action together to build information democracy. LFP offers trainings, resources, and community building for librarians on issues of privacy, surveillance, intellectual freedom, labor rights, power, technology, and more—helping create safer, more private spaces for library patrons to feed their minds and express themselves. o ⚓ RFA ☛ Jimmy_Lai’s_lawyer_says_rape_threats_precede_public events⠀⇛ Congress is told Beijing is ‘the world leader on transnational repression’ that forces critics to 'shut up.' o ⚓ RFA ☛ Hong_Kong_protester_shot_by_police_appears_in_video 'confession'⠀⇛ Tsang Chi-kin, whose shooting in 2019 made headlines, says he was 'incited' and 'instigated' to protest by others. o ⚓ Hong Kong Free Press ☛ New_museum_celebrating_China’s achievements_planned_for_Hong_Kong_Science_Museum_site,_Heritage Museum_faces_axe⠀⇛ The Hong Kong government plans to build a new museum celebrating China’s “grand development and achievements” on the site of Tsim Sha Tsui’s popular Science Museum, which will be moved out of the city’s prime tourist district. o ⚓ Techdirt ☛ Court_Tosses_Libel_Suit_Brought_Against_A_Legal_Doc Site_For_‘Failing’_To_Report_On_A_Settlement_Agreement⠀⇛ We’ve seen lots of… shall we say… misguided libel lawsuits here at Techdirt. We’ve also seen plenty of lawsuits filed for the sole purpose of bullying someone into silence for reporting inconvenient facts. o ⚓ Mandatory_AI_face_scanning_is_coming_to_adult-only_websites_to verify_age⠀⇛ A government regulatory body is pushing to implement mandatory artificial intelligence-powered face scanning technology on adult-only websites. * § Freedom of Information / Freedom of the Press⠀➾ o ⚓ Meduza ☛ Criminalizing_information_A_new_law_could_deal_a_huge blow_to_investigative_journalism_in_Russia_—_Meduza⠀⇛ * § Civil Rights/Policing⠀➾ o ⚓ YLE ☛ Police_detain_Independence_Day_demonstrators_in_Helsinki⠀⇛ At least four groups of demonstrators from across the political spectrum marched in Helsinki on Wednesday. o ⚓ The Straits Times ☛ Australia_passes_new_detention_laws_for stateless_convicts⠀⇛ A court can order detention of offenders if they pose risk of committing serious offences. o ⚓ YLE ☛ Protesters_criticise_police_for_excessive_use_of_force during_Helsinki_demonstration⠀⇛ One member of the 'Helsinki without Nazis' protest said the police's actions were "aggressive and deliberate". * § Internet Policy/Net Neutrality⠀➾ o ⚓ Techdirt ☛ Congressional_Incompetence_Could_Doom_Key_Low-Income Broadband_Program⠀⇛ Americans pay some of the highest prices in the developed world for broadband due to consolidated monopoly power and feckless regulators. It’s a problem the U.S. government lacks the competence or political integrity to fix. So what we usually get are strange Band-Aids that treat the symptoms of the underlying problem (unchecked corporate power muting competition). o ⚓ Techdirt ☛ Dumb,_Telecom_Industry_Backed_‘Network_Fees’_Drive Twitch_Out_Of_Korea⠀⇛ Twitch has announced that the company is shutting down in Korea after regulators there imposed a ridiculous new regulatory framework that drove the company’s operational costs through the roof. o ⚓ APNIC ☛ [Podcast]_The_ICANN_DNS_stats_collector_system⠀⇛ How ICANN manages data capture from the IMRS (L Root) systems worldwide. o ⚓ Twitch_begins_to_fall_with_the_livestreaming_platform_shutting down_in_South_Korea⠀⇛ Twitch has announced its planning to shut down its livestreaming service in South Korea over expensive, unsustainable operating costs. * § Digital Restrictions (DRM)⠀➾ o ⚓ Software Freedom Conservancy ☛ SFC_joins_amicus_curiae_in_Green v._Department_of_Justice⠀⇛ A news_item from Software Freedom Conservancy. Large coalition against DMCA among right to repair, digital rights and advocacy groups speaks out In the case of Green v. Department of Justice, filed in 2016 concerning section 1201 of the DMCA, Software Freedom Conservancy — along with Public Knowledge, The Digital Right to Repair Coalition, iFixit, The Open Source Hardware Association, and Jonathan Askin, Aaron Perzanowski, and Anthony Rosborough — all joined an amicus_curiae_brief led by Charles Duan in support of the defendant. § Monopolies/Monopsonies⠀➾ * ⚓ UK_Could_Regulate_Tech_Giants_Under_Financial_Umbrella⠀⇛ Could tech giants like Google and Amazon fall under the purview of British financial regulators? A trio of those regulators — The Bank of England, Prudential Regulation Authority (PRA) and Financial Conduct Authority (FCA) — announced Thursday (Dec. 7) they are reviewing rules that would cover services provided by “critical third parties” (CTPs) to the financial sector. These third parties include cloud providers, as well as information and communications technology firms. “Financial market infrastructure firms are becoming increasingly dependent on third-party technology providers for services that could impact UK financial stability if they were to fail or be disrupted,” Bank of England Deputy Governor Sarah Breeden said in the statement. * § Copyrights⠀➾ o ⚓ Public Domain Review ☛ The_World's_First_Costume_Book:_François Desprez's_Collection_of_Various_Clothing_Styles_(1562)⠀⇛ Desprez’s 121 engravings illustrate garbs supposedly found the world over in 1562, worn by humans and monsters alike. o ⚓ Ruben Schade ☛ Generative_AIs_don’t_steal;_their_operators_do⠀⇛ A recurring theme here this year has been my conscientious objection to how large-language models and generative Hey Hi (AI) tools are trained on peoples’ work without permission, attribution, or compensation. The legality and business_viability concern me less than the grim prospect of someone’s inspiration, love, and creativity being churned_like_butter for commercial gain and spam. Ross Anderson from Cambridge likens_their entropic_decay_to_pollution, which also demonstrates why these tools aren’t “inspired” by works as creative people are. Humans create, AIs consume. Here comes the proverbial posterior prognostication: but… there’s an angle to this I hadn’t considered, and that I now concede I got wrong. hbomberguy’s_video_on_plagiarism concludes with a brief section on generative AI: [...] o ⚓ Digital Music News ☛ Who_Will_Own_Copyright_Tomorrow?_RIAA,_A2IM, Recording_Academy_Hit_Back_at_‘Falsehoods_Asserted_by_Hey_Hi_(AI) Companies’⠀⇛ The American Association of Independent Music, the Recording Academy, and the Recording Industry Association of America hit back at falsehoods asserted by Hey Hi (AI) companies in recent court filings. o ⚓ Digital Music News ☛ Clownflare_Touts_German_Court’s_Ruling_in Universal_Music_Legal_Battle_As_‘Important_Progress’_for_the Internet⠀⇛ Amid a long-running legal battle with Universal Music Group (UMG) in Germany, Clownflare is touting a new court ruling as a win for it as well as the broader internet “against misguided attempts to address online copyright monopoly infringement.” * § Gemini* and Gopher⠀➾ o § Personal/Opinions⠀➾ # ⚓ Does_this_sound_like_at_least_aspect(s)_of_ADHD_to_you?⠀⇛ It occurs to me my hyper-attention to attention itself could well be due to having possibly been massively ADHD back to at least my late teens. I say that, because last night my wife showed me a pictorial attempting represent the difference between an ADHD mind and a non-ADHD mind relative to having several things to accomplish. The vast majority of what I want to call "my downfall" in the last several years is without question COVID causing her to work from home, which meant my no longer being able to work alone. And it was even worse than that, because the layout of that dwelling was such that in all ways other than to the benefit of my sanity, it made the most sense that her desk was behind mine in the same room. # ⚓ In_part_because_I_still_think_rights_(ownership_sense)_are wrongs⠀⇛ Okay, that song I mentioned a while back, getting a little panic-stricken over "rights" leading to more revelation than I felt comfortable with? # ⚓ Just_keep_sharpening⠀⇛ Growing up there were always a huge number of knives around me. I did boy scouts so I had my own multitool knife, a decent Gerber with passable knife, some pilers, various other accessories, since about the age of 12. I had a healthy respect for knives, for the most part. There was one time I threw a kitchen knife very dangerously in the house, "at", my sibling sticking it blade first in the wall next to their face. Not the best look, but to be fair I was confident in my knife throwing, and I did intend to miss, but I /really/ shouldn't have done that. I probably shouldn't start a blog post with an anecdote like that, but I wrote it, it's true, and well... I just don't feel like erasing it at this point. # ⚓ A_Very_Different_Sort_Of_Life:_On_Marlowe_Granados'_"Happy Hour"⠀⇛ I'm a voracious reader of poetry - somewhere between 50 and 150 chapbooks and full-length collections a year - and opportunity cost being what it is, that volume's got to come at the expense of something. I used to read a lot more non-fiction; that's dwindled considerably. In my twenties I read more novels and mysteries, and right now might read one or two per year. You can get hung up on what you're missing, or enjoy what you're reading, and I've always believed in the latter. There's more written than you can ever read. You're going to miss most of it. Grab a book and relax. o § Technology and Free Software⠀➾ # ⚓ KDE_plasmashell_High_CPU_Usage_Work-around⠀⇛ I updated openSUSE today. And I can see my "plasmashell" process is maxing out one of my CPU cores and causing KDE to run slowly. I can also hear my CPU fan running on high. I tried logging on as a different user. And I did not have a problem. I'm assuming there is some KDE configuration problem specific to the affected user. After removing their configuration and rebooting, that user no longer had a problem. Note you can use KDE's "System Monitor" (plasma- systemmonitor) to view CPU usage in a desktop environment. Otherwise "top" or a similar command- line program can show CPU usage. I'm using plasmashell version 5.27.9 # ⚓ Thumby_editor_🔤⠀⇛ I released TinyEdit, a text editor for Thumby. It's available from the Thumby arcade. I've been writing a game for ages. It's not ready yet, but it spawned TinyTunes, a music editor, because I wanted music in the game. Then I wanted to edit a level file. I had to connect the Thumby to a computer. "I want a text editor on Thumby!" So I wrote one. # § Internet/Gemini⠀➾ # ⚓ Oh_wow,_I_guess_I_do_have_a_Neocities_account/site⠀⇛ Amazing - and, yes, this is mathematically impossible - how much more I've forgotten than I've ever known. Looks like I'd already been experimenting with having a "free" Neocities site, with links to mp3's in the Google Drive zone. And that seems to work fine for mp3 delivery so long as people are clicking on mp3 links whilst logged into Google. But if/when they aren't (I verified this by attempting to access in "Incognito Mode"), although the file seeming loads into a player in Chrome, clicking on the play icon invariably leads to: "There was a problem playing this audio file." (Although the popup that displays that text also has a "Download" button that works, and the downloaded file plays just fine....) # ⚓ Making_change⠀⇛ It hit me while writing the previous post that what's disappointed me most about online spaces has been the lack of what I so enjoyed doing in creating a song about a Laurie based on what she presented of herself: a take on a take. I looked forward to online evolving in the direction of a sort of reciprocal celebration. =============================================================================== * Gemini_(Primer) links can be opened using Gemini_software. 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