𝕿𝖊𝖈𝖍𝖗𝖎𝖌𝖍𝖙𝖘 Bulletin for Monday, August 08, 2022 ┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅ Generated Tue 9 Aug 02:40:38 BST 2022 Created by Dr. Roy Schestowitz (𝚛𝚘𝚢 (at) 𝚜𝚌𝚑𝚎𝚜𝚝𝚘𝚠𝚒𝚝𝚣 (dot) 𝚌𝚘𝚖) Full hyperlinks for navigation omitted but are fully available in the originals The corresponding HTML versions are at 𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈 Latest in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒕𝒙𝒕 and older bulletins can be found at 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒕𝒙𝒕-𝒂𝒓𝒄𝒉𝒊𝒗𝒆𝒔 Full IPFS index in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒊𝒑𝒇𝒔 and as plain text in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒊𝒑𝒇𝒔/𝒕𝒙𝒕 Gemini index for the day: gemini://gemini.techrights.org/2022/08/08/ ╒═══════════════════ 𝐑𝐄𝐂𝐄𝐍𝐓 𝐁𝐔𝐋𝐋𝐄𝐓𝐈𝐍𝐒 ════════════════════════════════════╕ Previous bulletins in IPFS (past 21 days, in chronological order): QmYTKahqtmH46iM3ZthdPvDKojc39tpTCiyk2GGs8Y29DU QmRRSvTcmYGSSCvpvxz5PTAHRT4fdRHip9uhxwcQXMWp9G QmQpoFyQcBb3KsKSZ3VzsMZsMmgcTqXq1zThATBh2bp3Yp QmZrQzFnwRoF6P9gTMQfqokg7GSmtCyoyEMWxV7jZxDsZn QmRgX3FU5tqoWu74D2LUMC84rvb5VBXutGnvudD9rbAAgn QmNocWiFPVNdoZoPJy1s4vZQryq4BWRJMou5WsNScHuuMt QmWkLbREwUBZdex6qeeh1UyUD3GwnNihMfEE28VhuPZYAK QmUmo6iUYY6LPz7rMxVJXtYjzryXZaVK76GtZjE3wXnAbk QmTcjQcpQmc33H6tVYxaBQP4SYQnHTEnFzA1HJRmbELhh3 Qmd5sSa6zctA8RcuhbgaMD5PKt4K2aGr7vwBWUT9GrkoLL QmXggz4ZzdoNrnyGD87xZXV7EnECHikMc7N5PUE6qSiZ7Y QmcHk17nfvFbsgxkAzX3fqiG6CVs1EHd6jwajhUb1wWHkg QmfVCS2T3FrMdyAu49nSsRJYhD12dUhVKKQJZAqUMECiet QmYCHDLUuZZxWmEJTbrpvFMNBk7mBbD8uoTPPRsWSqCC2L QmRsfQ3pw4nuArQmWW674K37HTGj3tNeiZgpSYXaAuEhLD QmT23V7rp3Ae5ZxqXsMyaTefUq1s6QBb2oAixwDFJtaTCP QmU5ELpXwLE1ZfJ8H6mSshDjG3x19rMkZWZ8Qx6PKkBWRB QmUReWtcWQ5HsqPCLHEspV2D51CR7gkA9PiDKC7b763DgE QmUZHkoHzitUm38ZMdJ3aeGJsFbcEbrpbxRqLxgvnLFKPL QmRYZ5KjYGZuv3b7JvqAbV4rfX2ZVkMWBfC4aXFKwZjrct QmcPmtYjQ627Bey3DX46YG4WiSgmpF8GB5yDWsvH4ohkxP ╒═══════════════════ 𝐈𝐍𝐃𝐄𝐗 ═══════════════════════════════════════════════════╕ ⦿ [Meme] Qualified and Diplomatic Immunity Begets Crime | Techrights ⦿ Request for More Information on EPO/EUIPO Corruption | Techrights ⦿ Firefox Has DRM Even if You Turn off DRM | Techrights ⦿ IRC Proceedings: Sunday, August 07, 2022 | Techrights ⦿ PeppermintOS Without Systemd More Popular Than the ’Standard’ Edition? | Techrights ⦿ Mind-Blowing and Likely Verifiable Rumours About More High-Level Corruption at the European Patent Office (EPO) | Techrights ⦿ According to StatCounter, GNU/Linux Reaches All-Time High on Desktops and Laptops (Steam Survey Shows the Same) | Techrights ⦿ Techrights in the Next Ten Years | Techrights ䷼ Bulletin articles (as HTML) to comment on (requires login): http://techrights.org/2022/08/08/crime-office/#comments http://techrights.org/2022/08/08/epo-information-gathering/#comments http://techrights.org/2022/08/08/firefox-drm/#comments http://techrights.org/2022/08/08/irc-log-070822/#comments http://techrights.org/2022/08/08/peppermintos-devuan/#comments http://techrights.org/2022/08/08/re-epo-corruption-in-nl/#comments http://techrights.org/2022/08/08/statcounter-gnu-linux/#comments http://techrights.org/2022/08/08/techrights-ten-years/#comments ䷞ Followed by Daily Links (assorted news picks curated and categorised): http://techrights.org/2022/08/08/easyos-4-3-3/#comments http://techrights.org/2022/08/08/rescuezilla-2-4/#comments ䷩ 𝚕𝚒𝚗𝚎 69 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at http://techrights.org/2022/08/08/crime-office/#comments Gemini version at gemini://gemini.techrights.org/2022/08/08/crime-office/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 08.08.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ [Meme]_Qualified_and_Diplomatic_Immunity_Begets_Crime⠀✐ Posted in Europe, Patents at 6:25 pm by Dr. Roy Schestowitz 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇I'm_the_f***ing_EPO_president;_Immune_from_prosecution⦈_ Summary: Europe’s biggest patent office has sadly become a place that shelters and rewards criminals, who don’t even know or care about the purpose of this office ⣰⡿⢿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢸⣿⡆⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⣿⡇⠈⠉⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠸⠓⠀⠰⠾⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠃⠀⠀⠀⠤⠀⠈⠙⠀ ⠗⠓⢻⣿⣿⣉⠁⣿⡏⡄⠀⠀⠸⡟⢿⣿⣿⠏⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣤⣤⣤⣤⣤⣤⠤⠧⠿⠿⠿⠛⠛⠀⠀⠀⠀⢀⣀⣀⣀⣀⣠ ⠀⠀⢸⣿⣿⣿⢇⣿⡇⠃⠀⠀⢀⣯⣾⠿⣯⣤⣼⣷⣤⣄⡀⠀⠀⠀⠀⠀⣇⠀⠀⠀⣿⡇⠀⠀⢀⢸⣿⣿⣿⣿⣿⡿⠿⠿⠿⠟⠛⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⢀⣾⣿⣿⣿⡇⣀⣤⣾⣿⠏⣵⠟⠋⠉⠛⢻⣿⣿⣿⣶⡄⠀⠀⠀⢷⠀⠀⠀⣿⣇⠀⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⢺⣿⣿⡛⣿⣿⣿⣹⣿⢗⠍⠀⠀⠀⠀⠀⠀⠈⠉⠛⠏⣿⣆⠀⠀⢸⠀⠀⠀⢼⣿⠀⠀⠀⣿⣿⠁⠀⠀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⢠⠂⢠⣶⣶⣶⣶⣶⣶⣦⣀⣠⣴⣿⣿⡇⠀⢸⠀⠀⠄⠚⠙⠂⠀⠀⣿⡟⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣿⣿⣿⠟⠿⢿⣽⢄⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣇⠀⠈⠀⠀⠀⠀⠀⠨⠄⠀⠸⠁⠀⢀⣿⣛⣛⣛⣛⣛⣛⣛⣛⣛⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⡿⠛⠛⠛⠛⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿ ⡉⢻⣿⡿⠀⠀⠈⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠘⠃⠒⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣛⣒⣲⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿ ⣿⠸⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⣋⠉⠙⠛⣿⣿⡿⠿⠿⢿⣃⣷⠀⠀⢀⡀⠀⠀⠀⠀⠠⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿ ⠀⠐⠋⠀⠀⠀⠀⠘⣤⠀⠀⠠⣾⣿⣶⣶⣶⣶⣦⣿⣿⣧⣤⣤⣼⣿⣿⣧⠀⠀⣷⢰⡆⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⡇⠀⠀⠀⠀⠀⠀⣠⣤⣼⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡟⢸⡇⠀⠀⠀⠀⣠⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⡀⠀⠀⠈⠉⢿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠹⣿⣿⣿⣿⣻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠀⠀⢀⣤⣾⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠁⣴⣶⣤⡄⠈⠛⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣧⡇⢸⠀⠀⢸⣿⠿⣣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡇⠀⠀⢀⣹⣿⣿⠀⠘⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡇⢸⠀⠀⢸⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⠹⣿⣿⠿⣷⣾⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⡇⡇⢸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⢀⣿⣧⣄⣉⠉⢠⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠉⠙⢻⣿⣿⡇⢻⣏⠉⠛⠿⣿⣧⣇⡸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡇⠀⠀⢸⣿⡿⢿⣿⡿⠀⠙ ⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣶⣷⣄⣀⣀⡠⣶⣿⣿⣿⡇⠘⠁⠀⠀⠀⠀⠉⠋⠁⠀⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢰⣌⣿⣿⣆⠻⠷⠀⠀ ⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣛⣛⣭⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠃⠀⣸⡿⣿⣿⣅⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠛⠉⠉⠉⠉⢙⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⢸⠀⢀⣿⠇⠀⢸⣿⣗⣾⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡜⣷⣦⠀⠀⠀⢀⣾⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢸⠀⣸⣿⡄⢀⣼⣿⣿⣿⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⣿⣿⡇⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⠀⣿⣿⣿⣿⣿⠛⣿⡟⠀⠀ ⠀⠖⠲⣶⠏⢶⠄⠰⠶⠶⠖⠀⠀⢹⣿⠃⠀⠀⠈⢿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠿⢿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⠀⣿⣿⣿⣿⠿⢴⣿⡇⠀⠀ ⣴⡿⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢸⡇⡎⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⣿⡇⠈⠉⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠘⠓⠀⠐⠶⠿⠿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠃⠀⠀⠀⠤⠀⠈⠙⠀ ⠗⠒⢻⣿⣷⣉⠀⣿⡇⡄⠀⠀⢸⡇⣿⣿⣿⠏⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣤⣤⣤⣤⣤⡤⠤⠧⠿⠿⠿⠛⠛⠀⠀⠀⠀⢀⣀⣀⣀⣀⣠ ⠀⠀⢸⣿⣿⣿⢳⣿⡇⠃⠀⠀⢸⣯⡿⠿⣷⣦⣼⣷⣤⣄⡄⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⡇⠀⠀⢀⢸⣿⣿⣿⣿⣿⠿⠿⠿⠿⠛⠛⠛⠛⠋⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⢠⣿⣿⣿⣿⣇⣀⣤⣾⡿⠉⡵⠛⠋⠉⠙⠻⣿⣿⣿⣶⡄⠀⠀⠀⢯⠀⠀⠀⣿⡇⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣼⣿⣿⡛⣿⣿⣿⢿⡿⢷⠍⠀⠀⠀⠀⠀⠀⠀⠉⠛⠏⣿⣆⠀⠀⢸⠀⠀⠀⣿⣿⠀⠀⠀⣿⣿⠀⠀⢀⣀⣀⣀⣀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠈⠀⠠⠃⢠⣶⣶⣶⣶⣶⣶⣶⣄⣤⣼⣿⣿⡇⠀⢸⠀⠀⠀⠛⠙⠂⠀⠀⣿⡏⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣿⣿⣿⠛⠿⣏⣿⡄⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣇⠀⠈⠀⠀⠀⠀⠀⠨⠄⠀⠸⠁⠀⢀⣿⣛⣛⣛⣛⣛⣛⣛⣛⣛⡛⠛⠛⠛⢻⣿⣿⣿⣿⣿⡿⠛⠛⠛⠛⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿ ⠉⢻⣿⡇⠀⠀⠈⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡟⠀⠀⠘⠃⠒⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣛⣓⣲⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿ ⣷⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠛⣿⣿⡿⠿⠿⢿⢨⣷⠀⠀⢀⡀⠀⠀⠀⠀⠠⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿ ⠀⠐⠋⠀⠀⠀⠀⠘⣤⠀⠀⠠⣾⣿⣷⣶⣶⣷⣦⣿⣿⣷⣤⣤⣼⣿⣿⣧⠀⠀⣷⢰⡆⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡇⠀⠀⠀⠀⠀⢀⣠⣤⣾⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⡀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⡇⢸⠆⠀⠀⠀⠀⣠⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⡀⠀⠀⠀⠉⢿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠹⣿⣿⣿⣿⣹⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠀⠀⢠⣤⣾⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠁⣶⣷⣤⡄⠈⠛⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣧⡇⢸⠀⠀⢸⣿⠟⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡇⠀⠀⢀⣹⣿⣿⠀⠙⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣶⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⡿⡇⢸⠀⠀⢸⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⠸⣿⣿⠿⣷⣾⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⡇⡇⢸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⢀⣿⣷⣤⣈⠁⠰⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠉⠉⣹⣿⣿⡇⢻⣏⠉⠛⠻⣿⣧⣇⡼⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡇⠀⠀⢸⣿⣿⢿⣿⡿⠀⠙ ⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣶⣷⣤⣤⣀⡀⣶⣿⣿⣿⡇⠘⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢰⣌⣿⣿⣦⠻⠷⠀⠀ ⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣛⣛⣷⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠃⠀⣸⡿⣿⣿⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠛⠉⠉⠉⠉⢉⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⢀⣿⠇⠀⢺⣿⣗⣾⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡜⣷⣦⠀⠀⠀⢀⣾⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢸⠀⢸⣿⣄⠀⣼⣿⣿⣿⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⣿⣿⡇⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⠀⢸⣿⣿⣿⣿⠉⣿⡟⠀⠀ ⠀⠖⠲⣶⠏⢶⠄⠰⠶⠶⠖⠀⠀⢹⣿⠁⠀⠀⠈⢿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣽⠿⢟⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⠀⣾⣿⣿⣿⠿⣶⣿⡇⠀⠀ ⣰⠿⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢸⡇⡌⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⣿⡇⠈⠉⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠰⠒⠀⠰⠶⠿⠿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠃⠀⠀⠀⠤⠀⠈⠙⠀ ⠗⠒⢻⣿⣷⢉⠀⣿⡇⡄⠀⠀⠸⡇⣷⣿⣿⠏⢿⡿⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣤⣤⣤⣤⣤⣤⠤⠧⠼⠿⠿⠛⠛⠀⠀⠀⠀⢀⣀⣀⣀⣀⣠ ⠀⠀⢸⣿⣿⣿⢣⣿⡇⠃⠀⠀⢀⣯⡿⠿⣷⣦⣼⣷⣤⣄⡄⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⡇⠀⠀⢀⢸⣿⣿⣿⣿⣿⠿⠿⠿⠿⠟⠛⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⢠⣾⣿⣿⣿⣇⣀⣤⣾⣿⠋⠵⠟⠋⠉⠙⠻⣿⣿⣿⣶⣄⠀⠀⠀⣯⠀⠀⠀⣿⣇⠀⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣸⣿⣿⡛⣿⣿⣿⢹⡿⢗⠍⠀⠀⠀⠀⠀⠀⠀⠉⠛⠋⣿⣆⠀⠀⢽⠀⠀⠀⣻⣿⠀⠀⠈⣿⣿⠁⠀⠀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠀⠠⠃⢠⣶⣶⣶⣶⣶⣷⣶⣄⣤⣴⣿⣿⡇⠀⢸⠀⠀⠄⠛⠙⠂⠀⠀⣿⡏⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣿⣿⣿⠿⠿⢯⣿⡄⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣇⠀⠈⠀⠀⠀⠀⠀⠨⠄⠀⠸⠁⠀⢀⣿⣛⣛⣛⣛⣛⣛⣛⣛⣛⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⡿⠛⠛⠛⠛⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿ ⠈⢿⣿⡇⠀⠀⠈⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠘⠃⠒⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣛⣓⣲⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿ ⡧⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠩⠉⠉⠛⣿⣿⡿⠿⠿⢿⢁⣷⠀⠀⢀⠀⠀⠀⠀⠀⠠⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿ ⠀⠰⠟⠁⠀⠀⠀⠘⣤⠀⠀⠠⣿⣿⣷⣶⣶⣿⣦⣿⣿⣷⣦⣤⣼⣿⣿⣧⠀⠀⣷⢰⠆⠀⠀⠀⠀⠀⢠⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⡇⠀⠀⠀⠀⠀⢀⣠⣤⣾⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⡀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⡇⢸⠆⠀⠀⠀⠀⣠⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⡀⠀⠀⠀⠈⢻⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠘⣿⣿⣿⣿⣹⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠀⠀⢠⣤⣾⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠁⣴⣶⣤⡄⠀⠛⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣧⡇⢸⠀⠀⢸⣿⠟⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡇⠀⠀⢀⣨⣿⣿⡁⠘⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠀⠀⢸⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⠘⣿⣿⠿⣿⣾⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⡇⡇⢸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⢀⣿⣷⣤⣈⡉⠰⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠉⠉⣫⣿⣿⡇⢻⣏⠉⠛⠿⣿⣧⣅⡸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡇⠀⠀⠸⣿⣿⢿⣿⡿⠀⠙ ⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣶⣷⣦⣠⣀⣀⣾⣿⣿⣿⡇⠸⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢰⣆⣿⣿⣧⠻⠿⠆⠀ ⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣛⣛⣵⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠁⠀⣸⡿⢿⣿⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠛⠉⠉⠉⠉⢉⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⢸⠀⠀⣿⡇⠀⢸⣿⣗⣾⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡜⣷⣦⠀⠀⠀⢀⣾⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢸⠀⢸⣿⣇⠀⣸⣿⣿⣿⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⣿⣿⡇⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⢸⠀⢸⣿⣿⣿⣿⡏⣿⡟⠃⠀ ⠀⠖⠲⣶⠏⢶⠄⠰⠶⠶⠖⠀⠀⢹⣿⠁⠀⠀⠈⢿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⠿⢟⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⠀⣼⣿⣿⡿⠿⣧⣿⡇⠀⠀ ⣰⠿⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢸⡇⡄⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⣿⡇⠈⠉⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠰⠒⠂⠰⠶⠿⠿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠃⠀⠀⠀⠤⠀⠈⠙⠀ ⠗⠓⢻⣿⣷⣉⠀⣿⡇⡄⠀⠀⠸⣇⣿⣿⣿⠏⢿⡿⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣤⣤⣤⣤⣤⣤⠤⠧⠽⠿⠿⠛⠛⠀⠀⠀⠀⢀⣀⣀⣀⣀⣠ ⠀⠀⢸⣿⣿⣿⢳⣿⡇⠃⠀⠀⢀⣯⣿⠿⣯⣤⣼⣷⣤⣄⡄⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⡇⠀⠀⢀⢸⣿⣿⣿⣿⣿⡿⠿⠿⠿⠟⠛⠛⠛⠛⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⢠⣾⣿⣿⣿⡇⣀⣤⣾⣿⠏⡵⠟⠋⠉⠙⠻⣿⣿⣿⣶⣄⠀⠀⠀⣇⠀⠀⠀⣿⡇⠀⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣸⣿⣿⡛⣿⣿⣿⡹⣿⢗⠕⠀⠀⠀⠀⠀⠀⠀⠉⠛⠋⣿⣆⠀⠀⢾⠀⠀⠀⣿⣿⠀⠀⠀⣿⣿⠀⠀⠀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣤⣤⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠀⢠⠊⢠⣶⣶⣶⣶⣶⣶⣶⣀⣠⣴⣿⣿⡇⠀⢸⠀⠀⠄⠛⠙⠂⠀⠀⣿⡏⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣿⣿⣿⠿⠿⢯⣿⣄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣇⠀⠈⠀⠀⠀⠀⠀⠨⠄⠀⠸⠁⠀⢀⣿⣛⣛⣛⣛⣛⣛⣛⣛⣛⠛⠛⠛⠛⢛⣿⣿⣿⣿⣿⡿⠛⠛⠛⠛⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿ ⠈⢿⣿⡇⠀⠀⠈⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠘⠃⠒⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣛⣒⣲⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿ ⡇⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠩⡉⠉⠛⣿⣿⡿⠿⠿⢿⢃⣷⠀⠀⢀⡀⠀⠀⠀⠀⠤⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⠀⠸⠟⠁⠀⠀⠀⠘⣦⠀⠀⢠⣿⣿⣷⣴⣶⣷⣦⣿⣿⣷⣦⣤⣼⣾⣿⣧⠀⠀⣷⢰⡆⠀⠀⠀⠀⠀⢠⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⡇⠀⠀⠀⠀⠀⢀⣠⣤⣾⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⡀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⡇⢸⠆⠀⠀⠀⠀⣠⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⡀⠀⠀⠀⠈⢻⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠘⣿⣿⣿⣿⣻⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠀⠀⢠⣤⣾⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠁⣴⣷⣤⡄⠀⠙⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣧⡇⢸⠀⠀⢸⣿⠿⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡇⠀⠀⢀⣘⣿⣿⡁⠘⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣶⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⡟⡇⢸⠀⠀⢸⣗⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⠘⣿⣿⠿⣿⣾⣿⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⡇⡇⢸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⢀⣿⣷⣤⣈⡉⠠⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠈⠉⢩⣿⣿⡇⢻⣏⠉⠛⠿⣿⣧⣅⡼⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡇⠀⠀⢸⣿⣿⢿⣿⡿⠀⠙ ⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣶⣷⣦⣤⣀⣀⣾⣿⣿⣿⡇⠸⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢰⣆⣿⣿⣦⠻⠿⠄⠀ ⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣛⣛⣵⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠃⠀⣸⡿⢿⣿⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠛⠉⠉⠉⠉⢉⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⢸⠀⠀⣿⡇⠀⢸⣿⣷⣾⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡜⣷⣦⠀⠀⠀⢀⣾⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢸⠀⢸⣿⣇⠀⣸⣿⣿⣿⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⣿⣿⡇⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⢸⠀⢸⣿⣿⣿⣿⡟⣿⡟⠃⠀ ⠀⠖⠶⣶⠏⢶⠄⠰⠶⠶⠖⠀⠀⢹⣿⠁⠀⠀⠈⢿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣽⠿⢟⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⠀⣼⣿⣿⡿⠿⢷⣿⡇⠀⠀ ⣰⠿⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢸⣟⣄⣿⣿⣿⣿⣗⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⢸⡇⠈⠉⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠰⠖⠀⠰⠶⠿⠿⡿⣿⣿⣿⣿⣿⣿⣿⠋⠃⠀⠀⠀⠤⠀⠈⠙⠀ ⠗⠒⢻⣿⣷⣉⠀⣿⡇⡄⠀⠀⠈⡗⣿⣿⣿⠟⢻⡿⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣹⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣶⣤⣤⣤⣤⣤⣤⠤⠧⠼⠿⠿⠟⠛⠂⠀⠀⠀⢀⣀⣀⣀⣀⣠ ⠀⠀⢸⣿⣿⣿⠇⣿⡇⠃⠀⠀⢀⣧⣾⡿⣯⣤⣬⣿⣤⣄⡀⠀⠀⠀⠀⠀⣧⠀⠀⠀⢿⡧⠀⠀⠀⢸⣿⣿⣿⣿⣿⡿⠿⠿⠿⠟⠛⠛⠛⠛⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⢠⣾⣿⣿⣿⡇⣀⣤⣾⣿⠏⢡⠟⠛⠉⠙⠻⣿⣿⣿⣦⣄⠀⠀⠀⢻⠀⠀⠀⢸⣿⠀⠀⢿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣸⣿⣿⡛⣿⣿⣿⡹⣿⢗⡞⠀⠀⠀⠀⠀⠀⠈⠉⠛⠋⣻⣆⠀⠀⢺⠀⠀⠀⢸⣿⠀⠀⠀⣿⣿⠁⠀⠀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣤⣄⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⢁⠎⠀⣶⣶⣶⣶⣶⣶⣦⣀⣠⣤⣿⣿⣧⠀⢸⠀⠀⠄⠚⠙⠂⠀⠀⢿⡏⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣿⣿⣿⠿⠿⢿⣽⢅⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣇⠀⠀⠀⠀⠀⠀⠀⠨⠄⠀⠈⠀⠀⢀⣿⣛⣛⣛⣛⣛⣛⣛⣛⡛⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⠛⠛⠛⠛⠻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠈⢿⣿⡇⠀⠀⠘⠀⠅⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠘⠃⠲⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣛⣒⣲⣆⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿ ⡇⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⣙⠉⠙⠛⣿⣿⣿⠿⠿⢿⡇⣿⡀⠀⢐⡀⠀⠀⠀⠀⠠⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿ ⠀⠨⠿⠋⠀⠀⠀⠐⢴⠀⠀⠀⣶⣿⣷⣴⣦⣶⣦⣿⣿⣧⣤⣤⣼⣿⣿⣧⠀⠀⣷⢰⡆⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡇⠀⠀⠀⠀⠀⠀⣠⣤⣾⣇ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⡀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⣿⢸⡇⠀⠀⠀⠀⣠⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⡀⠀⠀⠀⠈⢹⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠘⣿⣿⣿⣿⣻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢸⠁⡄⢀⣤⣾⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠉⣴⣶⣦⡄⠀⠙⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣧⡇⢸⠀⠁⢸⣿⠿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡇⠀⠀⢀⣨⣿⣿⡁⠘⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠀⠀⢸⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⠘⣿⣿⠿⣿⣾⣿⠆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⡇⢸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⢀⣾⣷⣤⣈⡁⠰⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠉⠛⢛⣿⣿⡏⢻⣏⠉⠛⠿⣿⣧⣇⣸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡇⠀⠀⠸⣿⣿⢿⣿⡿⠀⠙ ⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣶⣷⣦⣀⣀⡀⣴⣿⣿⣿⡇⠘⠁⠀⠀⠀⠀⠉⠛⠁⠀⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢠⣆⣿⣿⣧⠻⠿⠆⠀ ⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣟⣛⣛⣪⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡇⠀⢸⡿⢿⣿⣇⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠛⠉⠉⠉⠉⢉⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⣿⡇⠀⢰⣿⣿⣾⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡜⣿⣦⠀⠀⠀⠀⣼⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⢸⠀⢰⣿⣇⠀⣸⣿⣿⣿⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⢿⣿⡇⠀⠀⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢸⠀⢸⣿⣿⣿⣿⡟⣿⡟⠃⠀ ⠀⠖⠲⣶⠏⢶⠄⠰⠶⠶⠖⠀⠀⢸⣿⡇⠀⠀⠀⢿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⠿⢟⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⠀⣸⣿⣿⣿⠿⢷⣿⡇⠀⠀ ⣰⠿⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢸⣟⣀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⣿⡇⠈⠉⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠰⠖⠀⠰⠾⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠃⠀⠀⠀⠤⠀⠈⠙⠀ ⠗⠓⢻⣿⣷⣉⠀⣿⡏⡄⠀⠀⠈⣧⣿⣿⣿⠟⢻⡿⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣤⣤⣤⣤⣤⣤⠤⠧⠽⠿⠿⠛⠛⠂⠀⠀⠀⢀⣀⣀⣀⣀⣠ ⠀⠀⢸⣿⣿⣿⢃⣿⡇⠃⠀⠀⢀⣧⣿⡿⣯⣤⣼⣿⣤⣤⡄⠀⠀⠀⠀⠀⣇⠀⠀⠀⣿⡇⠀⠀⢀⢸⣿⣿⣿⣿⣿⡿⠿⠿⠿⠟⠛⠛⠛⠛⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⢀⣾⣿⣿⣿⡇⣀⣤⣾⣿⠏⢡⠟⠛⠉⠛⠻⣿⣿⣿⣦⣄⠀⠀⠀⢿⠀⠀⠀⣿⣷⠀⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣼⣿⣿⡛⣿⣿⣿⡹⣿⢗⡾⠀⠀⠀⠀⠀⠀⠈⠉⠛⠋⣿⣆⠀⠀⢸⠀⠀⠀⢻⣿⠀⠀⠈⣿⣿⠁⠀⠀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣤⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⢀⠎⠀⣶⣶⣶⣶⣶⣶⣦⣀⣠⣤⣿⣿⣧⠀⢸⠀⠀⠄⢛⠙⠂⠀⠀⢿⠏⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣿⣿⣿⠿⠿⢿⣽⢅⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠈⠀⠀⠀⠀⠀⠨⠄⠀⠀⠀⠀⢀⣿⣛⣛⣛⣛⣛⣛⣛⣛⣛⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⠛⠛⠛⠛⠻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠈⢿⣿⡇⠀⠀⠘⠀⠅⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠀⠀⠘⠃⠲⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣛⣒⣲⢺⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿ ⡇⢸⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣉⠉⠉⠛⣿⣿⣿⠿⠿⢿⡇⣿⡀⠀⢐⡀⠀⠀⠀⠀⠠⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⠀⠨⠿⠋⠀⠀⠀⠐⢴⠀⠀⠀⣶⣿⣷⣴⣦⣶⣦⣿⣿⣧⣤⣤⣸⣿⣿⣧⠀⠀⣷⢰⡆⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡇⠀⠀⠀⠀⠀⠀⣠⣤⣾⣇ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⡀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣿⢸⡇⠀⠀⠀⠀⣠⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⡀⠀⠀⠀⠈⢹⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠘⣿⣿⣿⣿⣻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠀⡄⢀⣤⣾⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠉⣴⣶⣤⣄⠀⠙⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣧⡇⢸⠀⠀⢸⣿⠿⣣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡇⠀⠀⢀⣈⣿⣿⡁⠘⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣭⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡇⢸⠀⠀⢸⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⠘⣿⣿⠿⣿⣾⣿⠆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⡇⡇⢸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⢀⣿⣿⣤⣈⡉⠰⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⠀⠀⠀⠀⠈⠙⠛⢻⣿⣿⡇⢻⣯⠉⠛⠿⣿⣧⣇⣸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡇⠀⠀⠸⣿⣿⢿⣿⡿⠂⠙ ⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣶⣷⣤⢀⡀⠀⣴⣿⣿⣿⡇⠘⠈⠀⠀⠀⠀⠉⠋⠁⠀⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢠⣆⣿⣿⣧⠻⠿⠆⠀ ⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣛⣛⣫⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠃⠀⢸⡿⢿⣿⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠛⠉⠉⠉⠉⢉⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⣿⡇⠀⢰⣿⣷⣾⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡜⣿⣦⠀⠀⠀⠀⣼⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢸⠀⢰⣿⣇⠀⣰⣿⣿⣿⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢸⠀⢸⣿⣿⣿⣿⡟⣿⡟⠃⠀ ⠀⠖⠲⣶⠏⢶⠄⠰⠶⠶⠖⠀⠀⢸⣿⡇⠀⠀⠀⢿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣽⠿⢟⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⢸⠀⣸⣿⣿⣿⠿⣷⣿⡇⠀⠀ ⣰⡿⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢸⣇⡀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⣿⡇⠈⠉⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠰⠖⠀⠰⠾⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠃⠀⠀⠀⠤⠀⠈⠙⠀ ⠗⠓⢻⣿⣷⣉⠀⣿⡏⡄⠀⠀⠘⣧⣿⣿⣿⠟⢻⡿⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣤⣤⣤⣤⣤⣤⠤⠧⠽⠿⠿⠛⠛⠂⠀⠀⠀⢀⣀⣀⣀⣀⣀ ⠀⠀⢸⣿⣿⣿⢃⣿⡇⠇⠀⠀⢀⣯⣿⠿⣯⣤⣼⣿⣤⣤⡄⠀⠀⠀⠀⠀⣧⠀⠀⠀⣿⡇⠀⠀⢀⢸⣿⣿⣿⣿⣿⡿⠿⠿⠿⠟⠛⠛⠛⠛⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⢀⣾⣿⣿⣿⡇⣀⣠⣾⣿⠏⢡⠞⠋⠉⠙⠻⣿⣿⣿⣶⣄⠀⠀⠀⢿⠀⠀⠀⣿⣷⠀⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣸⣿⣿⡛⣿⣿⣿⡹⣿⢗⡞⠀⠀⠀⠀⠀⠀⠀⠉⠛⠋⣿⣆⠀⠀⢸⠀⠀⠀⢻⣿⠀⠀⠀⣿⣿⠁⠀⠀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣤⣠⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⢀⠎⠀⣶⣶⣶⣶⣶⣶⣶⣄⣠⣤⣿⣿⣷⠀⢸⠀⠀⠄⢛⠙⠂⠀⠀⡿⠏⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣿⣿⣿⠿⠿⢿⣽⢅⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠈⠀⠀⠀⠀⠀⠨⠄⠀⠀⠀⠀⢀⣿⣛⣛⣛⣛⣛⣛⣛⣛⡛⠛⠛⠛⠛⢛⣿⣿⣿⣿⣿⣿⠛⠛⠛⠛⠻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠈⢿⣿⡏⠀⠀⠘⠀⠅⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠀⠀⠘⠃⠲⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣛⣒⣲⢺⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿ ⡇⢸⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠙⡉⠉⠛⣿⣿⣿⠿⠿⢿⡇⣿⠀⠀⢐⡀⠀⠀⠀⠀⠠⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⠀⠨⠿⠋⠀⠀⠀⠐⢰⠀⠀⠀⣶⣾⣷⣴⣶⣶⣦⣿⣿⣧⣤⣄⣸⣿⣿⣧⠀⠀⣷⢰⡆⠀⠀⠀⠀⠀⢀⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡇⠀⠀⠀⠀⠀⢀⣠⣤⣾⣇ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣶⡀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣿⢸⡇⠀⠀⠀⠀⣠⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⡀⠀⠀⠀⠈⢹⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠈⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠀⡄⢀⣤⣾⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠁⣴⣶⣤⣄⠀⠙⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣧⡇⢸⠀⠀⢸⣿⠿⣣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡇⠀⠀⢀⣘⣿⣿⡁⠘⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣯⣭⣭⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠀⠀⢸⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⠘⣿⣿⠿⣿⣾⣿⠆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡇⢸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⢀⣿⣷⣤⣈⠁⠠⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⠀⠀⠀⠀⠈⠻⠿⢿⣿⣿⡿⢹⣿⠉⠛⠻⢿⣧⣇⣸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡇⠀⠀⠘⣿⣿⢿⣿⡿⠂⠙ ⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣶⣷⣤⡀⠀⠀⣰⣿⣿⣿⡇⠘⠁⠀⠀⠀⠀⠉⠋⠁⠀⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢠⣆⣿⣿⣧⠹⠿⠆⠀ ⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣛⣚⣩⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠃⠀⢸⡿⢿⣿⣏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠛⠉⠉⠩⠉⢉⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢸⠀⠀⣾⡇⠀⢰⣿⣷⣺⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡜⣿⣦⠀⠀⠀⠀⣼⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢸⠀⢰⣿⣇⠀⣸⣿⣿⣿⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⢿⣿⡇⠀⠀⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢸⠀⢸⣿⣿⣿⣿⡟⣿⡟⠃⠀ ⠀⠖⠲⣶⠏⢶⠄⠰⠶⠶⠖⠀⠀⢸⣿⡇⠀⠀⠀⢿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣽⠿⢟⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⢸⠀⢸⣿⣿⣿⠿⢷⣿⣿⠀⠀ ⣰⡿⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢸⡇⣄⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⣿⡇⠈⠉⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠰⠖⠀⠰⠾⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠃⠀⠀⠀⠤⠀⠈⠙⠀ ⠗⠓⢻⣿⣷⣉⠀⣿⡇⡄⠀⠀⠸⣏⣿⣿⣿⠏⣻⡗⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣶⣤⣤⣤⣤⣤⣤⠤⠧⠼⠿⠿⠛⠛⠂⠀⠀⠀⢀⣀⣀⣀⣀⣀ ⠀⠀⢸⣿⣿⣿⢃⣿⡇⠃⠀⠀⢀⣧⡿⣿⣿⣦⣼⣷⣤⣤⡀⠀⠀⠀⠀⠀⣇⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠛⠛⠛⠛⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⢀⣾⣿⣿⣿⡇⣀⣤⣾⡿⢏⠾⠋⠉⠀⠉⠛⢿⣿⣿⣷⣄⠀⠀⠀⢿⠀⠀⠀⣿⡇⠀⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⢸⣿⣿⡛⣿⣿⣿⢹⡿⢫⠃⠀⠀⠀⠀⠀⠀⠀⠈⠉⠋⣿⣆⠀⠀⢹⠀⠀⠀⣿⣿⠀⠀⠀⣿⣿⠁⠀⠀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣤⣤⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶ ⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠀⠰⠁⠰⣿⣿⣿⣿⣿⣿⣷⣤⣴⣶⣿⣿⡇⠀⢸⠀⠀⠄⠛⠛⠂⠀⠀⡿⠋⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿ ⣿⣿⣿⣿⠿⠿⢯⡽⣤⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣧⠀⠀⠀⠀⠀⠀⠀⠨⠄⠀⠀⠀⠀⢀⣿⣛⣛⣛⣛⣛⣛⣛⣛⡛⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⡿⠛⠛⠛⠛⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠈⢻⣿⡟⠀⠀⠘⠀⠂⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠘⠃⠲⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣛⣒⣲⢺⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⡇⢸⣿⡋⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠰⠄⠀⠉⣿⣿⡿⠛⠛⢻⢇⣿⠀⠀⢀⡀⠀⠀⠀⠀⠠⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿ ⠀⠠⠿⠋⠀⠀⠀⠈⣴⠀⠀⠰⣿⣿⣿⣾⣷⣿⣧⣿⣿⣿⣦⣤⣾⣿⣿⣧⠀⠀⣷⢰⡆⠀⠀⠀⠀⠀⢠⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡇⠀⠀⠀⠀⠀⢀⣠⣤⣾⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⡄⠀⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⡏⢸⠇⠀⠀⠀⠀⣠⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⡀⠀⠀⠀⠈⢻⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣽⡙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠀⠀⢀⣤⣾⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠁⣴⣶⣤⡄⠀⠛⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡇⢸⠀⠀⢸⣿⠿⣣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡇⠀⠀⢀⣘⣿⣿⡀⠘⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣽⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⡇⢸⠀⠀⢸⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⠘⣿⣿⠿⣷⣾⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⡇⡇⢸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⢀⣿⣧⣤⣈⠁⠠⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠉⠙⣻⣿⣿⡇⢻⣯⠉⠛⠻⢿⣧⣅⣸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡇⠀⠀⠸⣿⡿⢿⣿⡿⠀⠙ ⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣷⣴⣦⣀⠀⠐⣺⣿⣿⣿⡇⠘⠀⠀⠀⠀⠀⠉⠋⠁⠀⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢠⡆⣿⣿⣦⠻⠷⠆⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣋⣉⣵⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠃⠀⢸⡿⢿⣿⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡛⠋⠉⠀⠀⠉⢩⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢸⠀⠀⣿⡇⠀⢰⣿⣇⣾⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡜⣿⣆⠀⠀⠀⢠⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⢸⠀⢸⣿⣇⠀⣸⣿⣿⣿⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⣿⣿⠆⠀⠀⢸⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢸⠀⢸⣿⣿⣿⣿⡟⣿⡟⠂⠀ ⠀⠖⠲⣶⠏⢶⠄⠰⠶⠶⠖⠀⠀⢻⣿⠀⠀⠀⠈⠿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣽⠿⢟⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⢸⠀⣼⣿⣿⣿⠿⣷⣿⡇⠀⠀ ⣰⠿⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢸⡇⣄⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⣿⡇⠈⠉⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠰⠖⠀⠰⠶⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠃⠀⠀⠀⠤⠀⠈⠙⠀ ⠗⠓⢻⣿⣷⢉⠀⣿⡇⡄⠀⠀⢸⣇⣿⣿⣿⠏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣶⣦⣤⣤⣤⣤⣤⣤⠤⠧⠿⠿⠿⠛⠛⠂⠀⠀⠀⢀⣀⣀⣀⣀⣠ ⠀⠀⢸⣿⣿⣿⢣⣿⡇⠇⠀⠀⢸⣷⣿⣿⣷⣶⣾⣷⣦⣤⡀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⠿⠿⠿⠿⠟⠛⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⢀⣾⣿⣿⣿⣇⣄⣤⣾⣟⣿⠛⠉⠀⠀⠀⠙⠻⢿⣿⣷⣄⠀⠀⠀⣵⠀⠀⠀⣿⡇⠀⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣸⣿⣿⡛⣿⣿⣿⠿⠟⡗⠁⣀⣀⣀⣀⣀⣀⡀⠀⠉⢫⣿⣧⡀⠀⢸⠀⠀⠀⣿⣿⠀⠀⠀⣿⣿⠁⠀⠀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣤⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾ ⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠘⠀⢸⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⡇⠀⢸⠀⠀⠄⢛⠙⠂⠀⠀⠿⠋⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿ ⣿⣿⣿⣿⠿⠿⣯⡝⠦⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣧⠀⠈⠀⠀⠀⠀⠀⠨⠄⠀⠀⠀⠀⢀⣿⣛⣛⣛⣛⣛⣛⣛⣛⡛⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⡿⠛⠛⠛⠛⠻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⢻⣿⣟⠀⠀⠈⠀⠀⠀⠀⠀⠀⠼⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⢿⡟⠀⠀⠘⠃⠲⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣛⣒⣲⢺⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⡷⠸⣿⣏⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡄⢛⢲⣤⢸⣿⣿⣟⠀⢉⣻⢠⣷⠀⠀⢀⡀⠀⠀⠀⠀⠠⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⠀⠠⠟⠋⠀⠀⠀⠈⢶⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣧⠀⠀⣷⢰⡆⠀⠀⠀⠀⠀⢠⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡇⠀⠀⠀⠀⠀⢀⣤⣴⣾⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠄⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⡏⢸⠇⠀⠀⠀⠀⣠⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⡀⠀⠀⠀⠀⢹⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣷⣷⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠀⠀⢀⣤⣾⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠁⣶⣿⣦⡄⠀⠙⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡇⢸⠀⠀⢸⣿⠿⣣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡇⠀⠀⢀⣼⣿⣿⡀⠘⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠀⠀⢸⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⠘⣿⣿⠿⣿⣾⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⡇⡇⢸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⢀⣿⣷⣤⣈⡁⠰⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡄⠀⡀⠀⠀⠀⠀⢉⣽⣿⣿⡇⢿⡏⠉⠙⠻⢿⣧⣅⡸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡇⠀⠀⠸⣿⣻⢿⣿⡟⠀⠙ ⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣽⣷⣦⣄⡜⣿⣿⣿⣿⡇⠘⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢰⣆⣿⣿⣦⠻⠿⠆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣉⣩⣴⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠃⠀⣸⡿⢿⢿⣅⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡛⠉⠈⠀⠀⠈⢩⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⢸⠀⠀⣿⠇⠀⢸⣿⣇⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡸⣿⣆⠀⠀⠀⢠⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢸⠀⢸⣿⣆⠀⣼⣿⣿⣿⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⣿⠀⠀⠀⢺⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢸⠀⢸⣿⣿⣿⣿⡿⣿⡟⠃⠀ ⠀⠖⠲⣶⠏⢶⠄⠰⠶⠶⠖⠀⠀⢿⣿⠀⠀⠀⠈⠝⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣽⠿⢟⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⢸⠀⣾⣿⣿⣿⠿⣷⣿⡇⠀⠀ ⣰⡿⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢸⡇⡀⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⣿⡇⠈⠉⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠰⠖⠀⠰⠶⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠃⠀⠀⠀⠤⠀⠈⠙⠀ ⠗⠓⢻⣿⣷⢉⠀⣿⡇⡄⠀⠀⠘⡇⣿⣿⣿⠏⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣶⣶⣤⣤⣤⣤⣤⣤⠤⠧⠼⠿⠿⠟⠛⠂⠀⠀⠀⢀⣀⣀⣀⣀⣠ ⠀⠀⢸⣿⣿⣿⢣⣿⡇⠃⠀⠀⢀⣧⣿⣿⡷⠶⠾⣷⣦⣤⣂⠀⠀⠀⠀⠀⡅⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⡿⠿⠿⠿⠟⠛⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⢀⣾⣿⣿⣿⡇⣠⣤⣾⣿⡿⠋⠁⠀⠀⠀⠈⠙⠻⣿⣷⣦⠀⠀⠀⢡⠀⠀⠀⣿⣇⠀⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⢸⣿⣿⡛⣿⣿⣿⠟⠋⡟⠀⣠⣤⣤⣤⣤⣤⣄⠀⠀⣉⣿⣧⡀⠀⢼⠀⠀⠀⣿⣿⠀⠀⠀⣿⣿⠁⠀⠀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾ ⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠈⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⠀⠀⠄⢛⠙⠂⠀⠀⠿⠋⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿ ⣿⣿⣿⣿⠿⠿⢯⡽⠐⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣧⠀⠈⠀⠀⠀⠀⠀⠨⠄⠀⠀⠀⠀⢀⣿⣛⣛⣛⣛⣟⣛⣛⣛⡛⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⡿⠛⠛⠛⠛⠻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⡀⠹⣿⣏⠀⠀⠈⠀⠀⠀⠀⠀⠀⠂⠛⣛⠋⠛⢻⣿⣿⣿⠿⣿⣿⣿⡟⠀⠀⠘⠃⠲⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣛⣒⡲⣦⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⡷⠈⣿⣟⡀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣧⣩⣭⣷⣌⣿⣿⣯⡄⠠⣽⢡⣷⠀⠀⢐⡀⠀⠀⠀⠀⠠⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠰⠿ ⠀⠠⠼⠋⠀⠀⠀⠀⢻⡀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣧⠀⠀⣷⢰⡆⠀⠀⠀⠀⠀⢀⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡇⠀⠀⠀⠀⠀⢠⣴⣶⣿⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠆⠀⠀⢻⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⡟⢸⠇⠀⠀⠀⠀⣠⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⡀⠀⠀⠀⠀⢿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠀⠀⢀⣤⣾⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣾⣿⣶⠄⣈⠉⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣟⡯⣭⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣧⡇⢸⠀⠀⢸⣿⠿⣣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡇⠀⠀⣠⣬⣿⣧⡀⢉⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡇⢸⠀⠀⢸⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⠹⣿⡿⠻⣿⣿⠿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡀⠀⠀⠈⠻⠿⢿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⡇⡇⢸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⣰⣿⣷⣤⣄⡀⢲⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡄⠸⣄⡀⠀⠀⢀⣤⣾⣿⣿⡇⢿⠏⠉⠙⠻⢿⣧⣇⡼⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡇⠀⠀⢹⣿⡛⢿⣿⠛⠀⠉ ⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣶⣶⡾⡿⣿⣿⣿⡇⠈⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢰⣼⣿⣿⡆⠻⠷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣯⣥⣬⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠃⠀⣾⠿⠿⢿⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡋⠉⠀⠀⠀⠀⣩⣽⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⢸⠀⢰⣿⠂⠀⢾⣿⣯⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡸⣿⣆⠀⠀⠀⢠⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢸⠀⣼⣿⣄⣀⣾⣿⣿⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⣿⠀⠀⠀⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢸⠀⣿⣿⣿⣿⣿⢿⣿⡙⠀⠀ ⠀⠖⠶⣶⠏⢶⠄⠰⠶⠶⠖⠀⠀⢿⣿⠀⠀⠀⠈⢝⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣽⠿⢟⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⢸⠀⣿⣿⣿⡿⠿⣿⣿⡇⠀⠀ ⣰⡿⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢸⡇⣄⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⣿⡇⠈⠉⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠰⠖⠀⠰⠶⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠃⠀⠀⠀⠤⠀⠈⠙⠀ ⠗⠓⢻⣿⣷⢉⠀⣿⡇⡄⠀⠀⠨⣇⣿⣿⣿⠏⢻⣯⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⠤⠧⠼⠿⠿⠟⠛⠂⠀⠀⠀⢀⣀⣀⣀⣀⣀ ⠀⠀⢸⣿⣿⣿⢣⣿⡇⠃⠀⠀⠀⣧⣾⣿⡿⠶⠾⢷⣶⣤⣄⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⡿⠿⠿⠿⠟⠛⠛⠛⠛⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⢀⣾⣿⣿⣿⡇⣀⣤⣴⣿⣿⠟⠁⠀⠀⠀⠀⠉⠛⢿⣿⣦⡀⠀⠀⢵⠀⠀⠀⣿⣇⠀⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⢸⣿⣿⡛⣿⣿⣿⠿⠛⡱⠁⣠⣤⣤⣤⣤⣤⣤⡀⢀⣈⣿⣷⣄⠀⢸⠀⠀⠀⣿⣿⠀⠀⠀⣿⣿⠁⠀⠀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣤⣤⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠁⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⠀⠀⠄⢛⠙⠂⠀⠀⡿⠋⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣿⣿⣿⡿⠿⢯⡩⠐⠂⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣧⠀⠈⠀⠀⠀⠀⠀⠨⠄⠀⠀⠀⠀⢀⣿⣛⣛⣛⣛⣟⣛⣛⣛⡛⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⠛⠛⠛⠛⠻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⡈⠹⣿⣯⠀⠀⠀⠁⠀⠀⠀⠀⠀⠘⠈⣩⣅⡀⢩⣿⣿⣿⡿⠿⣿⡇⡿⠀⠀⠘⠃⠒⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣛⣒⡲⡆⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣿⠀⣿⣏⠀⠀⠀⠀⣀⠀⠀⢠⣴⣾⣿⣤⣭⣽⣦⣿⣿⣿⡥⠤⣼⣇⣿⡀⠀⢐⡀⠀⠀⠀⠀⠠⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣱⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⠿ ⠁⠠⠼⠋⠀⠀⠀⠀⠸⣄⡀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣧⠀⠀⣷⢰⡆⠀⠀⠀⠀⠀⢀⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠤⢶⣾⣿⣦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠇⠀⠀⠹⣿⣿⣿⣿⣻⠻⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⣿⢸⡇⠀⠀⠀⠀⣠⣾⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠠⡀⠀⡀⠀⠀⢿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠁⠀⢀⣤⣾⣿⢏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠐⣿⣿⣶⠀⣀⠉⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣷⣦⣍⣉⣭⣿⣿⣿⣿⣿⣿⣿⣿⣧⡇⢸⠀⠀⢸⣿⠿⣣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡇⠀⠀⣠⣼⣿⣧⡀⢉⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠀⠀⢸⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⠙⣿⡟⠻⣿⡿⠟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠄⠀⠀⠈⠻⠿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⡇⡇⢸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⣸⣿⣷⣤⣄⡀⢲⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠰⣄⡀⠀⠀⢀⣠⣾⣿⣿⡇⣿⡏⠉⠙⠻⢿⣧⣇⡸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡇⠀⠀⢹⣿⣟⢿⣿⠋⠀⠉ ⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣷⣶⣼⣿⣿⣿⣿⡇⠘⠀⠀⠀⠀⠀⠉⠋⠁⠀⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣼⣿⣿⡎⠛⠗⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣯⣉⣡⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡇⠀⣿⠛⠿⢿⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡋⠉⠀⠀⠀⠈⣩⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠁⢸⣿⠀⠀⢿⣿⣯⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡸⣿⣆⠀⠀⠀⢠⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⣾⣿⣄⣀⣿⣿⣿⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⣿⠀⠀⠀⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢸⠀⣿⣿⣿⣿⣿⢻⣿⠙⠀⠀ ⠀⠖⠶⣶⠏⢶⠄⠰⠶⠶⠖⠀⠀⣿⣿⠀⠀⠀⠈⢝⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣽⠿⢟⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢸⢀⣿⣿⣿⡿⠻⣿⣿⡇⠀⠀ ⣰⡿⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢸⡇⡠⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⣿⡇⠈⠉⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠰⠖⠀⠰⠶⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠃⠀⠀⠀⠤⠀⠈⠙⠀ ⠗⠒⢻⣿⣷⢉⠀⣿⡇⡄⠀⠀⠘⡇⢿⣿⣿⠏⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⠤⠧⠼⠿⠿⠛⠛⠂⠀⠀⠀⢀⣀⣀⣀⣀⣀ ⠀⠀⢸⣿⣿⣿⢣⣿⡇⠃⠀⠀⠀⣧⣼⣿⡿⠶⠾⢷⣦⣤⣄⠀⠀⠀⠀⠀⡅⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⡿⠿⠿⠿⠟⠛⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⢀⣾⣿⣿⣿⡇⣀⣤⣴⣿⣿⠛⠁⠀⠀⠀⠀⠉⠛⢿⣿⣦⠀⠀⠀⢰⠀⠀⠀⣿⡇⠀⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⢸⣿⣿⡛⣿⣿⣿⠿⠛⡱⠁⣠⣤⣤⣤⣤⣤⣤⡀⠀⣈⣿⣷⣄⠀⢸⠀⠀⠀⣿⣿⠀⠀⠀⣿⣿⠁⠀⠀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣴⣶⣤⣤⣤⣄⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠁⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⠀⠀⠄⢛⠙⠂⠀⠀⡿⠋⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣿⣿⣿⠿⠿⢯⡉⠐⠂⠀⠀⠀⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣧⠀⠀⠀⠀⠀⠀⠀⠨⠄⠀⠀⠀⠀⠀⣿⣛⣛⣛⣛⣟⣛⣛⣛⡛⣿⡟⠛⣻⣟⣿⣿⣿⣿⣿⣿⠛⠛⠛⠛⠻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠈⠹⣿⣍⠀⠀⠀⠁⠀⠀⠀⠀⠀⠊⠈⣩⣅⡀⢩⣿⣿⣿⡿⠿⣿⡇⡿⠀⠀⠘⠃⠲⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣛⣒⡲⡂⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣷⠀⣿⣏⠀⠀⠀⠀⣀⠀⠀⢠⣴⣾⣿⣤⣭⣽⣆⣿⣿⣿⡥⠤⢼⣇⣿⡀⠀⢐⡀⠀⠀⠀⠀⠠⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣇⠀⠀⠀⠀⠀⠀⠀⠀⢰⠿ ⠀⠠⠼⠋⠀⠀⠀⠀⠸⣄⡀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣧⠀⠀⣷⢰⡆⠀⠀⠀⠀⠀⢀⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠀⠀⠀⠤⢶⣾⣿⣦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠇⠀⠀⠙⣿⣿⣿⣿⣻⠻⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⣿⢸⡇⠀⠀⠀⠀⣠⣾⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠠⡀⠀⡀⠀⠀⢿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠁⠄⢀⣤⣶⣿⢏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠐⣿⣿⣶⠀⣀⠉⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣷⣦⣍⣉⣭⣿⣿⣿⣿⣿⣿⣿⣿⣧⡇⢸⠀⠀⢸⣿⠿⣣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡇⠀⠀⣠⣼⣿⣧⡀⢉⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠀⠀⢸⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⠙⣿⡟⠻⣿⡿⠟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠈⠻⠿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⡇⡇⢸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⣸⣿⣷⣤⣄⡀⢲⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠐⣄⡀⠀⠀⢀⣠⣾⣿⣿⡇⢿⡏⠉⠙⠻⢿⣧⣇⡸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡇⠀⠀⢹⣿⡛⢿⣿⠋⠀⠉ ⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣿⣷⣴⣖⢜⢿⣿⣿⣿⡇⠈⠀⠀⠀⠀⠀⠉⠋⠁⠀⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣼⣿⣿⡎⠻⠗⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣧⣀⣡⣾⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⣾⠛⠿⢿⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡋⠉⠀⠀⠀⠈⣩⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⠀⢸⣿⠀⠀⢿⣿⣯⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡸⣿⣆⠀⠀⠀⢠⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⢸⠀⣾⣿⣄⣀⣾⣿⣿⣟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⣿⠀⠀⠀⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢸⠀⣿⣿⣿⣿⣿⢻⣿⠙⠀⠀ ⠀⠖⠲⣶⠏⢶⠄⠰⠶⠶⠆⠀⠀⣿⣿⠀⠀⠀⠈⢝⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣽⠿⢟⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢘⢸⢀⣿⣿⣿⡿⠻⣾⣿⡇⠀⠀ ⣰⠿⢿⣿⣿⣿⣿⣿⡿⠃⠀⠀⢸⡇⣀⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⣿⡇⠈⠉⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠰⠖⠀⠰⠶⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠋⠀⠀⠀⠤⠀⠈⠙⠀ ⠗⠒⢻⣿⣷⢉⠀⣿⡇⡄⠀⠀⢈⡇⢿⣿⣿⠏⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⠤⠧⠼⠿⠿⠟⠛⠂⠀⠀⠀⢀⣀⣀⣀⣀⣀ ⠀⠀⢸⣿⣿⣿⢣⣿⡇⠃⠀⠀⠀⣇⣾⣿⣿⡷⠾⠷⣶⣤⣄⡀⠀⠀⠀⠀⢇⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⡿⠿⠿⠿⠟⠛⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⢀⣾⣿⣿⣿⡇⡀⣠⣤⣴⣿⡿⠋⠀⠀⠀⠀⠈⠙⠻⣿⣦⣄⠀⠀⢸⠀⠀⠀⣿⣇⠀⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⢸⣿⣿⡛⣻⣽⣧⡿⠟⢋⠎⠀⣠⣤⣤⣤⣤⣤⣄⠀⠈⢉⣿⣆⠀⢸⠀⠀⠀⣼⣿⠀⠀⠀⣿⣿⠃⠀⠀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣴⣶⣤⣤⣤⣄⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠠⣾ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠈⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠀⠀⠄⢛⠙⠂⠀⠀⠿⠋⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿ ⣿⣿⣿⣿⡿⠿⠿⣉⠇⠛⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡁⠀⠀⠀⠀⠀⠀⠨⠄⠀⠀⠀⠀⠀⣿⣛⣛⣛⣛⣟⣛⣛⣛⡛⣿⡟⠛⣻⣟⣿⣿⣿⣿⣿⣿⠛⠛⠛⠛⠻⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠙⣿⣏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠸⢃⣩⣥⣤⠤⣽⣿⣿⣿⠻⢿⣿⢸⡏⠀⠘⠃⠲⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣛⣒⡲⡆⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣿⠀⣿⣏⠀⠀⠀⠀⠀⡀⠀⢀⣴⣿⣿⣧⣬⣭⣷⣸⣿⣿⣯⠤⢬⣿⢸⡀⠀⠐⡀⠀⠀⠀⠀⠠⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣇⠀⠀⠀⠀⠀⠀⠀⠀⠐⠟ ⠁⠀⠼⠋⠀⠀⠀⠀⠀⢧⡄⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣧⠀⠀⣷⢰⡆⠀⠀⠀⠀⠀⢀⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠀⠀⠀⠰⠾⣿⣿⣦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠀⠀⠘⢿⣿⣿⣿⣟⡟⢿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣿⢸⡇⠀⠀⠀⠀⣠⣾⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠄⢀⡀⠀⠀⢿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢸⠃⡄⢀⣤⣶⣿⢏⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣿⣿⣷⠂⣀⠈⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⣿⣷⣦⣉⣛⣛⣽⣿⣿⣿⣿⣿⣿⣿⣧⡇⢸⠀⠀⢸⣿⠿⣣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡇⠀⠀⣤⣾⣿⣧⡀⣀⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠀⠀⢸⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⠙⣿⡟⠹⣿⡿⠟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⠀⠀⠀⠛⢿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⡇⡇⢸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⣸⣿⣷⣦⣤⡀⢲⣦ ⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⢱⣄⠀⣄⡀⠀⠀⠀⣀⣴⣿⣿⡇⢻⣏⠉⠙⠻⢿⣧⣇⣸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡇⠀⠀⢹⣯⣟⢿⣿⡋⠀⠉ ⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣤⣤⣄⢻⣿⣿⣿⡇⠈⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣼⣿⣿⡆⠛⠛⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣧⣀⣠⣼⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⠛⠿⢿⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡋⠉⠀⠀⠀⠈⢩⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡇⢸⣿⠀⠀⢿⣿⣯⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡸⣿⣆⠀⠀⠀⢠⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⣾⣿⣄⣀⣿⣿⣿⣟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⣿⠀⠀⠀⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢸⠀⣿⣿⣿⣿⣿⣻⣿⠙⠀⠀ ⠀⠖⠶⣶⠏⢶⠄⠰⠶⠶⠖⠀⠀⢿⣿⠀⠀⠀⠈⠝⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣽⠿⢟⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⢸⢠⣿⣿⣿⡟⠻⣿⣿⡇⠀⠀ ⣰⡿⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢸⡇⣄⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⣿⡇⠈⠋⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠰⠒⠀⠰⠶⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠃⠀⠀⠀⠤⠀⠈⠙⠀ ⠷⠒⢻⣿⣧⢉⠀⣿⡇⡄⠀⠀⠸⡇⣿⣿⣿⠟⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⠤⠧⠽⠿⠿⠟⠛⠂⠀⠀⠀⠀⣀⣀⣀⣀⣀ ⠀⠀⢸⣿⣿⣿⢳⣿⡇⠃⠀⠀⠀⡇⣿⣿⣯⣤⡼⠷⣤⣤⣤⡀⠀⠀⠀⠀⡇⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠛⠛⠛⠛⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⢠⣾⣿⣿⣿⣇⡀⣠⣠⣤⣿⣿⡿⠋⠀⠀⠀⠀⠉⠛⢿⣷⣄⡀⠀⢳⠀⠀⠀⣿⡇⠀⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣸⣿⣿⡛⣿⣿⣧⣿⡿⠛⢩⠋⢀⣠⣤⣤⣤⣤⣄⡀⠀⠉⢻⣧⡀⢸⠀⠀⠀⣿⣿⠀⠀⠈⣿⣿⠃⠀⠀⣀⣀⣀⣀⣀⣀⣠⣀⣄⣰⣶⣤⣤⣤⣄⣤⣤⣠⣤⣠⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⠀⠀⠄⢛⠛⠂⠀⠀⡿⠋⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣿⣿⣿⠿⠿⠏⡉⡻⠘⠃⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⢀⣿⣛⣛⣛⣛⣟⣛⣛⡛⠛⣿⡟⠛⣻⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⠻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿ ⠈⠻⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⣨⣭⣤⡤⣭⣿⣿⣿⡿⣿⣿⡇⣿⠂⠘⠃⠲⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣛⣒⡲⡆⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣷⠀⣿⣏⠀⠀⠀⠀⠀⢀⠀⠀⣤⣾⣿⣿⣭⣭⣽⣎⣿⣿⣟⣃⣀⣻⡇⡏⠀⢐⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣇⠀⠀⠀⠀⠀⠀⠀⠀⠰⠛ ⠁⠀⠼⠏⠀⠀⠀⠀⠀⠸⣤⡀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣿⣾⣧⠀⠀⣶⢰⡆⠀⠀⠀⠀⠀⢀⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠀⠀⠀⠰⠿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠃⠀⠀⢻⣿⣿⣿⣟⡿⢿⣿⣿⣿⣿⣿⣿⣿⣷⡄⣿⢸⡇⠀⠀⠀⠀⣠⣾⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠄⣀⣀⠀⠀⢻⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⢿⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠁⡄⢀⣤⣶⣿⢏⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣿⣿⡿⠂⣄⠈⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⣿⣿⣯⣝⣻⣿⣯⣿⣿⣿⣿⣿⣿⣿⣧⡇⢸⠀⠁⢸⣿⠿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡇⠀⠀⣴⣾⣿⣷⡄⣀⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠀⠀⢸⣷⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⢙⣿⡟⠻⣿⡿⠟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠠⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡇⢸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⣼⣿⣷⣶⣤⡀⢲⣦ ⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⢸⣄⠀⣆⡀⠀⠀⠀⢀⣴⣿⣿⡇⢹⣯⠉⠛⠻⣿⣧⣇⣸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡇⠀⢀⢽⣿⣟⢿⣿⡋⠀⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣴⣶⣤⢿⣿⣿⣿⡇⠘⠀⠀⠀⠀⠀⠉⠛⠁⠀⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣸⣽⣿⣿⡆⠛⠛⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣯⣉⣀⣴⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⠛⠿⢿⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡛⠉⠀⠀⠀⠈⢩⣽⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡃⢸⣿⠀⠀⢿⣿⣯⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡘⣿⣆⠀⠀⠀⢠⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠁⣿⣿⣄⣀⣿⣿⣿⣟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠂⠀⠀⢸⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⢸⠀⣿⣿⣿⣿⣿⣻⣿⠉⠀⠀ ⠀⠖⠲⣶⠏⢶⠄⠰⠶⠶⠖⠀⠀⢻⣿⠀⠀⠀⠈⠝⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠿⢟⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢸⣠⣿⣿⣿⡟⠛⣿⣿⡄⠀⠀ ⣰⡿⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢸⡇⣀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⣿⡇⠈⠋⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠰⠒⠀⠰⠶⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠋⠀⠀⠀⠤⠀⠈⠙⠀ ⠗⠒⢻⣿⣧⢉⠀⣿⡇⡄⠀⠀⢸⡇⣿⣿⣿⠟⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⡤⠧⠽⠿⠿⠟⠛⠂⠀⠀⠀⠀⢀⣀⣀⣀⣀ ⠀⠀⢸⣿⣿⣿⢣⣿⡇⠃⠀⠀⠀⣇⣺⣿⣯⣤⣼⠷⣤⣤⣤⣀⠀⠀⠀⠀⡇⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠛⠛⠛⠛⠋⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⢠⣾⣿⣿⣿⡇⡀⣠⣠⣤⣿⣿⡿⠟⠁⠀⠀⠀⠈⠛⠿⣷⣦⡀⠀⢻⠀⠀⠀⣿⡇⠀⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣸⣿⣿⡛⣿⣿⣆⣿⡿⠟⢋⡜⠀⣠⣤⣤⣄⣠⣄⡀⠀⠘⠛⣿⡄⢺⠀⠀⠀⣿⣷⠀⠀⠀⣿⣿⠃⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣰⣶⣤⣤⣤⣄⣤⣤⣠⣄⣀⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠈⠀⠀⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⠀⠀⠄⢛⠛⠂⠀⠀⠿⠋⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣿⣿⣿⠿⠿⢏⡉⣹⠏⠋⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠁⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⢀⣿⣛⣛⣛⣛⣿⣛⣛⡛⠛⣿⡟⠛⢻⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠉⠛⢿⣍⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠼⢈⣩⣭⣄⣩⣽⣿⣿⣿⢿⣿⣿⢼⡇⠘⠃⠲⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣓⣓⣒⡲⡆⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣷⠀⣿⣏⠀⠀⠀⠀⠀⢀⡀⠀⣠⣶⣿⣿⣯⣽⣻⣦⣹⣿⣿⣛⣀⠙⡟⣸⠀⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣇⠀⠀⠀⠀⠀⠀⠀⢀⣀⠛ ⠁⠀⠼⠏⠀⠀⠀⠀⠀⠘⣧⡄⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣽⣧⣷⠀⠀⣶⢰⡆⠀⠀⠀⠀⠀⢀⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠀⠀⠀⠐⠻⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⠀⠀⢹⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣷⡄⣿⢸⡇⠀⠀⠀⠀⢠⣾⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠐⠆⣀⣄⠀⠀⠹⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⢿⣿⣿⣧⣽⣿⣿⣿⣿⣿⣿⣿⣿⡏⢸⠃⡄⢀⣤⣴⣿⢟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⢿⣿⡿⠃⣤⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢻⣿⣿⣽⣻⣿⣯⣽⣿⣿⣿⣿⣿⣿⣧⡇⢸⠀⠁⢸⣿⠿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡇⠀⠀⣴⣾⣿⣷⣄⣀⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠀⠀⢸⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⢘⣿⡟⠙⠿⠿⠟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠠⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡇⢸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⢸⣿⣿⣶⣤⣄⠰⣦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⣧⡀⠀⠀⠀⢀⣠⣾⣿⣿⢹⣿⠉⠛⠻⢿⣧⣇⣸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡇⠀⢀⢸⣿⣝⠻⣿⡋⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣶⢶⣦⣜⣿⣿⣿⡟⠈⠀⠀⠀⠀⠀⠉⠛⠁⠀⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣼⣿⣿⡆⠛⠛⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣈⣀⣴⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⠛⠟⢻⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡟⠉⠁⠀⠀⠈⢉⣽⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡇⢸⣿⠁⠀⢻⣿⣯⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⣿⣦⠀⠀⠀⢀⣾⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠃⣿⣿⣆⣠⣿⣿⣿⣯⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢹⣿⡇⠀⠀⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⢸⠀⣿⣿⣿⣿⣿⢹⣿⠉⠀⠀ ⠀⠖⠲⣶⠏⢶⠄⠰⠶⠶⠖⠀⠀⢸⣿⡄⠀⠀⠀⠙⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠯⢟⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢸⣰⣿⣿⣿⠟⠛⣿⣿⡆⠀⠀ ⣰⡿⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢸⡇⡀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⣿⡇⠈⠋⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠰⠒⠀⠰⠾⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⠛⠋⠀⠀⠀⠤⠀⠈⠙⠀ ⠗⠒⢻⣿⣧⢉⠀⣿⡇⡄⠀⠀⢸⡇⣿⣿⣿⠟⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⡤⠧⠽⠿⠿⠟⠛⠂⠀⠀⠀⠀⢀⣀⣀⣀⣀ ⠀⠀⢸⣿⣿⣿⢳⣿⡇⠃⠀⠀⠀⡇⣿⣿⣯⣤⣼⣿⣤⣤⣤⣄⠀⠀⠀⠀⡇⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠛⠛⠛⠛⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⢠⣾⣿⣿⣿⡇⡀⣠⣀⣤⣿⣿⠿⠿⠋⠁⠀⠀⠈⠙⠻⢿⣦⣀⠀⢻⠀⠀⠀⣿⡇⠀⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣸⣿⣿⡛⣻⣿⣄⣿⣿⠿⠛⢡⠊⢀⣠⣄⣄⣀⣀⣀⠀⠀⠙⢻⣆⣻⠀⠀⠀⣿⣷⠀⠀⠈⣿⣿⠁⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣰⣶⣤⣤⣤⣄⣤⣤⣀⣄⣀⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⠀⠀⠄⢛⠛⠂⠀⠀⡿⠋⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣟⠋⠁⠀⠀⠀⠉⣽⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡇⢸⣿⠁⠀⢻⣿⣧⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢎⢿⣷⡀⠀⠀⠀⣼⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠇⣿⣿⣧⣴⣿⣿⣿⣏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢸⣿⡇⠀⠀⠘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⢸⠀⣿⣿⣿⣿⣿⠀⣿⡄⠀⠀ ⠀⠖⠲⣶⠏⢶⠄⠰⠶⠶⠖⠀⠀⢸⣿⡇⠀⠀⠀⠩⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⡿⢟⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢸⣰⣿⣿⣿⠟⠋⣸⣿⡇⠀⠀ ⣰⡿⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢸⡇⡀⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⣿⡇⠈⠋⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠰⠒⠀⠰⠾⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⠛⠋⠀⠀⠀⠤⠀⠈⠙⠀ ⠗⠒⢻⣿⣧⢉⠀⣿⡇⡄⠀⠀⢸⡇⣿⣿⣿⠏⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⡤⠧⠽⠿⠿⠟⠛⠂⠀⠀⠀⠀⢀⣀⣀⣀⣀ ⠀⠀⢸⣿⣿⣿⢣⣿⡇⠇⠀⠀⠀⡇⣿⣿⣯⣤⣼⣿⣤⣤⣤⣄⡀⠀⠀⠀⡇⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠛⠛⠛⠛⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⢠⣾⣿⣿⣿⡇⡀⣠⣀⣠⣿⣿⡟⠿⠋⠁⠀⠀⠀⠉⠛⢿⣦⣀⠀⢻⠀⠀⠀⣿⡇⠀⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣸⣿⣿⡛⣻⣿⣃⣿⣿⠯⠛⢉⡄⠀⣠⣤⣤⣀⣠⣄⡀⠀⠻⣿⣧⣸⠀⠀⠀⣿⣷⠀⠀⠀⣿⣿⠃⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣰⣶⣤⣤⣤⣄⣤⣤⣀⣤⣄⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠰⣾ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠈⠀⠸⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⠀⠀⠄⢛⠛⠂⠀⠀⡿⠋⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣿⣿⣿⣿⡿⠿⠏⡉⢹⠟⠓⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠨⡄⠀⠀⠀⠀⠀⣿⣛⣛⣛⣛⣛⣛⣛⣛⡛⣿⡟⠛⢻⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠋⠻⣿⡋⠀⠀⠀⠀⠁⠀⠁⠀⠀⠀⠀⣼⠟⣛⣯⣉⣉⣹⣿⣿⣿⣿⣿⣿⡇⠘⠃⠰⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣛⣒⡒⡆⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣧⠀⣿⡟⠀⠀⠀⠀⠀⢠⣀⠀⠀⠀⣠⣿⣿⣏⣹⣻⣧⣹⣿⣿⣛⣀⢹⣿⠇⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣇⠀⠀⠀⠀⠀⠀⢀⣀⣴⣿ ⠉⠀⠽⠟⠀⠀⠀⠀⠀⠀⢿⣤⡀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣿⣷⠀⠀⣶⢰⡆⠀⠀⠀⠀⠀⢀⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠀⠀⠀⠀⠉⠹⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠃⠀⠀⠹⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣷⣄⣿⢸⡇⠀⠀⠀⠀⢠⣾⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠘⢠⣶⣄⣀⠀⠻⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣬⣿⣿⣿⣿⣿⣿⣿⡏⢸⠇⡄⢀⣤⣴⣿⢟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠘⢿⣿⠏⠠⠄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢫⢻⣿⣿⣟⣛⣿⣿⣽⣿⣿⣿⣿⣿⣧⡇⢸⠀⠁⢸⣿⠿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⡇⠀⠀⢸⣿⣿⣿⣧⣠⣤⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠀⠀⢸⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢸⡇⠀⠀⠀⣿⣟⠉⠻⠿⠟⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⢰⡀⠀⠀⠙⢿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⡇⡇⢸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⢰⣿⣿⣿⣶⣤⠈⢷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⢘⣷⡀⠀⠀⠀⠈⢉⣿⣿⠘⣿⠉⠙⠻⢿⣧⣇⣸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡇⠀⢀⡠⣿⣿⡙⣿⣏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣾⣿⣧⡴⡦⠤⣾⣿⣿⣿⠀⠃⠀⠀⠀⠀⠉⠛⠁⠀⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣷⣿⣿⡷⠈⠛⠁⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣅⣉⣨⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣾⡏⠛⢛⣷⡄⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣟⠋⠁⠀⠀⠀⠉⣽⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡇⢰⣿⡇⠀⢸⣿⣧⣾⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⢿⣷⡀⠀⠀⠀⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⣿⣷⣤⣾⠿⣿⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢸⣿⡇⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢸⠁⣿⣿⣿⣿⣿⠀⣿⡇⠀⠀ ⠀⠖⠲⣶⠏⢶⠄⠰⠶⠶⠖⠀⠀⢸⣿⡇⠀⠀⠀⠩⣻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣽⡿⢟⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢸⣴⣿⣿⣿⠟⠋⢰⣿⡇⠀⠀ ⣰⡿⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢸⡇⡀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⣿⡇⠈⠋⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠰⠖⠀⠰⠾⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⠛⠋⠀⠀⠀⠠⠀⠈⠙⠀ ⠗⠒⢻⣿⣧⢉⠀⣿⡇⡄⠀⠀⢸⣇⣿⣿⣿⠟⢻⡧⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⡤⠧⠽⠿⠿⠟⠛⠂⠀⠀⠀⠀⣀⣀⣀⣀⣀ ⠀⠀⢸⣿⣿⣿⢣⣿⡇⠃⠀⠀⠀⡟⣿⣿⣯⣤⣼⣿⣤⣤⣤⣤⡀⠀⠀⠀⣇⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠛⠛⠛⠛⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⢠⣾⣿⣿⣿⡇⡀⣠⣀⣠⣿⣿⡟⠿⠏⠁⠀⠀⠀⠉⠛⠿⣷⣀⠃⣿⠀⠀⠀⣿⡇⠀⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣸⣿⣿⡛⣻⣿⣂⣿⣿⠯⠛⠋⡔⠁⣠⣤⣤⣄⣠⣄⣀⠀⠙⣿⣧⣹⠀⠀⠀⣿⣿⠀⠀⠀⣿⣿⠃⠀⠀⣀⣀⣀⣀⣀⣀⣠⣀⣀⣰⣶⣤⣤⣤⣄⣤⣤⣠⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠰⣾ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠈⠀⢸⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⠀⠀⠄⢛⠛⠂⠀⠀⡿⠋⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣿⣿⣿⣿⣿⠿⠏⡉⢻⠟⡓⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⣿⣛⣛⣛⣛⣻⣛⣛⣛⡛⣿⡟⠛⣻⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠏⠻⣿⣟⠀⠀⠀⠀⠁⠀⠁⠀⠀⠀⢀⣾⠟⣛⣿⣍⣉⣹⣿⣿⣿⢿⣿⣿⡇⠘⠃⠰⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣛⣒⡒⡆⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣷⠀⣿⡟⠀⠀⠀⠀⠀⢠⣀⠀⠀⠀⣠⣽⣿⣯⣽⣻⣷⣹⣿⣿⣟⡂⣹⣿⠇⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣇⠀⠀⠀⠀⠀⠀⢠⣤⣼⣿ ⠉⠀⠽⠟⠀⠀⠀⠀⠀⠀⢿⣴⡀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣿⣷⠀⠀⣶⢰⡆⠀⠀⠀⠀⠀⢀⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠀⡀⠀⠀⠀⠈⢻⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠇⠀⠈⢹⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣷⣄⣿⢸⡇⠀⠀⠀⠀⢠⣾⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠁⣾⣷⣄⡀⠘⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣮⣿⣿⣿⣿⣿⣿⣿⡿⢸⠇⡄⢀⣤⣴⣿⢟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣀⣿⣿⡟⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢹⣿⣿⣿⣟⣻⣿⣭⣿⣿⣿⣿⣿⣧⡇⢸⠀⠁⢸⣿⠿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡇⠀⠀⠀⣿⣿⣿⣿⣆⣤⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠊⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠀⠀⢸⣷⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢸⡇⠀⠀⠀⢸⣿⣋⠘⠿⠿⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⡸⡄⠀⠀⠘⢿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⡇⡇⢸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⠀⣿⣿⣿⣿⣶⡄⠹ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⡀⢘⣿⡄⠀⠀⠀⠈⢉⣿⣿⠘⣿⡉⠙⠻⢿⣧⣇⣸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡇⠀⠀⣤⢻⣿⣏⢻⣯⡀⠀ ⠀⡀⠠⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣷⣶⠦⣤⣾⣿⣿⣿⠀⠇⠀⠀⠀⠀⠉⠛⠁⠀⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣿⣿⣿⡿⠂⠉⠁⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣍⣈⣩⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣼⣿⠉⢋⣿⣆⢀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣟⠋⠉⠀⠀⠀⠉⣽⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡇⢰⣿⡇⠀⢘⣿⣿⣾⡗⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⢿⣷⡀⠀⠀⠀⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⣸⣿⣿⣦⣾⡿⣿⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢸⣿⡗⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢸⡃⣿⣿⣿⣿⣿⠀⣾⡇⠀⠀ ⠀⠖⠲⣶⠏⢶⠄⠰⠶⠶⠖⠀⠀⢸⣿⡇⠀⠀⠀⠩⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⡿⢽⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⢸⣾⣿⣿⣿⠟⠋⢠⣿⡇⠀⠀ ⣰⡿⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢸⣇⡀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⣿⡇⠈⠋⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠰⠖⠀⠰⠾⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⠛⠋⠀⠀⠀⠠⠀⠈⠙⠀ ⠗⠒⢻⣿⣧⢉⠀⣿⡇⡄⠀⠀⠨⡇⣿⣿⣿⠏⢻⡿⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⡤⠧⠽⠿⠿⠟⠛⠂⠀⠀⠀⠀⣀⣀⣀⣀⣀ ⠀⠀⢸⣿⣿⣿⢣⣿⡇⠃⠀⠀⠀⡇⣿⣿⣯⣤⣼⣷⢤⣤⣤⣄⡀⠀⠀⠀⣇⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠛⠛⠛⠛⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⢠⣾⣿⣿⣿⡇⡀⣀⣀⣠⣿⣿⠟⠿⠋⠁⠀⠀⠀⠉⠛⢿⣦⣀⠀⢼⠀⠀⠀⣿⣇⠀⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣸⣿⣿⡛⣻⣿⣂⣿⣿⠯⠙⢉⠄⠀⣠⣤⣤⣄⣠⣄⡀⠀⠛⣿⣧⣸⠀⠀⠀⢻⣿⠀⠀⠀⣿⣿⠃⠀⠀⣀⣀⣀⣀⣀⣀⣠⣄⣀⣰⣶⣤⣤⣤⣄⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠈⠀⢸⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⠀⠀⠄⢛⠛⠂⠀⠀⣿⠟⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣿⣿⣿⣿⣿⠿⠿⡉⢹⠟⡓⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⣿⣛⣛⣛⣛⣻⣛⣛⣛⠛⣿⡟⠛⢻⣟⣿⣿⣿⣿⣿⣿⠛⠛⠛⠛⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠋⠻⣿⡏⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⢠⣾⠟⢛⣛⣋⣙⣻⣿⣿⣿⣿⣿⣿⡇⠘⠃⠰⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣛⣒⡒⡆⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣷⡀⣿⣟⠀⠀⠀⠀⠀⢠⣀⠀⠀⢀⣤⣿⣿⣏⣽⣻⣮⣻⣿⣿⣿⡀⢻⣿⠇⠐⡀⠀⠀⠀⠀⠠⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⠀⠀⠀⠀⠀⠀⠀⠐⠿⣿ ⠉⠀⠽⠟⠀⠀⠀⠀⠀⠀⢿⣴⡀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣿⣷⡀⠀⣾⢰⡆⠀⠀⠀⠀⠀⢀⣾⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⠇⠀⠀⠀⠀⢀⣀⠀⠀⠸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠀⠀⢻⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣷⣄⣿⢸⡇⠀⠀⠀⠀⢠⣾⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⣿⣿⣷⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⢿⣿⣿⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⡇⢀⣤⣴⣿⢟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⣶⣾⣿⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⢿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣧⡟⢸⡇⠃⢸⣿⠿⣫⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡟⡇⠀⠀⠀⠀⢿⣿⣿⢷⣦⣴ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠁⠀⢸⣷⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡇⡇⠀⠀⠀⠀⣼⣿⣤⣀⠙⠙ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⢲⡄⠀⠀⠙⢿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⡿⡇⢸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⡇⠀⠀⠀⢀⣿⣿⢿⣿⡷⠆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⡀⢐⣷⡀⠀⠀⠀⠀⣠⣿⣿⠸⣿⠉⠛⠻⢿⣧⣇⣸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⡇⠀⠀⢀⣿⣹⣿⣧⠹⣷⡄ ⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣾⣿⣦⣶⡦⣴⡿⣿⣿⣿⠀⠏⠀⠀⠀⠀⠉⠛⠁⠀⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣼⡿⢿⣿⡏⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣅⣀⣤⣾⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣰⣿⡗⠀⢠⣿⡆⢠⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣟⠉⠁⠀⠀⠀⠉⣽⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡇⢠⣿⣿⡄⠀⣸⣿⣿⣿⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⢿⣷⡀⠀⠀⠀⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⢸⣿⣿⣿⣿⡿⠛⣿⡿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢸⣿⡇⠀⠀⠘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⣼⣿⣿⣿⣿⡧⢠⣿⡇⠀ ⠀⠖⠲⣶⠏⢶⠄⠰⠶⠶⠖⠀⠀⢸⣿⡇⠀⠀⠀⢩⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⡿⢽⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⠟⠀⠀⣼⣿⡇⠀ ⣰⡿⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢸⡇⣄⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⣿⡇⠈⠉⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠰⠖⠀⠰⠶⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠀⠀⠀⠠⠀⠈⠉⠀ ⠗⠒⢻⣿⣧⢉⠀⣿⡇⡄⠀⠀⠸⡇⣿⣿⣿⠏⢻⡟⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣴⣤⣤⣤⣤⣤⣤⣤⡤⠧⠼⠿⠿⠛⠛⠂⠀⠀⠀⠀⣀⣀⣀⣀⣀ ⠀⠀⢸⣿⣿⣿⢃⣿⡇⠃⠀⠀⠀⡏⣿⣿⣯⣤⣬⣷⣤⣤⣤⣄⠀⠀⠀⠀⣧⠀⠀⠀⣿⡇⠀⠀⢀⢸⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠛⠛⠛⠛⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⢠⣾⣿⣿⣿⡇⡀⣀⣀⣠⣿⣿⠟⠿⠋⠁⠀⠀⠀⠙⠻⢿⣦⡀⠀⢸⠀⠀⠀⣿⣿⠀⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⢸⣿⣿⡛⣻⣿⣃⣿⣿⠏⠙⢁⠎⢀⣠⣤⣤⣀⣤⣄⡀⠀⢻⣿⣆⣸⠀⠀⠀⢻⣿⠀⠀⠀⣿⣿⠃⠀⠀⣀⣀⣀⣀⣀⣀⣠⣤⣄⣴⣶⣤⣤⣤⣄⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⠀⠀⠄⢚⠙⠂⠀⠀⣿⠟⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣿⣿⣿⣿⣿⠿⠿⡉⢹⠟⡑⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠨⠄⠀⠀⠀⠀⠀⣿⣛⣛⣛⣛⣛⣛⣛⣛⣛⣿⡟⠛⣻⣟⣿⣿⣿⣿⣿⣿⠛⠛⠛⠛⠛⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹ ⠏⠙⣿⡏⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⢠⣾⠛⢻⣟⠛⠛⣿⣿⣿⣿⣿⣿⣿⡇⠘⠃⠰⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣛⣓⡒⡆⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿ ⣷⡀⣿⣟⠀⠀⠀⠀⠀⢠⡀⠀⠀⢠⣾⣿⣿⣋⣛⣳⣌⣿⣿⣿⣷⠈⢻⢹⠁⠐⡀⢀⠀⠀⠀⠠⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻ ⠉⠀⠽⠟⠀⠀⠀⠀⠀⠀⢷⣤⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣿⣶⡀⠀⣾⢰⡆⠀⠀⠀⠀⠀⢀⣾⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⠇⠀⠀⠀⠀⢀⣴⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠁⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣿⢸⡇⠀⠀⠀⠀⢠⣾⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠸⣿⣿⡿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⡇⢀⣤⣴⣿⢟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡟⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣷⡟⢸⡇⠃⢸⣿⠿⣫⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡏⡇⠀⠀⠀⠀⠘⣿⣿⠏⢿⣦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠀⠀⢸⣷⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡇⡇⠀⠀⠀⠀⣼⣿⣷⣦⣄⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⢦⠀⠀⠀⠙⢿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⡟⡇⢸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⡇⠀⠀⠀⢠⠸⣿⣟⢿⣿⠗ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⡀⢰⣷⡀⠀⠀⠀⠀⣠⣿⣿⠸⣿⠉⠛⠻⢿⣧⣇⣸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⡇⠀⠀⠀⣿⣤⣿⣿⡄⠹⠷ ⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣾⣿⣦⣥⡤⢼⣿⣿⣿⣿⠀⠃⠀⠀⠀⠀⠉⠛⠁⠀⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣸⣿⡿⣿⣿⡁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣅⣁⣤⣾⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣰⣿⡿⠃⠰⣾⣿⠀⢄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢿⣟⠉⠁⠀⠀⠀⢉⣽⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡇⠀⣿⣿⣷⡀⣰⣿⣿⣿⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣌⣿⣷⠀⠀⠀⢀⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⢰⣿⣿⣿⣿⣿⠛⢻⣿⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⡇⠀⠀⠘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⣾⣿⣿⣿⣿⠿⠀⣾⣿⠀ ⠀⠖⠲⣶⠏⢶⠄⠰⠶⠶⠖⠀⠀⢿⣿⡇⠀⠀⠀⢫⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⡿⠽⡻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⡟⠀⠀⣰⣿⣿⠀ ⣰⡿⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢸⡇⡀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⣿⡇⠈⠉⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠰⠖⠀⠰⠶⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠀⠀⠀⠠⠀⠈⠉⠀ ⠗⠒⢻⣿⣷⢉⠀⣿⡇⡄⠀⠀⠸⡇⣿⣿⣿⠏⢻⣟⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣦⣤⣤⣤⣤⣤⣤⡤⠧⠼⠿⠿⠟⠛⠂⠀⠀⠀⠀⡀⣀⣀⣀⣀ ⠀⠀⢸⣿⣿⣿⢃⣿⡇⠃⠀⠀⠀⡏⣿⣿⣯⣤⣬⣯⣤⣤⣄⡀⠀⠀⠀⠀⢷⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠛⠛⠛⠛⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⢠⣾⣿⣿⣿⡇⡀⣀⣀⣤⣿⣿⢿⠟⠉⠀⠀⠀⠉⠛⢿⣦⣄⠀⠀⢹⠀⠀⠀⣿⣇⠀⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⢸⣿⣿⡛⣿⣿⣃⣿⡿⠟⠋⡕⠁⣀⣀⣀⣀⣀⣀⡀⠀⠙⣿⣧⡀⢸⠀⠀⠀⢻⣿⠀⠀⠀⣿⣿⠇⠀⠀⣀⣀⣀⣀⣀⣀⣠⣄⣀⣰⣶⣤⣤⣤⣄⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠈⠀⢸⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣶⠀⠀⠄⢚⠛⠂⠀⠀⣿⠟⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣿⣿⣿⣿⣿⠿⠟⡈⣻⠗⠆⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠀⠀⠀⠀⠀⠨⠄⠀⠀⠀⠀⠀⣿⣛⣛⣛⣛⣛⣛⣛⡛⠛⣿⡟⠛⢻⣟⣿⣿⣿⣿⣿⣿⠛⠛⠛⠛⠛⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼ ⠏⠙⣿⡋⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⣴⡿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠘⠃⠰⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣛⣒⡒⡆⣿⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿ ⣷⡀⣾⡟⠀⠀⠀⠀⠀⣀⠀⠀⠀⣰⣿⣶⡟⠻⣶⣄⢾⣿⣿⢿⠉⠙⡏⡿⠀⠐⡀⢀⠀⠀⠀⠠⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠋⠀⠽⠟⠀⠀⠀⠀⠀⢸⣤⡀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣷⣧⡀⠀⣾⢰⡆⠀⠀⠀⠀⠀⢀⣾⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⠇⠀⠀⠀⠀⠀⢘⣿⣷⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠇⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣿⢸⡇⠀⠀⠀⠀⢠⣾⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⣠⣼⣿⣿⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣆⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⡇⢀⣤⣴⣿⢟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢹⣿⣿⡿⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⢿⣿⣶⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣧⡟⢸⡇⠃⢸⣿⠿⣫⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡏⡇⠀⠀⠀⠀⠀⣸⣿⡟⠁⠸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠀⠀⢸⣷⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡇⡇⠀⠀⠀⠀⠀⢿⣿⣿⣷⣦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡇⢸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⡇⠀⠀⠀⢀⣶⠘⣿⣯⠙⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣄⠀⢾⡀⠀⠀⠀⠈⢉⣽⣿⣿⢸⣿⠉⠛⠿⣿⣇⣇⣸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⡇⠀⠀⠀⣼⣿⣶⣿⣿⠆⠘ ⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣷⣾⣷⣴⣆⣤⣼⣿⣿⣿⣿⠈⠉⠀⠀⠀⠀⠙⠛⠋⠀⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣰⣿⣿⠙⠛⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣯⣋⣉⣴⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⠋⠀⢹⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡟⠉⠉⠀⠀⠉⢉⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⣿⣿⣿⣧⣀⣼⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡜⣿⣆⠀⠀⠀⢀⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⢀⣿⣿⣿⣿⣿⡏⠉⣽⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⠆⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣇⣾⣿⣿⣿⡿⠛⠃⢠⣿⣿ ⠀⠖⠲⣶⠏⢶⠄⠰⠶⠶⠖⠀⢰⣿⣿⠀⠀⠀⠀⡝⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⡿⢽⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⠀⠀⢀⣾⣿⡇ ⣰⡿⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢸⡇⡀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⣿⡇⠈⠋⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠰⠖⠀⠰⠶⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠀⠀⠀⠠⠀⠈⠉⠀ ⠗⠒⢻⣿⣷⢉⠀⣿⡇⡄⠀⠀⠸⡇⣿⣿⣿⠏⢻⣟⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣦⣤⣤⣤⣤⣤⣤⡤⠧⠼⠿⠿⠟⠛⠂⠀⠀⠀⠀⣀⣀⣀⣀⣀ ⠀⠀⢸⣿⣿⣿⢃⣿⡇⠃⠀⠀⠀⡏⣽⣿⣯⣤⣬⣿⣤⣄⣀⠀⠀⠀⠀⠀⢷⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠛⠛⠛⠛⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⢀⣾⣿⣿⣿⡇⡀⣠⣤⣴⣿⣿⡟⠋⠁⠀⠀⠉⠛⠿⣷⣦⡀⠀⠀⢹⠀⠀⠀⣿⣇⠀⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⢸⣿⣿⡛⣻⣿⣃⣿⠿⠛⡱⠁⢀⣀⣀⣀⣀⣀⡀⠀⠘⢿⣿⣄⠀⢸⠀⠀⠀⢻⣿⠀⠀⠀⣿⣿⠇⠀⠀⣀⣀⣀⣀⣀⣀⣀⣄⣀⣰⣶⣤⣤⣤⣄⣤⣤⣠⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠠⣶ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠐⠁⠀⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾⣿⣿⡇⠸⠀⠀⠄⢚⠛⠂⠀⠀⣿⠋⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿ ⣿⣿⣿⣿⣿⠿⠟⣉⠟⠲⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠃⠀⠀⠀⠀⠀⠀⠨⠄⠀⠀⠀⠀⠀⣿⣛⣛⣛⣛⣟⣛⣛⣛⠛⣿⡟⠛⢻⣿⣿⣿⣿⣿⣿⡿⠛⠛⠛⠛⠛⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽ ⠏⠙⣿⡛⠀⠀⠀⠈⠀⠀⠀⠀⠀⣀⡼⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠀⠘⠃⠰⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣛⣒⡒⡆⣿⠀⠀⠀⠀⠀⠀⠀⠀⠐⠻ ⣷⠀⣿⡛⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣷⣖⠳⠦⣄⢸⣿⣿⡿⠉⠙⣿⢸⡃⠀⠐⡀⢀⠀⠀⠀⠠⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀ ⠋⠠⢿⠟⠀⠀⠀⠀⠀⣧⡀⠈⢿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣭⣹⣿⣾⣧⡀⠀⣾⢰⡆⠀⠀⠀⠀⠀⢀⣾⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⠇⠀⠀⠀⠀⠀⠀⣿⣿⣦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠀⠈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣿⢸⡇⠀⠀⠀⠀⢠⣾⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⢠⣤⣿⣿⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢿⣿⣿⣿⣷⣦⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⡇⢀⣤⣴⣿⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠸⣿⣿⣿⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢸⣿⣷⣽⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣧⡿⢸⡇⠃⢸⣿⠿⣫⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡏⡟⠀⠀⠀⠀⠀⢠⣿⣟⡁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠀⠀⢸⣷⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡇⡇⠀⠀⠀⠀⠀⢻⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⡿⡇⢸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠁⡇⠀⠀⠀⢀⣾⠀⣿⣿⡉⢻ ⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⢳⡀⠨⡄⠀⠀⠀⠈⠉⣩⣿⣿⡇⢿⣏⠙⠛⠿⣿⣧⣇⣸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⡇⠀⠀⠀⣼⣿⣾⣿⣿⠇⠈ ⢀⠀⠄⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣿⣤⣤⣠⢐⣾⣿⣿⣿⡇⠘⠈⠀⠀⠀⠀⠉⠛⠃⠀⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣰⣿⣿⡏⠉⣻⣦⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢌⣿⣿⣿⣿⣟⣉⣡⣴⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⡇⠀⠈⣿⣿⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⠛⠉⠉⠀⠈⠉⣹⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡇⠀⣿⣿⣿⣿⣤⣼⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⣻⣷⡄⠀⠀⠀⣰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⢠⣿⣿⣿⣿⣿⣿⠁⣸⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⣿⠀⠀⠀⢿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣇⣾⣿⣿⣿⡿⠋⠉⢀⣿⣿ ⠀⠖⠲⣶⠏⢶⠄⠰⠶⠶⠖⠀⢸⣿⡇⠀⠀⠀⠈⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠿⢽⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⡀⠀⢀⣾⣿⣿ ⣰⠿⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢸⡇⡀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⣿⡇⠈⠉⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠰⠒⠀⠰⠶⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠀⠀⠀⠠⠀⠈⠉⠀ ⠗⠒⢻⣿⣧⢉⠀⣿⡇⡄⠀⠀⠘⣇⣿⣿⣿⠏⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⡤⠧⠽⠿⠿⠟⠛⠂⠀⠀⠀⠀⠀⣀⣀⣀⣀ ⠀⠀⢸⣿⢿⣿⢃⣿⡇⠁⠀⠀⠀⣇⣿⣿⣯⣤⣬⣷⣤⣄⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠛⠛⠛⠛⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⢠⣾⣿⣿⣿⡇⡀⣤⣤⣾⣿⡟⠉⠀⠀⠀⠈⠙⠻⣿⣶⣄⠀⠀⠀⢸⠀⠀⠀⣿⡇⠀⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⢸⣿⣿⡛⣻⣿⣿⡿⠟⡹⠁⢀⣀⣀⣀⣀⣄⣀⠀⠈⠛⣿⣧⡀⠀⢸⠀⠀⠀⢻⣿⠀⠀⠀⣿⣿⠃⠀⠀⣀⣀⣀⣀⣀⣀⣠⣄⣀⣰⣶⣤⣤⣤⣄⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠠⣶ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠐⠁⠀⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣷⠀⠸⠀⠀⠄⢚⠛⠂⠀⠀⡿⠋⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣿⣿⣿⣿⣿⠿⠟⣉⠑⠂⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡯⠀⠀⠀⠀⠀⠀⠀⠨⠄⠀⠀⠀⠀⠀⣿⣛⣛⣛⣛⣛⣛⣛⣛⣛⣿⡟⠛⢻⣟⣿⣿⣿⣿⣿⡿⠛⠛⠛⠛⠛⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠏⠙⣿⡋⠀⠀⠀⠁⠀⠀⠀⠀⠀⡼⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠘⠃⠰⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣛⣒⡒⡆⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙ ⣷⠀⣾⡓⠀⠀⠀⠀⠀⠀⠀⣠⣶⣷⣖⢛⣶⣄⠰⣿⣿⣿⡉⢉⣻⡇⣿⡀⠀⠐⡀⠀⠀⠀⠀⠠⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀ ⠋⠀⢽⠗⠀⠀⠀⠀⢸⡀⠀⢹⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣦⣤⣿⣿⣿⣧⡀⠀⣾⢰⡆⠀⠀⠀⠀⠀⢀⣾⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⠇⠀⠀⠀⠀⠀⠀⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠆⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣿⢸⡇⠀⠀⠀⠀⢠⣾⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⢰⣶⣿⣿⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣿⣿⣿⣷⣦⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⡇⢀⣤⣶⣿⢟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠘⣿⣿⡟⠠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣷⣭⣿⡿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣷⡏⢸⠇⠁⢸⣿⠿⣫⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⡏⡏⠀⠀⠀⠀⠀⣰⣿⣯⣅⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠀⠀⢸⣷⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠇⡇⠀⠀⠀⠀⢠⠻⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡇⢸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⡇⠀⠀⠀⢠⣿⠀⣿⣿⡀⠻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣦⠀⠀⠀⠀⠀⠀⠉⢉⣽⣿⣿⡋⣿⡏⠉⠛⠿⣿⣧⣇⣸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⡇⠀⠀⠀⣾⣿⣿⣿⣿⠃⠀ ⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣮⣴⣠⣤⣀⠘⣿⣿⣿⣿⠀⠁⠀⠀⠀⠀⠀⠉⠛⠁⠀⠀⠘⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣼⣿⣿⠃⢉⣹⣦⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣍⣉⣠⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣸⣿⣿⡇⠀⠈⣿⣿⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣟⠋⠉⠀⠀⠈⠉⣹⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡇⠀⣿⣿⣿⣿⣦⣶⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⢿⣷⡀⠀⠀⠀⣰⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⣰⣿⣿⣿⣿⣿⣿⠀⢸⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⣿⡷⠀⠀⠐⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣧⣿⣿⣿⣿⠟⠉⠁⢀⣿⣿ ⠀⠖⠲⣶⠏⢶⠄⠰⠶⠶⠆⠀⣾⣿⡇⠀⠀⠀⢨⢻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⢸⣿⣿⣿⣿⣿⡀⠀⣠⣾⣿⣿ ⣰⡿⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢸⡇⡀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠨⡇⠀⠀⠀⣿⡇⠈⠉⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠐⠒⠀⠰⠶⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠀⠀⠀⠠⠀⠈⠉⠀ ⠗⠒⢻⣿⣧⠉⠀⣿⡇⡄⠀⠀⠸⡇⢿⣿⣿⠏⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⡤⠧⠼⠿⠿⠟⠛⠂⠀⠀⠀⠀⡀⣀⣀⣀⣀ ⠀⠀⢸⣿⣿⣿⢃⣿⡇⠁⠀⠀⠀⣇⣼⣿⡷⠤⣼⣷⣤⣀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠛⠛⠛⠛⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⢀⣾⣿⣿⣿⡇⡀⣤⣤⣾⠟⠉⠀⠀⠀⠀⠉⠛⢿⣷⣦⡀⠀⠀⠀⢸⠀⠀⠀⣿⡇⠀⠀⢿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⢸⣿⣿⡛⣿⣿⣿⠟⣻⠃⢀⣀⣤⣤⣤⣤⣄⡀⠀⠈⢹⣿⣆⠀⠀⢸⠀⠀⠀⣻⣿⠀⠀⠀⣿⣿⠇⠀⠀⣀⣀⣀⣀⣀⣀⣠⣄⣀⣰⣶⣤⣤⣤⣄⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠠⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠸⠀⠀⠄⢚⠛⠂⠀⠀⣿⠋⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣿⣿⣿⣿⣿⠿⠏⡉⠐⠁⠀⠎⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡧⠀⠀⠀⠀⠀⠀⠀⠸⠄⠀⠀⠀⠀⠀⣾⣛⣛⣛⣛⣛⣛⣛⣛⠛⣿⡟⠛⢻⣟⣿⣿⣿⣿⣿⡿⠛⠛⠛⠛⠛⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠏⠙⣿⡃⠀⠀⠀⠁⠀⠀⠀⢀⣠⡽⠟⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⢺⣿⠀⠀⠘⠃⠰⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣛⣓⣒⡆⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⣶⠀⣾⡓⠀⠀⠀⠀⠀⠀⢠⣿⣿⣆⣉⣓⣤⠘⣿⣿⣟⣀⢈⣙⣿⢸⣿⡀⠀⠐⡀⠀⠀⠀⠀⠠⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⠀⠀⠀⠀⠀⠀⢲⣾⣆⠀ ⠋⠀⣿⠷⠀⠀⠀⠀⢇⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣼⣧⣸⣿⣷⡀⠀⣾⢀⡆⠀⠀⠀⠀⠀⢀⣾⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⠇⠀⠀⠀⠀⣀⣸⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⢻⣿⣿⣿⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣿⢸⡇⠀⠀⠀⠀⢀⣾⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⢿⣿⣿⡯⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⣿⣿⣿⣿⣦⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⡆⢀⣤⣴⣿⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢹⣿⣿⠃⠺ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⣶⣿⣿⣿⣽⣿⣿⡿⣿⣿⣿⣿⣿⣿⣧⡟⢸⡇⠁⢸⣿⠿⣫⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡏⣿⠀⠀⠀⠀⢠⣿⣿⣶⣤⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣴⣿⣿⣿⣿⣿⣿⣿⡇⢸⠁⠀⢸⣷⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡇⡿⠀⠀⠀⢀⡎⢹⣿⡿⢿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⡟⡇⢸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡇⡇⠀⠀⠀⣾⣇⣸⣿⣷⠀⢻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣄⠀⠀⠀⠀⠀⠈⣩⣿⣿⣿⣿⠸⡿⠀⠉⠙⠻⢿⣧⣧⡼⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣧⡇⠀⠀⢸⣿⣿⠿⣿⡟⠁⠀ ⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣤⣶⣤⣤⣬⣹⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣴⣿⣿⠟⠀⣴⣿⣆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⣍⣉⣴⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡇⢀⣿⣿⣿⡀⠀⢸⣿⣿⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣟⠋⠉⠀⠀⠀⠉⣽⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⡇⢸⣿⣿⣿⣿⣶⡿⠿⢿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣎⣿⣧⠀⠀⠀⠀⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣇⣾⣿⣿⣿⣿⣿⡇⠀⣾⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⢸⣿⡇⠀⠀⠘⢿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⡿⠋⠀⠀⣸⣿⣿ ⠀⠖⠲⣶⠏⢶⠄⠰⠶⠶⠆⠀⣿⣿⡇⠀⠀⠀⢩⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠽⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣧⡀⢀⣴⣿⣿⡏ ⣰⠿⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢸⡇⡀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⣿⡇⠈⠋⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠰⠆⠀⠰⠾⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠚⠀⠀⠀⠠⠀⠈⠙⠀ ⠗⠒⢻⣿⣧⠉⠀⣿⡇⡄⠀⠀⠸⡇⢿⣿⣿⠏⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠥⠽⠿⠿⠿⠛⠂⠀⠀⠀⠀⠀⢀⣀⣀⣀ ⠀⠀⢸⣿⣿⣿⢃⣿⡇⠃⠀⠀⠀⣧⣽⣿⡧⠤⣼⣷⣤⣀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠟⠛⠛⠛⠋⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⢀⣾⣿⣿⣿⡇⡀⣠⣤⣾⠟⠉⠀⠀⠀⠀⠉⠛⢿⣷⣦⡀⠀⠀⠀⢺⠀⠀⠀⣿⡇⠀⠀⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⢸⣿⣿⠛⣻⣿⣿⠟⣻⠃⢀⣠⣤⣤⣤⣤⣀⠀⠀⠉⢹⣿⣆⠀⠀⢸⠀⠀⠀⢻⣿⠀⠀⠈⣿⣿⠇⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣰⣶⣤⣤⣤⣄⣤⣤⣀⣀⣠⣄⣠⣤⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠰⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⢸⠀⠀⠄⢚⠛⠂⠀⠀⣿⠟⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣿⣿⣿⣿⣿⠿⡏⣉⠘⠁⠀⠎⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢹⡧⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⣾⣛⣛⣛⣛⣿⡛⢛⠛⠛⣿⡟⠛⢻⣿⣿⣿⣿⣿⣿⡿⠛⠛⠛⠛⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿ ⠏⠙⣿⡛⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⡛⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⢼⣿⠀⠀⠐⠃⠰⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣒⣒⣒⡲⡆⣿⠀⠀⠀⠀⠀⡀⢀⠀⠀⠘ ⣶⠀⣽⡓⠀⠀⠀⠀⠀⠀⣠⣿⣿⣆⣉⣒⣄⢸⣿⣿⣟⣉⢉⣻⡿⢸⣿⡀⠀⠐⡀⠀⠀⠀⠀⠠⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⠀⠀⠀⠀⠀⢙⣿⣧⡀⠀ ⠋⠀⣿⠗⠀⠀⠀⠀⢇⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣿⡇⢸⣿⣧⠀⠀⣶⢠⡆⠀⠀⠀⠀⠀⢀⣾⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⠇⠀⠀⠀⣄⣸⣿⣿⡿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂⠀⠈⢻⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣷⣄⣿⢸⡇⠀⠀⠀⠀⢀⣾⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⢻⣿⣿⡷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣸⣿⠿⣿⣿⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⡇⢀⣤⣴⣿⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⡿⠃⠸⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣷⣾⣛⣿⣿⣯⣿⣿⡿⣿⣿⣿⣿⣿⣿⣧⡟⢸⡇⠁⢸⣿⠿⣫⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡏⣿⠀⠀⠀⢠⣿⣿⣿⣦⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣴⣿⣿⣿⣿⣿⣿⣿⡇⢸⠃⠀⢸⣷⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡇⡇⠀⠀⠀⡄⠙⣿⣟⠻⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡇⢸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡇⡇⠀⠀⣼⣷⣰⣿⣿⡄⠸⠷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣄⠀⠀⠀⠀⠀⠈⣩⣿⣿⣿⣿⠸⡿⠀⠈⠉⠛⢿⣷⣧⡼⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣧⡇⠀⢰⣿⣿⠿⠿⡿⠁⠀⠀ ⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣶⣶⣤⣤⣬⣹⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠈⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣰⣿⣿⡟⠀⢴⣾⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣮⣍⣉⣴⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣆⠀⢈⣿⣿⣦⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣟⠋⠁⠁⠀⠀⢉⣽⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣧⣿⣿⣿⣿⣿⣿⠿⢿⣿⣇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣎⣿⣧⠀⠀⠀⠀⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡟⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⡿⠀⢸⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⢸⣿⡇⠀⠀⠘⢿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣿⣿⡇⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⠏⠀⠀⢀⣿⣿⠁ ⠀⠖⠲⣶⠏⢶⠄⠰⠶⠶⠆⠀⣿⣿⡇⠀⠀⠀⠩⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢝⠃⠘⣿⣿⣿⡿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⣠⣾⣿⣿⠀ ⣰⡿⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢸⡇⡠⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⢘⡇⠀⠀⠀⣿⡇⠈⠋⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠰⠦⠀⠠⠶⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠒⠀⠀⠀⠠⠀⠀⠙⠀ ⠷⠒⢻⣿⣧⢉⠀⣿⡇⡀⠀⠀⠸⡇⣿⣿⣿⠟⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⡅⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡧⠽⠿⠿⠿⠿⠂⠀⠀⠀⠀⠀⠀⣀⣀⣀ ⠀⠀⢸⣿⣿⣿⢣⣿⡇⠃⠀⠀⠀⣇⣴⣿⣿⠤⢬⣷⣤⣀⡀⠀⠀⠀⠀⠀⣇⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠛⠛⠛⠛⠋⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⢠⣾⣿⣿⣿⡇⣀⣠⣤⣴⡿⠋⠁⠀⠀⠀⠈⠙⠻⣿⣶⣄⠀⠀⠀⢸⠀⠀⠀⣿⡇⠀⠀⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⢸⣿⣿⠛⣿⣿⣿⡿⢋⡟⠀⣀⣠⣤⣤⣤⣤⣀⠀⠀⠙⣿⣧⠀⠀⢸⠀⠀⠀⢿⣿⠀⠀⠈⣿⣿⠇⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣰⣶⣤⣤⣤⣄⣤⣤⣀⣀⣠⣄⣄⣀⣄⣀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠌⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣷⠀⠸⠀⠀⠀⢛⠛⠂⠀⠀⣿⠟⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿ ⣿⣿⣿⣿⣿⠿⠏⣉⠁⠃⠀⠰⠁⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⣧⠀⠀⠀⠀⠀⠀⠀⠐⡄⠀⠀⠀⠀⠀⣾⣟⣛⣛⣛⣿⠛⢛⠟⠛⣿⡟⠛⢻⡿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⣿⠀⠀⠀⡀⠀⠀⠀⠀⢹⣿ ⠋⠹⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣀⣬⠿⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⢸⣿⠂⠀⠐⠃⠰⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣒⡒⠶⠶⡆⣿⠀⠀⠀⠙⢻⣿⠀⠀⠈⠻ ⣶⠀⣾⠗⠀⠀⠀⠀⠀⠀⢀⣼⣿⣷⣉⣑⣢⡄⢿⣿⣿⢏⠉⣙⣿⠈⣿⡀⠀⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⠀⠀⠀⠀⣾⣿⣿⡦⠀⠀ ⠋⠀⣿⠷⠀⠀⠀⠀⢠⡀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣼⣿⢸⣿⣧⡀⠀⣶⢀⡆⠀⠀⠀⠀⠀⢀⣾⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⠇⠀⠘⣿⣿⣿⡟⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠙⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣿⢸⡇⠀⠀⠀⠀⢀⣾⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⣿⣿⣿⠁⢠⡄⣠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⢿⣿⣷⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⡇⢀⣠⣴⣿⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢠⣿⣿⣅⡀⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣷⣿⣿⣿⣿⣽⣿⣿⢿⣿⣿⣿⣿⣿⣧⣿⢸⡇⠃⢸⣿⡿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⠀⢀⣾⣿⣿⣿⣿⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⡇⢸⠁⠀⢸⣷⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡇⣿⠀⣾⡇⢹⣿⣇⠙⠧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣿⣿⣿⣿⣷⢻⣿⣿⣿⣿⣿⣿⡟⡇⢸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡇⣿⣸⣿⣿⣿⣿⡿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⣈⣴⣿⣿⣿⠘⡿⠆⠀⠈⠙⠿⣿⣷⡞⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣧⣿⣿⣿⣿⠉⠛⠁⠀⠀⠀⠀ ⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⣯⣶⣦⣤⣤⢿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⢻⣿⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣷⣄⣀⣴⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣼⣿⣿⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠋⠁⠀⠀⠀⠀⣽⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠋⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⢻⣷⡀⠀⠀⠀⣼⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡇⠙⣿⣿⣿⣿⠋⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠓⠀⣸⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢺⣿⡗⠀⠀⠀⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢹⣇⠀⣿⣿⣿⣏⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⢠⣿⣿⠁⠀ ⠀⠖⠲⣶⠏⢶⠄⠰⠶⠶⠖⠀⣿⣿⡇⠀⠀⠀⠐⣽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⠿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⣠⣿⣿⣿⠀⠀ ⢻⡏⠘⢸⡿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢻⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠿⠀⡄⠀⠀⠀⠈⢩⣭⠭⠘⠿⡿⢯⣽⣷⣧⣾⡿⠧⠶⠤⣷⣾⣶⣾⣿⣶⡤ ⠛⡷⠄⡸⠧⢿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣴⣷⣤⣴⣿⣿⣿⣿⣿⣶ ⠀⠀⠀⣀⣀⠀⢿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣀⣀⣠⡀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢐⣿⣿⣀⣘⣿⢻⣿⣿⠇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠙⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⠐⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠾⢿⣿⣿⣽⣹⡇⢠⡏⠛⠀⣀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡄⢸⠀⣀⣀⣻⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⢠⠚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣀⣼⣿⣿⣿⢹⡇⠸⠇⠀⠀⠿⠄⠰⠀⢤⠤⠀⠀⠘⠿⠇⠸⠰⣿⣿⠿⠿⠿⠟⠛⠿⠿⠿⠿⠿⠧⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⢸⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠈⠙⠛⠛⠿⠿⣿⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⡀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⣼⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠐⣠⣤⠀⢀⡄⣀⠀⠾⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⡄⠀⠘⠋⠉⠉⠹⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⠈⠙⠻⣿⡟⡙⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠠⠶⠶⠶⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⣸⠀⠀⠀⠈⠿⠁⠀⠀⠀⠀⢀⣀⣠⣀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢿⡆⢸⣷⣒⣺⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠀⢀⡀⣠⣶⠀⠀⠀⠀⠀⣸⣿⣿⣿⡇⠀⠀⠀⣿⠛⣿⣿⣿⣿⣿⡧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠸⣧⡘⣿⣿⣿⣿⠟⠿⠿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⢸⠛⠛⠛⠿⣿⡟⠉⠙ ⣿⢸⣿⣿⣿⣿⠀⢸⣷⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⢨⡿⠃⠘⠟⢿⣿⣶⣄⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠻⠃⠀⠀ ⣿⠀⣀⠿⠿⠟⠀⠀⠛⠀⠸⣿⣿⣿⡟⠁⠀⠀⠀⠙⠋⠉⠉⠉⠛⠛⠛⠛⠛⠛⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠁⠀⠀⠄ ⣹⠈⠻⠀⠀⠀⢰⣦⣷⠀⠀⠙⠿⢿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣏⢀⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⣦ ⢸⠀⠀⠀⠀⠀⠀⢿⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠘⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⣷⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀ ⢸⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠙⠛⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⡇⠸⠏⠛⠛⠁⠐⠦⣄⡀⠀⠀⠀⠀⠠⣿⣿ ⢸⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⠤⢤⣄⣀⣉ ⠈⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⠟⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡔⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣦⡄⠈⢢⡀⠀⠀⠉⣡⣾⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⢶⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣷⣶⣿⠶⠤⣾⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠖⠶⣶⠏⢶⠄⠰⠶⢿⡿⢺⢐⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡿⠋⠁⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⡇⠘⢸⡿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢻⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠿⢡⡄⠀⠀⠀⠈⢙⣋⠍⠼⠤⠯⢭⠾⣶⣶⠾⠿⠷⠦⠤⢵⣾⣶⣿⣿⣶⡤ ⠙⠷⠤⡘⠇⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⣶⣶⣶⣶⣿⣿⣿⣿⣿⣷⣰⣷⣤⣴⣿⣿⣿⣿⣿⣶ ⠀⠀⠀⣀⣀⠀⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢐⣿⣿⣀⣘⡿⢻⣿⣿⠇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠙⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⢀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠂⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠻⢻⣿⣿⣽⣹⡇⢠⡇⠙⠀⣀⠀⠀⠀⠀⠀⠀⠀⠠⣿⡆⢸⠀⣀⣀⣻⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⢀⠺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣠⣼⣿⣿⣿⢹⠇⠸⠇⠀⠀⠟⠀⠰⠀⠤⠤⠀⠀⠘⠟⠃⠘⠰⣿⣿⠿⠿⠿⠟⠛⠻⠿⠿⠿⠿⠇⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⢐⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠈⠉⠛⠛⠿⠿⣿⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⡀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣀⣴⣿⣧⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⠐⣠⣤⠀⣠⣄⣀⠀⠾⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⠀⠀⠹⠛⠉⠉⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⠈⠙⠻⣿⡟⡙⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⣶⡶⢤⣄⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠀⠀⠀⠈⠿⠁⠀⠀⠀⠀⢀⣤⣤⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢿⡀⢨⣷⣰⣶⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠀⣀⣀⣴⣿⠀⠀⡀⠀⢀⣼⣿⣿⣿⡀⠀⠀⠀⣿⢩⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠁⢸⣇⠸⣿⣿⣿⣿⠿⠿⣿⣟⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⢸⠛⠛⠛⠿⣿⡟⠉⠹ ⣿⢸⣿⣿⣿⡿⠀⢸⣧⠀⢼⣿⣿⣿⣿⠀⠀⠀⠀⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⢸⠿⠁⠙⠿⣿⣿⣶⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠻⠃⠀⠀ ⣿⢀⣤⠾⠿⠗⠀⠀⠋⠀⢸⣿⣿⣿⡟⠁⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠛⠛⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠿⠿⠻⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠠⠀ ⣿⠀⠛⠀⠀⠀⢰⣦⣇⠀⠀⠹⠿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄ ⣿⠀⠀⠀⠀⠀⠈⣿⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⡀⠀⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁ ⢹⠀⠀⠀⠀⠀⠀⠘⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡙⣷⣾⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀ ⢸⠀⠀⠀⠀⠀⠀⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢹⠏⠻⠿⠃⠀⢄⣀⠀⠀⠀⠀⠀⠀⣿⣿ ⢸⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⠤⢄⣀⣀⣀⡉ ⠈⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡿⣻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡜⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣄⠀⠐⣄⠀⠀⠈⠛⢩⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⢶⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣤⣼⣷⡄⢠⣴⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠖⠶⣶⠏⢶⠄⠰⠶⢿⡿⢺⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⠟⠁⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⡇⠘⢸⡿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢻⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⡿⢣⡄⠀⠀⠀⠙⢛⣻⡭⠿⠿⣿⣿⣿⣾⡦⠷⣿⠷⠷⠦⣷⣾⣶⣿⣿⣶⡤ ⠛⡷⠦⡸⠇⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢵⣶⣶⣶⣾⣿⣿⣿⣿⣿⣷⣰⣷⣤⣴⣿⣿⣿⣿⣿⣶ ⠀⠂⠀⣀⣀⠀⢿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢰⣿⣿⣀⣸⡿⢻⣿⣿⠏⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠠⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠻⢿⣿⣿⣽⣽⡇⢰⡇⠛⠀⣀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡆⢰⠀⣠⣈⣻⢿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⢀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣠⣼⣿⣿⣿⢹⠇⠸⠇⠀⠀⠟⠄⠸⠀⠤⠤⠀⠀⠘⠛⠃⠘⠰⣿⣿⠿⠿⠿⠟⠛⠿⠿⠿⠿⠿⠇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠊⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠈⠉⠛⠛⠿⠿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⢀⣼⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⠒⣠⣤⠀⣠⣄⣀⠀⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡄⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⠀⠀⠟⠋⠉⠉⠻⢿⣿⣿⣿⣿⡟⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ 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⣿⢀⣤⣤⣿⣿⠀⢀⡀⠀⢀⣾⣿⣿⣿⠀⠀⠀⠀⣿⢙⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠁⢸⡀⢿⣿⣿⣿⡟⠛⠻⠿⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⢸⠛⠛⠛⠿⣿⡟⠉⠹ ⣿⢸⠿⣿⣿⡟⠀⢸⣷⠀⣾⣿⣿⣿⣿⠀⠀⠀⠀⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⢸⠇⠈⠻⢿⣿⣷⣷⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠻⠁⠀⠀ ⣿⢠⣼⡿⠿⠇⠀⠀⠋⠀⢸⣿⣿⣿⡟⠁⠀⠀⠀⠉⠉⠉⠉⠉⠉⠙⠛⠛⠛⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⠟⠛⠿⠭⠛⠉⠉⣩⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢀⠙⠁⠀⠀⢶⣴⣇⠀⠘⢿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡧⠄⣀⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⠀⠀⠀⠈⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣧⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⠀⠀⠀⠀⠀⠀⠸⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⢳⣦⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀ ⢸⠀⠀⠀⠀⠀⠀⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⡿⠙⠿⠟⠓⠠⣀⡀⠀⠀⠀⠀⠀⠘⣿⣿ ⢸⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣛⣩⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⢤⣀⣀⣀⡀⠋ ⠈⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⢟⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡔⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣄⠀⢤⡀⠀⠈⠙⠉⣡⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⢦⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣷⣤⣿⡦⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠖⠶⣶⠏⢶⠄⠰⠶⢿⡿⢺⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡟⠋⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⡇⠘⢸⡿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢺⣿⣿⣿⣿⣿⣿⣿⣿⡇⢹⣿⣿⣿⣿⡿⠆⠀⠀⠀⠀⠀⢀⡟⢠⡄⠀⠀⠈⠛⣛⠉⠁⠀⠠⠤⠀⠠⠤⠤⠤⠆⠤⠤⠄⠤⣴⣶⣶⣶⣦⠄ ⠙⠷⠀⡘⠇⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡟⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠈⣴⣶⣶⣶⣴⣾⣿⣿⣿⣿⣷⣰⣷⣤⣴⣿⣿⣿⣿⣿⡦ ⠀⠀⠀⣀⡀⠀⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠈⠻⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢐⣿⣿⣀⣸⡿⢻⣿⣿⠇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠉⠙⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠻⢻⣿⣿⣽⣹⡇⢠⡇⠉⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡀⠸⠀⣀⡀⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⡰⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯ ⠀⣠⣼⣿⣿⣿⢸⠃⠸⠂⠀⠀⠏⠀⢰⢀⣤⣤⣠⣤⢲⡟⣿⣛⠰⣿⣿⠿⠿⠿⠟⠛⠻⠿⠿⠟⠿⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠁⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠈⠉⠛⠛⠻⢿⣿⣦⣤⢠⣶⢰⣾⣼⣿⡞⣿⢹⡇⣿⣿⣧⢻⣏⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⡀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⢹⣿⣿⣿⣿⣿⣿⣷⣀⣠⣾⣿⡀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡿ ⢀⠒⣠⣤⠀⢀⣿⣸⣿⣿⣿⡇⣿⢻⡿⣧⢿⣿⡿⣼⡏⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡆⠀⠀⠛⠉⠀⠀⠙⢿⣿⣿⣿⡿⣏⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⠀⠉⠹⣿⡏⣻⡏⣿⠹⠟⠗⠙⠋⠁⠉⠀⠀⢀⣿⣧⣿⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠈⣱⣦⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠀⠀⠀⢨⣿⠀⠀⠀⠀⣀⣤⣤⣴⣦⢰⣏⣿⡼⣿⣿⣿⣿⣿⣿⣿⠁⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠂⠀⣤⣞⣛⣿⣿⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢀⣠⣤⣾⣿⠀⢀⡀⠀⢻⣿⣿⣿⣿⡌⣿⣸⡧⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠘⡀⢿⣿⣿⣿⡟⠛⠻⠿⣥⣶⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠸⠛⠛⠛⠻⣿⡟⠉⠹ ⣿⠸⠿⢿⣿⡟⠀⢸⣧⠀⢸⣿⣿⣿⣿⠓⠉⠉⠁⣿⣸⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⢸⠇⠀⠙⠻⣿⣷⣦⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠻⠀⠀⠀ ⣿⢠⣴⡿⠿⠇⠀⠀⠉⠀⠀⣿⣿⣿⣯⣥⢠⣶⣶⡝⣿⢻⣏⢹⣿⠙⣿⢻⣿⣿⡟⣿⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠟⠛⠉⠩⠭⠋⠉⠉⣉⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢀⣈⣁⡀⣤⣴⣤⣶⣿⣿⢿⣿⣟⢹⣷⠎⣿⢨⣤⢿⣟⣿⠀⠿⠄⠻⠃⠙⠋⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢻⣏⣷⢻⡿⣿⣿⣧⣿⡤⣿⣻⡞⡿⠶⠙⠛⠋⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣦⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢄⠀⠀⢀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⠀⠸⣿⠀⠸⠷⠻⣿⡟⠋⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢳⣦⣼⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀ ⢸⠀⠀⠁⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠈⡿⠙⠿⠟⠓⠠⣀⡀⠀⠀⠀⠀⠀⠀⢶⣿ ⢸⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⠤⣀⣀⣀⡀⠀ ⠈⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣴⣿⡿⢛⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡔⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣄⠀⢠⡀⠀⠀⠈⠉⣠⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⠦⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣶⣄⣻⡦⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠖⠶⣶⠏⢶⠄⠰⠶⢿⡿⢲⠐⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡟⠋⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⡇⠘⢸⡿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣿⣿⣿⣿⣿⣿⣿⣿⡏⢹⣿⣿⡿⣿⡿⠄⠀⠈⠠⣤⡀⠀⠀⠀⠒⠺⣿⡿⠿⠋⠉⠉⠀⠠⠄⠠⠤⠤⠤⠤⠤⠠⠤⠄⠤⣶⣶⣶⣶⣦⠄ ⠛⠷⠀⡘⠇⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠏⠉⠀⠀⠀⠀⠀⠉⠀⠟⠀⠀⠀⠀⠉⢓⣤⣤⢠⣶⣦⣶⣴⣾⣿⣿⣿⣿⣷⣰⣷⣤⣴⣿⣿⣿⣿⣿⡆ ⠀⠀⠀⣀⡀⠀⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡆⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢐⣿⣿⣀⣸⡿⢻⣿⣿⠇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⣻⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣴⣶⣶⣶⣶⡀⠠⠀⠀⠀⢹⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠻⢻⣿⣿⣽⣹⡇⢠⡇⠉⠀⣀⠀⠀⠀⠀⠀⠀⠀⠠⣶⡄⠰⠀⣀⣀⡛⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⢘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟ ⠀⣠⣼⣿⣿⣿⢸⠃⠸⠇⠀⠀⠏⠀⢰⢀⣤⣤⣠⣤⢺⡟⣿⣛⠰⣿⣿⠿⠿⠿⠟⠛⠻⠿⠏⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠋⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠈⠉⠛⠛⠻⢿⣿⣦⣤⢠⣶⢰⣾⣼⣿⡞⣿⢹⡇⣿⣿⣧⢻⣏⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⡀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⢀⣼⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠒⣠⣤⠀⢀⣿⣸⣿⣿⣿⡇⣿⢿⡿⣧⢿⣿⡿⣸⡏⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⣸⠀⠈⠹⣿⡏⣻⣏⣿⠹⠟⠗⠙⠋⠁⠉⠀⠀⢀⣿⣧⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠋⠁⠀⠀⠙⠻⣿⣿⣿⣿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠀⠀⠀⢸⣧⠀⠀⠀⠀⣀⣤⣤⣴⣦⢰⣏⣿⡼⣿⣿⣿⣿⣿⣿⣿⠁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⣲⣶⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢀⣤⣤⣿⣿⠀⢀⡀⠀⢻⣿⣿⣿⣿⡌⣿⣸⡧⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⣷⣞⣻⣽⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠸⠛⠛⠛⠻⣿⠟⠉⠹ ⣿⠸⠿⢿⣿⡟⠀⢸⣧⠀⢸⣿⣿⣿⣿⠓⠉⠉⠁⣿⣸⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⠿⠯⠀⠀⠹⣿⣿⣿⣿⠛⠛⠿⢫⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠻⠀⠀⠀ ⣿⠠⢴⡿⠿⠃⠀⠀⠉⠀⠀⣿⣿⣿⣯⣤⢠⣶⣶⡝⣿⢻⡏⢹⣿⠙⣿⢻⣿⣿⡟⣿⢿⡇⠀⠀⠀⠀⠀⠀⠈⠛⢿⣾⣶⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢠⣈⣁⡀⣤⣴⣤⣷⣿⣷⢿⣿⣿⢹⣷⠎⣿⢨⣤⢿⣟⣿⠀⠿⠄⠻⠃⠙⠋⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠟⠉⠁⠨⢽⣛⣯⣽⣿⣿⣿⣿⣿⣿⣿⣟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢻⣏⣷⢻⡿⣿⣿⣧⣿⡤⣿⣻⡞⡿⠶⠙⠛⠋⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⢄⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠸⣿⠀⠸⠷⠻⣿⡟⠋⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⢿⣦⣼⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀ ⢸⠀⠀⠁⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠟⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠸⠏⠙⠛⠛⠓⠠⣀⡀⠀⠀⠀⠀⠀⠀⠾⣿ ⢸⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠻⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠲⠤⠤⢤⣀⣀⡀ ⠈⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⡿⢫⣾⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡔⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠛⢁⣴⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⠢⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣶⣷⣄⡈⣓⠄⢀⣠⣾⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠶⠶⣶⠏⢶⠄⠰⠶⢿⡿⠲⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⡿⠋⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⡇⠘⢸⡿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣺⣿⣿⣿⣿⣿⣿⣿⣿⡍⢹⣿⣿⡿⣿⢿⣦⣤⣠⡄⠁⠀⠀⠤⣬⡢⢴⣿⡿⠿⠛⠉⠉⠀⠠⠄⠠⠤⠤⠤⠤⠤⠤⠤⠄⠤⣴⣶⣶⣶⣦⠄ ⠙⠷⠀⡘⠇⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⡿⠏⠉⠀⠉⠘⠿⠃⢰⡆⠀⠀⠀⠀⠦⣄⣤⣤⣤⣤⣶⣶⣶⣴⣾⣿⣿⣿⣿⣷⢰⣷⣤⣴⣾⣷⣿⣿⣷⡆ ⠀⠀⠀⣀⡀⠀⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣟⠛⠀⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⠐⣿⣿⣀⣘⡿⢻⣿⣿⠇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⣻⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡄⠀⠀⠀⠀⠹⣷⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠻⢺⣿⣿⣽⣹⡇⢠⡇⠉⠀⣀⠀⠀⠀⠀⠀⠀⠀⢀⣶⡄⠰⠀⣀⣀⠙⢿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⣀⣴⣶⣾⣿⣿⣿⣿⣿⣷⣄⠁⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯ ⠀⣠⣼⣿⣿⣿⢸⠃⠸⠇⠀⠀⠏⠀⢰⢀⣤⣤⡠⣤⢲⡟⣿⣛⠰⣿⣿⠿⠿⠿⠟⠛⠻⠁⠀⠀⠀⢀⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⢐⠦⣽⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠈⠉⠛⠛⠻⢿⣿⣦⣤⢠⣶⢰⣾⣼⣿⡞⣿⢹⡇⣿⣿⣧⢻⣏⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⡀⠀⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣟ ⠀⠒⣠⣤⠀⢀⣿⣸⣿⣿⣿⡇⣿⢿⡿⣧⢿⣿⡿⣸⡏⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⠀⠈⠹⣿⡏⢻⡏⣿⠹⠟⠗⠙⠋⠁⠉⠀⠀⢀⣿⣧⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢹⣿⣿⠿⠿⣿⣿⣿⣿⣿⣁⡴⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⣼⠀⠀⠀⢸⣧⠀⠀⠀⠀⣀⣤⣤⣴⣦⢰⣏⣿⡼⣿⣿⣿⣿⣿⣿⣿⠀⣼⣿⣿⣿⣿⣿⣿⣧⠀⠀⠈⠉⠀⠀⠀⠈⠻⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢀⣤⣴⣿⣿⠀⢀⡀⠀⢻⣿⣿⣿⣿⡌⣿⣸⡧⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⢀⣠⣼⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠛⠛⠛⠻⣿⡟⠉⠙ ⣿⠘⠻⣿⣿⡟⠀⢸⣧⠀⢼⣿⣿⣿⣿⠓⠉⠉⠁⣿⣸⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⠿⠆⠀⢰⣯⣽⣾⣿⣏⣿⣿⣿⠿⣿⣿⣽⣻⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠿⠀⠀⠀ ⣿⠠⢴⡿⠿⠃⠀⠀⠉⠀⠀⢿⣿⣿⣯⣤⢠⣶⣶⡝⣿⢻⡏⢹⣿⠙⣿⢻⣿⣿⡟⣿⢿⡇⠀⠀⠀⠀⠘⢿⣿⣿⢿⠉⠉⠛⢻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⣈⣁⡀⣤⣴⣤⣷⣿⣷⢿⣿⣿⢹⣷⠎⣿⢨⣤⢿⣟⣿⠀⠿⠄⠻⠃⠙⠋⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⣿⡦⠴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⠀⢻⣏⣷⢻⡿⣿⣿⣷⣿⡤⣯⣻⡟⡿⠶⠙⣛⡋⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡛⠀⠀⠰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡕⣄⡀⠀⢀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠸⣿⠀⠸⠷⠻⣿⡟⠋⠀⠈⠉⣆⠀⠀⢸⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣦⡀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠘⣿⣦⣼⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀ ⢸⠀⠀⠁⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠁⠀⠀⠘⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢷⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠛⠀⠙⠛⠛⠓⠤⣀⡀⠀⠀⠀⠀⠀⠐⡮⣿ ⢸⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣉⣽⣿⣿⣿⣽⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠲⠤⠤⠤⣄⣀⣀ ⠈⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⣠⣀⣀⣼⣿⣷⡀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠿⣩⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣷⠀⢠⡔⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠞⢁⣾⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡆⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠤⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠶⠶⣶⠏⢶⠦⠰⠶⢿⡿⢠⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣶⣦⡄⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⡇⠘⢸⡿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⢹⣿⣿⣿⣿⣿⣧⣠⡤⠅⠀⠀⢠⣀⡁⠰⢾⣾⡿⠿⠟⠉⠁⠀⠠⠄⠨⠥⠤⠤⠤⠤⠤⠤⠄⠤⠶⣶⣶⣶⣦⡄ ⠙⠷⠄⡘⠇⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⠿⠋⠙⠂⠻⠿⠃⢠⠄⠀⠀⠀⠐⢦⣤⠠⣤⣶⣤⣤⣶⣶⣶⣴⣾⣿⣿⣿⣿⣷⢰⣷⣤⣴⣿⣿⣿⣿⣿⡆ ⠀⠀⠀⣀⡀⠀⢽⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢷⣟⠛⠛⠁⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⣿⣿⣀⣘⡿⠻⣿⣿⠇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢻⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠈⠙⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠻⢾⣿⣿⣽⣹⡇⢠⡇⠙⠀⣀⠀⠀⠀⠀⠀⠀⠀⠠⣶⡆⢰⠀⣀⣀⠙⢿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⣶⣾⣿⣿⣿⣷⣌⠐⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣠⣼⣿⣿⣿⢹⠇⠸⠇⠀⠀⠟⠀⢰⢀⣤⣤⣠⣤⢲⡟⣿⣛⠰⣿⣿⠿⠿⠿⠟⠛⠃⠀⠀⠀⠀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⡶⣽⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠈⠉⠛⠛⠻⢿⣿⣦⣤⢠⣶⢰⣾⣼⣿⡞⣿⢹⡇⣿⣿⣧⢻⣏⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⢀⠀⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠒⣠⣤⠀⢀⣿⣸⣿⣿⣿⡇⣿⢿⡿⣧⢿⣿⡿⣸⡏⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⠀⠈⠹⣿⡟⢻⣏⣿⠹⠟⠗⠙⠋⠁⠉⠀⠀⢀⣿⣧⣿⣿⣿⣿⣿⡟⢻⣿⣿⣿⣿⣿⡇⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⣈⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⣼⠀⠀⠀⢸⣧⠀⠀⠀⠀⣀⣤⣤⣶⣦⢰⣟⣿⡼⣿⣿⣿⣿⣿⣿⣿⠁⢼⣿⣿⣿⣿⣿⣷⠀⠀⠀⠛⠉⠉⠉⠙⠻⣿⣿⣿⣿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢀⣤⣴⣾⣿⠀⢀⡀⠀⢻⣿⣿⣿⣿⡌⣿⣸⡧⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⣠⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠛⠛⠛⠿⣿⡟⠉⠹ ⣿⠸⠻⣿⣿⡟⠀⢸⣧⠀⢼⣿⣿⣿⣿⠓⠉⠉⠁⣿⡿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⢠⣚⣛⣻⣿⡿⢻⣿⣿⣿⣿⣿⣟⡿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠿⠀⠀⠀ ⣿⠠⣴⡿⠿⠃⠀⠀⠉⠀⠈⢿⣿⣿⣯⣤⢠⣶⣶⡿⣿⣿⣿⣿⣿⠛⣿⢻⣿⣿⡟⣿⢿⡇⠀⠀⠀⠈⢿⣿⣿⡿⠟⠻⠿⠟⣵⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⠠⣈⣁⡀⣤⣴⣤⣷⣿⣷⢿⣿⣿⢹⣷⠎⣿⣨⣥⣿⣿⣿⣟⣿⠄⠻⠃⠙⠋⠀⠁⠀⠀⠀⠀⠀⠀⠀⠙⢿⣾⣧⡄⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⢻⣏⣷⢻⡿⣿⣿⣷⣿⡤⣿⣻⡞⡿⠶⠙⠛⣻⣿⣿⣿⣿⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠉⠁⠠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣧⠑⣄⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠸⣿⠀⠸⠷⠻⣿⡟⠋⠀⠈⠁⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣤⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡆⠸⣿⣦⣼⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀ ⢸⠀⠀⠁⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣦⣤⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠃⠈⠛⠻⠛⠓⠄⣀⡀⠀⠀⠀⠀⠀⠰⡜⠿ ⢸⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠈⠛⠛⣻⣿⣿⣿⣯⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠲⠤⠤⠤⣄⣀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⣿⣿⠟⣽⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂⠀⣤⣤⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠟⣡⣾⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⢄⡏⠀⠀⠀⠀⣠⣤⣤⣾⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠶⠶⣶⠏⢶⠦⠴⠶⢿⡿⢠⠀⠇⠀⠀⢀⣾⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣄⣀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⡇⠘⢸⡿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢹⣿⣿⣿⣿⣿⣦⣤⡤⠄⠀⠀⣤⣈⠀⠠⣾⣿⡿⠿⠟⠉⠁⠀⠠⠄⠬⠴⠤⠤⠤⠤⠠⠤⠄⢤⣴⣶⣶⣶⣤⠄ ⠛⠷⠤⡘⠇⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡿⠛⠉⠙⠃⠻⠿⠀⣠⠀⠀⠀⠀⠐⢤⣤⠀⣤⣤⣤⣤⣶⣶⣶⣴⣿⣿⣿⣿⣿⣷⢰⣷⣤⣴⣾⣿⣿⣿⣿⣆ ⠀⠀⠀⣀⡀⠀⢽⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⡟⠛⠛⠁⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⣿⣿⣀⣘⡿⢻⣿⣿⠇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣻⣿⣿⣿⣿⣿⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠈⢻⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠻⢿⣿⣿⣽⣹⡇⢠⡇⠙⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡆⢰⠀⣀⣀⡙⢿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣶⣾⣿⣿⣿⣯⡀⠂⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣠⣼⣿⣿⣿⢹⠇⠸⠇⠀⠀⠟⠀⢰⢀⣤⣤⣠⣤⢲⡟⣿⣛⠰⣿⣿⠿⠿⠿⠟⠛⠁⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⢰⢎⣻⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠈⠉⠛⠛⠻⢿⣿⣦⣤⢠⣶⢰⣾⣼⣿⡞⣿⢹⡇⣿⣿⣧⢻⣏⣤⣤⣤⣤⣤⣤⣤⣤⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠐⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣟ ⠀⠒⣠⣤⠀⣀⣿⣸⣿⣿⣿⡇⣿⢿⡿⣧⢿⣿⡿⣸⡏⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⠀⠈⢻⣿⡟⢻⣏⣿⠹⠟⠗⠙⠋⠁⠉⠀⠀⢀⣿⣧⣿⣿⣿⣿⣿⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⠟⣽⣿⣿⣿⣿⣿⣿⣿⡧⢀⣩⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⣸⠀⠀⠀⢿⣧⠀⠀⠀⠀⣀⣤⣤⣶⣦⢰⣟⣿⡼⣿⣿⣿⣿⣿⣿⣿⠅⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠉⠉⠉⠻⣿⣿⣿⣷⣿⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢠⣶⣴⣿⣟⠀⢀⠀⠀⢻⣿⣿⣿⣿⡌⣿⣸⡧⣿⣿⣿⣿⣿⣿⣿⠄⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⢀⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠛⠛⠛⠿⣿⡟⠉⠹ ⣿⠘⠛⣿⣿⡏⠀⢻⡄⠀⣿⣿⣿⣿⣿⠓⠉⠉⠁⣿⣼⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣜⣛⣫⣿⣿⢻⣿⣿⣿⣿⣿⣟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠿⠀⠀⠀ ⣿⠠⣾⠿⠿⠃⠀⠀⠁⠀⠘⣿⣿⣿⣯⣤⢠⣶⣶⡝⣿⢻⡏⢹⣿⠙⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⢹⣿⣿⡿⠗⠛⠿⠿⣫⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⠠⣈⣀⡀⣤⣶⣼⣶⣿⣷⢿⣿⣟⢹⣷⠎⣿⢨⣤⢿⣟⣿⠀⠿⠄⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠙⠿⣶⣷⣄⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⢟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢺⠀⢻⣏⣷⢻⡿⣿⣿⣷⣿⡤⣯⣻⡞⡿⠶⠙⠛⠋⠀⠉⠁⠀⠀⢸⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠟⠀⠁⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡄⢳⣄⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠸⣿⠀⠸⠷⠻⣿⠟⠋⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠱⣦⡀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⡀⢻⣷⣤⣸⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠁⠀⠀⠀⠀⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢦⣤⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⠀⠈⠛⠿⠛⠳⣄⡀⠀⠀⠀⠀⠀⠀⠠⠀⠿ ⢸⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠃⠀⠙⠛⠟⣿⣿⣿⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠦⠤⠤⢤⣀⣀⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠿⢫⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂⠀⣤⣤⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠿⢋⣴⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⢄⡏⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠶⠶⣶⠏⢶⠴⠰⠶⢿⡿⢠⠀⠇⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⡀⠀⠀⠀⠀⠀⠐⢿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⡟⠘⢸⡿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⢹⣿⣿⣿⣿⣿⣧⣤⡤⠤⠀⠀⣄⣀⠀⠠⢼⣿⣿⠿⠟⠉⠁⠄⠠⠄⠤⢴⠤⡤⠤⠦⠤⠤⠄⢠⣴⣶⣶⣶⣴⡄ ⠙⠷⠤⡈⠇⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⠟⠋⠉⠃⠹⠿⠃⢠⠄⠀⠀⠀⠐⢤⣤⡀⣤⣴⣤⡄⣶⣶⣶⣴⣾⣿⣿⣿⣿⣷⢴⣷⣤⣴⣾⣿⣿⣿⣿⣦ ⠀⠀⠀⣀⣀⠀⢹⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠹⣧⣟⠛⠛⠁⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⣿⣿⣀⡘⣿⠻⣿⣿⠗⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣻⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠈⠛⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠺⢿⣿⣿⣽⣽⡇⢀⡏⠙⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡆⠠⠀⣀⣀⡙⠿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣶⣶⣿⣿⣿⣯⡁⠂⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣀⣼⣿⣿⣿⢹⡇⠸⠇⠀⠀⠿⠀⢰⢀⣠⣤⣠⣤⢺⡟⣿⣛⠠⣿⣿⠿⠿⠿⠟⠛⠁⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⡮⣹⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠉⠛⠛⠻⢿⣿⣷⣤⢠⣶⢰⣾⣼⣿⡞⣿⢹⡇⣿⣿⣧⢻⣏⣠⣤⣤⣤⣤⣤⣤⣤⣤⣾⣶⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⠐⣠⣤⠀⢀⣿⣸⣿⣿⣿⡇⣿⢻⡿⣧⢿⣿⡿⣸⡏⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⠀⠈⠻⣿⡿⢻⡏⣿⠹⠟⠗⠙⠋⠁⠉⠀⠀⢀⣿⣧⣿⣿⣿⣿⣿⡟⢻⣿⣿⣿⣿⣿⣟⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⣈⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⠀⠀⠀⢻⣷⠀⠀⠀⠀⣀⣤⣤⣶⣦⢰⣟⣿⡼⣿⣿⣿⣿⣿⣿⣿⣇⣼⣿⣿⣿⣿⣿⣿⠁⠀⠘⠛⠉⠉⠉⠻⢿⣿⣿⣿⣾⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⢠⣶⣴⣾⣟⠀⢀⠀⠀⢻⣿⣿⣿⣿⡌⣿⣸⡇⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⣤⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠛⠛⠛⠻⣿⡟⠉⠙ ⢸⠘⠻⢿⣿⡏⠀⢹⡄⠀⢿⣿⣿⣿⣿⠓⠉⠉⠁⣺⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠄⠀⣶⣛⣛⣿⣿⠿⣿⣿⣿⣿⣿⣟⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠿⠃⠀⠀ ⢸⡃⣾⠿⠿⠃⠀⠀⠁⠀⠈⣿⣿⣿⣯⣤⢠⣶⣶⡝⣿⢻⣏⢻⣿⣿⣿⣿⣿⣿⡟⣿⢿⡇⠀⠀⠀⢻⣿⣿⡿⠟⠚⠿⠿⢯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡄⣈⣀⡀⣤⣶⣤⣷⣿⣷⢿⣿⣟⢹⣷⠎⣿⢨⣤⢿⣟⣿⣼⣿⣿⣿⣿⣿⡏⠀⠁⠀⠀⠀⠀⠀⠀⠙⠿⣷⣷⣄⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⢟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠇⢻⣏⣷⢻⡿⣿⣿⣷⣿⡤⣯⣻⡞⡿⠶⠙⠛⠋⠀⠉⠁⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠈⠉⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠱⣄⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠁⠸⣿⠀⠸⠷⠻⣿⠟⠋⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣦⡀⠀⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⢻⣷⣦⣸⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠁⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢦⣤⠼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠁⠈⠛⠻⠛⠻⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠿ ⢸⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠙⠻⠿⣿⣿⣿⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠤⠤⠤⣤⣀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣿⣿⡿⢟⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⢤⣤⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠟⣠⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⢠⡝⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠖⠶⣶⠏⢶⠤⠰⠶⢿⣿⢨⠀⡟⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠈⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢛⡟⠈⠱⡿⢿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣏⠸⣿⣿⣿⢿⣿⣧⣤⣤⡤⠄⠀⠀⢤⣈⠀⠴⢿⡿⠟⠋⠉⠁⠀⠀⠄⠠⠤⠤⠤⠴⠶⠠⠤⠄⠠⠴⠶⠶⣶⣶⠄ ⠙⠳⠀⡀⠇⠾⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⠿⠋⠈⠈⠉⠹⠿⠁⣠⠀⠀⠀⠀⠐⢤⡀⣤⣶⣦⡄⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣶⣿⣦⣤⣿⣿⣿⣿⣿⣷ ⠀⠀⠀⣀⣀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠻⣿⡛⠛⠁⠘⠻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⣿⣿⢂⡈⣿⠛⣿⣿⡟⡀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣻⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠈⢻⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠚⢻⣿⣿⣼⣅⡏⠀⡏⠉⠀⢀⡀⢸⣿⣿⣄⠀⠀⠀⣾⡆⠀⠀⢀⣄⡙⠻⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⢀⣠⣴⣶⣾⣿⣿⣿⣿⣿⣯⡁⠂⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣀⣼⣿⣿⣿⢹⡇⠘⠇⠀⠀⠸⠠⢾⣿⣿⣿⣦⣦⢲⡞⣿⣛⠂⣿⣿⠿⠿⠿⠿⠛⠋⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⢠⢍⣿⡿⢿⣿⣿⣿⣿⣿⡿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠉⠙⠛⠛⢿⣿⣷⣤⢠⣶⢰⣿⣼⣿⣿⣿⣿⣇⣿⣿⣧⢻⣏⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡄⠈⠸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⠘⢠⣦⡀⣀⣿⣸⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⡏⢻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣾⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⡇⠈⠹⣿⣿⢻⣇⣿⠹⠟⠗⠙⢋⣿⣿⣿⣿⣿⣿⣧⣾⣿⣿⣿⣿⡟⢹⣿⣿⣿⣿⣿⣿⠀⠀⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⣀⠥⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⡇⠀⠀⢹⣿⠀⠀⠀⠀⣀⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⡄⠀⠀⠉⠁⠀⠀⠈⠛⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⡇⣶⣴⣾⣿⠀⢀⡀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⡇⣸⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⢀⣀⣰⣦⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⠻⣿⡟⠉⠉ ⢸⡇⠛⢿⣿⡏⠀⢸⣦⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣾⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠇⠀⢸⣭⣭⣽⣿⡟⣻⣿⣿⣿⣿⣿⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠻⠃⠀⠀ ⢸⡇⢼⠿⠟⠃⠀⠀⠉⠀⠰⣿⣟⡋⣿⣿⣿⣿⣿⡿⣿⢻⡏⢹⣿⠙⣿⢹⣿⣿⡟⣿⢿⡇⠀⠀⠀⠈⢿⣿⣿⢟⠛⠙⠛⢛⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡇⣈⣀⡀⣤⣵⣤⣷⣿⣷⢿⣿⣛⢻⣿⢿⣿⣿⣧⢿⣟⣿⠀⠿⠄⠻⠃⠙⠋⠀⠁⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣷⠄⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠻⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡇⢻⣏⣷⢻⡿⣿⣿⣿⣿⡤⣿⣻⡟⣿⢿⣿⣿⣿⣿⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠁⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣆⠈⢦⡀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡇⠸⣿⠀⠸⠷⠻⣿⡟⠋⠀⠈⠁⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠺⣦⡀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣆⠘⣿⢶⣤⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀ ⢸⠁⠀⠁⠀⠀⠀⠀⢹⣇⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⡄⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠁⠀⠉⠛⠛⠛⠦⣀⣀⠀⠀⠀⠀⠀⠀⠀⠻ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⣴⣦⣦⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠉⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠒⠲⠦⠤⢤⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⣴⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠿⣹⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⢠⣤⣿⣿⣿⣿⣿⡄⠀⠀⠀⢠⣄⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡽⠟⣡⣾⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⠀⠰⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠖⠶⣶⠏⢶⠄⡰⠶⠿⠟⠀⣶⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠛⡿⠈⠁⣿⢿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣮⣿⣿⣿⣿⣿⣿⣿⣿⣯⠙⣿⣿⣿⣿⣿⠷⣤⣤⣤⡤⠀⠀⠠⠬⣄⠴⣿⣿⠿⠟⠉⠁⠀⠀⠄⠠⠤⠤⠤⠴⠤⠀⠤⠄⠠⠴⠶⠶⣶⣶⠦ ⠉⠻⠄⡀⠿⠸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⠿⠟⠈⠀⠈⠁⠙⠟⠀⡴⠀⠀⠀⠀⠰⢄⣴⣶⣶⡄⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣦⣿⣦⣤⣾⣿⣿⣿⣿⣷ ⠀⠀⠀⢀⣀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⡛⠃⠘⠛⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⣿⣿⢇⡀⣿⣟⣿⣿⡿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣻⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀⠙⢻⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠘⠟⣿⣿⣼⣇⣿⣿⣿⠈⠁⢀⡀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⢠⣄⡙⠻⢿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⣀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣮⡁⠂⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣼⣿⣿⣿⡟⣿⢻⣿⣧⠀⠸⠀⢀⢂⣠⣤⣠⣤⢲⡟⣿⣛⠂⢾⣿⠿⠿⠿⠿⠛⠛⠃⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⡴⣙⣿⢿⣿⣿⣿⣿⣿⡿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠉⠙⠛⠛⠿⣿⣿⣼⣿⣿⢰⣾⣼⣿⡞⣿⢻⡇⣿⣿⣧⢻⣏⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠁⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⡀⢣⣦⡀⣀⣿⣿⣿⣿⣿⣿⣿⢿⡿⣧⢿⣿⡿⢸⡏⢻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠺⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣴⣾⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⡇⠈⠻⣿⣿⢻⣏⣿⡿⠿⣿⣿⣯⠁⠉⠀⠀⢀⣸⣿⣼⣿⣿⣿⣿⣟⢻⣿⣿⣿⣿⣿⣿⡇⠀⠀⢹⣿⠿⠿⠿⣿⣿⣿⣿⣷⢂⡤⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⡇⠀⠀⢸⣿⠀⠀⠘⠿⣠⣿⣿⣿⣦⢰⣟⣿⡜⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣷⠀⠀⠈⠀⠀⠀⠀⠈⢹⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⡇⣤⣤⣾⣿⠀⠀⠀⠀⢿⣿⣿⣿⣿⡌⣿⣸⡇⣿⡿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⣀⣤⣤⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⣿⡿⠉⠉ ⢸⡇⠛⢿⣿⡟⠀⠰⠇⠀⣾⣿⣿⣿⣿⣗⠉⠉⠁⢸⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠆⠈⣿⣶⣶⣾⣿⣙⣿⣿⣿⠿⣿⣿⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠻⠃⠀⠀ ⢸⡇⢰⠿⠿⠃⠀⠀⠀⠀⠃⢘⣿⣿⣿⣿⣧⣶⣶⡜⣿⢻⡏⢹⣿⠙⣿⢹⣿⣿⡟⣿⢿⡇⠀⠀⠀⠀⠸⢿⣿⡟⣉⠉⠉⠋⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡇⣈⣀⡀⣤⣼⣤⣶⣿⣧⢿⣿⣿⣿⣿⣿⣿⢨⣤⢿⣟⣿⠀⠿⠄⠻⠃⠙⠋⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⠿⠷⠄⠺⢿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⠛⢅⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠠⠀⠀⠀ ⢸⡇⢻⣏⣷⢻⡿⣿⣿⣧⣿⡦⣿⣿⣿⣿⣿⣿⠛⠋⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⠀⠀⡴⢚⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⢳⣄⠀⠀⣠⡀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡇⠸⣿⠀⠸⠷⠻⣿⡟⠛⠁⠉⢻⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⡄⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⠀⣿⣷⣤⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀ ⠀⡇⠀⠁⠀⠀⠀⠀⢹⣇⠀⠀⠀⠀⢿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣶⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⠀⠉⠙⠛⠛⠦⢀⣀⠀⠀⠀⠀⠀⠀⠀⠛ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⢠⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠿⠿⠿⢿⣿⣿⣿⣾⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠒⠲⠦⠤⢤⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣠⣼⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣸⣿⣿⠿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡘⢿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⢀⣤⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⢋⣴⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣺⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠖⠷⣶⠏⢶⠄⠰⠶⠶⡾⢽⣺⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣦⣀⠀⠀⠀⠀⠀⠐⢿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠛⣿⠀⠃⣿⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠘⣿⣿⣿⣿⡿⢷⣤⢤⣤⣤⠀⠀⠀⠬⢽⡰⣿⣿⠿⠟⠉⠀⠀⠀⠀⠠⠤⠶⠤⠤⠤⠴⠤⠤⠠⠶⠶⣶⣶⣶⠦ ⠈⠻⠆⡀⠻⠸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡿⠟⠉⠀⠀⠈⠀⠻⠃⣠⠆⠀⠀⠀⠀⠦⣰⣶⣶⡆⢴⣶⣶⣶⣿⣿⣿⣿⣿⣿⣦⣾⣦⣤⣾⣿⣿⣿⣿⣷ ⠀⠀⠀⢀⣀⠀⠸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣟⠃⠘⠻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⣿⣿⣇⣀⣿⡟⣿⣿⡿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⠉⢻⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣠⡀⠀⠀⠀⠈⠻⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠘⠟⣿⣿⣯⣏⣿⣿⣿⠈⠁⢀⡀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⡇⢀⣀⣘⠻⢿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣷⣌⠐⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣴⣿⣿⣿⡟⣿⣿⣿⣷⠀⠸⠀⢀⢂⣠⣤⣤⣤⢲⡞⣿⣛⠃⢾⣿⠿⠿⠿⠿⠛⠛⠋⠀⠀⠀⢠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⢠⢞⣿⡿⣿⣿⣿⣿⣿⡿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠉⠙⠛⠛⢿⣿⣿⣥⣿⣿⢰⣾⣼⣿⡞⣿⢹⡇⣿⣿⣧⢻⣏⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡀⠈⠸⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⡀⣃⣦⡀⣀⣿⣿⣿⣿⣿⣿⣿⢿⡿⣧⢿⣿⡿⢸⣏⢻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣦⣾⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⡇⠈⠛⣿⣿⢻⣏⣿⣿⢿⣿⣿⣯⠁⠉⠀⠀⢀⣸⣿⣼⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⠀⠀⠘⣿⠿⠿⠿⢿⣿⣿⣿⣿⣇⡤⠶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⡇⠀⠀⠸⣿⠀⠀⠇⠿⣠⣿⣿⣿⣦⢰⣏⣿⡜⣿⣿⣿⣿⣿⣿⣿⡏⢸⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⡇⣤⣤⣼⣿⠀⠀⠀⠀⢿⣿⣿⣿⣿⡌⣿⣸⡇⢿⡿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⣤⣴⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠛⠛⠛⣿⣿⠋⠉ ⢸⡇⠻⢿⣿⣿⠀⢠⠀⠀⣼⣿⣿⣿⣿⣗⠉⠉⠁⢸⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠧⠀⢿⣶⣶⣾⣿⣯⣿⣿⣿⠿⣿⣿⣯⣛⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠘⠋⠀⠀ ⢸⡇⢰⠸⠿⠋⠀⠀⠀⠐⠿⢹⣿⣿⣿⣿⣦⣶⣶⡜⣿⢻⡏⢹⣿⠙⣿⢹⣿⣿⡟⣿⢿⡇⠀⠀⠀⠀⠈⢿⣿⡟⣡⠀⠈⠉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀ ⢸⡇⣈⣀⡀⣤⣼⣦⣴⣿⣷⢿⣿⣿⣿⣿⣿⣿⢨⣤⢿⣟⣿⠀⠿⠄⠻⠃⠙⠋⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡿⠿⠄⠜⡿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⠛⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡇⢿⣏⣷⢻⡿⣿⣿⣧⣿⡦⣿⣿⣿⣿⣿⣿⠛⠋⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⠀⠀⢰⢚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠱⣄⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⡇⠸⣿⠀⠸⠷⠻⣿⡟⠛⠁⠙⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣆⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⢻⡷⣦⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀ ⠀⡇⠀⠁⠀⠀⠀⠀⢹⣧⠀⠀⠀⠙⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠀⠈⠙⠿⠛⠦⢀⣀⠀⠀⠀⠀⠀⠀⠀⠙ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⢘⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠻⠿⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠒⠦⠤⠤⢤⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⢀⣀⣀⣼⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⣿⣿⣿⢟⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⢁⠀⠀⠀⠀⠀⠀⢀⣤⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢿⠋⣡⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢫⣦⣽⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠈⢠⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠖⠿⣶⠏⢶⠄⠰⠶⠶⢿⠪⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣦⣄⠀⠀⠀⠁⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠛⣿⠀⠃⣿⠿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣷⣿⣿⣿⣿⣿⣿⣿⣯⡉⣿⣿⣿⣿⣿⠿⣤⣤⣤⣤⠀⠀⠀⠨⢽⣰⢿⣿⠿⠟⠉⠀⠀⠀⠀⠠⠤⠤⠤⠤⠤⠤⠤⠤⠀⠴⠶⢶⣶⣶⠶ ⠉⠻⠦⠀⠻⠸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡿⠟⠉⠀⠀⠈⠀⠻⠃⣠⠆⠀⠀⠀⠀⠢⣴⣶⣶⣦⢰⣶⣶⣶⣿⣿⣿⣿⣿⣿⣇⣾⣧⣤⣾⣿⣿⣿⣿⣷ ⠀⠐⠀⢀⣀⠀⠨⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣟⠃⠘⠛⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢸⣿⣇⣀⣻⠟⢿⣿⡿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣛⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣠⡀⡀⠀⠀⠈⠙⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠘⠟⣿⣿⣯⣏⣿⠀⣾⣾⣿⣆⡀⠀⠀⠀⠀⠀⠀⠀⣴⡦⠀⡇⢀⣄⣈⠻⢿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣷⣍⠑⠀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣤⣿⣿⣿⡏⡿⠀⠿⣿⣿⣿⡇⢀⢂⡠⣤⣤⣤⢰⡞⣿⣛⠃⢾⣿⠿⠿⠿⠿⠛⠛⠛⠀⠀⠀⢠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⢠⢞⣿⡿⣿⣿⣿⣿⣿⡿⠿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠉⠉⠛⠛⢻⣿⣿⣦⢰⣿⣹⣿⣿⣿⡞⣿⢹⡇⣿⣿⣧⢻⣏⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠈⠀⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⡀⢃⣤⣄⢀⣿⣼⣿⣿⣿⣯⣿⣿⣿⣧⢿⣿⡿⢸⣯⢻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣦⣾⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⡇⠈⠙⣿⣿⢻⣇⣿⢹⣿⣿⣿⣿⣿⡏⠀⠀⢀⣸⣿⣼⣿⣿⣿⣿⣿⠛⣿⣿⣿⣿⣿⣿⣿⠀⠀⠈⣿⠿⠿⠛⢿⣿⣿⣿⣿⣇⡄⠒⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⡇⠀⠀⠸⣿⠄⠀⠀⠘⣷⣿⣥⣿⣿⣿⣟⣿⡜⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⢀⠀⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⢠⡇⣤⣄⣴⣿⠀⠀⡄⢸⣿⣯⣼⣿⣿⣿⣿⣸⡇⢿⡿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⣤⣴⣴⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠛⠛⠛⢿⣿⠋⠉ ⢰⡇⠻⢿⣿⣿⠀⠘⣿⣍⢹⣿⣆⣿⣿⣿⣏⠉⠁⢸⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠷⠀⢻⣶⣶⣿⣿⣯⣿⣿⣿⠿⣿⣿⣯⣝⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠈⠛⠀⠀ ⠨⡇⢰⠘⠿⠛⠀⠀⠀⠀⠀⢾⣟⣿⣿⣿⣿⣷⣶⡜⣿⢻⡏⢹⣿⠙⣿⢹⣿⣿⡟⣿⢿⡇⠀⠀⠀⠀⠈⢿⣿⣟⣱⡀⠈⠉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⣈⣀⡀⣤⣼⣶⣾⣿⣧⢿⣿⣻⣿⣿⣿⣿⣮⣤⢿⣟⣿⠀⠿⠄⠻⠃⠙⠋⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡟⠻⠀⠘⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠠⠀⠀⠀ ⠀⡇⢿⣏⣷⢻⡿⣿⣿⣿⣿⡦⣿⣿⣿⣿⣿⣿⣿⡋⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠹⣤⡀⠀⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⠸⣿⠀⠸⠷⠻⣿⡿⠋⠁⠈⠉⣻⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣧⡀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⢹⡿⣦⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⡇⠀⠁⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠈⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠆⠈⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠀⠈⠙⠻⠛⠳⢄⣀⡀⠀⠀⠀⠀⠀⠂⠙ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠘⣻⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢛⣛⣿⣿⣿⣯⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠒⠲⠦⠤⠤⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⣀⢀⣴⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⢟⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠀⢿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⣤⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠛⣡⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣦⣹⣿⣿⣿⣾⠀⠀⠀⠀⠀⠀⠁⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢄⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠖⠾⣶⠏⢶⠄⠰⠶⠶⠾⠠⢽⣟⠿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣤⡀⠀⠀⠁⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠛⣿⠀⠁⣿⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣿⣿⣿⣿⣿⣿⣿⣯⡉⣿⣿⣿⢿⡿⠿⣤⠤⣤⣤⠀⠀⠀⠠⠭⣐⢿⣿⠿⠟⠉⠀⠀⠀⠀⠠⠤⠤⠤⠤⠤⠤⠤⠤⠀⠤⠶⣶⣶⣶⠦ ⠉⠻⠦⠀⠻⠸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⡿⠟⠉⠀⠀⠀⠀⠻⠋⢠⠆⠀⠀⠀⠀⠢⣤⣶⣶⡦⢰⣶⣶⣶⣿⣿⣿⣿⣿⣿⣆⣾⣦⣤⣾⣿⣿⣿⣿⣷ ⠀⠀⠀⢀⣀⠀⠨⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣟⠃⠘⠛⢛⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢸⣿⣇⣄⣻⠟⢿⣿⡿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢛⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡄⠀⠀⠀⠀⠙⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠘⠟⣿⣿⣯⣯⣿⠀⣼⢸⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⡄⢀⣄⣈⠻⢿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣷⣌⠑⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣤⣿⣿⣿⡇⡿⠀⠿⣿⢿⣿⡇⢀⢂⡠⣤⡤⣤⢰⡞⣿⣛⠃⢾⣿⠿⠿⠿⠿⠙⠛⠛⠀⠀⠀⢀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⢠⣎⣻⡿⣿⣿⣿⣿⣿⠿⠿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠉⠉⠛⠛⠻⣿⣷⣦⢠⣿⢹⣿⣿⣿⡞⣿⢹⡇⣿⣿⣧⢻⣏⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠈⠀⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⡀⢃⣤⣄⢀⣿⣼⣿⣿⣿⣏⣿⣿⣿⣧⢿⣿⡿⢸⣯⢻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣦⣾⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⡇⠈⠙⣿⣿⢻⣇⣿⠹⣿⣿⣿⣯⣿⡏⠀⠀⢀⣸⣿⣼⣿⣿⣿⣿⣿⠛⣿⣿⣿⣿⣿⣿⣿⠀⠀⠈⣿⠿⠿⠛⢿⣿⣿⣿⣿⣆⡄⠐⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⡇⠀⠀⠸⣿⠄⠀⠀⠀⣯⣿⣯⣿⣿⣿⣏⣿⡜⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⢀⠀⠉⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⡇⣠⣀⣴⣿⠀⠀⡄⢠⢿⣿⣽⣿⣿⡿⣿⣸⡇⢿⡿⣿⣿⣿⣿⣿⣟⢸⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⣤⣴⠶⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠛⠛⠛⢿⣿⠋⠉ ⢠⡇⠻⢿⣿⣿⠀⠈⣯⣌⣻⣿⠀⣿⣾⣿⣏⠉⠁⢸⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠷⠀⢻⣷⣶⣿⣿⣯⣿⣿⣿⠿⣿⣿⣯⣝⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠈⠛⠀⠀ ⠈⡇⢰⠘⠿⠋⠀⠀⠀⠀⠁⢸⣻⣿⣿⣿⣾⣷⣶⡜⣿⢻⡏⢹⣿⠙⣿⢹⣿⣿⡟⣿⢿⡇⠀⠀⠀⠀⠈⠻⣿⣟⣱⡀⠈⠉⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⣈⣀⡀⣤⣼⣦⣿⣿⣷⢿⣿⣛⣿⣿⣟⣿⣯⣤⢿⣟⣿⠀⠿⠄⠻⠃⠙⠋⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠻⠂⠚⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠫⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⢻⣏⣷⢻⡿⣿⣿⣿⣿⡦⣿⣿⣿⣿⣿⣿⣿⡏⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⡀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠘⣦⡀⠀⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⠸⣿⠀⠸⠷⠻⣿⡿⠋⠁⠈⠉⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⢹⡿⣶⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⡇⠀⠁⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠘⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠂⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠁⠈⠉⠻⠛⠳⢄⣀⡀⠀⠀⠀⠀⠀⠂⠛ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠙⢿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⣋⠿⢿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠒⠒⠦⠤⠤⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⢀⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⢶⣾⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⣤⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠛⣡⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⢐⢌⣻⣿⣿⣿⣵⡆⠀⠀⠀⠀⠀⠁⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠖⠾⣶⠏⢶⠄⠰⠶⠶⠶⠨⢙⡿⢿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣤⣀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡙⣿⠁⠁⣿⠿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⡉⣿⣿⣿⣿⡿⠿⠦⢤⠤⣤⡤⠀⠀⠀⠘⠷⠿⣿⠿⠟⠉⠁⠀⠀⠀⠠⠦⠤⠤⠤⠤⠤⠤⠤⠤⠤⠶⣶⣶⣶⠶ ⠉⠛⠖⢀⠹⠘⢿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⠟⠉⠀⠀⠀⠀⠀⠙⠁⠰⠃⠀⠀⠀⠀⠳⣶⣶⣦⢴⣶⣶⣶⣿⣿⣿⣿⣿⣿⣇⣾⣧⣤⣾⣿⣿⣿⣿⣿ ⠀⠐⠀⢀⣀⡀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣏⠈⠛⣟⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢸⣿⣇⣄⣻⠟⢿⣿⡿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢛⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣤⣤⣴⡄⣀⠀⠀⠀⢹⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠘⠛⣿⣿⣧⣯⣿⠀⣼⠈⠁⢀⡀⠀⠀⠀⠀⠀⠀⠀⣸⡧⠀⡇⢀⣄⣈⠻⠿⣿⣿⣿⣿⣿⠋⠀⠀⠀⢀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠁⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣤⣿⣿⣿⡏⣿⠀⠿⠀⠀⠸⠃⢀⢃⡠⣦⣤⣤⢰⡞⣿⣛⠃⢾⣿⠿⠿⠿⠿⠛⠛⠛⠇⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⡰⢍⣿⣿⣿⣿⣿⣿⡿⠿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠈⠉⠛⠛⠻⣿⢿⣦⢠⣶⢰⣾⣼⣿⡞⣿⢹⡇⣿⣿⣧⢻⣏⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⢸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿ ⠀⡀⢃⣦⣄⣀⣿⣼⣿⣿⣿⡇⣿⢿⡿⣧⢿⣿⡿⢸⣯⢻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⢩⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⡇⠉⠻⣿⣿⢿⡇⣿⠹⠟⠗⠙⠋⢁⣩⣤⡀⢀⣸⣿⣼⣿⣿⣿⣿⣿⠛⣿⣿⣿⣿⣿⣿⣿⣗⠀⠀⠸⠟⠛⠉⠉⠿⣿⣿⣿⣿⣥⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⡇⠀⠀⠘⣿⠆⠀⠀⠀⣀⣤⣶⣶⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡿⢰⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⣤⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⡇⢀⡀⢀⣿⠀⠀⣄⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢠⣷⣛⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠛⠛⠛⢻⣿⠋⠉ ⠀⣷⠸⢿⣿⣿⠀⠈⣿⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠇⠀⢿⣿⣿⡿⠿⠞⢿⡿⢟⣽⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠈⠛⠀⠀ ⠀⣿⢠⠘⠿⠛⠀⠀⢈⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢻⡏⢹⣿⠙⣿⢹⣿⣿⡟⣿⢿⡇⠀⠀⠀⠀⠀⠈⠛⢿⣵⣧⣄⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣸⣀⡀⣤⣼⣶⣿⣿⣷⢿⣿⣿⣿⣿⣿⣿⣯⣤⢿⣟⣿⠀⠿⠄⠻⠃⠙⠋⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠙⠉⢀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⢿⣏⣷⢻⡿⣿⣻⣧⣿⡦⣿⣿⣿⣿⢷⣹⣟⠋⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⣄⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⣦⡀⠀⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡿⠸⣿⠀⠸⠷⠻⠏⠛⠛⢱⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣦⣄⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠸⣿⢶⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⡇⠀⠁⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠀⠈⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠁⠀⠉⠻⠛⠳⢄⣀⡀⠀⠀⠀⠀⠀⠂⠸ ⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠞⢻⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠲⠤⠤⠤⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⢟⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠹⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣤⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠋⣠⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⠀⠀⠀⠘⣿⣿⠁⠀⠀⠀⠀⠀⠀⠁⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠢⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠖⠾⣶⠏⢶⠄⠰⠶⠾⢿⠀⠀⠀⢀⣯⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⡦⠀⠀⠀⠀⠛⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡙⣿⠁⠁⣿⠿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣶⣿⣿⣿⣿⣿⣿⣿⣯⡀⣿⣿⣿⣿⣿⠿⠆⠀⠠⠄⢤⡤⠀⠀⠀⠘⠺⠿⠿⠟⠉⠀⠀⠀⠀⠠⠤⠤⠤⠤⠤⠤⠤⠤⠠⠤⠶⡶⣶⣶⠤ ⠉⠻⠆⢀⠹⠘⢿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀⠈⠁⠸⠃⠀⠀⠀⠀⠓⢶⣦⢰⣶⣶⣶⣾⣿⣿⣿⣿⣿⣇⣾⣧⣤⣾⣿⣿⣿⣿⣿ ⠀⠀⠀⢀⣀⡀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣜⠛⢛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢸⣿⣇⣄⣻⠟⢿⣿⡿⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢙⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣴⣴⣦⣶⡄⢀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠐⠛⣿⣿⣧⣯⣿⠀⣼⠈⠁⢀⡀⠀⠀⠀⠀⠀⠀⠀⢰⣷⠀⡆⠀⣄⣈⠛⠿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⣠⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣤⣿⣿⣻⡏⣿⠀⠿⠀⠀⠸⠃⢀⢃⡠⣦⣤⣤⢰⡞⣿⣛⠃⢾⣿⠿⠿⠿⠿⠛⠛⠛⠿⠇⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⡴⢭⣿⣿⣿⣿⣿⡿⠿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠈⠉⠛⠛⢻⣿⢿⣦⢠⣶⢰⣾⣼⣿⡞⣿⢹⡇⣿⣿⣧⢻⣏⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⢸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿ ⠀⡀⢃⣴⣄⣀⣿⣼⣿⣿⣿⡇⣿⢿⡿⣧⢿⣿⡿⢸⣿⢻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡉⣩⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⡇⠙⠻⣿⣿⢿⣇⣿⠹⠟⠗⠙⠋⠁⠉⠀⠀⢀⣸⣿⣼⣿⣿⣿⣿⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠘⠋⠉⠀⠈⠛⢻⣿⣿⣿⣤⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⡇⠀⠀⠘⣿⡆⠀⠀⠀⣀⣤⣤⣶⣦⣴⣟⣿⡜⣿⣿⣿⣿⣿⣿⣿⡿⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⣀⣀⣦⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⡇⠀⠀⠀⣽⠀⠀⣄⠀⢻⣷⣿⣿⣿⡏⣿⣸⡇⢿⡿⣿⣿⣿⣿⣿⣟⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⢸⣯⣭⣭⣿⣿⢿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⡟⠛⠛⠛⢻⣿⠋⠉ ⠀⣿⠸⢷⣿⣿⠀⠀⣿⡆⢸⣿⣿⣿⣾⡗⠉⠉⠁⢰⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠇⠀⠀⢿⣿⣿⠟⡟⠛⠿⠟⣩⣽⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠛⠀⠀ ⠀⣿⠀⠐⠻⠛⠀⠀⠈⠀⠀⢿⣿⣿⣯⣥⢠⣶⣶⡜⣿⢻⡏⢹⣿⠙⣿⢹⣿⣿⡟⣿⢿⡇⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣷⣄⠠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣸⣀⡀⣤⣼⣶⣾⣿⣷⢿⣿⣿⢻⣷⠎⣿⢨⣤⢿⣟⣿⠀⠿⠄⠻⠃⠙⠋⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠉⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⢿⣏⣷⢻⡿⣿⣿⣿⣿⡤⣯⣻⡞⡿⠶⠙⢛⠋⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣄⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⢳⣄⠀⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡿⠸⣿⠀⠸⠷⠻⢿⡟⠋⠀⠈⠁⢀⣤⣀⣼⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣶⣄⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⣿⢷⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⠀⠁⠀⠀⠀⠀⠸⣷⠀⠀⠀⢠⣾⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⠀⠛⠿⢿⢿⣿⣿⣟⣿⣿⣿⣿⣿⠀⠉⠀⠉⠛⠟⠓⠤⣀⡀⠀⠀⠀⠀⠀⠀⠘ ⠀⠇⠀⠀⠀⠀⠀⠀⠀⢿⡗⢤⣰⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠦⠤⠤⠤⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣫⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⠟⣽⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠃⠀⢹⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⣤⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠙⠛⣡⣾⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣧⡄⢰⣿⣿⣿⣿⣿⠏⠻⡀⠀⠀⠀⠁⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣤⡀⠀⢑⠄⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠖⠾⣶⠏⢶⠄⠰⠿⠿⣿⠇⠀⠛⠻⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠗⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡙⣿⠃⠁⣿⠿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣷⣿⣿⣿⣿⣿⣿⣿⣿⡀⣿⣿⣿⣿⣿⠿⠄⠀⠀⠐⠀⢂⣴⠀⠀⠀⠐⠚⠿⠟⠋⠁⠀⠀⠀⠠⠤⠤⠤⠤⠤⠴⠤⠤⠀⠴⣶⡶⢶⣶⠤ ⠉⠻⠖⠀⠙⠸⢿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠈⠁⠸⠛⠀⠀⠀⠀⠙⢶⣴⣶⣶⣶⣾⣿⣿⣿⣿⣿⣧⣾⣷⣤⣾⣿⣿⣿⣿⣿ ⠀⠀⠀⢀⣀⡀⠀⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⢛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢸⣿⣇⣄⣹⠟⢿⣿⡿⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣤⣤⣦⣦⡆⢀⠀⠀⠀⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠈⠛⣿⣿⣧⣯⣿⠀⣼⠈⠁⢀⡀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⡇⠀⣤⣈⡛⡿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⢀⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣤⣿⣿⣿⡏⣿⠀⠻⠀⠀⠸⠃⢀⢃⡀⣦⣤⣤⢰⡞⣿⣛⠃⠼⣿⠿⠿⠿⠿⠉⠛⠛⠿⠿⠃⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⡲⢍⣿⣿⣿⢿⠿⠿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠈⠉⠛⠛⠛⣿⢿⣦⢠⣶⢰⣾⣼⣿⡞⣿⢹⡇⣿⣿⣷⢻⣏⣠⣤⣤⣤⣶⣶⣶⣦⣤⣤⣤⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⢺⣿⡀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿ ⠀⡀⢁⣴⣄⣀⣿⣼⣿⣿⣿⡇⣿⢿⡿⣧⢿⣿⡿⢸⣿⢻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣟⡉⣭⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿ ⠀⡇⠙⠻⣿⣿⢿⣇⣿⠹⠟⠗⠙⠋⠁⠉⠀⠀⢀⣸⣿⣬⣿⣿⣿⣿⣿⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠘⠋⠁⠀⠈⠛⢿⣿⣿⣿⣤⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣇⠀⠀⠈⣿⡆⠀⠀⠀⣀⣤⣤⣶⣦⣴⣟⣿⡜⣿⣿⣿⣿⣿⣿⣿⣿⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢀⡀⣀⣠⣦⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⡧⠀⠀⠀⣸⡀⠀⣄⠀⢻⣿⣿⣿⣿⡟⣿⣸⡇⢿⡿⣿⣿⣿⣿⣿⣿⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⠀⠀⢺⣯⣭⣭⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠟⠛⠛⠛⢻⣿⠋⠉ ⠀⣿⠸⢷⣾⣿⠁⠀⣿⡆⢸⣿⣿⣿⣾⡗⠉⠉⠁⢰⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠇⠀⠀⠈⢿⣿⣿⢟⠟⠛⠿⠿⣫⣽⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠛⠀⠀ ⠀⣿⠀⠀⠛⠋⠀⠀⠈⠀⠀⣿⣿⣿⣯⣥⢠⣶⣶⡜⣿⢻⣏⢹⣿⠙⣿⢹⣿⣿⡟⣿⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣷⣄⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣸⣀⡀⣤⣼⣶⣿⣿⣷⢿⣿⣿⢹⣷⠎⣿⢨⣤⢿⣟⣿⠀⠿⠄⠻⠃⠙⠋⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠋⠋⠁⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢠⡀ ⠀⣿⢿⣏⣷⢻⡿⣿⣿⣿⣿⡤⣿⣻⡞⡿⠶⠙⠛⠋⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⡄⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠹⣄⠀⢠⣄⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⡿⠸⣿⠀⠸⠷⠻⢿⡟⠋⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣶⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢹⣷⣾⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⡇⠀⠁⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠁⠈⠙⠟⠓⠤⣀⡀⠀⠀⠀⠀⠀⠀⠸ ⠀⠃⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠦⠤⠤⢤⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠿⢋⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠘⠛⢃⣴⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡄⠐⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣦⣄⠀⠈⡢⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠖⠶⣶⠏⢶⠄⡰⠶⠾⢿⡃⠄⠸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡷⠂⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡙⣿⠃⠁⣿⠿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⣿⣿⣿⣿⣿⣿⡦⠀⠀⠀⠐⠀⢠⣬⠀⠀⠈⠻⠿⣿⠉⠁⠀⠀⠀⠠⠤⠤⠤⠤⠤⠴⠤⠤⠀⠴⢶⡶⠶⣶⠦ ⠉⠻⠖⠀⠹⠘⢿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠈⠁⢰⡟⠀⠀⠀⠈⢶⣴⣶⣶⣶⣾⣿⣿⣿⣿⣿⣧⣾⣷⣤⣾⣿⣿⣿⣿⣿ ⠀⠀⠀⢀⣀⡀⠀⣿⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣿⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢸⣿⣇⣄⣹⠟⢻⣿⡿⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠈⠛⣿⣿⣧⣯⣿⠀⣼⠈⠁⢀⡀⠀⠀⠀⠀⠀⠀⠀⢰⣷⠀⡄⠀⣤⣈⣛⠿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢀⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡍⠒⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣤⣿⣿⣿⡏⣿⠀⠻⠀⠀⠸⠃⢀⢃⡀⣦⣤⣤⢰⡞⣿⣛⠃⠼⣿⠿⠿⠿⠿⠉⠛⠛⠿⠿⠛⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣼⣿⣿⣿⣿⡿⠿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠈⠉⠛⠛⠻⣿⢿⣦⢠⣶⢰⣾⣼⣿⡞⣿⢹⡇⣿⣿⣧⢻⣏⣠⣤⣤⣤⣴⣶⣶⣤⣤⣤⣤⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠡⣿⡇⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿ ⠀⡀⢉⣴⣄⣀⣿⣼⣿⣿⣿⡇⣿⢿⡿⣧⢿⣿⡿⢸⣿⢻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⢻⣿⣿⣿⣿⣿⣿⣧⣴⣿⣿⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿ ⠀⡏⠙⠻⣿⣿⣿⣇⣿⠹⠟⠗⠙⠋⠁⠉⠀⠀⢀⣸⣿⣼⣿⣿⣿⣿⣿⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠛⠋⠉⠉⠙⠿⣿⣿⣿⡟⠀⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣧⠀⠀⠈⣿⡇⠀⠀⠀⣀⣤⣤⣶⣦⣴⣟⣿⡜⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⣠⣄⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣿⠀⠀⠀⣨⡀⠀⣠⠀⢻⣷⣿⣿⣿⡟⣿⣸⡇⢿⡿⣿⣿⣿⣿⣿⣿⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⠀⠀⠀⣿⣟⣛⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⡟⠛⠛⠛⢻⣿⠋⠉ ⠀⣿⠸⢷⣶⣿⠁⠀⢿⡆⢸⣿⣿⣿⣾⡗⠉⠉⠁⢰⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠇⠀⠄⠀⠹⣿⣿⣿⢿⠷⢿⣿⡿⢟⣿⣷⣯⣻⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠛⠀⠀ ⠀⣿⠀⠀⠛⠛⠀⠀⢀⠀⠀⢿⣿⣿⣯⣥⢠⣶⣶⡜⣿⢻⡏⢹⣿⠙⣿⢹⣿⣿⡟⣿⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣷⣾⣄⡀⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣸⣀⡀⣤⣼⣷⣾⣿⣷⢿⣿⣿⢻⣷⠎⣿⢨⣤⢻⣟⣿⠀⠿⠄⠻⠃⠙⠋⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⡛⠟⠋⢹⣛⣿⣿⣯⣽⣿⣿⣿⣿⣿⣿⢅⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⢸ ⠀⣿⢻⣏⣷⢻⡿⣿⣿⣿⣿⡤⣿⣻⡞⡿⠶⠙⠛⠋⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣀⠀⠨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠱⣄⠀⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⠸⣿⠀⠸⠷⠻⢿⡟⠋⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣄⣀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⢻⣷⣾⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⡇⠀⠁⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⡇⠘⠀⠈⠛⠛⠓⠢⢄⣀⠀⠀⠀⠀⠀⠀⠘ ⠀⠇⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠉⠛⠿⠛⣿⣿⣿⣷⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠒⠒⠦⠤⠤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⣿⣿⠟⣻⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠘⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠘⠻⠟⣡⣾⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡄⠐⢔⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⠀⠸⣦⡀⠀⢀⣴⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠖⠶⣶⠏⢶⠄⠰⠶⠾⣿⡃⠆⠸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣄⠀⠁⠀⠀⠺⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡙⣻⠃⠁⣿⠿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⣿⣿⣿⣿⡿⠿⠄⠀⠀⠀⠀⢠⣦⠁⠀⠈⠛⠻⠿⠟⠉⠁⠀⠀⠀⠠⠤⠤⠤⠤⠤⠴⠤⠤⠠⠴⢶⡶⣶⣶⠶ ⠉⠻⠆⢀⠸⠸⢿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠈⠀⠸⠟⠀⠀⠀⠈⠳⢦⣴⣶⣶⣶⣿⣿⣿⣿⣿⣿⣧⣾⣷⣤⣾⣿⣿⣿⣿⣿ ⠀⠀⠀⢀⣀⡀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣟⣻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢸⣿⣇⣄⣹⡟⢻⣿⡿⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣴⣶⣦⣶⡆⣄⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠛⣿⣿⣧⣯⣾⠀⣼⠈⠁⢀⡀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⡄⠀⣤⣈⣻⡿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⢀⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠉⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣤⣿⣿⣿⡏⣿⠀⠻⠀⠀⠰⠃⢀⢓⡀⣦⣤⣤⢰⡞⣿⣛⠂⠼⣿⠿⠿⠿⠿⠙⠛⠛⠿⠿⠃⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⡶⣽⣿⣿⣿⣿⠿⠿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠈⠉⠛⠛⢻⣿⢿⣦⢠⣶⢰⣾⣼⣿⡞⣿⢹⡇⣿⣿⣧⢻⣏⣠⣤⣤⣤⣴⣶⣶⣤⣤⣤⣄⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿ ⠀⡀⢁⣴⣄⣀⣿⣼⣿⣿⣿⡇⣿⢿⡿⣧⢿⣿⡿⢸⣿⢻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠉⣩⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿ ⠀⣟⠙⠻⣿⣿⣿⣇⣿⠹⠟⠗⠙⠋⠁⠉⠀⠀⢀⣸⣿⣼⣿⣿⣿⣿⣿⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠚⠋⠁⠀⠈⠛⢿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣿⠀⠀⠈⢿⡇⠀⠀⠀⣀⣤⣤⣶⣦⣴⣟⣿⡜⣿⣿⣿⣿⣿⣿⣿⣿⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢀⡀⣾⡿⠶⣤⣼⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣿⠀⠀⠀⢀⡀⠀⣠⠀⢻⣧⣿⣿⣿⡟⣿⣸⡇⢿⣿⣿⣿⣿⣿⣿⣿⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⠀⠀⢺⣷⣖⣠⣿⣿⢿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⡟⠛⠛⠛⢻⣿⠋⠉ ⠀⣿⠸⢷⣶⣿⠀⠀⢿⡖⢸⣿⣿⣿⣾⡗⠉⠉⠁⢰⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠇⠀⠀⠈⢿⣿⣿⡿⡟⠛⠿⠿⣫⣽⣿⣿⣾⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠛⠀⠀ ⠀⣿⠀⠀⠛⠛⠀⠀⢈⠁⠀⢻⣿⣿⣿⣥⢠⣶⣶⡜⣿⢻⡏⢹⣿⠙⣿⢹⣿⣿⡟⣿⢿⡇⠀⠀⠀⠀⠀⠀⠀⠈⠉⢿⣾⣷⣤⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣸⣀⡀⣤⣼⣶⣿⣿⣷⢿⣿⣿⢻⣷⠎⣿⢨⣤⢻⣟⣿⠀⠿⠄⠻⠃⠙⠋⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣻⠙⠉⣁⣯⣭⣿⣿⣶⣿⣿⣿⣿⣿⣿⡟⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠐ ⠀⣿⢿⣏⣷⢻⡿⣿⣿⣿⣿⡤⣯⣻⡞⡿⠶⠙⠛⠋⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⡄⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡌⢢⣀⠀⢠⣄⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⠸⣿⠀⠸⠷⠻⢿⡿⠋⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣶⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⣿⣷⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⡇⠀⠁⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⠻⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠁⠉⠀⠉⠙⠋⠁⠢⠤⣄⡀⠀⠀⠀⠀⠀⠘ ⠀⠅⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢿⣿⣿⣿⣿⣻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠒⠒⠲⠦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⡿⢛⣽⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠘⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠘⠿⠋⣰⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡄⠐⢜⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣄⠀⠸⣢⡀⠀⢠⣾⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠖⠶⣶⠏⢶⠄⠰⠶⠾⢿⡇⠆⠸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠆⠁⠀⠀⠛⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣙⣻⠃⠁⢾⠿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣿⣾⣿⣿⣿⣿⣿⣿⣿⡁⢿⣿⣿⣿⠿⠗⠀⠀⠂⠀⣶⠂⣀⠀⠀⠉⠙⢟⠿⠟⠉⠁⠀⠀⠀⠠⠤⠤⠤⠤⠴⠤⠠⠤⠀⠶⠶⡶⢶⣶⠤ ⠉⠙⠆⢀⠸⠸⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠈⢁⣶⣦⢰⣶⣶⣶⣿⣿⣿⣿⣿⣿⣷⣾⣷⣤⣾⣿⣿⣿⣿⣿ ⠀⠀⠀⢀⣀⡀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠙⢿⡌⠛⢻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢸⣿⣗⣄⣹⡟⢻⣿⡿⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣙⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣿⣿⣿⣿⣿⣧⡐⠢⠀⠀⠀⢿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠈⠛⣻⣿⣧⣯⣼⠁⣸⠈⠁⠀⡀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⡀⠀⣤⣈⣛⡿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⢀⡚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣤⣿⣿⣿⡏⣿⠀⠻⠀⠀⠐⠇⢀⢓⡀⣦⣤⣤⢰⡞⣿⣛⠃⠸⣿⡿⠿⠿⠿⠛⠛⠛⠿⠇⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠘⠙⣾⣿⣿⣿⣿⣿⠿⠿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠈⠉⠛⠛⠛⣿⢿⣦⢠⣶⢰⣾⣼⣿⡞⣿⢹⡇⣿⣿⣧⢻⣏⣠⣤⣤⣤⣴⣶⣶⣤⣤⣤⣄⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣷⣄⣠⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿ ⠀⡀⢉⣴⣄⣀⣿⣼⣿⣿⣿⡇⣿⢿⡿⣧⢿⣿⡿⠸⣿⠛⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣿⡿⠟⠛⢿⣿⣿⣿⣿⣆⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿ ⠀⣿⠙⠻⣿⣿⣿⣇⣿⠹⠟⠗⠙⠋⠁⠉⠀⠀⢀⣠⣿⣤⣿⣿⣿⣿⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⣠⣄⡀⠈⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿ ⠀⣿⠀⠀⠈⢿⠇⠀⠀⠀⣀⣤⣤⣶⣦⣴⣟⣿⡜⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢠⡀⣩⣥⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣿⠀⠀⠀⠀⠀⠀⣠⠀⢻⣧⣿⣿⣿⡟⣿⣸⡇⢿⣿⣿⣿⣿⣿⣿⣿⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⢸⣷⣶⣾⣿⣷⣿⣿⡿⢟⣿⣷⣯⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠟⠛⠛⠛⢻⣿⠏⠉ ⠀⣿⠸⢷⣴⣾⠁⠀⢿⡆⢸⣿⣿⣿⣾⡗⠉⠉⠁⢀⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠇⠀⠀⠹⢿⣟⣹⡀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠛⠀⠀ ⠀⣿⠀⠀⠻⠛⠀⠀⢀⠀⠀⢹⣿⣿⣿⣥⢠⣶⣶⡜⣿⢻⣏⢹⣿⠙⣿⢹⣿⣿⡟⣿⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢻⡿⡿⠟⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣸⣀⡀⣤⣼⣶⣿⣿⣧⢿⣿⣿⢻⣷⠎⣿⢨⣤⢿⣟⣿⠀⠿⠄⠻⠃⠙⠋⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⡆⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⢿⣏⣷⢻⡿⣿⣿⣿⣿⡤⣯⣻⡞⡿⠶⠙⠛⠋⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣧⣤⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠈⢦⣀⠀⢠⣀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⠸⣿⠀⠸⠷⠻⢿⡟⠋⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⢿⣈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠘⣿⢷⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⡏⠀⠁⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠉⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠁⠀⠉⠙⠉⠁⠂⠤⣄⡀⠀⠀⠀⠀⠀⠈ ⠀⠃⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠒⠒⠶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⡿⢻⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠘⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⠀⠀⠙⢋⣴⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡄⠐⢐⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣦⣤⣼⡦⠤⣴⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠖⠶⣶⠏⢶⠄⠰⠶⠾⣿⡇⡆⠸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠟⠁⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡙⣻⠃⠁⣾⠿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣷⣾⣿⣿⣿⣿⣿⣿⣿⡁⣿⣿⣿⣻⠿⠗⠀⠀⠀⢠⡆⢀⠀⠀⠈⠙⠛⡿⠿⠛⠉⠁⠀⠀⠀⠠⠤⠤⠤⠤⠴⠤⠠⠤⠀⠶⠦⡴⢶⣶⠴ ⠉⠙⠆⢀⠸⠐⢿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⠟⠁⠀⠀⠀⠀⠀⠈⠀⠉⠀⠀⠀⠀⠀⠙⣲⣶⣦⢰⣶⣶⣶⣿⣿⣿⣿⣿⣿⣷⣾⣧⣤⣾⣿⣿⣿⣿⣿ ⠀⠀⠀⢀⣀⡀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣧⠘⠛⢻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢸⣿⣗⣄⢹⡟⢻⣿⡿⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣙⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⣠⣤⣴⣶⣶⣶⣶⣶⣷⡀⠠⠀⠀⠀⠘⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠛⣿⣿⣧⣯⣾⠁⢸⠈⠁⠀⡀⠀⠀⠀⠀⠀⠀⠀⢰⣷⠀⠀⠀⣄⣈⠛⠿⣿⣿⣿⣿⣿⡏⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⣀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣤⣿⣿⣿⡏⣿⠀⠻⠀⠀⠐⠃⢀⢓⡀⣦⣤⣤⢰⡞⣿⣛⠃⠸⣿⠿⠿⠿⠿⠙⠛⠻⠿⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠋⢲⣿⣿⣿⣿⣿⣿⡿⠿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠈⠉⠛⠛⠻⣿⢿⣦⢠⣶⢰⣾⣼⣿⡞⣿⢹⡇⣿⣿⣧⢻⣏⣠⣤⣤⣤⣤⣴⣦⣤⣤⣤⣄⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⢿⣿⣿⣿⣿⣿⣷⣄⣀⣼⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿ ⠀⡀⢁⣴⣄⢀⣿⣼⣿⣿⣿⡇⣿⢿⡿⣧⢿⣿⡿⠸⣿⠛⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠹⣿⡿⠿⢿⣿⣿⣿⣿⡆⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿ ⠀⣿⠙⠿⣿⣿⣿⡇⣿⠹⠟⠗⠙⠋⠁⠉⠀⠀⢀⣰⣿⣬⣿⣿⣿⣿⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠁⢀⣀⠀⠉⣿⣿⣿⣿⣧⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣿⠀⠀⠈⢿⠆⠀⠀⠀⣀⣤⣤⣶⣦⣰⣟⣿⡜⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⣈⣩⣭⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣿⠀⠀⠀⠀⠀⠀⣤⠀⢻⣧⣿⣿⣿⡏⣿⣸⡇⢿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⣿⣦⣶⣿⣯⣽⣿⣿⠿⣿⣿⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠛⠛⠛⢻⣿⠏⠉ ⠀⣿⠰⢶⣴⣾⠀⠀⢿⡖⢸⣿⣿⣿⣾⡗⠉⠉⠁⢀⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠇⠀⠸⢿⣿⣫⡋⠈⠉⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠛⠀⠀ ⠀⣿⠀⠈⠛⠋⠀⠀⢀⠀⠀⢻⣿⣿⣿⣥⢠⣶⣶⡜⣿⢻⡏⢹⣿⠙⣿⢹⣿⣿⡟⣿⢿⡇⠀⠀⠀⠀⠀⠀⠀⢹⣿⢿⠷⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣰⣀⡀⣤⣼⣶⣿⣿⣷⢿⣿⣿⢻⣷⠎⣿⢨⣤⢻⣟⣿⠀⠿⠄⠻⠃⠙⠋⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⢿⣏⣷⢻⡿⣿⣿⣿⣿⡤⣯⣻⡞⡿⠶⠙⠛⠋⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠑⣄⠀⠀⣠⡀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⠸⣿⠀⠸⠷⠻⣿⡟⠋⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢷⣈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢹⡿⢶⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⠀⠁⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠁⠀⠉⠛⠛⠓⠤⢤⣀⠀⠀⠀⠀⠀⠂⠈ ⠀⠃⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢽⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠒⠒⠲⠤⠤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⡿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠘⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠘⠛⢉⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡄⠐⢐⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣀⣤⣷⠤⢠⣴⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠖⠶⣶⠏⢶⠄⠰⠶⠾⣿⡇⡆⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠛⠁⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ䷩ 𝚕𝚒𝚗𝚎 1153 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at http://techrights.org/2022/08/08/epo-information-gathering/#comments Gemini version at gemini://gemini.techrights.org/2022/08/08/epo-information-gathering/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 08.08.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ Request_for_More_Information_on_EPO/EUIPO_Corruption⠀✐ Posted in Europe, Patents at 7:37 pm by Dr. Roy Schestowitz Video_download_link | md5sum 3293e70cfdb5790d62331e08ffcbbbba EPO/EUIPO Corruption Creative Commons Attribution-No Derivative Works 4.0 http://techrights.org/videos/euipo-epo-corruption-2022.webm Summary: A look at stuff we’ve been working on and investigate at the moment (we need help with information gathering) HAVING just published this_post about Dutch political affairs and Christian Archambeau (now in EUIPO, formerly in EPO) we kindly request more information and maybe even leaked documents. Any material that can help substantiate what we’ve been told. These are serious matters; if it weren’t for immunity, there would be charges and prosecution. The video above goes through some recent events and what we’ve just published. We’re dependent on leaks and we hope some can land on our lap. We’re meanwhile improving things at the back end (servers). It’ll enhance security. On Sunday and Monday several Techrights things were migrated successfully to Alpine. █ ䷩ 𝚕𝚒𝚗𝚎 1198 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at http://techrights.org/2022/08/08/firefox-drm/#comments Gemini version at gemini://gemini.techrights.org/2022/08/08/firefox-drm/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 08.08.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ Firefox_Has_DRM_Even_if_You_Turn_off_DRM⠀✐ Posted in DRM, Free/Libre_Software at 12:02 am by Guest Editorial Team Guest post by Ryan, reprinted with permission from the_original Today I learned that Firefox has DRM even if you turn off DRM. Even if you hide it in the GUI and stop sites from asking you to turn it on. The MPEG-DASH standard has a form of DRM called ClearKey. You_can_read_about_it_here. (Warning: Microsoft GitHub) In fact, when I went checking, Firefox, LibreWolf, and Ungoogled-Chromium all work with Clearkey, at_least_this_demonstration. I noticed that Clearkey exists because people on Reddit using Firefox ESR 91 have complained_about_Firefox_popping_up_a_dialog_box_saying_the_“Clearkey plugin_has_crashed”,_on_various_Web_sites. It seems that the Web is getting so nasty that the purveyors of DRM want you to think you can turn it off when a different version goes ahead and runs instead. The only browser I have on my computer that refuses to play it, is GNOME Web (version 42, latest WebkitGTK). SeaMonkey also didn’t play it. It may be because Gecko (the rendering engine) is too old. This does explain some things. The test video is not detected by Video Download Helper. Whether this means Clearkey works or if the author of Video Download Helper just doesn’t want to get sued for helping people bypass DRM is unknown to me. The US DMCA says any form of DRM is illegal to bypass, even something laughable or trivial. Just telling someone to turn off a site’s JavaScript or to read the New York Times using the Lynx browser may even qualify. Advertising companies have used the DMCA to get removed from the EasyList adblocking filters. So they may just be relying on something like that. The program, yt-dlp apparently works around “ClearKey” saying it’s not DRM. However, they are stupid enough to host it on Microsoft GitHub where youtube-dl (the program they forked) had already been taken down for less, and where many other projects get deleted in the middle of the night. Recently, even a port of DOOM to the processor in an IKEA smart lamp was taken down after IKEA sent threatening legal garbage. I haven’t been to an IKEA store since that happened. If porting a program to a CPU is all you need to do to get threatened, then I wonder what IKEA’s lawyers do to sites that tell people how to make unintended recipes out of their frozen Swedish meatballs. Mozilla continues to disappoint me. They had an opportunity to fight the people who are hijacking and corrupting the Web. They instead signed the Web’s death warrant on the dotted line, alongside Microsoft, Google, and Apple. ClearKey apparently won’t stop people from copying. Why would it? Stronger DRM doesn’t stop copying either. All it does do is waste the user’s computer’s resources trying to play back a stupid video. Potentially one that they didn’t even want running on that Web page. One of the most disappointing things about turning off DRM in Firefox and having ClearKey continue functioning, is it means that Mozilla is basically lying about what that switch does. Six_years_ago,_they_made_it_so_you_can’t even_drop_to_about:config_and_disable_ClearKey_there. Real sites are starting to use ClearKey, and it’s just one more aggravation that people on the modern Web will have to face. I think I should be able to right-click and copy and paste anything I want from my Web browser, or click “Save Video”. If we had the people running Mozilla today in the 1990s, Web browsers wouldn’t even allow you to save an Image. If a Web site uses JavaScript to try to block me from reading it or copying text, I simply revoke that site’s permission to use JavaScript. That takes an Extension now, which is nuts. More and more, I use Web to Gemini proxies to deal with Web content because it’s clean, it’s fast, and it’s readable. Grabbing news articles and Wikipedia articles over Gemini on my Android phone is very easy using the Buran program from F-Droid. On my laptop with Fedora, I use Lagrange. They work like simple Web browser in the 90s did, where if there is an image, you can load it if you want to. Modern browsers just shove those in without asking even if it’s some stupid stock image. This is what happens when presentation is more important than content quality. There are simply too many Web problems to deal with and it’s only getting worse, and I no longer expect Mozilla to push back on any of them. █ ䷩ 𝚕𝚒𝚗𝚎 1356 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at http://techrights.org/2022/08/08/irc-log-070822/#comments Gemini version at gemini://gemini.techrights.org/2022/08/08/irc-log-070822/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 08.08.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ IRC_Proceedings:_Sunday,_August_07,_2022⠀✐ Posted in IRC_Logs at 2:35 am by Needs Sunlight Also available via the Gemini protocol at: * gemini://gemini.techrights.org/irc-gmi/irc-log-techrights-070822.gmi * gemini://gemini.techrights.org/irc-gmi/irc-log-070822.gmi * gemini://gemini.techrights.org/irc-gmi/irc-log-social-070822.gmi * gemini://gemini.techrights.org/irc-gmi/irc-log-techbytes-070822.gmi Over HTTP: 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇H 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇HTML5_logs⦈_ #techrights_log_as_HTML5 #boycottnovell_log_as_HTML5 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇H 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇HTML5_logs⦈_ #boycottnovell-social_log_as_HTML5 #techbytes_log_as_HTML5 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇t 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇text_logs⦈_ #techrights_log_as_text #boycottnovell_log_as_text 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇t 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇text_logs⦈_ #boycottnovell-social_log_as_text #techbytes_log_as_text Enter_the_IRC_channels_now =============================================================================== § IPFS Mirrors⠀➾ CID Description Object type IRC log for  QmcREopzM2kEjpm8ysX296zDuYTzhcupu2LxVqzkXLtwWA #boycottnovell 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈ (full IRC log as HTML) IRC log for #boycottnovell  QmZgwEBQ9a3FCmP2MfwGta5Z1w3eCxCaFJtxATDPAgN837 (full IRC log 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈ as plain/ASCII text) IRC log for #boycottnovell-  QmRYFnTTtwdMizbw6F8PofLxLYuJrPRC5EX6ESoHMWYkz2 social 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈ (full IRC log as HTML) IRC log for #boycottnovell-  QmRSMjFHMNfQ25kzyHFGZ15eRvLrLDBAvR3wpvR6i8o3gE social 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈ (full IRC log as plain/ASCII text) IRC log for  Qmf7fVcwyLo2vLKh72oPpWWtmWLarwmyNm1d7Sqrqn9Ey2 #techbytes 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈ (full IRC log as HTML) IRC log for #techbytes  QmWxJfdKFx1PnrgMq93rzgEJyUigc7Pn6LoaAJsPahx9wd (full IRC log 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈ as plain/ASCII text) IRC log for  QmNuTdgiVMzEHh2rSULMGEfLSBhoUUqKjG6KjVHmzQthiV #techrights 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈ (full IRC log as HTML) IRC log for #techrights  QmTsEwKq3zyAn8FJVDjC8CGJUhk3TKcJiUGjoYZqvMSW2R (full IRC log 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈ as plain/ASCII text) 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇IPFS logo⦈ § Bulletin for Yesterday⠀➾ Local_copy | CID (IPFS): QmcPmtYjQ627Bey3DX46YG4WiSgmpF8GB5yDWsvH4ohkxP ䷩ 𝚕𝚒𝚗𝚎 1483 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at http://techrights.org/2022/08/08/peppermintos-devuan/#comments Gemini version at gemini://gemini.techrights.org/2022/08/08/peppermintos-devuan/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 08.08.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ PeppermintOS_Without_Systemd_More_Popular_Than_the_‘Standard’_Edition?⠀✐ Posted in Debian, GNU/Linux at 1:52 pm by Dr. Roy Schestowitz Days ago: As_Lennart_Moves_to_His_‘Mother_Ship’_(Microsoft),_Will_Devuan_Become the_‘New_Debian’? 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇The linuxtracker homepage⦈ Screenshot from linuxtracker.org (front page, more_here) Summary: PeppermintOS without systemd has more seeders than the “default” or the standard edition of the GNU/Linux distro; maybe they should consider making Devuan the default base system ⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣯⣭⣽⣿⣯⣭⣭⣹⣿⣯⣭⣭⣭⣿⣽⣭⣯⣽ ⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶ ⣿⣿⣟⣿⣿⢿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⡿⣿⠿⠿⡿⡿⢿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣧⣮⣵⣼⣽⣥⣮⣧⣾⣴⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⣿⢿⣿⣿⣿⣿⡿⣿⣿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⣿⢿⣿⣿⣿⣿⣿⢿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠉⠉⠉⠉⠉⠉⠉⠉⠉⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⢀⠀⢀⠀⠀⠀⡀⢀⠀⡀⢀⠀⢀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⣤⡴⡶⠲⣲⣶⣤⣤⣀⠀⠀⢀⣴⣿⣶⣤⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠰⠃⠌⠸⠀⠀⠀⠇⠸⠐⠁⠂⠃⠃⠀⠸⠐⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠀⠨⠄⠀⠀⠫⠉⠉⠛⣿⣿⣿⣿⣿⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⣫⣻⣏⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣟⣛⣿⣻⣿⣟⣟⣻⣛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠿⠿⠿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣚⣚⣺⣲⣛⣛⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣭⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠒⠺⣶⡲⡾⠲⢞⡻⠺⠓⢺⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣿⣭⣥⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢿⢿⠿⡿⡿⠿⡿⣿⢿⠿⢿⠿⠿⡿⠿⣿⢿⠿⣿⠿⢿⠿⠿⠿⢿⠿⠿⠿⠿⡿⠿⠿⢿⠿⣿⠿⢿⣿⣿⣿⣿⣿⣿⠛⠛⠛⠿⣿⡟⢻⢿⡿⣿⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣻⣛⣻⣻⣟⣻⣟⣛⣛ ⣿⣯⣽⣿⣽⣷⣼⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣴⣶⣿⣯⣯⣿⣯⣯⣭⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣲⣒⣓⣶⣒⣓⣒⣒⣶⣒ ⣿⣿⣽⣽⣏⣿⣿⣏⣿⣻⣿⣿⣿⣿⣿⣻⣿⣿⣿⣯⣿⣿⣿⣯⣟⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡉⠛⠻⠿⠿⠿⠟⠋⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣲⣶⣖⣶⣿⣚⣛⣒⣺⣻ ⣯⣛⣛⣟⣟⣟⣟⣛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣏⣾⣖⣿⣷⣾⣷⣾⣶⣟ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⠺⢷⣽⠻⣿⣿⠉⡿⠻ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠽⠭⢯⠥⠯⡿⡭⡥⡭⠯⢽⢭⣽⠽⡽⠭⡽⠯⠽⡿⡭⠿⠭⠭⠽⠭⡯⣭⢭⡭⠽⢼⠽⠼⠽⠭⠭⡽ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣽⣭⣭⣭⣭⣽⣽⣭⣯⣭⣭⣭⣭⣯⣽⣽⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣽⣽⣧⣭⣯⣽⣽⣿⣿⣭⣯⣭⣧⣯⣯⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⠿⠿⠿⠿⠿⢿⣿⣿⡿⢿⠿⠿⠿⠿⠿⠿⣿⣿⠿⠿⠿⠿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣇⣀⣀⣀⣀⣀⣀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣿⣷⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣏⣏⣏⣜⣉⢃⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡿⠿⠿⠾⢾⠿⠶⠷⠾⢿⢿⢿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠿⡿⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠟⣿⣟⠟⣿⣿⣿⠟⠻⢿⣿⣿⣿⡻⣿⣿⣿⡿⣿⡿⣿⣿⢻⣿ ⣿⣿⣿⣿⣿⣏⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⢛⣲⣶⣿⣷⣾⣾⣿⣿⣿⣿⣿⣿⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣿⣿⣶⣶⣶⣷⣶⣿⣿⣾⣿⣾⣿⣶⣿⣷⣿⣿⣷⣿ ⡿⠿⠿⠿⠿⠿⢿⣿⡿⣿⣿⠿⠿⠿⠿⠿⠿⣿⣨⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣯⣯⣿⣿⣭⣭⣭⣯⣭⣿⣿⣭⣿⣽⣿⣭⣿⣯⣿⣿⣭⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣟⣟⣿⣟⣛⣛⣛⣟⣛⣿⣿⣛⣿⣻⣿⣛⣿⣟⣿⣿⣟⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠻⣿⣿⣿⣿⢿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⡿⡿⣿⡿⠿⠿⠿⡿⠿⣿⣿⢿⣿⢿⣿⠛⣿⡟⣿⣿⣿⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⢾⣿⣿⣿⣿⣿⣿⣿⠋⣠⣶⣦⡈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢉⣉⣉⠉⣿⣿⣿⣿ ⡷⠶⠶⠶⠶⢶⡶⣶⠶⢶⣶⠶⠶⠶⠶⠶⢾⣿⣴⣿⣿⣾⣿⣿⣿⡇⢸⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣽⣷⣷⣿⣿⣾⣶⣾⣶⣿⣿⣿⣿⣿⡆⢸⣶⣿⠀⣿⣿⣿⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣙⣿⣿⣿⣿⣿⣿⣧⡈⢿⣿⣿⠏⣠⣽⣽⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣯⣯⣿⣿⣽⣭⣿⣿⣿⣿⣿⣯⣿⡅⢸⣉⣿⠀⣿⣿⣭⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣶⣿⣿⣿⠿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡟⣿⣿⣿⣿⣿⢻⠻⠿⠿⣿⣿⣿⢛⡟⠃⢸⠛⣿⠀⣿⣿⣿⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠘⠂⠀⠀⠀⠀⠀⠀⢸⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠿⣿⠀⣿⣿⣿⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⢸⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣹⣿⣷⣿⣿⣿⣾⣶⣶⣶⣿⣿⣿⣶⣿⡆⠸⠶⠿⠀⣿⣿⣷⣿ ⡷⠶⠶⠶⠶⠶⢶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠾⣿⣙⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣯⣯⣿⣿⣿⣿⣿⣯⣿⣯⣯⣿⣯⣿⣿⣽⣿⣿⣿⣿⣿⣿⣟⡏⣿⣟⣿⣿⣿⣻⣛⣛⣛⣿⣿⣿⣛⣿⣳⣶⣖⣶⣎⣿⣿⣟⣿ ⡇⠀⠀⠀⠀⠀⠀⠈⠉⠁⠉⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⡿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡇⠿⠭⠍⠭⠭⠽⠿⠿⠿⠿⠿⠿⠿⠿⠯⠇⣿⣬⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣧⣽⣷⣷⣿⣿⣾⣶⣿⣿⣿⣿⣿⣷⣿⣾⣿⣤⣿⣧⣿⣿⣷⣿ ䷩ 𝚕𝚒𝚗𝚎 1561 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at http://techrights.org/2022/08/08/re-epo-corruption-in-nl/#comments Gemini version at gemini://gemini.techrights.org/2022/08/08/re-epo-corruption-in-nl/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 08.08.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ Mind-Blowing_and_Likely_Verifiable_Rumours_About_More_High-Level_Corruption at_the_European_Patent_Office_(EPO)⠀✐ Posted in Europe, Patents at 6:11 pm by Dr. Roy Schestowitz 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇António_Campinos,_Christian_Archambeau,_and_Patricia_Garcia Escudero_Marquez⦈_ António Campinos (centre) and Christian Archambeau (left) Summary: EPO corruption and extremely serious abuse, as told frankly and reported by informed sources; some of that is the subject of ongoing investigations THE EPO’s official Web site has said nothing for a couple of weeks, but insiders with a clue (and access) know a whole bunch of stories, including dark secrets. Benoît_Battistelli and António_Campinos seem rather mortified about truth coming out, so they’ve constantly made a lot of noise about certain things in certain topics (drowning out the signal). We’ve seen that in relation to privacy, in relation to Belarus, and a whole bunch of other stuff. There are many skeletons in that closet. Bribery_keeps_the_closet_shut_for_longer. Last month we published a 12-part series about European_software_patents. Prior to it we heard about a highly controversial presentation, not mere E-mails (or storytelling), about a notorious plan to break the law. Those two things are partly connected. We’ve therefore been trying to get a copy. If anyone reading this has a copy, please consider leaking it to us. We’ve already shared some E- mail leaks on this topic (last month), but the presentation too would definitely belong in the public domain. “Finally, the chief of the EUIPO (who came from the EPO; opposite direction to what Campinos did) is connected to serious corruption, but we’re still pursuing the pertinent details and will report as soon as we have them.”We’re meanwhile investigating another plausible allegation. It indicates severe political corruption. The “EPO under [Christian]_Archambeau apparently ‘negotiated’ with the NL [Dutch] government some exchange between the construction of a_new building (in Rijswijk) and privileges for Dutchies,” a source told us, “because Munich and The Hague have different fiscal régimes. They used this difference to blackmail the Dutch government.” If anyone knows more about this, please get in touch discreetly. “This is plain corruption,” our source added. “We will have to check the dates of the events, but I guess they match.” “This is the reason why FFPO was created, I believe. I was told [this] orally.” 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Archambeau and Campinos⦈ That’s very interesting. It also implicates the EU agency, EUIPO, through Archambeau, the former deputy of Campinos at Alicante. If insiders can send us more information and maybe documents, then perhaps we can compose a detailed series on the subject. Corruption at the EPO has been the “new normal” for at least a decade. But that does not mean there’s no point exposing yet more of it. Today’s EPO works against its original goals. So to summarise, the EPO is scheming to break the law (i.e. the usual!) in order to fake so-called ‘production’. Last month we_covered_the_plan_our sources_might_be_alluding_to. Same one (“master plan”) or overlapping plans? Either way, we want the presentation to be leaked to us so that we can publish it. The public needs to know what’s going on. Policy should not be secret. Concurrently we’re investigating a number of UPC abuses and misconduct. The UPC discredits the EU because it demonstrates the EU knowingly breaking treaties, constitutions etc. All this for the sake of litigation (lawyers’) profits… and we know at whose expense. Patent trolls and foreign (not European) monopolies seem to be a priority for the EU and the EPO. That’s totally unacceptable and we need to hold accountable those who are doing this. Finally, the chief of the EUIPO (who came from the EPO; opposite direction to what Campinos did) is connected to serious corruption, but we’re still pursuing the pertinent details and will report as soon as we have them. We’d rather not say more, at least not for the time being, as that introduces risk of saying something speculative or inaccurate. We must separate opinions from facts. █ 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇CASDAO with ARCHAMBEAU⦈ Team UPC (right) and Christian Archambeau (left) ⡀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢘⡠⢿⣿⣿⣿⣿⣿⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠈⠁⠉⠉⠉⠉⠉⠉⠀⠈⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠶⠆⠀⢰⣶⣿⣿⣿⣷⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠟⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⠶⠦⠤⢤⢄⣀⣀⠀⠀⠀⠀⣴⣶⣶⣄⠀⠀⢀⣶ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣴⡆⠀⢠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣭⣭⣧⣈⣹⣭⣽⣏⣩⣟⢉⣉⢉⣸⣟⣙⣛⣛⣟⣛⠙⢛⣿⣿⣻⣋⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⣿⠀⠀⢸⣿ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠛⠃⠀⠘⠛⠛⠛⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠻⠇⢀⣤⣶⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⠀⠀⢸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠉⠀⠈⠁⠈⠉⠉⠉⠉⠉⠋⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⢻⣿⣿⡏⠀⠀⢸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡖⠓⢒⣺⡏⠀⠀⠒⠶⣶⡄⠀⣰⣶⣦⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⡀⣀⡀⠀⠀⠀⠀⢀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⢻⣿⡇⠀⠀⢸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⠛⠛⠛⠛⠟⠛⠛⠛⠻⠿⠿⠿⠿⠿⠇⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⡇⠀⠀⣼⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢁⣤⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣟⣛⣿⣿⣿⣿⣿⣿⣭⣭⣿⣧⡀⠀⠀⠀⢸⣿⡇⠀⠀⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣂⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⢈⡟⢋⡉⣈⣽⣁⣿⠀⣶⣤⣀⣤⣉⣥⠀⠀⠀⢨⣿⡇⠀⠀⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢇⠚⠟⠛⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢻⡏⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⠉⠉⠻⣿⣿⣿⣷⡄⢸⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⡿⠀⠀⣼⣿⣿⡇⠀⠀⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣀⡴⠶⠒⠢⢾⣿⣿⡿⠋⣀⣀⡀⠀⠀⠀⢸⣧⣾⣿⣿⠿⠋⠉⠁⠉⠙⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⢿⠅⠀⢱⠀⣿⣿⣿⣿⡟⢿⣿⠆⠈⢹⣿⣿⣿⠟⠀⠀⢰⣿⣿⡇⠀⠀⣿⣿ ⡿⠁⠈⣿⣿⣿⣿⣿⣿⣿⡄⢐⣿⣶⣿⣶⣶⣾⣿⣿⠁⠀⣤⣄⣉⠃⠀⠀⠀⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠒⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⣜⣿⣱⡿⣗⣠⣀⣀⠤⠀⠋⣹⣿⠀⠀⠀⣾⣿⣿⡇⠀⢀⣿⣿ ⠁⠀⢰⣿⣿⣿⣿⣿⣿⣿⡇⢻⣿⣿⣿⣿⣿⣿⣿⡇⠀⣶⣿⣿⣿⣿⣇⠀⠀⢈⣹⣥⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣦⣀⣒⣶⣶⣦⣤⣴⣿⣿⣰⠀⢀⣿⣿⣿⡇⠀⢸⣿⣿ ⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⡇⢹⣿⠟⣻⣿⣿⣻⠿⠇⠀⠀⣿⣿⣿⣿⠉⠀⢀⣿⣿⡿⠶⠀⠀⢀⣀⣀⣠⣼⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⡿⢃⣼⣿⣿⣿⠀⠀⢸⣿⣿ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⣿⣷⣾⠿⠿⢿⣿⣿⣾⢷⠀⠀⢸⣿⡇⠀⠀⢸⣿⡟⠀⠀⠀⣿⣿⣿⣿⣿⡿⠿⢿⠄⠀⠀⠀⠀⠀⠰⠄⠀⢠⣴⣾⣿⠆⠙⠿⣿⣿⣿⣿⣿⡿⠟⠀⠀⠀⠰⣿⣿⣿⣿⡆⠀⢸⣿⣿ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣻⣿⣿⡿⠖⠀⣀⣾⣿⣿⠇⠀⠸⠋⠀⠀⠀⠀⣹⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⠿⠛⠛⠁⣶⣤⢼⣉⣉⡉⠀⠀⠀⠀⠀⠀⢀⣾⡉⠛⠿⣿⡇⠀⢾⣿⣿ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡿⢾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⡿⢻⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣶⣶⡶⣠⣀⣴⣿⣿⣇⠀⠀⠀⠀⠀⠘⠿⠿ ⠀⠀⠀⣿⣿⣿⣿⣿⡿⠋⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠿⠟⠛⠛⠉⠀⠀⢸⣿⣿⣿⣷⠭⢛⠛⠛⠛⠋⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⠟⠉⠉⠉⠉⠙⢻⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣾⣏⣁⣀⠀⠀⢀⣤⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡿⠿⠿⣭⣴⣾⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⠃⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣧⣄⠀⠀⠀⠀⢀⣹⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡿⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣷⠀⠀⣠⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⣴⣿⣿⣿⣷⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⡇⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣶⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⡟⣅⡈⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⠿⠛⠙⠛⠻⣯⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣿⣟⡛⢈⣽⣁⣄⣀⡚⠛⠎⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⣿⣿⣿⣿⣿⡟⠉⠙⠿⠃⠀ ⡿⠋⠀⠀⠀⠀⠀⠀⠈⢣⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⡏⢀⣼⣿⣿⣿⣿⣿⣿⡿⢋⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣟⣻⣤⣼⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠉⢻⣻⣽⣿⣿⣇⠀⢀⣀⣠ ⣾⢶⡄⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⡿⠋⣀⣜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⡛⠿⠛⠹⣿⣿⣿⣿⣿⣿⣿⡿⣿⠷⡿⣫⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿ ⣿⡞⢿⡟⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⡿⠋⣙⣿⠋⢀⠀⢈⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣠⣿⣿⣿⣿⣿⣿⡟⠉⠁⠠⠘⠛⣿⡏⢻⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿ ⢀⡀⠈⠉⣄⠀⠀⠀⠀⠀⠚⠿⢿⣿⠋⠹⢫⣾⡁⡠⣟⣍⡴⡾⠢⠟⠟⠋⠁⠀⠉⠙⣿⣿⣿⣿⠿⢋⣥⣾⠋⠀⡀⣴⣾⢿⠟⠛⠛⠛⠫⠿⠀⠀⠐⠁⢀⣴⣿⣤⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿ ⠛⢷⠀⣰⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢯⢷⠛⣶⢯⡶⢋⠀⠀⠀⠀⠀⠀⠀⠀⠈⣸⣿⢿⣯⣤⡟⠋⣀⣴⣿⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡟⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿ ⢀⡆⢀⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⡰⢁⡞⢡⣼⣯⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡟⡁⣾⣿⣿⣿⠟⢽⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⢷⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⢾⠃⣸⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢊⣴⡿⡗⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢎⣼⣶⣿⣿⡟⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⡿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠃⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢣⣾⣿⣻⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠸⡿⡥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⢴⣾⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣳⣿⣿⣷⡟⠘⠀⠀⠀⠀⢰⡁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣇⢠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠛⠇⠀⠀⠀⠀⠀⠀⠀⠠⠁⣸⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣵⣿⣿⣿⡿⠀⢀⠀⠀⠀⡄⠀⠙⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣦⣿⡟⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⠀⢀⣾⣯⡿⠟⠛⠑⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠥⣿⠀⠀⠀⢀⣀⣤⡾⣯⣿⣿⣿⣿⣷⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀⠐⠒⠀⠀⠀⠀⠀⣸⣿⣿⣿⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣀⣤⡀⠀⠀⠀⠈⠋⠉⠀⠈⠉⠓⠢⠯⣲⣯⠛⠟⠁⠙⠿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢒⡇⠒⠀⠀⠀⠀⢀⣰⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⠄⠀ ⠀⠀⣨⣿⡿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠢⢀⠀⠁⠀⠀⠀⠀⠀⢀⠤⠤⠤⠀⠠⠤⠤⠄⠀⠀⣀⢠⣟⢷⣤⡲⣿⣿⣿⣿⣿⣿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣦⣤ ⠀⠰⡿⠿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠺⠷⠶⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⡉⢀⣴⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⡀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣏ ⠀⢈⠍⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢁⡰⠿⢿⡿⠿⣟⣿⠋⠀⢀⠄⠀⠀⣼⡿⠿⢿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⠿⠿⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠓⠉⠉⠉⠃⠀⠐⠁⠀⠀⠀⣿⣶⣐⠶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀ ䷩ 𝚕𝚒𝚗𝚎 1717 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at http://techrights.org/2022/08/08/statcounter-gnu-linux/#comments Gemini version at gemini://gemini.techrights.org/2022/08/08/statcounter-gnu-linux/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 08.08.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ According_to_StatCounter,_GNU/Linux_Reaches_All-Time_High_on_Desktops_and Laptops_(Steam_Survey_Shows_the_Same)⠀✐ Posted in GNU/Linux, Microsoft, Windows at 3:22 pm by Dr. Roy Schestowitz As_OpenDocument_Format_(ODF) 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNU/Linux approaching 3% based on logs samples from 3 million Web sites⦈ The usual caveats apply; of course it’s higher if one adds Android and ChromeOS (also Linux-powered) and considers that GNU/Linux users visit sites less likely to share/sell logs; also, many GNU/Linux users like yours truly pretend to run another OS in order to confuse discriminatory user agent sniffers Summary: We’ve been looking lately at the demise of Microsoft Windows because the corporate (“mainstream” or “tech”) media does not mention it; GNU/Linux is among those rising steadily at Windows’ expense (Android more so) ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⡻⢿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⣋⣥⣦⣾⡇⢸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣋⣥⡆⢸⣿⣿⣿⣿⡇⢸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣋⣥⣶⣿⣿⣿⡇⢸⣿⣿⣿⠁⠃⢸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣻⣿⣿⣿⣟⣿⣻⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⢋⣡⣶⣿⣿⣿⣿⣿⣿⣿⠁⠀⠘⣿⡏⠀⠀⢸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢋⣡⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⡿⠃⠀⠀⢸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢛⣩⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠋⠀⠀⠀⢸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢛⣩⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⠿⢛⣩⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⢸⣿⠛⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠹⢛⣩⣴⣾⣿⣿⣿⣿⣿⡟⠀⣿⣿⣿⣿⡿⣿⣿⣿⢿⣿⠟⠁⠀⠸⣿⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠿⠛⡁⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠙⣿⣿⠉⠀⠀⠁⠛⠘⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠀⣤⣶⣿⠁⠀⠈⠁⠘⠿⠏⡏⠉⠋⠀⠁⠀⠀⠀⠈⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣋⣥⣶⣿⠀⠿⠋⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣋⣥⣶⠋⠿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣋⣥⣶⣿⣿⣿⣿⠀⠀⡟⠻⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣋⣥⣶⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⢋⣥⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣿⣿⣿⣿⣿⣿⠟⢋⣡⠴⠚⠻⠿⢿⡿⠟⠻⠋⠉⠉⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣿⣿⡿⠛⠩⠀⠘⠉⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿ ⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣾⣿⣿⣷⣿⣿⣿⣾⣿⣿⣷⣿⣿⣿⣾⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣾⣿⣿⣷⣿⣿⣿⣾⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 1781 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at http://techrights.org/2022/08/08/techrights-ten-years/#comments Gemini version at gemini://gemini.techrights.org/2022/08/08/techrights-ten-years/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 08.08.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ Techrights_in_the_Next_Ten_Years⠀✐ Posted in Site_News at 12:24 am by Dr. Roy Schestowitz 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Hulme Hall 2000⦈ 2000 when I started university Summary: An outlook for Techrights and topics it will focus on, seeing that the nature_of_threats_is_evolving 10 years is a very long time, but we believe we’ve secured the next decade or even more (maybe 2 decades) for our writings, activism, campaigning etc. It’s not about money but about persistence and focus. We’re on steadier ground (more than ever before) and we have the capacity to expand to more protocols, shall the World Web Wide gradually go the way of the dodo (that’s already_happening to_social_control_media, which this site always rejected). “As for Free software (and GNU/Linux) advocacy, we do that in Daily Links and we produce material when time permits.”Our top/utmost priority is exposing corruption and giving a voice to whistleblowers. As far as we’re aware, we still maintain a 100% source protection track record. As for Free software (and GNU/Linux) advocacy, we do that in Daily Links and we produce material when time permits. It’s not the highest priority, but it is still very important. Consensus that GNU/Linux is technically ahead (and very widely used) was reached about a decade ago. Most GNU/Linux users I know very well understand that the Linux_Foundation does not speak for them. The Foundation is just a corporate, corrupting force of occupation against us. Resist this. More than a decade ago we asked readers what issues to focus on. Patents were a common theme and there was consensus that we needed to tackle software patents (that was years before 35 U.S.C. § 101/Alice). Nowadays we barely write about the U.S. Patent and Trademark Office (USPTO). It’s not that it’s not problematic, it’s just not the top priority at this time. Last year we finally put our code out there, in public, via Git over Gemini. This year we’re finally, belatedly in fact, moving away from systemd and various other things that ought to be rejected. “Our main ‘value proposition’ is that we can publish material no other Web site or news [sic] paper is willing to; we’re uncompromising on freedom of expression and the public’s right to know.”Techrights is a very large site, but it not a ‘mainstream’ site (whatever that term even means). It’s still read by many people — over Gemini, over IPFS, in the form of a text bulletin, or even HTML (many read the HTML as RSS/XML). We’ve moved way ahead and aren’t reliant on “old school” HTML over HTTP/S. We’re also making extensive use of IRC and last summer we created our own IRC network. We recently began experimenting with MQ Telemetry Transport (MQTT) for real-time updates, both in Git and sites. More on that soon… Since 2006 we withstood and survived all sorts of challenges. Seeing that the last Novell CEO is_desperate_to_take_us_offline is a badge of honour. Of course he has no legal basis, none whatsoever. Any whistleblower from any company (or organisation) should know we’re all ears. We’re devoted to protecting sources as we already have. Our main ‘value proposition’ is that we can publish material no other Web site or news [sic] paper is willing to; we’re uncompromising on freedom of expression and the public’s right to know. █ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⠿⠿⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠃⠙⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿ ⣿⠻⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣛⣉⡛⠃⠀⠀⠀⠀⠸⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⠟⠉⠃⣈⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠘⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡁⢸⣿⣿⣿ ⣿⠿⠃⠀⠀⠀⠠⠀⠀⠰⠏⠐⠈⠀⣿⣱⣶⣶⣿⣿⣯⣿⣯⣭⣭⡝⢿⡟⠉⠉⠁⠀⡄⢠⣀⣀⣀⣀⠩⢀⡹⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠙⠊⠀⢸⣿⣿⣿ ⣿⠀⠀⠀⠀⠈⡤⡀⢀⠸⠀⠀⠁⠀⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⢫⣾⣮⠢⠀⠀⠀⠠⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⢂⡒⣶⠂⠨⠭⣭⠁⠀⠀⠀⠈⣟⣛⣛⣛⠛⡛⠛⡛⠻⠿⠿⠓⠀⠀⠀⢸⣿⣿⣿ ⣿⢃⡀⡀⠀⠁⠠⠀⡉⠀⠀⠀⠀⠀⠀⠂⢉⣿⣿⣿⣿⣿⣿⣁⢸⣿⣿⣯⣧⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⣍⣿⡄⠀⠀⠀⠘⠀⠀⠀⠀⠈⣿⣿⣿⣿⢦⡈⣌⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⣽⡇⢠⠠⠢⡂⡀⡀⠠⠀⠀⠀⠀⠀⠠⠈⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣾⣿⣧⠀⢀⢄⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⣘⣿⣿⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣷⣑⣨⣿⣽⣯⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⣯⠀⠐⠐⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⡚⠉⠈⠀⠀⠀⠀⠀⠁⠀⠈⠐⠘⠈⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠉⠻⣿⣄⡄⠀⠀⠀⠀⠀⠀⡀⠀⣿⣥⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⠓⠵⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⣀⠀⠀⠠⠤⠀⠈⠈⢡⡀⠘⠡⣀⣔⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢳⣿⣄⣿⡄⠀⠀⠀⢀⢐⢄⠀⠻⡫⣿⠟⣿⢿⡟⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠄⠀⠀⡀⠀⢀⣀⢀⣀⣉⠃⢻⡂⠀⠀⠂⠀⠙⠉⠙⠙⠙⠛⠛⠟⠛⠻⠻⠻⠆⠰⠿⠯⠘⠿⠆⡀⠄⣁⠶⠛⠂⠠⠋⠡⢿⢟⠟⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡬⠧⠀⡠⠤⠸⠶⠷⠒⢾⣿⡆⢄⠆⠀⠀⢠⣁⡀⣠⣤⠀⠀⠀⠀⠀⠀⣀⢀⣀⡀⠀⠀⠁⠈⠀⠀⠀⠉⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⡄⡇⣗⠀⣗⣒⣖⣒⣗⣐⢾⣶⡞⢐⢑⣯⢵⢑⣿⣒⣿⣇⠀⠀⠀⠀⠀⠀⡻⠀⠀⠀⠠⡀⠀⡕⢇⢠⠢⠀⠀⡀⠀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⡥⠄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠄⠃⣀⢹⠶⠑⠷⠷⢶⡿⣿⠃⠅⡚⡫⡀⣼⣿⢧⡿⠻⠐⠀⠀⠀⠀⠀⠉⠀⠀⠀⣪⣷⠀⠰⢱⡼⡶⠁⠄⠨⠠⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⡀⢉⡖⡺⣶⠲⢄⠄⢿⢡⢈⠠⠋⢅⠟⢇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠠⠀⠂⡠⢶⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠪⢶⡄⠒⡠⠔⠂⢘⠬⠇⢦⣋⡾⣀⣩⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⡄⡀⠈⡰⣖⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⣥⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠈⠂⠂⠐⠁⠑⠂⠂⠴⡂⡂⢙⢠⢁⠪⠃⠀⠠⠂⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠫⢖⡋⠀⢚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⢒⠀⡂⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠈⠐⢈⡤⡄⢁⣱⡟⢠⣤⣶⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⡂⢂⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⢎⠂⠄⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⣑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠑⢨⠂⢠⣿⣇⣈⣟⣿⣷⡇⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠘⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠠⢆⡙⢾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢅⣝⠪⢿⠀⣿⣽⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠀⠀⠀⠀⠀⠐⠀⠐⠂⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⠅⠄⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠐⠉⠺⡺⢿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠰⠺⢋⣧⣀⣴⣿⣿⣿⠒⢄⡀⠀⠀⠀⠀⠀⠀⠀⠲⡥⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⣒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⡐⠒⠂⢸⣿⣷⣤⣤⣶⣤⣦⣀⠀⠀⠀⠀⠀⠀⣴⣿⣶⣿⣿⣿⣿⣿⡇⠀⠘⣦⠀⠀⠀⠀⠐⠚⣂⣜⠧⢄⠀⠀⠀⠀⠀⠀⠐⠄⠂⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣤⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣶⣮⣰⣶⣿⣷⣧⣤⣤⣬⣷⣶⣴⣄⡀⢠⣶⣦⣤⣦⣤⣤⣥⣤⠀⠀⠀⢸⣿⣿⣿ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⢀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢻⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣸⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⢸⣿⣿⣿ ⣿⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢠⣉⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⡎⠉⠉⢹⣿⠛⠛⠛⠻⠿⠿⢿⣿⣿⢿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⣼⣿⣿⣿ ⣿⠀⠀⠀⠀⠀⠀⠀⠉⠉⠿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣀⠀⣻⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠘⣇⢀⣀⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠛⠛⠻⢿⣿⣿⡇⠀⣼⣿⣿⣿⣿ ⣿⣷⣶⣶⣶⣶⣦⣤⣤⣬⣽⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⠿⣾⣿⣿⡿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣦⣦⣤⣤⣤⣄⣀⣻⣇⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣿⠀⠙⠋⠉⠉⡍⠉⣉⣽⡍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣽⣻⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⡿⡿⠛⣛⣛⣟⣿⣽⣿⣿⣿⠇⣿⢠⣾⣿⣾⣾⣿⣿⣿⣿⢧⣿⡟⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠒⠒⠛⠉⠍⠿⠟⠛⡛⣿⡿⠿⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⡟⠛⢟⣻⣛⣭⡽⠤⠴⠒⠚⠑⠉⠛⠋⠉⠁⠀⠀⠀⠀⠀⣸⣿⣿⡟⠇⢿⣿⣿⣿⣿⣿⣤⣑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⣟⣛⣻⣭⡤⠴⠖⠒⠛⠉⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣹⣷⣶⠀⠀⠿⢹⣿⣿⡿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⠀⠀⠀⠈⢸⣾⣿⡆⠀⠈⠀⣿⢿⣭⣽⣷⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠂⠀⠀⠀⠀⠀⠄⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⢸⣿⣿⣷⠀⠀⠀⣿⣶⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠿⢿⣿⡇⠀⠀⣿⣿⣿⣿⣿⠀⠂⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣼⣧⢿⣿⠀⠀⠀⣿⢻⣯⣿⣿⠀⠄⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⣼⣷⡾⢿⣯⠀⠀⠀⣿⣄⣻⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⢀⠻⣧⣙⣿⣿⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⠀⠈⢈⢿⣿⣟⣿⣿⡄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⠏⠀⠉⠉⠯⠻⣿⣿⣿⣿⢷⡤⣠⣄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⣿⣯⣻⠀⠀⠀⠀⠀⠀⣘⠿⣿⣿⡀⠀⣀⡀⡀⠁⠀⣀⢀⣀⣀⣀⢙⢛⣲⣶⣦⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣤⣼⣿⣿⣿ ⣿⡆⠀⣀⣀⣀⡀⠀⠀⠀⠤⣀⣀⣀⣀⣀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢟⠛⠛⠂⠀⠀⠀⠀⠀⠂⢺⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⣿⣿⣿ ⣿⡿⠿⠛⢛⠻⠛⠛⠛⠙⠛⠛⠛⠛⠋⠉⠉⠉⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠃⠤⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⢄⢼⣄⣰⣤⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢸⣿⣿⣿ ⣿⠇⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠠⠄⠈⠙⠻⡿⠟⠻⠋⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⡀⠀⠁⠀⢸⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠠⠀⠀⠄⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⣷⣶⣶⣶⣾⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 1925 ╒═══════════════════ 𝐃𝐀𝐈𝐋𝐘 𝐋𝐈𝐍𝐊𝐒 ═════════════════════════════════════════════╕ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 08.08.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ Links_08/08/2022:_EasyOS_4.3.3_and_Debian_Day_2022_After_Silencing_Dissent⠀✐ Posted in News_Roundup at 2:58 pm by Dr. Roy Schestowitz 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈ § Contents⠀➾ * GNU/Linux o Desktop/Laptop o Server o Audiocasts/Shows o Kernel_Space o Instructionals/Technical o Desktop_Environments/WMs # K_Desktop_Environment/KDE_SC/Qt # GNOME_Desktop/GTK * Distributions_and_Operating_Systems o New_Releases o Red_Hat o Debian_Family o Canonical/Ubuntu_Family o Devices/Embedded o Open_Hardware/Modding o Mobile_Systems/Mobile_Applications * Free,_Libre,_and_Open_Source_Software o Web_Browsers o Education o Programming/Development # Perl_/_Raku # Python # Rust o Standards/Consortia * Leftovers o Education o Hardware o Health/Nutrition/Agriculture o Security # Privacy/Surveillance o Defence/Aggression o Transparency/Investigative_Reporting o Environment # Energy # Wildlife/Nature o Finance o AstroTurf/Lobbying/Politics o Censorship/Free_Speech o Freedom_of_Information_/_Freedom_of_the_Press o Civil_Rights/Policing o Monopolies # Copyrights * Gemini*_and_Gopher o Personal o Technical # Science # Internet/Gemini * § GNU/Linux⠀➾ o § Desktop/Laptop⠀➾ # ⚓ Is_Linux_the_Best_OS_for_Computer_Science_Students_– kifarunix.com⠀⇛ In particular, a Linux operating system is a unique application. It is open-sourced and has a large community of users, which form an excellent support system. If you are thinking of getting a Linux operating system, this article is for you. o § Server⠀➾ # ⚓ Red Hat Official ☛ Kubernetes_network_stack_fundamentals: How_containers_inside_a_pod_communicate_|_Enable_Sysadmin⠀⇛ Learn how containers communicate within a pod through the same Kubernetes network namespace Many sysadmins view networking as one of the most complex elements in a Kubernetes environment. This is especially true when hosting your own Kubernetes cluster instead of paying for a managed cluster. # ⚓ Venture Beat ☛ Open-source_[Openwashing]_Acorn_takes_a_new approach_to_deploy_cloud-native_apps_on_Kubernetes_| VentureBeat⠀⇛ Kubernetes has become the de facto standard for multicloud deployments, with services on every major public cloud and a host of vendor technologies, including Red Hat OpenShift and Suse Rancher. Packaging and then deploying applications to run in cloud-native environments, with the Kubernetes container orchestration system, can be complex. It’s a challenge that Acorn is looking to help solve. There is no shortage of vendors in the Kubernetes space, but Acorn’s pedigree is particularly strong. # ⚓ Netcraft ☛ Most_Reliable_Hosting_Company_Sites_in_July_2022 [Ed: GNU/Linux 9 out of 10, as usual]⠀⇛ Aruba had the most reliable hosting company site in July 2022, dominating the leaderboard for the second month running. Aruba has data centres in Italy and the Czech Republic, and their services include cloud computing as well as hosting and domains. The remaining podium places also remained unchanged, with Rackspace coming in second and New York Internet(NYI) taking third place once again. Rackspace offers a variety of data, security, and cloud services, with data centres around the world, whilst NYI provides hybrid IT solutions. o § Audiocasts/Shows⠀➾ # ⚓ Video ☛ How_to_Archive_Folders_in_Linux_(tar_and_gzip tutorial)_–_Linux_Crash_Course_Series_–_Invidious⠀⇛ In the Linux Crash Course series, we’ll go over one important foundational Linux topic each episode. # ⚓ Video ☛ Q4OS_4.10_overview_|_desktop_operating_system._– Invidious⠀⇛ In this video, I am going to show an overview of Q4OS 4.10 and some of the applications pre- installed. # ⚓ Video ☛ The_Best_Package_Manager_–_Invidious⠀⇛ Instead of using the built-in package manager in Linux or some container that never puts the programs files in a usable spot, we will use Homebrew! # ⚓ Video ☛ The_single_biggest_update_the_Steam_Deck_has_ever seen._(It’s_massive!)_Plus_other_Deck_news._–_Invidious⠀⇛ The Steam Deck has been upgraded with the single largest update since its release. This is a release that’s chock-full of new features and fixes. I couldn’t be more excited. # ⚓ Video ☛ I_made_a_Packer_Course!_–_Invidious⠀⇛ o § Kernel Space⠀➾ # ⚓ The Register UK ☛ Linux_6.0_to_arrive_soon,_along_with performance_gains_•_The_Register⠀⇛ The next version of the Linux kernel is jumping version numbers, with some performance gains, but it’s not a major change all the same. Roughly every two dozen kernel versions, Linus Torvalds tends to bump the Linux kernel’s major version number, essentially so the minor version number doesn’t get too large. As such, what was previously planned to be version 5.20 is now Linux 6.0. The “merge window” during which contributors can send in requests for their new code to be incorporated is currently open, and then will come a period of testing and integration work, marked by a series of “release candidates.” Samba, the Windows-compatible filesharing tool for FOSS xNix, has a new in-kernel server for SMB3. This is receiving improvements to its multichannel handling, as well as further steps in the ongoing deprecation of the SMB 1 protocol. According to Microsoft’s analysis, this should boost performance. Support for the RISC-V architecture continues to accrue, with changes that improve the new platform’s support for handling for Docker containers and apps packaged with Ubuntu’s Snap system, plus page-based memory types. # ⚓ Support_for_Intel_Meteor_Lake_Processors_Already Implemented_in_Linux_6.0⠀⇛ But with regard to intelligent drivers in Intel Meteor Lake, everything is being prepared in advance. A x a thousand lines were added to the Linux Code compared to the SOF series driver, but the sound subsystem of Meteor Lake processors compared to its predecessors. Drivers are using ACE as symbol in the new generation. The release of Meteor Lake processors will go ahead next year, but engineering samples are already being tested, so the appearance of support for the audio subsystem of new products from Linux is very timely. # ⚓ WCCF Tech ☛ Linux_6.0’s_Perf_Tooling_Ready_For_AMD_Zen_4 IBS⠀⇛ # ⚓ Linux-compatible_ELSA_VELUGA_G3_with_NVIDIA_RTX_A5000⠀⇛ Elsa introduced the 17.3-inch mobile workstation ELSA VELUGA A5000 G3-17 for Linux. Sales will begin in late August, with a market price of 3609 USD. o § Instructionals/Technical⠀➾ # ⚓ Lars Wirzenius ☛ On_home_Internet_routers⠀⇛ Recently, the power brick for my home Internet router PC failed. It had worked flawlessly for six years. To get something working as soon as possible, I bought a cheap consumer router from a local store. I’d managed to forget how awful they are. # ⚓ The Fosstodon Hub ☛ Our_Domain_Expired_and_it_Took_Out_All Our_Services⠀⇛ Luckily for me, the domain had just expired and we were still within our grace period, so we hadn’t lost the domain. Can you imagine what would have happened if someone else had nabbed it! I re-registered the domain as quickly as I possibly could, and 15 minutes or so later, our services started coming back up. Fantastic! Crisis averted. # ⚓ Daniel Stenberg ☛ How_I_merge_PRs_in_curl_|_daniel.haxx.se [Ed: Microsoft’s_proprietary_prison/PRISM]⠀⇛ # ⚓ Linux Mint ☛ How_to_upgrade_to_Linux_Mint_21_–_The_Linux Mint_Blog⠀⇛ If you’ve been waiting for this I’d like to thank you for your patience. It is now possible to upgrade Linux Mint 20.3 to version 21. # ⚓ TecMint ☛ Linux_Mint_21_MATE_Edition_New_Features_and Installation⠀⇛ Linux Mint 21, codenamed “Vanessa”, was officially released as a major update to Linux Mint on July 31, 2022. Linux Mint 21 is an LTS (Long Term Service) release based on Ubuntu 22.04 and will be maintained until April 2027. As expected, the latest release unveiled its three traditional desktop editions – XFCE, Cinnamon, and MATE and a bunch of other improvements and new features. In this guide, we will walk you through the installation of Linux Mint 21 MATE Edition. # ⚓ H2S Media ☛ How_to_install_Apache_web_server_in_Linux_step by_step⠀⇛ Learn the step-by-step commands to install Apache Web servers on Linux such as Debian, Ubuntu, RedHat, CentOS, Almalinux, Rocky, Linux Mint, OpenSUSE, Amazon Linux, and more… Web servers are an important part of the Internet, but also provide useful services even for local networks. Configuring a web server with Apache is not a difficult task, yet, here we learn how to do that… However, before moving further let’s know a little bit about the Apache web server. # ⚓ markaicode by Mark ☛ How_to_Install_Moodle_eLearning_on Rocky_Linux_8_|_Mark_Ai_Code⠀⇛ In this guide, We will learn how to install Moodle eLearning Platform on Rocky Linux 8. It provides a rich set of features including, wiki, grading, assignment submission, online quizzes, discussion boards, and more. # ⚓ ID Root ☛ How_To_Install_LibreOffice_on_Ubuntu_22.04_LTS_– idroot⠀⇛ In this tutorial, we will show you how to install LibreOffice on Ubuntu 22.04 LTS. For those of you who didn’t know, LibreOffice is totally free software that is open source and is created by the community across the globe. The LibreOffice suite includes applications for word processing, creating spreadsheets, creating and presenting slideshows, diagrams, database management systems, and more. Both Microsoft Office, as well as LibreOffice, are functionally similar to each other. However, one of the main differences between the two is their accessibility. While LibreOffice is absolutely free of cost, as discussed above, the Microsoft Office program comes with a license that has to be purchased. This article assumes you have at least basic knowledge of Linux, know how to use the shell, and most importantly, you host your site on your own VPS. The installation is quite simple and assumes you are running in the root account, if not you may need to add ‘sudo‘ to the commands to get root privileges. I will show you the step-by-step installation of the LibreOffice office suite on Ubuntu 22.04 (Jammy Jellyfish). You can follow the same instructions for Ubuntu 22.04 and any other Debian-based distribution like Linux Mint, Elementary OS, Pop!_OS, and more as well. # ⚓ Ubuntu Pit ☛ How_To_Take_Screenshot_on_Chromebook⠀⇛ Chromebook is a popular technology not only because they are cheap and small but also because of how they work. It has been proven that a large number of people like Chromebook because it is quick, secure, and easy to use. Chromebooks use ChromeOS, which makes it easy to run applications and access the internet. Those who have shifted to ChromeOS from another operating system will first have to go through a learning curve because the Chromebook keyboard is a bit different from the traditional one. For example, Chromebook does not have a print button to take a screenshot like the Windows one. So you have to follow a few methods to capture screenshots in a Chromebook. I write this guide because all of us are looking for a way to take screenshots on ChromeOS. You can learn some simple yet efficient techniques for taking screenshots on your ChromeOS device. So read the entire guide and learn some awesomely useful techniques. # ⚓ H2S Media ☛ How_to_install_Podman_on_Ubuntu_20.04_LTS_Focal Fossa⠀⇛ Follow the steps of this tutorial to install the Podman container tool on Ubuntu 20.04 LTS Focal Fossa Linux for creating virtual containers. Podman is a container tool for virtualizing applications. It was originally developed by Red Hat and originated in the Cri-O project, which develops a lightweight container runtime environment for Kubernetes as an alternative to the Docker runtime environment. It is compatible with Docker on the command line however doesn’t rely on the Docker daemon. Hence, we can use its Container Engine to provide containers without root access. Buildah is the Image builder used by Podman. # ⚓ MakeTech Easier ☛ How_to_Make_Blinking_LEDs_With_the Raspberry_Pi_–_Make_Tech_Easier⠀⇛ The Raspberry Pi is more than just a tiny computer. It’s a powerful board that lets you do so many things with its GPIO pins. Here we will show you how to make blinking LEDs with the Raspberry Pi. # ⚓ TechRepublic ☛ How_to_set_up_a_bare_metal_dedicated_game server_with_OVH_|_TechRepublic⠀⇛ If you’re a gamer, you might feel the need to set up a private, dedicated game server that gives you plenty of raw power for all the games you want, along with the security you need to keep everything running smoothly. One such route for this is the French cloud computing company, OVH Cloud. As of 2016, OVH laid claim to the largest cloud data center surface area, and as of 2019, it became the largest hosting provider in Europe. OVH offers plenty of options for hosting just about anything you need. One such feature is the Linux game server. # ⚓ Make Use Of ☛ How_to_Use_the_cat_Command_on_Linux_(and_When Not_To)⠀⇛ One of the most basic commands you’ll use on Linux is cat. It may seem mysterious at first, but it’s actually simple to use. Here’s how to use the cat command on Linux, and when not to use it. # ⚓ Dedoimedo ☛ Firefox_&_AppArmor_hardening_–_Custom_rules⠀⇛ Arguably, browsers are the weakest link in one’s overall security stack, other than the user, that is. In other words, should something naughty happen to your computer, it’s most likely going to involve your browser. To that end, browser vendors as well as operating system companies pay a lot of attention to making this delicate piece of software robust, secure, and isolated from the rest of the system. A few days ago, I had some spare time, and I sat wondering if there was a way to make browsers in Linux extra secure, especially if one uses custom installations or setups? This led me to tinker with AppArmor, a security framework available in a bunch of Linux distributions. In this article, I want to show you what you can do to make your browser (Firefox) extra hardened. Let’s go. [...] This brings me to the end of this tutorial, but not the end of this journey. There are many more things to cover, and cover them we shall in future articles. For now, this little guide should give you some basic grasp of how AppArmor works and how you can manually utilize it outside the predefined set of programs shipped by your distro (if any). I focused on Firefox, because it’s my favorite browser, and as an Internet-facing tool, it takes priority over something like your calculator. But the same logic applies to other browsers or programs of similar nature. Well, that would be all for now. Stay tuned for updates [sic]. Why [sic]? You will see in the sequel. # ⚓ Linuxiac ☛ How_to_Upgrade_to_Linux_Mint_21_from_20.3:_The Proper_Way⠀⇛ This article will guide you through all the steps to upgrade your current Linux Mint 20.3 system to Linux Mint 21. As we informed you earlier, Linux Mint 21 “Vanessa” has been available to all fans of this widely popular Ubuntu-based Linux distribution for some time. As expected, most users of the previous stable release 20.3 were eagerly waiting for the official Linux Mint upgrading tool to emerge to update to the next version, Linux Mint 21. o § Desktop Environments/WMs⠀➾ # ⚓ OMG Ubuntu ☛ Papirus_Icon_Theme’s_August_Update_Adds_45+ New_Icons⠀⇛  Building on July’s impressive haul, developers introduce more than 45 new and updated icons in the latest refresh, including new icons for a couple of apps recently featured here on the blog, including the powerful GTK audio metadata editor Tagger, and the long-awaited Plex Desktop Linux client. Papirus is by far one of the most comprehensive best icon sets for Ubuntu and other Linux distributions. It provides coverage for all sorts of software, from established open source tools to niche proprietary apps and games. # § K Desktop Environment/KDE SC/Qt⠀➾ # ⚓ KDE Official ☛ Akademy_2022_Talk_Schedule_Now_Live_| KDE.news⠀⇛ After two years of virtual conferences, the in-person on-site version of Akademy is finally back! This year you will be able to attend Akademy, meet KDE community members face-to-face, get to know the vibrant city of Barcelona, and enjoy interesting and intriguing talks, panels and keynotes. That said, even if you can’t make it to Barcelona, you can still attend Akademy online as well. # § GNOME Desktop/GTK⠀➾ # ⚓ Ubuntubuzz ☛ Useful_10_GNOME_Extensions_for_Ubuntu 22.04⠀⇛ This is our recommended ten useful GNOME shell extensions for Ubuntu 22.04. It lists out just work ones of them, like, Dash to Panel, and also how to install them via the brand new application, namely, Extension Manager. # ⚓ Purism ☛ Purism_at_Berlin_Mini_GUADEC_–_Purism⠀⇛ GUADEC is the main yearly GNOME conference, where developers, designers, and other community members gather in one place to watch talks, hack on new features, and plan for the future. Given Purism’s close involvement with GNOME development we used to attend GUADEC as a team before COVID, but of course in the past two years it was remote due to the pandemic. While online conferences are better than nothing, they’re really not the same thing. That’s why last year a few local GNOME people based in and around Berlin got together in person to watch the remote event and do some hacking, which ended up being very fun and productive. So when we learned that this year’s GUADEC would be in Guadalajara, Mexico we decided to repeat last year’s experiment. Flying to Mexico for a week in the middle of a climate emergency is really not great, especially given that there’s a pretty large local community in Berlin itself and several more people who live relatively close by in central Europe. # ⚓ Ubuntu Handbook ☛ ‘Just_Perfection’_Finally_Fixed Window_Height_for_Low_Resolution_Displays_| UbuntuHandbook⠀⇛ The popular Gnome Extension ‘Just Perfection‘ got an update recently, with love for small displays, e.g., 13 inch laptop with 1366 x 768 screen resolution. For those never heard of the tool, it’s an extension, with lots of configuration options for customizing your Ubuntu, Fedora, or other Linux’s GNOME desktop appearance. With it, you can hide the top-bar, the dock, ‘Activities’ button; change the position of clock menu; configure panel height, position (top or bottom), panel icon size, padding; change notification bubble size, location, and much more. And it supports profiles to quickly switch between your pre-defined layouts and behaviors. * § Distributions and Operating Systems⠀➾ o ⚓ LinuxInsider ☛ New_MakuluLinux_Brings_‘Shifting’_Innovations_to Desktop_Design_[Review]⠀⇛ MakuluLinux Shift is one solution to standardizing the Linux desktop. From a marketing standpoint, two big impediments block a more widespread adoption of the Linux operating system for business and consumer desktop use. One is easily selecting a desktop environment from among varied options. The second is wading through the myriad of independently developed Linux distributions. These two barriers are both a blessing and a curse of open-source desktop computing. MakuluLinux offers a simplified solution to both. MakuluLinux, around since 2013, does not have the name recognition of more popular desktop distributions. But do not overlook a gem that gets shinier with each new release. Jacque Montague Raymer, developer and creator of MakuluLinux, released the latest upgrade on June 13 to his new Shift distro. It continues to revolutionize the Linux user interface scenario. These innovations push the Linux desktop to new limits. No other Linux OS is developing at this level. The shift distro should provide other Linux developers with a solid concept to pursue similar innovations. o § New Releases⠀➾ # ⚓ Linuxiac ☛ Rescuezilla_2.4_Disk_Imaging_App_Is_Here_Based on_Ubuntu_22.04⠀⇛ Rescuezilla 2.4 upgrades its basis from Ubuntu 21.10 to Ubuntu 22.04 to improve compatibility with modern hardware. Rescuezilla is a free, easy-to-use hard disk cloning and imaging software based on Ubuntu that boots a live USB. It is a well-known and proven tool in system administrators’ toolboxes. Rescuezilla is a fork of Redo Backup and Recovery, but more importantly, it is fully compatible with Clonezilla, the other leading free software in this niche. In addition, it can be said that Resceuzilla is similar to Clonezilla but with an added graphical interface (GUI). # ⚓ Barry Kauler ☛ EasyOS_Dunfell-series_64-bit_version_4.3.3⠀⇛ Very similar to version 4.3, that was released on July 30, 2022: https://bkhome.org/news/202207/easyos-dunfell- series-version-43-released.html Small improvements, see release notes: https://distro.ibiblio.org/easyos/amd64/releases/ dunfell/2022/4.3.3/release-notes.htm The main reason I have brought out this release, is have bumped Limine to 3.14.2, and want to test it on a Fujitsu laptop, that has proved to be difficult, it seems, due to having 32-bit UEFI o § Red Hat⠀➾ # ⚓ SSH_from_RHEL_9_to_RHEL_5_or_RHEL_6_|_Richard_WM_Jones⠀⇛ RHEL 9 no longer lets you ssh to RHEL ≤ 6 hosts out of the box. You can weaken security of the whole system but there’s no easy way to set security policy per remote host. # ⚓ Enterprisers Project ☛ IT_leadership:_You_gotta_have H.E.A.R.T.⠀⇛ Humility, Empathy, Adaptability, Resilience, and Transparency: H.E.A.R.T. # ⚓ Red Hat Official ☛ RHEL_9_delivers_latest_container technologies_for_development_and_production⠀⇛ Three years ago, with the release of Red Hat Enterprise Linux 8 (RHEL 8), we delivered a new set of container tools with a new concept called Application Streams. These new container tools enabled RHEL users to find, run, build and share containers. For more information on why RHEL moved from Docker to Podman (and the journey it took us to get there) see RHEL 8 enables containers with the tools of software craftsmanship. In our previous release, What’s new in Red Hat Enterprise Linux 8.5 Container Tools?, we introduced a lot of the foundational features and capabilities needed to get to RHEL 9. # ⚓ Enterprisers Project ☛ Artificial_Intelligence:_3_ways_the pandemic_accelerated_its_adoption⠀⇛ The need for organizations to quickly create new business models and marketing channels has accelerated AI adoption throughout the past couple of years. This is especially true in healthcare, where data analytics accelerated the development of COVID-19 vaccines. In consumer-packaged goods, Harvard Business Review reported that Frito-Lay created an e-commerce platform, Snacks.com, in just 30 days. # ⚓ OpenSource.com ☛ How_open_organizations_can_harness_energy disruptions⠀⇛ Many people talk a lot about the values of Open Organization Principles, but in many ways, they require people to change how they do things, which can be difficult. That is true for businesses and industries as well. Disruption in many sectors is coming. How do we use Open Principles to address them? This article looks at what’s happening in industries related to energy and transportation when it comes to drastic costing changes that will lead to industrial disruption. Business disruption is happening through new technology or methods, which will slash costs. This is forcing industrial change. Consider the oil, coal, natural gas, nuclear, petroleum, biofuels, and charcoal (the primary energy in many developing countries) industries. All these industries are grouped in the fossil fuel-burning energy- generating industry. Imagine them all becoming obsolete and totally replaced by the solar and wind industries in the next decade or so because of costs. That is industrial disruption. # ⚓ Red Hat ☛ OpenTelemetry:_A_Quarkus_Superheroes_demo_of observability⠀⇛ Are you building microservices? Do you struggle with observability and with capturing telemetry data between distributed services? This article shows how to quickly and easily introduce OpenTelemetry into a distributed system built on Java with Quarkus. This combination allows you to visualize the interactions between all the microservices within an overall system. The article introduces the official Quarkus sample application, Quarkus Superheroes, deploys it on the free Developer Sandbox for Red Hat OpenShift, and demonstrates how to collect and visualize telemetry data in order to observe microservices’ behavior. o § Debian Family⠀➾ # ⚓ Bits_from_Debian:_Debian_Day_2022_–_call_for_celebration [Ed: One day after Debian celebrated censorship (by itself) of its own volunteers to hide Debian's problems]⠀⇛ Every year on August 16th, the anniversary of the Debian Project takes place. And several communities around the world celebrate this date by organizing local meetings in an event called “Debian Day”. So, how about celebrating the 29th anniversary of the Debian Project in 2022 in your city? We invite you and your local community to organize Debian Day by hosting an event with talks, workshops, bug squashing party, OpenPGP keysigning, etc. Or simply holding a meeting between people who like Debian in a bar/pizzeria/cafeteria/restaurant to celebrate. In other words, any type of meeting is valid! o § Canonical/Ubuntu Family⠀➾ # ⚓ DebugPoint ☛ Complete_Upgrade_Guide_to_Linux_Mint_21_ (Vanessa)_from_20.3⠀⇛ A complete tutorial on how to upgrade to Linux Mint 21 (Vanessa) from Linux Mint 20.3 with the graphical method. # ⚓ Neowin ☛ Upgrade_path_to_Linux_Mint_21_opens_up_with graphical_upgrade_tool_–_Neowin⠀⇛ The Linux Mint team has announced the opening up of upgrades from Linux Mint 20.3 to Linux Mint 21. It’s the first time that Linux Mint users will be able to jump between major versions using a graphical interface. Despite the upgrade process being made simpler, users are still advised to take their time with it and prepare system snapshots. o § Devices/Embedded⠀➾ # ⚓ CNX Software ☛ Conclusive_Engineering_WHLE-LS1_networking SBC_offers_4x_GbE,_2x_10GbE_SFP+_cages⠀⇛  Conclusive Engineering WHLE-LS1 is a networking SBC powered by a choice of NXP Layerscape LS1xx8A Cortex-A72 or Cortex-A53 communication processors with four Gigabit Ethernet ports, two SFP+ cages capable of up to 10Gbps data rates. The board also features one SO-DIMM socket for up to 32GB DDR4, up to 64GB eMMC flash, M.2 PCIe sockets for NVMe SSDs, USB 3.0 host and USB 2.0 device ports, an RTC with backup battery, as well as serial and JTAG debug interfaces. [...] Conclusive Engineering says mainline Linux is supported, FreeBSD 13 support is available upon request, and U-boot, UEFI EDK2, and Arm Trusted Firmware are also supported. # ⚓ Raspberry Pi ☛ Pico_railway_clock⠀⇛ Martin and Vanessa had purchased what was essentially a secondary clock – ineffective without a mother clock. To get it working, they decided to build a mother clock themselves with a few additional components and some code running on a Raspberry Pi Pico microcontroller. # ⚓ Linux Gizmos ☛ Bombercat_is_a_security_tool_that_combines an_RP2020_and_an_ESP32_MCUs⠀⇛ The BomberCat board by ElectronicCats is a device powered by an RP2040 chip and a ESP32 microcontroller. According to the company, this security tool supports NFC technology and magnetic stripe technology. Moreover, the board was specially created to audit, read or emulate magnetic stripes and NFC cards.  o § Open Hardware/Modding⠀➾ # ⚓ Arduino ☛ Building_a_DIY_laser_modem_|_Arduino_Blog⠀⇛ All digital communication ultimately comes down to transmitting ones and zeroes, but there are many ways to achieve that. One can encode that binary data as modulation in a radio signal or simply pulse electricity through a wire. But one of the most interesting methods is optical. Flashing a light is a great way to transmit data over long distances at high speed. Fiber optic cables are the most common medium, but it is also possible to shine light through open air. To demonstrate this concept, Nino Ivanov built his own laser modem. In theory, this should be a very straightforward device: just point a laser at a photoresistor. Pulse the laser so that it is on for ones and off for zeroes. Then measure the resistance of the photoresistor to read those ones and zeroes. But as Ivanov explains, there are two issues with this setup. The first is that photoresistors are slow to respond to light changes and that severely limits the data transmission speed. The second issue is that it isn’t always obvious what is a zero bit (no light) and what is an absence of data transmission altogether. o § Mobile Systems/Mobile Applications⠀➾ # ⚓ Digital Trends ☛ When_is_my_phone_getting_Android_13? Google,_Samsung,_and_more_|_Digital_Trends⠀⇛ # ⚓ TechRadar ☛ Samsung_Galaxy_S22_vs_Pixel_6a:_What’s_the latest_go-to_Android_phone?_|_TechRadar⠀⇛ # ⚓ Geeky Gadgets ☛ Upgrade_your_car_to_Android_11_–_Geeky Gadgets⠀⇛ # ⚓ HowTo Geek ☛ How_to_See_the_First_Android_App_You_Ever Installed⠀⇛ # ⚓ Meet_the_Retroid_Pocket_3,_an_Android-Powered_Handheld Console⠀⇛ # ⚓ Phone Arena ☛ Vote_now:_Would_you_buy_an_Apple_Watch_if_it supported_Android_pairing?_–_PhoneArena⠀⇛ * § Free, Libre, and Open Source Software⠀➾ o § Web Browsers⠀➾ # ⚓ Make Use Of ☛ Brave_vs._Tor:_Which_Browser_Offers_More Security_and_Privacy?⠀⇛ There are dozens of web browsers out there, some more popular than others, but only a select few can actually be considered both safe and private. Brave and the Tor Browser are certainly among them, and though they are similar in some respects, they are two very different pieces of software. o § Education⠀➾ # ⚓ [Old] Unix Sheikh ☛ Don’t_use_Reddit_for_Linux_or_BSD related_questions⠀⇛ Last, but not least, if you have ever felt sad or negative by the behavior of the “toxic” people these places, don’t waste your time feeling depressed. Surely, if a drunk idiot on the street shouts at you, yelling that you’re a fool, stupid, wrong, or something else, you would hardly notice because, well, he’s drunk. He doesn’t even know what he’s saying. Then why would you pay attention to the even bigger idiot on a social media platform!? o § Programming/Development⠀➾ # ⚓ Medevel ☛ Create_Next.js_MongoDB_Powered_App_in_10_minutes with_This_Open-source_Boilerplate⠀⇛ Next.js is an opens-source React framework for building scalable web applications. It supports static website generation, and server-side rendering. Next.js comes with full TypeScript support, fast bundling, client routing, pre-fetching, and it does not require extensive configuration like its competitors. # § Perl / Raku⠀➾ # ⚓ Perl ☛ Perl_Weekly_Challenge_177:_Damm_Algorithm_and Palindromic_Prime_Cyclops⠀⇛ # ⚓ Rakulang ☛ Rakudo_Weekly_News:_2022.32_2nd_Conf⠀⇛ Two days of just stuff about the Raku Programing Language at the second Raku Conference this weekend. Online only, alas. Hopefully in person next year! Ah, and if you would like to give a lightning talk, there’s still room for that! And don’t forget to register if you haven’t already! # § Python⠀➾ # ⚓ atuf.app:_Amsterdam_Toilet_&_Urinal_Finder_– FoolControl:_Phear_the_penguin⠀⇛ atuf.app is a Python web app made to work great on both mobile and desktop environments. After app is run, every action will be performed automatically. From fetching (scraping) data from Maps Amsterdam to performing data manipulation on it, and then displaying processed data on a map using Folium (Python Data, Leaflet.js Maps) project. App container image is also built & released using automated scripts after which it’s deployed to RPI Kubernetes cluster running in my home. # § Rust⠀➾ # ⚓ Rust Blog ☛ Rust_Compiler_Midyear_Report_for_2022_| Inside_Rust_Blog⠀⇛ Back in February, the compiler team posted a collection of concrete initiatives and hopeful aspirations for this year. This post is a midyear report summarizing the progress so far on all of those items. [...] Each work item, regardless of whether it had resources committed or not, had an associated owner. To construct this progress report, pnkfelix sent each owner a survey (you can see what it looks like here). In fact, some work items had multiple subprojects, each with its own owner. This meant there were actually a total of 22 projects for which we received an update. This blog post is the compilation (ha ha) of those survey results. o § Standards/Consortia⠀➾ # ⚓ [Old] HiveMQ Gmbh ☛ MQTT_Client_and_Broker_and_MQTT_Server and_Connection_Establishment_Explained_–_MQTT_Essentials: Part_3⠀⇛ Welcome to the third edition of MQTT Essentials – a ten-part blog series on the core features and concepts of the MQTT protocol. In this post, we will discuss the roles of the MQTT client and broker, the parameters and options that are available when you connect to a MQTT broker, and explain MQTT server and connection establishment. # ⚓ The Verge ☛ DeWalt_gave_my_power_tool_battery_the_power_of USB-C⠀⇛ The $100 DeWalt DCB094 USB Charging Kit lets you add that port to any DeWalt 20V power tool battery in a literal snap. Slide this quarter-pound adapter onto your battery pack, and you get a bi- directional 100W USB-C PD port. That means not only can you charge up to a MacBook Pro-sized laptop with a big enough DeWalt pack, you can charge those DeWalt packs with your laptop or phone’s USB- C charger as well. * § Leftovers⠀➾ o ⚓ Common Dreams ☛ Opinion_|_Beyond_Plastics:_How_Much_Do_We_Love Life?⠀⇛ Back in 1967 people were electrified by “The Graduate,” especially the scene of 40+ Anne Bancroft seducing 21- year-old Dustin Hoffman. But there was another iconic moment when one of his parents’ friends definitively pronounces one word to Hoffman that would assure his future business success: “plastics.” o ⚓ Counter Punch ☛ My_Dad,_Indiana_Jones_and_Peru⠀⇛ Since then, it’s occurred to me that my dad is somewhat similar to Indiana Jones. Like the famed archaeologist, he’s part educator and part adventurer. My father was a teacher, who eventually worked his way to school administration. Although retired, he remains a mountaineer in every sense of the word — hiking, skiing, rock and ice climbing. I was reminded of this recently, as I rewatched Indiana Jones and the Kingdom of the Crystal Skull. I noted my feelings at SlaughterFreeAmerica.substack.com: “Way back when, I thought Harrison Ford was too old and the tone was too silly. But I’ve come around and decided I quite like an aging Jones surviving a nuclear blast in a refrigerator. I always enjoyed Shia LaBeouf’s portrayal of his greaser son.“ o ⚓ Hackaday ☛ Robot_Repeatedly_Rearranges_Remnants_In_The_Round⠀⇛ Sisyphus is an art installation by [Kachi Chan] featuring two scales of robots engaged in endless cyclic interaction. Smaller robots build brick arches while a giant robot pushes them down. As [Kachi Chan] says “this robotic system propels a narrative of construction and deconstruction.” The project was awarded honorary mention at the Ars Electronica’s Prix Ars 2022 in the Digital Communities category. Watch the video after the break to see the final concept. o ⚓ Counter Punch ☛ Past_Them_Have_Hastened_Processions_of_Retreating Gunteams⠀⇛ At least a number of my fellow presenters did know what they were talking about. Some of them were still bravely combatting their own terrible life experiences at the same time as educating the rest of us on why the voices of those with lived experiences are important, especially if we wish to destigmatise the subject and create solutions. The special individuals in question included American artist Kendall Alaimo, Austrian artist Laurent Ziegler, and North Korean writer Ji Hyun Park, who escaped a remarkable two times from North Korea. For my sins, in the end I wanted to examine how few things are exactly what they seem. I discussed the fact I had recently seen the documentary ‘The Real Mo Farah’ on Olympic gold medal winning long-distance runner Mo Farah. It had promised to tackle the issue of trafficking in persons head-on. My family and I were on our knees, I remembered, watching each of Mo Farah’s awe-inspiring races leading to his two gold medals at the London 2012 Olympics. I remembered us all shunting ever closer to the TV screen as he ran straight-backed and elegant both times towards the finishing line. A remarkable man, a remarkable story, in many ways a remarkable film. It spoke of an unsettled childhood and genuinely fearful journey made by a young boy from Somaliland to the UK. I was also struck by the importance in the gifted runner’s later childhood of one of his London teachers. o ⚓ Hackaday ☛ Want_Faster_Extrusion_But_Don’t_Have_A_Volcano? Nuts!⠀⇛ A lot of people want to print faster. Maybe they don’t like to wait, or they need to print a lot of things. Maybe it is just human nature to want to push things to go faster. The problem is, if you move filament too fast it may not have time to melt inside the hot end. To combat that, some people install a “volcano” — a larger heat block that takes a special longer nozzle. The melt zone is longer so there is more time for the filament to liquefy before shooting out of the nozzle. This is also a problem if you are using a very large nozzle size. But what if you don’t have one of these special hot ends? According to [Stefan], you can use a normal hotend with a volcano-style nozzle just by adding some common nuts. You can see the explanation in the video, below. o ⚓ Hackaday ☛ Real_Robot_One_Is…_Real⠀⇛ Most of the robot arms we see are cool but little more than toys. Usually, they use RC servos to do motion and that’s great for making some basic motion, but if you want something more industrial and capable, check out [Pavel’s] RR1 — Real Robot One. The beefy arm has six degrees of freedom powered by stepper motors and custom planetary gearboxes. Each joint has an encoder for precise position feedback. The first prototype is already working, as you can see in the video below. Version two is forthcoming. o § Education⠀➾ # ⚓ Times Higher Education ☛ Buyer_beware:_university_brand partnerships_have_their_pitfalls⠀⇛ Last month, Nick Isles, CEO of Condé Nast College of Fashion and Design, suggested that we stop being squeamish about higher education’s increasingly commercial mindset. But many of the measures he suggested – from selling course naming rights to establishing direct talent pipelines into corporations – are not new, and history suggests that there are some pitfalls to beware of. o § Hardware⠀➾ # ⚓ Hackaday ☛ Build_A_Tablet_Out_Of_Your_Framework Motherboard⠀⇛ The Framework laptop project is known for quite a few hacker-friendly aspects. For example, they encourage you to reuse its motherboard as a single- board computer – making it into a viable option for your own x86-powered projects. They have published a set of CAD files for that, and people have been working on their own Framework motherboard-based creations ever since; our hacker, [whatthefilament], has already built a few projects around these motherboards. Today, he’s showing us the high-effort design that is the FrameTablet – a 15″ device packing an i5 processor, all in a fully 3D printed chassis. The cool part is – thanks to his instructions, you can build one yourself! # ⚓ Hackaday ☛ Homemade_CAT_Scan_Shouldn’t_Scan_Cats⠀⇛ [Pyrotechnical] thought about buying a CAT scanner and found out they cost millions of dollars. So he decided to build one for about $200 using a salvage X-ray tube and some other miscellaneous parts. A scintillating detector provides the image for pick up with a camera phone. The control? An Arduino, what else? You can watch the video below, but due to plenty of NSFW language, you might want to put your headphones on if you don’t want to shock anyone. o § Health/Nutrition/Agriculture⠀➾ # ⚓ India Times ☛ 85_per_cent_of_Indian_children_have experienced_cyberbullying:_Survey⠀⇛ Around 85 per cent of Indian children have reported being cyberbullied as well as having cyberbullied someone else at rates well over twice the international average, according to a McAfee Cyberbullying report released on Sunday. Cyberbullying includes racism, trolling, personal attacks and sexual harassment, among others. The survey was conducted between June 15 to July 5 covering 11,687 parents and their children across 10 countries. # ⚓ Rolling Stone ☛ Insulin_Will_Remain_Expensive_for_Many, Thanks_to_Republicans⠀⇛ Around 37.3 million Americans, 11.3 percent of the population, have diabetes. Around 1 in 5 diabetic Americans with private insurance have to shell out more than $35 per month for the insulin they need to stay alive, according to a Kaiser Family Foundation analysis cited by The Washington Post. And insulin is a “catastrophic” expense for 14 percent of the seven million Americans who need it daily, according to a Yale University study. That means those 14 percent are spending at least 40 percent of their monthly income (after paying for food and housing) on insulin. # ⚓ Common Dreams ☛ ‘What_the_Hell_is_Wrong_With_Them’:_GOP Senators_Kill_$35_Cap_on_Insulin⠀⇛ Senate Republicans on Sunday successfully stripped a proposed $35 per month cap on out-of-pocket spending on insulin for patients enrolled in private insurance from the tax and climate bill making its way through the Senate. The Senate parliamentarian had earlier ruled that the provision, sponsored by Georgia Democratic Senator Raphael Warnock, is not primarily related to the federal budget and thus not eligible for a reconciliation bill. The ruling gave Republicans a chance to kill the proposal. # ⚓ NBC ☛ On_a_reservation_where_alcohol_is_banned,_Oglala Sioux_Tribe_embraces_recreational_marijuana_sales⠀⇛ Customers visiting a dispensary on a recent Friday said they view marijuana as a safe and natural way to obtain relief from mental health disorders and chronic illnesses, which are common among tribal citizens. But they said alcohol has wreaked havoc on the health, safety and life expectancy of tribal members. # ⚓ TruthOut ☛ Confusion_Over_COVID_Vaccine_Safety_Led_to_Many Avoidable_Stillbirths⠀⇛ # ⚓ Counter Punch ☛ The_Fuss_About_Monkeypox⠀⇛ Little time has been spent waiting for the growing threat that is monkeypox (MPXV).  The WHO has now declared it a “public health emergency of international concern”.  The US Centers for Disease Control and Prevention (CDC) global map charting the outbreak has the following breakdown of cases as of August 3: 26,208 in total, with 25,864 noted in countries that have not historically reported monkeypox. On June 2, the organisation published a brochure list of dot points, noting that most individuals who contracted the viral infection would “recover fully without treatment, but in some cases, people can get seriously ill.”  In a reminder that the virus is yet another example of transmission from an animal species to humans, the brochure notes that it was found in monkeys. o § Security⠀➾ # ⚓ Bruce Schneier ☛ NIST’s_Post-Quantum_Cryptography_Standards [Ed: NIST works for NSA (i.e. back doors) agenda, and this is what NSA Bruce has to say on the topic]⠀⇛ Quantum computing is a completely new paradigm for computers. A quantum computer uses quantum properties such as superposition, which allows a qubit (a quantum bit) to be neither 0 nor 1, but something much more complicated. In theory, such a computer can solve problems too complex for conventional computers. Current quantum computers are still toy prototypes, and the engineering advances required to build a functionally useful quantum computer are somewhere between a few years away and impossible. Even so, we already know that that such a computer could potentially factor large numbers and compute discrete logs, and break the RSA and Diffie-Hellman public-key algorithms in all of the useful key sizes. Cryptographers hate being rushed into things, which is why NIST began a competition to create a post- quantum cryptographic standard in 2016. The idea is to standardize on both a public-key encryption and digital signature algorithm that is resistant to quantum computing, well before anyone builds a useful quantum computer. NIST is an old hand at this competitive process, having previously done this with symmetric algorithms (AES in 2001) and hash functions (SHA- 3 in 2015). I participated in both of those competitions, and have likened them to demolition derbies. The idea is that participants put their algorithms into the ring, and then we all spend a few years beating on each other’s submissions. Then, with input from the cryptographic community, NIST crowns a winner. It’s a good process, mostly because NIST is both trusted and trustworthy. In 2017, NIST received eighty-two post-quantum algorithm submissions from all over the world. Sixty-nine were considered complete enough to be Round 1 candidates. Twenty-six advanced to Round 2 in 2019, and seven (plus another eight alternates) were announced as Round 3 finalists in 2020. NIST was poised to make final algorithm selections in 2022, with a plan to have a draft standard available for public comment in 2023. # ⚓ LWN ☛ Security_updates_for_Monday_[LWN.net]⠀⇛ Security updates have been issued by Debian (chromium, libtirpc, and xorg-server), Fedora (giflib, mingw-giflib, and teeworlds), Mageia (chromium-browser-stable, kernel, kernel-linus, mingw-giflib, osmo, python-m2crypto, and sqlite3), Oracle (httpd, php, vim, virt:ol and virt-devel:ol, and xorg-x11-server), SUSE (caddy, crash, dpkg, fwupd, python-M2Crypto, and trivy), and Ubuntu (gdk-pixbuf, libjpeg-turbo, and phpliteadmin). # ⚓ Red Hat Official ☛ Red_Hat_Satellite:_How_to_obtain Insights_Advisor_recommendations [Ed: Red Hat trying to sell security as a "service"]⠀⇛ Red Hat Insights is a hosted service that analyzes applications and platforms to predict risk and recommend detailed remediation steps. Insights also has the ability to remediate problems automatically with a push of a button. Red Hat Satellite manages Red Hat Enterprise Linux (RHEL) environments on-premises and in the cloud, helping to ensure that security is up to date while allowing businesses to manage the lifecycle of their hosts with precision. # ⚓ Hacker News ☛ New_IoT_RapperBot_Malware_Targeting_Linux Servers_via_SSH_Brute-Forcing_Attack [Ed: Once again the sloppy media tries to blame bad passwords on "Linux" even though that has nothing to do with Linux]⠀⇛ A new IoT botnet malware dubbed RapperBot has been observed rapidly evolving its capabilities since it was first discovered in mid-June 2022. “This family borrows heavily from the original Mirai source code, but what separates it from other IoT malware families is its built-in capability to brute force credentials and gain access to SSH servers instead of Telnet as implemented in Mirai,” Fortinet FortiGuard Labs said in a report. # ⚓ GwisinLocker_A_New_Ransomware_Encrypts_Windows_and_Linux ESXi_Servers [Ed: With Windows, back doors exist. With Linux, it's not clear how such malware gets there in the first places, but they try to give an illusion of parity, as if back doors aren't the biggest problem.]⠀⇛ A new ransomware family has been discovered by ReversingLabs’ cybersecurity analysts, which targets specifically Linux-based systems using a range of encryption methods. GwisinLocker is the malware responsible for the attack. # § Privacy/Surveillance⠀➾ # ⚓ [Old] Mashable ☛ Why_you_need_a_secret_phone_number_ (and_how_to_get_one)⠀⇛ Your phone number was never meant to be an all-access pass to your life. That 10-digit string has likely followed you worldwide and across the internet for years. Over the course of that time, you’ve almost certainly handed it out — willingly or otherwise — to every person, restaurant, social media platform, or online store that’s asked. That’s a problem. For someone with the right motivation, that number is a thread that, once pulled, can unravel your entire digital life — crashing down your privacy, bank account, or even your very identity. But it doesn’t have to be. # ⚓ India Times ☛ DuckDuckGo_to_block_Microsoft_trackers amid_backlash⠀⇛ Following the May disclosure that the privacy-focused online browser DuckDuckGo permits Microsoft to track scripts on external sites, the platform now claims to begin banning those as well. The platform said it was announcing more privacy and transparency around DuckDuckGo’s web tracking protections after community backlash. # ⚓ PC World ☛ DuckDuckGo_will_now_block_Microsoft trackers⠀⇛ DuckDuckGo has made a name for itself protecting users from being tracked and preserving their anonymity, which is why folks were understandably upset when they discovered that the browser maker had given the green light to being tracked by Microsoft. On Friday, the search engine remedied that. As of today, DuckDuckGo chief executive Gabriel Weinberg said that it will expand the scripts that “we block from loading on websites to include scripts from Microsoft in our browsing apps (iOS and Android) and our browser extensions (Chrome, Firefox, Safari, Edge and Opera), with beta apps to follow in the coming month.” # ⚓ Advocacy_groups_in_the_Americas_focus_on_tackling rising_surveillance_technology⠀⇛ In recent years, technology has prevailed as the go-to solution for fighting crime in the Americas. Nevertheless, this tendency to technosolutionsism by governments has been widely criticised. Tools developed and deployed with the justification that they are needed to fight crime are failing to comply with basic human rights standards, while initiatives to build more “intelligent” cities are turning into invasive systems that collect and exploit data without sufficient transparency. In many cases, authoritarian regimes use new technologies to invade citizens’ privacy, impacting migrant communities, journalists, rights defenders, and political opponents. Human rights groups point out that governments have been hard at work installing massive surveillance and facial recognition systems without public consultation or participation and using technology developed outside of the region. Among the cases of the use of the controversial spyware technology Pegasus brought to light earlier this year is that of award-winning Central American news outlet El Faro, thanks to an investigation led by a coalition of digital rights organisations (among them Access Now, Citizen Lab and Social TIC). The Inter-American Court of Human Rights has also expressed deep concern and urged the government of El Salvador to open an investigation. Digital rights groups signed a joint statement at the time, calling on international and regional bodies to take urgent actions. o § Defence/Aggression⠀➾ # ⚓ TruthOut ☛ Growth_of_Borderland_Policing_Is_Deadly_for Migrants⠀⇛ o § Transparency/Investigative Reporting⠀➾ # ⚓ The Verge ☛ California_DMV_accuses_Tesla_of_making_false claims_about_Autopilot_and_Full-Self_Driving⠀⇛ California’s Department of Motor Vehicles (DMV) has accused Tesla of falsely advertising its Autopilot and Full Self-Driving (FSD) features, as reported earlier by the Los Angeles Times (via CNBC). The agency filed two separate complaints with the state’s Office of Administrative Hearings on July 28th, alleging Tesla made “untrue or misleading” claims about its vehicles’ autonomous driving capabilities. o § Environment⠀➾ # ⚓ NBC ☛ Taylor_Swift,_Kylie_Jenner_and_the_very_real_climate consequences_of_private_planes⠀⇛ And while celebrities are absolutely contributing to the climate crisis, it’s the carbon hypocrites who really stand out, the people like Bill Gates who travel around the world speaking about climate change while racking up hundreds of thousands of air miles in their private jets. All the evidence shows that most of the super-rich, including many celebrities and public figures, even when they lead campaigns against climate change, are spewing way more than their share of greenhouse gases because of their private jets, superyachts, multiple houses and mobile lifestyles. And buying carbon offsets does not make the emissions go away. So while it may feel unfair to some people to single out any one celebrity for usage, it is absolutely fair to highlight the massive and disproportionate impact of celebrity private plane travel. # ⚓ TruthOut ☛ Climate_Reality_Is_Hitting_Us_Like_a_Breakaway Glacier⠀⇛ # § Energy⠀➾ # ⚓ NPR ☛ The_U.S._made_a_breakthrough_battery_discovery —_then_gave_the_technology_to_China⠀⇛ The Chinese company didn’t steal this technology. It was given to them — by the U.S. Department of Energy. First in 2017, as part of a sublicense, and later, in 2021, as part of a license transfer. An investigation by NPR and the Northwest News Network found the federal agency allowed the technology and jobs to move overseas, violating its own licensing rules while failing to intervene on behalf of U.S. workers in multiple instances. # ⚓ Counter Punch ☛ We_Stopped_a_Fossil_Fuel_Pipeline_in Idaho….And_We’re_Just_Getting_Started⠀⇛ What we did in this case was unprecedented: after litigating this case for two years and filing our opening brief, the government tucked its tail and ran, without even waiting for a final court order. We have never seen this in a legal challenge to a pipeline before. What this means is no possibility for any appeals to an ideological Supreme Court that would reverse this win if given the chance. Instead, this win is here to stay. # § Wildlife/Nature⠀➾ # ⚓ Counter Punch ☛ Yet_Another_Misleading_Piece_on Wildfires_From_the_New_York_Times⠀⇛ The journalists did get the ultimate cause of wildfires correct—changing climate, but they go on to list other “proximate” causes that would not have any significance without climate warming. The article strongly correlates climate change with hotter, drier conditions as one of the main factors driving large blazes—this important message used to be ignored by the media and is now getting more print and airtime. Hot, dry conditions make it easier for vegetation to ignite and spread. Plus, the fire season when vegetation is susceptible to fire is longer—all good points. o § Finance⠀➾ # ⚓ TruthOut ☛ 75%_of_New_Jobs_Require_a_Degree_While_Only_40% of_Potential_Applicants_Have_One⠀⇛ # ⚓ TruthOut ☛ 98_Million_Skipped_Treatment_or_Cut_Back_on Spending_to_Pay_for_Care_This_Year⠀⇛ # ⚓ Counter Punch ☛ How_to_Resist_the_Empire’s_Neoliberal_Debt Trap⠀⇛ Now, in The Destiny of Civilization: Finance Capitalism, Industrial Capitalism or Socialism, Hudson provides a series of lectures on neoliberalism to Chinese economic planners, meant as a contribution to ongoing Chinese debates about the direction of the super-successful Chinese economy. (This level of trust is shared by few other US economists, notably Jeffrey Sachs and Joseph Stiglitz.) Hudson explains how Washington’s aggressive neoliberalism, bolstered by military force, is backfiring. In one of his many articles in recent months, Hudson says:  The US/NATO confrontation with Russia in Ukraine is achieving just the opposite of America’s aim of preventing China, Russia and their allies from acting independently of U.S. control over their trade and investment policy. Naming China as America’s main long-term adversary, the Biden Administration’s plan was to split Russia away from China and then cripple China’s own military and economic viability. But the effect of American diplomacy has been to drive Russia and China together, joining with Iran, India and other allies. For the first time since the Bandung Conference of Non-Aligned Nations in 1955, a critical mass is able to be mutually self- sufficient to start the process of achieving independence from Dollar Diplomacy. o § AstroTurf/Lobbying/Politics⠀➾ # ⚓ The Hill ☛ Musk_suggests_deal_could_go_through_if_Twitter provides_info_on_confirming_users⠀⇛ Tesla CEO Elon Musk suggested early Saturday that his acquisition deal with Twitter could still go through if the social media platform provided information about how it confirms that sampled accounts are real. # ⚓ Lawfare ☛ A_Frontier_Without_Direction?_The_U.K.’s_Latest Position_on_Responsible_Cyber_Power⠀⇛ Unsurprisingly, the speech repeated a clear U.K. position—reiterated at various U.N. fora on cyber norms—that “cyberspace is not a lawless ‘grey zone.’” However, Braverman’s speech then went on to articulate a rather distinct U.K. interpretation of the application of international law to peacetime offensive cyber operations. Braverman affirmed the U.K.’s continuing reliance, during peacetime, on the narrower principle of non-intervention, rather than the more commonly agreed-upon principle of national sovereignty in cyber governance. In the U.K.’s interpretation of non-intervention, a breach of one state’s sovereignty by another through offensive cyber operations itself does not constitute a breach of international law. To address when there is such a breach, Braverman turned to an expansive interpretation of coercive behavior under the principle of non-intervention as a means of scoping what is legally permissible. According to Braverman, to breach the principle of non-intervention, the action(s) must be “forcible, dictatorial, or otherwise coercive, depriving a State of its freedom of control over matters which it is permitted to decide freely by the principle of State sovereignty.” # ⚓ Scheerpost ☛ Biden’s_Wrong_About_Israel—It’s_Absolutely_an Apartheid_State⠀⇛ Juan Cole examines the U.S. president’s latest statement on Israel. # ⚓ Scheerpost ☛ Reeking_of_Butter⠀⇛ The House speaker has just given off a reek of butter that seems to have sent the whole of East Asia in search of hankies.   # ⚓ Counter Punch ☛ Nancy_Does_Taiwan_While_General_Flynn Cleans_His_Guns⠀⇛ Indeed, the militaristic nature of the Senator’s trip highlighted the exceedingly more martial approach undertaken by the United States against China in recent years; an approach that has seemingly intensified since Joe Biden became president. Although some commentators and politicians might try and claim that Donald Trump would not have militarized the situation between China and the US if he were still in office, I find that opinion to be both naive and ignorant of the moves taken by the Trump administration against China during his term. In fact, as the New York Times pointed out in its January 20, 2021 edition, “Among its final acts, the (Trump) administration declared that Beijing was committing genocide against Uighurs and other Muslims in a far western region. It held a video conference between a senior United States envoy and the president of Taiwan, the self-ruled island claimed by Beijing. And it jettisoned longstanding guidelines limiting exchanges with Taiwanese officials.” In other words, the Trump administration was instrumental in paving the way for Pelosi’s visit and the increased tensions that visit has provoked. Of course, it’s not like Donald Trump was doing anything unusual when his administration issued these and other anti-Beijing orders in its final days. US foreign policy is not usually a partisan endeavor. In other words, both the Democrats and the Republicans are died in the wool cheerleaders of Washington’s imperialistic policies overseas and will pretty much vote to fund any request they believe will further the goals of those policies. One need only look at the recent congressional votes to arm the Ukraine military and invite Sweden and Finland into the NATO military alliance to understand this. Both votes passed the Senate with overwhelming majorities ($40 billion to Ukraine:86- 11, NATO invitation:95-1) No matter what their differences over domestic spending on schools and health care, contraception and racism, the men and women elected to the US Congress rarely waiver from approving the requests of the Pentagon and those other agencies for which the military serves as the bared fist. # ⚓ Counter Punch ☛ Turning_People_into_Corporations⠀⇛ Now there’s a movement afoot to go the other way and turn people into corporations. Yes, I know, some people like Elon Musk and Donald Trump already act pretty much like corporations. When the famous turn themselves into brands—pop stars, mega-athletes—they basically transform themselves into businesses. # ⚓ Counter Punch ☛ Mainstreaming_Christian_Nationalism, Despite_Its_History_of_Violence⠀⇛ GOP Rep. Marjorie Taylor Greene, a far-right Donald Trump loyalist from Georgia, told an interviewer on July 23, 2022, that the Republican Party “need[s] to be the party of nationalism. And I’m a Christian, and I say it proudly, we should be Christian nationalists.” Similarly, Rep. Lauren Boebert, a Republican from Colorado, recently said, “The church is supposed to direct the government. The government is not supposed to direct the church.” Boebert called the separation of church and state “junk.” # ⚓ Telex (Hungary) ☛ The_Hungarian_doctor_who_was_mistaken_for Mengele,_the_feared_Nazi_doctor,_and_who_translated_Winnie the_Pooh_into_Latin⠀⇛ # ⚓ Common Dreams ☛ World_Faces_‘Loaded_Gun’_on_Hiroshima’s 77th_Anniversary⠀⇛ “Humanity is playing with a loaded gun” UN head Antonio Guterres said in Hiroshima on Saturday, the 77th anniversary of the United States atomic bomb attack on Japan. “Tens of thousands of people were killed in this city in the blink of an eye. Women, children and men were incinerated in a hellish fire,” he said. # ⚓ Common Dreams ☛ Opinion_|_Where_We_Stand_on_August_6_and_9, 2022⠀⇛ August 6 and 9 mark the 77th year since the United States dropped atomic bombs on the Japanese cities of Hiroshima and Nagasaki, annihilating instantly an estimated 170,000 women, men, and children and sentencing tens of thousands more to eventual death from radiation poisoning and injuries. # ⚓ Common Dreams ☛ Opinion_|_Africa:_Western_Colonialism_vs The_Legacy_of_the_Soviet_Union⠀⇛ Russian Foreign Minister Sergey Lavrov’s recent tour in Africa was meant to be a game changer, not only in terms of Russia’s relations with the continent, but in the global power struggle involving the US, Europe, China, India, Turkey and others. # ⚓ Common Dreams ☛ Senate_Barely_Approves_Scaled_Back Legislation_on_Climate,_Taxes,_Healthcare⠀⇛ The U.S. Senate on Sunday barely passed a $430 billion bill intended to fight climate change, lower drug prices, and raise some corporate taxes. The 51-50 party-line vote needed Vice President Kamala Harris to cast the tie-breaking ballot. Thanks to Senator Kyrsten Sinema (D-AZ), there was a huge, last-minute win for the private equity and hedge fund industries when Sinema forced the elimination of what would have been a $14 billion tax increase targeting private executives. # ⚓ Counter Punch ☛ To_the_New_York_Times_–_“We_Thought_We_Knew Ye”⠀⇛ The editors call it an historic revamping in the digital age that is absorbing a growing, aliterate younger generation. I call it a frantic overreach replacing serious content with excessive photography and graphics slouching toward stupefaction. (The digital Times is doing very well). I spend serious time reading the New York Times in print – marking up at least 30 selections daily and sending them to a variety of advocates, scholars and groups. I started reading this august newspaper at the age of ten. # ⚓ Counter Punch ☛ Griner’s_Sentence_is_in_Line_With_Russia’s Strict_Drug_Penalties,_But_How_Long_She_Serves_will_be Decided_Outside_the_Courtroom⠀⇛ The country has long enforced strict drug laws and has a well-deserved reputation for zero-tolerance jurisdiction. Indeed, the crime Griner was prosecuted of – smuggling narcotics in “significant amount” in violation of Article 229¹(2)(c) of the Russian criminal code – carries a minimum sentence of five to 10 years “deprivation of freedom” along with the fine, and the upper end of the spectrum seems to be common. The prosecutor in Griner’s case asked for 9 ½ years and, presumably, the maximum fine. He got most of what he wanted. # ⚓ Leslie_Wexner’s_Young_Global_Leaders⠀⇛ In this excerpt from her upcoming book, Whitney examines the Wexner Foundation’s origins and the ties of Leslie Wexner’s philanthropy and Jeffrey Epstein to Harvard as well as the now infamous Young Global Leaders program of the World Economic Forum. [...] It is hard to know exactly when the Wexner Foundation was originally created. The official website for the foundation states clearly in one section that the Wexner Foundation was first set up in 1983 alongside the Wexner Heritage Foundation. However, the 2001 obituary of Wexner’s mother, Bella, states that she and her son created the foundation together in 1973. Regardless of the exact year, Wexner’s mother, Bella, became the secretary of the foundation (just as she had with his company The Limited), which Wexner wanted people to refer to as a “joint philanthropy.” The foundation’s website states that the original purpose of the Wexner Foundation was to assist “emerging professional Jewish leaders in North America and mid-career public officials in Israel.” Per the website, Wexner’s main philanthropic endeavors were created after Wexner “reached the conclusion that what the Jewish people needed most at that moment was stronger leadership.” As a result, Wexner sought to focus his foundation’s attention chiefly on the “development of leaders.” As a consequence of this, Wexner’s programs have molded the minds and opinions of prominent North American, as well as Israeli, Jewish leaders who went on to work at the top levels of finance, government and, even, intelligence. # § Misinformation/Disinformation⠀➾ # ⚓ NBC ☛ Massive_verdict_against_Alex_Jones_isn’t_just vindication._It’s_a_warning.⠀⇛ Alex Jones, host and creator of the far-right conspiracy-theory website Infowars, has received what is likely to be only the first of a series of expensive lessons about the importance of fact-checking. # ⚓ Counter Punch ☛ How_Alex_Jones_Helped_Enrich_the Global_Elites_He_Railed_Against⠀⇛ For years, Jones fueled speculation that a horrific mass shooting resulting in the deaths of 20 children and 6 faculty at an elementary school in Newtown, Connecticut, on December 14, 2012, was an elaborate hoax, and that grieving parents were “crisis actors” paid to help curb gun rights. The latest lawsuit is one of several brought by parents of Sandy Hook victims. The hefty fines he now owes may very well put him out of business, especially considering his admission to the public and his viewers that the mass shooting—contrary to his repeated claims—was “100 percent real.” It is important to understand that Jones and his media empire, Infowars, have been a central node in the constellation of far- right institutions that eroded an already fragile American democracy, feeding irrational paranoias and subverting the facts that undergird our shared reality. Just as Jones unleashed conspiracies about fake shootings, he egged on millions of former President Donald Trump’s supporters into believing that the 2020 election was stolen. o § Censorship/Free Speech⠀➾ # ⚓ Media Nama ☛ Internet_Suspended_In_Kashmir_And_Manipur_To ‘Maintain_Law_And_Order’⠀⇛ o § Freedom of Information / Freedom of the Press⠀➾ # ⚓ NPR ☛ Republicans_have_long_feuded_with_the_mainstream media._Now_many_are_shutting_them_out⠀⇛ “You have one person from the campaign tweeting a photo from inside the room and talking about how great the view is that the journalists can’t see,” he said. “Spokespeople who are not answering my basic questions, like, ‘Is there a recording of this event?’ are taking the time to make fun of reporters for going there.” Indeed, Gov. Ron DeSantis’ spokeswoman Christina Pushaw taunted reporters on Twitter afterward. o § Civil Rights/Policing⠀➾ # ⚓ RNZ ☛ Head_in_the_clouds?_Call_for_NZ_to_take_control_of data_storage⠀⇛ Did you know the FBI could take a copy your data held in New Zealand if it got the legal OK in the US first, and you might never even know it? This, and a host of other reasons, are driving a Māori bid to up control over their own data by building cloud storage here. The cloud – it really just consists of someone else’s internet-enabled computers where you can put data, and get help to work on it from anywhere in the world you happen to be – has the quid pro quo that it most often means someone else has access to your data. # ⚓ CoryDoctorow ☛ Uber’s_still_not_profitable⠀⇛ The best analyst of Uber’s financial disclosures – as always – is Hubert Horan, a transport analyst who has made a second career out of debullshitifying Uber’s balance-sheet deceptions, proving that the company is a bezzle (“the magic interval when a confidence trickster knows he has the money he has appropriated but the victim does not yet understand that he has lost it”). # ⚓ NPR ☛ Indiana_is_installing_more_baby_boxes,_where_newborns can_be_anonymously_surrendered⠀⇛ SHERIDAN: The idea of a box where a baby could be safely and anonymously surrendered is centuries old. Kelsey opened the first U.S. box in the small town of Woodburn, Ind., in 2016. Now there are 113 boxes across the country, 86 of them in Indiana. Today’s boxes are temperature controlled, alarm activated, safety incubators installed in the side of firehouses or hospitals. # ⚓ NPR ☛ After_a_police_officer_sent_a_racist_text,_a_town disbanded_the_entire_department⠀⇛ During the council meeting, Latimore announced he had suspended the chief and assistant chief, and the council voted to end the agency. Latimer said Carden turned in his resignation via text message just hours after the city council voted to dissolve the department. # ⚓ Mexico News Daily ☛ Young_girls_jailed_after_attempting_to flee_forced_weddings_in_Guerrero⠀⇛ Two 14-year-old girls were imprisoned for over 24 hours earlier this week after they attempted to flee their hometown in Guerrero to avoid impending forced marriages. # ⚓ Common Dreams ☛ Opinion_|_The_Danger_of_Empathy⠀⇛ The Desert Fathers of the 3rd and 4th centuries CE lived alone in their caves and hovels in the Egyptian wilderness and began to have visions. Gustave Flaubert’s The Temptation of St. Anthony gives a literary artist’s portrait of why it isn’t good to be alone and shut off from the world. We need other human beings to keep us human and, more to the point, to keep us sane.   # ⚓ Common Dreams ☛ Opinion_|_Public_Misconceptions_about_Legal Immigration_Undermine_Reform⠀⇛ The American public overwhelmingly supports legal immigration, with deep divisions on whether this path is “easy”. # ⚓ TruthOut ☛ Sterilization_Laws_Are_Still_on_the_Books_—_and Pose_New_Dangers_Post-“Roe”⠀⇛ o § Monopolies⠀➾ # ⚓ Tutao GmbH ☛ Microsoft_blocks_Tutanota_users_from_own service:_Tutanota_users_can’t_register_a_Microsoft_Teams account_and_Microsoft_won’t_change_this.⠀⇛ Currently, Microsoft is actively blocking Tutanota email addresses from registering a Microsoft Teams account. This severe anti-competitive practice forces our customers to register a second email address – possibly one from Microsoft themselves – to create a Teams account. # § Copyrights⠀➾ # ⚓ Torrent Freak ☛ Pirate_Sites_Using_Twitch_To_Stream TV_Shows_Face_Hollywood_Investigation⠀⇛ Pirate streaming sites have plenty of options when it comes to sourcing movies, TV shows, and live TV streams. But for some, however, cheaper is apparently better. Streaming portals offering channels from Disney, Paramount, Warner Bros. and HBO are using Twitch’s servers to save money, but it appears Hollywood has already launched an investigation and is hot on the trail. * § Gemini* and Gopher⠀➾ o § Personal⠀➾ # ⚓ Coronavirus_adventure,_day_2⠀⇛ I’m feeling worse than yesterday, but not by a lot. I skipped Liturgy today as I don’t want to give this to anyone else. I’m going to work remotely tomorrow, though if I feel worse and worse as the day goes on I’ll call it and go to bed. I don’t have a cough, I just feel really, really tired. I’ll write more later. # ⚓ SpellBinding:_YDELNTC_Wordo:_UNMAN⠀⇛ o § Technical⠀➾ # ⚓ Doom_(the_original_one)⠀⇛ @mforester@rollenspiel.social was writing about Heretic and other old first person shooter games, and I remembered that this laptop has Freedoom and some games installed. I remembered playing Doom on a 286 in Bangkok, somewhere around 1990. But that is clearly impossible. Wikipedia says Doom launched in 1993 and I must have been back in Switzerland by that time. So perhaps I was playing Doom on a later computer I bought as a 15 year old… Tempus fugit! Anyway, I hooked up the home office monitor to the laptop, attached a mouse, plugged in my headphones, and started playing. I love how the sound effects really do give you a hint as to what’s coming at just the exact right moment that you can turn around and you *know* what’s coming, or you learn what’s coming. I love those little touches like that corridor where you get a key card and then the lights go out. Those moments – in the first first Doom! # § Science⠀➾ # ⚓ Hackaday ☛ CT_Scans_Help_Reverse_Engineer_Mystery Module⠀⇛ The degree to which computed tomography has been a boon to medical science is hard to overstate. CT scans give doctors a look inside the body that gives far more information about the spatial relationship of structures than a plain X-ray can. And as it turns out, CT scans are pretty handy for reverse engineering mystery electronic modules, too. # § Internet/Gemini⠀➾ # ⚓ There_Really_Ought_To_Be_Only_One_Way_To_Access_It⠀⇛ This capsule is hosted by the (unsinkable) Molly Brown. For reasons I’ve never dug into, it’s available at both /~adiabatic/ and / users/adiabatic/. Once I noticed that it was available at two different locations, it started to bug me a bit. Finally, when I decided to fold one into the other, I had a bit of trouble figuring out which I should fold into the other. The / ~username/ convention seems much more, well, conventional, while /users/adiabatic/ is the one that’s linked to from the user directory. # ⚓ gemini-ipfs-gateway⠀⇛ I’ve been slowly working on a read-only Gemini IPFS gateway — or is it an IPFS Gemini gateway? I still don’t know… It’s a Gemini server you can use to access the IPFS network, like the Kubo’s HTTP gateway. There’s a similar project by hsanjuan (who is one of the IPFS devs I think), but for one I didn’t want to mess with Go, and for another it starts up a new lite IPFS node instead of using the local node — why not? It’s already running anyway. =============================================================================== * Gemini_(Primer) links can be opened using Gemini_software. It’s like the World Wide Web but a lot lighter. ䷩ 𝚕𝚒𝚗𝚎 4426 ╒═══════════════════ 𝐃𝐀𝐈𝐋𝐘 𝐋𝐈𝐍𝐊𝐒 ═════════════════════════════════════════════╕ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 08.08.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ Links_08/08/2022:_Rescuezilla_2.4_and_GUADEC_Notes⠀✐ Posted in News_Roundup at 4:29 am by Dr. Roy Schestowitz 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈ § Contents⠀➾ * GNU/Linux o Audiocasts/Shows o Applications o Instructionals/Technical o Desktop_Environments/WMs # GNOME_Desktop/GTK * Distributions_and_Operating_Systems o Reviews o Fedora_Family_/_IBM o Debian_Family o Canonical/Ubuntu_Family o Devices/Embedded o Mobile_Systems/Mobile_Applications * Free,_Libre,_and_Open_Source_Software o Content_Management_Systems_(CMS) o GNU_Projects o Programming/Development # Python * Leftovers o Security # Privacy/Surveillance o Internet_Policy/Net_Neutrality * Gemini*_and_Gopher o Technical # Science # Internet/Gemini # Programming * § GNU/Linux⠀➾ o ⚓ Linux On Mobile ☛ LINMOB.net_–_Weekly_GNU-like_Mobile_Linux Update_(31/2022):_Automated_Phone_Testing_for_postmarketOS_and various_little_updates⠀⇛ Blog posts about the progress of Nemo Mobile and Manjaro ARM and this and that. 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇;-)⦈ o ⚓ 9to5Linux ☛ 9to5Linux_Weekly_Roundup:_August_7th,_2022⠀⇛ This has been a really great week for Linux news and release despite being the season of summer holidays. Ubuntu 20.04 LTS users got a newer Linux kernel from Ubuntu 22.04 LTS, KDE Plasma desktop fans received a new update with lots of goodies, Slax Linux returned to its roots, and Peppermint OS now offers a Devuan-based flavor for software freedom lovers. On top of that, I show you how to install Linux kernel 5.19 on Ubuntu, upgrade your Linux Mint 20.3 installations to Linux Mint 21, and take a look at the upcoming Fedora Linux 37 release on Raspberry Pi 4. o ⚓ Linux Made Simple ☛ Linux_Weekly_Roundup_#194⠀⇛ Welcome to this week’s Linux weekly roundup. We had a solid week in the world of Linux releases with Q4OS 4.10, Robolinux 12.07, and Peppermint OS 08-02-2022. o § Audiocasts/Shows⠀➾ # ⚓ Video ☛ First_Look:_Linux_Mint_21_“Vanessa”_–_Invidious⠀⇛ I just upgraded to Linux Mint 21! Let’s take a look around. 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇:)⦈ For more about Linux Mint # ⚓ GNU World Order (Audio Show) ☛ GNU_World_Order_472⠀⇛ **kgpg** , **kguiaddons** , **khangman** , **khelpcenter** , **kholidays** , **khotkeys** , **khtml** , **ki18n** from Slackware set **kde**. # ⚓ Video ☛ Cage:_What_In_The_World_Is_A_Wayland_Kiosk??_– Invidious⠀⇛ Sway is where I think you should go to Wayland for day to day use but there are so many other compositors out there and one of them is Cage which calls it self a Wayland kiosk. # ⚓ Video ☛ How_to_install_PhpStorm_on_Pop!_OS_22.04_– Invidious⠀⇛ In this video, we are looking at how to install PhpStorm on Pop!_OS 22.04. # ⚓ First_Major_Shift_Patch_Released_–_MakuluLinux⠀⇛ We have just sent out the First Major Patch since the release of MakuluLinux Shift, This patch addresses a VERY annoying issue that I am sure many would be happy to see patched. Please see video for more details. # ⚓ Jupiter Broadcasting ☛ Let’s_Call_It_an_Upgrade_|_LINUX Unplugged_470⠀⇛ We present a buffet of budget Linux boxes. From $40 to $400 you’ll be surprised by what we found. Then we attempt to find the perfect distro for them. # ⚓ Going_Linux_#428_·_Listener_Feedback⠀⇛ Sean asks about licenses, David saves money on hardware using Linux, Carlos uses RAID1 and Bill plans a Linux-powered career switch # ⚓ Open Source Security (Audio Show) ☛ Episode_335_–_Bull*&$% security_ideas⠀⇛ Josh and Kurt talk about a tweet from @kmcquade3 asking the question “What’s a concept in security that is generally accepted as true but is actually bull%$#*?” How many of the replies make sense? Most of them do. We go over some of the best replies as fast as we can. o § Applications⠀➾ # ⚓ Its FOSS ☛ Sunamu:_Display_Lyrics_for_Currently_Playing Music_on_the_Desktop_in_Linux_–_It’s_FOSS⠀⇛ Being an eye candy music widget (or controller). That’s the only focus of Sunamu, and it does its job pretty well. Sunamu is an intriguing tool. It is not a music player but lets you display the music you’re playing and control it. I’m not a fan of having a floating widget on my primary workspace, but Sunamu’s minimal yet elegant approach changed my mind! So, I will walk you through its features, installation, configuration tweaks, and my experience with it. # ⚓ Medevel ☛ NormCap:_Extract_Any_Text_from_Your_Screen⠀⇛ o § Instructionals/Technical⠀➾ # ⚓ Linux Shell Tips ☛ How_to_Encrypt_and_Decrypt_a_Partition in_Linux⠀⇛ When a Linux partition is encrypted, access to the partition’s stored data and storage space is inapplicable to users who do not have the right access/authorization. The same Linux partition can only be termed as decrypted if direct access to it is authorized. The authorization/decryption phase requires the user accessing the locked partition to provide a matching encryption key used to lock access to it. # ⚓ Linuxiac ☛ How_to_Install_Spotify_on_Fedora_Linux:_A_Step- by-Step_Guide⠀⇛ This guide will walk you through installing Spotify on Fedora Linux, offering you three different ways to do it by following best practices. Spotify is a well-known cross-platform music streaming service that millions of people use. It is compatible with most modern systems, including Linux, Windows, and macOS, as well as Android and iOS devices. The application’s free edition offers limited audio streaming features with advertising. However, the premium service includes various benefits, such as downloading music, ad-free browsing, improved sound quality, and more. Unfortunately, Spotify is not available in the official Fedora Linux repositories. However, there is an easy way for Fedora users to install Spotify on their Linux systems. # ⚓ Trend Oceans ☛ How_to_Kill_an_Unresponsive_SSH_Connection in_Linux_–_TREND_OCEANS⠀⇛ While working with a remote connection, it’s quite common to get into a situation where you are not able to interact with the remote system. And it is a frustrating moment when a remote SSH connection hangs after several minutes of unused connection, or perhaps even due to internet fluctuations. There might be many other reasons for the above cause, but it’s quite easy to kill an unresponsive SSH connection without killing the current shell. # ⚓ OpenSource.com ☛ Fix_file_permission_errors_on_Linux_| Opensource.com⠀⇛ If you’re sharing files between two users over the network or “sneaker net” (saving a file to a hard drive and copying it to a computer), you may encounter permission errors when you try to read or write the file. Even if you understand the concept of file permissions, you may not know exactly how to diagnose the problem or solve it. I used to perform data migration as a service, so I’ve run into my fair share of permission errors and ownership conflicts. Here’s how I fix them fast. # ⚓ Linux Shell Tips ☛ How_to_Install_Apache_Tomcat_10_in_RHEL 8⠀⇛ Thanks to the Apache Foundation for the development and maintenance of Apache Tomcat, RHEL 8 users can now proudly boast of having access to an open- source, powerful, lightweight, and popular web server. Apache Tomcat prioritizes the execution of java web-based applications through a pure Java HTTP server interface implemented by Java WebSocket, JavaServer Pages (JSP), Java Expression Language (EL), and Java Servlet technologies. This article will walk us through the installation and configuration of Apache Tomcat 10 on RHEL 8 distribution. # ⚓ ID Root ☛ How_To_Install_Brave_Browser_on_Linux_Mint_21_– idroot⠀⇛ In this tutorial, we will show you how to install Brave Browser on Linux Mint 21. For those of you who didn’t know, Brave is a free, open-source web browser developed by Brave Software, Inc. It is a secure and fast web browser whose base code is very much similar to the Chromium browser. Brave is designed to block ads and website trackers by default and guarantee privacy. This article assumes you have at least basic knowledge of Linux, know how to use the shell, and most importantly, you host your site on your own VPS. The installation is quite simple and assumes you are running in the root account, if not you may need to add ‘sudo‘ to the commands to get root privileges. I will show you the step-by-step installation of a Brave Browser on Linux Mint 21 (Vanessa). # ⚓ Linux Made Simple ☛ How_to_stream_Windows_on_a_Chromebook⠀⇛ Today we are looking at two ways to Stream a Windows computer on a Chromebook. Please take note that both methods are paid, as the company need to pay for the actual hardware and licenses. # ⚓ HowTo Geek ☛ How_to_Restart_a_Computer⠀⇛ Whether you want to bring new changes into effect or resolve minor glitches, it’s easy to restart your computer based on Windows, macOS, Linux, or Chrome OS operating system. We’ll show you how to do that. # ⚓ Linux Hint ☛ How_to_Control_Raspberry_Pi_Through_PiBuddy⠀⇛ PiBuddy is an open-source Android application for Raspberry Pi to control the device from mobile. Apart from giving you the authority to control your Raspberry Pi, you can also view system information like CPU resources, disk usage, and memory information, as well as the freedom to turn on and off your device at any time. Thus, it saves your device from improper shutdown. In this article, we will guide you on how you can use the PiBuddy application on your mobile to control your Raspberry Pi device. # ⚓ Linux Hint ☛ How_to_Install_Odoo_on_Raspberry_Pi_OS⠀⇛ Odoo is an open-source business management tool designed to meet the company requirements, as it includes various business tools such as CRM, eCommerce, project management, accounting, and much more. Odoo operates under relational database management systems like PostgreSQL, and it works smoothly on several Linux-based platforms like Ubuntu and Raspberry Pi. In this article, we will show you how to install Odoo on your Raspberry Pi. # ⚓ Linux Hint ☛ How_to_Install_uget_Download_Manager_on Raspberry_Pi⠀⇛ uget is a fast and lightweight download manager that quickly downloads files on your Raspberry Pi device. It even gives you the option to download multiple files all at once and if you need to download files at a quick pace, you can queue them for faster downloading. # ⚓ Linux Hint ☛ How_to_Control_a_Raspberry_Pi_Remotely_From Anywhere_In_the_World⠀⇛ Controlling a Raspberry Pi from another system through a VNC viewer is extremely important as it helps you easily control your Raspberry Pi device through your laptop without purchasing a separate desktop environment. In another case, you can also benefit other individuals by using your device to complete their projects. However, the default VNC viewer setting allows you to access the device within the same network as it becomes extremely tough for the users outside your network to access it. If you are looking for a solution to remotely access your Raspberry Pi device outside the network or in any part of the world, you should look for these article guidelines. # ⚓ Linux Hint ☛ Enabling_SSH_Protocol_in_Linux⠀⇛ Installing and configuring SSH in your Linux systems is not the end game. Using SSH to access your systems remotely goes beyond that. You will need to ensure that you enable your SSH to establish a connection. But this is impossible to accomplish if you do not understand how SSH works. Notably, you need a client machine and a host or server to initiate and accomplish an SSH connection. Both sides must agree based on the provided credentials to enable a secure connection and access between the two sides. In this article, we will outline how you can enable an SSH connection in Linux systems. But before that, it is vital to note that the client machine needs the remote host credentials or information to initiate the connection. This information could be an IP address or hostname. # ⚓ Linux Hint ☛ 3_Easy_Ways_to_Install_and_Use_Discord_on Raspberry_Pi⠀⇛ Discord is one of the most popular messaging apps that enable users to connect with the community worldwide. It allows you to do text messaging, voice messaging, video calling and media sharing with your friends and people all over the globe. Even there are hundreds of groups you can join on Discord to discuss several important topics. Since Discord is an open-source platform, you can install it easily on any Linux platform; however, on Raspberry Pi, you cannot directly install this app because it’s not available for ARM-based architecture. To install Discord on Raspberry Pi, you should follow this article, as we will show you the easiest ways to install the app on your device. # ⚓ UNIX Cop ☛ How_to_install_Owncloud_Desktop_client_on_Debian /_Ubuntu⠀⇛ In this tutorial, you will learn how to install Owncloud Desktop client on Debian / Ubuntu. This step is important to get the most out of the tool. In a recent post I have explained you how to install Owncloud on Ubuntu 22.04 It is a good idea to start with that post. o § Desktop Environments/WMs⠀➾ # § GNOME Desktop/GTK⠀➾ # ⚓ GUADEC_Notes_–_Jonathan_Blandford⠀⇛ It was really lovely to get back to GUADEC. I loved being around old friends and meeting the new faces within the project. The venue was stellar and I thoroughly enjoyed a lot of the talks this year. For me, my favorite talks were the progressive webapps talk by Phaedrus Leeds, Federico’s meme-filled talk on accessibility, and Rob’s talk about the Endless deployment to Oaxaca, Mexico. [Note: I hope someone goes back to the youtube videos and adds timestamps / links to all the talks. It would be easier to find and browse them. ] On my part, I gave a talk on GNOME Crosswords and participated on a panel on how to get a Job with Free Software. The crosswords talk in particular seemed pretty successful. It had a great article written about it in lwn.net (thanks Jake!), which lead to an increase in bug reports and crossword contributions. One observation: it felt that attendance was down this year. I don’t know if it was Covid or Mexico, but some combination led to a smaller crowd than usual. I saw that there was a mini-GUADEC in Berlin as well (which I’ll assume was a lagging indicator of the above and not a cause.) * § Distributions and Operating Systems⠀➾ o ⚓ Barry Kauler ☛ Package_bumps_and_extra_b43_firmware⠀⇛ Getting ready to build the next 64-bit release of EasyOS, have been working on a few things and not documenting. So, had better report some of it… o § Reviews⠀➾ # ⚓ Distro Watch ☛ Review:_Linux_Mint_21⠀⇛ Linux Mint is one of the better known, beginner- friendly Linux distributions. The project’s main branch is based on Ubuntu’s long-term support (LTS) releases with an alternative branch based on Debian. The project’s main branch is further split into three editions: Cinnamon, MATE, and Xfce. The latest version of Mint features a handful of key features. This long-term support release will be maintained through to 2027. It includes a new rebase of the Muffin window manager to import improvements from the upstream Mutter window manager. It also includes a switch from the Blueberry Bluetooth software to Blueman for better cross-desktop support. This release also includes a process monitor which will let us know when automated tasks are running in the background and may impact system performance. A few other improvements and cosmetic changes are mentioned in the project’s What’s New document. I downloaded the Cinnamon edition of Linux Mint 21 which is approximately 2.8GB in size. Booting from this media brings up a menu asking if we want to launch the live desktop, launch the desktop in compatibility mode (in case of video card issues), or launch the OEM installer. Taking the default quickly launched the Cinnamon desktop. On the desktop we find icons for launching the file manager and system installer. At the bottom of the display is a panel where we can find the application menu, task switcher, and system tray. The system was responsive and my hardware worked fairly well out of the box so I dived into installing the distribution. o § Fedora Family / IBM⠀➾ # ⚓ Power10_Entry_Machines:_The_Power_S1024_And_Power_L1024 [Ed: Missing disclosure: IBM pays for all of these puff pieces]⠀⇛ # ⚓ Thoroughly_Modern:_Latest_IT_Trends_–_Bring_Security, Speed,_And_Consistency_To_IT_With_Automation⠀⇛ # ⚓ Big_Blue_Unveils_New_Scalable_VTL_For_IBM_i⠀⇛ # ⚓ IBM_i_PTF_Guide,_Volume_24,_Number_32⠀⇛ # ⚓ As_I_See_It:_Thank_God_It’s_Thursday⠀⇛ o § Debian Family⠀➾ # ⚓ Dirk Eddelbuettel ☛ Dirk_Eddelbuettel:_RcppCCTZ_0.2.11_on CRAN:_Updates⠀⇛ A new release 0.2.11 of RcppCCTZ is now on CRAN. RcppCCTZ uses Rcpp to bring CCTZ to R. CCTZ is a C++ library for translating between absolute and civil times using the rules of a time zone. In fact, it is two libraries. One for dealing with civil time: human-readable dates and times, and one for converting between between absolute and civil times via time zones. And while CCTZ is made by Google(rs), it is not an official Google product. The RcppCCTZ page has a few usage examples and details. This package was the first CRAN package to use CCTZ; by now four others packages include its sources too. Not ideal, but beyond our control. # ⚓ Aurélien_Jarno_–_GNU_libc_2.34_in_unstable⠀⇛ The GNU libc version 2.34 has just been accepted into unstable. Getting it ready has been more challenging than other versions, as this version integrates a few libraries (libpthread, libdl, libutil, libanl) into libc. o § Canonical/Ubuntu Family⠀➾ # ⚓ 9to5Linux ☛ Rescuezilla_2.4_Swiss_Army_Knife_of_System Recovery_Arrives_Based_on_Ubuntu_22.04_LTS⠀⇛  Rescuezilla 2.4 is here more than seven months after Rescuezilla 2.3 and it has a brand-new base derived from the Ubuntu 22.04 LTS (Jammy Jellyfish) operating system series to provide users with the best possible hardware support. The previous release was based on Ubuntu 21.10 (Impish Indri), which reached end of life in July 2022. Apart from being based on Ubuntu 22.04 LTS, Rescuezilla 2.4 also comes with several new features, including the ability to compress images using the bzip2 algorithm and the ability to set a custom SSH port. o § Devices/Embedded⠀➾ # ⚓ CNX Software ☛ Orange_Pi_4_SBC_gets_10.1-inch_LCD touchscreen_–_CNX_Software⠀⇛ Shenzhen Xunlong Software has released a 10.1-inch LCD touchscreen for the company’s Orange Pi 4 single board computer powered by a Rockchip RK3399 hexa-core Cortex-A72/A53 processor. The MIPI DSI display is based on Ilitek ILI9881c panel controller supported in mainline Linux, offers 1280×800 resolution, and besides working with the original Orange Pi 4, it’s also compatible with Orange Pi 4B (with AI accelerator) and the more recent Orange Pi 4 LTS SBC launched earlier this year. o § Mobile Systems/Mobile Applications⠀➾ # ⚓ The Sun ☛ Android_warning_for_all_users_over_‘battery killer’_mistakes_that_quickly_drain_your_phone⠀⇛ # ⚓ Gadgets Now ☛ Android_users_delete_these_apps,_they_steal Facebook_and_banking_passwords_|_Gadgets_Now⠀⇛ # ⚓ Android Police ☛ Weekend_poll:_What_materials_do_you_want your_next_Android_phone_to_be_made_from?⠀⇛ # ⚓ 9to5Google ☛ Pixel_Launcher_adds_Play_Store_search_on Android_13_–_9to5Google⠀⇛ # ⚓ Gizmo China ☛ OnePlus_Nord_CE_2_gets_OxygenOS_12_updated based_on_Android_12⠀⇛ # ⚓ Samsung_Galaxy_Tab_A7_Lite_Gets_Android_12_–_Phandroid⠀⇛ # ⚓ Android_Volume_Keeps_Going_Down?_(Do_this_First!)_– Gotechtor⠀⇛ # ⚓ Android Headlines ☛ Top_Tips_For_Trading_Bitcoin_On_Your Android_Device⠀⇛ # ⚓ Geeky Gadgets ☛ LG_Ultra_Tab_Android_tablet_gets_official_– Geeky_Gadgets⠀⇛ # ⚓ LG_Launches_New_Android_Tablet_in_South_Korea_–_Phandroid⠀⇛ * § Free, Libre, and Open Source Software⠀➾ o § Content Management Systems (CMS)⠀➾ # ⚓ Linux Links ☛ 5_Best_Free_and_Open_Source_Dart_Static_Site Generators_–_LinuxLinks⠀⇛ LinuxLinks, like most modern websites, is dynamic in that content is stored in a database and converted into presentation-ready HTML when readers access the site. While we employ built-in server caching which creates static versions of the site, we don’t generate a full, static HTML website based on raw data and a set of templates. However, sometimes a full, static HTML website is desirable. Because HTML pages are all prebuilt, they load extremely quickly in web browsers. There are lots of other advantages of running a full, static HTML website. o § GNU Projects⠀➾ # ⚓ Medevel ☛ GNU_PSPP_Is_a_Free_Open-source_Statistical Package_and_SPSS_Alternative⠀⇛ GNU PSPP is a program for the statistical analysis of sampled data. It is a Free replacement for the proprietary program SPSS, and appears very similar to it with a few exceptions. The most important of these exceptions are, that there are no “time bombs”; your copy of PSPP will not “expire” or deliberately stop working in the future. Neither are there any artificial limits on the number of cases or variables which you can use. There are no additional packages to purchase in order to get “advanced” functions; all functionality that PSPP currently supports is in the core package. PSPP is a stable and reliable application. It can perform descriptive statistics, T-tests, anova, linear and logistic regression, measures of association, cluster analysis, reliability and factor analysis, non-parametric tests and more. o § Programming/Development⠀➾ # § Python⠀➾ # ⚓ markaicode by Mark ☛ How_to_Install_Plotly_Dash_in Python⠀⇛ In this guide, we’ll show you how to install Plotly Dash on your Linux system. You must have Python installed on your system Dash. # ⚓ markaicode by Mark ☛ How_to_use_Python_to_Calculate Percentage⠀⇛ In this guide, We will learn how to use the Python IDLE shell to figure out percentages. You can use any IDE you want because the logic doesn’t change. # ⚓ Linux Hint ☛ Python_requirements.txt_File⠀⇛ “We need to employ a lot of modules while creating Python apps for various functionalities. The number of modules a given application uses can be considerable. Generally, it is advised to create a virtual environment tailored to the project when developing such massive programs, as well as smaller ones, because doing so enables us to install anything we want and of any version without overburdening the available package space. The script and dependencies must be installed on the user’s computers for them to utilize the developer. Because the dependencies are set up in a virtual environment, it would be useless to share the entire virtual environment because the folder size would be enormous, and there would be a risk of integrity problems. When this occurs, programmers include a requirements.txt file in the project that contains a list of all the dependencies that have been installed in the virtual environment as well as information on the version that is being utilized. To utilize the program, the borrower or end-user merely needs to set up a virtual environment and install any necessary components. This post will explain how to create the requirements.txt file and install dependencies using it.” # ⚓ Linux Hint ☛ Python_Argparse_Examples⠀⇛ “The interpretation of command line arguments has been made by the use of the Python module argparse. By providing user input elements to be processed, argparse would be used to give customization and reuse of the program in place of explicitly specifying variables within the function.” # ⚓ Linux Hint ☛ Plotly.graph_objects.choroplethmapbox⠀⇛ According to the aggregated statistics, a choropleth map is a statistical map comprised of colored polygons. It is mainly applied in geographical areas, such as countries, states, counties, and postal codes. When working with statistical analysis, you often encounter scenarios where you must plot a choropleth map. Therefore, this article will discuss how you can create a choropleth Mapbox using Plotly’s graph_objects. # ⚓ Linux Hint ☛ Dplotly.graph_objects.choropleth⠀⇛ A choropleth map, or Choropleth for short, is a map made up of colored polygons that describe data. This tutorial will cover how to create a choropleth map using go.Choropleth. * § Leftovers⠀➾ o § Security⠀➾ # § Privacy/Surveillance⠀➾ # ⚓ CNX Software ☛ ESP-WIFI-CSI_detects_humans_with_WiFi signals_only,_no_sensor_needed_–_CNX_Software⠀⇛ Channel state information (CSI) leverages carrier signal strength, amplitude, phase, and signal delay indicators to reveal the signal scattering, reflection, and power attenuation phenomena that occur with the carrier as the transmission distance changes. This is typically used to measure the channel status of the wireless network in Wi-Fi communication, but it’s also possible to analyze and study the changes in CSI to detect movements such as walking and running of people or animals, and Espressif claims it can also capture subtle movements caused by small movements such as breathing and chewing of people or animals in a static environment. o § Internet Policy/Net Neutrality⠀➾ # ⚓ Diziet ☛ diziet_|_dkim-rotate_–_rotation_and_revocation_of DKIM_signing_keys⠀⇛ Internet email is becoming more reliant on DKIM, a scheme for having mail servers cryptographically sign emails. The Big Email providers have started silently spambinning messages that lack either DKIM signatures, or SPF. DKIM is arguably less broken than SPF, so I wanted to deploy it. But it has a problem: if done in a naive way, it makes all your emails non-repudiable, forever. This is not really a desirable property – at least, not desirable for you, although it can be nice for someone who (for example) gets hold of leaked messages obtained by hacking mailboxes. This problem was described at some length in Matthew Green’s article Ok Google: please publish your DKIM secret keys. Following links from that article does get you to a short script to achieve key rotation but it had a number of problems, and wasn’t useable in my context. * § Gemini* and Gopher⠀➾ o § Technical⠀➾ # ⚓ Zettelkasten_Utility⠀⇛ Schmiddi recently wrote about their experience with keeping a zettelkasten and evaluates how useful it has been to them so far. Recently, I have been adding and editing dozens of zettels to my kasten daily as I digest a massive amount of in-depth reading for a class I am teaching next semester. During this process I have been thinking a lot about how much I appreciate this method, so I thought I would share my two cents about the potential utility of a zettelkasten and how to get the most out of it. # ⚓ Raketo_vol._1⠀⇛ (I spent a lot of time looking for Gemini Program pics specifically because of Gem Space. Gem Space has a lot of zine/DIY energy that I love) # ⚓ didn’t_your_mother_ever_tell_you_not_to_talk_to_strange bloggers?⠀⇛ I just got done cold e-mailing some people. Bloggers. Mostly from blogroll.org. Because I want to pick their brain and see what makes them “tick”, write, do stuff, in general. Some can be responsive, some prefer not to be bothered – and so it goes M.p is a jam, though, because people here are fairly cool, nice (don’t enforce the karmic forces on me, Murphy’s Law!). I like it here. So, now, I think of how I am resetting. Resetting in life, really. It’s been four months since I spoke to some toxic people in my life, and I continue to de-rut myself from that noxious mindset. # § Science⠀➾ # ⚓ A_whole_post_about_pee.⠀⇛ It turns out the process of making nitrogen rich mulch for use in gardening is very simple, and has been done for a very long time. All you need is pee, wood chips or biomatter, and wood ashes. There is a mechanism built into creation that governs decomposition of living matter. It has to do with the balance between carbon, and nitrogen. If you have even seen a compost pile steaming, what you are seeing is the carbon, nitrogen, moisture, and biomatter ratios reach the right balance to start creating heat to accelerate the breakdown of the materials. These temperatures can actually reach 140 degrees F. In fact, people have done experiments with heating water using compost piles. # § Internet/Gemini⠀➾ # ⚓ Receiving_emails_about_your_capsule⠀⇛ After I launched the new version of my capsule last Saturday, I received two emails! One person was responding to a question I put forth in a gemlog entry, and another person just said they liked the format. Knowing that people read what you are writing is a nice feeling. Both of the emails were just a few sentences and a signature. I’m used to thinking about email as a medium for multi-paragraph communications, with an introduction, a body, and a conclusion… I myself have only emailed people about content on their capsules a few times, but I definitely felt the pressure to make it a “proper” email. Maybe seeing these examples will help me email more informally. 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇:-)⦈ # ⚓ Announcing_Offpunk_0.1_and_a_year_offline⠀⇛ Offpunk, previously known as AV-98-offline, is a new command line based and offline-first Gemini client. Its primary goal is to be able to browse the Gemini space while being entirely offline. Synchronisation is done non-interactively. # § Programming⠀➾ # ⚓ Thoughts_on_separate_compilation_(part_1)⠀⇛ C programming language has concept of separate compilation which means that it is possible to have program source in multiple files, compile them separately and than link them together into final executable file. This way each individual source file have manageable size and only files changed need to be recompiled. But it comes at price of losing opportunities for code size and performance optimizations. =============================================================================== * Gemini_(Primer) links can be opened using Gemini_software. It’s like the World Wide Web but a lot lighter. ╘══════════════════════════════════════════════════════════════════════════════╛ ¶ Lines in total: 5521 ➮ Generation completed at 02:41, i.e. 81 seconds to (re)generate ⟲