𝕿𝖊𝖈𝖍𝖗𝖎𝖌𝖍𝖙𝖘 Bulletin for Sunday, October 17, 2021 ┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅ Generated Mon 18 Oct 02:40:33 BST 2021 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/2021/10/17/ ╒═══════════════════ 𝐑𝐄𝐂𝐄𝐍𝐓 𝐁𝐔𝐋𝐋𝐄𝐓𝐈𝐍𝐒 ════════════════════════════════════╕ Previous bulletins in IPFS (past 21 days, in chronological order): QmSoYJzJX4ejm4LRdPXhN6F7YBjLvbCRnrxdhaDSj8iaNC QmbpQyjzfhZNaWnZ1L6GHyRzDA6B5RojnHgAGKGeJKMiyn QmZjNRnDnEWPhNuhKXBvuyovU32qnjESR1UG1T8emS6oy2 QmSjHyfej3iKcBfRyB2EGPkqcfwQ3z51X2Qz89CbQ1D5GX QmRXKRPosZ7Bz2MggcSzikrb6U91AxeDNghC3nQk4eD4fh QmXTYTLpzWBYZ5xwWzbbZJAw6K15tUSpUQPiKiZLEsKUUq QmUeuLZQ99vnV24pVDJ9uvHk32tda8NgQW3EpyMCrA9AuB QmZmZwDEJRgqxWPLUg1yQVpFv4YB6HxbHmBdDJg9X68QK2 QmeLhW4oLVWzxpCUCDkA1dFjjenb5EnMwdtSi35sDbQZgd QmajCNJF85CQYXyosFsER5Yo2XiPM6BUZkHYzeqXkCfiv3 QmScBUgZwyXW8e6VTQ7hn4TPr2dPrqRq4mBq4A6SJD33QU QmNq798z2Jmsd7aRXgNnfjRvXzECKPp7piDVUnWvgsGMmw QmRVquEDfjUxjZohz6NpGuYae1hJY5sYhcGTzygC15t1qe QmS8QHtXh2RotXbWpZsvGPyWGq3WgJPQrsFc5JaTmqKcxD QmYzF6VmHg31fxPQwnB9o6yJM36EqoqsYXvNMqVE941LM6 QmXCdRHxnSMKmGrnRzrnSPCDWQmdjzEejArfYqZsaBy35Z Qmf9EcBFemckbJcR5iWC3PVGJxQ5xe3ZqCGKzz681rKMmD QmdjD3F5X1T9xbTPMY2Wrk5YUS8tfKUD5inGbqQ8rnJrpo QmSJxiMQEysAS6b1cT6LbxyB2gmL92RHnKe2bugqURX7jK QmZ9XrCCvCG4m4kD1sxmesDGxEpk9EjEVk5vNUFHZ87Ryw QmZQbFL87wWvs9kFDSndgbof4kDmQTqYdyokNAjNg8H7Ca ╒═══════════════════ 𝐈𝐍𝐃𝐄𝐗 ═══════════════════════════════════════════════════╕ ⦿ [Meme] Friedrich Rödler’s Increasingly Incomprehensible Debt Quagmire, Years Before EPO Money Was Trafficked Into the Stock Market | Techrights ⦿ [Meme] First Illegally Banning Strikes, Then Illegally Taking Over Courts | Techrights ⦿ IRC Proceedings: Saturday, October 16, 2021 | Techrights ⦿ Portuguese Network of Enablers | Techrights ⦿ Austria’s Right-Wing Politicians Displaying Their Arrogance to EPO Examiners | Techrights ⦿ The EPO’s Overseer/Overseen Collusion — Part XV: Et Tu Felix Austria… | Techrights ䷼ Bulletin articles (as HTML) to comment on (requires login): http://techrights.org/2021/10/17/friedrich-rodler-quagmire-memes/#comments http://techrights.org/2021/10/17/illegally-banning-strikes/#comments http://techrights.org/2021/10/17/irc-log-161021/#comments http://techrights.org/2021/10/17/portuguese-epo-enablers/#comments http://techrights.org/2021/10/17/rude-liar-epo/#comments http://techrights.org/2021/10/17/the-corruption-of-friedrich-rodler/#comments ䷞ Followed by Daily Links (assorted news picks curated and categorised): http://techrights.org/2021/10/17/blender-2-93-5/#comments http://techrights.org/2021/10/17/mattermost-6-0/#comments ䷩ 𝚕𝚒𝚗𝚎 63 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at http://techrights.org/2021/10/17/friedrich-rodler-quagmire-memes/#comments Gemini version at gemini://gemini.techrights.org/2021/10/17/friedrich-rodler-quagmire-memes/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 10.17.21⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ [Meme]_Friedrich_Rödler’s_Increasingly_Incomprehensible_Debt_Quagmire,_Years Before_EPO_Money_Was_Trafficked_Into_the_Stock_Market⠀✐ Posted in Europe, Patents at 3:31 pm by Dr. Roy Schestowitz Just published (for context): The_EPO’s_Overseer/Overseen_Collusion_—_Part_XV: Et_Tu_Felix_Austria… 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Vote_for_Battistelli,_see_billions_of_EPO_Euros_smuggled_to EPOTIF⦈_ 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Austrian_government:_Rödler_a_shareholder?⦈_ Summary: As it turns out, numerous members of the Administrative Council of the EPO are abundantly corrupt and greedy; They falsely claim or selfishly pretend there’s a financial crisis and then moan about a_"gap"_that_does_not_exist (unless one counts the_illegal_gambling, notably EPOTIF, which they approved), in turn recruiting_or_resorting_to_scabs that help improve ‘profit margins’ http://techrights.org/videos/campinos-gap.webm Video_download_link | md5sum daa6c4b14f45f1292dcf04348028c109 ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⠿⢿⡿⠿⠿⠿⠿⠿⡿⢻⣿⠛⣿⡛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⠿⢿⠿⠻⢿⠛⠛⠛⠛⠛⢻⣿⠛⠛⡟⠋⠉⢻⠉⢉⠙⣿⡏⠉⡉⢹⡇⠀⠸⣤⠀⢠⣤⠀⢠⡇⠀⡁⠰⢤⣷⠀⢰⡆⠀⠶⡇⢸⣿⠀⢿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⠀⡆⠀⡇⢸⡆⠀⣿⠀⠘⢻⣿⠀⠘⡇⠀⡄⢸⠀⢈⠀⣿⣇⠀⡅⠘⠇⠸⠀⣿⠀⢸⣿⠀⢸⡇⠀⡟⢢⠀⢹⡇⢸⣷⠀⠶⡇⠀⢿⠀⠘⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣇⠀⠇⢀⣷⠀⢿⡀⠘⢻⣿⠀⢸⣧⡀⠃⣸⣀⣸⣀⣿⣿⣀⣁⣠⣀⣰⣠⣼⣤⣼⣿⣤⣼⣧⣤⣷⣤⣴⣾⣷⣶⣿⣶⣶⣷⣶⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣶⣶⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⡿⣿⣿⢿⡿⢿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣃⣀⡀⢀⣼⣿⣿⣿⣿⣿⣶⣮⡀⠀⠀⠀⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠴⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⡆⠠⡢⢤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢚⢾⡿⣿⡟⢿⡿⠿⣿⠿⣿⡿⣿⢿⣿⣿⣿⣿⡟⣿⣿⣻⣿⣿⣿⣿⡟⣿⣿⣿⣿⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡇⠠⡈⠻⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢿⠇⣷⡍⣿⢹⡇⣷⣾⢰⣷⢸⡇⣥⣽⢸⢰⣦⡇⣶⢹⡸⣅⠺⠃⣦⡇⣡⢹⠁⣹⣾⣭⣟⣁⣀⣙⡫⣯⡀⠤⠤⣾⣿⠿⠛⠁⠰⣜⢷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣾⣿⣷⣿⣶⣾⣿⣿⣾⣿⣶⣿⣾⣷⣮⣷⣿⣾⣷⣯⣥⣷⣭⣵⣼⣬⣦⣽⣿⣿⣿⣿⣿⣿⣿⣷⣿⣶⣶⣜⣏⣴⡾⣉⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣛⣟⢿⣻⡻⣏⢛⡟⡛⢿⠛⡻⣟⢙⡿⡻⢿⠿⠿⠿⣿⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣿⠻⣿⣿⣿⣿⣿⣿⣱⠿⣶⠶⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡏⡿⣸⡹⡆⣿⠸⣇⠶⢿⢸⡇⣿⠸⡟⠭⢸⡴⡇⣿⢸⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⣾⣿⣿⣿⣿⣏⡟⢰⣿⣆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⣿⣿⣿⣶⡶⠶⣾⡽⣿⣿⡿⣾⣶⣤⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠯⠙⢿⣿⣿⣿⣿⡷⠻⠋⠘⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⢿⠛⠛⡟⠿⠿⣿⡿⠿⠿⣿⠿⢿⠿⢿⣿⣯⣿⣦⣀⣍⣉⠁⠁⣀⠐⣄⣰⣞⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠈⠲⣾⠀⠐⡇⠀⠶⣿⡇⠀⠀⣸⠀⢸⠀⣸⡇⢰⡏⠀⡏⠀⡄⢱⠀⠸⠈⡟⠉⠉⢹⣿⠋⢉⠙⡟⠛⠛⣿⡟⠛⢻⠛⠛⠻⡿⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠸⠀⣸⠀⠻⡇⠀⠾⣿⡇⠰⠀⢸⠀⡸⠀⣿⠁⢸⡇⠀⡇⠀⡇⢸⠀⡀⠀⡷⠄⠈⢻⣿⠀⢸⠀⡇⠀⢛⣿⡇⠀⢻⠀⠘⠀⡇⢸⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠛⠛⠻⠿⡿⠿⡿⠿⠿⣿⡿⠿⣿⣿⠷⣶⣷⣶⣶⣿⣶⣶⣶⣾⣦⣧⣤⣤⣤⣤⣤⣤⣧⣄⣠⣼⣀⣧⣀⣧⣈⣀⣼⣿⣄⠈⣀⡇⠀⣿⣿⠃⠘⢻⠀⢸⣿⡀⠸⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠀⠐⡇⠀⡇⢰⠀⠰⠀⡏⠀⡆⠈⠁⠰⣀⣿⡏⠀⣄⣸⠀⠀⡇⠈⡉⠉⡏⢩⠏⢉⠉⢿⠋⡉⠻⡟⠛⣿⠛⠛⡟⠛⠻⢿⣿⠿⠿⠿⡿⠿⠿⣿⣿⠿⢿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠀⠸⡇⠀⠇⢸⠀⢰⠀⡇⠀⡇⢰⠓⢀⠈⣿⡟⠢⡀⢹⠀⡄⢀⠀⡇⠀⡇⢸⠀⢘⠒⠚⠀⡗⠒⡇⢠⣿⠀⠛⡇⠀⠇⢸⣿⡶⠀⣶⠁⢰⠀⢹⣿⠀⠠⡇⠀⡄⢸⠀⡄⠈⣤⠀⢀⡇⢹⠋⢉⣹⣿⣿⣿⣿ ⣿⣿⣿⣶⣶⣿⣶⣶⣿⣶⣾⣶⣿⣦⣤⣾⣦⣤⣴⣿⣷⣤⣤⣼⣄⣇⣸⣀⣧⣀⣁⣸⣄⢘⣀⣧⡀⢃⠀⠃⠘⠛⠀⠛⡇⠀⠀⢸⣿⡇⠀⣿⠀⠸⠀⣿⡿⠀⢶⡇⠀⣤⡆⠀⡇⠀⣿⠀⣼⠁⢸⠀⢈⣹⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣷⣶⣶⣿⣷⣤⣤⣧⣤⣿⣷⣤⣥⣼⣧⣀⣿⣀⣸⣀⣸⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⡇⠈⠋⠉⠉⣿⣾⢿⠻⠻⠟⠛⠛⠛⠟⠛⠋⣠⣶⣿⣿⣿⣷⣦⣄⠙⠛⣩⣤⣶⣤⣌⡙⠛⠛⠓⠀⠀⢠⣿⡀⠀⣿⣿⣿⣿⣿⣿⣿⠀⣿⣷⣶⠄⠀⠀⠀⢰⣿⠟⠀⢠ ⣿⣿⣿⣿⢸⣾⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣇⢀⣸⡇⠀⣿⡿⠀⣠⣶⣿⣿⣿⣶⣾⣿⣿⣿⠛⣻⠿⠿⡿⣿⠟⠓⢚⢻⣿⠛⢻⣿⣿⡄⠠⠀⠀⠀⢰⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣾⠀⠀⠀⠈⠁⠀⣴⣿ ⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⡇⠀⣿⠁⢸⣿⣿⣿⣿⣿⣿⣿⡇⠂⠁⢰⠸⠀⡀⡇⢹⠀⣽⠨⠘⣿⢘⠘⣿⣿⣷⣶⣦⣀⣀⣈⡛⠃⠀⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⡄⠀⠀⠀⠀⠇⠕⠻ ⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⢿⣿⣿⣿⣽⣿⡇⢸⠿⠀⢘⣿⣿⣿⣿⣿⣿⣿⣇⣠⣼⣬⣴⣤⣤⣷⣶⡶⣾⠶⡶⠿⢿⠿⢻⠛⠻⠟⡛⣿⣿⣿⣿⣷⣄⠘⢿⣿⣿⣿⣿⣿⣧⠸⣿⣿⣿⢣⠀⠀⠀⠀⢀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡟⣿⣿⡇⠀⣴⣿⣿⣿⣿⡟⠛⢻⠻⠉⡏⠉⡏⠉⢁⠠⡇⠀⢸⠰⠀⡄⣿⠘⠀⡀⣽⠀⠀⡏⣥⣼⣿⣿⣿⣿⣿⣧⠈⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣞⠀⠀⠀⠀⢻⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⡇⠀⣿⣿⣿⣿⣿⣷⠠⢹⠀⠀⡇⡁⢃⣠⣸⣈⣃⣸⣸⣤⣤⣧⣬⣤⣶⣷⣶⣶⣷⣷⣿⣿⣿⣿⣿⣿⣿⠏⢀⣿⣿⣿⣿⣿⠿⠤⠟⠋⠉⠃⠠⠀⠀⠀⠐⡆⣴ ⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣷⢀⠙⢿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣈⣉⣩⣤⠶⣿⣿⣿⣿⣿⣟⡤⣶⡄⠀⠀⢀⣄⣀⡀⢀⠀⢰⢿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⢸⣹⣿⣶⣤⣭⣭⣤⡀⠻⣿⣿⣿⣿⣿⣿⠟⠻⣿⣿⣿⣿⣿⠟⢉⡉⠻⠿⠿⠿⠿⠛⣉⣤⣾⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣉⣀⠀⠀⠘⢹⣿⣿⣿⣦⣼⠋ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠛⠿⣿⣿⠀⣿⣿⢸⣿⣿⣿⣿⢸⣿⣿⣿⣦⣌⣉⣛⣋⣉⣥⣴⣶⣤⣍⣉⣉⣤⣴⡾⠿⠳⢶⣶⣶⣾⣿⣿⣿⣿⣿⣋⣉⠁⠀⠀⠉⢻⣿⣿⢁⢀⣹⣿⠤⣤⣄⠈⣹⠛⠛⡫⠚⣰ ⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⣤⣄⡈⣿⠀⠸⣿⢸⣿⣿⣿⣿⢸⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢉⣭⣥⣼⣿⣦⣤⣤⡉⠻⣿⣿⣿⣿⣿⡟⠛⠧⡄⢀⠄⣿⠁⠸⠟⠻⣿⣶⣿⠻⣶⣿⣇⠈⠈⠁⡇ ⣿⣿⡟⣿⣿⣿⣿⡟⡑⢀⠀⣀⠙⠟⠟⠁⠀⣠⡄⢈⣿⣿⣿⣿⠘⠻⢿⣿⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣈⣛⡋⠹⠿⡿⠋⣛⣃⣴⣿⣿⣿⡿⣄⡦⠀⠰⣿⣾⡒⢹⣿⣤⠀⠀⠙⠻⠿⢿⣿⣿⣿⣿⣷⣦⣀ ⣿⣿⢸⡿⠿⠿⠟⢳⠺⠊⠀⢉⠘⠷⠀⡄⠀⠄⡀⠀⣿⣻⣿⣧⡾⢷⣶⣿⢀⣿⣿⣿⣿⣿⣿⣿⣿⡯⠹⣿⣿⣿⣿⣿⣷⣶⣶⠾⠛⠛⠿⠿⠟⡹⠿⠃⠀⠀⠀⠀⠀⣠⠇⠐⢾⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⠏⠀ ⠉⠀⠀⠀⠀⠀⠀⣿⣇⠀⠀⢤⠆⠀⠀⠀⠀⠤⠀⠈⡿⠘⣟⢟⠁⣸⣾⣿⢻⣽⣿⣿⣿⣿⣿⣿⣿⡏⠁⢿⣿⣿⢸⣇⣿⠟⢩⣤⣾⣷⣶⠶⠄⢱⡇⠀⠈⠃⠀⢀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⡿⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⡗⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣦⣞⣿⣿⣷⡌⢿⣿⣿⣿⣻⣿⣿⣿⣿⣼⣿⢸⣿⢸⣿⣻⣿⣦⣤⣄⣉⣩⣴⣾⣟⣧⡀⢀⡴⠂⠿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⣾⣿⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠸⡏⢸⣧⡴⣧⠀⢸⣺⣿⣶⣿⣿⣿⣿⣿⣸⣟⣸⣿⠸⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣷⡋⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣬⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⠀⠀⠀⢸⠇⢸⣿⡷⣿⡆⢸⣿⡟⣿⣾⣿⣿⣿⣿⣸⣇⣿⣿⠀⣿⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠈⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣿⠏⠀⠀⠀⠗⠻⠃⠀⠀⠀⠀⢰⠀⠀⠀⠈⠀⠘⠛⢿⣷⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣿⡆⢻⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠰⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⡇⠐⠀⠀⣀⣀⣮⣿⣷⣿⣿⣿⣿⣟⢹⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣶⣶⠖⠐⡿⠍⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⠴⣥⡠⡄⠀⠀⠀⠀⠄⠃⠘⠉⠁⢴⣓⠻⢠⣤⣄⣉⣛⡛⣝⣿⣿⢿⣿⣿⣿⣿⣿⠟⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣮⣤⣄⣀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣶⠋⠉⠩⣾⣷⣀⣤⡄⢌⣀⣭⣍⠀⣤⣼⣻⣿⣿⣿⣿⣷⢸⣿⠛⣿⡿⣿⣿⣿⣷⣤⡿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣁⠀⠠⢄⣐⣪⠬⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣤⣤⣬⣥⣬⣥⣭⣽⣿⠓⡛⣶⣿⣿⣿⣿⣤⣭⣿⣿⣿⣿⣿⣿⡟⣾⣿⣷⢿⣧⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⢿⣿⣿⣕⢢⡶⢿⣟⠻⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢿⡛⢻⣿⣿⣿⣿⣿⠻⠶⠒⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⡜⡏⠉⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠃⠏⠀⠈⠉⢁⠀⠁⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ䷩ 𝚕𝚒𝚗𝚎 156 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at http://techrights.org/2021/10/17/illegally-banning-strikes/#comments Gemini version at gemini://gemini.techrights.org/2021/10/17/illegally-banning-strikes/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 10.17.21⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ [Meme]_First_Illegally_Banning_Strikes,_Then_Illegally_Taking_Over_Courts⠀✐ Posted in Europe, Patents at 2:05 am by Dr. Roy Schestowitz 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Avengers_Endgame:_let's_pass_unlawful_regulations⦈_ Summary: The vision of Team Battistelli/Campinos is a hostile takeover of the entire patent system, not just patent offices like the EPO; they’d stop at nothing to get there ⠀⠀⠉⠉⠛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣈⠙⠛⡟⠘⠻⢷⠀⠉⠠⠴⠄⠀⠀⠀⠐⠊⠀⠀⠘⡿⢿⣿⡿⣿⡀⠀⠀⢸⣿⣿⡿⢃⣿⠿⣿⣿⣁⡀⠀⠀⠐⠚⠋⠀⠀⢀⣠⣼⣿⠇⠀⠀⢀⡼⣿⣯⠙⢿⣧⣀⣀⣀⣠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠉⠙⠋⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⢻⣷⣜⠀⠈⠉⠙⠁⢼⠃⢠⣿⣿⠟⠁⠀⠀⠀⠀⠠⡄⢸⣿⣿⡿⠁⠀⠀⣴⣟⣼⣿⣿⡧⠀⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠤⣤⣾⡻⣿⣿⣶⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡀⣠⠻⣿⡀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⣠⣤⣀⣀⣤⣼⠟⠁⢀⣀⣤⣴⣾⣿⣿⣿⣿⣷⠄⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⣿⣿⡿⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠈⠤⠚⠂⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⠛⣿⣟⠉⣉⣀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠙⠻⠟⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢰⡄⠀⠀⠀⠀⠀⠀⠁⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠈⠟⢘⣛⠻⠄⠹⡏⠨⣿⣿⣯⣿⣿⣿⣿⣿⡿⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡶⠖⣫⣡⣾⡻⠷⠈⣄⠛⠋⠉⢭⠋⠋⠉⠉⠀⠀⣀⠀⢁⠀ ⠀⠀⢀⣀⣀⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⣾⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣁⣤⡰⣷⣽⣿⡙⣻⡿⣷⣽⣧⣴⣆⢀⣠⡦⣤⣶⣶⣿⣿⣷⠎⠀ ⣶⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⣀⣤⡄⣿⣿⣛⡙⣛⡿⣿⡄⠠⠆⠀⠀⣀⣠⣶⡼⣿⡽⣿⡽⣿⣿⣿⣝⠿⠛⣿⣿⣿⣯⠞⠀⢀⣧⣿⣿⣿⣿⣶⡤⣤ ⠿⠿⠟⠛⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠛⣥⡶⣶⣹⣿⢿⣮⣭⣟⣿⡟⠛⠛⠀⢀⣠⣔⠿⣿⣏⠹⣿⡽⣿⣽⣿⠹⠓⠉⠞⠀⠀⠈⠉⠛⠛⠟⠁⠀⠀⠀⠀⠀⠀⠀⠉⠑ ⠀⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣠⣶⣦⠀⠹⣿⡿⠇⢻⣿⢻⠿⣉⢩⢘⡂⣴⣆⠘⣿⣿⣦⡘⣿⣆⠹⡿⠈⠉⠁⠀⠀⣀⡀⠀⠀⢠⣀⢀⢀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡾⠿⠿⣷⣷⣶⡐⡹⣿⠆⡾⢍⢜⣃⡳⣾⣿⣿⡜⣿⣆⢹⣷⣿⡷⠜⠋⠀⠀⠀⠀⠀⢀⠀⢻⣿⣮⣹⣿⡁⣓⠀⠀⢉⡻⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⣾⣟⣋⠹⣿⡄⠀⠸⣷⡿⢏⣿⠄⣈⣥⡄⣿⡿⣟⡜⣿⣿⣿⡞⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⢀⠀⠘⠀⠀⠈⠹⢿⣷⡤⠋⠁⠀⠁⠀⠀⠒⠂⠀⠀⠀⣠⣀ ⠀⢀⡀⠀⠀⠀⠈⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⣿⣟⣀⠹⡿⠄⠀⠀⠀⣬⣶⣶⡽⣿⣶⠼⣿⣟⣿⡜⢛⡛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⡀⠀⠐⠀⠠⠀⠐⠁⠀ ⣷⣿⣿⣶⣄⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⣾⠟⠋⠅⢀⣀⣴⣆⠀⠘⣿⣾⣷⡝⣿⣶⠞⡛⠧⠖⠋⠀⠀⢤⡀⠄⢀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣶⣶⣶⣶⣦⠠⡀⠀⠀⠘⠦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠻⣿⣿⣦⡀⠈⢡⡄⠀⠀⠀⢀⣤⣶⣾⣿⣿⡎⠉⢀⣠⣔⣾⣿⣿⣜⣿⣆⢀⠘⣿⡞⠟⠈⠐⠛⠋⠀⠀⠠⠀⠀⠈⠀⠀⢾⡟⣆⠀⠀⠀⠀⠀⣠⣬⡿⣿⣿⣾⣤⡍⢸⠿⢢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡈⠻⢿⠃⠴⠞⢧⣄⠀⢠⣿⣿⣿⡇⠀⣈⣍⢶⣟⣿⣧⡞⣿⣟⣿⡞⡿⠟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣄⠀⠀⢰⣿⣿⣿⣿⡍⠙⠓⠻⡸⢴⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣉⡤⠖⠎⠈⠿⠀⠀⠛⣛⣿⡑⣿⣽⣿⣿⣿⡞⣿⣆⠘⠛⠛⣅⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⢿⣿⣿⣿⣿⠇⠤⠀⡰⠀⠀⣥⡉⠛⢙⣿⣻⢦⣄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⢀⣠⣶⡄⢹⣿⣿⣎⢿⣿⣟⢿⠿⠈⠁⠀⢠⠄⠈⠃⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠸⣿⣇⢀⣀⠙⢷⠄⠛⠀⠀⢀⣾⣿⣷⣻⣿⣾⣷⣷⣿⣿⣿⣿⣦⣄⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⣶⣽⣷⡹⣿⡄⢿⣿⢿⠧⡛⠩⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⠀⠀⠀⠀⠙⠛⠉⢉⡱⣮⡃⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⣿⢡ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣿⡽⣿⣿⣷⡹⡿⡛⣉⡘⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠙⡆⠀⣀⠀⠀⠀⠀⠀⢸⣧⣹⣿⠐⠉⠲⣿⣿⣿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣼ ⡢⢄⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠈⠸⣿⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⣰⣷⣶⣄⠀⠀⠀⠀⠀⠀⢠⣾⣷⠀⠀⢸⣿⡇⠀⠹⡄⢹⣦⣄⣀⣄⠀⢺⣿⣿⣿⣄⠀⠀⠀⢻⣦⣀⠀⠀⠀⠀⠉⠁⠉⠙⠺⢿⣼⡻ ⢸⣿⠷⣾⠿⢷⠿⠷⠿⠿⢷⠀⠈⠀⠀⠀⠀⠈⠿⢿⠁⠀⠀⠀⠀⠇⠀⣼⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⣿⢿⣿⠐⠀⠈⠛⠛⠀⠀⠉⠘⣿⣿⣿⣿⣿⠌⢿⣿⣿⣿⣦⠀⠀⠀⠹⣿⣷⣤⡀⠀⠀⠀⢀⣀⣀⣄⡉⢯ ⠀⠀⠉⠉⠛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣄⠉⠛⣿⠈⠻⢷⠀⠉⠠⠴⠄⠀⠀⠀⠐⠈⠀⠀⠸⡟⢿⣿⣿⣿⠀⢀⠀⢸⣿⣿⡿⢃⣿⠿⣿⣿⣁⠀⠀⠀⠠⠚⠋⠀⠀⢀⣀⣼⣿⠇⠀⠀⢀⡴⣿⣯⠙⢿⣧⣀⣀⣀⣠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠉⠉⠋⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠁⢻⣧⡘⠀⠈⠉⠙⠁⢼⠃⢀⣿⣿⠟⠁⠀⠀⠀⠀⠠⡄⢰⣿⣿⡿⠁⠀⠀⣴⣟⣹⣿⣿⡧⠀⣽⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠦⣤⣾⡻⣿⣿⣶⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠈⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⣠⣤⣀⣀⣠⣼⠟⠉⠀⣀⣠⣴⣾⣿⣿⣿⣿⣷⠄⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⣿⣿⡿⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠐⣉⠿⠅⢻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⠛⣿⣟⠉⣉⣀⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠛⠿⠿⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠰⡄⠀⠀⠀⠀⠀⠀⠁⠐⠂⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠈⠟⠘⣛⠻⠄⠹⡏⢨⣿⣿⣯⣿⣿⣿⣿⣿⡿⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡴⠖⣫⣡⣾⡻⠷⠈⡀⠻⠛⠉⢽⠉⠛⠋⠉⠀⠀⣀⠀⢁⠀ ⠀⠀⢀⣀⣀⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⣾⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣉⣤⡰⣷⣽⣿⡙⣻⡿⣷⣽⣧⣴⣆⢀⣠⡤⣦⣶⣶⣿⣿⣷⡜⠀ ⣶⣾⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⣀⣤⡄⣿⣿⣛⡙⣛⡿⣿⡄⠠⠆⠀⠀⣀⣠⣶⡼⣿⡽⣿⡽⣿⣿⣿⣝⠿⠛⣿⣿⣿⣯⠜⠁⢀⣧⣿⣿⣿⣿⣦⡤⣤ ⠿⠿⠟⠛⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠛⣥⡶⣶⡹⣿⢿⣮⣭⣟⣿⡟⠛⠛⠀⢀⣠⣔⠿⣿⣏⠹⣿⡽⣿⣽⣿⠹⠓⠉⠞⠀⠀⠈⠋⠛⠛⠟⠁⠀⠀⠉⠁⠀⠀⠈⠉⠑ ⠀⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣠⣶⣦⠀⠹⣿⡿⠇⢻⣿⢻⠿⣉⢩⢘⡂⣴⣆⠘⣿⣿⣦⡘⣿⣆⠹⡿⠈⠉⠁⠀⠀⣀⡀⠀⠀⢠⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡾⠿⠿⣷⣷⣶⡐⡹⣿⠆⡾⢍⢜⣃⡳⣾⣿⣿⡜⣿⣆⢹⣷⣿⡷⠜⠋⠀⠀⠀⠀⠀⢀⠀⢻⣿⣯⣹⣿⡁⢋⠀⠀⠈⡻⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⣾⣟⣋⠹⣿⡄⠀⠸⣷⡿⢏⣿⠄⣈⣥⡄⣿⡿⣟⡝⣿⣿⣿⡞⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠈⠹⢿⣿⢠⠏⠁⠀⠁⠀⠀⠂⠂⠀⠀⠀⢠⣀ ⠀⢀⡀⠀⠀⠀⠈⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⣿⣟⣀⠹⡿⠄⠀⠀⠀⣬⣶⣶⡽⣿⣶⠼⣿⣟⣿⡜⢛⡛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⡀⠀⠐⠂⠠⠀⠐⠁⠀ ⣷⣿⣿⣷⣄⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⣾⠟⠋⠅⢀⣀⣴⣆⠀⠘⣿⣾⣷⡜⣿⣶⠞⠛⠥⠖⠋⠀⠀⢤⡀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣶⣶⣶⣶⣦⢠⡀⠀⠀⠘⠅⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠻⣿⣿⣦⡀⠈⢡⡄⠀⠀⠀⠀⣠⣴⣶⣶⣶⡾⠉⢀⣠⣴⣾⣿⣿⣜⣿⣆⢀⠘⣿⡞⠟⠈⠐⠛⠃⠀⠀⠤⠀⠀⠈⠀⠀⢾⡟⣆⠀⠀⠀⠀⠀⣠⣬⡿⣿⣿⣾⣤⡉⢸⡷⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣈⠹⢿⠁⠴⠚⢧⣄⠀⠀⣾⣿⣿⡿⠉⣀⣍⢶⣟⣿⣧⡞⣿⣟⣿⡞⡿⠟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣄⠀⠀⢠⣿⣿⣿⣿⡉⠙⠓⠿⡸⣴⣿⣿⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣅⠤⠖⠎⠈⢿⠄⠀⠙⣛⣿⡑⣿⣼⣿⣿⣿⡞⣿⣆⠘⠛⠛⣅⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⢿⣿⣿⣿⡿⠃⠤⠀⠰⠀⠈⣭⡑⠛⢛⢿⢷⣦⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⢀⣠⣶⡄⢹⣿⣿⣎⢿⣿⣟⢿⠿⠈⠁⠀⢠⠄⠈⠃⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠸⠿⢷⡶⢬⡛⣷⢄⠛⠀⠀⢀⣷⣿⣧⣿⣷⣾⣶⣿⣿⣿⣿⣿⣦⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⣶⣽⣷⡹⣿⡄⢿⣿⢿⠧⣻⠩⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⠀⠀⠀⠀⠀⠀⢴⡜⢿⣯⠃⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢡ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣿⡽⣿⣿⣷⡹⡿⣛⢭⡚⡛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠙⡆⠀⣀⠀⠀⠀⠀⢸⣿⣾⣿⠀⠐⠑⢲⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣼ ⡀⢄⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⢹⣿⣅⣠⡀⠀⠀⠀⠀⠀⠀⠀⣰⣷⣶⣄⠀⠀⠀⠀⠀⠀⢠⣼⣷⠀⠀⢸⣿⡇⠀⠹⡄⢹⣦⣄⣠⣄⠘⣿⣿⣿⣷⡄⠀⠀⠈⢻⣤⡀⠀⠀⠈⠉⠉⠉⠉⠓⠿⣿⣼⠿ ⢸⣿⠷⣾⠿⢷⠿⠷⠿⠿⢷⠀⠈⠀⠀⠀⠀⠈⢿⢿⠋⠀⠀⠀⠀⠇⠀⣼⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⣿⢿⣿⠐⠀⠈⠛⠛⠀⠀⠙⠘⣿⣿⣿⣿⣷⠻⣿⣿⣿⣷⣄⠀⠀⠈⠻⣿⣶⣄⠀⠀⠀⠀⠀⣀⣀⣀⡙⢿ ⠀⠀⠈⠉⠙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣌⠙⠛⣿⠈⠻⢷⠀⠉⠠⠤⠀⠀⠀⠀⠐⠀⠀⠀⠸⡿⢿⣿⣿⣧⠀⠀⠀⢸⣿⣿⣿⠃⣿⡿⣿⣿⣁⠀⠀⠀⠠⠘⠛⠀⠀⢀⣀⣴⣿⠇⠀⠀⢀⠴⣿⣯⠙⢿⣦⢀⣀⢀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠉⠉⠋⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠸⣿⠋⢻⣦⠀⠀⠈⠉⠙⠁⢸⠇⢀⣿⣿⡿⠁⠂⠀⠀⠀⠠⡄⢰⣿⣿⡿⠃⠀⠀⣤⡟⣹⣿⣿⣧⠈⣽⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠤⣤⣾⡻⣿⣿⣶⣦⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠆⠈⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⣠⣤⣀⣀⣠⣬⠟⠋⠀⣀⣠⣴⣿⣿⣿⣿⣿⣧⡄⢿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠻⣿⣿⡿⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠒⡶⡃⢻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⠛⣿⡟⠋⣉⣁⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠈⠛⠿⠿⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠐⡄⠀⠀⠀⠀⠀⠀⠡⠐⠂⠀⠀⠉⠀⠀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠈⠟⢘⣛⠻⠄⠹⡏⢨⣿⣿⣫⣽⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡴⠖⣫⣡⣾⡻⠷⠈⡀⠻⠛⠋⠭⠫⠛⠛⠉⠀⠀⣀⠀⢁⠀ ⠀⠀⠀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⣾⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣉⣥⡰⣷⣽⣿⡙⣻⡿⣷⣽⣧⣴⣆⢀⣠⡤⣠⣶⣶⣾⣿⣷⡄⠀ ⣶⣾⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⣀⣤⡄⣿⣿⣛⡙⣛⡿⣿⡄⠠⠆⠀⠀⣀⣠⣶⡼⣿⡽⣿⡽⣿⣿⣿⣝⠿⠛⣿⣿⣿⣏⡼⠉⢀⣧⣿⣿⣿⣿⣧⢤⣤ ⢿⠿⠿⠛⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠛⣥⡶⣶⡹⣿⢿⣮⣭⣟⣿⡟⠛⠛⠀⢀⣠⣔⠿⣿⣏⠹⣿⡽⣿⣽⣿⠹⠓⠉⠞⠀⠀⠈⠛⠛⠻⠞⠁⠁⠀⠉⠉⠁⠀⠉⠉⠚ ⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣠⣶⣦⠀⠹⣿⡿⠇⢻⣿⢻⠿⣉⢩⢘⡂⣴⣆⠘⣿⣿⣦⡘⣿⣆⠹⡿⠈⠉⠁⠀⠀⣀⡀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡾⠿⠿⣷⣷⣶⡐⡹⣿⠆⡾⢍⢜⣃⡳⣾⣿⣿⡜⣿⣆⢹⣷⣿⡷⠜⠋⠀⠀⠀⠀⠀⣀⠀⠻⣿⣭⣻⣿⠁⢋⠀⠀⣈⣻⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⣾⣟⣋⠹⣿⡄⠀⠸⣷⡿⢏⣿⠄⣀⣥⡄⣿⡿⣟⡜⣿⣿⣿⡞⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠈⠻⣿⣿⣠⠟⠁⠀⠁⠀⠐⠒⠀⠀⠀⠀⢠⣀ ⠀⢀⡀⠀⠀⠀⠈⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⣿⣟⣀⠹⡿⠄⠀⠀⠀⣬⣶⣶⡽⣿⣶⠼⣿⣟⣿⡜⢛⡛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⡀⠀⠐⠀⠀⠀⠐⠉⠀ ⣿⣿⣿⣷⣄⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⣾⠟⠋⠅⢀⣀⣴⣆⠀⠘⣿⣾⣷⡜⣿⣶⠞⠛⠥⠖⠋⠀⠀⢤⡀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣶⣶⣷⣶⣦⢠⡀⠀⠀⠘⠅⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠻⣿⣿⣦⡀⠈⢡⡄⠀⠀⠀⠀⢀⣤⣶⣶⣶⣾⡭⢀⣠⣔⣾⣿⣿⣜⣿⣆⢀⠘⣿⡞⠟⠈⠐⠛⠃⠀⠀⢦⠀⠀⠈⠀⠀⢾⡟⣆⠀⠀⠀⠀⠀⣠⣍⣿⣿⣷⣾⣤⡉⢰⡷⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣈⠹⢿⠁⠴⠚⢧⣄⠀⠀⢰⣿⣿⣿⠋⣉⣅⢶⣟⣿⣧⡞⣿⣟⣿⡞⡿⠟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣄⠀⠀⢰⣿⣿⣿⣿⡍⠙⠛⠷⣸⣴⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⡅⠤⠒⠏⠈⠿⠄⠀⠘⣛⣿⡑⣿⣼⣿⣿⣿⡞⣿⣆⠘⠛⠛⣅⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣀⡀⢿⣿⣿⣿⣿⠃⠤⠀⡰⠀⠈⣩⠙⠛⢛⣿⢷⣦⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⢀⣠⣶⡄⢹⣿⣿⣎⢿⣿⣟⢿⠿⠈⠁⠀⢠⠄⠈⠁⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠈⠛⢋⢿⣾⣿⣷⢈⠙⠀⠀⢀⣶⣿⣧⣿⣷⣶⣶⣾⣿⣿⣿⣿⣦⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⣶⣽⣷⡹⣿⡄⢿⣿⢿⠧⣛⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⠀⠀⠀⠀⠀⢹⣧⣻⣿⠈⠃⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢡ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣿⡽⣿⣿⣷⡹⡿⢛⣭⡔⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⠈⠛⡆⠀⣀⠀⠀⠀⢸⣿⣿⣿⣄⠀⠐⠑⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠏⣼ ⡀⢄⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠙⣿⣏⣀⡄⠀⠀⠀⠀⠀⠀⠀⣴⣷⣶⣄⠀⠀⠀⠀⠀⠀⢠⣾⣷⠀⠀⢸⣿⡇⠀⠹⡄⣽⣦⣀⣠⡈⢿⣿⣿⣿⣦⠀⠀⠀⠙⣻⣄⡀⠀⠀⠉⠉⠉⠉⠉⠓⢿⣿⣼⢿ ⢸⣿⠶⣾⠿⢷⠿⠷⠿⠿⢷⠀⠈⠀⠀⠀⠀⠁⢹⣿⡟⠀⠀⠀⠀⠓⠀⣼⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⠐⠀⠈⠛⠛⠀⠀⠙⠘⣿⣿⣿⣿⡖⣿⣿⣿⣿⣧⡀⠀⠀⠈⢻⣿⣦⣄⠀⠀⠀⠀⠀⣀⣀⣈⠓⣕ ⠀⠀⠈⠉⠙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣆⠉⠛⣿⠈⠻⠷⠆⠈⠠⠴⠄⠀⠀⠀⠐⠈⠀⠀⠸⡿⣿⣿⣿⣧⠀⠀⠀⢨⣿⣿⣿⠃⣿⡿⣾⣿⠁⠀⠀⠀⠠⠜⠛⠀⠀⠀⣀⣴⣿⠇⠀⠀⠀⢴⣿⣯⠙⢿⣆⠀⠀⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠉⠉⠛⢰⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢾⣿⡟⢻⣆⠀⠀⠈⠉⠙⠀⢸⠇⠀⣼⣿⡿⠁⠂⠀⠀⠀⠠⡄⢰⣿⣿⡿⠃⠀⠀⣤⠏⣼⣿⣿⣧⠀⣻⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⣤⣶⡛⣿⣿⣶⣦⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠇⠈⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⣀⣤⣀⣀⣠⣤⠿⠋⠀⣀⣠⣴⣿⣿⣿⣿⣿⣧⡄⢿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠻⣿⣿⡿⠀⠀⠀⠀⠀⠀⠰⡀⠀⠀⠀⠀⠤⠤⡎⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⠟⣿⡿⠛⢉⣁⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠈⠻⠿⠿⠟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠐⡄⠀⠀⠀⠀⠀⠀⠁⠐⠂⠀⠀⠐⠁⠉⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠈⠿⠘⡛⠿⠅⠹⡏⠉⣿⣿⣻⣽⣿⣿⣿⣿⣿⠆⠀⠐⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡤⠖⣫⣡⣾⡻⠷⠉⡀⠺⠟⠛⠯⠫⠛⠛⠉⠁⠀⢀⠀⢃⠀ ⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⣾⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣁⣤⡰⣷⣽⣿⡙⣻⡿⣷⣹⣧⣴⣆⢀⣠⡤⣀⣴⣦⣾⣿⣷⡄⠀ ⣤⣶⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⣀⣤⡄⣿⣿⣛⡙⣛⡿⣿⡄⠠⠆⠀⠀⣀⣠⣶⡼⣿⡽⣿⡽⣿⣿⣿⣝⠿⠛⣿⣿⣿⣟⡼⠉⠀⣧⣿⣿⣿⣿⣯⣄⣤ ⠿⣿⠿⠿⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠛⣥⡶⣶⣹⣿⢿⣎⣭⣟⣿⡟⠛⠛⠀⢀⣠⣔⠿⣿⣏⠹⣿⡽⣿⣽⣿⠹⠓⠉⠞⠀⠀⠈⠛⠛⠻⠖⠂⠉⠁⠉⠉⠉⠉⠉⠙⠚ ⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣠⣶⣦⠀⠹⣿⡿⠇⢻⣿⢻⠿⣉⢩⢘⡂⣴⣆⠘⣿⣿⣦⡘⣿⣆⠹⡿⠈⠉⠁⠀⠀⢀⡀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡾⠿⠿⣷⣷⣶⡐⡹⣿⠆⡾⢍⢜⣃⡳⣾⣿⣿⡜⣿⣆⢹⣷⣿⡷⠜⠋⠀⠀⠀⠀⠀⣀⠀⢻⣿⣬⢻⣿⠉⠋⠀⠀⠈⡻⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⣾⣟⣋⠹⣿⡄⠀⠸⣷⡿⢏⣿⠄⣈⣥⡄⣿⡿⣟⡝⣿⣿⣿⡞⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⢀⠀⠘⠀⠀⠈⠻⣿⣿⣠⠟⠁⠀⠁⠀⠀⠐⠀⠀⠀⠀⢠⡀ ⠀⢀⡀⠀⠀⠀⠈⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⣿⣟⣀⠹⡿⠄⠀⠀⠀⣬⣶⣶⡽⣿⣶⠽⣿⣟⣿⡜⢛⡛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠄⠀⠀⡀⠀⠰⠀⢀⠀⠀⠉⠀ ⡿⢿⣿⣷⣄⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⣾⠟⠋⠅⢀⣀⣴⣆⠀⠘⣿⣾⣷⡜⣿⣶⠞⠛⠧⠖⠋⠀⠀⢤⡀⠄⢀⡀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣶⣶⣶⣤⣤⢤⡀⠀⠀⠸⠅⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠻⣿⣿⣦⡀⠉⢡⡄⠀⠀⠀⠀⠀⣠⣴⣶⣶⣾⣭⢞⣣⣔⣾⣿⣿⣜⣿⣆⢀⠘⣿⡞⠟⠈⠐⠛⠃⠀⠀⣦⠀⠀⠈⠀⠀⢶⡿⣆⠀⠀⠀⠀⠀⣠⣙⣿⣿⣿⣾⣭⡉⢰⡷⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣈⠹⢿⠁⠴⠚⢧⣄⠀⠀⢠⣾⣿⣿⠇⣉⣍⢶⣟⣿⣧⡞⣿⣟⣿⡞⡿⠟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣤⡄⠀⠀⢠⣿⣿⣿⣿⡏⠙⠻⠷⣸⣠⣾⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢈⡥⠤⠚⠏⠈⠿⠀⠀⠈⣛⣿⡑⣿⣼⣿⣿⣿⡞⣿⣆⠘⠛⠛⣅⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣦⣠⣿⢿⣿⣿⡿⠃⠤⠀⡰⠀⠈⣩⠙⠫⠻⣿⣷⣤⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⢀⣠⣶⡄⢹⣿⣿⣎⢿⣿⣟⢿⠿⠈⠁⠀⢠⠄⠈⠁⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⣤⣿⣿⣯⠻⣦⠈⠛⠀⠀⢀⣵⣾⣧⣿⣷⣶⣾⣿⣿⣿⣿⣷⣤⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⣶⣽⣷⡹⣿⡄⢿⣿⢿⠧⢛⡭⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠈⠂⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢡ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣿⡽⣿⣿⣷⡹⡿⢛⣭⡴⠾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⠉⠻⡆⠀⣀⠀⠀⠸⣿⣿⣿⣷⡀⠀⠐⠒⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣾ ⡀⢄⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠘⣷⣏⣈⡀⠀⠀⠀⠀⠀⠀⠀⣴⣷⣶⣄⠀⠀⠀⠀⠀⠀⢠⣴⣷⠀⠀⢸⣿⠇⠀⢱⡄⣽⣦⣀⣀⠻⣿⣿⣿⣷⡄⠀⠀⠀⠹⣿⣅⠀⠀⠈⠉⠉⠉⠉⠙⠻⢿⣟⣼⣿ ⢸⡿⠶⣾⠿⢷⠿⠷⠿⠿⢷⠀⠈⠀⠀⠀⠀⠉⢹⣿⡟⠁⠀⠀⠰⠃⢀⣾⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⣿⢿⣿⠐⠀⠈⠛⠓⠀⠀⠙⠸⣿⣿⣿⣧⢿⣿⣿⣿⣿⣆⠀⠀⠀⠘⢿⣷⣦⡀⠀⠀⠀⠀⠀⠀⢀⡈⠻⣗ ⠀⠀⠈⠉⠙⠛⠻⠿⠿⣿⣿⣿⣿⣿⣆⠉⠛⣿⠈⠻⠧⠆⠈⠠⠤⠄⠀⠀⠀⠀⠈⠀⠀⢸⡿⣿⣿⣿⣿⠀⠀⠀⢀⣿⣿⣿⠃⣿⡿⣾⣿⠃⠀⠀⠀⠀⠔⠛⠀⠀⠀⣀⣰⣿⠁⠀⠀⢀⣴⣿⣯⠙⢷⣄⠀⠀⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠉⠉⠛⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣽⣿⡿⢻⣆⠀⠀⠈⠉⠉⠀⢰⠇⠀⣼⣿⡿⠁⠂⠀⠀⠀⠀⡄⢰⣿⣿⡿⠁⠀⠀⠠⢃⣿⣿⣿⣧⠈⣻⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠵⣤⣶⡟⣿⣿⣶⣦⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠈⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⣀⣤⡀⣀⣁⣰⠽⠋⠀⢀⣀⣤⣿⣿⣿⣿⣿⣯⡀⢿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⣿⣿⡿⠀⠀⠀⠀⠀⠀⠰⡀⠀⠀⠀⠀⣀⡠⡌⢻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⣿⡿⠛⠋⠁⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠈⠻⢿⡿⠟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠐⡄⠀⠀⠀⠀⠀⠀⠁⠐⠂⠀⠀⠢⠂⠑⠈⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠈⠿⠘⠛⠿⠍⠹⡏⠙⣿⣿⣻⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡤⠖⣫⣡⣾⡻⠗⠙⡀⠺⠟⠛⢭⠛⠟⠋⠉⠁⠀⢀⠀⢁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⣾⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣁⣤⡰⣷⣽⣿⡙⣻⡿⣷⣹⣧⣤⣆⢀⣠⡤⣀⣤⣦⣶⣿⣦⡌⠀ ⣀⣤⣷⣾⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡄⣿⣿⣛⡙⣛⡿⣿⡄⠠⠆⠀⠀⣀⣠⣶⡼⣿⡽⣿⡽⣿⣿⣿⣝⠿⠛⣿⣿⣿⣟⡼⠉⠀⣏⣿⣿⣿⣿⣯⣀⣀ ⣿⣿⣿⡿⠿⠛⠛⠿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠛⣥⡶⣶⣹⣿⢿⣎⣭⣟⣿⡟⠛⠛⠀⢀⣠⣔⠿⣿⣏⠹⣿⡽⣿⣽⣿⠹⠓⣉⠾⠁⠀⠈⠛⠛⠻⠶⠂⠉⠁⠉⠉⠉⠉⠉⠓⠪ ⠉⠀⠁⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣠⣶⣦⠀⠹⣿⡿⠇⢻⣿⢻⠿⣉⢩⢘⡂⣴⣆⠘⣿⣿⣦⡘⣿⣆⠹⡿⠈⠉⠁⠀⠀⢀⡀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡾⠿⠿⣷⣷⣦⡐⡹⣿⠆⡾⢍⢜⣃⡳⣾⣿⣿⡜⣿⣆⢹⣷⡿⡷⠜⠋⠀⠀⠀⠀⠀⢀⠀⢻⣿⣼⢲⣿⠉⠋⠀⠀⠘⠷⠆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⣾⣟⣋⠹⣿⡄⠀⠸⣷⡿⢏⣿⠄⣀⣥⡄⣿⡿⣟⡜⣿⣿⣿⡞⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠈⠻⣿⣯⣀⠟⠃⠀⠁⠀⠀⠀⠀⠀⠀⠀⢀⠀ ⠀⢀⣀⠀⠀⠀⠈⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⣿⣟⣀⠹⡿⠄⠀⠀⠀⣬⣶⣶⡽⣿⣴⠼⣿⣟⣿⡜⣛⡛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⢄⠀⠀⠀⠀⠠⠀⠀⠀⠀⠋⠁ ⡿⢿⣿⣷⣦⡀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⣾⢟⡋⠅⢀⡀⣴⣆⠀⠘⣿⣾⣷⡜⣿⣶⠞⠛⠥⠖⠋⠀⠀⣤⠀⠄⣀⡀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣶⣤⣶⣤⣤⢀⡀⠀⠀⠰⡅⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⠻⣿⣿⣦⡀⠈⢡⡄⠀⠀⠀⠀⠀⣠⣤⣶⣶⣾⣭⢞⣻⣷⣾⣿⣿⣜⣿⣆⢀⠘⣿⡞⠛⠈⠐⠛⠁⠀⠀⣦⠀⠀⠈⠁⠀⢶⡷⣆⠀⠀⠀⠀⠀⣀⣙⣿⣿⣷⣾⣍⠃⢸⡷⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⠙⢟⠁⠴⠛⢦⣄⠀⠀⠀⣾⣿⣿⡿⣈⣅⢾⣟⣿⣧⡞⣿⣟⣿⡞⡿⠟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⣤⡄⢀⠀⢠⣿⣿⣿⣿⡉⠛⠻⠧⣸⣰⣾⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢈⡥⠄⠚⠏⠈⠿⠀⠀⠀⣛⣽⡑⣿⣼⣿⣿⣿⡞⣿⣆⠘⠛⠛⣁⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠟⣿⣾⡧⡿⠿⣿⣿⡿⠃⠄⠀⢰⠁⠈⣉⠛⠛⠻⡿⢶⣄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⢀⣠⣶⡄⢹⣿⣿⣎⢿⣿⣟⢿⠿⠈⠁⠀⢠⠄⠈⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⢺⣾⣿⣿⠈⠻⣧⠉⠛⠀⠀⢀⣵⣶⣎⣿⣧⣶⣦⣶⣽⣿⣿⣳⣄⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⣶⣽⣷⡹⣿⡄⢿⣿⢿⠧⠛⡹⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⢀⣿⣿⣿⣄⠀⠘⠂⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣿⡽⣿⣿⣷⡹⡿⠛⣭⣤⠾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢺⠉⠻⠄⠀⡀⠀⠈⢿⣿⣿⣿⣇⠀⠀⠰⠢⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠏⡼ ⡂⠄⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠘⣻⣿⢈⣁⠀⠀⠀⠀⠀⠀⢀⣴⣷⣶⣄⠀⠀⠀⠀⠀⠀⣠⣾⡇⠀⠀⢸⣿⠃⠀⢳⡀⣽⣄⡀⠈⢻⣿⣿⣿⣧⡀⠀⠀⠈⠻⣿⣉⠁⠀⠈⠉⠙⠛⠛⠛⠯⣿⣏⣼⣿ ⢸⡿⠶⣾⠿⢷⠿⠷⠿⠿⢷⠀⠈⠀⠀⠀⠀⠉⠙⣿⣿⠃⠀⠀⠐⠂⣠⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⠐⠀⠘⠛⠓⠀⠀⠙⢹⣿⣿⣷⢰⣿⣿⣿⣿⣷⡄⠀⠀⠀⠙⢿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠙⠫⡾ ⠀⠀⠈⠉⠙⠛⠻⠿⠿⣿⣿⣿⣿⣿⣆⠉⠛⣟⠋⠛⠷⠆⠈⠠⠤⠄⠀⠀⠀⠀⠈⠀⠀⢹⡷⢿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⠛⣿⣿⣾⣿⠃⠀⠀⠀⠀⠄⠛⠀⠀⠀⢀⣠⣟⠀⠀⠀⢀⣴⣿⣯⠁⢄⡀⠀⠀⠀⣠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠉⠉⠛⠠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⣸⣿⣿⢿⡆⠀⠀⠀⠉⠙⠁⢰⠏⠀⣼⣿⡿⠃⠀⠀⠀⠀⠀⡄⢰⣾⣿⡟⠁⠀⠀⠸⢰⣿⣿⣿⣧⠈⢻⣶⣾⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠵⣤⣶⡝⣿⣿⣷⣦⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣇⠈⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⢀⣠⠀⢀⣁⣰⡽⠋⠀⠀⣀⣤⣶⣿⣿⣿⣿⣯⡀⢿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⢿⣿⡿⠁⠀⠀⠀⠀⠀⠐⡀⠀⠀⠀⠀⢉⢀⣈⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠟⣿⣿⠛⠋⠁⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⠈⠻⣿⣿⠟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠐⡄⠀⠀⠀⠀⠀⠀⠐⠐⠂⠀⠀⠠⠔⠓⠈⢿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠈⠿⠒⠛⠻⠍⠹⡟⠙⣿⣿⣟⣯⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡤⠖⣫⣡⣾⡻⠷⠙⡀⠺⠟⠛⠟⠟⠟⠛⠛⠁⠀⢀⠀⢁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⣾⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣁⣤⡰⣷⣽⣿⡙⣻⡿⣷⣹⣧⣠⣄⠀⢀⣤⣀⣤⣆⣶⣯⣦⡄⠀ ⣀⣀⣭⣶⣶⣿⣿⣷⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⣀⣤⡄⣿⣿⣛⡙⣛⡿⣿⡄⠠⠆⠀⠀⣀⣠⣶⡼⣿⡽⣿⡽⣿⣿⣿⣝⡿⠛⣿⣿⣿⣟⡼⠉⠁⣏⣿⣿⣿⣿⣏⣁⣀ ⣽⣿⣿⣿⡿⠿⠿⠿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠛⣥⡶⣶⣹⣿⢿⣎⣭⣟⣿⡟⠛⠛⠀⢀⣠⣔⠿⣿⣏⠹⣿⡽⣿⣽⣿⠹⠓⠉⡾⠁⠀⠈⠛⠛⠿⠶⠂⠈⠉⠉⠉⠉⠉⠙⠓⠫ ⠿⠟⠉⠋⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣠⣶⣦⠀⠹⣿⡿⠇⢻⣿⢻⠿⣉⢩⢘⡂⣴⣆⠘⣿⣿⣦⡘⣿⣆⠹⡿⠈⠉⠁⠀⠀⢀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡾⠿⠿⣷⣷⣦⡐⡹⣿⠆⡾⢍⢜⣃⡳⣾⣿⣿⡜⣿⣆⢹⣷⣿⡷⠜⠋⠀⠀⠀⠀⠀⢀⠀⢿⣷⣜⢲⣾⠋⠒⠈⠀⠐⢷⠆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⣾⣟⣋⠹⣿⡄⠀⠸⣷⡿⢏⣿⠄⣀⣥⡄⣿⡿⣟⡜⣿⣿⣿⡞⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠈⠻⣿⣿⣀⠟⠃⠀⠁⠀⠀⠀⠄⠀⠀⠀⢀⠀ ⠀⣀⣀⠀⠀⠀⠈⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⣿⣟⣀⠹⡿⠄⠀⠀⠀⣬⣶⣶⡽⣿⣴⠽⣿⣟⣿⡜⣛⡛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⢄⠀⠀⠀⠀⠠⠄⢀⠀⠠⠋⠉ ⡿⠿⣿⣷⣦⡀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⣾⢟⣋⣅⢀⡀⣴⣆⠀⠘⣿⣾⣷⡜⣿⣶⠞⠛⠥⠖⠋⠀⠀⢤⠀⠄⢀⡀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣦⣤⣦⣤⣤⢀⠀⠀⠀⠰⡅⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠻⣿⣿⣦⡀⠈⢥⡄⠀⠀⠀⠀⠀⢀⣤⣶⣶⣾⣽⢾⣻⣽⣾⣿⣿⣜⣿⣆⢀⠘⣿⡞⠟⠈⠐⠛⠀⠀⠀⣦⠀⠀⠈⠁⠀⢶⣷⡄⠀⠀⠀⠀⠀⣀⣙⣿⣿⣿⣼⣉⡋⢸⡷⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⠙⢟⠁⠴⠛⢦⣄⠀⠀⠀⣾⣿⣿⡿⣃⣍⢾⣟⣿⣧⡞⣿⣟⣿⡞⡿⠟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣿⣦⡰⡆⠀⢰⣿⣿⣿⣿⡛⠛⠻⠷⣸⣠⣾⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢨⡤⠔⠛⠏⠉⠿⠀⠀⠀⣈⣭⡑⣿⣼⣿⣿⣿⡞⣿⣆⠘⠛⠛⣁⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠋⣻⣿⣿⠠⡻⢿⣿⣿⡿⠃⡤⠀⢰⠁⠈⣉⠛⠿⢻⣿⣦⣄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠚⠀⠀⠀⠀⠀⢀⣠⣶⡄⢹⣿⣿⣎⢿⣿⣟⢿⠿⠈⠁⠀⢠⠄⠈⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠘⣿⣿⣿⡇⠈⠻⣅⠉⠛⠀⠀⢀⣵⣶⣞⣿⣧⣶⣤⣦⣷⣿⣿⣶⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⣶⣽⣷⡹⣿⡄⢿⣿⢿⠧⠛⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⣼⣿⣿⣷⡄⠀⠙⠂⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣿⡽⣿⣿⣷⡹⡿⠛⣭⣤⠾⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢺⠉⠻⠄⠀⡀⠀⠹⣿⣿⣿⣿⣇⠀⠀⠰⠢⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⡼ ⡐⠄⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠘⢻⣿⣈⣁⠀⠀⠀⠀⠀⠀⣀⣴⣿⣶⣄⠀⠀⠀⠀⠀⠀⣠⣾⡇⠀⠀⢸⣿⠃⠀⢳⡀⣷⣄⡀⠘⣿⣿⣿⣿⣦⡀⠀⠀⠈⢻⣯⡉⠉⠁⠈⠛⠛⠛⠛⠻⢽⣿⣏⣼⣷ ⢺⡿⠶⣾⠿⢷⠿⠷⠿⠿⢷⠀⠈⠀⠀⠀⠀⠉⠙⣿⣿⠁⠀⠀⠀⢀⣴⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⣿⣿⣷⠐⠀⠘⠛⠓⠀⠈⠛⢻⣿⣿⣆⢹⣿⣿⣿⣿⣷⡄⠀⠀⠀⠹⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⡫ ⠀⠀⠈⠉⠙⠛⠛⠿⠿⣿⣿⣿⣿⣿⣆⠉⠛⣟⠋⠛⠷⠆⠈⠀⠤⠄⠀⠀⠀⠀⠈⠀⠀⢹⡿⢿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⠏⣼⣿⣾⣿⠃⠀⠀⠀⠀⠄⠟⠂⠀⠀⢀⣠⡇⠀⠀⠀⣠⣴⣿⣏⠀⠀⠀⠀⠀⢀⣴ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠉⠉⠛⠠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢫⣹⣿⣿⣿⡆⠀⠀⠈⠉⠉⠁⢰⡏⠀⣸⣿⣿⠃⠀⠀⠀⠀⠀⡀⢠⣾⣿⡏⠀⠀⠀⠂⣸⣿⣿⣿⣧⠀⢲⣶⣾⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⢤⣴⣙⢿⣿⣷⣶⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢻⣟⠈⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠙⠉⠀⠀⠀⢀⣠⠀⠀⣁⣠⡽⠛⠀⠀⢀⣴⣶⣿⣿⣿⣿⣯⡀⢾⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢿⣿⡿⠁⠀⠀⠀⠀⠀⠐⡀⠀⠀⠀⠀⠛⠀⢈⢿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡟⣿⣿⠛⠋⠉⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⠘⠻⣿⣿⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠐⡆⠀⠀⠀⠀⠀⠀⠐⠐⠂⠀⠀⢈⡱⠫⠈⢿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠈⠿⠐⠿⠿⠉⠹⡟⠙⣿⣿⢟⣻⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠴⣪⣡⣾⡻⠗⠙⡀⠹⠿⠛⡟⠟⠟⠛⠛⠉⠀⠀⠀⢃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⣾⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣉⣤⡰⣷⣽⣿⡙⣻⡿⣷⣹⣇⣠⣄⠀⢀⣀⢀⣤⣄⣴⣯⣦⡈⠀ ⠀⠀⠛⣀⣤⣴⣶⣶⣶⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⣀⣤⡄⣿⣿⣛⡙⣛⡿⣿⡄⠠⠆⠀⠀⣀⣠⣶⡼⣿⡽⣿⡽⣿⣿⣿⣝⠿⠛⣿⣿⣿⣟⡼⠋⠁⣏⣿⣿⣿⣿⣏⣁⣀ ⠀⣹⣿⣿⣿⣿⣿⠿⠿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠛⣥⡶⣶⣹⣿⢿⣎⣭⣟⣿⡟⠛⠛⠀⢀⣠⣔⠿⣿⣏⠹⣿⡽⣿⣽⣿⠹⠓⠉⡾⠁⠀⠘⠛⠻⠿⠶⠂⠈⠉⠙⠉⠉⠉⠙⠚⠩ ⡻⣿⡿⠛⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣠⣶⣦⠀⠹⣿⡿⠇⢻⣿⢻⠿⣉⢩⢘⡂⣴⣆⠘⣿⣿⣦⡘⣿⣆⠹⡿⠈⠉⠁⠈⠀⢀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡾⠿⠿⣷⣷⣦⡐⡹⣿⠆⡾⢍⢜⣃⡳⣾⣿⣿⡜⣿⣆⢹⣷⣿⡷⠜⠋⠀⠀⠀⠀⠀⢀⠀⢿⣷⣔⢲⣾⠃⠒⠈⠀⠐⣶⠆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⣾⣟⣋⠹⣿⡄⠀⠸⣷⡿⢏⣿⠄⣈⣥⡄⣿⡿⣟⡜⣿⣿⣿⡞⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠉⠻⣿⣯⣁⠞⠂⠀⠁⠀⠀⠀⠄⠀⠀⠀⢀⠀ ⠀⣀⣀⠀⠀⠀⠈⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⣿⣟⣀⠹⡿⠄⠀⠀⠀⣬⣶⣶⡽⣿⣴⠽⣿⣟⣿⡜⣛⡛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⢀⠀⢀⠀⠀⠠⠀⠀⠀⠠⠛⠉ ⡿⢿⣿⣷⣦⡀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡾⢟⣋⣥⣄⡀⣴⣆⠀⠘⣿⣾⣷⡜⣿⣶⠞⠛⠥⠖⠋⠀⠀⣤⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣤⣤⣦⣤⣄⢀⠀⠀⠀⠲⡃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠛⢿⣿⣦⡀⠈⢠⡄⠀⠀⠀⠀⠀⢀⣴⣶⣶⣾⣿⢶⣫⣽⣾⣿⣿⣜⣿⣆⢀⠘⣿⡞⠛⠈⠐⠛⠀⠀⠐⣦⠀⠀⠘⠀⠀⠐⠷⡄⠀⡀⠀⠀⠀⣈⣙⣿⣿⣿⣼⣉⡋⢸⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠄⠙⣛⠀⠚⠉⢦⣄⠀⠀⠀⢰⣿⣿⡿⣋⣄⢶⣟⣿⣧⡞⣿⣟⣿⡞⡿⠟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣾⣿⣷⣽⡄⠀⢰⣿⣿⣿⣿⡛⠛⠧⣧⣸⣠⣾⣷⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠤⠖⠛⠏⠈⠿⠀⠀⠀⣈⣭⡑⣿⣼⣿⣿⣿⡞⣿⣆⠘⠛⠛⡁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣡⣿⣿⣷⠀⡿⢿⣿⣿⡿⠂⡀⠀⢰⠁⢉⣉⠛⠿⠿⣿⣦⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠊⠀⠀⠀⠀⠀⢀⣠⣶⡄⠹⣿⣿⣎⢿⣿⣟⢿⠿⠈⠁⠀⠀⠀⠈⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡄⠘⠻⡅⠙⠓⠀⠀⢀⣵⣶⡜⣿⣦⣶⣤⣧⣷⣿⣿⣦⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⣶⣽⣷⡹⣿⡄⢿⣿⢿⠧⠛⣹⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⣿⣿⣿⣷⡄⠀⠙⠂⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢠ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣿⡽⣿⣿⣷⡹⡿⠛⣯⣤⠾⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢷⠉⠻⠀⠀⡀⠀⠸⣿⣿⣿⣿⣆⠀⠀⠠⢤⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣿⠏⡼ ⡐⠄⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠘⢻⣿⣉⣡⠀⠀⠀⠀⠀⠀⣠⣴⣿⣶⡄⠀⠀⠀⠀⠀⠀⣠⣶⡇⠀⠀⢼⣿⠂⠀⢷⠀⣷⣀⠀⠸⢿⣿⣿⣿⣦⡀⠀⠀⠙⢻⣏⠉⠉⠉⠙⠛⠛⠛⠛⠿⢽⣿⡏⣼⣷ ⢸⡿⠶⣾⠿⢷⠿⠷⠿⠿⢷⠀⠈⠀⠀⠀⠀⠈⠉⣿⣿⠉⠀⠀⠀⣤⣾⣿⣿⡿⠛⠋⠀⠀⠀⠀⠀⠀⣿⣿⣇⠐⠀⠘⠛⠃⠀⠈⠓⢻⣿⣿⡄⢿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠻⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢵⣿ ⠀⠀⠈⠉⠙⠛⠛⠿⠿⣿⣿⣿⣿⣿⣆⠉⠛⢿⠃⠛⠿⠆⠈⠀⠴⠄⠀⠀⠀⠀⠈⠀⠀⢹⡿⢿⣿⣿⣿⠀⠀⠀⠀⣹⣿⣿⠏⣸⣿⣶⣿⠃⠀⠀⠀⠀⠄⠿⠂⠀⠀⠀⡀⠀⠀⠀⠀⣠⣴⣷⣄⠀⠀⠀⠀⠀⣠⣼ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠋⠉⠛⠁⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠘⣿⣿⣿⡇⠀⠀⠀⠉⠙⠃⢠⡟⠀⣸⣿⣿⠃⠀⠀⠀⠀⠀⡀⢠⣶⣿⠋⠀⠀⠐⠈⣿⣿⣿⣿⣦⠀⢠⣴⣾⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⢤⣤⡝⢿⣿⣷⣶⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠚⢿⣿⠉⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠙⠉⠁⠀⠀⢀⣀⠀⠀⢀⣀⡳⠛⠀⠀⢀⣰⣾⣿⣿⣿⣿⣿⡀⢼⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⢿⣿⡿⠁⠀⠀⠀⠀⠀⠐⡀⠀⠀⠀⠀⠛⠀⠘⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⣿⣿⠛⠛⠉⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⠘⠿⣿⣿⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠐⣆⠀⠀⠀⠀⠀⠀⠐⠀⠒⠀⠀⠐⢖⠎⡈⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠈⢿⠐⠿⠾⠋⠹⡟⠙⣿⣿⢿⣻⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠈⠉⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠤⣪⣡⣾⡻⠗⠑⠀⢹⠾⠛⡛⠟⠿⠛⠛⠉⠀⠀⠀⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⣾⣿⡗⠀⠀⠀⠀⠀⠀⠀⢀⠀⠈⣁⣤⡰⣷⣽⣷⡙⣻⡿⣷⣱⣇⣠⡄⠀⢀⣀⠂⣠⣄⣴⣮⣦⡈⠀ ⠀⠀⢻⡆⠀⣀⣠⣤⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡄⣿⣿⣛⡙⣛⡿⣿⡄⠀⠆⠀⠀⣀⣠⣶⡼⣿⡽⣿⡽⣿⣿⣿⣝⠿⠛⣿⣿⣿⣿⡸⠋⠁⣜⣿⣿⣿⣿⣟⡁⠀ ⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠛⣥⡶⣶⣹⣿⢿⣎⣭⣟⣿⡟⠛⠛⠀⢀⣠⣔⠿⣿⣏⠹⣿⡽⣿⣽⣿⠹⠓⠉⡾⠁⠀⠙⠟⠻⠿⠴⠂⠈⠉⠙⠛⠛⠛⠛⠋⠽ ⣦⢺⣿⣿⠟⠿⠉⠁⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣠⣶⣦⠀⠹⣿⡿⠇⢻⣿⢻⠿⣉⢩⢘⡂⣴⣆⠘⣿⣿⣦⡘⣿⣆⠹⡿⠈⠉⠁⠈⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠁⠉⠀⠀⢶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡾⠿⠿⣷⣷⣶⡐⡹⣿⠆⡾⢍⢜⣃⡳⣾⣿⣿⡜⣿⣆⢹⣷⡿⡷⠜⠋⠀⠀⠀⠀⠀⠀⠀⢿⣷⣐⢲⣾⠃⠒⠈⠀⠐⢶⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⣾⣟⣋⠹⣿⡄⠀⠸⣷⡿⢏⣿⠄⣀⣥⡄⣿⡿⣟⡜⣿⣿⣿⡞⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠙⢿⣿⣯⢀⡾⠂⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⡀ ⠀⣀⣀⠀⠀⠀⠈⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⣿⣟⣀⠹⡿⠄⠀⠀⠀⣬⣶⣶⡽⣿⣴⠽⣿⣟⣿⡜⣛⡛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⣀⠀⢀⠀⠀⠠⠀⠀⠀⠀⠚⠃ ⡿⠿⣿⣷⣦⡀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡾⠟⣋⣥⣴⡀⣴⣆⠀⠘⣿⣾⣷⡜⣿⣶⠎⠛⠥⠖⠋⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣷⣤⣤⣤⣀⣀⢀⠀⠀⠀⢾⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠛⢿⣿⣦⡀⠀⢤⡆⠀⠀⠀⠀⠀⢀⣴⣾⣿⣾⣿⢶⣫⣽⣾⣿⣿⣜⣿⣆⢀⠘⣿⡞⠛⠈⠐⠃⠀⠀⠐⣦⠀⠀⠘⠀⠀⢉⣳⣄⡠⡄⠀⠀⠀⣈⣛⣿⣿⣯⣼⡉⡋⢸⣦⡀⠀⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠄⠙⣋⠀⠚⡊⣦⣄⠀⠀⠀⢰⣿⣿⡿⣟⣅⢶⣟⣿⣧⡞⣿⣟⣿⡞⡿⠟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⢿⣷⣵⡄⠀⢠⣿⣿⣾⣿⡛⠻⠷⣦⢘⣠⣾⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠄⠒⠛⠁⠈⠿⠀⠀⠀⣀⣭⡑⣿⣼⣿⣿⣿⡞⣿⣆⠘⠛⠛⡁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣧⠀⠻⢿⣿⣿⡿⠂⠀⠀⢰⠉⠉⣋⠹⠻⠿⣷⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⢀⣠⣶⡄⠹⣿⣿⣎⢿⣿⣟⢿⠿⠈⠁⠀⠀⠀⠈⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡀⠘⢾⡄⠙⠓⠀⠀⢀⣥⣶⡜⣿⣦⣤⣤⣽⣿⣿⣷⣦⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⣶⣽⣷⡹⣿⡄⢿⣿⢿⠧⢛⣹⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠰⣿⣿⣿⣿⡄⠀⠙⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢠ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣿⡽⣿⣿⣷⡹⡿⠛⣯⢦⠚⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢷⠉⠻⠀⠀⡀⠀⠸⣿⣿⣿⣿⣆⠀⠀⠠⢄⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⠏⡼ ⠐⠄⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠈⢹⣿⣀⣠⣀⠀⠀⠀⠀⢀⣤⣴⣿⣦⡀⠀⠀⠀⠀⠀⠀⣤⣶⡆⠀⠀⢼⣿⠂⠈⢧⠀⣷⡀⠀⠘⢿⣿⣿⣿⣧⡀⠀⠀⠙⢿⣟⠉⠉⠉⠙⠛⠿⠿⠿⠿⣟⣿⡏⣸⣵ ⢲⡿⠶⣾⠿⢷⠿⠷⠿⠿⢷⠠⠈⠀⠀⠀⠀⠀⠈⡿⢿⠉⠀⠀⢀⣶⣿⣿⣿⠿⠛⠃⠀⠀⠀⠀⠀⠀⢛⣿⣷⣴⡀⠘⠛⠂⠀⠈⠓⢻⣿⣿⡄⢻⣿⣿⣿⣿⣿⣆⠀⠀⠀⢻⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⢿ ⠀⠀⠈⠉⠉⠛⠛⠿⠿⣿⣿⣿⣿⣿⣇⠈⠛⢿⡇⠙⠿⠄⠈⠀⠴⠄⠀⠀⠀⠀⠈⠀⠀⢹⡿⢿⣿⣿⣿⡀⠀⠀⠀⣹⣿⣿⠟⢸⣿⣶⣿⠃⠀⠀⠀⠀⡀⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⠀⠀⠀⠀⠀⠀⣀⣼⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠙⠛⠃⣾⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠘⣿⣿⣿⡇⠀⠀⠀⠉⠙⠃⢠⡿⠁⣸⣿⣿⠇⠀⠀⠀⠀⠀⡀⢀⣴⣿⠇⠀⠀⠰⠈⣿⣿⣿⣦⣀⠀⢠⣴⣾⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⠤⣤⡜⢿⣿⣷⣶⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠶⢽⣿⠋⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠁⠀⠀⠀⣀⠀⠀⠁⢈⡻⠟⠀⠀⠀⣠⣼⣿⣿⣿⣿⣿⡀⢼⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢿⣿⡿⠃⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠈⠿⠀⠘⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⣿⣿⠛⠛⠋⠁⢀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣥⡘⢿⣿⣿⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⣆⠀⠀⠀⠀⠀⠀⠐⠀⠒⠀⠀⠰⡠⢐⠘⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠙⢷⠰⠶⠖⠊⠹⡾⠛⣿⣿⠿⣟⣿⣿⣿⣿⣿⡄⠀⠈⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀⠁⠈⠛⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠤⣪⣡⣾⡻⠗⠱⠀⢹⡷⠿⡛⠟⠿⠿⠛⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⣾⣿⡗⠀⠀⠀⠀⠀⠀⠀⢀⠀⠘⣁⣤⡰⣷⣽⣷⡙⣻⡿⣷⣱⣇⣀⡄⠀⢀⣀⠂⣀⣄⣤⣶⣤⡀⠀ ⠁⠀⢹⣆⠀⠀⠀⠀⣀⣀⣄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡄⣿⣿⣛⡙⣛⡿⣿⡄⠠⠀⠀⠀⣀⣠⣶⡼⣿⡽⣿⡽⣿⣿⣿⡝⠿⠛⣿⣿⣿⡿⣰⠛⠁⣜⣿⣿⣿⣿⣟⠃⠀ ⠀⠀⠀⣩⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠛⣥⡶⣶⣹⣿⢿⣎⣭⣟⣿⡟⠛⠛⠀⢀⣠⣔⠿⣿⣏⠹⣿⡽⣿⣽⣿⠹⠓⠩⡾⠃⠀⠙⠟⠻⠿⠥⠄⠐⠋⠙⠛⠛⠛⠛⠋⢙ ⣶⣆⢿⣿⡿⠛⢿⠟⠋⠉⠉⠉⠉⠙⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣠⣶⣦⠀⠹⣿⡿⠇⢻⣿⢻⠿⣉⢩⢐⡂⣴⣆⠘⣿⣿⣦⡘⣿⣆⠹⡿⠈⠉⠁⠈⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠉⠈⠁⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡾⠿⠿⣷⣷⣶⡐⡹⣿⠆⡾⢍⢜⣃⡳⣾⣿⣿⡜⣿⣆⢹⣷⡿⡷⠜⠋⠀⠀⠀⠀⠀⠀⠀⢾⣷⣐⢶⣾⠃⠖⠀⠀⠰⣶⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⣾⣟⣋⠹⣿⡄⠀⠸⣷⡿⢏⣿⠄⣀⣥⡄⣿⡿⣟⡜⣿⣿⣿⡞⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠙⢿⣿⣯⢀⡶⠂⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⣀⣀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⣿⣟⣀⠹⡿⠄⠀⠀⠀⣬⣶⣶⡽⣿⣴⠽⣿⣟⣿⡜⣛⡛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⡀⠀⢀⠀⠀⢤⡀⠀⠀⠀⠞⠓ ⠿⠿⣿⣿⣦⡀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⣾⠟⣋⣥⢔⡢⣴⣆⠀⠘⣿⣾⣷⡜⣿⣶⠞⠛⠥⠖⠋⠀⠀⣤⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⣶⣷⣤⣤⣤⣀⣀⡀⠀⠀⠐⣾⠀⠀⠀⠀⠈⠀⠀⠀⠀ ⠀⠀⠈⠛⢿⣿⣷⡀⠀⢴⠆⠀⠀⠀⠀⠀⣀⣴⣾⣿⡿⠿⢞⣻⣕⣾⣿⣿⣜⣿⣆⢀⠘⣿⡞⠛⠈⠐⠃⠀⠀⠐⣦⠀⠀⠘⠀⢀⣨⣽⣦⡰⡄⠀⠀⠀⣈⡛⣿⣿⣷⣼⡙⠋⢸⣦⠀⠀⠀⠀⠦⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠄⢙⡋⠀⠚⡊⣦⣄⠀⠀⠀⠘⣿⣿⡿⣟⣅⢶⣟⣿⣧⡞⣿⣞⣿⡞⡿⠟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡿⢻⣿⣾⡆⠀⢠⣿⣿⣾⣟⠛⡻⢧⣇⢸⣡⣾⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠔⠂⠛⠁⠈⠿⠀⠀⠀⣀⣤⡐⣿⣼⣿⣿⣿⡞⣿⣆⠘⠛⠛⡁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⡇⢀⠿⢿⣿⣿⡿⠂⠀⠀⢰⠉⠙⠋⠿⠻⢿⣶⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⢀⣠⣶⡅⢹⣿⣿⣎⢿⣿⣟⢿⠿⠈⠁⠀⠀⠀⠈⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡀⠘⢶⡍⠙⠇⠀⠀⢀⣧⣤⡸⣿⣆⣤⣄⣥⣯⣿⣶⣄⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⣶⣽⣷⡹⣿⡄⢿⣿⢿⠧⣛⣽⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠸⣿⣿⣿⣿⣆⠀⠙⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⢠ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣿⡽⣿⣿⣷⡹⡿⠛⣭⢶⠚⡛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠙⢷⠀⠀⠀⠀⠹⣿⣿⣿⣿⣦⠀⠀⢠⣀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠏⡼ ⠐⠄⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠸⣧⣤⣴⣤⠀⠀⠀⠀⣀⣤⣴⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⣶⣦⣄⡀⣼⡿⠀⠈⢧⠀⣷⡀⠀⠘⢿⣿⣿⣿⣷⡄⠀⠈⠻⢿⡟⠛⠉⠋⠻⠿⠿⠿⠿⢿⣳⣿⡏⣰⣵ ⢰⡿⠶⣾⠿⢷⠷⠷⠿⠿⢷⠰⢨⠀⠀⠀⠀⠀⠀⠻⠟⠉⠀⠀⣠⣾⣿⣿⣿⠿⠛⠃⠀⠀⠀⠀⠀⢴⣾⣿⣿⣿⣷⡜⠛⠂⠀⠈⠓⢿⣿⣷⡄⢺⣿⣿⣿⣿⣿⣦⡀⠀⠈⢿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿ ⠀⠀⠈⠉⠛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣷⠙⠻⢿⡷⠘⠻⠔⠀⠀⠤⠄⠀⠀⠀⠀⠀⠀⠀⢹⡧⢻⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⡟⢸⣿⣶⣿⡇⠀⠀⠀⠀⣁⠿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣶⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠛⠖⢰⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠘⣿⣿⣿⡇⠀⠀⠀⠉⠙⠃⢀⡾⠁⢀⣿⣿⠗⠀⠀⠀⠀⠀⡀⠀⣴⣾⠿⠀⠀⠠⠀⠀⠀⠀⠀⣠⠔⢿⣦⣼⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢆⣠⡤⠺⢿⣿⣶⣦⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣄⣸⣿⡿⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠁⠀⠀⠀⢀⠀⠀⠐⠈⣫⠟⠀⠀⠀⢀⣠⣿⣤⣤⣾⣿⠃⢸⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠈⢿⡀⠸⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢾⣿⠿⠟⠛⠋⠁⠀⣠⣤⣴⣿⣿⣿⣿⣿⣿⣿⣣⡘⢿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⣦⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠀⢀⣀⢀⠜⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠉⠀⠹⠂⠴⠶⠄⠂⠨⡾⠛⣿⣿⣿⢿⣻⣽⣿⣿⣿⡅⠀⠉⠉⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠈⠂⠘⠟⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣠⣠⣾⡻⠗⠱⠀⢫⣵⠾⠟⡿⠿⠿⠿⠛⠁⠀⠀⠂⠀ ⣦⣄⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⣾⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣈⣬⡰⣷⣽⣷⡙⣻⡿⣷⣰⣆⢀⡀⠀⠀⡀⠀⣀⡄⣠⣔⣄⠈⠀ ⠀⠁⠐⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡄⣿⣿⣋⡙⣛⡿⣿⡄⠀⠀⠀⠀⣀⣠⣶⡼⣿⡽⣿⡽⣿⣿⣿⡝⠿⠛⣿⣿⣿⣿⢰⠚⠋⣸⣿⣿⣿⣿⡟⠃⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⣶⣶⣶⣾⣿⣿⣿⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠛⣥⡶⣶⡹⣿⢿⣎⣭⣟⣿⡟⠛⠛⠀⢀⣠⣔⠿⣿⣏⠹⣿⡽⣿⣽⣿⠹⠓⠩⣾⠃⠀⠙⠿⠿⠿⣥⠄⠐⠛⠛⠛⠛⠛⠻⠝⠛ ⣤⣤⣤⡄⣀⣀⠙⠻⢿⡿⠿⠛⠛⠛⠛⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠁⠀⣠⣶⣦⠀⠹⣿⡿⠇⢻⣿⢻⠿⡉⢉⢒⡂⣴⣆⠘⣿⣿⣦⠘⣿⣆⠹⡿⠈⠉⠁⠈⠀⠀⠁⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⢀⣠⣴⡾⠿⠿⣷⣶⣦⡐⡹⣿⠆⣾⣍⢐⣃⡳⣾⣿⣿⡜⣿⣆⢹⣷⡿⡷⠜⠋⠀⠀⠀⠀⠀⠀⠀⣾⣶⡰⢤⣼⠆⠄⠀⠀⠠⣦⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣾⣟⣋⠹⣿⡄⠀⠸⣷⡿⢏⣿⠄⣀⣥⡄⣿⡿⣟⡜⣿⣿⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠙⢿⣾⣟⠂⡶⠄⠀⠂⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣀⠀⠀⠀⠀⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⣿⣟⣀⠹⡿⠄⠀⠀⠀⣬⣶⣶⡽⣿⣴⠽⣿⣟⣿⡜⣛⡛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠉⠀⢀⡀⠀⠀⠀⢀⠀⠀⠀⢀⡴⠷ ⠴⠿⣿⣿⣦⣀⠀⠈⣳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⢿⣧⣾⢟⣋⡥⢖⡢⣴⣆⠀⠘⣿⣾⣷⡜⣿⣶⠎⠛⠥⠶⠋⠁⠀⣄⠀⠀⢒⢄⡀⣀⠀⠀⠀⠀⠀⣴⣶⣀⣀⣄⣀⠀⠀⠀⢿⣇⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀ ⠀⠀⠈⠙⢿⣿⣷⠀⠀⢶⠆⠀⠀⠀⠀⠀⢠⣴⣿⣿⣿⡭⢚⣫⣽⣾⣿⣿⣜⣿⣆⠀⠘⣿⡞⠛⠈⠐⠃⠀⠀⠀⣦⠀⠀⠉⠀⠀⡴⣾⣿⣾⣄⠀⠀⠀⡘⠻⣿⣿⣎⣹⠛⠆⠀⠀⠀⠘⠳⣦⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠄⣙⠋⠀⢛⡈⣶⡆⠀⠀⠀⠀⠘⠿⠿⣟⣍⢶⣟⣿⣧⡞⣿⣞⣿⡞⡿⠟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠚⠛⣿⣿⡇⠀⢠⣿⣿⣾⡿⠺⠿⣧⣁⢚⢠⣤⣀⠀⠈⠉⠋⠻⠶⣦⣄⠀⠀ ⠀⠀⠀⠀⠀⠰⠐⠊⠙⠀⠈⠟⠀⠀⢤⣂⣤⡐⣿⣼⣿⣿⣿⡞⣿⣆⠘⠛⠛⡁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣧⠀⠿⢿⣟⣿⡿⠀⠀⠀⢰⠉⠚⠛⠟⡳⣦⣀⠀⠀⠀⠀⠉⠁⠀ ⠀⠀⠀⠀⠀⠁⠀⠀⠀⣀⠀⢀⣠⣶⡄⢹⣿⢿⣎⢿⣿⣟⢿⠿⠈⠁⠀⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⣿⣿⣿⣆⠐⢦⡉⠙⠆⠀⠀⠀⣣⣤⣸⣷⣄⣄⣀⢙⣵⣄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣨⡴⣶⣽⣷⡹⣿⡄⢿⣿⢿⠧⣛⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣧⠀⠳⠀⠀⠀⢀⣾⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⡟⣦⡄⢀ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣿⡽⣿⣿⣷⡹⡿⠛⢉⣴⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣷⣶⣦⡄⠎⠙⢧⠀⠀⠀⠀⠘⢿⣿⣿⣿⣷⡄⠀⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣱⣿⠇⡼ ⠐⠄⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠈⠻⣶⣾⣷⠆⠀⠀⠀⣠⣤⣶⣿⣦⡀⠀⠀⠀⠀⠀⠀⠻⡿⣿⣿⣿⣿⡔⠀⠘⣆⠀⣧⠀⠀⠈⢻⣿⣿⣿⣿⣦⠀⠙⢿⣿⡛⠚⠛⠛⠻⢿⣿⣿⣿⣿⢡⣿⡟⡘⣥ ⢰⠷⠶⣾⠿⢷⠷⠷⠿⠿⢷⠸⢸⢄⠀⡀⢠⡀⠀⠈⠉⠀⠀⠀⣰⣿⣿⣿⡿⠿⠛⠃⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡿⠓⠂⠀⠘⠂⣿⣿⣷⣆⠀⣿⣿⣿⣿⣿⣷⣄⠀⠘⣷⣦⡀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣶⣿⣿ ⠀⠀⠈⠙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣷⡙⠿⢿⣷⠌⠛⠖⠀⠀⠰⠂⠀⠀⠀⠀⠀⠀⠀⢹⠃⢻⣿⣿⣿⡇⠀⠀⠀⢨⣟⣿⡟⢸⣿⣦⣿⡆⠀⠀⠀⠀⣁⠽⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠿⠿⠷⠶⢀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⢿⣿⣿⡇⠀⠀⠀⠈⠉⠃⢀⣾⠋⢀⣿⣷⠖⠀⠀⠀⠀⠀⠀⠀⣤⣶⡿⠂⠀⠀⠀⠀⠁⠀⢀⣴⠛⢿⣧⣤⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠸⠿⣿⣶⣦⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣤⢸⣿⡿⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠉⠀⠀⠀⢀⠀⠀⠑⠀⣫⠟⠀⠀⠀⢀⣀⣀⣠⣴⣿⣿⠂⢸⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢻⣿⡿⠃⠀⠀⠀⠀⠀⠀⠄⠀⠀⠈⠙⢿⡁⠘⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢾⣿⠿⠟⠛⠋⠁⠀⣠⣤⣴⣿⣿⣿⣿⣿⣿⣿⣓⡘⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⣢⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠀⠈⡁⢀⡜⢿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠁⠀⠙⠀⠴⠦⠄⠂⠨⣾⠛⣿⣿⣿⠿⣻⣿⣿⣿⣿⡁⠀⠉⠉⠁ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠈⠂⠘⠟⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡠⣾⡻⠗⠱⠀⢻⣽⠾⠿⠿⠿⠯⠿⠟⠁⠀⠀⠀⠀ ⣿⣦⣄⣀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⣾⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣈⣬⡰⣷⣽⣷⡙⣻⡿⣷⡰⡆⢀⡀⠀⠀⠀⠀⢀⡀⣀⣔⣀⠀⠀ ⠉⠉⠉⠛⠀⢿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣿⣋⡙⣛⡿⣿⡄⠀⠀⠀⠀⣀⡠⣶⡼⣿⡽⣿⡽⣿⣿⣿⡝⠿⠛⣿⣿⣿⣿⢠⠞⠋⣰⣿⣿⣿⣿⡿⠃⠀ ⠀⠀⠀⠀⠀⠉⠈⠀⠀⢰⣶⣶⣿⣿⣿⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠙⣥⡶⣶⡹⣿⢿⣎⣭⣟⣿⡟⠛⠛⠀⢀⣠⣔⠿⣿⣏⠹⣿⡽⣿⣽⣿⠹⠓⠩⣾⠃⠀⠙⡿⠿⣷⣣⠄⠐⠛⠻⠿⠿⠿⠿⠖⠲ ⣷⣦⣄⣀⡀⡀⠀⠀⠰⣿⡿⠿⠛⠛⠻⠿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠁⠀⣠⣶⣦⠀⠹⣿⡿⠇⢻⣿⢻⠿⡉⢉⢐⡂⣴⣆⠘⣿⣿⣦⡘⣿⣆⠹⡿⠈⠉⠁⠂⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⠿⠉⠉⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⠀⠀⠀⢀⣠⣴⡾⠿⠿⣷⣶⣦⡐⡹⣿⠆⡾⣍⢐⣃⡳⣾⣿⣿⡜⣿⣆⢹⣷⡿⡷⠘⠋⠀⠀⠀⠀⠀⠀⠀⢾⣦⠠⢤⣼⠆⠄⠀⠀⠠⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢾⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣾⣟⣋⠹⣿⡄⠀⠰⣷⡿⢏⣿⠄⣀⣥⡄⣿⡿⣟⡜⣿⣿⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠙⢿⣾⣟⠂⡴⠄⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣀⠀⠀⠀⠀⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⣿⣟⣀⠹⡿⠄⠀⠀⠀⣨⣶⣶⡝⣿⣴⠽⣿⣟⣿⡜⣛⡛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠘⣁⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⡴⠦ ⠀⠻⣿⣿⣦⡀⠀⠈⣳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⢿⣧⣾⢟⣫⣵⢖⡢⣴⣆⠀⠘⣿⣾⣷⡜⣿⣶⠎⠛⠥⠶⠋⠁⠀⣀⠀⠀⠉⢢⣄⣤⠀⠀⠀⠀⠀⣴⣶⣀⣀⡄⠀⠀⠀⢿⣆⠀⠀⠀⠀⠈⠀⠐⠀⠀⠀⠀ ⠀⠀⠈⠙⠿⣿⣷⠀⠀⢶⠆⠀⠀⠀⠀⠀⠠⣶⣿⣿⣿⡿⢊⣩⣝⣾⣟⣿⣜⣿⣆⠀⠘⣿⡞⠛⠈⠐⠃⠀⠀⠀⣦⠀⠀⠉⠀⠀⢰⣻⣿⣿⣦⡀⠀⠀⠘⠻⣿⣿⣏⣡⠀⠀⠀⠀⠘⢳⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠄⡙⠉⠀⣛⡈⢶⡆⠀⠀⠀⡀⠀⠛⠻⣛⣏⢶⣟⣿⣧⡞⣿⣞⣿⡞⡿⠟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢋⣿⣿⣇⠀⢠⣿⣿⣬⡟⠺⢿⣇⡀⠂⢀⡀⠀⠈⠉⠋⠻⢷⣶⣦⡀⠀⠀ ⠀⠀⠀⠀⠀⠰⠐⠈⠉⠀⠈⠛⠀⠀⠸⣋⣤⡐⣿⣼⣿⣿⣿⡞⣿⣆⠘⠛⠛⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⠀⠿⣿⣟⣿⡧⠀⠀⠀⢱⠉⠚⠛⠳⢦⣀⠀⠀⠀⠀⠉⠛⠷⠀ ⠀⠀⠀⠀⠀⠁⠀⠀⠀⡤⠀⢀⣠⣶⡄⢹⣿⢿⣎⢿⣿⣟⢿⠿⠈⠁⠀⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⣽⣿⣿⣧⡰⢤⡉⠛⠆⠀⠀⠀⣣⣤⢸⣷⣄⣀⡀⠑⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⣶⣽⣷⡹⣿⡄⢿⣿⢿⠧⠛⡭⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠀⠀⠀⠀⠀⢀⣶⣤⣄⠀⠀⣀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣷⡈⠣⠀⠀⠀⢀⣾⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⡷⠶⣄⡀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣿⡽⣿⣿⣷⡹⡿⠛⢩⣶⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⣿⣯⣿⣿⣷⡌⠙⠧⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣄⠀⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣰⣿⡇⣾ ⠐⠄⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠈⢿⣿⠿⠋⠀⠀⠀⣠⣤⣶⣿⣦⠀⠀⠀⠀⠀⠀⠀⣤⣽⣿⣿⣿⣿⡗⠀⠘⣆⢀⣧⠀⠀⠀⠙⣿⣿⣿⣿⣷⡀⠙⢾⣟⠟⠛⠛⠟⢿⣿⣿⣿⣿⡿⢡⣿⡟⠘⣡ ⢰⠗⠶⣾⠿⢷⠷⠷⠿⠿⢷⠸⢸⢤⠀⡄⢠⡀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⡿⠿⠛⠃⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡟⠓⠀⠀⠘⠊⣿⣿⣶⣦⠀⣼⣿⣿⣿⣿⣿⣦⠀⠘⣷⣄⡀⠀⠀⠀⠀⠀⠀⠉⠙⠿⣶⣿⣿ ⠀⠀⠈⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡝⢿⣿⣷⡌⠛⠷⠀⠀⠰⠂⠀⠀⠀⠀⠀⠀⠀⢹⠃⢻⣿⣿⣿⡇⠀⠀⠀⢈⣿⣿⡟⢸⣿⣦⣿⡇⠀⠀⠀⠀⢁⣼⠆⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠿⢿⣿⣿⣤⡄⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠐⣿⣿⣿⣧⠀⠀⠀⠈⠙⠃⠀⣼⠋⠀⣿⣷⡖⠀⠀⠀⠀⠀⠀⠀⣠⣶⡦⠀⠀⠀⠀⠀⠀⢀⣼⣷⠚⢿⣇⣬⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠿⣿⣶⣶⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣀⢸⣿⣿⢿⡄⠀⠀⠀⠀⠀⠀⠁⠀⠘⠛⠉⠀⠀⠀⠀⠀⠀⠩⠀⣟⡽⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⠂⢰⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢻⣿⡿⠃⠀⠀⠀⠀⠀⠀⠄⠀⠀⠉⠙⣿⡁⠸⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⠿⠿⠟⠛⠁⠀⣀⣤⣤⣾⣿⣿⣿⣿⣿⡿⣗⡸⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⢲⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠀⠘⠁⢀⡙⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠃⠀⠙⠀⠴⡦⠄⠀⠨⣽⠿⣿⣿⣿⠿⣟⣿⣿⣿⣿⠁⠈⠙⠛⠋ ⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠘⠀⠘⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡠⣾⡻⠗⠱⠀⢛⣭⠶⠿⠿⢿⡿⠿⠟⠁⠀⠀⠀⠀ ⣿⣿⣿⣆⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⣾⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣀⣬⡰⣷⣽⣷⡙⣻⡿⣷⡰⡌⢁⡀⠀⠀⠀⠀⠀⡀⣀⣄⣀⠀⠀ ⣿⡿⠟⠛⠛⠿⠆⢼⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣿⣋⡙⣛⡿⣿⡄⠀⠀⠀⠀⣀⣠⣶⡼⣿⡽⣿⡽⣿⣿⣿⡝⠿⠻⣿⣿⣿⣿⢠⠶⠓⣰⢿⣿⣿⣿⡿⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠀⢀⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠙⣥⡶⣶⡹⣿⢿⣎⣭⣟⣿⡟⠛⠛⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠹⠓⠩⣾⠇⠀⠛⡿⢿⣷⣋⡀⠠⠟⠻⠿⠿⠿⠷⠖⠶ ⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠁⠀⣠⣶⣦⠀⠹⣿⡿⠇⢻⣿⢻⠿⡉⢉⢐⡀⣴⣆⠘⣿⣿⣦⡘⣿⣆⠹⡿⠈⠉⠁⠂⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠿⠿⠟⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠀⠀⠀⢀⣠⣴⡾⠿⠿⣷⣶⣦⡐⡹⣿⠄⣾⣍⢐⣃⡣⣾⣿⣿⡜⣿⣆⢹⣷⡿⡷⠘⠋⠀⠀⠀⠀⠀⠀⠀⣶⣦⠠⢤⡼⠆⠤⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢺⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣾⣟⣋⠹⣿⡄⠀⠰⣷⡿⢏⣿⠄⣀⣥⡄⣿⡿⣟⡜⣿⣿⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠈⠙⣿⣾⡟⠀⢠⠄⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣄⡀⠀⠀⠀⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⣿⣟⣀⠹⡿⠄⠀⠀⠀⣨⣶⣶⡝⣿⣴⠽⣿⣟⣿⡜⡛⡛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢻⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠦ ⠀⠻⣿⣿⣦⣀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⢿⣧⣾⢟⣫⣵⢖⡂⣴⣆⠀⠘⣿⣾⣷⡜⣿⣶⠎⠛⠥⠴⠋⠁⠀⡄⠀⠀⠈⢑⣦⣦⠀⠀⠀⠀⠀⣤⣤⣀⠀⠀⠀⠘⢿⣄⠀⠀⠀⠀⠀⠈⠁⠐⠀⠈⠀⠀ ⠀⠀⠀⠙⠿⣿⣷⠀⢀⢲⠆⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⡽⢞⣩⣕⣾⣟⣿⣜⣿⣆⠀⠘⣿⡞⠛⠈⠀⠃⠀⠀⠀⡦⠀⠀⠁⠀⠀⢰⡿⣿⣿⣷⡄⠀⠀⠘⠿⣿⣿⣄⣀⠀⠀⠀⠘⢻⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠉⠀⣉⡈⢶⡆⠀⠀⢀⢀⠀⠉⠛⣛⣍⢶⣟⣿⣧⡞⣿⣞⣿⡞⡿⠟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢉⣽⣿⣧⠀⢠⣿⣯⣭⡞⠿⢿⣃⡀⠄⠀⠀⠈⠉⠛⠻⠿⣷⣶⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⡰⠐⠈⠉⠀⠀⠛⠀⠀⠈⣋⣤⡐⣿⣼⣿⣿⣿⡞⣿⣆⠘⠛⠛⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⠀⠿⣿⡟⣿⡧⠀⠀⠀⢩⠛⠚⠗⢦⠀⠀⠀⠀⠀⠉⠛⢿⣷⡄ ⠀⠀⠀⠀⠀⠁⠀⠀⠀⢞⠁⢀⡠⣶⡄⢹⣿⢿⣎⢿⣿⣟⢿⠿⠈⠁⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⣼⣿⣿⣷⡐⣄⠈⠻⠂⠀⠀⠀⣁⣄⢸⣧⣀⣀⡑⠤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⣶⣽⣷⡹⣿⡄⢿⣿⢿⠧⠛⠹⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠀⠀⠀⠀⢠⣴⣿⣾⣷⣄⠀⣀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣷⡌⠢⠀⠀⠀⠀⣾⣿⣿⣷⣿⣿⣿⣿⣿⣿⣷⡶⠄⣀⡀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣿⡽⣿⣿⣷⡹⡿⠛⠩⢶⣄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣇⠙⠧⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣦⡀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣠⣿⡇⣾ ⠐⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠀⠹⢿⠛⠉⠀⠀⢀⣠⣤⣶⣷⣤⠀⠀⠀⠀⠀⠀⠀⣿⣶⣶⣿⣿⣿⡗⠀⠘⡄⢀⣄⠀⠀⠀⠈⢿⣿⣿⣿⣷⣄⠐⢾⣟⠿⠽⠿⠿⢿⣿⣿⣿⣿⡿⢡⣿⡟⡘⣡ ⢰⠗⠶⣾⠿⢷⠷⠷⠿⠿⢷⠸⢸⠤⠄⡆⣠⡀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⡿⠿⠛⠃⠀⠀⠀⠀⠀⣠⣟⣛⣛⣿⣿⡟⠒⠀⠀⠘⠊⣿⣿⣶⣷⠀⠸⣿⣿⣿⣿⣿⣦⡀⠻⣧⣄⠀⠀⠀⠀⠀⠀⠈⠉⠚⢿⣴⣿⣿ ⠀⠀⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣜⢿⣷⣶⡈⠙⠷⠀⠀⠠⠂⠀⠀⠀⠀⠀⠀⠀⢱⠁⢻⣿⣿⣿⡇⠀⠀⠀⢈⣟⣿⡿⢡⣿⣦⣿⡦⠀⠀⠀⠀⠋⢹⠆⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠿⢿⣿⣿⣿⣿⣇⠙⠛⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠈⢿⣿⣿⣿⠀⠀⠀⠈⠙⠃⠀⣼⠏⠁⣹⣷⡖⠀⠀⠀⠀⠀⠀⠀⣠⣀⠀⠀⠀⠀⠀⠀⢀⣰⣤⣴⠒⢿⣏⣨⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠃⣼⣷⣶⣦⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣀⢘⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠉⠀⠈⠛⠋⠀⠀⠀⠀⠀⠀⠸⠀⢛⡵⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⠆⢰⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠹⣿⡿⠃⠀⠀⠀⠀⠀⠀⠄⠀⠀⠉⠛⣿⡏⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠷⠿⠿⠛⠁⠀⢀⣀⣤⣴⣿⣿⣿⣿⣿⣿⢖⡸⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⢰⠀⠀⠀⠀⠀⠀⠈⠀⠐⠀⠀⠘⠃⠀⡙⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠃⠀⠙⠀⢤⣤⠀⠀⠠⣽⠿⣿⣿⣿⡿⢿⣯⣿⣾⣿⠃⠈⠙⠛⠋ ⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⠜⠠⠘⠿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡠⣾⡻⠗⠱⠀⢛⣯⣵⡾⢿⢿⣿⠿⠿⠃⠀⠀⠀⠀ ⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⣾⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣬⡰⣷⣽⣷⡙⣻⡿⣷⡰⡌⠁⡀⠀⠀⠀⠀⠀⡀⢀⡠⡀⠀⠀ ⣿⣿⣿⣿⣿⠿⢷⣶⡄⢰⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣿⣋⡙⣛⡿⣿⡄⠀⠀⠀⠀⣀⡠⣶⡼⣿⡽⣿⡽⣿⣿⣿⡝⠿⠻⣿⣿⣿⣿⠠⠴⠓⢰⢿⣷⣿⣿⡿⠇⠀ ⠛⠛⠋⠉⠀⠀⠀⠀⠀⠈⠛⠟⠀⠐⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠙⣥⡶⣶⡹⣿⢿⣎⣭⣟⣿⡟⠛⠛⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠹⠓⠩⣾⠇⠀⠻⡿⢿⣷⣊⡀⠠⠟⠿⠿⠿⠿⢷⡒⠶ ⣬⣟⣷⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣦⠀⠹⣿⡿⠇⢻⣿⢻⠿⡉⠉⢐⡀⣴⣆⠘⣿⣿⣦⠘⣿⣆⠹⡿⠈⠉⠁⠒⠀⠀⠁⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⠿⠿⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠀⠀⠀⢀⣠⣴⡾⠿⠽⣷⣶⣦⡀⡹⣿⠄⡮⣉⢐⣂⡣⣾⣽⣿⡜⣿⣆⢹⣷⡿⡷⠘⠋⠀⠀⠀⠀⠀⠀⠀⣴⣦⠠⣤⣼⠆⠀⠀⠀⢀⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢺⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣾⣟⣋⠹⣿⡄⠀⠰⣷⡿⢏⣿⠄⣀⣥⡄⣿⡽⢟⡜⣿⣿⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠈⠹⣿⣼⡟⠀⢠⠄⠀⠄⠌⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣄⡀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⣿⣟⣀⠹⡿⠄⠀⠀⠀⣨⣶⣶⡝⣿⣴⠽⣿⣟⣿⡜⡛⡛⠁⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠈⣻⡓⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡦ ⠀⠻⢿⣿⣦⣀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⢿⣧⣾⢟⣫⣵⢖⡢⣴⣆⠀⠘⣿⣾⣷⡜⣿⣶⠎⠛⠥⠴⠋⠁⠀⡀⠀⠀⠀⠙⣦⣶⡀⠀⠀⠀⢀⣤⡀⠀⠀⠀⠹⢧⣄⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠈⠁⠀ ⠀⠀⠀⠙⠻⣿⣷⠀⢀⢲⠂⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡽⢞⣫⣕⣾⣟⣿⣜⣿⣆⠀⠘⣿⡞⠛⠈⠀⠓⠀⠀⠠⡄⠀⠀⠁⠀⠀⠰⡻⣿⣿⣷⡄⠀⠀⠘⠿⣷⣄⡀⠀⠀⠀⠙⠿⣶⣦⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠁⠀⣉⠈⢶⡆⠀⠀⠀⣴⡄⠀⠍⣋⣍⢶⣟⣿⣧⡞⣿⣞⣿⡞⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢉⣽⣿⣷⠀⢀⣿⣦⣨⡚⠯⣽⣀⠀⠀⠀⠀⠉⠙⠛⠿⣿⣶⣄⣀⡀⠀⠀ ⠀⠀⠀⠀⠀⡐⠀⠈⠉⠀⡀⠛⠀⠀⠀⣉⣤⡐⣿⣼⣿⣿⣿⡞⣿⣆⠘⠛⠛⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⡀⠾⣿⠛⣿⡇⠀⠀⠈⠩⠒⠢⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣦⠀ ⠀⠀⠀⠀⠀⠁⠀⠀⠀⠘⠄⢀⡠⣶⡄⢹⣿⢿⣎⢿⣿⣟⢿⠿⠈⠁⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣀⣀⠀⠀⠀⢀⠀⠀⠀⠀⣸⣿⣿⣿⡄⣄⠈⠻⠄⠀⠀⠠⣁⣀⢰⣦⣀⣀⠀⠀⠀⠀⠀⠀⠈⠁⠑ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⣶⣽⣷⡹⣿⡄⢿⣿⢿⠧⠛⠩⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠀⠀⠀⠀⢐⣿⣿⡻⣿⣷⡀⡀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣌⠆⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⢄⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣿⡽⣿⣿⣷⡹⡿⠛⠉⠺⣤⣠⣠⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣛⡿⣿⣿⣿⣟⠙⠆⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣧⡀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢰⣿⡇⣶ ⠐⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠀⠘⠛⠉⠀⠀⠀⢀⣠⣤⣶⣷⣄⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠏⠀⠐⡄⢐⣄⠀⠀⠀⠈⢻⣿⣿⣿⣷⣌⠐⢮⡻⠿⠽⠿⠿⢿⣿⣿⣿⣿⡿⣡⣿⡟⠘⣡ ⢰⠗⠶⣾⠿⢷⠷⠷⠿⠿⠷⠸⢸⠰⠆⣇⣤⠀⠀⠀⠀⠀⢠⠟⣵⣿⣿⣿⡿⠟⠛⠂⠀⠀⠀⠀⠀⣴⣧⣭⣭⣿⣿⡟⠂⠀⠀⠙⠈⣿⣿⣶⣷⡀⠀⣻⣿⣿⣿⣿⣧⡈⠻⣦⣀⠀⠀⠀⠀⠉⠉⠉⠙⠺⢿⣴⣳⣿ ⠀⠈⠉⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⢰⣤⣀⣈⠉⠻⠀⠀⠠⠆⠀⠀⠀⠀⠀⠀⠀⢱⠁⢻⣿⣿⣿⣿⠀⠀⠀⢈⣟⢿⡿⢀⣿⣦⣿⡦⠀⠀⠀⠀⠋⢱⡆⠀⠁⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀ ⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⢿⣿⣿⣿⣿⣿⣷⡙⠿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠈⢻⣿⣿⣿⠀⠀⠀⠈⠙⠃⠀⣼⠟⠁⢹⣷⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⣠⣤⠴⢶⣞⣉⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠻⠿⠿⠷⣦⡄⣹⣷⣶⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⡀⠘⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠁⠀⠀⠛⠋⠀⠀⠀⠀⠀⠀⠸⠀⢃⡀⠀⠀⠀⠀⡠⢞⣿⣿⣿⣿⠆⢠⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠹⣿⣿⠃⠀⠀⠀⠀⠀⠀⠄⠀⠀⠙⠛⣿⡏⠐⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠷⠶⠶⠛⠋⠀⢀⣀⣠⣴⣿⣿⣿⣿⣿⣿⠶⡘⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⢰⠀⠀⠀⠀⠀⠀⠈⠀⠐⠀⠀⠘⠃⠀⠙⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠃⠀⠙⠀⢤⣤⠀⠀⠀⣽⠿⣿⣿⣿⡿⢿⣻⣽⣾⣿⠇⠈⠛⠛⠛ ⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎⠁⠘⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡠⣾⡻⠗⠱⠀⢛⣫⣵⡶⢿⠿⡟⠿⠿⠋⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⣾⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡰⣷⣽⣷⡙⣻⡿⣷⣠⡌⠁⠀⠀⠀⠀⠀⠀⠀⢀⡠⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⡀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣿⣋⡙⣛⡿⣿⡄⠀⠀⠀⠀⣀⡠⣶⡼⣿⡽⣿⡽⣿⣿⣿⡝⠿⠻⣿⣷⣾⣷⠠⠴⠒⢰⢿⣷⣿⣿⡿⠆⠀ ⠉⠛⠿⠿⠿⠛⠉⠀⠉⠙⠁⠺⢿⣿⠀⢸⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣥⡶⣶⡹⣿⢿⣎⣭⣟⣿⡟⠛⠋⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠹⠓⠩⣾⠇⠀⠹⣿⣿⣧⣊⡀⠠⠿⠾⠿⠿⠿⢷⡢⢤ ⠤⢀⣶⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣦⠀⠹⣿⡿⠇⢻⣿⢻⠿⡉⠉⢐⡀⣴⣆⠘⣿⣿⣦⠘⣿⣆⠹⡿⠈⠉⠁⠒⠀⠀⠉⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠸⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠀⠀⠀⢀⣠⣴⡾⠿⠽⣷⣶⣦⡀⡹⣿⠄⡮⣉⢐⣂⡣⣾⣽⣿⡜⣿⣆⢹⣷⡿⡷⠘⠋⠀⠀⠀⠀⠀⠀⠀⣴⣦⠠⣀⣴⠄⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢺⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣾⣟⣋⠹⣿⡄⠀⠰⣷⡿⢏⣿⠄⣀⣥⡄⣿⡽⢟⡜⣿⣿⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠈⠻⣷⣼⡟⠀⢠⡀⠀⠄⠈⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣤⡀⠀⠀⠀⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⣿⣟⣀⠹⡿⠄⠀⠀⠀⣨⣶⣶⡝⣿⣴⠽⣿⣟⣿⡜⡛⡛⠁⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⣿⠻⠗⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤ ⠀⠚⢿⣿⣷⣄⠀⠀⠷⠄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⢿⣧⣾⣟⣫⣵⢖⡢⣴⣆⠀⠘⣿⣾⣷⡜⣿⣶⠎⠛⠥⠴⠋⠁⠀⡀⠀⠀⠠⠈⣶⣷⡀⠀⠀⠀⢀⠀⠀⠀⠀⠙⠷⣄⡀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠁⠀ ⠀⠀⠀⠙⠻⣿⣷⠀⢀⢲⠂⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⡽⢞⣫⣕⣾⣟⣿⣜⣿⣆⠀⠘⣿⡞⠛⠈⠀⠓⠀⠀⠀⡄⠀⠀⠁⠀⠀⠰⣻⣿⣿⣿⣆⠀⠀⠘⢶⣤⣀⡀⠀⠀⠙⠻⢷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠁⢀⣉⠈⢶⡆⠀⠀⠀⣤⣦⠀⠈⣉⣍⢶⣟⣿⣧⡜⣿⣞⣿⡞⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⣽⣿⣿⠀⢠⣿⣆⡬⠛⠯⣖⣀⠀⠀⠀⠈⠉⠛⠻⣿⣷⣦⣄⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⡐⠈⠀⠈⢀⠀⠛⠀⠀⠀⣈⣥⡐⣿⣼⣿⣿⣿⡞⣿⣆⠘⠛⠋⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡆⠾⣿⠻⢿⡀⠀⠀⠈⠡⠒⠄⠀⠀⠀⠀⠀⠉⠻⢿⣿⣷⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⢀⡠⣶⡄⠹⣿⢿⣎⢿⣿⣟⢿⠿⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣶⣦⡀⠀⠀⢀⠀⠀⠀⠀⢰⣿⣿⣿⣆⣀⠈⠳⠀⠀⠀⠠⣁⣀⢰⣦⡀⡀⠀⠀⠀⠀⠀⠈⠉⠋⠳ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⣶⣽⣷⡹⣿⡄⢿⣿⢿⠧⠛⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣎⠆⠀⠀⠀⠀⣾⣿⣿⣮⣿⣿⣿⣿⣿⣶⣤⣄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣿⡽⣿⣿⣷⡹⡿⠛⠉⠐⢦⣠⣤⡶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣭⣭⣿⣿⣿⡿⠙⠆⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣷⡀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢰⣷⡆⣦ ⠐⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠀⠀⠛⠉⠀⠀⠁⣿⣾⣤⣶⣷⣄⠀⠀⠀⠀⠀⠀⠀⡿⠿⠿⣿⣿⣿⠁⠀⠐⡄⢐⡄⠀⠀⠀⠀⠹⣿⣿⣿⣿⣆⠲⣼⡿⠿⠽⠿⠿⢿⣿⣿⣿⣿⡿⢡⣿⡟⠘⣡ ⠰⠖⠶⣾⠿⢷⠷⠷⠿⠿⠷⠸⢸⠰⠇⣇⣤⠀⠀⠀⠀⠀⣐⣠⣤⠛⠋⠙⠻⠟⠛⠀⠀⠀⠀⠀⠀⣾⣷⡶⢶⣿⣿⣯⠀⠀⠀⠑⠈⣿⣿⣶⣷⡄⠀⠹⣿⣿⣿⣿⣷⡌⢻⣦⡀⠀⠀⠈⠉⠉⠉⠉⠓⠿⣿⣴⣺⣿ ⠀⠘⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣆⠀⣄⠀⠈⠉⠻⠀⠀⠠⠂⠀⠀⠀⠀⠀⠀⠀⢡⠀⠹⣿⣿⣿⣿⠀⠀⠀⠀⣟⣿⡿⠁⣿⣦⣿⡦⠀⠀⠀⠀⠋⢰⡆⠀⠉⠉⠀⠀⠒⠒⠂⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⣮⣲⣶⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⢻⣿⣿⣿⠀⠀⠀⠀⠙⠃⠀⣰⡟⠉⢹⣷⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣀⣀⣠⣤⣤⣔⣶⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣿⣧⡙⠛⢿⣷⣦⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠈⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠉⠀⠀⠻⠛⠁⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⢀⣴⢚⣿⣿⣿⣿⠆⢀⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠓⢰⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⣿⡟⠁⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⡷⢶⠶⠟⠃⠀⠀⢀⣀⣩⣾⣿⣿⣿⣿⣿⡦⠘⣿⣿⣿⣿ ⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠐⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠗⠀⠙⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠙⠀⢤⣤⠀⠀⠀⣽⠿⣿⣿⣿⣿⠿⣛⣭⣷⣿⠇⠈⠛⠿⠛ ⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⠆⠈⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡠⣾⡻⠗⠹⠀⢚⣛⣭⡶⢿⢿⡟⢿⡿⠃⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⡀⣾⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡰⣷⣽⣷⡙⣻⡿⣷⣠⡌⠉⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣿⣋⡙⣛⡿⣿⡄⠀⠀⠀⠀⣀⡠⣶⡼⣿⡽⣿⡽⣿⣿⣿⡝⠿⢻⣿⣷⣾⣷⠀⠤⠖⢠⢾⣶⣿⣿⣿⡆⠀ ⠙⠛⠛⠿⣿⣿⣿⠿⠟⠛⠻⠿⠆⢼⣷⡦⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣥⡶⣶⡹⣿⢿⣎⣭⣟⣿⡟⠛⠋⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠹⠓⣩⣶⠇⠀⠻⣿⣿⣯⢊⡀⠀⠾⢾⣿⣿⣿⣷⡤⢤ ⠃⠲⣶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⢙⣿⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣦⠀⠹⣿⡿⠇⢻⣿⢻⠿⡉⠉⢐⡀⣴⣆⠘⣿⣿⣦⠘⣿⣆⠹⡿⠈⠉⠁⠂⠀⠀⠉⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐ ⠀⠀⠻⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠀⠀⢀⣠⣴⡾⠿⠽⢷⣶⣦⡀⡹⣿⠄⡮⣉⢐⣂⡣⣶⣽⣿⡜⣿⣆⢹⣷⡿⡷⠘⠋⠀⠀⠀⠀⠀⠀⠀⣴⣤⢠⣀⣰⠄⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢺⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣾⣟⣋⠹⣿⡄⠀⠰⣷⡿⢏⡿⠄⣀⣥⡄⣿⡽⢟⡜⣿⣿⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⢀⠰⠀⠈⡻⣷⣴⡟⠀⢀⡀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣤⣀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⢿⣟⣀⠹⡿⠄⠀⠀⠀⣨⣶⣶⡝⣿⣴⠽⣿⣟⣿⡜⡛⡛⠁⠀⠀⠀⠠⢄⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⣿⡌⠻⠗⠰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄ ⠀⠙⢿⣿⣧⣄⠀⠀⠷⠄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⢿⣧⣾⢟⣫⣵⢖⡢⣴⣆⠀⠘⣿⣾⣷⡜⣿⣶⠎⠛⠥⠴⠋⠁⠀⡀⠀⠀⠠⠀⣷⣷⡄⠀⠀⠀⠀⠀⠀⠀⠈⢛⣦⣄⡀⠀⠀⠀⠀⠀⠀⠈⠂⠠⠀⠀⠉⠀ ⠀⠀⠀⠈⠻⢿⣷⠀⢀⢲⠂⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣽⢞⣻⣕⣾⣟⣿⣜⣿⣆⠀⠘⣿⡞⠛⠈⠀⠓⠀⠀⠀⡄⠀⠀⠃⠀⠀⠀⣯⣻⣿⣷⣧⠀⠀⠐⢦⣤⡀⠀⠀⠈⠛⠿⢷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠁⢀⣉⠈⢶⡆⠀⠀⠀⢰⣶⠄⠈⣉⣍⢶⣟⣿⣧⡜⣿⣞⣿⡞⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⣼⣿⣿⠀⢀⣶⠆⢘⠫⢥⣂⡀⠀⠀⠀⠉⠉⠛⢿⣿⣷⣦⣄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠐⠀⠀⠈⠀⡄⠛⠀⠀⠀⣀⣭⡐⣿⣼⣿⣿⣿⡞⣿⣆⠘⠛⠋⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣆⠾⣟⠻⢷⠂⠀⠀⠉⠡⠂⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣦⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣶⡄⢹⣿⢿⣎⢿⣿⣟⢿⠿⠈⠁⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠠⣶⡾⣿⣷⣆⠀⠀⢀⠀⠀⠀⠀⢰⣿⣿⣿⣦⣀⠈⠂⠀⠀⠀⠠⣁⡀⢰⣄⠀⠀⠀⠀⠀⠀⠈⠉⠛⠙⠷ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⣶⣽⣷⡹⣿⡄⢿⣿⢿⠧⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠀⠀⠀⠀⠘⣿⣿⣷⣿⣿⣇⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣮⡄⠀⠀⠀⠀⣾⣿⣿⣮⣿⣿⣿⣷⣶⣤⣀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣿⡽⣿⣿⣷⡹⡿⠛⠉⠀⠳⠀⣤⡶⠆⠀⢠⣦⣼⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣶⣶⣿⣿⣿⡟⠻⡆⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣷⡄⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢰⣶⡄⡤ ⠐⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡘⠻⠋⠙⢳⣄⠀⠀⠀⠀⠀⠀⢀⡟⠛⠻⣿⣿⡟⠀⠀⠰⡀⢐⡀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣦⠢⣜⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⡿⢡⣿⡟⠐⣡ ⠰⠖⠶⣾⠿⢷⠷⠶⠿⠿⠷⠸⢸⠰⠇⣇⣤⠀⠀⠀⠀⣠⣶⣿⣿⠁⠀⣠⡾⠟⠛⠀⠀⠀⠀⠀⠀⣿⣿⣟⣻⣿⣿⣿⠀⠀⠀⠳⠘⣿⣶⣶⣷⡄⠀⠙⣿⣿⣿⣿⣷⣌⢷⣄⡀⠀⠀⠈⠉⠉⠉⠙⠓⠽⣿⣰⣲⣿ ⠀⠘⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣆⠀⣄⠀⠈⠉⠻⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⢡⠀⠹⣿⣿⣿⣿⠀⠀⠀⠀⣟⣿⡿⠃⣿⣦⣿⡦⠀⠀⠀⠀⠋⢰⡆⠀⠉⠉⠀⠀⠒⠒⠂⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⣮⣲⣶⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⢻⣿⣿⣿⠀⠀⠀⠀⠙⠃⠀⣰⡟⠉⢹⣷⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣀⣀⣠⣤⣤⣔⣶⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣿⣧⡙⠛⠿⣷⣦⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠘⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠋⠁⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⢀⣴⢚⣿⣿⣿⣿⠆⢀⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠓⢰⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⣿⡟⠁⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⠷⢶⠶⠟⠃⠀⠀⢀⣀⣩⣾⣿⣿⣿⣿⣿⡦⠘⣿⣿⣿⣿ ⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠐⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠗⠀⠙⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠃⠈⠙⠀⢤⣤⠀⠀⢀⣽⠿⣿⣿⣿⣿⠿⣻⣭⣷⣿⠇⠈⠛⠿⠛ ⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⠆⠘⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡠⣾⡻⠗⠹⠀⢚⣻⣭⣶⢿⡿⡟⢿⡿⠃⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⡀⣾⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡰⣷⣽⣷⡙⣻⡿⣷⣠⡌⠉⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣿⣋⡙⣛⡿⣿⡄⠀⠀⠀⠀⣀⡠⣶⡼⣿⡽⣿⡽⣿⣿⣿⡝⠿⢻⣿⣷⣾⣷⠀⡤⠖⢠⢾⣶⣿⣿⣿⡆⠀ ⠙⠛⠛⠿⣿⣿⣿⠿⠟⠛⠻⠿⠆⢼⣷⡦⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣥⡶⣶⡹⣿⢿⣎⣭⣟⣿⡟⠛⠋⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠹⠓⣩⣶⠇⠀⠻⣿⣿⣯⢊⡀⠀⠾⢾⣿⣿⣿⣷⡤⢤ ⠃⠶⣶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⢙⣿⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣦⠀⠹⣿⡿⠇⢻⣿⢻⠿⡉⠉⢐⡀⣴⣆⠘⣿⣿⣦⠘⣿⣆⠹⡿⠈⠉⠁⠂⠀⠀⠉⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐ ⠀⠀⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠀⠀⢀⣠⣴⡾⠿⠽⢷⣶⣦⡀⡹⣿⠄⡮⣉⢐⣂⡣⣶⣽⣿⡜⣿⣆⢹⣷⡿⡷⠘⠋⠀⠀⠀⠀⠀⠀⠀⣴⣤⢠⣀⣰⠄⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢺⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣾⣟⣋⠹⣿⡄⠀⠰⣷⡿⢏⣿⠄⣀⣥⡄⣿⡽⢟⡜⣿⣿⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⢀⠰⠀⠈⡻⣷⣴⡿⠀⢀⡀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣤⣀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⢿⣟⣀⠹⡿⠄⠀⠀⠀⣨⣶⣶⡝⣿⣴⠽⣿⣟⣿⡜⡛⡛⠁⠀⠀⠀⠠⢄⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⣿⡌⠻⠗⠰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄ ⠀⠙⢿⣿⣧⣄⠀⠀⠷⠄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⢿⣧⣾⢟⣫⣵⢖⡂⣴⣆⠀⠘⣿⣾⣷⡜⣿⣶⠎⠛⠥⠴⠋⠁⠀⡀⠀⠀⠠⠀⣷⣷⡄⠀⠀⠀⠀⠀⠀⠀⠈⢛⣦⣄⡀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠀⠀⠉⠀ ⠀⠀⠀⠈⠻⢿⣷⠀⢀⢲⠂⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡽⢞⣻⣕⣾⣟⣿⣜⣿⣆⠀⠘⣿⡞⠛⠈⠀⠓⠀⠀⠀⡄⠀⠀⠃⠀⠀⠀⣯⣻⣿⣷⣧⠀⠀⠘⢦⣤⡀⠀⠀⠈⠛⠿⢷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠁⢀⣉⠈⢶⡆⠀⠀⠀⢰⣶⠄⠈⣉⣍⢶⣟⣿⣧⡜⣿⣞⣿⡞⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⣼⣿⣿⠀⢀⣶⠂⢘⠫⢥⣂⡀⠀⠀⠀⠉⠙⠻⢿⣿⣷⣦⣄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠐⠀⠀⠈⠀⡄⠛⠀⠀⠀⣀⣭⡐⣿⣼⣿⣿⣿⡞⣿⣆⠘⠛⠋⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣆⠾⣟⠻⢿⠀⠀⠀⠉⠡⠂⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣦⡐⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣶⡄⠹⣿⢿⣎⢿⣿⣟⢿⠿⠈⠁⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠠⣾⠾⣿⣷⣆⠀⠀⢀⠀⠀⠀⠀⢰⣿⣿⣿⣦⣀⠈⠃⠀⠀⠀⠠⣁⡀⢰⣄⠀⠀⠀⠀⠀⠀⠀⠉⠛⠙⠷ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⣶⣽⣷⡹⣿⡄⢿⣿⢿⠧⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠀⠀⠀⠀⠘⣿⣿⣷⣿⣿⣇⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣮⡄⠀⠀⠀⠀⣾⣿⣿⣮⣿⣿⣿⣷⣶⣤⣀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣿⡽⣿⣿⣷⡹⡿⠛⠉⠀⠳⠀⣤⡶⠆⠀⢀⣦⣼⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣶⣶⣿⣿⣿⡟⠻⡆⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣷⡄⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢰⣶⡄⡤ ⠐⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡘⠻⠋⠙⢳⣄⠀⠀⠀⠀⠀⠀⢀⡟⠛⠻⣿⣿⣿⠀⠀⠰⡀⢐⡄⠀⠀⠀⠀⠹⣿⣿⣿⣿⣦⠢⣜⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⡿⢡⣿⡟⠐⣡ ⠰⠖⠶⣾⠿⢷⠷⠷⠿⠿⠷⠸⢸⠰⠇⣇⣤⠀⠀⠀⠀⣠⣶⣿⣿⠁⠀⣠⡼⠟⠛⠀⠀⠀⠀⠀⠀⣿⣿⣟⣻⣿⣿⣿⠀⠀⠀⠳⠘⣿⣾⣶⣷⡄⠀⠙⣿⣿⣿⣿⣷⣌⢷⣄⡀⠀⠀⠈⠉⠉⠉⠙⠓⠽⣿⣰⣲⣿ ⠀⠘⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣆⠀⣄⠀⠈⠉⠻⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⢡⠀⠹⣿⣿⣿⣿⠀⠀⠀⠀⣟⣿⡿⠃⣿⣦⣿⡦⠀⠀⠀⠀⠋⢰⡆⠀⠉⠉⠀⠀⠒⠒⠂⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⣮⣲⣶⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⢹⣿⣿⣿⠀⠀⠀⠀⠙⠃⠀⣰⡟⠉⢹⣷⡶⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣀⣀⣠⣤⣤⣔⣶⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣿⣧⡙⠻⠿⣷⣦⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠘⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠁⠀⠀⠛⠛⠁⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⢀⣴⢚⣿⣿⣿⣿⠆⢀⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠓⢰⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⣿⡟⠁⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⠷⠶⠶⠟⠃⠀⠀⢀⣀⣩⣾⣿⣿⣿⣿⣿⡦⠘⣿⣿⣿⣿ ⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠐⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠗⠀⠙⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠈⠙⠀⢤⣤⠀⠀⠀⣽⠿⣿⣿⣿⣿⠿⣛⣭⣷⣿⠇⠈⠛⠿⠛ ⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⠆⠈⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡠⣾⡻⠗⠹⠀⢚⣻⣭⡶⢿⢿⡛⡿⡿⠃⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⡀⣾⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡰⣷⣽⣷⡙⣻⡿⣷⣠⡌⠉⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣿⣋⡙⣛⡿⣿⡄⠀⠀⠀⠀⣀⡠⣶⡼⣿⡽⣿⡽⣿⣿⣿⡝⠿⢻⣿⣷⣾⣷⠀⡤⠖⢠⢾⣶⣿⣿⣿⡆⠀ ⠙⠛⠛⠿⣿⣿⣿⠿⠟⠛⠻⠿⠆⢼⣷⡦⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣥⡶⣶⡹⣿⢿⣎⣭⣟⣿⡟⠛⠋⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠹⠓⣩⣶⠇⠀⠻⣿⣿⣯⢊⡀⠠⠾⢾⣿⣿⣿⣷⡤⢤ ⠃⠶⣶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⢙⣿⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣦⠀⠹⣿⡿⠇⢻⣿⢻⠿⡉⠉⢐⡀⣴⣆⠘⣿⣿⣦⠘⣿⣆⠹⡿⠈⠉⠁⠂⠀⠀⠉⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐ ⠀⠀⠻⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠀⠀⢀⣠⣴⡾⠿⠽⢷⣶⣦⡀⡹⣿⠄⡮⣉⢐⣂⡣⣶⣽⣿⡜⣿⣆⢹⣷⡿⡷⠘⠋⠀⠀⠀⠀⠀⠀⠀⣴⣤⢠⣀⣰⠄⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢺⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣾⣟⣋⠹⣿⡄⠀⠰⣷⡿⢏⡿⠄⣀⣥⡄⣿⡽⢟⡜⣿⣿⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⢀⠰⠀⠈⡻⣷⣴⡿⠀⢀⡀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣤⣀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⢿⣟⣀⠹⡿⠄⠀⠀⠀⣨⣶⣶⡝⣿⣴⠽⣿⣟⣿⡜⡛⡛⠁⠀⠀⠀⠠⢄⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⣿⡌⠻⠗⠰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄ ⠀⠙⢿⣿⣧⣄⠀⠀⠷⠄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⢿⣧⣾⣟⣫⣵⢖⡢⣴⣆⠀⠘⣿⣾⣷⡜⣿⣶⠎⠛⠥⠴⠋⠁⠀⡀⠀⠀⠠⠀⣷⣷⡄⠀⠀⠀⠀⠀⠀⠀⠈⢛⣦⣄⡀⠀⠀⠀⠀⠀⠀⠘⠂⠀⠀⠀⠉⠀ ⠀⠀⠀⠈⠻⣿⣷⠀⢀⢲⠂⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣽⢞⣻⣕⣾⣟⣿⣜⣿⣆⠀⠘⣿⡞⠛⠈⠀⠓⠀⠀⠀⡄⠀⠀⠃⠀⠀⠀⣯⣻⣿⣷⣧⠀⠀⠘⢦⣤⡀⠀⠀⠈⠛⠿⢷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠁⢀⣉⠈⢶⡆⠀⠀⠀⢰⣶⠄⠈⣉⣍⢶⣟⣿⣧⡜⣿⣞⣿⡞⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⣽⣿⣿⠀⢀⣶⠆⣘⠫⢥⣂⡀⠀⠀⠀⠉⠙⠻⢿⣿⣷⣦⣄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠐⠈⠀⠈⠀⡄⠛⠀⠀⠀⣀⣭⡐⣿⣼⣿⣿⣿⡞⣿⣆⠘⠛⠋⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣆⠾⣟⠻⢿⠀⠀⠀⠉⠡⠂⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣦⡐⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣶⡄⢹⣿⢿⣎⢿⣿⣟⢿⠿⠈⠁⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠠⣾⠾⣿⣷⣆⠀⠀⢀⠀⠀⠀⠀⢰⣿⣿⣿⣦⣀⠈⠣⠀⠀⠀⠠⢁⡀⢰⣄⠀⠀⠀⠀⠀⠀⠈⠉⠛⠙⠷ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⣶⣽⣷⡹⣿⡄⢿⣿⢿⠧⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠀⠀⠀⠀⠘⣿⣿⣷⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣮⡄⠀⠀⠀⠀⣾⣿⣿⣮⣿⣿⣿⣷⣶⣤⣀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣿⡽⣿⣿⣷⡹⡿⠛⠉⠀⠳⠀⣤⡶⠆⠀⢀⣦⣜⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣶⣶⣿⣿⣿⡟⠻⡆⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣷⡄⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢰⣶⡆⡤ ⠐⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡘⠻⠋⠙⢳⣄⠀⠀⠀⠀⠀⠀⢀⡟⠛⠻⣿⣿⣟⠀⠀⠰⡀⢐⡀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣦⠢⣜⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⡿⢡⣿⡟⠐⣡ ⠰⠖⠶⣾⠿⢷⠷⠷⠿⠿⠷⠸⢸⠰⠇⣇⣤⠀⠀⠀⠀⣠⣶⣿⣿⠁⠀⣠⡼⠟⠛⠀⠀⠀⠀⠀⠀⣿⣿⣟⣻⣿⣿⣿⠀⠀⠀⠳⠘⣿⣾⣶⣷⡄⠀⠙⣿⣿⣿⣿⣷⣌⢷⣄⡀⠀⠀⠈⠉⠉⠉⠙⠓⠽⣿⣰⣲⣿ ⠈⠛⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⠡⡀⢀⠀⠀⠉⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⠀⠹⣿⣿⣿⣿⠀⠀⠀⠀⣉⢻⡿⠃⣿⣤⣽⡦⠀⠀⠀⠀⠋⢠⠉⠁⠙⠀⠀⠴⣦⡤⠀⠀⠒⠈⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡧⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⠀⠀⠀⠀⠉⠃⠀⣰⡟⠉⢙⣷⡶⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠻⢿⣿⣿⣿⣿⣎⠻⣿⣿⣷⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠉⠀⠀⠻⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠼⠶⣶⣶⣾⣿⡏⢉⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠿⠿⣦⣄⠙⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠲⣿⡿⠋⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⡷⣶⡶⠆⠀⠀⠀⠀⣚⣩⣶⣿⣿⣿⣿⣿⡦⠘⣿⣿⣿⣿ ⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠿⠋⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠷⠀⠙⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠈⠛⠀⢤⣤⠀⠀⠀⣺⡿⣿⣿⣿⣿⠿⢟⣯⣷⣾⠇⠉⠻⠿⠟ ⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠎⠈⠿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⣾⡻⠗⠩⠀⠺⣛⣭⣴⣾⣿⠟⢿⡿⠂⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⡁⣾⣻⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡰⣷⣽⣷⡙⣻⡿⣷⣠⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣿⣋⡙⣛⡿⣿⡄⠀⠀⠀⠀⢀⡠⣶⡼⣿⡽⣿⡽⣿⣿⣿⡝⠿⢻⣷⣷⣶⣷⠀⡤⠆⢠⢶⣦⣾⣷⣷⡆⠀ ⠛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡿⠿⣶⣦⠀⢴⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣥⡶⣶⡹⣿⢿⣎⣭⣟⣿⡟⠛⠋⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠹⠓⢩⣴⡆⠀⠻⣿⣿⣯⠀⠀⢀⡼⢾⣿⣿⣿⣧⠤⣤ ⣶⣶⣶⣤⣤⣌⣉⠛⠉⠁⠀⠀⠀⠈⠀⠉⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣦⠀⠹⣿⡿⠇⢻⣿⢻⠿⡉⠉⢐⡀⣴⣄⠘⣿⣿⣦⠘⣿⣆⠹⠿⠈⠉⠀⠂⠀⠀⠉⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠁⠐ ⠀⠘⠻⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡾⠿⠽⢷⣶⣦⡀⡹⣿⠄⡬⣉⢐⣂⡣⣶⣽⣿⡜⣿⣆⢹⣷⡿⡷⠘⠋⠀⠀⠀⠀⠀⠀⠀⣰⣄⢀⣀⣠⡄⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣾⣟⣋⠹⣿⡄⠀⠰⣷⡿⢏⡿⠄⣀⣥⡄⣿⡽⢟⡜⣿⣿⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠠⢀⡒⠀⣌⠹⣶⣴⡶⠀⢀⡀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣤⣀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⢿⣟⣀⠹⡿⠄⠀⠀⠀⣨⣶⣶⡝⣿⣴⠽⣿⣟⣿⡜⠛⡛⠁⠀⠀⠀⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡆⠈⠻⠇⠰⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄ ⠀⠘⢿⣿⣷⣄⠀⠀⠷⠄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⢿⣧⣾⢟⣋⡵⢖⡂⣴⣆⠀⠘⣿⣾⣷⡜⣿⣶⠎⠛⠥⠴⠋⠁⠀⡀⠀⠀⠀⠄⣹⣿⣆⠀⠀⠀⠀⠀⠀⠀⠹⢷⣤⣄⡀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠈⠀ ⠀⠀⠀⠈⠛⣿⣷⠀⢀⢲⠂⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⡭⢞⣻⣕⣾⣟⣿⣜⣿⣆⠀⠘⣿⡞⠛⠈⠐⠓⠀⠀⠀⡄⠀⠀⠁⠀⠀⠀⢏⣻⣿⣿⣷⠀⠀⠐⢤⣄⡀⠀⠀⠉⠛⢿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠁⠀⣁⠈⢶⡆⠀⠀⠀⠠⣾⠆⠀⣉⣍⢶⣟⣿⣧⡜⣿⣞⣿⡞⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣴⣿⣿⡄⢀⣶⠀⠘⠯⢴⣀⠀⠀⠀⠈⠙⠛⠿⣿⣿⣶⣦⣄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠓⠀⠀⠀⣀⣬⡐⣿⣼⣿⣿⣿⡞⣿⣆⠘⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣇⠼⡟⠻⢷⠀⠀⠀⠉⠣⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣦⡂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⡠⣶⡀⢹⣿⢿⣎⢿⣿⣟⢿⠿⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣛⣛⡿⣿⣷⡀⠀⢀⠀⠀⠀⠀⢰⣿⣿⣿⣦⡀⠀⠂⠀⠀⠀⠠⢁⡀⢰⣀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠸⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⣶⣽⣷⡹⣿⡄⢿⣿⢿⠧⠛⠉⠀⠀⠀⠀⢀⡁⠚⣤⠀⠀⠉⠒⠀⠀⠀⠀⢈⠿⠿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⡄⠀⠀⠀⠀⣾⣿⣿⣬⣿⣿⣿⣶⣦⣄⣀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣿⡽⣿⣿⣷⡹⡿⠛⠉⠀⠑⠀⢠⡶⠂⠀⠀⠳⠿⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠟⠻⡄⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣷⡄⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢠⣶⡄⣄ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⡟⠀⠀⢀⣴⣄⠀⠀⠀⠀⠀⠀⣠⣟⣛⣛⣻⣿⣏⠀⠀⠰⡀⢐⡀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣦⡠⣜⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢡⣿⡟⠐⢡ ⠰⠖⠶⣶⠿⢷⠷⠶⠿⠿⠷⠰⢸⠠⠆⠀⣀⠀⠀⠀⢀⣴⣿⣿⣿⡇⣠⣴⠿⠟⠛⠀⠀⠀⠀⠀⠀⣿⣿⣿⣛⣿⣿⣿⠀⠀⠀⠣⠸⣿⣶⣶⣦⡀⠀⠘⣿⣿⣿⣿⣷⣌⢷⣄⠀⠀⠀⠈⠉⠉⠙⠛⠳⢽⣿⣠⢰⣿ ⠈⠻⠿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠘⢄⢀⡀⠀⠈⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠁⠸⣿⣿⣿⣿⠀⠀⠀⠀⣉⢻⡿⠃⣾⣤⣼⣦⠀⠈⠀⠀⠐⠀⠌⠣⠏⠁⣀⣤⣀⡀⠀⠠⠤⠔⠒⠈⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠉⠉⠿⢿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡄⠀⠀⠀⠉⠃⠀⢠⡿⠋⠉⣷⡤⠀⠀⠀⠈⠀⠀⠀⠐⠊⠀⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⠿⢿⣿⣿⣿⣿⣿⡕⢶⣶⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⢿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠉⠀⠀⠺⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣦⣄⣤⣤⣤⣶⡶⠒⣶⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⡀⠙⠻⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠐⠶⣾⣿⠋⣼⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⣶⡆⠀⠀⠀⠀⡠⢞⣡⣴⣿⣿⣿⣿⣿⡦⠘⣿⣿⣿⣿ ⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠙⠳⠀⡼⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠷⠀⠙⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠈⠛⠀⢠⣄⠀⠀⠀⣠⣿⣿⣿⣿⣿⡿⢟⣻⣽⣶⠆⠙⠻⠿⠿ ⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠖⠘⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⣾⡻⠗⠱⠀⠺⢟⣫⣵⣾⣿⠻⢿⡿⠆⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡁⣾⣻⡗⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡰⣷⣽⣷⡙⣻⡿⣷⣠⡈⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣿⣋⡙⣛⡿⣿⡄⠀⠀⠀⠀⢀⡠⣶⡼⣿⡽⣿⡽⣿⣿⣿⡝⠿⢻⣶⣷⣶⣷⠀⡀⠤⢠⢰⣦⣾⣷⣶⡄⠀ ⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⣀⠀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣥⡶⣶⡹⣿⢿⣎⣭⣟⣿⡟⠛⠋⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠹⠓⢩⣴⡆⠀⠻⣿⣿⣯⠀⠀⢀⡼⢼⣿⣿⣿⣧⠤⣀ ⣤⣤⣤⣤⣄⣈⣉⠛⠿⠿⠛⠋⠁⠈⠉⠋⠀⠋⢹⠃⠀⠀⠀⠀⠀⠀⠀⣠⣶⣦⠀⠹⣿⡿⠃⢻⣿⢻⠿⡉⠉⢀⡀⣴⣄⠘⣿⣿⣦⠘⣿⣆⠹⠿⠈⠉⠀⠂⠀⠀⠉⠀⠀⠀⠁⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠐ ⠑⡾⠿⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡾⠿⠽⢷⣶⣦⡀⡹⣿⠄⡬⡉⢐⣂⡣⣶⡽⣿⡜⣿⣆⢹⣷⡿⡷⠘⠋⠀⠀⠀⠀⠀⠀⠀⣠⣄⢀⣀⣠⡄⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣾⣟⣋⠹⣿⡄⠀⠰⣷⡿⢃⡿⠀⣀⣥⡄⣿⡽⢟⡜⣿⣟⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⠐⢠⠀⠀⢤⠈⠻⣶⣤⡶⠀⢀⡀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣤⣀⠀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⢿⣟⣀⠹⡿⠄⠀⠀⠀⣨⣶⣶⡝⣿⣴⠽⣿⣟⣿⡜⠛⡛⠁⠀⠀⠀⠀⠤⡀⠀⠀⠀⠀⠀⠀⠀⠹⣧⡀⠈⠻⠧⠠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄ ⠀⠘⠿⣿⣷⣄⠀⠀⠿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⢿⣧⣾⠟⡋⠵⢖⡂⣴⣆⠀⠘⣿⣾⣷⡜⣿⣶⠎⠛⠡⠴⠋⠁⠀⡀⠀⠀⠀⠀⣘⣿⡆⡀⠀⠀⠀⠀⠀⠈⠻⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠊⠁ ⠀⠀⠀⠈⠛⠿⣷⠀⠀⢺⠂⠀⠀⠀⠀⠀⠀⠀⢸⣿⣾⠭⢒⣫⣔⣾⣟⣿⡜⣿⣆⠀⠘⣿⡞⠛⠈⠐⠃⠀⠀⠀⡄⠀⠀⠁⠀⠀⠀⢏⣹⣿⣿⣿⠀⠀⠰⢤⣀⠀⠀⠈⠙⠿⣿⣿⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡡⠀⢶⡆⠀⠀⠀⠀⣶⡦⠀⣉⣏⢶⣟⣿⣧⡜⣿⣞⣿⡞⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣤⣽⣿⡆⢀⣶⠀⠘⠥⣄⣀⠀⠀⠀⠉⠛⠛⠿⣿⣿⣶⣤⣄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠓⠀⠀⠀⣀⣬⡐⣿⣼⣿⣿⣿⡞⣿⣆⠘⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⣻⣴⣦⡀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣇⠼⡟⠺⠆⠀⠀⠈⠙⠂⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣿⣐⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⡠⣶⡀⢹⣿⢿⣎⢿⣿⣟⢿⠿⠈⠁⠀⠀⠀⡴⢠⠀⠀⠀⠀⠀⠀⠀⢘⣯⣭⣝⢿⣿⡄⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠠⠁⠀⢠⣀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠹⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⣶⣽⣷⡹⣿⡄⢿⣿⢿⠧⠛⠉⠀⠀⠀⠀⢀⠀⢄⠐⠇⠀⠉⠒⠀⠀⠀⠀⢀⡟⣿⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣷⡄⠀⠀⠀⢀⣶⣿⣿⣼⣿⣾⣿⣶⣤⣄⣀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣿⡽⣿⣿⣷⡹⠿⠛⠉⠀⠀⠀⢠⠶⠂⠀⣀⡄⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠏⠻⡄⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⡄⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⢠⣦⡀⣀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠀⠀⠐⠃⣠⣾⣿⣿⡀⠀⣀⣴⣄⠀⠀⠀⠀⠀⠀⣠⣞⣉⣉⣩⣿⣧⠀⠀⢠⠀⢐⡀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣦⡠⣹⢿⣿⣻⣿⣿⣿⣿⣿⣿⣿⡿⢁⣾⡟⠐⢡ ⠰⠖⠲⣶⠿⢷⠶⠶⠿⠿⠷⠰⠸⠀⠂⠀⣀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣣⣾⠿⠟⠛⠀⠀⠀⠀⠀⠀⣿⣿⣯⣭⣿⣿⣿⡆⠀⠀⠣⠸⣿⣦⣤⣦⡀⠀⠈⣿⣿⣿⣿⣷⣝⢷⣀⠀⠀⠀⠈⠉⠛⠛⠛⠧⢾⣟⡠⢰⣿ ⠙⢹⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠢⠀⡀⠀⠈⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠘⣿⣿⣿⣿⡇⠀⠀⠀⣁⢻⡟⠃⣼⣤⣸⣦⠀⠈⠀⠀⠐⠀⠀⡀⠈⠀⢀⠀⣀⠀⠀⣀⣀⡠⠤⠔⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣦⣔⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠉⠃⠀⢠⡿⠋⠉⣷⣤⠀⠀⠀⠀⠀⠀⠀⠴⠞⠿⡿⠟⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣗⠲⢶⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠉⠁⠀⠸⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡀⢀⠀⣀⣀⣀⣀⣀⣠⣤⣶⣿ ⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠿⣿⣿⣿⣧⠀⠻⢿⣿⣶⠄⠀⠀⠀⠀⠀⠀⠀⠠⢶⣾⣿⠟⣹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣦⣤⠀⠀⠀⠀⠀⣠⡔⣊⣿⣾⣿⣿⣿⣿⣧⠸⣿⣿⣿⣿ ⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠩⠻⠦⣤⠀⠉⣟⡷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠹⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠈⠛⠀⢠⣄⠀⠀⠀⣨⣾⣿⣿⣿⣿⣿⢿⣛⣭⣶⡆⠙⠿⠿⠿ ⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠐⠘⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⣾⡻⠗⢹⠀⠸⢟⣋⣥⣶⣿⠟⢻⡿⠆⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⣾⣻⡗⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡰⣷⣽⣷⡙⣛⡿⣷⣠⡈⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣿⣋⡙⣛⡿⣿⡄⠀⠀⠀⠀⢀⡠⣶⡼⣿⡽⣿⡽⣿⣿⣿⡝⠿⢻⣶⣷⣶⣶⠀⡀⠤⢀⢰⣤⣶⣷⣶⡄⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣥⡶⣶⡹⣿⢿⣎⣭⣟⣿⡟⠛⠋⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠹⠓⢩⣴⡆⠀⠻⣿⣿⣏⠄⠀⢀⡸⣬⣿⣿⣿⣇⣄⣀ ⣤⣤⣄⣀⣀⣉⣉⠛⠻⢿⣿⡿⠿⠛⠉⠛⠻⠃⠨⠛⡗⠀⠀⠀⠀⠀⠀⣠⣶⣦⠀⠹⣿⡿⠃⢻⣿⢻⠿⡉⠉⢀⡀⣴⣄⠘⣿⣿⣦⠘⣿⣆⠹⠿⠈⠉⠀⠆⠀⠀⠉⠀⠀⠀⠁⠈⠉⠙⠁⠀⠀⠀⠀⠀⠀⠈⠁⠀ ⠀⣻⢿⠿⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡾⠿⠽⢷⣶⣦⡀⡹⣿⠄⣬⡉⢐⣂⡣⣶⡽⣿⡜⣿⣆⢹⣷⡿⡷⠘⠋⠀⠀⠀⠀⠀⠀⠀⢠⣄⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣾⣟⣋⠹⣿⡄⠀⠰⣷⡿⢃⡿⠀⣀⣥⡄⣿⡽⢟⡜⣿⣟⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠈⠁⡪⠄⢐⣄⠈⠻⣦⣨⡵⠀⢀⠀⠀⠀⠙⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣤⣀⠀⠀⠀⠹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⢿⣟⣀⠹⡿⠄⠀⠀⠀⣨⣶⣶⡝⣿⣴⠽⣿⣟⣿⡜⠛⡛⠁⠀⠀⠀⠀⠠⡀⠀⠀⠀⠀⠀⠀⠈⢿⣄⡀⠘⠿⠧⠠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀ ⠀⠘⠻⣿⣷⣄⠀⠀⠷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢿⣧⣾⠟⠋⠵⢖⡂⣴⣆⠀⠘⣿⣾⣷⡜⣿⣶⠎⠛⠥⠤⠋⠁⠀⡀⠀⠀⠀⠀⣘⣿⡦⡀⠀⠀⠀⠀⠀⠘⢿⣶⣦⣄⣀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠊⠁ ⠀⠀⠀⠈⠛⠿⣷⠀⠀⢺⠂⠀⠀⠀⠀⠀⠀⠀⠸⣿⣮⠉⢐⣣⣔⣾⣟⣿⡜⣿⣆⠀⠘⣿⡞⠛⠈⠐⠓⠀⠀⠀⡄⠀⠀⠃⠀⠀⠀⢏⣻⡿⣿⣿⠀⠀⠰⢤⣀⠀⠀⠈⠛⠿⣿⣿⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡡⠀⢿⡆⠀⠀⠀⠀⢤⡦⠀⣙⣅⢶⣟⣿⣧⡜⣿⣞⣿⡞⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⡇⢀⣶⠀⠉⠥⣄⡀⠀⠀⠈⠉⠛⠻⢿⣿⣿⣷⣦⣄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⣀⣤⡐⣿⣼⣿⣿⣿⡞⣿⣆⠘⠛⠋⠁⡀⠀⠀⠀⠀⠀⠀⠀⠐⣀⣭⣷⣷⣄⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣧⠼⠟⠶⠆⠀⠀⠈⠙⠂⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣿⣴⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣶⡀⢹⣿⢿⣎⢿⣿⣟⢿⠿⠈⠁⠀⠀⠀⠀⠃⡖⠀⠀⠀⠀⠀⠀⠀⣵⣶⣯⣿⣿⣠⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠁⠀⢠⡀⠀⠀⠀⠀⠀⠈⠙⠛⠿⠹⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⣶⣽⣷⡹⣿⡄⢿⣿⢿⠧⠛⠉⠀⠀⠀⠀⠀⠠⠈⠀⠈⡡⠋⠒⠀⠀⠀⠀⢀⣜⣛⣻⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣷⡀⠀⠀⠀⢀⣶⣿⣿⣜⣿⣾⣷⣶⣤⣀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣿⡽⣿⣿⣷⡹⠿⠛⠉⠀⠀⠄⢀⠶⠆⣀⣠⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠏⠻⡄⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣄⠀⠀⣸⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⡯⢠⣦⡀⣀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠀⠀⠐⠋⣠⣾⣿⣿⣷⠀⣠⣶⡄⠀⠀⠀⠀⠀⠀⢰⢞⣭⣭⣭⣿⣷⡄⠀⠠⠀⢀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣦⣀⡹⢿⣟⣻⣿⣿⣿⣿⣿⣿⣿⡿⢁⣾⡟⠀⢡ ⠰⠖⠲⣶⠿⢷⠶⠶⠿⠿⠷⠰⠸⠀⠂⠀⢀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣾⠿⠛⠛⠀⠀⠀⠀⠀⠀⣸⣼⣿⣾⣽⣿⣿⡇⠀⠀⠣⢸⣷⣦⣴⣦⡀⠀⠈⣿⣿⣿⣿⣿⣝⢶⡀⠀⠀⠀⠘⠛⠛⠛⠛⠧⣾⣟⣠⢴⣿ ⠹⠟⢻⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠁⠀⣀⠀⠈⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠘⢿⣿⣿⣿⡇⠀⠀⠀⢀⠻⡿⠃⣼⣄⣸⣦⠀⠈⠀⠀⠀⠀⡀⠀⠐⠀⠀⠀⣀⠀⠀⠀⠀⢀⣀⠠⠞⠚⠊⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⠛⠿⢻⣿⣿⣿⣿⣿⣿⣿⣷⣄⣾⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠀⠀⠉⠃⠀⢠⡿⠋⠉⣡⣤⠀⠀⠀⠀⠀⠉⢀⣴⣶⣶⣾⠟⠀⠜⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⢶⣦⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠈⠁⠀⠸⠟⠁⠀⠀⠀⠀⠀⠀⠉⠀⠈⠉⠁⢀⡀⠀⠀⠀⠀⠀⣀⡀⣀⣠⣤⣶⣾ ⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠻⠿⣿⣿⣿⣿⡄⠀⠀⠉⣦⣄⣀⠀⠀⠀⠀⠀⠀⠠⣤⣼⣿⡿⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⠀⠀⠀⠀⠀⢀⠀⢀⠠⠻⣦⣶⣶⣶⣿⣿⣿⠻⣿⣿⣿⣿ ⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢻⣿⣄⡀⠀⠨⡛⠧⣁⠀⠀⠀⠀⠀⠀⠀⠙⣿⠀⠹⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠈⠛⠁⢀⠀⠀⠀⠀⢒⣵⣶⣿⣿⣿⣿⠿⣛⣯⣵⡆⠙⢿⣿⡿ ⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠘⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⣾⡻⠗⢹⠀⠸⠟⣋⣭⣴⣿⠿⢿⢷⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⣾⣻⡗⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡰⣷⣽⣷⡙⣛⡿⣷⣀⡀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣿⣋⡙⣛⡿⣿⡄⠀⠀⠀⠀⢀⡠⣶⡼⣿⡽⣿⡽⣿⣿⣿⡝⠿⢻⣶⣧⣤⣶⠀⡀⠤⢀⣠⣤⣶⣧⣶⡄⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣥⡶⣶⡹⣿⢿⣎⣩⣟⣿⡟⠛⠋⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠹⠓⢩⣴⡆⠀⠻⣿⣿⣟⠄⠀⠀⣸⣼⣿⣿⣿⣏⣁⣀ ⣀⣉⣉⣉⣉⣉⡉⠛⠛⠿⣿⣿⣿⣿⡿⠟⠻⠿⡶⢀⠠⠢⠄⠀⠀⠀⠀⣠⣶⣦⠀⠹⣿⡿⠃⢻⣿⢻⠿⡉⠉⢀⡀⣴⣄⠘⣿⣿⣦⠘⣿⣆⠹⠿⠈⠉⠀⠆⠀⠀⠉⠀⠀⠀⠉⠉⠉⠘⠁⠀⠀⠀⠉⠉⠉⠉⠁⠈ ⠀⡳⣾⠿⠿⠿⠋⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⣠⣴⡾⠿⠽⢷⣶⣦⡀⠹⣿⠄⣬⡉⢐⣂⡣⣶⡽⣿⡜⣿⣆⢹⣷⡿⡷⠘⠋⠀⣀⠀⣀⠀⠀⠀⢠⣄⢀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣾⣟⣋⠹⣿⡄⠀⠰⣷⡿⢃⡽⠀⣀⣥⡄⣿⡽⢟⡜⣿⣟⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⠨⠐⠀⣱⡄⠈⠻⣦⣨⡥⠀⢀⠀⠀⠀⠙⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣤⣀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⢿⣟⣀⠹⡿⠄⠀⠀⠀⣨⣶⣶⡝⣿⣴⠽⣿⣟⣿⡜⠛⡛⠁⠀⠀⠀⠀⠠⡀⠀⠀⠀⠀⠀⠀⠘⠿⣄⡀⠙⠿⠆⠠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠻⣿⣷⣄⡀⠀⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⣾⠟⠋⠵⢖⡂⣴⣆⠀⠘⣿⣾⣷⡜⣿⣶⠎⠛⢡⠤⠋⠁⠀⡀⠀⠀⠀⠀⣘⣿⡦⠀⠀⠀⠀⠀⠀⠙⢿⣷⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠚⠉ ⠀⠀⠀⠈⠙⠻⡿⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡮⠉⢀⣠⣔⣾⣟⣿⡜⣿⣆⠀⠘⣿⡞⠛⠈⠐⠃⠀⠀⠀⡄⠀⠀⠃⠀⠀⠀⢋⣻⠿⣿⣿⡄⠀⠰⢄⣀⠀⠀⠈⠙⠿⣿⣿⣷⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⢿⡆⠀⠀⠀⠀⢠⡤⠄⣈⣄⢶⣟⣿⣧⡜⣿⣞⣿⡞⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⡇⢀⣴⠀⠉⠵⣀⡀⠀⠀⠀⠉⠛⠻⢿⣿⣿⣷⣦⣄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠀⠀⠀⣀⣤⡐⣿⣼⣿⣿⣿⡞⣿⣆⠘⠛⠋⠁⢠⠄⡀⠀⠀⠀⠀⠀⠈⣡⡤⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠙⣿⣿⣧⠸⠏⠲⠆⠀⠀⠉⠑⠂⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣿⣴⣆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣶⡀⠹⣿⢿⣎⢿⣿⣟⢿⠿⠈⠁⠀⠀⠀⠀⠀⠀⠁⡀⠀⠀⠀⠀⠀⢰⠶⣶⣎⣿⣎⡀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠁⠀⢠⡀⠀⠀⠀⠀⠀⠀⠙⠛⠿⠻⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⣶⣽⣷⡹⣿⡄⢿⣿⢿⠧⠛⠉⠀⠀⠀⠀⠀⠀⠂⠀⠀⠠⠊⠂⠀⠀⠀⠀⠀⣴⣸⣟⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣷⡀⠀⠀⠀⢀⣴⣿⣷⣘⣿⣶⣶⣦⣤⣀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣿⡽⣿⣿⣷⡹⠿⠛⠉⠀⠀⣄⠀⠰⢆⣤⣤⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠏⠳⡄⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣄⠀⠀⣸⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⡯⢠⣦⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠀⠀⠀⠚⣠⣿⣿⣿⣿⡆⣠⣶⡄⠀⠀⠀⠀⠀⠀⠰⠓⣭⣭⣭⣿⣿⡆⠀⢠⠀⢀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣦⣀⡹⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⡿⢁⣾⡟⠀⢁ ⠐⠖⠲⣶⠿⢷⠶⠶⠿⠿⠷⠠⠸⠀⠂⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣾⠿⠛⠛⠀⠀⠀⠀⠀⠀⢸⣸⣿⣶⣾⣿⣿⣷⠀⠀⠣⢸⣷⣦⣤⣦⡀⠀⠈⣿⣿⣿⣿⣿⣝⣦⡀⠀⠈⠁⠙⠛⠛⠛⠻⠥⣾⣟⢠⢴⣿ ⠉⠻⠛⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡈⠄⢀⠀⠀⠙⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠘⢿⣿⣿⣿⡇⠀⠀⠀⠀⠸⠟⠃⣰⣄⣸⣦⠀⠉⠀⠀⠀⠀⡀⠀⠐⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⣀⠴⠾⠙⠃⠁⠀ ⠀⠀⠀⠀⠈⠀⠙⠻⠟⣿⣿⣿⣿⣿⣿⣿⣿⣦⣾⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠀⠀⠉⠃⠀⢀⣿⠟⠉⣩⣤⠀⠀⠀⠀⠠⠅⠀⣤⣤⣤⣴⠏⢀⠤⠖⠒⠚⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡶⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣧⠀⠀⠀⠀⠀⠀⠈⠁⠀⠐⠟⠃⠀⠀⠀⠀⠀⠐⠋⠙⠛⠛⠉⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣶ ⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠿⠿⣿⣿⣿⣿⣷⡄⠉⠉⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⣀⣸⣿⡿⢫⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠰⣤⡀⣄⣀⣠⣴⣶⣶⠾⣿⣿⣿⣿ ⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⣿⣧⣀⠀⠀⠀⠀⠉⠒⠀⠀⠀⠀⠀⠀⠙⣿⠀⠸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠈⠓⠀⠀⠀⠀⠀⠁⠄⣂⣤⣽⣿⣿⣿⡿⢟⣫⣥⡆⠙⢿⣿⡿ ⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠃⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⡀⠀⠙⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⣾⡻⠗⢨⠁⠸⠿⢛⣩⣴⣾⠿⢿⠷⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⣾⣻⡗⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡰⣷⣽⣷⡙⣛⡿⣷⣀⡀⠛⠉⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣿⣋⡙⣛⡿⣿⡄⠀⠀⠀⠀⢀⡠⣶⡼⣿⡽⣿⡽⣿⣿⣿⡝⠿⢻⣶⣧⣄⣶⠀⠀⡄⢀⣠⣄⣴⣦⣤⡄⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣥⡶⣶⡹⣿⢿⣎⣩⣟⣿⡟⠛⠋⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠹⠓⢩⣴⡆⠀⢻⣿⣿⡟⠀⠀⠀⣸⣼⣿⣿⣿⣏⣁⣀ ⣀⣈⣉⣛⣛⠛⠛⠛⠻⠿⢿⣿⣿⣿⣿⣿⡿⠿⣶⣦⠄⢀⡠⠀⠀⠀⠀⣠⣶⣦⠀⠹⣿⡿⠃⢻⣿⢻⠿⡉⠉⢀⡀⣴⣄⠘⣿⣿⣦⠘⣿⣆⠹⠿⠈⠉⠀⠀⠀⠀⠙⠁⠀⠀⠉⠉⠛⠒⠂⠀⠁⠈⠉⠉⠉⠉⠁⠈ ⠀⡲⠶⠿⠿⠿⠟⠁⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠁⢀⣠⣴⡾⠿⠽⢷⣶⣦⡀⠹⣿⠄⣬⡉⢐⣂⡁⣶⡽⣿⡜⣿⣆⢹⣷⡿⡷⠘⠋⠠⢄⡀⠀⠀⠀⠀⢠⣀⢀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣾⣟⣋⠹⣿⡄⠀⠰⣷⡿⢃⡽⠀⣀⣥⡄⣿⡽⢟⡜⣿⣟⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⠐⠙⠠⣷⡄⠈⠻⣦⣈⡭⠀⠀⠀⠀⠀⠸⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣤⣄⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⢿⣟⣀⠹⡿⠄⠀⠀⠀⣠⣶⣶⡝⣿⣴⠼⣿⣟⣿⡜⠛⡛⠁⠀⠀⠀⠀⠠⡀⠀⠀⠀⠀⠀⠀⠘⠳⣤⣀⠙⠿⠆⠠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀ ⠀⠈⠻⣿⣷⣄⡀⠀⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡮⠟⠫⠵⢖⡂⣴⣆⠀⠘⣿⣾⣷⡜⣿⣶⠎⢛⣡⠤⠛⠁⠀⡀⠀⠀⠀⠀⣈⣧⡦⠀⠀⠀⠀⠀⠈⠙⢿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠐⠉ ⠀⠀⠀⠈⠙⠻⡿⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠎⠉⢀⣠⣔⣾⣟⣿⡜⣿⣆⠀⠘⣿⡞⠛⠈⠐⠓⠀⠀⠀⡀⠀⠀⠃⠀⠀⠀⢋⣻⡿⣿⣿⡄⠀⠠⣀⣀⠀⠀⠈⠙⠿⣿⣿⣿⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⢿⡂⠀⠀⠀⠀⢠⣠⠀⣀⣄⢶⣟⣿⣧⡜⣿⣞⣿⡞⡿⠟⠀⠀⠀⠀⠀⠀⠀⡀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⡇⢀⣤⠀⠉⠵⣀⠀⠀⠀⠀⠉⠛⠻⢿⣿⣿⣿⣶⣤⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⣀⣬⡑⣿⣼⣿⣿⣿⡞⣿⣆⠘⠛⠋⠁⠀⠈⠐⠀⠀⠀⠀⠀⠀⠡⡤⠶⢾⣾⣦⠀⠀⠀⠀⠀⠀⠙⣿⣿⣇⠨⠃⠶⠄⠀⠀⠉⠓⠂⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣿⣶⣆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⡠⣶⡀⠹⣿⢿⣎⢿⣿⣟⢿⠿⠈⠁⠀⠀⡄⠲⠀⠀⠀⡐⠀⠀⠀⠀⠀⠰⡾⣿⣶⣹⡷⣃⠀⠀⠀⠀⠀⠠⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⠏⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡰⣶⣽⣷⡹⣿⡄⢻⣿⢿⠧⠛⠉⠀⠀⠀⠀⢀⣀⠈⠁⠀⠀⠈⠂⠀⠀⠀⠀⠀⣴⣭⣽⣻⣿⣷⡿⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣷⡀⠀⠀⠀⢀⣴⣿⣷⣸⣿⣶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣿⡽⣿⣿⣷⡹⠿⠛⠉⠀⠀⢆⠀⠠⢄⣶⣾⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⠟⠳⡀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣷⡄⠀⠀⣸⣿⣿⣿⢫⣿⣿⣿⣿⣿⣿⣿⡏⢀⣦⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⡿⣠⣶⡀⠀⠀⠀⠀⠀⠀⠀⠃⣧⣤⣭⣿⣿⣧⠀⢠⠀⢀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣦⣀⠹⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⡿⢁⣾⡟⠀⢁ ⠀⠖⠲⣶⠿⢷⠶⠶⠿⠿⠷⠠⠸⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⠿⠋⠛⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣶⣿⣿⣿⠀⠀⠀⢸⣷⣤⣴⣄⠀⠀⠈⣿⣿⣿⣿⣿⣟⣦⠀⠀⠉⠉⠙⠛⠛⠛⠿⢅⣾⡟⠠⢰⣾ ⠀⠉⠿⢻⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣌⠀⠀⠀⠀⠙⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⢿⣿⣿⣿⡿⠀⠀⠀⠀⠘⠟⠃⢰⣄⣰⣤⠀⠉⠀⠈⠀⠀⡀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⣀⣶⡟⠛⠅⠀ ⠀⠀⠀⠀⠀⠀⠈⠛⠿⠛⣿⣿⣿⣿⣿⣿⣿⣷⣶⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣇⠀⠀⠀⠈⠃⠀⢀⣾⠟⠉⢉⣠⠀⠀⠀⠀⡀⠁⠀⣀⣀⣀⡰⣟⢀⣀⣠⠤⠴⠒⠋⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⢦⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠟⠃⠀⠀⠀⠀⠀⠴⠞⠿⢿⠿⠋⠠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠ ⣶⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠻⢿⣿⣿⣿⣿⣿⣷⡀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿ ⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠻⣿⣇⡀⠀⠀⠀⠀⠐⠠⠀⠀⠀⠀⠈⠙⣿⠁⠸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠘⣷⣬⣷⣶⣶⢿⣻⣯⡏⠹⢿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠙⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⣾⡻⠗⢠⠀⢹⠿⢛⣫⣵⣾⠿⢿⠯⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⣾⣻⡗⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡰⣷⣽⣷⡙⣛⡿⣷⣀⠀⠚⠉⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣿⣋⡙⣛⡿⣿⡄⠀⠀⠀⠀⢀⡠⣶⡼⣿⡽⣿⡽⣿⣿⣿⡝⠿⢻⣴⣧⣄⣦⠀⠀⡀⢀⢠⣀⣴⣦⣤⡄⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣥⡶⣶⡹⣿⢿⣎⣩⣟⣿⡟⠛⠋⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠙⠓⢩⣤⡆⠈⢻⣿⣿⡟⠀⠀⠀⢸⣘⣿⣿⣿⣏⣁⠀ ⢀⣈⣉⣛⠛⠻⠟⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⣠⣶⣦⠀⠹⣿⡿⠃⢻⣿⢻⠿⡉⠉⢀⡀⣴⣄⠘⣿⣿⣦⠘⣿⣆⠹⠿⠈⠉⠀⠂⠀⠀⠙⠁⠀⠀⠉⠉⠛⠒⠂⠀⠁⠈⠉⠉⠉⠉⠛⠉ ⠀⠰⠶⠿⠿⠿⠟⠃⠀⠀⠀⠀⠀⠉⠙⠛⠉⠁⠀⠀⠉⠁⢐⣡⣴⡾⠿⠽⢷⣶⣦⡀⠹⣿⠄⣬⡉⢐⣂⡃⣶⡽⣿⡜⣿⣆⢹⣷⡿⡷⠘⠋⠐⠠⢠⡀⠀⡀⠀⢠⡀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣾⣟⣋⠹⣿⡄⠀⠰⣷⡿⢃⡨⠀⣀⣥⡄⣿⡽⢟⡜⣿⣟⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⠈⠛⠳⣿⡄⠈⠻⣤⣉⡭⠀⠀⠀⠀⠀⠲⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣤⣀⠀⠀⠀⠰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⢿⣟⣀⠹⡿⠄⠀⠀⠀⣠⣶⣶⡝⣿⣴⠼⣿⣟⣿⡜⠛⠛⠁⠀⠀⠀⠀⠤⡀⠀⠀⠀⠀⠀⠀⠈⢛⣦⣄⣙⠿⡆⠠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀ ⠀⠈⠻⢿⣷⣄⡀⠀⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡮⠟⣫⣵⢖⡂⣴⣆⠀⠘⣿⣾⣷⡜⣿⣶⠎⢛⣡⠤⠛⠁⠀⠀⠀⠀⠀⠀⣈⣦⡢⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠐⠉ ⠀⠀⠀⠀⠙⠻⡿⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⠉⢀⣠⣔⣾⣝⣿⡜⣿⣆⠀⠘⣿⡞⠛⠈⠐⠒⠀⠀⠀⡀⠀⠀⠃⠀⠀⠀⠋⣻⠿⢿⣾⡄⠀⠀⣀⣀⠀⠀⠀⠉⠻⢿⣿⣿⣷⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⢿⡀⠀⠀⠀⠀⠀⡠⠀⣀⣄⢶⣟⣿⣧⡜⣿⣞⣿⡞⡿⠟⠀⠀⠀⠀⠀⠀⠀⢀⠀⠠⣀⢀⠀⠀⠀⠀⠀⠀⠀⣤⣽⣿⡆⠀⠤⠀⠉⢁⣀⠀⠀⠀⠀⠈⠙⠻⠿⣿⣿⣿⣶⣤⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⣀⣬⡑⣿⣼⣿⣿⣿⡞⣿⣆⠘⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠲⠷⣶⣷⡀⠀⠀⠀⠀⠀⠹⣿⣿⣇⠈⠁⠦⡄⠀⠀⠉⠒⠆⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣿⣶⣆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡠⣶⡀⠹⣿⢿⣎⢿⣿⣟⢿⠿⠈⠁⠀⠀⢰⣉⠓⠄⠀⠀⠁⠀⠀⠀⠀⠀⢚⣿⣷⣾⣿⢻⠀⠀⠀⠀⠀⠠⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠏⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡰⣶⣽⣷⡹⣿⡄⢻⣿⢿⠧⠛⠉⠀⠀⠀⠀⢀⣤⠆⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⢠⣆⣭⣽⣿⣿⡿⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣧⡀⠀⠀⠀⢀⣴⣾⣶⣸⣿⣴⣦⣤⣀⡀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣿⡹⣿⣿⣷⡹⠿⠛⠉⠀⠀⡆⠀⠀⢠⣾⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠛⢳⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣷⡀⠀⠀⢸⣿⣿⣿⢫⣿⣿⣿⣿⣿⣿⣿⡏⢁⣤⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠀⠀⠈⠀⣴⣿⣿⣿⣿⣿⣠⣦⡀⠀⠀⠀⠀⠀⠀⠀⠂⣪⣤⣬⣽⣿⣷⠀⢀⠀⢀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣄⢀⢻⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⡿⢁⣼⡟⠀⢁ ⠀⠖⠲⣶⠏⢷⠶⠶⠿⠿⠷⠠⠸⠀⠀⢀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⡿⠟⠋⠛⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣶⣾⣿⣿⠀⠀⠀⢸⣷⣤⣤⣄⠀⠀⠘⣿⣿⣿⣿⣿⣷⣤⠈⠉⠉⠉⠙⠛⠿⠿⠿⣅⣾⡟⢀⢠⣾ ⠀⠈⠹⠛⣿⣿⡿⣻⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⡀⠀⠐⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⠀⠀⠀⠀⠘⠟⠃⢰⣄⣰⣤⠀⠙⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⣟⡟⠿⠏ ⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⣹⣿⣿⣿⣿⣿⣿⣿⣷⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⠀⠀⠀⠈⠃⠀⢀⣼⠟⠋⢋⣀⠀⠀⠀⠀⠀⠁⠀⠀⢀⣀⣰⣟⠀⠀⢀⣀⣠⠴⠶⠊⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠾⠋⠀⠀⠀⠒⢀⣠⣶⣶⣿⣟⠘⡡⠚⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀ ⣿⣶⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⢿⣿⣿⣿⣿⣿⣿⣆⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠈⠉⠉⢀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣶⣾⣿⣿ ⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⢿⣿⣄⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠙⣿⡋⠰⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⡙⣷⣄⢠⣤⣠⣴⣶⣶⣾⡿⠻⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠀⡠⠀⠄⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠙⠿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⣾⡻⠗⢀⠀⢸⠿⠟⣋⣭⣶⠿⢿⠋⠀⠀⠀⠉⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⢀⣀⡁⣾⣻⡗⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡰⣷⣽⣷⡙⢛⡿⣷⣀⠀⠞⠉⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣿⣋⡙⣛⡿⣿⡄⠀⠀⠀⠀⢀⡠⣶⡸⣿⡽⣿⡽⣿⣿⣷⡝⠿⢻⣼⣧⣄⣦⠀⠀⡀⠀⢠⢀⣤⣦⣤⡀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣥⡶⣶⡹⣿⢿⣎⣩⣝⣿⡟⠛⠋⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠙⠓⠩⣤⡄⠈⢻⣿⣿⡟⠀⠀⠀⢸⣘⣿⣿⣿⡏⢁⠀ ⢀⣈⣉⡛⠛⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⡀⠀⠀⠀⠀⣠⣶⣦⠀⠹⣿⡿⠃⢻⣿⢻⠿⡉⠉⢀⡀⣴⡄⠘⣿⣿⣦⠘⣿⣆⠹⠿⠈⠉⠀⠂⠀⠀⠙⠁⠀⠀⠉⠙⠓⠒⠂⠀⠉⠉⠉⠉⠉⠙⠛⠉ ⠀⠐⠲⠶⠿⠿⠟⠛⠀⠀⠀⠀⠈⠉⠙⠛⠛⠛⠉⠀⠈⠉⠃⣠⣴⡾⠿⠽⢷⣶⣦⡀⠹⣿⠄⣬⡉⢐⣂⡁⣶⡽⣿⡜⣿⣆⢹⣷⡿⡷⠘⠋⠀⠀⢰⣄⠀⣄⠀⢀⡀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣾⣟⣋⠹⣿⡄⠀⠰⣷⡿⢃⡀⠀⣀⣥⡄⣿⡽⢟⡜⣿⣟⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⠈⠋⠙⣿⣆⠈⠻⣄⢈⡉⠁⠀⠀⠀⠀⠰⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣤⣀⠀⠀⠀⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⢿⣟⣀⠹⡿⠄⠀⠀⠀⣠⣶⣶⡝⣿⣴⠼⣿⣟⣿⡜⠛⠛⠁⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⢩⣷⣦⣙⣿⡄⠠⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀ ⠀⠀⠻⢿⣷⣄⡀⠀⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡮⠟⣫⣵⢖⡂⣴⣆⠀⠘⣿⣾⣷⡜⣿⣶⠎⠛⢡⠤⠛⠁⠀⠀⠀⠀⠀⠀⣘⣤⠢⡀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣷⣦⣄⣀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠐⠊ ⠀⠀⠀⠀⠙⠻⡿⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢀⣠⣔⣾⣝⣿⡜⣿⣆⠀⠘⣿⡞⠛⠈⠐⠂⠀⠀⠀⡀⠀⠀⠃⠀⠀⠀⠋⣻⠿⢿⣾⠀⠀⠀⣀⡀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⣀⣄⢶⣟⣿⣧⡜⣿⣞⣿⡞⡿⠟⠀⠀⠀⠀⠀⠀⠀⢀⠀⠠⠄⠀⡀⠀⠀⠀⠀⠈⠁⣠⣽⣿⡄⠀⠤⠀⠉⢁⡀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣷⣦⣄⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⣀⣤⡐⣿⣼⣿⣿⣿⡜⣿⣆⠘⠛⠋⣁⡀⠈⣄⠀⠀⠀⠀⠀⠀⠀⠰⠒⠺⣷⣿⣄⠀⠀⠀⠀⠀⠹⣿⣿⣇⠀⠀⠤⡀⠀⠈⠑⠒⠄⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣶⣆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣶⡀⠹⣿⢿⣎⢿⣿⣟⢿⠿⠈⠁⠀⠀⠘⠤⠽⠒⠀⠀⠀⠀⠀⠀⠀⠀⢚⣿⣿⣮⣿⢻⡄⠀⠀⠀⠀⢠⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠟⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡰⣶⣽⣷⡹⣿⡄⢻⣿⢿⠧⠛⠉⠀⠀⠀⣀⣀⣴⠖⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠠⣮⣬⡝⣿⣿⣾⠃⠀⠀⠀⠀⠀⢻⣿⣿⣿⣦⠀⠀⠀⠀⢀⣴⣶⣦⠸⣷⣴⣦⣄⣀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣿⡹⣿⣿⣷⡹⠿⠛⠉⠀⠀⡄⠀⠀⢠⣾⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡛⢣⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣧⡀⠀⠀⢸⣿⣿⡿⢻⣾⣿⣿⣿⣿⣿⣿⡋⠁⣤⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠀⠀⠈⠂⣴⣿⣿⣿⣿⣿⣣⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣽⣿⣷⠀⢀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣷⣄⠀⢹⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢁⣼⡟⠀⢀ ⠀⠆⠲⣶⠏⢷⠶⠶⠿⠿⠷⠠⠸⠀⠀⢀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⡿⠟⠋⠋⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣶⣾⣿⣿⡄⠈⠀⢸⣶⣤⣠⣄⠀⠀⠙⣿⣿⣿⣿⣿⣳⣌⠉⠉⠉⠉⠛⠿⠿⠿⠿⣁⣼⡟⢀⣠⣾ ⠀⠀⠘⠟⣾⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣶⣅⡀⡀⠀⠐⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠹⣿⣿⣿⣿⠀⠀⠀⠀⠀⠐⠋⢠⣄⢀⣄⠀⠙⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠾⣻⠿⠟ ⠀⠀⠀⠀⠀⠀⠀⠘⠙⠛⠹⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⠀⠀⠀⠈⠂⠀⢀⣼⡟⠛⠋⣀⠀⠀⠀⠀⠀⠉⠀⠀⠀⣀⡀⣟⠀⠀⠀⠀⣀⣤⣤⠶⠟⠛⠀⠀⠀ ⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⢤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠾⠋⠀⠀⢀⠀⠀⢀⣤⣴⣾⠋⠙⣡⢤⣖⠾⠟⠓⠉⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠒⠛⠛⠛⠛⠀⡜⠅⠈⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣿ ⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠟⠿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⡏⠀⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠾⣷⣄⠀⣀⣀⡀⡀⢀⣤⣾⣿⡿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⠂⣀⠘⠤⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠈⠻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⣾⡻⠗⠐⠈⢿⣦⠿⣛⣩⣿⠿⢿⠋⠁⠀⠀⠉⠁ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠘⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⣾⣻⡗⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡰⣷⣽⣷⡙⢛⡿⣷⡀⠀⠖⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣿⣋⡙⣛⡿⣿⡄⠀⠀⠀⠀⢀⡠⣶⡸⣿⡽⣿⡽⣿⣿⣷⡝⠿⢻⣬⣧⣄⣤⠀⠀⣀⠀⢀⢀⣠⣆⣤⡀⠀ ⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣥⡶⣶⡹⣿⢿⣎⣩⣝⣿⡟⠛⠋⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠙⠓⠩⣤⡄⠈⢻⣿⣿⠟⠀⠀⠀⢸⣘⣿⣿⣿⡟⠃⠀ ⠀⢈⣉⠛⠛⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣀⠀⠀⠀⠀⣠⣶⣦⠀⠹⣿⡿⠃⢻⣿⢻⠿⡉⠉⢀⡀⣴⡄⠘⣿⣿⣦⠘⣿⣆⠹⠿⠈⠉⠀⠀⠀⠀⠙⠁⠀⠀⠉⠛⠛⠰⠂⠀⠉⠉⠙⠛⠛⠛⠛⠉ ⠀⠀⠐⠶⠾⠿⠿⠛⠀⠀⠀⠀⠀⠉⠉⠛⠿⠿⠛⠋⠉⠉⠛⣫⣴⡾⠿⠽⢷⣶⣦⡀⠹⣿⠄⣬⡉⢐⣂⡁⣶⡽⣿⡜⣿⣆⠹⣷⡿⡷⠘⠋⠀⠀⣪⢬⣐⣄⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣾⣟⣋⠹⣿⡄⠀⠰⣷⡿⠃⠀⠀⣀⣥⡄⣿⡽⢟⡜⣿⡟⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⡁⠉⠘⢿⣇⠘⢻⣌⠀⡈⠁⠀⠀⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣤⣄⠀⠀⠀⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⢿⣟⣀⠹⡿⠄⠀⠀⠀⣠⣶⣶⡝⣿⣴⠜⣿⣟⣿⡜⠛⠛⠁⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠩⣿⣦⣽⣿⡄⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠻⢿⣷⣤⡀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡮⠟⣫⣵⢖⡂⣴⣆⠀⠘⣿⣾⣷⡜⣿⣶⠎⢛⣡⠤⠛⠁⠀⠀⠀⠀⠀⠀⣰⣄⠦⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠋ ⠀⠀⠀⠀⠉⠙⠿⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢀⣠⣔⣾⣝⣿⡜⣿⣆⠀⠘⣿⡞⠛⠈⠐⠂⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠋⣻⠿⣷⣴⠀⠀⠀⢁⠂⠀⠀⠀⠀⠙⠻⣿⣿⣿⣷⣶⣤⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⢶⣟⣿⣧⡜⣿⣞⣿⡞⡿⠟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⡠⡀⠀⠀⠀⠀⠈⢁⣠⣻⣿⠀⠀⠀⠈⠉⢀⠀⠀⠀⠀⠀⠀⠉⠙⠻⢿⣿⣿⣷⣦⣄⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⣀⣤⡐⣿⣼⣿⣿⣿⡜⣿⣆⠘⠛⠋⠡⣄⠀⢢⠄⠀⠀⠀⠀⠀⠀⠰⠒⠛⢿⣾⣆⠀⠀⠀⠀⠀⠻⣿⣿⣀⠀⠀⠀⠀⠀⠈⠑⠢⠄⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣷⣆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣶⡀⠹⣿⢿⣌⢿⣿⣟⢿⠿⠈⠁⠀⠀⠈⠧⠮⠛⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⣻⣮⣿⢛⡄⠀⠀⠀⠀⢰⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠟⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡰⣶⣽⣷⡹⣿⡄⢻⣿⢿⠧⠛⠉⠀⠀⠀⣀⣀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣬⣍⣿⣿⣾⠃⠀⠀⠀⠀⠀⢻⣿⣿⣿⣆⠀⠀⠀⠀⢀⣤⣶⣦⠸⣶⣴⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣿⡹⣿⣿⣷⡹⠿⠛⠉⠀⠀⡄⠀⠀⢠⣾⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡙⢡⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣧⡀⠀⠀⣸⣿⣿⡿⢻⣿⣿⣿⣿⣿⣷⣿⡛⠁⣤⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠀⠀⠐⠂⣴⣿⣿⣿⣿⣿⣇⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣷⣄⠀⢻⣿⡿⣷⣎⣽⣿⣿⣿⣿⣿⡿⠁⣼⡟⠀⢀ ⠀⠆⠲⣶⠏⢷⠶⠴⠿⠿⠷⠠⠸⠀⠀⢠⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⡿⠟⠋⠃⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣶⣾⣿⣿⡄⠀⠀⢰⣦⣤⣠⣄⠀⠀⠹⣿⣿⣿⣿⣮⢶⣍⠉⠉⠙⠉⠻⠿⠿⠿⢿⣁⣼⡟⠀⣠⣾ ⠀⠀⠘⠋⢾⠿⠟⢹⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠊⢠⣄⢀⣄⠀⠙⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠴⣿⡿⠿ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡇⠀⠀⠀⠁⠀⠀⣼⡿⠛⠛⣀⠀⠀⠀⠀⠀⠉⠀⠀⠀⢀⡠⡞⠁⠀⠀⠀⢀⣀⣤⣴⠶⠟⠁⠀⠀ ⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡇⠀⠀⠀⠀⠀⠈⠉⠀⠀⠼⠋⠀⠀⠀⠀⠀⠀⡀⢰⡾⣋⠝⣉⣀⡤⣴⡾⠟⠛⠉⠀⠀⠀⠀⠀⠀ ⣿⣿⣷⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⢿⣿⠇⢁⡞⠙⠚⠉⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾ ⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠿⠿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢾⡟⠁⢤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⢤⣾⡄⠀⡀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠆⢀⡘⢦⠄⠀⠀⠀⠀⠀⠀⠈⠛⠀⠈⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣁⡠⣾⡻⠗⠙⢿⣦⣹⠿⢟⣠⣶⣿⠿⠛⠉⠀⠈⠉⠉ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠠⠃⠀⠀⠀⠀⠀⠀⢀⣀⡀⣾⣻⡗⠸⡅⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡰⣷⣽⣷⡙⢛⡿⣷⡀⠀⠖⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣿⣋⡙⣛⡿⣷⡄⠀⠀⠀⠀⢀⡠⣶⡸⣿⡽⣿⡽⣿⣿⣷⡙⠿⢻⣬⣇⡀⣤⠀⠀⡀⠀⢀⢀⣠⣄⣀⡀⠀ ⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠈⣥⡶⣶⡹⣿⢿⣎⣩⣝⣿⡟⠛⠋⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠙⠓⠉⣠⡄⠈⢿⣿⣿⠿⠀⠀⠀⢸⢹⣿⣿⣿⡛⠃⠀ ⠀⠀⣉⡉⠛⠻⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⡀⠀⠀⠀⣠⣶⣦⠀⠹⣿⡿⠃⢻⣿⢻⠿⠉⠉⢀⡀⣴⡄⠘⣿⣿⣦⠘⣿⣆⠹⠿⠈⠉⠀⠀⠀⠀⠛⠁⠀⠀⠙⠛⠛⠠⠄⠀⠉⠉⠙⠛⠛⠛⠛⠑ ⠀⠀⠐⠲⠾⠿⠿⠒⠀⠀⠀⠀⠀⠉⠉⠙⠿⠻⠿⠿⠛⠉⠙⣫⣵⡾⠿⠽⢷⣶⣦⡀⠹⣿⠄⣬⡉⢐⣂⡁⣶⡽⣿⡜⣿⣆⠹⣷⡿⡷⠘⠋⠀⠀⠰⣦⣄⣦⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣾⣟⣋⠹⣿⡄⠀⠰⣷⡿⢃⠀⠀⣀⣥⡄⣿⡽⢟⡜⣿⡟⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⠠⠈⠘⢿⣧⡘⢻⣄⠀⡈⠁⠀⠀⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⢿⣟⣀⠹⡿⠄⠀⠀⠀⣠⣶⣶⡝⣿⣴⠜⣿⣟⣿⡜⠛⠛⠁⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠨⣿⣶⣿⣿⡄⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠻⢿⣷⣤⡀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡮⠟⣫⣵⢄⡀⣴⣆⠀⠘⣿⣾⣷⡜⣿⣶⠎⠛⣁⠠⠒⠁⠀⠀⠀⠀⠀⠀⣐⣄⠦⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣶⣤⣄⡀⠀⠀⠀⠀⠄⠀⠀⠀⠠⠛ ⠀⠀⠀⠀⠉⠙⠿⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢀⣠⣔⣾⣝⣿⡜⣿⣆⠀⠘⣿⡞⠛⠈⠐⠂⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠋⣻⠿⣷⣴⠀⠀⠀⠑⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣷⣶⣤⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⢶⣟⣿⣧⡜⣿⣞⣿⡞⡿⠟⡐⢠⠀⠀⠀⠀⠀⠀⠀⠀⠆⡠⡀⠀⠀⠀⠀⠈⢁⣠⣻⣿⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣶⣄⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⣀⣤⡐⣿⣼⣿⣿⣿⡜⣿⣆⠘⠛⠋⡡⢤⣀⠐⡆⠀⠀⠀⠀⠀⠀⠰⠒⠛⢿⣾⣆⠀⠀⠀⠀⠀⠻⣿⣿⡀⠀⠀⠀⠀⠀⠈⠐⠢⠄⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣿⣿⣿⣦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣶⡀⠹⣿⢿⣌⢿⣿⣟⢿⠿⠈⠁⠀⠀⠀⠓⠒⠏⠁⠀⠀⠀⠀⠀⠀⠀⠘⢻⣻⣦⣿⢛⡄⠀⠀⠀⠀⢰⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⢹ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡰⣶⣽⣷⡹⣿⡀⢻⣿⢿⠧⠛⠉⠀⠀⠀⣠⣤⣴⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣬⣍⣯⣿⣾⠃⠀⠀⠀⠀⠀⢻⣿⣿⣿⣆⠀⠀⠀⠀⠀⣤⣶⣦⢸⣦⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣿⡹⣿⣿⣷⡹⠿⠛⠉⠀⠐⡀⠀⠀⢀⣾⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡙⢥⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣧⠀⠀⠀⣸⣿⣿⡿⢋⡟⣿⣿⣿⣿⣷⣾⡛⠁⡄⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠀⠀⠐⠀⣴⣿⣿⣿⣿⣿⣿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣼⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣷⡀⠀⢻⣿⡿⣷⣎⣿⣿⣿⣿⣿⣿⡿⠁⣼⡟⠀⢀ ⠀⠆⠲⣶⠏⢷⠶⠶⠿⠿⠷⠀⠸⠀⠀⢠⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⡿⠟⠋⠃⠀⠀⠀⠀⠀⠀⠀⠀⠸⡷⣶⣾⣿⣿⡄⠈⠀⢰⣦⣀⣠⡀⠀⠀⠹⣿⣿⣿⣿⣾⢦⡍⠉⠉⠙⠛⠻⠿⠿⠿⢿⡁⣼⡟⠀⣠⣾ ⠀⠀⠈⠉⢸⠿⠟⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣄⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢛⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢠⣄⠀⣄⠈⠙⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⡿⠿ ⠀⠀⠀⠀⠀⠀⠀⠈⠀⠉⠐⢿⣿⣿⣿⣿⣿⣿⣿⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⡇⠀⠀⠀⠂⠀⠀⣸⡿⠛⠛⣀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⡀⠞⠁⠀⠀⠀⠀⢀⣀⣤⣴⠶⠋⠀⠀ ⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡇⠀⠀⠀⠀⠀⠘⠉⠀⠀⠰⠋⠀⠀⠀⠀⠀⠀⠀⢠⡾⣛⠕⠃⢀⣀⣤⣴⠿⠟⠛⠉⠀⠀⠀⠀⠀ ⣿⣿⣿⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠻⢿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣦⣄⠘⣩⠖⡿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶ ⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠿⣿⣿⡀⠀⠀⠐⢶⣄⠀⠀⠀⠀⠀⠐⢲⣿⠋⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠉⠉⠉⢠⣟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠶⠀⣀⠧⡭⠐⠀⠀⠀⠀⠀⠀⠟⠀⠈⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣀⡠⣾⡻⠗⢿⣆⠰⣶⣶⠆⣀⣆⣴⠿⠿⠛⠉⠉⠉⠉ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠄⠀⠀⠀⠀⠀⠀⢀⣀⡀⣾⣻⡗⠸⢧⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡰⣷⣽⣷⡙⢛⡿⣷⡉⠁⠴⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣿⣋⡙⣛⡿⣷⡄⠀⠀⠀⠀⢀⡠⣶⡸⣿⡽⣿⡽⣿⣿⣷⡝⠿⢛⣬⣆⡀⣤⠀⠀⠀⠀⢀⠀⣠⣄⣀⡀⠀ ⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠈⣥⡶⣶⡹⣿⢿⣎⣩⣝⣿⡟⠛⠋⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠙⠓⠉⣠⡄⠈⢿⣿⣿⡿⠀⠀⠀⢰⢸⣿⣿⣿⠟⠃⠀ ⠀⠀⢉⠉⠛⠛⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⣠⣶⣦⠀⠹⣿⡿⠃⢻⣿⢻⠿⠉⠉⢀⡀⣴⡄⠘⣿⣿⣦⠘⣿⣆⠹⠿⠈⠉⠀⠀⠀⠀⠙⠁⠀⠀⠙⠛⠷⠤⠄⠀⠊⠉⠛⠛⠛⠛⠛⠒ ⠀⠀⠐⠲⠶⠷⠶⠖⠂⠀⠀⠀⠀⠉⠉⠛⠻⠿⣿⣿⠿⠟⠛⣫⣵⡾⠿⠽⢷⣶⣦⡀⠸⣿⠄⣨⡉⢐⣀⡁⣶⡽⣿⡜⣿⣆⠹⣷⡿⡷⠘⠋⠀⠀⢁⢶⣬⣦⡀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣾⣟⣋⠹⣿⡔⠠⠰⣷⡿⠃⠀⠀⣀⣥⡄⣿⡽⢟⡘⣿⡟⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠐⠀⠈⠈⠻⣷⡘⢻⣀⠀⡀⠁⠀⠀⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⢿⣟⣀⠹⡿⠄⠀⠀⠀⣠⣶⣶⡝⣿⣴⠜⣿⣟⣿⡜⠛⠛⠁⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⡄⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢿⣷⣤⡀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡮⠟⣫⣥⢄⡀⣴⣆⠀⠘⣿⣾⣷⡜⣿⣶⠎⠛⣁⠠⠒⠁⠀⠀⠀⠀⠀⠀⢀⣤⠦⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣷⣦⣄⣀⠀⠀⠀⠀⠄⠀⠀⠀⠠⠛ ⠀⠀⠀⠀⠉⠙⠿⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢀⣠⣔⣾⣝⣿⡜⣿⣆⠀⠘⣿⡞⠛⠈⠐⠂⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠊⣹⠿⣷⣴⠀⠀⠀⠁⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⢶⣟⣿⣧⡜⣿⣞⣿⡞⡿⠟⢀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠆⡠⡀⠀⠀⠀⠀⠀⠁⣠⣹⣿⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣶⣤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡐⣿⣼⣿⣿⣿⡜⣿⣆⠈⠛⠋⢁⠰⣄⡀⢲⠀⠀⠀⠀⠀⠀⠀⠒⠛⣿⡞⣆⠀⠀⠀⠀⠀⠹⣿⣿⣀⠀⠀⠀⠀⠀⠉⠒⠤⠄⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣷⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣶⡀⠹⣿⢿⣌⢿⣿⣟⢿⠿⠈⠁⠀⠀⠀⠘⠒⠊⠉⠀⠀⠀⠀⠀⠀⠀⠚⠛⣿⣮⣿⢻⠀⠀⠀⠀⠀⢰⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⢻ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡰⣶⣽⣷⡹⣷⡀⢻⣿⢿⠧⠛⠉⠀⠀⠀⣠⣤⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣬⡝⣿⣿⡿⠃⠀⠀⠀⠀⠀⢻⣿⣿⣿⣆⠀⠀⠀⠀⢀⣠⣶⣄⢰⣦⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣷⡹⣿⣿⣷⡹⠿⠛⠉⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⣿⠛⢇⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣧⠀⠀⠀⣸⣿⣿⡟⢒⡟⣿⣿⣿⣿⣶⣾⠛⠁⡄⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠀⠀⠐⠀⣰⣿⣿⣿⣿⣿⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣽⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣷⡀⠀⢿⣿⡿⣷⡎⣿⣿⣿⣿⣿⣿⡿⠁⣼⡟⠀⠁ ⠀⠆⠲⣶⠏⢷⠶⠴⠽⠿⠷⠠⠐⠀⠀⢀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⡿⠟⠋⠃⠀⠀⠀⠀⠀⠀⠀⠀⠸⡷⣶⣾⣿⣿⠀⠈⠀⢲⣦⣀⣠⡀⠀⠀⠹⣿⣿⣿⣿⣾⢮⡉⠉⠉⠛⠛⠻⠿⠿⠿⣟⡁⣼⡟⠀⣠⣾ ⠀⠀⠀⠉⠸⠻⠟⠁⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⣿⣿⣿⠀⠀⠀⠀⠀⠀⢀⣄⠀⣄⠈⠙⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣾⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⠀⠀⠀⠀⠀⠀⣸⣿⠛⠛⣀⡀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⡶⠀⠀⠀⠀⠀⠀⣀⣤⣤⡶⠏⠁⠀ ⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠉⠀⠀⠰⠋⠀⠀⠀⠀⠀⠀⠀⢠⡼⢛⠑⠃⠀⢀⣠⣴⣶⠿⠟⠋⠁⠀⠀⠀⠀ ⣿⣿⣿⣷⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⢿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣀⠀⠐⣫⣶⡶⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⢀⣠⣴ ⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠿⣿⣿⡄⠀⠁⠐⢶⣦⡀⠀⠀⠀⠀⠀⠰⣾⠏⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠛⠛⠛⠛⠀⠼⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠷⠀⠀⠰⣩⠁⠂⠀⠀⠀⠀⠀⠻⠂⠀⠻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⣀⡠⣾⡻⠗⢠⠀⣤⣀⣤⠀⢀⣠⣰⣶⠿⠟⠛⠋⠙⠉ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠸⠀⠀⠀⠀⠀⠀⢀⣀⡀⣾⣻⡗⠘⢿⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡰⣷⣽⣷⡙⢛⡿⣷⡑⠈⠽⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣽⣋⡙⣛⡿⣷⡌⠀⠀⠀⠀⢀⡠⣶⡸⣿⡽⣿⡽⣿⣿⣷⡙⠿⢛⣬⣆⡀⣄⠀⠀⠀⠀⢀⠀⣀⣄⣀⠀⠀ ⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⣥⡶⣶⡹⣿⢿⣎⣩⣝⣿⡞⠛⠋⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠙⢓⠉⣠⡄⠈⢿⣿⣿⠿⠀⠀⠁⢰⠸⣾⣿⣿⠟⠃⠀ ⠀⠀⢈⡉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⣠⣶⣦⠀⠹⣿⡿⠃⢻⣿⢻⠿⠉⠉⢀⡀⣴⡄⠘⣿⣿⣦⠘⣿⣆⠹⠿⠈⠉⠀⠀⠀⠀⠛⠃⠀⠀⠙⠛⠷⠤⠄⠀⠚⠉⠛⠛⠛⠓⠺⠖ ⠀⠀⠐⠲⠶⠿⠶⠶⠂⠉⠀⠀⠈⠉⠉⠙⠻⠿⣿⣿⣿⡿⠟⣫⣵⡾⠿⠽⢷⣶⣦⡀⠸⣿⠄⣨⡉⢀⣀⡁⣶⡽⣿⡜⣿⣆⠹⣷⡿⡷⠘⠋⠀⠀⠁⢶⣦⣦⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣁⠀⣾⣟⣉⠹⣿⡄⠠⠰⣷⡿⠃⠀⠀⣀⣥⡄⣿⡽⢟⡘⣿⡞⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣜⢳⣀⠀⡀⠁⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⢿⣟⣀⠹⡿⠄⠀⠀⠀⣠⣶⣶⡝⣿⣴⠜⣿⣟⣿⡜⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢾⣿⣿⣿⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢿⣷⣤⡀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡮⠟⣫⡥⢄⡀⣴⡆⠀⠘⣿⣾⣷⡜⣿⣶⠎⠛⢁⠠⠒⠁⠀⠀⠀⠀⠀⠀⢀⣤⠢⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣿⣦⣤⣀⠀⠀⠀⠀⠄⠀⠀⠀⠠⠛ ⠀⠀⠀⠀⠉⠙⠿⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢀⣠⣔⣾⣝⣿⡜⣿⣆⠀⠘⣿⡞⠛⠈⠐⠂⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠊⣹⠿⣷⣴⠀⠀⠀⠐⠂⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⢶⣟⣿⣧⡜⣿⣞⣿⡞⡿⠟⠀⠂⠀⠀⠀⠀⠀⠀⠀⠘⠄⡠⡀⠀⠀⠀⠀⠀⠀⣠⣹⣿⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢿⣿⣿⣿⣷⣤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡐⣿⣼⣿⣿⣿⡜⣿⣆⠈⠛⠋⢁⠑⢤⡀⠱⠆⠀⠀⠀⠀⠀⠀⠚⠛⣷⡽⣄⠀⠀⠀⠀⠀⠹⣿⣿⣀⠀⠀⠀⠀⠀⠁⠒⠤⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣷⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣶⡀⠹⣿⢿⣌⢿⣿⣟⢿⠿⠈⠁⠀⠀⠀⠈⠓⠒⠉⠀⠀⠀⠀⠀⠀⠀⠚⠟⢿⣎⣿⢻⠀⠀⠀⠀⠀⢰⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⠯ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡰⣶⣽⣷⡹⣷⡀⢻⣿⢿⠧⠛⠉⠀⠀⠀⢠⣤⣤⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣬⡝⣿⣷⡿⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣆⠀⠀⠀⠀⠀⣠⣶⣄⢰⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣷⡹⣿⣿⣷⡹⠿⠛⠉⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⣿⠛⢆⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣧⠀⠀⠀⣸⣿⣿⡿⢀⠟⣿⣿⣿⣿⣶⣶⠛⠁⡄⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣭⣽⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣷⡀⠀⢿⣿⡿⣷⠎⣿⣿⣿⣿⣿⣿⡿⠁⣼⡗⠀⠉ ⠀⠆⠲⣶⠏⢷⠶⠴⠽⠿⠷⠀⠘⠀⠀⢀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⠟⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠷⣦⣾⣿⣿⠀⠀⠀⢶⣤⣀⣠⡀⠀⠀⠹⣿⣿⣿⣿⣶⢮⡉⠁⠙⠛⠛⠻⠿⢿⣿⣿⠁⣼⡟⠀⣠⣾ ⠀⠀⠀⠀⠁⠸⠻⠋⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣀⠀⣄⠉⠙⠃⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣼⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⣠⣿⠟⠛⢀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⡴⠀⠀⠀⠀⠀⠀⠀⣀⣀⣽⠟⠑⠀ ⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠉⠀⠀⢀⠞⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠳⠂⠀⠀⣀⣠⣴⣶⠿⠟⠋⠁⠀⠀⠀ ⣿⣿⣿⣿⣷⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⢐⣋⣤⣴⣶⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⢀⣠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⢿⣿⣿⠀⠘⠒⠲⣶⣄⠀⠀⠀⠀⠀⠠⣴⡿⠋⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠿⠿⠿⠅⠠⠯⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠷⡦⠀⠀⢎⣙⠓⠄⠀⠀⠀⠀⠸⠇⠀⠙⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⣾⡻⠗⠀⡀⠀⠀⠀⠀⠀⡀⢠⣶⣾⡿⠿⠛⠛⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠉⡀⠀⠀⠀⠀⠀⢀⣀⡀⣾⣻⡗⠈⢿⡆⠀⠀⠀⠀⠀⠀⠀⣀⣤⡰⣷⣽⣷⡙⢛⡿⣷⡘⠿⠿⠋⠚⠙⠋⠉⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣽⣋⡙⣛⡿⣷⡄⠇⠀⠀⠀⢀⡠⣶⡸⣿⡽⣿⡽⣿⣿⣷⡙⠿⢛⣤⣆⡀⣀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀ ⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⣤⡶⣶⡹⣿⢿⣎⣩⣝⣿⡞⠛⠋⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠙⢓⠉⣀⡀⠈⢿⣿⣿⡿⠀⠀⠁⢰⠸⣼⣿⣿⡿⠇⠀ ⠀⠀⠀⡀⠉⠙⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣠⣶⣦⠀⠹⣿⡿⠃⢻⣿⢻⠿⠉⠉⢀⡀⣴⡄⠘⣿⣿⣦⠘⣿⣆⠹⠿⠈⠉⠀⠀⠀⠀⠛⠃⠀⠈⠛⠻⠦⠤⠄⠀⠚⠛⠛⠻⠿⠷⠶⠦ ⠀⠀⠀⠒⢶⡶⠶⠶⠄⠉⠉⠉⠉⠉⠉⠛⠻⢿⣿⣿⣿⠿⢟⣫⣵⡾⠿⠽⢷⣶⣦⡀⠘⣿⠄⣨⠉⢀⣀⡁⣶⡽⣿⡜⣿⣆⠹⣷⡿⡷⠘⠉⠀⠀⠀⠻⣶⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⠀⣾⣟⣋⠹⣿⡌⠀⡰⣷⡿⠃⠀⠀⣀⣥⡄⣿⡽⢟⡘⣿⡞⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣾⣷⡀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⢿⣟⣀⠹⡿⠄⠀⠀⠀⣠⣴⣶⡝⣿⣴⠜⣿⣟⣿⡜⠛⠛⠁⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⣿⣿⣶⣄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢿⣷⣤⡀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡮⠟⣫⠁⢀⡀⣴⡆⠀⠘⣿⣾⣷⡜⣿⣶⠎⠛⣁⡈⠖⠁⠀⠀⠀⠀⠀⠀⢀⣦⡢⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣶⣤⣄⡀⠀⠀⠀⠄⠀⠀⠀⠀⠜ ⠀⠀⠀⠀⠉⠙⠿⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢀⣠⣔⣾⣝⣿⡜⣿⣆⠀⠘⣿⡞⠛⠈⠰⠂⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠊⣹⠿⣷⣼⡆⠀⠀⠐⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣷⣶⣤⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⢶⣟⣿⣧⡜⣿⣞⣿⡞⡿⠟⠀⠔⠀⠀⠀⠀⠀⠀⠀⠸⢄⢤⡀⠀⠀⠀⠀⠀⠀⣠⣽⣿⡆⠀⠀⠈⠒⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣷⣦⣄⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡐⣿⣼⣿⣿⣿⡜⣿⣆⠈⠛⠋⠁⡈⠲⣀⠀⠶⠀⠀⠀⠀⠀⠀⠀⠚⣦⠹⣄⠀⠀⠀⠀⠀⠹⣿⣿⣁⠀⠀⠀⠀⠀⠑⠢⠤⠀⠀⠀⡀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣿⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣶⡀⠹⣿⢿⣌⢿⣿⣟⢿⠿⠈⠁⠀⠀⠀⠀⠛⠒⠊⠁⠀⠀⠀⠀⠀⠀⠒⠿⣶⣌⡇⢻⠀⠀⠀⠀⠀⢠⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠃⠤⡀⠀⠀⠀⠀⠉⠿⠿⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡰⣶⣽⣷⡹⣷⡀⢻⣿⢿⠧⠛⠉⠀⠀⠀⠀⣤⣤⣶⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣐⣹⣿⣷⡿⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣆⠀⠀⠀⠀⠀⣠⣤⡄⢴⣄⣠⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣷⡹⣿⣿⣷⡹⠿⠛⠉⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣟⠟⣄⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣧⠀⠀⠀⣸⣿⣿⡿⠈⠟⣿⣿⣿⣶⣦⣴⠞⠃⡀⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠀⠀⠀⠄⢀⣾⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⣩⣭⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣷⡀⠀⣿⣿⡿⣧⠆⢹⣿⣿⣿⣿⣿⡿⠀⣸⡇⠀⠉ ⠀⠆⠲⣶⠏⢷⠶⠴⠽⠿⠷⠀⠐⠀⠀⢀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⠟⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⣤⣿⣿⣿⠀⠀⠀⣶⣤⣀⣀⡀⠀⠀⠹⣿⣿⣿⣿⣶⣌⡙⠑⠛⠒⠛⢿⣿⣿⣿⡿⠁⣴⡟⠀⢀⣼ ⠀⠀⠀⠀⠀⠀⡿⠟⠁⣿⣿⣿⢿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣿⣿⡇⠀⠀⠀⠀⠀⠀⣀⠀⣄⠉⠙⠂⠘⠁⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠻⢿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⣠⣿⠿⠛⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⡤⠀⠀⠀⠀⠀⠀⠀⣀⣀⣽⡟⠁⠁ ⣷⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡇⠀⠀⠀⠀⠀⠉⠁⠀⠀⠞⠀⠀⠀⠀⠀⠀⠀⢀⣴⠾⡣⠆⠀⠀⢀⣀⣤⣶⡾⠿⠋⠁⠀⠀⠀ ⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⠱⣊⣠⣤⣶⠾⠟⠛⠉⠁⠀⠀⠀⠀⠀⢀⣠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⢿⣿⣿⡆⠀⠒⠰⢶⣤⡀⠀⠀⠀⠀⠀⢤⡿⠋⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⠾⣿⣿⠉⠰⠪⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⢦⠄⠀⠰⣙⡓⠆⠀⠀⠀⠀⠈⠷⠀⠘⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⣾⡻⠇⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣾⣿⠿⠿⠛⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⢡⠈⠀⠀⠀⠀⢀⣀⡀⣾⣻⡗⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⣀⣤⡰⣷⣽⣷⡙⢛⡿⣷⡘⠶⡾⠋⠓⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣽⣋⡙⣛⡿⣷⡄⠇⠀⠀⠀⢀⡠⣶⡸⣿⡽⣿⡽⣿⣿⣷⡙⠿⢛⣐⣆⡀⣀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀ ⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⣤⡶⣶⡹⣿⢿⣎⣩⣝⣿⡞⠛⠋⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠙⢓⠉⢀⡀⠘⢿⣿⣷⣿⠀⠀⠀⢠⠸⣼⣿⣿⡿⠇⠀ ⠀⠀⠀⡀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⣠⣶⣦⠀⠹⣿⡿⠃⢻⣿⢻⠿⠉⠉⢀⡀⣴⡄⠘⣿⣿⣦⠘⣿⣆⠹⠿⠈⠉⠀⠀⠀⠀⠛⠃⠀⠈⠛⠻⠶⢀⠄⠀⠚⠚⠻⠿⠿⠶⠶⠦ ⠀⠀⠀⠒⠴⠶⠶⠶⠄⠉⠉⠉⠉⠉⠙⠛⠻⢿⣿⣿⣿⠿⢛⣫⣵⡾⢿⠽⢷⣶⣦⡀⠘⣿⠄⣨⠉⢀⣀⡁⣶⡽⣿⡜⣿⣆⠹⣷⡿⡷⠘⠉⠀⠀⠀⠻⡶⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣁⠀⣾⣟⣋⠹⣿⡌⠀⠰⣷⡿⠃⠀⠀⣀⣥⡄⣿⡽⢟⡘⣿⡞⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣾⣷⡀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⢿⣟⣀⠹⡿⠄⠈⠐⠀⣠⣶⣶⡝⣿⣴⠜⣿⣟⣿⡜⠛⠛⠁⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠐⠾⣿⣿⣶⣄⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢿⣷⣤⡀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡮⠟⡫⠁⢀⡀⣴⡆⠀⠘⣿⣾⣷⡜⣿⣶⠎⠛⣁⠈⠖⠁⠀⠀⠀⠀⠀⠀⢀⣦⡢⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⢀⠾ ⠀⠀⠀⠀⠉⠙⠿⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢀⣠⣔⣾⣝⣿⡜⣿⣆⠀⠘⣿⡞⠛⠈⠰⠂⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠊⣹⠿⣷⣬⡆⠀⠀⠒⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⢶⣟⣿⣧⡜⣿⣞⣿⡞⡿⠟⠀⢰⠀⠀⠀⠀⠀⠀⠀⠸⢄⢄⡀⠀⠀⠀⠀⠀⠀⣠⣽⣿⡇⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⣿⣿⣿⣿⣦⣄⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡐⣿⣼⣿⣿⣿⡜⣿⣆⠈⠛⠋⠁⠀⠲⣆⡀⠲⠀⠀⠀⠀⠀⠀⠀⠲⣄⢻⣄⠀⠀⠀⠀⠀⠹⣿⣿⣁⠀⠀⠀⠀⠀⠀⠢⢄⠀⠀⠀⡀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣶⡀⠹⣿⢿⣌⢿⣿⣟⢿⠿⠈⠁⠀⠀⠀⠀⡘⠊⠀⠁⠀⠀⠀⠀⠀⠀⠒⠶⣶⡌⡮⢿⠀⠀⠀⠀⠀⢠⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⢤⣀⠀⠀⠀⠀⠉⠛⠿⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡰⣶⣽⣷⡹⣷⡀⢻⣿⢿⠧⠛⠉⠀⠀⠀⠀⣤⣶⣶⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣐⢹⣿⣣⡿⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣆⠀⠀⠀⠀⠀⣠⣤⡄⢤⣄⣀⣀⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣷⡹⣿⣿⣷⡹⠿⠛⠉⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣾⣟⠿⡅⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣧⠀⠀⠀⣸⣿⣿⡿⢈⠻⣿⣿⣿⣶⣤⣴⠶⠂⡀⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠀⠀⠀⠄⢀⣼⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣉⣉⣽⣿⡆⠈⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣷⡀⠀⣿⣿⡿⣧⠆⢹⣿⣿⣿⣿⣿⡿⠀⣰⡇⠀⠉ ⠀⠆⠲⣶⠏⢷⠶⠰⠽⠿⠷⠀⠐⠀⠀⢀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⡟⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⣤⣿⣿⣿⠀⠀⠀⣦⣤⣀⣀⠀⠀⠀⠹⣿⣿⣿⣿⣶⣌⠛⠒⠛⠲⠛⢿⣿⣿⣿⡿⠁⣼⡟⠀⢀⣼ ⠀⠀⠀⠀⠈⠀⠺⠿⠋⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⣿⣿⠀⠀⠀⠀⠀⠀⣀⠀⣄⠉⠙⠂⠘⠁⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣸⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⠀⠀⠀⠀⠀⢠⣿⠟⠛⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⡤⠀⠀⠀⠀⠀⠀⠀⠀⣀⣽⡟⠛⠉ ⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⠀⠀⠀⠀⠀⠋⠀⠀⠀⠞⠀⠀⠀⠀⠀⠀⠀⢀⣴⠶⠣⠆⠀⠀⠀⣀⣤⣴⣶⠿⠛⠉⠀⠀⠀ ⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⠡⠚⣀⣠⣤⡶⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⣀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⡿⣿⣿⣇⠀⠑⠂⠲⣦⡀⠀⠀⠀⠀⠠⢠⣼⠟⢁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣩⣿⣿⣿⠉⠡⠚⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢶⡄⠀⠠⣎⡙⠲⠀⠀⠀⠀⠈⠿⠀⠈⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⣀⡠⣾⡻⠗⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⠿⠿⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢉⡆⠀⠀⠀⠀⢀⣀⡀⣾⣻⡗⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⣀⣤⡰⣷⣽⣷⡙⢛⡿⣷⡐⠶⡖⠠⠜⠛⠛⠉⠈⠉⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣽⣋⡙⣛⡿⣷⡄⠀⠀⠀⠀⢀⡠⣶⡸⣿⡽⣿⡽⣿⣿⣷⡙⠿⢛⣐⣆⠀⣀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀ ⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⣤⡶⣶⡹⣿⢿⣎⣩⣝⣿⡞⠛⠋⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠙⢓⠉⢀⡀⠈⢿⣿⣷⣿⠀⠀⠀⢠⢸⣴⣿⣿⡿⠇⠀ ⠀⠀⠀⠀⠈⠋⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣠⣶⣦⠀⠹⣿⡿⠃⢻⣿⢻⠿⠉⠉⢀⡀⣴⡄⠘⣿⣿⣦⠘⣿⣆⠹⠿⠈⠉⠀⠀⠀⠀⠛⠃⠀⠈⠛⠻⠦⢀⡀⠀⠘⠚⠻⠿⠿⠶⠶⠦ ⠀⠀⠀⠀⠰⠶⠶⠶⠄⠈⠉⠉⠉⠉⠙⠛⠻⢿⣿⣿⣿⠿⢟⣫⣵⡾⢿⠽⢷⣶⣦⡀⠘⣿⠄⣨⠉⢀⣀⡁⣶⡽⣿⡜⣿⣆⠹⣷⡿⡷⠘⠉⠀⠀⠀⠛⠶⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣉⠀⣾⣟⣉⠹⣿⡜⠁⠰⣷⡿⠃⠀⠀⣀⣥⡄⣿⡽⢟⡘⣿⡞⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣾⣷⡀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⢿⣟⣀⠹⡿⠄⠈⠐⠀⣠⣴⣶⡝⣿⣴⠜⣿⣟⣿⡜⠛⠛⠁⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠐⠾⣿⣿⣶⣄⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢿⣷⣤⡀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡮⠟⠋⠁⢀⡀⣴⡆⠀⠘⣿⣾⣷⡜⣿⣶⠎⠛⣁⠈⠖⠁⠀⠀⠀⠀⠀⠀⢀⣦⡢⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣷⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⢀⠴ ⠀⠀⠀⠀⠉⠙⠿⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢀⣠⣔⣾⣝⣿⡜⣿⣆⠀⠘⣿⡞⠛⠈⠰⠂⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠊⣹⠿⣿⣬⡆⠀⠀⠂⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣶⣦⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⢶⣟⣿⣧⡜⣿⣞⣿⡞⡿⠟⠀⢠⠀⠀⠀⠀⠀⠀⠀⢸⢄⢄⡀⠀⠀⠀⠀⠀⠀⣠⣽⣿⡇⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣶⣄⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡐⣿⣼⣿⣿⣿⡜⣿⣆⠈⠛⠋⠁⢀⠒⣆⡀⠳⠀⠀⠀⠀⠀⠀⠀⠐⠄⢻⣄⠀⠀⠀⠀⠀⠹⣿⣿⣁⠀⠀⠀⠀⠈⠀⠠⢄⠀⠀⠀⡀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣶⡀⠹⣿⢿⣌⢿⣿⣟⢿⠿⠈⠁⠀⠀⠀⢀⡘⠋⠀⠀⠀⠀⠀⠀⠀⠠⠖⠲⣦⡀⡾⢿⠀⠀⠀⠀⠀⢠⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⢤⣀⠀⠀⠀⠀⠈⠻⠿⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡰⣶⣽⣷⡹⣷⡀⢻⣿⢻⠧⠛⠉⠀⠀⠀⠀⣰⣶⣶⣟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⢸⣻⣣⡿⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣆⠀⠀⠀⠀⠀⣠⣤⡄⣤⣄⣀⣀⠈⠁⠒⠀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣷⡹⣿⣿⣷⡹⠿⠛⠉⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢸⣏⠿⡅⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣦⠀⠀⠀⣸⣿⣿⡟⢈⠻⣿⣿⣷⣶⣤⣴⠶⠂⠂⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠀⠀⠀⠄⢀⣼⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⣙⣺⣯⡆⠈⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣷⡀⠀⣿⣿⡿⣇⠄⢱⣿⣿⣿⣿⣿⡿⠀⣰⡇⠀⠉ ⠀⠆⠲⣶⠏⢷⠖⠴⠽⠿⠷⠀⠐⠀⠀⢀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⡟⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⢥⣤⣿⢿⣷⠀⠀⠀⣤⣄⡀⣀⠀⠀⠀⠹⣿⣿⣿⣿⣶⣍⠛⠒⠛⠲⠻⣿⣿⣿⣿⡿⠁⣼⡟⠀⢀⣼ ⠀⠀⠀⠀⠀⠀⠸⠿⠛⠑⡿⣿⡿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⠀⠀⠀⠀⠀⠀⣀⠀⣄⠉⠙⠃⠘⠃⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢺⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⢠⣿⠿⠻⠁⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⣀⣽⡛⠛⠋ ⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠋⠁⠀⠀⠜⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠣⠆⠀⠀⠀⢀⣠⣤⣶⡿⠟⠋⠁⠀⠀ ⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⠡⠞⢀⣀⣤⣶⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⢀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⢿⣿⣿⣿⠀⠀⠂⠐⢶⣄⠀⠀⠀⠀⠀⢠⣼⠟⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣩⣿⣿⡿⠉⠡⠶⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠷⣦⠀⠀⠤⡩⠙⠂⠀⠀⠀⠀⠿⠀⠈⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⡡⣾⡻⠇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⡿⠿⠿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⡰⠀⠀⠀⠀⢀⣀⡀⣾⣻⡗⠀⠹⣃⠀⠀⠀⠀⠀⠀⠀⣀⣤⡰⣷⣽⣷⡙⢛⡿⣷⡀⣴⡶⠲⠠⠖⠛⠋⠉⠉⠉⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣽⣋⡙⣛⡿⣷⡄⠸⠀⠀⠀⢀⡠⣶⡸⣿⡽⣿⡽⣿⣿⣷⡙⠿⢛⣐⡄⠀⣀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀ ⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⣤⡶⣶⡹⣿⢿⣎⣩⣝⣿⡞⠛⠋⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠙⢓⠉⢀⡀⠘⢿⣿⣷⣿⠀⠀⠀⢠⢸⣴⣿⣿⡿⠆⠀ ⠀⠀⠀⢀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣠⣶⣦⠀⠹⣿⡿⠃⢻⣿⢻⠿⠉⠉⢀⡀⣴⡄⠘⣿⣿⣦⠘⣿⣆⠹⠿⠈⠉⠀⠀⠀⠀⠻⠃⠀⠈⠛⠿⣦⢀⡀⠀⠘⠚⠻⠿⠿⠦⢤⡦ ⠀⠀⠀⠀⠠⠶⢶⠶⠄⠈⠉⠉⠉⠉⠙⠛⠻⢿⣿⣿⣿⡿⢟⣫⣵⡾⢿⠽⢷⣶⣦⡀⠘⣿⠄⣨⠉⢀⣀⡁⣶⡽⣿⡜⣿⡆⠹⣷⡿⡷⠘⠉⠀⠀⠀⠛⠷⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣉⠀⣾⣟⣉⠹⣿⡜⠃⠰⣷⡿⠃⠀⠀⣀⣥⡄⣿⡽⢟⡘⣿⡞⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣾⣷⡀⠀⠀⠂⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⢿⣟⣀⠹⡿⠄⠈⠐⠂⣠⣴⣶⡝⣿⣴⠜⣿⣟⣿⡜⠛⠛⠁⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠐⠾⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢿⣷⣤⡀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡮⠟⠋⠁⢀⡀⣴⡆⠀⠘⣿⣾⣷⡜⣿⣶⠎⠛⣁⠈⠖⠁⠀⠀⠀⠀⠀⠀⢀⣦⡠⡀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⢀⠴ ⠀⠀⠀⠀⠉⠙⠿⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢀⣠⣔⣾⣝⣿⡜⣿⣆⠀⠘⣿⡞⠛⠈⠰⠂⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠎⣹⠿⣿⣮⡆⠀⠀⠂⠄⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⢶⣟⣿⣧⡜⣿⣞⣿⡞⡿⠟⠀⢠⠀⠀⠀⠀⠀⢄⠀⢰⡄⣄⡀⠀⠀⠀⠀⠀⠀⣠⣽⣿⡇⠀⠀⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣷⣤⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡐⣿⣼⣿⣿⣿⡜⣿⣆⠈⠛⠋⠀⢠⠒⣦⡀⠳⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣄⠀⠀⠀⠀⠀⠹⣿⣿⣁⠀⠀⠀⠀⠀⠂⠤⣄⠀⠀⠀⡀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣶⡀⠹⣿⢿⣌⢿⣿⣟⢿⠿⠈⠁⠀⠀⠀⢀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠠⢖⠒⣦⢀⣿⣿⠀⠀⠀⠀⠀⢠⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⣦⣀⠀⠀⠀⠀⠈⠹⠿⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡰⣶⣽⣷⡹⣷⡀⢻⣿⢿⠧⠛⠉⠀⠀⠀⠀⣰⣶⣾⣟⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢀⢸⣻⣫⣿⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣆⠀⠀⠀⠀⠀⣀⣤⡀⣤⣄⣀⡀⠈⠉⠒⠤⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣷⡹⣿⣿⣷⡹⠿⠛⠉⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢸⡇⠿⡅⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣦⠀⠀⠀⣸⣿⣿⡗⢈⠿⣿⣿⣷⣦⣤⣤⠶⠂⠒⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠀⠀⠐⠄⢀⣼⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣛⣺⣯⡆⠈⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣷⡀⠀⣿⣿⡿⡧⠄⢹⣿⣿⣿⣿⣿⣿⠀⣰⡇⠀⠙ ⠀⠆⠲⣶⠏⢷⠖⠴⠽⠿⠷⠀⠐⠀⠀⢄⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣉⣿⢻⣧⠀⠁⠀⣦⣀⡀⣀⠀⠀⠀⠹⣿⣿⣿⣿⣦⣝⠛⠐⠛⠶⠿⣿⣿⣿⣿⡿⠁⣼⡟⠁⢀⣼ ⠀⠀⠀⠀⠀⠈⠁⡿⠟⠁⢿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣦⡀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⣿⣿⠀⠀⠀⠀⠀⠀⣀⠀⣀⠉⠙⠃⠘⠃⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢺⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⢀⣿⡷⠿⠁⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⣀⡬⢓⠿⠛ ⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠛⠁⠀⠀⠜⠀⠀⠀⠀⠀⠀⠀⢀⣠⠶⠢⠇⠀⠀⠀⠀⣀⣤⣴⣿⠟⠋⠁⠀⠀ ⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⢀⣀⠡⠞⠀⣀⣠⣴⡶⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⣿⣿⣿⡆⠀⠂⠀⠲⣦⡀⠀⠀⠀⠀⢀⣴⡿⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡟⠋⠡⠶⡾⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣶⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⢶⠄⠀⡐⢨⠁⠓⠀⠀⠀⠀⠛⠀⠀⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣉⡡⣾⡻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⡿⠿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀⠊⠀⠀⠀⢀⣀⡀⣾⣻⡗⠀⠙⢡⠀⠀⠀⠀⠀⠀⠀⣀⣤⡰⣷⣽⣷⡙⢛⡿⣷⡀⣴⡶⠠⠠⠖⠞⠛⠉⠉⠉⠁⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣽⣋⡙⣛⡿⣷⡄⠸⠀⠀⠀⢀⡠⣶⡸⣿⡽⣿⡽⣿⣿⣷⡙⠿⢛⣐⡄⠀⣀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀ ⠙⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⣤⡶⣶⡹⣿⢿⣎⣩⣝⣿⡞⠛⠋⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠙⢓⠉⢀⡀⠘⢿⣿⣷⣿⠀⠀⠀⢀⢰⣴⣾⣿⡾⠆⠀ ⠀⠀⠀⢀⡈⠙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⣠⣶⣦⠀⠹⣿⡿⠃⢻⣿⢻⠿⠉⠉⢀⡀⣴⡄⠘⣿⣿⣦⠘⣿⣆⠹⠿⠈⠉⠀⠀⠈⠀⠻⠃⠀⠈⠻⠿⣶⢀⡀⠀⠼⠒⠻⠿⠿⠧⢤⡤ ⠀⠀⠀⠀⢠⡶⣶⠶⠄⠈⠉⠉⠉⠉⠙⠛⠻⢿⣿⣿⣿⠿⢟⣫⣵⡾⢿⠽⢷⣶⣦⡀⠘⣿⠄⣨⠉⢀⣀⡀⣶⡽⣿⡜⣿⡆⠹⣷⡿⡷⠘⠉⠀⠀⠀⠘⠶⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣉⠀⣾⣟⣉⠹⣿⡜⠁⠰⣷⡿⠃⠀⠀⣀⣥⡄⣿⡽⢟⡘⣿⡞⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣾⣷⡀⠀⠀⠂⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⢿⣟⣀⠹⡿⠄⠈⠐⠂⣠⣴⣶⡝⣿⣴⠜⣿⣟⣿⡜⠛⠛⠁⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠐⠾⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢿⣷⣤⡀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡮⠟⠋⠁⢀⡀⣴⡆⠀⠘⣿⣾⣷⡜⣿⣶⠎⠛⣁⠀⠖⠁⠀⠀⠀⠀⠀⠀⢀⣦⡠⡀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠴ ⠀⠀⠀⠀⠈⠙⠿⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢀⣠⣔⣾⣝⣿⡜⣿⣆⠀⠘⣿⡞⠛⠈⠰⠂⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠎⢙⠿⣿⣬⡆⠀⠀⠂⠄⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⢶⣟⣿⣧⡜⣿⣞⣿⡞⡿⠟⠀⢰⠀⠂⠀⠀⠀⣄⠀⢰⡤⣄⠀⠀⠀⠀⠀⠀⠀⣠⣽⣿⡇⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣷⣤⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡐⣿⣼⣿⣿⣿⡜⣿⣆⠈⠛⠋⠀⢠⠐⢦⣀⠑⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣄⠀⠀⠀⠀⠀⠹⣿⣿⣃⠀⠀⠀⠀⠀⠂⠤⣀⠀⠀⠀⡀⠀⠀⠀⠀⠉⠛⢿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣶⡀⠹⣿⢿⣌⢿⣿⣟⢿⠿⠈⠁⠀⠀⠀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠠⢔⠒⣄⢸⣿⣿⠀⠀⠀⠀⠀⢠⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠳⣦⣀⠀⠀⠀⠀⠈⠹⠿⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡰⣶⣽⣷⡹⣷⡀⢻⣿⢿⠧⠛⠉⠀⠀⠀⢀⣴⣶⣾⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢜⣺⣯⣿⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣆⠀⠀⠀⠀⠀⣀⣤⡀⣤⣀⣀⡀⠉⠉⠒⠤⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣷⡹⣿⣿⣷⡹⠿⠛⠉⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢸⡿⡿⡅⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣦⠀⠀⠀⣼⣿⣿⡷⢈⠿⣿⣿⣷⣦⣤⣤⠶⠂⠒⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠀⠀⠐⠄⢀⣾⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣛⣺⢯⡆⠈⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣧⡀⠀⣿⣿⡿⡧⠄⢹⣿⣿⣿⣿⣿⣷⠀⣰⡇⠀⠛ ⠀⠆⠲⣶⠏⢷⠶⠴⠽⠿⠧⠀⠐⠀⠀⢄⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⠟⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⣿⢻⣇⠀⠁⠀⣤⣀⡀⣀⠀⠀⠀⠹⣿⣿⣿⣿⣦⣙⠛⠐⠻⠶⠿⣿⣿⣿⣿⡿⠁⣴⡟⠁⢀⣼ ⠀⠀⠀⠀⠀⠀⠉⢸⠿⠋⢸⣿⣿⡿⣿⣿⣿⣿⣿⣿⣶⣄⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⣿⣿⣿⡇⠀⠀⠀⠀⠀⡀⠀⢀⠉⠙⠃⠘⠃⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢺⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡇⠀⠀⠀⠀⢀⣿⡷⠿⠁⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⣀⡬⠒⠿⠛ ⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⠃⠀⠀⠀⠀⠛⠁⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⢲⠇⠀⠀⠀⠀⢀⣴⣾⣿⠟⠋⠁⠀⠀ ⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⢿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⢀⣀⠡⠞⠁⢀⣠⣤⣶⠾⠟⠋⠉⠀⠀⠀⠀⠀⠀ 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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠼⠀⠀⠀⢀⣀⡀⣾⣻⡗⠀⠈⡑⠀⠀⠀⠀⠀⠀⠀⣀⣤⡰⣷⣽⣷⡙⢛⡿⣷⡀⣤⠤⠠⠀⠤⠶⠚⠙⠛⠉⠉⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣽⣋⡙⣛⡿⣷⡄⠀⠀⠀⠀⢀⡠⣶⡸⣿⡽⣿⡽⣿⣿⣷⡙⠿⢛⣐⡄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⣤⡶⣶⡹⣿⢿⣎⣩⣝⣿⡞⠛⠋⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠙⢓⠉⠀⡀⠘⣿⣿⣷⣿⠀⠀⠐⢀⢰⣰⣾⣿⡶⡆⠀ ⠀⠀⠀⢀⡈⠉⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣠⣶⣦⠀⠹⣿⡿⠃⢻⣿⢻⠿⠉⠉⢀⡀⣴⡄⠘⣿⣿⣦⠘⣿⣆⠹⠿⠈⠉⠀⠈⠉⠀⠿⠇⠀⠈⠿⠿⣆⣀⡀⠀⠼⠐⠿⠿⠿⢧⣤⡤ ⠀⠀⠀⠀⠠⠷⠶⠶⠄⠈⠉⠉⠉⠉⠙⠛⠻⢿⣿⣿⣿⠿⢛⣫⣵⡾⢿⠽⢷⣶⣦⡀⠘⣿⠄⣨⠉⢀⣀⡁⣶⡽⣿⡜⣿⡆⠹⣷⡿⡷⠘⠉⠀⠀⠀⠈⠶⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣉⠀⣾⣟⣉⠹⣿⡜⠀⠰⣷⡿⠃⠀⠀⣀⣥⡄⣿⡽⢟⡘⣿⡞⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⢾⣦⡀⠀⠀⠂⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⢿⣟⣀⠹⡿⠄⠉⠐⠀⣠⣶⣶⡝⣿⣴⠜⣿⣟⣿⡜⠛⠛⠁⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠐⠾⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢿⣷⣤⡀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡮⠟⠋⠁⢀⡀⣴⡆⠀⠘⣿⣾⣷⡜⣿⣶⠎⠛⣁⠈⠖⠁⠀⠀⠀⠀⠀⠀⢀⣦⡠⡀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠴ ⠀⠀⠀⠀⠉⠙⠟⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢀⣠⣔⣾⣝⣿⡜⣿⣆⠀⠘⣿⡞⠛⠈⠰⠂⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠎⢙⠿⣿⣮⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣷⣦⣤⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⢶⣟⣿⣧⡜⣿⣞⣿⡞⡿⠟⠀⠠⠀⠀⠀⠀⠀⡀⠀⣶⣀⡀⠀⠀⠀⠀⠀⠀⠀⣠⣽⣿⡇⠀⠀⠐⠆⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣷⣦⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡐⣿⣼⣿⣿⣿⡜⣿⣆⠈⠛⠋⠁⢀⠐⢦⡀⠙⠀⠀⠀⠀⠁⠀⠈⠈⣽⣷⡄⠀⠀⠀⠀⠀⠹⣿⣿⡃⠀⠀⠀⠀⠀⠀⢄⣀⠀⠀⠀⡀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣶⡀⠹⣿⢿⣌⢿⣿⣟⢿⠿⠈⠁⠀⠀⠀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠠⠤⠤⡀⢸⣿⣿⠀⠀⠀⠀⠀⢠⣿⣿⣿⣆⠀⠈⠀⠀⠀⠀⠀⠀⠀⠈⠛⠷⣦⣄⠀⠀⠀⠀⠈⠙⠿⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡰⣶⣽⣷⡹⣷⡀⢻⣿⢻⠧⠛⠉⠀⠀⠀⢀⣴⣷⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⢸⣯⣿⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣄⠀⠀⠀⠀⠀⢀⣀⡀⣤⡀⣀⠈⠉⠙⠲⢤⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣷⡹⣿⣿⣷⡹⠿⠛⠉⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡖⢾⡇⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣦⠀⠀⠀⣼⣿⣿⡇⢘⢿⣿⣿⣶⣤⣄⣤⡾⠀⠒⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠀⠀⠐⠀⣠⣾⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠃⣿⢱⡄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣧⡀⠠⣿⣿⣿⡧⠄⢹⣿⣿⣿⣿⣿⣷⠀⣰⡇⠀⠛ ⠀⠆⠲⣶⠏⢷⠶⠴⠽⠿⠷⠀⠐⠀⠀⢄⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⠟⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⢉⣿⣿⡇⠀⠁⠀⣦⣀⠀⣀⠀⠀⠀⠹⣿⣿⣿⣿⣦⡛⠻⠱⠿⠴⠾⣿⣿⣿⣿⡿⠁⣴⡿⠁⠀⣴ ⠀⠀⠀⠀⠀⠀⠈⠁⢿⡿⠋⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⡇⠀⠀⠀⠀⠀⡀⠀⢀⠉⠙⠃⠘⠃⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⢀⣿⡷⠾⠁⠀⠀⠀⠀⠀⠱⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠑⠾⠟ ⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡇⠀⠀⠀⠀⠚⠉⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⢖⠅⠀⠀⠀⠀⢀⣐⣶⣿⠿⠛⠉⠀⠀ ⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⢿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠩⠖⠁⢀⣀⣤⣶⠾⠟⠋⠉⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢿⣿⣿⣿⡀⠀⠀⠀⠀⢤⠀⠀⠀⠀⠀⣠⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢛⣿⣿⡿⠛⠉⠴⣶⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠷⣦⠀⢀⡸⠠⠀⠁⠀⠀⠀⠈⠃⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣉⡡⣾⡻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⠿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠨⠀⠀⠀⢀⣀⡀⣾⣻⡗⠀⠈⠙⠀⠀⠀⠀⠀⠀⠀⣀⣤⡰⣷⣽⣷⡙⢛⡿⣷⡀⣤⣤⢀⠀⠤⠶⠚⠛⠛⠋⠉⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣽⣋⡙⣛⡿⣷⡄⠀⠀⠀⠀⢀⡠⣶⡸⣿⡽⣿⡽⣿⣿⣷⡙⠿⢛⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⣤⡶⣶⡹⣿⢿⣎⣩⣝⣿⡟⠛⠋⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠙⢓⠉⠀⡀⠘⣿⣿⣷⣿⠀⠀⠐⢀⢰⣰⣾⣷⡶⡆⠀ ⠀⠀⠀⢀⡈⠉⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⣠⣶⣦⠀⠹⣿⡿⠃⢻⣿⢻⠿⠉⠉⢀⡀⣴⡄⠘⣿⣿⣦⠘⣿⣆⠹⠿⠈⠉⠀⠀⠉⠀⠿⠇⠀⠘⠿⢿⣅⢀⡀⠀⠼⠐⠿⠿⢿⣧⣤⣤ ⠀⠀⠀⠀⠘⠷⠶⠶⠄⠉⠉⠉⠉⠉⠙⠛⠿⢿⣿⣿⣿⠿⢟⣫⣴⡾⢿⠽⢷⣶⣦⡀⠘⣿⠄⣨⠉⢀⣀⡁⣶⡽⣿⡜⣿⣆⠹⣷⡿⡷⠘⠋⠀⠀⠀⠈⠶⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣁⠀⣾⣟⣉⠹⣿⡌⠀⡰⣷⡿⠃⠀⠀⣀⣥⡄⣿⡽⢟⡘⣿⡞⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⢿⣟⣀⠹⡿⠄⠁⠒⠀⣠⣴⣶⡝⣿⣴⠜⣿⣟⣿⡜⠛⠛⠁⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠐⠾⣿⣿⣷⣦⣀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢿⣷⣤⡀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡮⠟⠋⠁⢀⡀⣴⣆⠀⠘⣿⣾⣷⡜⣿⣶⠎⠛⣁⠘⠖⠁⠀⠀⠀⠀⠀⠀⢀⣢⡠⡀⠀⠀⠀⠀⠀⠀⠀⠘⠻⢿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⡴ ⠀⠀⠀⠀⠈⠙⠟⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢀⣠⣔⣾⣝⣿⡜⣿⣆⠀⠘⣿⡞⠛⠈⠰⠆⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠌⢙⣿⣿⣦⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣷⣦⣤⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⢶⣟⣿⣧⡜⣿⣞⣿⡞⡿⠟⠀⠰⠀⠀⠀⠀⠀⡀⠀⣤⢀⡀⠀⠀⠀⠀⠀⠀⠁⣀⣽⣿⡇⠀⠀⠐⠆⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣷⣦⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡐⣿⣼⣿⣿⣿⡜⣿⣆⠈⠛⠋⠁⢀⠐⢦⡀⠛⠀⠀⠀⠀⠁⠀⠉⠙⣽⣷⡀⠀⠀⠀⠀⠀⠹⣿⣿⡃⠀⠀⠀⠀⠀⠠⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣶⡀⠹⣿⢿⣌⢿⣿⣟⢿⠿⠈⠁⠀⠀⢀⣀⡈⠉⠁⠀⠀⠀⠀⠀⠀⠠⠤⠤⡀⢹⣿⣷⠀⠀⠀⠀⠀⢠⣿⣿⣿⣆⠀⠈⠀⠀⠀⠀⠀⠀⠀⠐⠛⠷⣦⣄⠀⠀⠀⠀⠈⠙⠿⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡰⣶⣽⣷⡹⣷⡀⢻⣿⢿⠧⠛⠉⠀⠀⠀⣠⣾⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡱⣼⣿⣿⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣄⠀⠀⠀⠀⠀⢀⣀⡀⣤⡀⣀⠈⠉⠙⠲⢤⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣷⡹⣿⣿⣷⡹⠿⠛⠉⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢶⡆⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣦⠀⠀⠀⣴⣿⣿⡇⢘⣿⣿⣿⣦⣤⣀⣠⣬⠀⠒⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠀⠀⠐⠀⣰⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠃⣿⢳⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣧⡀⠠⣿⣿⡿⡅⠄⢻⣿⣿⣿⣿⣿⣷⠀⣰⡇⠀⠻ ⠀⠆⠲⣶⠏⢷⠶⠴⠽⠿⠷⠀⠐⠀⠀⢄⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⠏⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢙⣿⣿⡇⠀⠀⠀⣤⡀⠀⡀⠀⠀⠀⠹⣿⣿⣿⣷⣦⡛⠿⠱⠷⠶⠾⣿⣿⣿⣿⣿⠃⣴⡿⠁⠀⣴ ⠀⠀⠀⠀⠀⠀⠀⠙⢸⣿⠟⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣿⣿⠀⠀⠀⠀⠀⡀⠀⢈⠙⠛⠇⠘⠏⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠀⠀⠐⠿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⢀⣿⡶⠾⠃⠀⠀⠀⠀⠉⠱⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠔⠾⠿ ⣷⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡏⠀⠀⠀⠀⠚⠉⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⢖⡭⠀⠀⠀⠀⢀⣀⣲⣿⠿⠒⠁⠀⠀ ⣿⣿⣿⣿⣷⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠴⠁⠀⣀⣤⣶⡾⠟⠛⠉⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢚⣿⣿⡿⠛⠉⠴⣶⠾⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣾ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣶⠄⠀⡰⠠⠀⠂⠀⠀⠀⠈⠛⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣉⡡⣾⡻⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣾⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠠⠀⠀⠀⢀⣀⡀⣾⣻⡗⠀⠀⠋⠄⠀⠀⠀⠀⠀⠀⣀⣤⡰⣷⣽⣷⡙⢛⡿⣷⡀⣤⣄⢠⣤⠤⠶⠾⠿⠛⠛⠉⠁⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣽⣋⡙⣛⡿⣷⡄⠀⠀⠀⠀⢀⡠⣶⡸⣿⡽⣿⡽⣿⣿⣷⡙⠿⠛⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⣤⡶⣶⡹⣿⢿⣎⣩⣝⣿⡞⠛⠋⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠙⠓⠉⠀⠀⠘⣿⣿⣧⣿⠀⠀⠀⢀⢴⣠⣾⣷⣶⡄⠀ ⠀⠀⠀⢀⠈⠙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⣠⣶⣦⠀⠹⣿⡿⠃⢻⣿⢻⠿⠉⠉⢀⡀⣴⡄⠘⣿⣿⣦⠘⣿⣆⠹⠿⠈⠉⠀⠀⠉⠀⠾⠇⠀⠘⠿⢿⣯⢀⡀⠀⠼⠸⠿⣿⣿⣧⣤⣤ ⠀⠀⠀⠀⠒⠶⠶⠶⠀⠉⠉⠉⠉⠉⠙⠛⠿⢿⣿⣿⣿⠿⢟⣫⣴⡾⠿⠽⢷⣶⣦⡀⠘⣿⠄⣈⠉⢀⣀⡀⣶⡽⣿⡜⣿⡆⠹⣷⡿⡷⠘⠋⠀⠀⠀⠈⠶⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠁⣾⣟⣋⠹⣿⡄⠀⡰⣷⡿⠃⠀⠀⣀⣥⡄⣿⡽⢟⡘⣿⡞⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⢿⣟⣀⠹⡿⠄⠀⠁⠀⣠⣴⣶⡝⣿⣴⠜⣿⣟⣿⡜⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠾⣿⣿⣷⣦⣀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢿⣷⣦⡀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡮⠟⠋⠁⢀⡀⣴⡆⠀⠘⣿⣾⣷⡜⣿⣶⠎⠛⡁⠐⠔⠁⠀⠀⠀⠀⠀⠀⠀⣢⡠⡀⠀⠀⠀⠀⠀⠀⠀⠘⠻⢿⣿⣿⣶⣤⣀⡀⠀⠀⢀⠀⠀⠀⠀⡰ ⠀⠀⠀⠀⠉⠙⠟⠀⠀⠋⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢀⣠⣔⣾⣝⣿⡜⣿⣆⠀⠘⣿⡞⠛⠈⠰⠆⠈⠀⠀⠀⠀⠀⡆⠀⠀⠀⠔⢝⣿⣿⣦⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⢶⣟⣿⣧⡜⣿⣞⣿⡞⡿⠟⠀⠰⠀⠀⠀⠀⠀⡀⠀⣄⢀⠀⠀⠀⠀⠀⠀⠀⠉⣀⡽⣿⡇⠀⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣷⣤⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡐⣿⣼⣿⣿⣿⡜⣿⣆⠈⠛⠋⠁⢀⠐⢦⡀⠛⠀⠀⠀⠀⠁⠀⠉⢹⣷⣧⠀⠀⠀⠀⠀⠀⠹⣿⣿⡃⠀⠀⠀⠀⠀⠠⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣶⡀⠹⣿⢿⣌⢿⣿⣟⢿⠿⠈⠁⠀⠀⢀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⡀⠤⠄⡀⣿⣿⣧⠀⠀⠀⠀⠀⢠⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠈⠀⠀⠐⠻⠷⣦⣀⠀⠀⠀⠀⠈⠙⠿⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡰⣶⣽⣷⡹⣷⡀⢻⣿⢻⠧⠛⠉⠀⠀⠀⣠⣾⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⡱⣿⣻⣿⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣄⠀⠀⠀⠀⠀⢀⣀⠀⣄⡀⠀⠈⠙⠛⠲⣤⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣷⡹⣿⣿⣷⡹⠿⠛⠉⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢶⠄⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣆⠀⠀⠀⣴⣿⣿⡧⠙⢿⣿⣷⣦⣤⣀⣠⣭⠀⠶⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠀⠀⠐⢀⣴⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠢⡿⢣⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣧⡀⢠⣿⣿⣿⣁⠀⢿⣿⣿⣿⣿⣿⣧⠀⣰⡄⠠⠻ ⠀⠆⠲⣶⠏⢷⠖⠰⠽⠿⠷⠀⠐⠀⠀⢄⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⠏⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⡇⣾⡇⠀⠂⠀⣦⡀⠀⡀⠀⠀⠀⠹⣿⣿⣿⣷⣤⡛⠿⠵⠯⣴⢿⣿⣿⣿⣿⣿⠃⣴⡿⠁⠀⣰ ⠀⠀⠀⠀⠀⠀⠀⠙⠁⣿⡿⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠈⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢈⠙⠛⠇⠈⠏⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠁⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠘⣿⣿⣿⠀⠀⠀⠀⢀⣿⡶⠾⠃⠀⠀⠀⠀⠉⠱⠄⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠄⠾⠿ ⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⠀⠀⠀⠀⠚⠉⠀⠀⠰⠂⠀⠀⠀⠀⠀⠀⠀⣀⣤⢶⡭⠀⠀⠀⠀⠀⣀⣲⣮⡿⠓⠉⠀⠀ ⣿⣿⣿⣿⣷⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⠿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢋⡴⠀⠀⣀⣠⣶⣶⠿⠛⠉⠁⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢚⣿⣿⡿⠛⠋⠤⣶⡾⠟⠋⠉⠁⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣦⠄⠀⠰⠀⠀⠂⠀⠀⠀⠈⠛⠀⠀⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣉⡡⣾⡻⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣾⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⠂⠀⠀⢀⣀⡀⣾⣻⡗⠀⠀⠉⠂⠀⠀⠀⠀⠀⠀⣀⣤⡰⣷⣽⣷⡙⢛⡿⣷⡀⣤⣤⠀⣤⡤⠶⠶⠿⠛⠛⠉⠁⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣽⣋⡙⣛⡿⣷⡄⠀⠀⠀⠀⢀⡠⣶⡸⣿⡽⣿⡽⣿⣿⣷⡙⠿⠛⠠⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⣤⡶⣶⡹⣿⢿⣎⣩⣝⣿⡞⠛⠋⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠙⠓⠉⠀⠀⠘⣿⣿⣦⣿⠀⠀⠀⠀⢠⣠⣶⣷⣶⡄⠀ ⠀⠀⠀⢀⠈⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⣠⣶⣦⠀⠹⣿⡿⠃⢻⣿⢻⠿⠉⠉⢀⡀⣴⡄⠘⣿⣿⣦⠘⣿⣆⠹⠿⠈⢉⠀⠀⠉⠀⠾⠇⠀⠘⠿⣿⣭⠀⠀⠀⠸⠸⠿⣿⣿⣧⣄⣤ ⠀⠀⠀⠀⠒⠶⠶⠶⠀⠉⠉⠉⠉⠉⠙⠛⠻⢿⣿⣿⣿⠿⢟⣫⣴⡾⠿⠽⢷⣶⣦⡀⠘⣿⠄⢈⠉⢀⣀⡀⣶⡽⣿⡜⣿⡆⠹⣷⡿⡷⠘⠉⠀⠀⠀⠑⠾⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⠁⣾⣟⣋⠹⣿⡄⢠⡰⣷⡿⠃⠀⠀⣀⣥⡄⣿⡽⢟⡘⣿⡞⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⢿⣟⣀⠹⡿⠄⠈⠀⠀⣠⣴⣶⡝⣿⣴⠜⣿⣟⣿⡜⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠾⣿⣿⣶⣤⡀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢿⣷⣦⡀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡮⠟⠫⠁⢀⡀⣴⡆⠀⠘⣿⣾⣷⡜⣿⣶⠎⠛⡁⠐⠔⠀⠀⠀⠀⠀⠀⠀⠀⣦⡠⡀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣶⣤⣀⠀⠀⠀⢀⠀⠀⠀⠀⣠ ⠀⠀⠀⠀⠉⠙⠟⠀⠀⠋⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢀⣠⣔⣾⣝⣿⡜⣿⣆⠀⠘⣿⡞⠛⠈⠰⠆⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠔⢝⣿⣿⣦⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣶⣦⣄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⢶⣟⣿⣧⡜⣿⣞⣿⡞⡿⠟⠀⠰⠀⠀⠀⠀⠀⡀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠉⣀⡽⣿⡇⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣶⣤⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡐⣿⣼⣿⣿⣿⡜⣿⣆⠈⠛⠋⠁⢀⠐⢦⡀⠛⠀⠀⠀⠀⠁⠀⠉⢹⣷⣦⠀⠀⠀⠀⠀⠀⠹⣿⣿⡇⠀⠀⠀⠀⠀⠠⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣶⡀⠹⣿⢿⣌⢿⣿⣟⢿⠿⠈⠁⠀⠀⢀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⣀⠤⠀⡀⣿⣿⣇⠀⠀⠀⠀⠀⢠⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠈⠀⠀⠐⠿⠷⣤⣀⠀⠀⠀⠀⠈⠻⠿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡰⣶⣽⣷⡹⣷⡀⢻⣿⢿⠧⠛⠉⠀⠀⠀⣠⣾⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⡡⣿⣻⣟⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣄⠀⠀⠀⠀⠀⢀⣀⠀⣄⠀⠀⠉⠛⠓⠦⣤⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣷⡹⣿⣿⣷⡹⠿⠛⠉⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢶⠄⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣆⠀⠀⠀⣴⣿⣿⡧⢙⢿⣿⣷⣦⣤⣀⣠⣭⠀⠦⠀⡀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠀⠀⠐⢀⣴⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠢⡿⢫⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣧⠀⢠⣿⣿⣿⡁⠀⢸⣿⣿⣿⣿⣿⣯⠀⣰⡄⠀⠿ ⠀⠆⠲⣶⠏⢷⠖⠰⠽⠿⠷⠀⠐⠀⠀⢄⠀⠀⠀⢀⣰⣿⣿⣿⣿⣿⣿⡿⠏⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⡇⣾⡆⠀⠂⠀⣄⡀⠀⡀⠀⠀⠀⢹⣿⣿⣿⣷⣤⡻⠿⠽⠧⣴⢿⣿⣿⣿⣿⣿⠃⣰⡿⠁⠀⣰ ⠀⠀⠀⠀⠀⠀⠀⠘⠃⣿⡿⠋⣾⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠈⢻⣿⣿⣿⠀⠀⠀⠀⠀⡀⠀⢈⠙⠛⠇⠈⠟⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠁⠀⠁⠺⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠈⣿⣿⣿⠀⠀⠀⠀⠀⣿⡶⠾⠇⠀⠀⠀⠀⠉⠱⠄⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠤⡾⠿ ⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⠀⠀⠀⠀⠚⠋⠀⠀⠠⠂⠀⠀⠀⠀⠀⠀⠀⣀⣤⢤⡭⠀⠀⠀⠀⠀⣀⣰⣶⡿⠓⠀⠀⠀ ⣿⣿⣿⣿⣷⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡴⠀⠀⣀⣠⣶⣶⠿⠛⠉⠁⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢚⣿⣿⣿⠟⠋⠤⣶⡶⠟⠋⠉⠁⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⣦⡄⠀⠠⢀⠀⠀⠀⠀⠀⠀⠛⠄⠀⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣉⡡⣾⡻⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⠆⠀⠀⢀⣀⡀⣾⣻⡗⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⣀⣤⡰⣷⣽⣷⡙⢛⡿⣷⡀⣤⣤⣀⣤⡤⠶⠾⠿⠛⠛⠋⠉⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣽⣋⡙⣛⡿⣷⡄⠀⠀⠀⠀⢀⡠⣶⡸⣿⡽⣿⡽⣿⣿⣷⡙⠿⠛⠠⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠙⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⣤⡶⣶⡹⣿⢿⣎⣩⣝⣿⡞⠛⠋⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠙⠓⠉⠀⠀⠘⣿⣷⣦⣿⠀⠀⠀⠀⢠⣠⣴⣷⣴⡄⠀ ⠀⠀⠀⣀⠈⠙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣠⣶⣦⠀⠹⣿⡿⠃⢻⣿⢻⠿⠉⠉⢀⡀⣴⡄⠘⣿⣿⣦⠘⣿⣆⠹⠿⠈⢉⠀⠀⠉⠀⠾⠇⠀⠘⢿⣿⣍⠀⠀⠀⢸⠬⢿⣿⣿⣇⣀⣠ ⠀⠀⠀⠀⠒⠶⠶⠶⠂⠉⠉⠉⠉⠉⠙⠛⠻⢿⣿⢿⣿⡿⢟⣫⣴⡾⠿⠽⢷⣶⣦⡀⠸⣿⠄⢈⠉⢀⣀⡀⣶⡽⣿⡜⣿⣆⠹⣷⡿⡷⠘⠉⠀⠀⠀⠑⢾⣦⡀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⠁⣾⣟⣋⠹⣿⡄⢰⠰⣷⡿⠃⠀⠀⣀⣥⡄⣿⡽⢟⡘⣿⡞⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⢿⣟⣀⠹⡿⠄⠀⠀⠀⣠⣴⣶⡝⣿⣴⠜⣿⣟⣿⡜⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠶⣿⣿⣶⣄⡀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢿⣷⣦⡀⠀⠂⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡮⠟⠫⠅⢀⡀⣴⡆⠀⠘⣿⣾⣷⡜⣿⣶⠎⠛⡁⢐⠤⠀⠀⠀⠀⠀⠀⠀⠀⣢⡠⡀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣷⣦⣄⣀⠀⠀⠀⢀⠀⠀⠀⠀⣰ ⠀⠀⠀⠀⠉⠙⠟⠀⠀⠋⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢀⣠⣔⣾⣝⣿⡜⣿⣆⠀⠘⣿⡞⠛⠈⠰⠆⠈⠀⠀⠀⠀⠀⡆⠀⠀⠀⠔⢙⣿⣿⣤⡆⠀⠀⠄⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣶⣤⣄⠀⠀⠀⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⢶⣟⣿⣧⡜⣿⣞⣿⡞⡿⠟⠀⠰⠀⠀⠀⠀⠀⡀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠈⠉⣁⡹⣿⡇⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠿⢿⣿⣿⣿⣶⣄⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡐⣿⣼⣿⣿⣿⡜⣿⣆⠈⠛⠋⠀⢄⠙⢦⡀⠛⠀⠀⠀⠀⠁⠀⠉⢻⣷⣦⠀⠀⠀⠀⠀⠀⠹⣿⣿⡇⠀⠀⠀⠀⠀⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣶⡀⠹⣿⢿⣌⢿⣿⣟⢿⠿⠈⠁⠀⠀⢀⣀⡈⠁⠁⠀⠀⠀⠀⠀⠀⣀⠠⢀⡀⣿⣿⣇⠀⠀⠀⠀⠀⢠⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠉⠀⠀⠐⠿⢷⣤⡀⠀⠀⠀⠀⠉⠻⠿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡰⣶⣽⣷⡹⣷⡀⢻⣿⢿⠧⠛⠉⠀⠀⠀⣠⣾⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠅⠀⠡⣿⣿⣟⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⡄⠀⠀⠀⠀⠀⢀⣀⠀⣀⠀⠀⠉⠛⠳⠦⣄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣷⡹⣿⣿⣷⡹⠿⠛⠉⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢶⡄⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣆⠀⠀⠀⣴⣿⣿⡇⠹⣿⣿⣷⣦⣄⣀⣈⣭⠀⠦⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠀⠀⠐⢀⣴⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠢⡿⢫⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣦⠀⢠⣿⣿⡿⣅⠀⢻⣿⣿⣿⣿⣿⣯⠀⣰⡄⠠⠿ ⠀⠆⠲⣶⠏⢷⠖⠴⠽⠿⠷⠀⠐⠀⠀⣄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⡿⠟⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⡏⣾⡆⠀⠆⢀⣄⡀⠀⡀⠀⠀⠀⢻⣿⣿⣿⣷⣄⡻⠿⠵⠯⣴⣾⣿⣿⣿⣿⣿⠃⣰⡿⠁⠀⣰ ⠀⠀⠀⠀⠀⠀⠀⠘⠟⢸⣿⠟⢹⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠈⠻⣿⣿⣿⡇⠀⠀⠀⠀⡀⠀⢈⠙⠛⠇⠈⠟⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠈⠀⠉⠸⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠃⠀⠀⠀⢿⣿⣿⡇⠀⠀⠀⠀⣿⡶⠾⠇⠀⠀⠀⠀⠉⠱⠄⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠤⣾⠿ ⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡇⠀⠀⠀⠚⠋⠁⠀⠠⠂⠀⠀⠀⠀⠀⠀⠀⢀⣤⡤⣯⠀⠀⠀⠀⠀⢠⣠⣶⡿⠷⠀⠀⠀ ⣿⣿⣿⣿⣷⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢛⡴⠊⠀⢀⣠⣤⣶⡿⠟⠋⠁⠀⠀⠀⠀⠀ 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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢉⡆⠀⠀⢀⣀⡀⣾⣻⡗⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⣀⣤⡰⣷⣽⣷⡙⢛⡿⣷⡀⣄⣄⣀⣠⣤⣴⠾⠿⠿⠛⠛⠉⠉⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣿⣋⡙⣛⡿⣷⡄⠀⠁⠀⠀⢀⡠⣶⡸⣿⡽⣿⡽⣿⣿⣷⡙⠿⠛⠀⣍⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠛⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⣤⡶⣶⡹⣿⢿⣎⣩⣝⣿⡞⠛⠋⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠙⠓⠉⠀⠁⠸⣿⣷⣦⣿⠀⠀⠀⠀⢠⢠⣴⣦⣤⣄⠀ ⠀⠀⠀⢄⣈⠉⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⣠⣶⣦⠀⠹⣿⡿⠃⢻⣿⢻⠿⠉⠉⢀⡀⣴⡄⠘⣿⣿⣦⠘⣿⣆⠹⠿⠈⠉⠀⠀⠙⠀⢶⡇⠀⠘⢿⣿⣯⠀⠀⠀⣸⠨⣿⣿⣿⣏⣁⣀ ⠀⠀⠀⠀⠰⠾⠿⠗⠂⠀⠀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⠿⠟⣫⣵⡾⠿⠽⢷⣶⣦⡀⠸⣿⠄⢈⠉⢀⣀⡀⣶⡽⣿⡜⣿⣆⠹⣷⡿⡷⠘⠋⠀⠀⠀⠓⣴⣄⡀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠉⠉⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣾⣟⣉⠹⣿⡄⠨⠰⣷⡿⠃⠀⠀⣀⣥⡄⣿⡽⢟⡜⣿⡞⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣴⣤⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⢿⣟⣀⠹⡿⠄⠀⠀⠀⣠⣶⣶⡝⣿⣴⠜⣿⣟⣿⡜⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣶⣿⣷⣶⣄⡀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢿⣿⣦⡀⠀⠃⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡮⠟⠫⠥⢄⡀⣴⣆⠀⠘⣿⣾⣷⡜⣿⣶⠎⠛⡁⠐⠤⠀⠀⠀⠀⠀⠀⠀⠀⣢⡀⡀⠀⠀⠀⠀⠀⠀⠉⠙⠿⣿⣿⣷⣤⣄⡀⠀⠀⠀⢀⠀⠀⠀⠀⣠ ⠀⠀⠀⠀⠈⠙⠟⠀⠀⢋⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢀⣠⣔⣾⣝⣿⡜⣿⣆⠀⠘⣿⡞⠛⠈⠰⠆⠈⠁⠀⠀⠀⠀⡆⠀⠀⠀⠔⠚⣿⣿⣤⡆⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣷⣶⣤⣈⠀⠀⠀⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⢶⣟⣿⣧⡜⣿⣞⣿⡞⡿⠟⠀⠠⠀⠃⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠈⠉⣁⡹⣿⡇⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣷⣦⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡐⣿⣼⣿⣿⣿⡜⣿⣆⠈⠛⠋⠁⢄⠙⢦⡀⠛⠀⠀⠀⠀⠃⠀⠙⢺⣷⣦⠀⠀⠀⠀⠀⠀⠹⣿⣿⡇⠀⠀⠀⠀⠀⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣿⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣶⡀⠹⣿⢿⣌⢿⣿⣟⢿⠿⠈⠁⠀⠀⢀⣀⡈⠁⠁⠀⠀⠀⠀⠀⠀⢀⡀⢀⡈⢿⣿⣧⠀⠀⠀⠀⠀⢀⣿⣿⣿⡄⠀⠀⠀⠀⠀⠈⠉⠀⠀⠐⠿⣶⣄⡀⠀⠀⠀⠀⠙⠻⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡰⣶⣽⣷⡹⣷⡄⢻⣿⢿⠧⠛⠉⠀⠀⠀⣠⣾⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠅⠀⠡⣾⣿⣿⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⣀⠀⣀⠀⠀⠙⠛⠶⢤⣀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣷⡹⣿⣿⣷⡹⠿⠛⠉⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣦⡄⣿⣿⣿⡋⠀⠀⠀⠀⠀⡄⠀⢻⣿⣿⣿⣄⠀⠀⠀⣴⣿⣿⣇⠻⣷⣿⣶⣤⣀⠀⣈⣛⠠⡤⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠀⠀⠐⢀⣴⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠇⡿⢯⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣦⠀⢠⣿⣿⣿⣃⠀⢿⣿⣿⣿⣿⣿⣯⠁⣰⡀⠠⢿ ⠀⠆⠲⣶⠏⢷⠖⠴⠽⠿⠷⠀⠐⠀⠀⣄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⡿⠏⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⣾⡆⠀⠄⢀⣄⡀⠀⡀⠀⠀⠀⢻⣿⣿⣿⣷⣄⠿⠿⢱⣿⣴⣿⣿⣿⣿⣿⣿⠃⣰⡿⠃⠀⣠ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⢹⣿⠟⢡⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠹⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠈⠛⠛⠏⠈⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠉⠱⢿⣿⣿⣿⣿⣿⣿⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠀⠀⠀⠸⣿⣿⡇⠀⠀⠀⠀⣼⣦⠼⠇⠀⠀⠀⠀⠉⢱⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⡢⣼⡿ ⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡇⠀⠀⠀⠸⠋⠁⠀⢠⠆⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⣛⠀⠀⠀⠀⠀⠠⣤⣶⣾⠷⠂⠀⠀ ⣿⣿⣿⣿⣿⣷⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⢿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠛⣩⠂⠀⠀⣀⣤⣴⡾⠿⠛⠉⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣶⣶⠶⠒⢠⣤⣶⠾⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣦⡄⠀⠀⢄⡀⠀⠀⠀⠀⠀⠙⠇⠀⠸⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣛⡣⣾⡻⠗⠈⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢉⡄⠀⠀⢀⣀⡀⣾⣻⡗⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⣀⣤⡰⣷⣽⣷⡙⢛⡿⣷⡀⣄⣀⢀⣀⣤⣤⣶⠿⠿⠟⠛⠉⠉⠁ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣽⣋⡙⣛⡿⣷⡄⠀⠀⠀⠀⢀⡠⣶⡸⣿⡽⣿⡽⣿⣿⣷⡙⠿⠛⠀⣍⠉⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⣤⡶⣶⡹⣿⢿⣎⣩⣝⣿⡞⠛⠋⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠙⠓⠉⠀⠁⠸⣿⣷⣦⣿⠀⠀⠀⠀⣠⢠⣴⣶⣤⣄⠀ ⠀⠀⠀⢤⣀⡉⠛⠻⠿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡀⠀⠀⣠⣶⣦⠀⠹⣿⡿⠃⢻⣿⢻⠿⠉⠉⢀⡀⣴⡄⠘⣿⣿⣦⠘⣿⣆⠹⠿⠈⠉⠀⠀⠙⠀⢶⡇⠀⠘⢿⣿⣟⠀⠀⠀⣸⢨⣿⣿⣿⣏⣁⣀ ⠀⠀⠀⠀⠰⠾⠿⠟⠃⠀⠀⠀⠀⠀⠈⠉⠙⠻⢟⣻⡯⠿⠛⣫⣵⡾⠿⠽⢷⣶⣦⡀⠘⣿⠄⢈⠉⢀⣀⡀⣶⡽⣿⡜⣿⣆⠹⣷⡿⡷⠘⠉⠀⠀⠀⠃⣴⣄⡀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠈⠉⠉⠙ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣾⣟⣋⠹⣿⡄⠐⠰⣷⡿⠃⠀⠀⣀⣥⡄⣿⡽⢟⡘⣿⡞⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣴⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⢿⣟⣀⠹⡿⠄⠀⠀⠀⣠⣴⣶⡝⣿⣴⠜⣿⣟⣿⡜⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣶⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢿⣿⣦⡀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡮⠟⡫⠵⢖⡀⣴⡆⠀⠘⣿⣾⣷⡜⣿⣶⠎⠛⡁⠐⠤⠀⠀⠀⠀⠀⠀⠀⠀⣂⡀⠀⠀⠀⠀⠀⠀⠀⠉⠹⢿⣿⣿⣷⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠ ⠀⠀⠀⠀⠈⠙⠟⠀⠀⢋⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢀⣠⣔⣾⣝⣿⡜⣿⣆⠀⠘⣿⡞⠛⠈⠰⠆⠈⠁⠀⠀⠀⠀⡄⠀⠀⠀⠔⠚⣿⣷⣄⡄⠀⠀⠄⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⢶⣟⣿⣧⡜⣿⣞⣿⡞⡿⠟⠀⠰⠀⠇⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢁⣹⣿⡇⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢿⣿⣿⣿⣷⣦⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡐⣿⣼⣿⣿⣿⡜⣿⣆⠈⠛⠋⠁⢄⠙⢦⡀⠛⠀⠀⠀⠀⠃⠀⠙⢺⣷⣦⠀⠀⠀⠀⠀⠀⠹⣿⣿⡇⠀⠀⠀⠀⠀⢀⡀⠀⠀⠂⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣿⣦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣶⡀⠹⣿⢿⣌⢿⣿⣟⢿⠿⠈⠁⠀⠀⢀⣀⠈⠁⠁⠀⠀⠀⠀⠀⠀⢀⡀⢀⡈⢿⣿⣷⠀⠀⠀⠀⠀⢀⣿⣿⣿⡄⠀⠀⠀⠀⠀⠈⠉⠀⠀⠰⢿⣦⣄⡀⠀⠀⠀⠀⠙⠻⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡰⣶⣽⣷⡹⣷⡀⢻⣿⢿⠧⠛⠉⠀⠀⠀⣠⣾⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠡⣼⣿⣿⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠙⠻⠶⣤⣀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣷⡹⣿⣿⣷⡹⠿⠛⠉⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢦⠀⣿⣿⣿⡋⠀⠀⠀⠀⠀⡄⠀⢻⣿⣿⣿⣄⠀⠀⠀⣴⣾⣿⡆⠻⣷⣷⣶⣄⣀⠀⣉⣛⠠⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠀⠀⠑⢀⣴⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠃⣿⢯⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣦⠀⢠⣿⣿⣿⡁⠀⢿⣿⣿⣿⣿⣿⣏⠁⣠⡀⠠⣿ ⠀⠆⠲⣶⠏⢷⠖⠴⠽⠿⠷⠀⠐⠀⠀⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⡿⠏⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⡇⣾⡆⠀⠄⢀⣄⡀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣷⣌⠿⡿⢱⣏⣤⣿⣿⣿⣿⣿⣿⠋⣠⡿⠃⠀⣠ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⠹⣿⡿⢋⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀⠀⠙⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⠛⠛⠏⠈⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠁⠉⠁⢿⣿⣿⣿⣿⣿⣿⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠀⠀⠀⠨⣿⣿⣿⠀⠀⠀⠀⣼⣦⠼⠇⠀⠀⠀⠀⠉⢱⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡐⣴⣿ ⣿⣷⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡏⠀⠀⠀⠸⠋⠁⠀⢀⠆⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⣘⠁⠀⠀⠀⠀⠀⢤⣴⣾⡧⠂⠀⠀ ⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⢿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠛⣩⠆⠁⠀⢀⣤⣤⣶⠿⠛⠋⠁⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣼⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢾⣶⣶⠶⠒⢀⣤⣴⡶⠟⠛⠋⠉⠀⠀⠀⠀⠀⠀⢀⣠⣤ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣦⡄⠀⠀⢄⡀⠀⠀⠀⠀⠀⠙⠯⠀⠐⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣛⡫⣾⡻⠗⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢉⡀⠀⠀⢀⣀⡀⣾⣻⡗⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⣀⣤⡰⣷⣽⣷⡙⢛⡿⣷⡀⣀⣀⠀⣀⣀⣤⣶⡿⠿⠿⠛⠋⠉⠉ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣽⣋⡙⣛⡿⣷⡄⠀⠀⠀⠀⢀⡠⣶⡸⣿⡽⣿⡽⣿⣿⣷⡙⠿⠛⠀⣏⠉⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠉⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⣤⡶⣶⡹⣿⢿⣎⣩⣝⣿⡞⠛⠋⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠙⠓⠉⠀⠁⠰⣿⣿⣦⣶⠀⠀⠀⠀⣠⢀⣴⣶⣤⣄⠀ ⠀⠀⠀⢦⣤⣀⣉⠛⠿⢿⡿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣀⠀⠀⣠⣶⣦⠀⠹⣿⡿⠃⢻⣿⢻⠿⠉⠉⢀⡀⣴⡄⠘⣿⣿⣦⠘⣿⣆⠹⠿⠈⠉⠀⠀⠛⠁⢶⡇⠀⠙⣿⣿⣟⠀⠀⠀⢰⣸⣿⣿⣿⣏⣉⣀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠛⠹⣿⡿⠋⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⠀⠙⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⠛⠛⠟⠈⠿⠁⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤ ⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠁⠉⠁⢿⣿⣿⣿⣿⣿⣿⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠀⠀⠀⠘⣿⣿⣿⠀⠀⠀⠀⣸⣦⣼⡆⠀⠀⠀⠀⠘⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡒⣔⣿ ⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⠀⠀⠀⠸⠛⠁⠀⢀⠆⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣘⠁⠀⠀⠀⠀⠀⢠⣔⣶⡧⠐⠈⠀ ⣿⣿⣿⣿⣿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⢿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣩⠆⠁⠀⢀⣠⣤⣶⡿⠟⠋⠁⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢶⣶⣶⠶⠒⢀⣡⢤⣶⠾⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⣀⣤ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣦⣄⠀⠀⡄⡀⠀⠀⠀⠀⠀⠙⠿⠀⠐⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣛⡫⣾⡻⠗⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠰⠉⡀⠀⠀⢀⣀⡀⣾⣻⡗⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⣀⣤⡰⣷⣽⣷⡙⢛⡿⣷⡀⣀⣀⠀⠀⣀⣠⣴⣾⡿⠿⠟⠛⠉⠉ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣽⣋⡙⣛⡿⣷⡄⠀⠀⠀⠀⢀⡠⣶⡸⣿⡽⣿⡽⣿⣿⣷⡙⠿⠛⠀⣟⠉⠉⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⣤⡶⣶⡹⣿⢿⣎⣩⣝⣿⡟⠛⠋⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠙⠓⠉⠀⠉⠰⣿⣿⣦⣶⠀⠀⠀⠀⣀⢀⣠⣶⣤⣄⠀ ⠀⠀⠰⢶⣤⣄⣉⣛⠻⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⣠⣶⣦⠀⠹⣿⡿⠃⢻⣿⢻⠿⠉⠉⢀⡀⣴⡄⠘⣿⣿⣦⠘⣿⣆⠹⠿⠈⠉⠀⠀⠛⠀⣶⡇⠀⠙⣿⣿⣛⠀⠀⠀⢰⣸⣿⣿⣿⣏⠉⢀ ⠀⠀⠀⠀⠰⠾⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠯⠿⠛⠋⣩⣵⡾⠿⠽⢷⣶⣦⡀⠘⣿⠄⢈⠉⢀⣀⡀⣶⡽⣿⡜⣿⡆⠹⣷⡿⡷⠘⠉⠀⠀⠀⠣⣴⣄⡀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠃⠀⠀⠀⠀⠉⠉⠉⠉⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣾⣟⣋⠹⣿⡄⠐⠰⣷⡿⠃⠀⠀⣀⣥⡄⣿⡽⢟⡘⣿⡞⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣴⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⠀⠀⠀⠰⠟⠋⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣰⠃⠀⠀⠀⠀⠀⣀⡤⣴⣮⠁⠉⠉ ⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⢿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠺⢋⡅⠉⠀⠀⢀⣀⣤⣾⡾⠟⠋⠁⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡶⣶⣶⠶⠖⠂⣉⣠⣤⣶⠾⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⣀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣦⣄⠀⠀⡄⡀⠀⠀⠀⠀⠀⠙⠻⠀⠰⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣛⡣⣾⡻⠗⠙⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠠⠊⡀⠁⠀⢀⣀⡀⣾⣻⡗⠀⠀⠙⠇⠀⠀⠀⠀⠀⠀⣀⣤⡰⣷⣽⣷⡙⢛⡿⣷⡀⣀⢀⡀⠀⣀⣀⣠⣶⣿⣿⠿⠟⠛⠛ ⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣽⣋⡙⣛⡿⣷⡄⠀⠀⠀⠀⢀⡠⣶⡸⣿⡽⣿⡽⣿⣿⣷⡙⠿⣛⠤⡟⠛⠙⠋⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⣤⡶⣶⡹⣿⢿⣎⣩⣝⣿⡞⠛⠋⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠙⠓⠉⠀⠂⠰⣶⣯⣄⣶⡀⠀⠀⠀⠀⢀⣠⣤⣀⡀⠀ ⠀⠘⠛⠿⠶⣶⣤⣬⡍⠛⠛⠛⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣦⣤⡀⠀⣠⣶⣦⠀⠹⣿⡿⠃⢻⣿⢻⠿⠉⠉⢀⡀⣴⡄⠘⣿⣿⣦⠘⣿⣆⠹⠿⠈⠉⠀⠀⠛⠂⣦⡆⠀⠹⣿⣿⡛⠁⠀⠀⢰⢙⣾⣿⣿⡟⠛⠀ ⠀⠀⠀⠀⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠉⠀⣨⣵⡾⠿⠽⢷⣶⣦⡀⠘⣿⠄⢈⠉⢀⣀⡀⣶⡽⣿⡜⣿⣆⠹⣷⡿⡷⠘⠋⠀⠀⠀⠀⣰⣦⡀⠀⠈⠁⠀⠀⠈⠉⠛⠒⠂⠀⠉⠉⠉⠉⠙⠛⠛⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣾⣟⣋⠹⣿⡄⠁⠰⣷⡿⠃⠀⠀⣀⣤⡄⣿⡽⢟⡜⣿⡞⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣴⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⢿⣟⣀⠹⡿⠄⠀⠀⠀⣠⣶⣶⡝⣿⣴⠜⣿⣟⣿⡜⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢶⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠻⣿⣦⡄⠀⠁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡮⠟⣫⠵⢖⡀⣴⡆⠀⠘⣿⣾⣷⡜⣿⣶⠎⠛⡁⠰⡤⠀⠀⠀⠀⠀⠀⠀⠀⢂⡀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠉⠛⠀⠀⢃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢀⣠⣔⣾⣝⣿⡜⣿⣆⠀⠘⣿⡞⠛⠈⠴⠌⠀⠁⠀⠀⠀⠀⡄⠀⠀⠀⠐⠚⣿⣷⣄⡄⠀⠀⡀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣷⣦⣄⡈⠀⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⢶⣟⣿⣧⡜⣿⣞⣿⡞⡿⠟⠀⠰⠀⡇⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠈⠈⢁⣹⣿⡇⠀⠀⢄⡀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣷⣦⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡐⣿⣼⣿⣿⣿⡜⣿⣆⠈⠛⠋⠁⢀⢉⢧⣄⠹⠀⠀⠀⠀⠃⠀⠛⣾⣦⣤⠀⠀⠀⠀⠀⠀⠻⣿⣿⠇⠀⠀⠀⠀⠀⡀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣷⣦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣶⡀⠹⣿⢿⣌⢿⣿⣟⢿⠿⠈⠁⠀⠀⢀⣀⡈⠁⠁⠀⠀⠀⠀⠀⠀⠀⣀⡀⠈⢿⣿⣧⠀⠀⠀⠀⠀⢀⣿⣿⣿⡄⠀⠀⠀⠀⠈⠉⠒⠀⠀⢠⣷⣦⣄⠀⠀⠀⠀⠈⠙⠿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡰⣶⣽⣷⡹⣷⡀⢻⣿⢿⠧⠛⠉⠀⠀⠀⣠⣾⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⢃⣼⣿⡿⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⣦⣄⡀⠀⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣷⡹⣿⣿⣷⡹⠿⠛⠉⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣄⠀⣶⣿⣿⠏⠀⠀⠀⠀⠰⡀⠈⢻⣿⣿⣿⡄⠀⠀⠀⣠⣾⣷⡄⢿⣦⣦⣤⡀⠀⠉⠛⠗⢀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠀⠀⠁⢀⣾⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠿⣆⡿⢝⠉⠃⠀⠀⠀⠀⠀⠁⠀⠀⢻⣿⣿⣿⣆⠀⢠⣿⣿⣿⠋⠄⣿⣿⣿⣿⣿⣶⡟⠋⢀⠁⢠⣶ ⠀⠆⠲⣶⠏⢷⠖⠴⠽⠿⠷⠀⠘⠀⠰⡄⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⡿⠏⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⢶⣇⣿⠀⠐⠀⢀⡀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣦⣸⣿⣿⣳⣟⣰⣿⣿⣿⣿⣿⣿⠇⣠⣿⠂⠈⢉ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⣿⡿⠋⣾⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀⠀⠙⢿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠈⠛⠿⢿⠉⢿⠋⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀ ⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠁⠈⠁⠿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠂⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⢸⣦⣴⡦⠀⠀⠀⠀⠐⠒⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣈⣿ ⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⠀⠀⠀⠰⠟⠋⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣰⠃⠀⠀⠀⠀⠀⣀⡤⢴⣆⠁⠘⠉ ⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⠿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠾⢛⡅⠋⠀⠀⢀⣀⣤⣾⡶⠟⠋⠁⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡶⣶⣶⠶⠶⠂⢉⣀⣤⣴⠶⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⢀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣦⣄⠀⠀⡄⡀⠀⠀⠀⠀⠀⠘⠻⠀⠰⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣛⡣⣾⡻⠗⠙⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠠⠊⡀⠁⠀⢀⣀⡀⣾⣻⡗⠀⠀⠙⠃⠀⠀⠀⠀⠀⠀⣀⣤⡰⣷⣽⣷⡙⢛⡿⣷⡀⣀⢀⠀⠀⢀⣀⣠⣴⣿⣿⠿⠿⠛⠛ ⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣽⣋⡙⣛⡿⣷⡄⠀⠀⠀⠀⢀⡠⣶⡸⣿⡽⣿⡽⣿⣿⣷⡙⠿⣛⠤⡛⠛⠛⠋⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀ ⠀⢀⣀⠈⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⣤⡶⣶⡹⣿⢿⣎⣩⣝⣿⡞⠛⠋⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠙⠓⠉⠀⠂⠰⣶⣯⣄⣴⠀⠀⠀⠀⠀⢀⣠⣤⣀⡀⠀ ⠀⠈⠻⠿⠷⣶⣦⣬⡭⠏⠉⠙⠙⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡄⠀⣠⣶⣦⠀⠹⣿⡿⠃⢻⣿⢻⠿⠉⠉⢀⡀⣴⡄⠘⣿⣿⣦⠘⣿⣆⠹⠿⠈⠉⠀⠀⠚⠂⣤⡆⠀⠹⣿⣿⡛⠁⠀⠀⢠⢙⣾⣿⣿⡟⠛⠀ ⠀⠀⠀⠀⠙⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠚⠉⠉⠀⣨⣵⡾⠿⠽⢷⣶⣦⡀⠘⣿⠄⢈⠉⢀⣀⡀⣶⡽⣿⡜⣿⡆⠹⣷⡿⡷⠘⠋⠀⠀⠀⠀⣰⣦⡀⠀⠈⠁⠀⠀⠈⠉⠛⠒⠂⠀⠈⠉⠉⠉⠛⠛⠛⠺ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣾⣟⣋⠹⣿⡄⠀⠰⣷⡿⠃⠀⠀⣀⣤⡄⣿⡽⢟⡘⣿⡞⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣴⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⢿⣟⣀⠹⡿⠄⠀⠀⠀⣠⣶⣶⡝⣿⣴⠜⣿⣟⣿⡜⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢶⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠻⣿⣦⡄⠀⠁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡮⠟⣫⠵⢖⡀⣴⡆⠀⠘⣿⣾⣷⡜⣿⣶⠎⠛⡁⠰⡤⠀⠀⠀⠀⠀⠀⠀⠀⢢⡀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣷⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠉⠛⠀⠀⢃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢀⣠⣔⣾⣝⣿⡜⣿⣆⠀⠘⣿⡞⠛⠈⠴⠌⠀⠁⠀⠀⠀⠀⡄⠀⠀⠀⠐⠚⣿⣷⣄⡄⠀⠀⡀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣷⣦⣄⡈⠀⠀⠀⠀⠊ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⢶⣟⣿⣧⡜⣿⣞⣿⡞⡿⠟⠀⠰⠀⡇⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠈⠈⢁⡹⣿⡇⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣷⣦⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡐⣿⣼⣿⣿⣿⡜⣿⣆⠈⠛⠋⠁⢀⢉⠧⣄⠹⠀⠀⠀⠀⠃⠀⠛⣺⣦⣤⠀⠀⠀⠀⠀⠀⠻⣿⣿⠇⠀⠀⠀⠀⠀⡀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣷⣦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣶⡀⠹⣿⢿⣌⢿⣿⣟⢿⠿⠈⠁⠀⠀⢀⣀⡈⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠈⢿⣿⣧⠀⠀⠀⠀⠀⢀⣿⣿⣿⡄⠀⠀⠀⠀⠈⠙⠒⠀⠀⢠⣷⣦⣄⠀⠀⠀⠀⠈⠙⠿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡰⣶⣽⣷⡹⣷⡀⢻⣿⢿⠧⠛⠉⠀⠀⠀⣠⣾⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠂⠀⢃⣼⣿⡿⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠷⣦⣄⡀⠀⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣷⡹⣿⣿⣷⡹⠿⠛⠉⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣄⠀⣶⣿⣿⠏⠀⠀⠀⠀⢰⡀⠈⢿⣿⣿⣿⡄⠀⠀⠀⣠⣶⣷⡄⢷⣤⣦⣤⡀⠀⠉⠛⠗⢀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠀⠀⠁⢠⣾⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠿⣆⡿⢝⠉⠂⠀⠀⠀⠀⠀⠁⠀⠈⢿⣿⣿⣿⣆⠀⢠⣿⣿⣿⠛⠀⣿⣿⣿⣿⣿⣶⡟⠋⢈⠁⢠⣶ ⠀⠆⠲⣶⠏⢷⠖⠴⠽⠿⠷⠀⠘⠀⠰⡄⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⡿⠋⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⢶⣇⣿⠀⠐⠀⢀⡀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣦⣸⣿⣿⣱⣇⣠⣿⣿⣿⣿⣿⣿⠇⣠⣿⠂⠈⢉ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⣿⡿⠋⣾⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀⠀⠙⢿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠈⠛⠿⣿⠉⢿⠏⠀⠀⠁⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀ ⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠁⠀⠁⠻⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠂⠀⠀⠐⣿⣿⣿⠀⠀⠀⠀⢰⣦⣤⡦⠀⠀⠀⠀⠐⠒⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣈⣿ ⣿⣿⣿⣷⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⠀⠀⠀⠠⠟⠋⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣰⠂⠀⠀⠀⠀⠀⣀⣠⠤⣖⡉⠘⠋ ⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠺⢛⡍⠋⠀⠀⢀⣀⣠⣼⣷⠿⠛⠁⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⣴⡤⠶⠂⢉⣀⣤⣴⠶⠿⠛⠉⠉⠀⠀⠀⠀⠀⠀⢀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣷⣄⠀⠀⠄⠀⠀⠀⠀⠀⠀⠘⠿⠀⠰⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣛⡣⣾⡻⠗⠙⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠊⡠⠁⠀⢀⣀⡀⣾⣻⡗⠀⠀⠙⠃⠀⠀⠀⠀⠀⠀⣀⣤⡰⣷⣽⣷⡙⢛⡿⣷⡀⣀⠀⠀⠀⠀⢀⣀⣴⣾⣿⡿⠿⠛⠛ ⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣽⣋⡙⣛⡿⣷⡄⠀⠀⠀⠀⢀⡠⣶⡸⣿⡽⣿⡽⣿⣿⣷⡙⠿⣛⠤⡛⠛⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀ ⠠⣄⣀⡈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⣤⡶⣶⡹⣿⢿⣎⣩⣝⣿⡞⠛⠋⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠙⠓⠉⠀⠒⠠⣶⣿⣄⣴⡀⠀⢀⠀⠀⠀⢀⣤⣀⡀⠀ ⠀⠈⠙⠿⠿⣶⣶⣤⡬⠍⠉⠉⠉⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡄⠀⣠⣶⣦⠀⠹⣿⡿⠃⢻⣿⢻⠿⠉⠉⢀⡀⣴⡄⠘⣿⣿⣦⠘⣿⣆⠹⠿⠈⠉⠀⠀⠖⠂⣤⡦⠀⠹⣿⣿⡿⠁⠀⠀⢠⢙⣾⣿⣿⡟⠛⠀ ⠀⠀⠀⠘⠙⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠋⠉⠁⠀⣠⣵⡾⠿⠽⢷⣶⣦⡀⠘⣿⠄⢈⠉⢀⣀⡀⣶⡽⣿⡜⣿⣆⠹⣷⡿⡷⠘⠋⠀⠀⠀⠀⣴⣤⡀⠀⠈⠁⠀⠀⠈⠉⠛⠒⠆⠀⠈⠉⠉⠛⠛⠛⠒⠾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣾⣟⣋⠹⣿⡄⠀⠰⣷⡿⠃⠀⠀⣀⣤⡄⣿⡽⢟⡜⣿⡞⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣴⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⢿⣟⣀⠹⡿⠄⠀⠀⠀⣠⣶⣶⡝⣿⣴⠜⣿⣟⣿⡜⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢴⣿⣷⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠻⣿⣦⡄⠀⠁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡮⠟⣫⠵⢖⡀⣴⣆⠀⠘⣿⣾⣷⡜⣿⣶⠎⠛⡁⠰⡤⠂⠀⠀⠀⠀⠀⠀⠀⢂⠀⡀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠈⠛⠀⠀⢁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢀⣠⣔⣾⣝⣿⡜⣿⣆⠀⠘⣿⡞⠛⠈⠴⠌⠀⠉⠁⠀⠀⠀⡄⠀⠀⠀⠐⠚⣿⣷⣄⡄⠀⠀⡀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠊ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⢶⣟⣿⣧⡜⣿⣞⣿⡞⡿⠟⠀⠰⠀⡇⠀⠀⠀⠀⠀⣀⠀⠀⠀⠁⠀⠀⠀⠈⠈⠉⡻⣿⡇⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣷⣤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡐⣿⣼⣿⣿⣿⡜⣿⣆⠈⠛⠋⠁⢀⠉⢧⣄⠹⠂⠀⠀⠀⠃⠀⠛⣶⣦⣤⠀⠀⠀⠀⠀⠀⠻⣿⣿⠇⠀⠀⠀⠀⠀⡀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣷⣦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣶⡀⠹⣿⢿⣌⢿⣿⣟⢿⠿⠈⠁⠀⠀⢀⣀⡈⠁⠁⠀⠀⠀⠀⠀⠀⠀⣀⡀⠈⣿⣿⣦⠀⠀⠀⠀⠀⢀⣿⣿⣷⡄⠀⠀⠀⠀⠈⠑⠒⠀⠀⢠⣷⣦⣀⠀⠀⠀⠀⠈⠛⢿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡰⣶⣽⣷⡹⣷⡀⢻⣿⢿⠧⠛⠉⠀⠀⠀⣠⣾⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠂⠈⢃⣼⣿⡿⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⢷⣦⣄⡀⠀⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣷⡹⣿⣿⣷⡹⠿⠛⠉⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣄⠀⣶⣿⣿⠏⠀⠀⠀⠀⢰⡀⠈⢿⣿⣿⣿⡄⠀⠀⠀⣠⣶⣷⡄⢷⣤⣦⣄⡀⠀⠉⠛⠷⢀⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠀⠀⠁⣠⣾⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⢿⣆⡿⣝⠉⠂⠀⠀⠀⠀⠀⠁⠀⠈⢿⣿⣿⣿⣄⠀⢠⣿⣿⣿⠛⢀⣿⣿⣿⣿⣷⣶⡞⠃⢈⠁⢠⣶ ⠀⠆⠲⣶⠏⢷⠖⠴⠽⠿⠷⠀⠈⠀⢰⡄⠀⠀⠀⣀⣾⣿⣿⣿⣿⣿⣿⡿⠇⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠒⢶⣇⣿⠀⠰⠀⢀⡀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣦⣸⣿⡿⣳⣇⣰⣿⣿⣿⣿⣿⣿⠇⣠⣿⠀⠊⢉ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⢹⡿⠋⢾⣿⣿⣿⣿⣿⣿⣿⣿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠙⢿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠈⠛⠿⣿⠉⢿⠏⠀⠈⠁⠀⠉⠉⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀ ⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠺⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⢰⣦⣤⡦⠀⠀⠀⠀⠐⠒⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿ ⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⠀⠀⠀⠠⠟⠋⠀⠀⡄⠀⠀⠀⠀⠀⠁⠀⠀⠀⣀⣰⠂⠀⠀⠀⠀⠀⢀⣀⠤⣶⡈⠙⠋ ⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠴⢟⡩⠛⠀⠀⢀⢀⣠⣼⣷⠿⠛⠁⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⣤⡤⠤⠀⢉⣀⣠⣴⡶⠿⠛⠉⠉⠀⠀⠀⠀⠀⠀⢀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣷⣤⠀⠀⢄⢀⠀⠀⠀⠀⠀⠘⠿⠀⠰⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣛⡣⣾⡻⠗⠙⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⡰⠁⠀⢀⣀⡀⣾⣻⡗⠀⠀⠙⠃⠀⠀⠀⠀⠀⠀⣀⣤⡰⣷⣽⣷⡙⢛⡿⣷⡀⣀⢀⡀⠀⠀⢀⣠⣴⣾⣿⡿⠿⠟⠛ ⠙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣽⣋⡙⣛⡿⣷⡄⠀⠀⠀⠀⢀⡠⣶⡸⣿⡽⣿⡽⣿⣿⣷⡙⠿⣛⠤⡿⠟⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀ ⠠⣤⣀⡈⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⣤⡶⣶⡹⣿⢿⣎⣩⣝⣿⡞⠛⠋⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠙⠓⠉⠀⠒⠠⣶⣿⣄⣤⡀⠀⢀⠀⠀⠀⢀⣤⣀⠀⠀ ⠀⠈⠹⠿⠿⣷⣶⣶⡬⠭⠉⠉⠉⠙⠛⠿⢿⣿⣿⣿⣿⣿⠿⣶⣦⡄⠀⣠⣶⣦⠀⠹⣿⡿⠃⢻⣿⢻⠿⠉⠉⢀⡀⣴⡄⠘⣿⣿⣦⠘⣿⣆⠹⠿⠈⠉⠀⠀⠖⠂⣤⡦⠀⠹⣿⣿⡿⠁⠀⠀⢠⢹⣾⣿⣿⡟⠛⠀ ⠀⠀⠀⠈⠉⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠉⠉⠀⠀⣠⣴⡾⠿⠽⢷⣶⣦⡀⠹⣿⠄⢈⠉⢀⣀⡀⣶⡽⣿⡜⣿⣆⠹⣷⡿⡷⠘⠉⠀⠀⠀⠀⣴⣤⡀⠀⠈⠁⠀⠀⠈⠙⠛⠀⠆⠀⠘⠉⠉⠛⠛⠓⠒⠶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣾⣟⣋⠹⣿⡄⠀⠰⣷⡿⠃⠀⠀⣀⣤⡄⣿⡽⢟⡘⣿⡞⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣴⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⢿⣟⣀⠹⡿⠄⠀⠀⠀⣠⣶⣶⡝⣿⣴⠜⣿⣟⣿⡜⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣼⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠛⣿⣶⡄⠀⠁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡮⠟⡫⠵⢖⡀⣴⣆⠀⠘⣿⣾⣷⡜⣿⣶⠎⠛⡁⠰⡤⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⡀⠀⠀⠀⠀⠀⠀⠉⠹⢿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠛⠀⠀⢁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢀⣠⣔⣾⣝⣿⡜⣿⣆⠀⠘⣿⡞⠛⠈⠴⠌⠈⠁⠀⠀⠀⠀⡄⠀⠀⠀⠐⠚⣿⣷⣅⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣶⣤⣄⡐⠀⠀⠀⠀⠚ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⢶⣟⣿⣧⡜⣿⣞⣿⡞⡿⠟⠀⠰⠀⡇⠀⠀⠀⠀⠀⣀⠀⠀⠀⠁⠀⠀⠀⠈⠈⠉⡻⣿⡇⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣶⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡐⣿⣼⣿⣿⣿⡜⣿⣆⠈⠛⠋⠁⢀⠉⢧⣄⠹⠀⠀⠀⠀⠃⠀⠛⣶⣦⣄⠀⠀⠀⠀⠀⠀⢻⣿⣿⡇⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣷⣦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣶⡀⠹⣿⢿⣌⢿⣿⣟⢿⠿⠈⠁⠀⠀⢀⣀⡈⠁⠁⠀⠀⠀⠀⠀⠀⠀⣀⡀⠈⣿⣿⣦⠀⠀⠀⠀⠀⢀⣿⣿⣷⡄⠀⠀⠀⠀⠈⠑⠂⠀⠀⢠⣷⣦⣀⠀⠀⠀⠀⠈⠛⢿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡰⣶⣽⣷⡹⣷⡀⢻⣿⢿⠧⠛⠉⠀⠀⢀⣠⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡂⠈⢃⣸⣿⡿⠀⠀⠀⠀⠀⠈⢿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠿⣷⣦⣄⡀⠀⠀⠀⠈⠉ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣷⡹⣿⣿⣷⡹⠿⠛⠉⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣄⠀⣶⣿⣿⠏⠀⠀⠀⠀⢰⡀⠈⢿⣿⣿⣷⡄⠀⠀⠀⣠⣶⣶⡐⣶⣤⣤⣄⠀⠈⠙⠻⠷⢀⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠀⠀⠁⣠⣾⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣆⡿⣝⠉⠂⠀⠀⠀⠀⠀⠁⠀⠈⢿⣿⣿⣿⡄⠀⢠⣿⣿⣿⠛⢈⣿⣿⣿⣿⣷⣶⡞⠃⢈⠁⢠⣶ ⠀⠆⠲⣶⠏⢷⠖⠰⠽⠿⠷⠀⠈⠀⢰⡄⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⡿⠋⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠒⢶⣇⣿⠀⠰⠀⢀⡀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣦⣸⣿⡿⣳⣆⣠⣿⣿⣿⣿⣿⣿⠏⣠⣿⠀⠊⢙ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⢸⠿⠋⢸⣿⣿⣿⣿⣿⣿⣿⣿⣦⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠘⢻⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠻⠿⣿⠋⢿⠏⠁⠈⠉⠉⠉⠙⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠺⢿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠀⠀⠀⠈⣿⣿⣿⠀⠀⠀⠀⢰⣦⣤⡦⠀⠀⠀⠀⠐⠒⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢈⣿ ⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⠀⠀⠀⠠⠟⠋⠀⠀⡄⠀⠀⠀⠀⠀⠁⠀⠀⠀⣀⡰⠆⠀⠀⠀⠀⠀⠀⣀⠠⢴⣈⠙⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⢿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠰⢟⡫⠚⠀⠀⢀⢀⣀⣼⣷⠾⠛⠉⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣤⣤⡤⠤⠀⠉⣀⣠⣤⡶⠾⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢷⣤⠀⠀⢀⣀⠀⠀⠀⠀⠀⠘⠿⠀⠰⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣛⡣⣾⡻⠗⠙⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⡰⠀⠀⢀⣀⡀⣾⣻⡗⠀⠀⠙⠃⠀⠀⠀⠀⠀⠀⣀⣤⡰⣷⣽⣷⡙⣛⡿⣷⡀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣿⣿⠿⠿⠛ ⠙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣽⣋⡙⣛⡿⣷⡄⠀⠀⠀⠀⢀⡠⣶⡸⣿⡽⣿⡽⣿⣿⣷⡙⠿⣛⡤⡿⠛⠛⠛⠛⠋⠉⠉⠉⠁⠀⠀⠀⠀ ⠠⣤⣄⣀⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⣤⡶⣶⡹⣿⢿⣎⣩⣝⣿⡟⠛⠋⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠙⠓⠉⠀⠒⠠⣶⣿⣄⣤⡀⠀⠀⠀⠀⠀⢀⣠⢀⠀⠀ ⠀⠈⠙⠿⢿⣿⣶⣶⡮⠥⠀⠉⠉⠉⠛⠿⢿⣿⣿⣿⣿⣿⠿⣷⣦⡄⠀⣠⣶⣦⠀⠹⣿⡿⠃⢻⣿⢻⠿⠉⠉⢀⡀⣴⡄⠘⣿⣿⣦⠘⣿⣆⠹⠿⠈⠉⠀⠀⠶⠆⣤⡦⠀⠹⣿⣿⡿⠁⠀⠀⢠⢘⣾⣿⣿⡿⠟⠀ ⠀⠀⠀⠀⠉⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⣠⣴⡾⠿⠽⢷⣶⣦⡀⠘⣿⠄⢈⠉⢀⣀⡀⣶⡽⣿⡜⣿⣆⠹⣷⡿⡷⠘⠋⠀⠀⠀⠈⣴⣄⡀⠀⠈⠁⠀⠀⠉⠙⠛⠀⠄⠀⠘⠉⠉⠛⠛⠓⠲⠶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣾⣟⣋⠹⣿⡄⠀⠰⣷⡿⠃⡀⠀⣀⣤⡄⣿⡽⢟⡘⣿⡞⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣴⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⢿⣟⣀⠹⡿⠄⠀⠀⠀⣠⣶⣶⡝⣿⣴⠜⣿⣟⣿⡜⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣼⣿⣶⣦⣀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠛⢿⣷⣄⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡮⠟⠫⠵⢖⡀⣴⣆⠀⠘⣿⣾⣷⡜⣿⣶⠎⠛⡁⠰⡤⠂⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⠀⠀⠀⠀⠀⠀⠉⠹⢿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠈⠋⠀⠀⢁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢀⣠⣔⣾⣝⣿⡜⣿⣆⠀⠘⣿⡞⠛⠈⠴⠌⠈⠁⠁⠀⠀⠀⡄⠀⠀⠀⠰⠚⣿⣷⣅⡄⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣶⣤⣀⠐⠀⠀⠀⠀⠚ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⢶⣟⣿⣧⡜⣿⣞⣿⡞⡿⠟⠀⠰⠀⡇⠀⠀⠀⠀⠀⣀⠀⠀⠀⠁⠀⠀⠀⠈⠈⠈⣻⣿⡇⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⣶⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡐⣿⣼⣿⣿⣿⡜⣿⣆⠈⠛⠋⠁⢀⠉⢧⡀⠙⠁⠀⠀⠀⠓⠀⠛⣶⣦⣄⠀⠀⠀⠀⠀⠀⢻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣷⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣶⡀⠹⣿⢿⣌⢿⣿⣟⢿⠿⠈⠁⠀⠀⢀⣀⠈⠁⠁⠀⠀⠀⠀⠀⠀⠀⣀⠀⠈⢿⣿⣦⠀⠀⠀⠀⠀⢀⣿⣿⣷⡄⠀⠀⠀⠀⠈⠑⠂⠀⠀⢠⣷⣤⡀⠀⠀⠀⠀⠉⠛⢿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡰⣶⣽⣷⡹⣷⡀⢻⣿⢿⠧⠛⠉⠀⠀⢀⣤⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡃⠈⢃⣸⣿⡿⠀⠀⠀⠀⠀⠈⢿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠿⣷⣤⣀⡀⠀⠀⠀⠉⠙ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣷⡹⣿⣿⣷⡹⠿⠛⠉⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣄⠀⣶⣿⣿⠟⠀⠀⠀⠀⢰⡀⠈⢿⣿⣿⣷⡀⠀⠀⠀⣠⣶⣶⡐⣶⣤⣤⣄⠀⠈⠙⠻⡶⠀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠀⠀⠁⣠⣾⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣄⣿⣝⠉⠀⠀⠀⠀⠀⠀⠁⠀⠈⢿⣿⣿⣿⡄⠀⢰⣿⣿⣿⠓⠈⣿⣿⣿⣿⣷⣶⠞⠃⢈⠁⢠⣶ ⠀⠆⠲⣶⠏⢷⠖⠴⠽⠿⠷⠀⠈⠀⢰⡄⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⡿⠋⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠲⢶⣇⣾⠀⠠⠀⢀⡀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣦⢸⣿⡿⣳⣆⣨⣿⣿⣿⣿⣿⣿⠇⣠⣿⠀⠈⠙ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⢸⡿⠋⢸⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠘⢿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠻⠿⣿⠋⢻⠟⠁⠈⠉⠉⠉⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠸⢿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠂⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⢰⣦⣤⡦⠀⠀⠀⠀⠐⠒⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⣿ ⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⠀⠀⠀⢠⠿⠛⠁⠀⡄⠀⠀⠀⠀⠀⠁⠀⠀⠀⣀⡰⠆⠀⠀⠀⠀⠀⠀⣀⠠⠤⡊⠙⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⢿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⢰⠟⡫⠚⠁⠀⢀⠀⣀⣴⣿⡿⠟⠁⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣦⣤⡤⠤⠀⠊⣁⣠⣤⡶⠾⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢷⣤⠀⠀⢠⣀⠀⠀⠀⠀⠀⠘⠿⠀⠰⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣛⡣⣾⡻⠗⠙⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⡱⠀⠀⢀⣀⡀⣾⣻⡗⠀⠀⠙⠃⠀⠀⠀⠀⠀⠀⣀⣤⡰⣷⣽⣷⡙⢛⡿⣷⡀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⠿⠿⠟ ⠙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⣿⣽⣋⡙⣛⡿⣷⡄⠀⠀⠀⠀⢀⡠⣶⡸⣿⡽⣿⡽⣿⣿⣷⡙⠿⣛⡄⡿⠟⠛⠓⠛⠛⠛⠉⠉⠁⠀⠀⠀⠀ ⠠⣤⣄⣀⠙⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⣤⡶⣶⡹⣿⢿⣎⣩⣝⣿⡟⠛⠋⠀⢀⣠⣔⠾⣿⣏⠹⣿⡽⣿⣽⣿⠙⠓⠉⠀⠐⠠⣦⣽⣄⣤⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀ ⠀⠈⠛⠿⢿⣿⣶⣶⡶⠅⠀⠉⠉⠉⠛⠿⢿⣿⣿⣿⣿⡿⠿⣷⣦⡄⠀⣠⣶⣦⠀⠹⣿⡿⠃⢻⣿⢻⠿⠉⠉⢀⡀⣴⡄⠘⣿⣿⣦⠘⣿⣆⠹⠿⠈⠉⠀⠀⠶⠆⣤⣦⠀⠹⣿⣿⡿⠃⠀⠀⢠⠰⣾⣿⣿⡿⠷⠀ ⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⣠⣴⡾⠿⠽⢷⣶⣦⡀⠘⣿⠄⢈⠉⢀⣀⡀⣶⡽⣿⡜⣿⣆⠹⣷⡿⡷⠘⠋⠀⠀⠀⠠⣤⣄⡀⠀⠈⠁⠀⠀⠙⠛⠻⠤⠄⠀⠘⠈⠙⠛⠛⠳⠶⠶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣾⣟⣉⠹⣿⡄⠀⠰⣷⡿⠃⡀⠀⣀⣤⡄⣿⡽⢟⡘⣿⡞⣿⡜⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢴⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠘⢿⣟⣀⠹⡿⠄⠀⠀⠀⣠⣶⣶⡝⣿⣴⠜⣿⣟⣿⡜⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣭⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠙⢿⣷⣄⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡮⠟⠫⠵⢖⡀⣴⡆⠀⠘⣿⣾⣷⡜⣿⣶⠎⠛⡁⠰⡤⠂⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠋⠀⠀⢁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢀⣠⣔⣾⣝⣿⡜⣿⣆⠀⠘⣿⡞⠛⠈⠴⠌⠈⠁⠁⠀⠀⠀⡄⠀⠀⠀⠰⠚⣿⣷⣅⡄⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣷⣦⣤⣀⠐⠀⠀⠀⠀⠚ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⢶⣟⣿⣧⡜⣿⣞⣿⡞⡿⠟⠀⠰⠀⠇⠀⠀⠀⠀⠀⣀⠀⠀⠀⠁⠀⠀⠀⠈⠈⠈⣻⣿⡇⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⣦⣄⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡐⣿⣼⣿⣿⣿⡜⣿⣆⠈⠛⠋⠁⢄⠙⢦⡀⠛⠀⠀⠀⠀⠓⠀⠻⣷⣦⣄⠀⠀⠀⠀⠀⠀⢻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣶⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣶⡀⠹⣿⢿⣌⢿⣿⣟⢿⠿⠈⠁⠀⠀⢀⣀⠈⠁⠃⠀⠀⠀⠀⠀⠀⠀⢀⠀⠈⢿⣿⣦⠀⠀⠀⠀⠀⢀⣿⣿⣷⡀⠀⠀⠀⠀⠈⠓⠢⠀⠀⢠⣶⣤⡀⠀⠀⠀⠀⠉⠻⢿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡰⣶⣽⣷⡹⣷⡀⢻⣿⢿⠧⠛⠉⠀⠀⢀⣴⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡁⠈⢃⣸⣿⣿⠀⠀⠀⠀⠀⠈⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠿⣷⣤⣀⠀⠀⠀⠀⠉⠛ ⠀⠀⠀⠀⠀⠀⠸⣿⡽⣷⡹⣿⣿⣷⡹⠿⠛⠉⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣤⠀⣶⣿⣿⠟⠀⠀⠀⠀⢠⡀⠘⢿⣿⣿⣷⡀⠀⠀⠀⣠⣶⣦⡰⣶⣤⣤⣀⠀⠈⠛⠻⡦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⠹⠗⠉⠁⠀⠀⠀⠀⠀⠁⣠⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣇⣿⣟⠛⠀⠀⠀⠀⠀⠀⠃⠀⠈⣿⣿⣿⣿⡄⠀⢰⣿⣿⣿⠓⠈⣿⣿⣿⣿⣶⣴⠶⠃⠈⠃⢠⣦ ⠀⠆⠲⣶⠏⢷⠖⠴⠽⠿⠷⠀⠈⠀⢰⡄⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⠿⠋⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠲⢶⣇⣾⠀⠠⠀⢀⡀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣆⢺⣿⡿⣻⡆⣨⣿⣿⣿⣿⣿⣿⠇⣠⣿⠀⠚⠛ ䷩ 𝚕𝚒𝚗𝚎 1284 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at http://techrights.org/2021/10/17/irc-log-161021/#comments Gemini version at gemini://gemini.techrights.org/2021/10/17/irc-log-161021/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 10.17.21⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ IRC_Proceedings:_Saturday,_October_16,_2021⠀✐ Posted in IRC_Logs at 2:18 am by Needs Sunlight Also available via the Gemini protocol at: * gemini://gemini.techrights.org/tr_text_version/irc-log-techrights- 161021.txt * gemini://gemini.techrights.org/tr_text_version/irc-log-161021.txt * gemini://gemini.techrights.org/tr_text_version/irc-log-social-161021.txt * gemini://gemini.techrights.org/tr_text_version/irc-log-techbytes- 161021.txt 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  QmQzn2aZR5EeNr87Tm9uWPdchNxzmvZ5iAsqhsqgq4bwDd #boycottnovell 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈ (full IRC log as HTML) IRC log for #boycottnovell  QmQfLzjRHsB8KWPmffVeaBiYbCE5RW2dEPV1EiP7thK5CF (full IRC log 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈ as plain/ASCII text) IRC log for #boycottnovell-  QmS7yhXaA5d9bxS7Up2ALUqDKUvedU3PnWYeoZQSwbygWo social 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈ (full IRC log as HTML) IRC log for #boycottnovell-  QmXKntoHXsBYWzLCafxr4SXjQQBvGe3gYEgD5CQPEon62h social 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈ (full IRC log as plain/ASCII text) IRC log for  QmYB3T7ZbenBz9jvMfGj8AwfTLF3vNVyop5QJHvJ4AFS2z #techbytes 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈ (full IRC log as HTML) IRC log for #techbytes  QmWD5HfzzBas7yMWpwuVAqLkLtRGs2obtek742p9Jnrtg3 (full IRC log 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈ as plain/ASCII text) IRC log for  QmRaeuh3PxceYbqmZ5BUNVWBiaSLzSY4d9qvbxP7QXf12p #techrights 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈ (full IRC log as HTML) IRC log for #techrights  QmaiwCakz3UcUbRazPkRfNKxRZjWj9hDxoccs8dY2uDCtJ (full IRC log 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈ as plain/ASCII text) 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇IPFS logo⦈ § Bulletin for Yesterday⠀➾ Local_copy | CID (IPFS): QmZQbFL87wWvs9kFDSndgbof4kDmQTqYdyokNAjNg8H7Ca ䷩ 𝚕𝚒𝚗𝚎 1413 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at http://techrights.org/2021/10/17/portuguese-epo-enablers/#comments Gemini version at gemini://gemini.techrights.org/2021/10/17/portuguese-epo-enablers/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 10.17.21⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ Portuguese_Network_of_Enablers⠀✐ Posted in Europe, Patents at 1:51 am by Dr. Roy Schestowitz Video_download_link | md5sum 6dede225e430e53ce6cff4049221e9da http://techrights.org/videos/portugal-epo.webm Summary: Instead of serving Portuguese people or serving thousands of EPO workers (including many who are Portuguese) the delegation from Portugal served the network of Campinos IN parts_14 and (tomorrow’s) 15 we’ll see the degree of corruption at the EPO, Europe’s second-largest institution now run by António_Campinos, who approved for Benoît_Battistelli unlawful regulations that he himself would enjoy for 3.5 years half a decade later. The circle of enables or facilitators isn’t hard to identity; these people constantly meet one another and arrange jobs for each other, sometimes without even advertising openings (for any real competition or hirings based on merit). We’ve been seeing many of the same things in the UPC; what we sometimes refer to as “Team UPC” overlaps Team Battistelli; they’re not scientists but more like ‘moles’ of the patent litigation sector. They crush the law, they ignore constitutions, and they corrupt the media in order to seed lies. “What we’ll probably do some time soon is return to showing not only EPO abuses but also abuses by UPC proponents, who seek to do to patent courts what they’ve already done to patent offices.”I was recently told that Team UPC is “Brute- forcing the PPA, ignoring Brexit once again,” citing this_update about Team UPC stating: “CONSIDERING that provisional application should only come into force when 13 Signatory States” (but it would be illegal to go ahead without the UK, which already left the EU). “We have rumours that UPC proponents wants to go ahead and ignore Brexit and the UK requirement in the PPA,” Benjamin Henrion states, demonstrating that just as EPO management constantly breaks the law in Team UPC it’s pretty much the same. They’ve turned the media into a propaganda machine of illegal operations seeking to undermine constitutions, leaving such questions to be decided maybe a long time later when it’s too complicated to undo the mess. What we’ll probably do some time soon is return to showing not only EPO abuses but also abuses by UPC proponents, who seek to do to patent courts what they’ve already done to patent offices. It’s vendor (or regulatory) capture. █ ䷩ 𝚕𝚒𝚗𝚎 1479 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at http://techrights.org/2021/10/17/rude-liar-epo/#comments Gemini version at gemini://gemini.techrights.org/2021/10/17/rude-liar-epo/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 10.17.21⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ Austria’s_Right-Wing_Politicians_Displaying_Their_Arrogance_to_EPO Examiners⠀✐ Posted in Deception, Europe, Patents at 4:29 pm by Dr. Roy Schestowitz Video_download_link | md5sum 0b878085120e5065accd501a44428421 http://techrights.org/videos/austria-epo.webm Summary: The EPO‘s current regime seems to be serving a money-hungry lobby of corrupt officials and pathological liars; tonight we focus on Austria IN Part_15 of the current series we saw one of many enablers of Benoît Battistelli; some of them are convicted fraudsters, sure, but António Campinos‘s EUIPO was happy_to_give_them_honourable_jobs,_nevertheless. Jobs_as bribes_are_a_thing_in_Alicante. “Team Battistelli and Team UPC are mostly the same people (or overlapping interests).”The video above is the first of several regarding Austria and Rude- Liar. We will continue tomorrow, but along the lines (towards the end) I decided spontaneously that it would be worthwhile examining the latest 3 EPO “news” items, posted over the past week in the EPO’s site. The plans these people have for Europe are_very_dark. Some examiners at the EPO might be late to realise it. They should carefully examine the evidence and push back. Team Battistelli and Team UPC are mostly the same people (or overlapping interests). Lots of lying and cheating. New examples below (found hours ago). █ 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇More_fake_news_about_UPC;_they_need_the_UK_and_cannot_have the_UK._UPCA_is_dead,_but_they_cheat,_lie,_bribe_the_media_too_sometimes.⦈_ 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Mathieu_Klos_has_turned_from_journalist_into_spammer._This isn't_journalism_or_reporting,_it's_just_marketing_placement_for_litigation firms_dressed_up_as_'news'._Also_notice_the_UPC_plug_(lie)_in_the_third paragraph_(and_below,_reproduced).⦈_ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡻⢛⣛⠻⣿⡿⣿⡿⢿⣿⣿⡿⠿⡿⢿⠿⢿⡿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣇⠁⣿⣿⡷⢸⡇⢯⠾⢇⡇⠿⡇⣧⡇⢽⠸⢇⡇⣷⣝⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿ ⣿⣿⣦⣌⣉⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ䷩ 𝚕𝚒𝚗𝚎 1669 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at http://techrights.org/2021/10/17/the-corruption-of-friedrich-rodler/#comments Gemini version at gemini://gemini.techrights.org/2021/10/17/the-corruption-of-friedrich-rodler/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 10.17.21⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ The_EPO’s_Overseer/Overseen_Collusion_—_Part_XV:_Et_Tu_Felix_Austria…⠀✐ Posted in Europe, Law, Patents at 3:21 pm by Dr. Roy Schestowitz Series parts: 1. The_EPO’s_Overseer/Overseen_Collusion_—_Part_I:_Let_the_Sunshine_In! 2. The_EPO’s_Overseer/Overseen_Collusion_—_Part_II:_A_“Unanimous” Endorsement? 3. The_EPO’s_Overseer/Overseen_Collusion_—_Part_III:_Three_Missing_Votes 4. The_EPO’s_Overseer/Overseen_Collusion_—_Part_IV:_The_Founding_States 5. The_EPO’s_Overseer/Overseen_Collusion_—_Part_V:_Germany_Says_“Ja” 6. The_EPO’s_Overseer/Overseen_Collusion_—_Part_VI:_A_Distinct_Lack_of_Dutch Courage 7. The_EPO’s_Overseer/Overseen_Collusion_—_Part_VII:_Luxembourgish_Laxity 8. The_EPO’s_Overseer/Overseen_Collusion_—_Part_VIII:_Perfidious_Albion_and Pusillanimous_Hibernia 9. The_EPO’s_Overseer/Overseen_Collusion_—_Part_IX:_More_Holes_Than_Swiss Cheese 10. The_EPO’s_Overseer/Overseen_Collusion_—_Part_X:_Introducing_the Controversial_Christian_Bock 11. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XI:_“General_Bock”_– Battistelli’s_Swiss_Apprentice? 12. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XII:_The_French_Connection 13. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XIII:_Battistelli’s_Iberian Facilitators_–_Spain 14. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XIV:_Battistelli’s_Iberian Facilitators_–_Portugal 15. YOU ARE HERE ☞ Et Tu Felix Austria… 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Friedrich_Rodler_and_Andrea_Scheichl⦈_ The Austrian delegation: Friedrich Rödler and his deputy Andrea Scheichl. Summary: Prior to the Benoît_Battistelli and António_Campinos regime the EPO‘s hard-working staff was slandered by a corrupt Austrian official, Mr. Rödler The Federal Republic of Austria is not a founding state of the EPO but it nevertheless plays a significant role in the organisation’s affairs due to the fact that it is the third host state. There is a small EPO sub-office located in Vienna (warning: epo.org link) which employs 87 staff and is mainly concerned with patent information and publication services. “There is a small EPO sub-office located in Vienna which employs 87 staff and is mainly concerned with patent information and publication services.”In this part we will take a closer look at the delegation representing Austria on the EPO’s Administrative Council in June 2013. At that time, the delegation was headed by the Director of the Austrian Patent Office, Friedrich_Rödler, who was assisted by his deputy, Andrea Scheichl. Rödler’s escapades during his time as Director of the Austrian IPO between 2005 and 2015 made the headlines in his home country and will be treated to an in- depth exposé here. “Rödler’s escapades during his time as Director of the Austrian IPO between 2005 and 2015 made the headlines in his home country and will be treated to an in-depth exposé here.”Rödler never quite managed to make the grade as an “alpha male” silverback in the pecking order of the EPO’s Administrative Council, although he may well have had ambitions in that direction. But back on his home turf in Vienna, he was permitted to run the show at the Austrian Patent Office without any effective ministerial oversight or control until he finally ran out of luck in 2015 as a result of his own hubris and greed. The civil service in Austria is extremely “politicised” – in the sense that senior civil servants are typically card carrying members of a particular political party. Rödler is a member of the Austrian_FPÖ which was founded by Jörg_Haider. This party presents itself as residing in the political “centre” but it is more generally perceived as “right-wing populist” and “national-conservative”. Rödler was an unsuccessful candidate for the FPÖ in the Vienna regional elections in 2005 and 2015. He is also reputed to be connected_to_Masonic circles in Austria associated with the former FPÖ finance minister Karl-Heinz Grasser who was jailed_for_corruption in 2020. “The civil service in Austria is extremely “politicised” – in the sense that senior civil servants are typically card carrying members of a particular political party.”Rödler’s appointment as Director of the Austrian Patent Office followed an amendment to the Patent Act at the end of 2004 under Minister Hubert_Gorbach (FPÖ). This amendment removed a previous restriction according to which only academically qualified staff members of the Patent Office were eligible to apply for the position of Director. At the time of its adoption, the amendment was strongly criticised by opposition parties in Austria. In particular, it was criticised for opening the door to purely political appointments at the senior management level of the Patent Office. Rödler’s subsequent appointment as Director of the Patent Office in 2005 showed that these fears were entirely justified. Indeed, it’s no exaggeration to say that his ten-year tenure at the head of the Austrian Patent Office – from 2005 to 2015 – was continuously dogged by political controversy. “The President of the EPO – Alain Pompidou – responded by stating that Rödler’s comments were “misleading in substance” and had been made in an inappropriate manner.”In 2007, Rödler launched his own private vendetta against the European Patent Office (EPO) and its staff when he issued a press_release [PDF] complaining that he was “severely disappointed by the performance of the EPO” and claiming that he found “the discrepancy between salary level and output [of patent examiners] increasingly incomprehensible”. The President of the EPO – Alain Pompidou – responded by stating that Rödler’s comments were “misleading in substance” and had been made in an inappropriate manner. Rödler was not deterred and continued to draft further dispatches in a similar tone. In the end, his supervising minister – at the time, Werner_Faymann of the SPÖ – was obliged to intervene and apologise officially to the EPO and its staff. Faymann wrote that “Austria very much appreciates the EPO’s work” and he assured that he would “take care of an improved communication structure.” 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Werner_Faymann⦈_ The minister responsible for the Austrian Patent Office, Werner Faymann, felt obliged to publicly apologise for Rödler’s “misleading” and “inappropriate” attacks on EPO staff in 2007. Even this intervention by his supervising minister wasn’t enough to stop Rödler who continued to issue misleading statements about a purported “debt quagmire” at the EPO. “Even this intervention by his supervising minister wasn’t enough to stop Rödler who continued to issue misleading statements about a purported “debt quagmire” at the EPO.”Given his deeply entrenched hostility towards EPO staff, it’s unlikely that Rödler had any qualms about supporting Battistelli’s “Strike Regulations” in June 2013. And it seems equally improbable that his submissive deputy Andrea Scheichl dared to express any contrary opinion on the matter. However, by a curious twist of irony, just as Rödler was voting to trample on the rights of EPO staff in June 2013 he was becoming embroiled in what the Austrian media called an “embarrassing farce” back home in Vienna. This affair revolved around a “second salary” which Rödler received in addition to his regular remuneration as head of the Patent Office and it would lead to his downfall in due course. “This affair revolved around a “second salary” which Rödler received in addition to his regular remuneration as head of the Patent Office and it would lead to his downfall in due course.”To fully understand what was going on here it is worthwhile conducting a detailed review of Rödler’s career at the Austrian Patent Office starting with his appointment as Director in 2005. At the time in question, Rödler was a senior civil servant holding the position of Secretary-General at the Patent Office’s supervising Ministry (Bundesministerium für Verkehr, Innovation und Technologie – BMVIT). Right from the word go, Gabriela_Moser – an Austrian MP from the Green Party – was on Rödler’s case with a parliamentary question about the circumstances of his appointment to the top job at the Patent Office. As a matter of fact, during the period between 2005 and 2016, Moser submitted no less than four parliamentary questions about Rödler and his activities in connection with the Austrian Patent Office. “As a matter of fact, during the period between 2005 and 2016, Moser submitted no less than four parliamentary questions about Rödler and his activities in connection with the Austrian Patent Office.”In the first parliamentary question submitted_in_February_2005 [PDF], Moser referred to various suspected irregularities which occurred on Rödler’s watch as BMVIT Secretary-General. These suspected irregularities included inconsistencies in the award of public contracts connected with the relocation of the Patent Office from the city centre to an outlying suburb of Vienna. Moser also referred to Rödler’s exceptionally well-endowed special contract as Secretary-General and she criticised the 2004 amendment of the Patent Act, which removed previous restrictions on prospective candidates for the position of Patent Office Director. According to Moser, the amendment was specifically tailored to permit Rödler to be installed into the top job by his political sponsors. 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Gabriela_Moser⦈_ Rödler’s nemesis, the late Gabriela Moser of the Austrian Green Party (front left), protesting against legislative plans to increase state surveillance. In October 2009, Moser was back on Rödler’s case when she submitted_a_second parliamentary_question [PDF] about his management style and his controversial track record as head of the Patent Office since 2005. “More specifically, there were allegations of “intimidation” by Rödler, including unjustified disciplinary procedures against staff – in one case a private lawsuit against a staff member – and harassment of staff representatives, in particular one who had given support to an employee targeted by Rödler.”Amongst other things, Moser accused Rödler of stoking conflicts with the EPO and of an excessively confrontational management style at the Austrian Patent Office. More specifically, there were allegations of “intimidation” by Rödler, including unjustified disciplinary procedures against staff – in one case a private lawsuit against a staff member – and harassment of staff representatives, in particular one who had given support to an employee targeted by Rödler. In addition to this, questions were asked about Rödler’s involvement with serv.ip, a partially autonomous unit of the Patent Office which had been set up to provide “IP information services” on a commercial basis, apparently without a proper legal basis. “In all of these cases Rödler was found to have acted in a manner that was “not in accordance with the law”.”The issues raised in Moser’s second parliamentary question were taken up in an article published [PDF] in the Austrian newspaper Die Presse under the title “Friedrich_Rödler:_The_Stern_Master_of_the_Patent Office”. In this newspaper article it was reported that the Staff Representation Supervisory Commission of the Austrian Federal Chancellery had investigated six complaints against Rödler in 2007. In all of these cases Rödler was found to have acted in a manner that was “not in_accordance_with_the_law”. However, despite the extensive allegations of misconduct against Rödler, the Minister in charge of the BMVIT, Doris Bures, was not deterred from renewing his appointment for another five years in 2010. 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Friedrich_Rodler_and_Minister_Doris_Bures⦈_ Rödler with Minister Doris Bures who renewed his appointment in 2010 before his “second salary” from serv.ip became a matter of public controversy. As we shall see in due course, Bures probably lived to regret her decision. “As we shall see in due course, Bures probably lived to regret her decision.”A few years later in 2013, Rödler was back in the headlines again. This time the renewed public scrutiny was linked to his role as “managing director” of serv.ip and, more specifically, to a second salary which he had awarded himself in this capacity. In the next part we will see how this very public controversy eventually led to Rödler’s downfall in 2015. █ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣠⡴⠖⠉⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⣴⣿⢎⣴⣶⡖⠀⠀⠀⠀⠀⠀⣷⠀⠀⢸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⡗⠛⣿⠟⠁⠀⠀⠀⠀⠀⠀⣿⡄⠀⢸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣧⣿⣿⡿⠉⠉⢿⡿⠉⠩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⠀⡀⠀⠀⠀⠀⠀⠀⠿⠷⠆⠺⠿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣷⣶⣿⣷⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢰⣿⡟⣿⣟⡛⠃⠀⠀⠀⠀⠀⠀⠀⣴⣆⠀⢸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⢿⣿⣿⣿⣿⣿⣙⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⠘⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⢻⣿⣶⣬⣭ ⣿⣿⣿⣿⣿⣿⡿⠿⠟⠉⠀⠀⢰⡀⠙⢿⣻⣟⠛⠛⠋⣻⡟⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⣸⡿⠿⠀⢹⡷⢀⣀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿ ⣿⡿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠈⣷⣄⠈⠙⢿⣟⣿⣿⡿⠁⠀⠀⠀⠉⠙⠿⢿⣿⣿⣿⣿⣿⣿⣿⣟⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠃⢉⡉⠀⠀⠀⣺⡃⡨⡋⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣷⡄⠀⢉⣻⣿⡆⠀⣤⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠉⠀⢠⡞⠁⠀⠀⠀⠉⠠⣙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢫⡑⠀⢀⣶⣿⣿⣇⣼⡟⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⠈⠈⡿⠀⠀⠀⠀⠀⠀⠂⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡷⢰⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⢠⣦⣦⡀⠀⠀⠀⠐⣶⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣻⣿⣿⣿⣿⡇⠀⠀⣀⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠹⣿⠀⠀⠀⠀⢀⡿⣾⣿⡇⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣁⣴⣾⡿⠏⠀⠀⠀⠀⣿⣿⡏⢿⡇⣽⢫⢹⣿⢸⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⣿⢡⣬⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣼⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⣿⣿⣿⠸⢁⡿⢺⡋⣿⢸⣿⣿⢸⣿⡿⣿⣿⣿⡟⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢣⢫⣡⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⣼⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠙⠁⠀⠀⢈⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⡀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡁⠀⠀⠀⠀⡤⣾⡿⠿⠟⣋⣉⣩⣽⣿⣿⣿⣦⠈⣿⣿⣿⠀⠀⠀⢀⣿⣦⣶⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡕⢀⠁⠀⠀⣬⡾⣠⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣹⣿⣿⠁⠀⠙⠻⣿⣿⣿⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⡀⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡇⠀⠀⠀⠀⠸⠃⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⣸⠢⢙⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⣿⣿⢿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⡯⢸⡿⢿⠥⠀⠀⢸⣿⣿⠀⣿⣿⡯⢿⣿⠿⠇⠨⢿⣯⣿⣧⣿⣿⣿⣿⣿⣿⡆⠀⢿⣿⣿⡿⠹⠿⠛⠯⣯⢺⣿⣿⣿⣿⣿⢿⣿⣿⣿⣟⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣟⣛⣿⣿⣿⣿⣿⣿⣿⣷⣾⣷⡞⠀⠀⠀⢸⣿⣿⠀⠒⠒⠶⢿⡷⠒⠃⠀⠞⢉⣟⣂⣹⣿⣿⣿⣽⣿⡇⠀⢀⡿⣷⣤⣀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣼⣿⣿⣿⡗⠛⠛⣻ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣏⠹⠶⠄⠀⠀⢸⣿⣿⠀⠀⠀⠀⢨⣯⡴⢃⡀⠀⠀⢸⣿⡇⠀⣤⢂⠹⣿⡇⣴⣿⣭⣽⣻⣛⣛⠀⠀⠀⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⠹⢿⢿⡯⣽⣿⣿⣿⣟⣛⣫ ⣿⣿⣿⣿⢿⣿⣿⡢⣽⣿⣿⣿⣿⣿⣿⠋⡍⡛⠦⠀⠀⠀⠀⣿⣿⣿⠀⢀⠀⢱⣿⣿⠿⠀⠉⡦⣤⣼⣿⣧⣤⣟⣏⡁⢻⣿⣿⡟⣛⣻⡍⣹⠯⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣴⣿⣟⣿⣶⣾⣿⣥⣿⣿⣿⡏ ⣿⣿⣿⣿⣭⣽⣿⠩⣬⣭⣭⡟⠁⠉⠉⢠⠁⠀⠀⠀⠀⠀⠀⢠⠙⠃⠈⠀⠀⠛⢻⢱⠒⠀⠀⠁⢻⣿⣿⣿⣿⣿⣧⣠⣿⣿⣿⣿⣸⣿⠍⠁⠀⠀⠀⠛⠿⢿⣿⣿⣿⠋⡀⠁⠈⠙⠿⢿⣯⠼⣿⣿⣿⢷⢝⡻⢿⣿ ⣿⣿⣿⣿⣿⡿⠇⠀⣿⣿⡟⠀⠀⠀⠀⠈⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢸⡟⠙⠃⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠃⣀⠄⠀⠀⠀⠀⠀⠉⠃⠡⠝⣒⣀⡀⣿⣿⣿⣧⣺⣟⣿⣯⣷⣿⣷⣙ ⣿⣿⣿⣿⣿⣇⠀⠀⠈⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⢀⣀⣤⢀⡜⠻⠏⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠊⠉⣩⠁⡤⠋⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠾⢿⣿⠁⢘⣿⡉⠀⠀⠀⠛⠛⠉⢻⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠆⠉⠉⠀⡀⠀⣤⣄⠀⠀⠀⠀⠀⠀⢀⣀ ⣿⣿⣿⣷⣿⣿⣿⣦⡀⠀⣀⣾⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⢣⡿⠁⠀⠸⡿⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣡⣶⣿⣿⣇⣀⣀⣠⣤⣤⡀⠻ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⠀⠀⠀⠀⠀⠀⠀⠂⠀⣼⠏⠀⢸⡗⣴⡴⠀⣶⣤⣤⣀⣤⣦⣄⡀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤ ⣿⡟⠯⠙⠋⠙⢭⡉⢉⢹⡽⢿⠏⠀⠀⠀⠀⠀⠀⠀⠀⡼⢟⡀⠀⢸⢩⣿⡇⢀⣟⣋⣫⣭⣭⣿⣷⣾⣿⣿⣿⣿⡀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⢀⣩⣉⣡⠀⢸⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⡆⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⠄⠤⠀⠀⠀⠪⣾⣷⣿⣾⣮⣾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣒⣀⡠⣤⠀⠹⢿⠻⡽⠿⠈⠛⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⡀⠀⠙⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠋⠉⠀⠀⠀⠈⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⡆⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⡿⠿ ⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣼⣄⡀⣠⠀⠸⣿⣿⣿⣷⣿⣿⣿⣿⣿⡿⠿⠟⠛⢻⣿⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣶⣶⣿⣿⣿⣿ ⣭⣽⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣿⠀⠀⠀⠀⢠⠀⠀⠀⠀⢀⣿⣿⣿⡁⣸⠀⣿⣿⡿⠿⠛⠛⠉⠉⠁⠀⠐⠀⠀⣾⣯⠀⠉⠉⠙⠛⠛⠛⠛⠛⠻⠿⠿⠿⠿⠿⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣛⣛⣻⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⢸⡇⠀⠀⠀⣸⠀⠀⠀⠀⢸⣿⣿⡿⠁⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿ ⣭⣭⣭⣤⣤⣴⣶⣶⣶⣶⣾⣿⣿⣷⠀⠀⠀⣿⠀⠀⠀⠀⣾⣿⣿⡿⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣑⠀⠀⣛⣯⡅⠀⢀⡄⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢛⣛⣛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⢰⡿⠀⠀⠀⠀⣿⣿⣿⣢⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⡿⠿⠟⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣀⣠⣀⣀ ⠿⠿⠿⠿⠛⣛⣛⣛⣋⣭⣭⣭⣽⣟⠀⠀⣶⣼⠀⠀⠀⠀⣿⢿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⣶⡆⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣬⡙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣷⣦⣉⠻⢿⣿⣿⣿⣿⣽⣿⣿⣷⣯⣿⣿⡯⣏⣿⣿⣽⣧⣿⣿⣽⡯⣿⣩⣟⣙⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣾⣿⣿⣾⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣇⣿⣻⣿⣿⣿⣼⣻⣿⣻⣿⣷⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠽⣾⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣝⣢⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⡿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣶⣶⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣸⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣳⣿⠇⠀⠀⠀⠀⠈⠉⠉⠛⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⢿⣿⣿⣿⣿⣛⢿⡧⡙⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁⠀⠈⣿⣽⣞⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢄⣿⣿⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⢫⡹⣿⢏⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⢿⣿⠇⣴⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢻⣿⣿⣿⣿⣿⣿⣿⠏⠀⠈⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠹⣧⣄⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⢻⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢑⣲⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠰⠖⢀⣻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⡿⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠿⠿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 2053 ╒═══════════════════ 𝐃𝐀𝐈𝐋𝐘 𝐋𝐈𝐍𝐊𝐒 ═════════════════════════════════════════════╕ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 10.17.21⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ Links_17/10/2021:_Blender_2.93.5,_Microsoft_Bailouts⠀✐ Posted in News_Roundup at 1:29 pm by Dr. Roy Schestowitz 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈ § Contents⠀➾ * GNU/Linux o Distributions o Devices/Embedded * Free_Software/Open_Source * Leftovers * § GNU/Linux⠀➾ o § Desktop/Laptop⠀➾ # ⚓ Linux_Locales⠀⇛ Locale is often ignored aspects of a system. Especially if you’re America. For most systems, locale is chosen on installation. But for distributions like ArchLinux, you do need to config locale yourself. Now there’re two ways to config set locale. One way is described on ArchLinux Wiki, edit /etc/locale.gen to enable the locale and use locale-gen to generates it. Finally set $LANG to the locale you want. The second way is to use DE, take KDE for example. You can set locale in system settings under languages or formats. And unlike locale-gen, it doesn’t need root permission. Surprisingly, it actually work! I always set time format in formats to British while keep other America. The time format on system panel did changed to British after that. However, after rebooting, some terminal applications will complain about invalid locales. Mosh even refuses to work! I just set $LC_ALL to C in situations like this. But there must be something wrong about it. o § Audiocasts/Shows⠀➾ # ⚓ Ads_in_Firefox,_Android_is_confirmed_spyware,_and_PinePhone PRO_released_–_Linux_+_open_source_News_–_Invidious⠀⇛ This time, we have The Pine 64 announcing the PinePhone PRO, Firefox putting ads in the suggestions bar, and a study confirming that Android gathers a LOT of data on their users, on top of major Ubuntu and KDE releases. o § Kernel Space⠀➾ # ⚓ Vortex86_Processors_Finally_Seeing_Work_In_2021_For_Proper Handling_Under_Linux_–_Phoronix⠀⇛ The Vortex86 32-bit SoCs have worked under Linux for those distributions still maintaining 32-bit x86 support and where not hitting corner-cases of some i686 level features not being supported by some Vortex86 cores, but there is finally a pending kernel patch to provide proper CPU detection for Vortex86 hardware. The DM&P Electronics Vortex86 SoCs work with various older Linux distributions just fine without catering the Linux kernel to these CPUs in not requiring any special handling compared to the generic x86 32-bit paths. This formal detection and support for DM&P Vortex processors being worked on now though in late 2021 is motivated by Spectre and Meltdown mitigations being incorrectly applied to them. # ⚓ Linux_To_No_Longer_Enable_AMD_SME_Usage_By_Default_Due_To Problems_With_Some_Hardware_–_Phoronix⠀⇛ Being sent in as a fix for the Linux 5.15 kernel this morning and to be back-ported to existing stable series is a behavior change that the Linux kernel will no longer use AMD Secure Memory Encryption (SME) by default on supported hardware but rather making it now opt-in due to shortcomings of some platforms. Since the introduction of AMD SME support to the Linux kernel, Secure Memory Encryption has been activated by default when the SME support (AMD_MEM_ENCRYPT) is built into the kernel. That defaulting of “AMD_MEM_ENCRYPT_ACTIVE_BY_DEFAULT” allowed for Secure Memory Encryption to be used out-of-the-box without needing to specify any extra kernel parameters or the like. Unfortunately, that’s led to boot failures on some platforms particularly around IOMMU along with other headaches to work out as well, like some graphics driver issues with not expecting the memory to be encrypted. o § Instructionals/Technical⠀➾ # ⚓ How_To_Install_Apache_Cassandra_on_Debian_11_–_idroot⠀⇛ In this tutorial, we will show you how to install Apache Cassandra on Debian 11. For those of you who didn’t know, Apache Cassandra is a NoSQL database used for storing large amounts of data. It has a distributed architecture and is designed to manage large volumes of data with dynamic replication. It is used by many large companies like Github, NetFlix, Reddit, and Instagram. This article assumes you have at least basic knowledge of Linux, know how to use the shell, and most importantly, you host your site on your own VPS. The installation is quite simple and assumes you are running in the root account, if not you may need to add ‘sudo‘ to the commands to get root privileges. I will show you through the step-by- step installation of the Cassandra open source NoSQL database on a Debian 11 (Bullseye). # ⚓ Adam_Young:_Ironic_Clean_PXE_failure⠀⇛ One of our ironic baremetal nodes was suffering a cleaing failure. Fixing it was easy…once we knew the cause/ Cleaning is a process by which ironic prepares a node for use. It removes old data and configuration from a node. In order to do that, it has to run a simple image. We use a Debian based image, known as the IPA image, as it runs the Ironic Python Agent. This image is installed via PXE boot. So, if the PXE setup is broken, the node can’t be cleaned. # ⚓ Fixed_wait_for_kernel_video_modules_to_load⠀⇛ The pups have, I think, “udevadm settle” in /etc/ rc.d/rc.sysinit, which waits for all kernel drivers to load before continuing. However, attempting to get to the desktop quicker, EasyOS does not have this, instead waits for the kernel video module(s) to load before bringing up the desktop. That is, EasyOS does not wait for all modules to load, just enough to bring up the Xorg desktop. # ⚓ How_to_Monitor_IT_Infrastructure_using_Checkmk_– kifarunix.com⠀⇛ In this tutorial, you will learn how to monitor IT infrastructure using Checkmk. Checkmk is a free and Open Source IT infrastructure monitoring tool, alternative to Nagios. It provides a powerful monitoring of networks, servers, clouds, containers and applications. Fast. Effective. # ⚓ How_to_use_TOP_command_–_Unixcop⠀⇛ Administrators should know what processes are running and the consumption of each of them. That’s why you need tools to help you to monitor your system and watch the utilization of it, and as a result you tune your system better to make greater use of it by killing unneeded processes or give priority to the important ones. One of the tools (commands) to do so is TOP command and this article is for how to use TOP command in your Linux-based system. There are lots of commands that help you monitor your system, as an example there is PS, but the different here is that PS is for non-interactive monitoring. # ⚓ How_To_Install_ownCloud_on_Linux_Mint_20_–_idroot⠀⇛ In this tutorial, we will show you how to install ownCloud on Linux Mint 20. For those of you who didn’t know, ownCloud is an open-source, self- hosted file sync and file share platform, similar to Dropbox, Microsoft OneDrive, and Google Drive. It works with various database management systems such as MySQL, PostgreSQL, or MariaDB. It maintains the synchronization with all the computers either it is a window-based or Linux-based operating system. This article assumes you have at least basic knowledge of Linux, know how to use the shell, and most importantly, you host your site on your own VPS. The installation is quite simple and assumes you are running in the root account, if not you may need to add ‘sudo‘ to the commands to get root privileges. I will show you through the step-by- step installation of ownCloud self-hosted file sync on a Linux Mint 20 (Ulyana). # ⚓ How_to_fix_broken_video⠀⇛ I decided to write this tutorial in the first- person, so as to more easily relate my personal experiences with video setup. All of my computers, for the last several years, have been all-Intel GPUs (Graphical Processing Units, that is, the video chip). However, just recently I acquired a Nvidia GeForce 210 (GT218 GPU) video card, and that’s when I discovered how much “fun” it is to get Nvidia cards to work! Here is a blog post about that video card: # ⚓ Use_External_Labels_with_Prometheus_Alerts⠀⇛ I’ve recently deployed the second Kubernetes cluster into the homelab environment, and realised that if I send alerts to the same Slack channel, I can’t tell which environment the alert somes from. I therefore need a way to identify the cluster that fires the alerts, ideally getting the cluster name passed to Alertmanager. # ⚓ 4_Ways_to_Check_MySQL_or_MariaDB_version_on_Linux_–_Linux Shout⠀⇛ This tutorial will let you know the key commands or ways we can use to check the MySQL or MariaDB Database server version running on Linux operating systems such as Debian, Ubuntu, CentOS, Rocky Linux, AlmaLinux, and more. If you have already done the installation of MySQL or MariaDB server on your Linux. Then now you probably have a question about how to check which version you are actually using? Also, MySQL is one of the popular and most common database servers using around the world to store data. However, don’t be confused between MySQL and MariaDB because the latter one is the fork of MySQL, nothing more than that. Hence, the commands used for Oracle MySQL will also be applicable for MariaDB. o § Games⠀➾ # ⚓ An_Interview_With_GDKChan,_Creator_of_Ryujinx⠀⇛ I’m blown away by how far Nintendo Switch emulation has come in just the past few years. To me, it’s just as mind-blowing as when Valve rolled their first Proton release to the public. Linux gamers can not only play most of their favorite Windows games through Proton, but they can also play their favorite Switch games with higher frame rates and resolutions, thanks to emulation. In both cases, the experience is nearly flawless, thanks to Valve/ CodeWeaver’s contributions to Wine, and the (mostly) voluntary, rigorous work programmers put in to their emulation projects to ensure a smooth, painless experience. I enjoy the Ryujinx emulator in particular, so I wanted to sit down and chat with gdkchan, the primary heart and soul behind the project (not to discredit the several other developers who are working on this as well). gdkchan went above and beyond providing the basic answer behind both ekianjo’s questions and my own. # ⚓ Apple_Will_Support_the_Future_Success_of_Blender_3D Software [Ed: Rather silly and promotional headline as in practice this money buys them control]⠀⇛ Apple has become a patron member of the Blender Development Fund, supporting the work of the Blender Foundation. Blender is a free and open source 3D computer graphics software used for creating animated films, visual effects, art, motion graphics, and computer games. It is available for free on Windows, Linux, and macOS. # ⚓ Blender_3D_tool_now_supported_by_Apple⠀⇛ If you had any doubt of the long-term value of learning how to sculpt in 3D with Blender, doubt no more. The Blender Foundation just announced that Apple joined their Blender Development Fund as “a Patron Member” to support development of the software for the foreseeable future. This is GOOD news for Blender, no matter how you slice it. # ⚓ How_I_use_open_source_to_play_RPGs⠀⇛ I play a lot of tabletop role-playing games (RPGs), in terms of both frequency and variety. Generally, I prefer playing RPGs in person with friends, but over the past two years, I’ve been playing online. At first, I wasn’t sure how to run a long-term game online. I knew there were a lot of tools out there to make it possible, but none of them interested me until I discovered the world of open source online tabletop gaming. With a small collection of open source applications, I’ve been able to run all my games exclusively on open source. o § Distributions⠀➾ # ⚓ Why_Is_Linux_Popular_for_Machine_Learning?_Top Distributions_To_Use⠀⇛ Linux is becoming the go-to operating system for machine learning and artificial intelligence processes. The Linux Foundation reports that the LF AI, the foundation’s AI initiative, “has been growing at the rate of one new project per month”. Moreover, they consider that the future of open source lies in its applications of the AI ecosystem and data communities. If you are wondering if you should use Linux for your new Machine Learning project, this post is for you. We’ll explore Linux use cases for AI and Machine Learning projects and the most popular distributions. # § Reviews⠀➾ # ⚓ New_Atari_VCS_Review:_Retro_Tech_Meets_Geek_Chic⠀⇛ Among other things, the year 1977 marked the beginning of (in my humble opinion) the two greatest entertainment franchises: Star Wars and Atari. Needless to say, the former is alive and well. And until recently, the latter has lived on through the sheer tenacity of its legendary gaming heritage. Now, three years after its hugely successful Indiegogo campaign, Atari at long last quenched retro gaming fans’ thirst by finally releasing its brand-new console. Officially known as the VCS 800, this truly multifunctional hybrid gaming, entertainment and computing device is an amazing time machine to both the past and future. # § IBM/Red Hat/Fedora⠀➾ # ⚓ AlmaLinux_OS_Foundation_Names_New_Chair,_Founder Steps_Aside_to_Increase_Independence_of_Community_Owned and_Governed_CentOS_Alternative_|_Business_Wire⠀⇛ The AlmaLinux OS Foundation, stewards of the 100% community-owned and governed enterprise- grade Linux distribution, announced today that benny Vasquez will take over as chair of its governing board of directors replacing Igor Seletskiy of CloudLinux, who steps down from board membership. # ⚓ Thoroughly_Modern:_Talking_IBM_i_System_Management With_Abacus [Ed: IBM-sponsored fake 'journalism' about itself; how long can this marketing budget last?]⠀⇛ If you want the members of your IT department to focus on the core applications that define, run, and improve your business, and they also have to manage your systems, and you have limited budgets to do it all, you have to learn to let go of something. There are only so many hours in a day, only so many days in a year, and only so many people to do the work. Something has to give, and you have to keep what brings the real value. # ⚓ The_Shape_Of_The_IBM_To_Come [Ed: IBM-sponsored Timothy Prickett Morgan on state of IBM]⠀⇛ Big Blue is getting ready to spin off its managed services businesses, which represents about a third of its revenue stream and a big chunk of its employee base, into the separate company called Kyndryl and hopes to have this task done by the end of the year. Last week, IBM’s top brass had a virtual meeting with Wall Street to host its Investor Day, and IBM’s chief executive officer, Arvind Krishna, and the rest of the team unveiled a new segment and financial reporting structure that will be put into effect once the Kyndryl spinout is done. At that time, IBM will no doubt do its financial reporting for the quarter and backcast the new way of talking about product lines and money into prior quarters, and if history is any guide, it will do this for all of 2020 as well as whatever bits of 2021 are done at the time. And everybody, including us, will set about to recast our IBM revenue models. # ⚓ IBM’s_former_Chinese_Power_Systems_partner_sues_for theft_of_customer_data_•_The_Register⠀⇛ IBM has been sued for trade secret misappropriation by a Chinese company called Beijing Neu Cloud Oriental System Technology Co., Ltd, over “fraudulent and unfair business practices” that allegedly saw Big Blue encourage use of Neu Cloud’s customer information by staffers at server-maker Inspur. According to Neu Cloud’s complaint [PDF], its parent company TeamSun had been a distributor and implementor of IBM POWER technology since 2010. # ⚓ IBM_still_spending_its_way_to_cloud_relevance_with BoxBoat_buy⠀⇛ IBM has splashed yet more cash on cloud after confirming it plans to acquire BoxBoat Technologies – the Maryland-based DevOps consultancy and enterprise Kubernetes certified service provider. # § Devuan Family⠀➾ # ⚓ Systemd-free_Linux_Distro_Devuan_Releases_Version_4.0 Based_on_Debian_11⠀⇛ The developers of Devuan GNU+Linux have recently released the latest stable version – Devuan “Chimaera” 4.0. For those who aren’t aware, Devuan is a fork of Debian that doesn’t use systemd but init as its software suite. Let’s take a look at what this new release has to offer. [...] The installer is completely based on Debian 11’s installer. Thus, all procedures described in Debian’s wiki will apply here too. You can now disable task-speech accessibility if you intend to install a console-only system and avoid unnecessary dependencies. Lastly, you can successfully install a desktop environment without installing PulseAudio. The GUI or console installation sessions will use hardware or software speech synthesis instead. This also includes using a refreshable braille display. # § Canonical/Ubuntu Family⠀➾ # ⚓ Xubuntu_21.10_Released⠀⇛ Xubuntu 21.10 “Impish Indri” was released on 10/14. It features some new applications and improved keyboard shortcuts. I also expand on the three different Xubuntu versions. o § Devices/Embedded⠀➾ # § Mobile Systems/Mobile Applications⠀➾ # ⚓ PinePhone_Pro_$399_Linux_Smartphone_Launches⠀⇛ Last year, Pine64 gave us a smartphone running Linux rather than iOS or Android called the PinePhone. Now its successor has launched and a Developer Edition is available to pre-order. The PinePhone Pro costs $399 plus whatever shipping and import taxes end up being applied for your country of residence. What you’ll receive is a phone sporting a 6-inch (1,440-by-720) in-cell IPS display protected by Gorilla Glass 4. It’s powered by a six- core Rockchip RK3399S 64bit SoC running at 1.5GHz and a four-core ARM Mali T860 GPU running at 500MHz. That’s complimented by 4GB of LPDDR4 RAM and 128GB of eMMC flash storage. Performance is rated to be on a par with mid-range Andoid handsets. # ⚓ Weekly_poll_results:_Android_12_loved_for_its_looks more_than_its_features_–_comments⠀⇛ # ⚓ [Opinion]_Android_12_‘Pixel_exclusive’_features should_roll_out_outside_U.S.⠀⇛ # ⚓ Zidoo_M6_preview_with_Android_11_–_CNX_Software⠀⇛ # ⚓ How_to_record_screen_on_your_Android_phone⠀⇛ # ⚓ How_to_Sideload_Apps_on_Android_TV:_APK_Install_and ADB_Sideload_methods_explained⠀⇛ # ⚓ Android_games:_the_list_of_the_10_most_downloaded_of the_week_–_How_smart_Technology_changing_lives⠀⇛ # ⚓ The_Best_Zombie_Games_for_Android_2021_–_Infectonator 3,_Zombicide,_Into_the_Dead_2_and_More_–_Droid_Gamers⠀⇛ # ⚓ 10_new_(and_1_WTF)_Android_games_from_the_last_week: The_best,_worst,_and_everything_in_between_(10/10/21_- 10/17/21)⠀⇛ # ⚓ So_you_can_block_the_internet_connection_of_any application_on_Android_–_How_smart_Technology_changing lives⠀⇛ o § Free, Libre, and Open Source Software⠀➾ # ⚓ Blender_2.93.5⠀⇛ Blender is the free and open source 3D creation suite. It supports the entirety of the 3D pipeline—modeling, rigging, animation, simulation, rendering, compositing and motion tracking, even video editing and game creation. Through it’s open architecture, Blender provides cross-platform interoperability, extensibility, an incredibly small footprint, and a tightly integrated workflow. Blender is one of the most popular Open Source 3D graphics application in the world. # ⚓ Ventoy_1.0.54⠀⇛ Ventoy is an open source tool to create bootable USB drive for ISO/WIM/IMG/VHD(x)/EFI files. With Ventoy, you don’t need to format the disk over and over, you just need to copy the ISO/WIM/IMG/VHD (x)EFI files to the USB drive and boot them directly. You can copy many files at a time and ventoy will give you a boot menu to select them. Both Legacy BIOS and UEFI are supported in the same way. Most type of OS supported (Windows/WinPE/ Linux/Unix/Vmware/Xen…) # ⚓ Open-source_software:_Nine_out_of_10_companies_use_it,_but how_much_is_it_really_worth?_|_ZDNet⠀⇛ The report marks the third and final chapter in OpenUK’s investigation into the impact of open- source software on the UK economy as detailed in its State of Open: The UK 2021 paper. The organization is trying to encourage the adoption of open-source software in the energy sector ahead of the 2021 United Nations Climate Change Conference (COP26), which will be held in Glasgow, Scotland. # ⚓ Nextcloud,_iXsystems_tie_up_to_offer_Hub_features_on TrueNAS_systems⠀⇛ Open-source file syncing and sharing software company Nextcloud has announced a partnership with open storage systems developer iXsystems to bring all Nextcloud Hub features to TrueNAS systems. iXsystems sells high-availability storage with servers running open source solutions like FreeNAS, FreeBSD, OpenZFS, and TrueNAS, all based on the ZFS filesystem. In a statement, Nextcloud founder and chief executive Frank Karlitschek said: “As self-funded companies that share a strong open-source philosophy, Nextcloud and TrueNAS are natural partners. “Our mutual customers will benefit from an open and flexible platform with strong enterprise support capable of delivering efficient collaboration at any scale.” # ⚓ Nextcloud_and_TrueNAS_Deliver_Productivity_and_Privacy⠀⇛ Nextcloud GmbH, the company behind the worlds’ most deployed on-premises content collaboration platform, and iXsystems inc., developers of the industry’s number one Open Storage platform, announce a partnership to bring the full suite of Nextcloud Hub features to TrueNAS. Tens of thousands of TrueNAS systems already run Nextcloud and availability of a supported, well integrated offering will give larger organizations more confidence to deploy. # § Web Browsers⠀➾ # § Chromium⠀➾ # ⚓ Is_a_Chromebox_right_for_you?_How_to_try Chromium_OS_on_a_Raspberry_Pi_to_find_out.⠀⇛ Given that I can’t still for long, I tend not to use stationary computers such as Chromeboxes. Still, these small desktop machines offer the same Chrome OS experience as their mobile counterparts: Chromebooks and Chrome OS tablets. And yet some people aren’t sure about the Chrome OS on a desktop device. How can you answer the question of is a Chromebox right for you without actually spending hundreds of dollars? There’s an inexpensive way to try Chromium OS on a Raspberry Pi to find out. # ⚓ Chrome_OS_94_is_the_last_big_update_before_we skip_all_the_way_to_96⠀⇛ Chrome OS 94 has started rolling out to stable. I know, it’s unusual for an update to roll out on a Thursday, but that’s probably because of the upcoming change in Google’s release timeline: There won’t be a Chrome OS 95. Highlighted changes in today’s release should include better voices when using select-to-speak, document scanning support in the camera app, and some tweaks to Chrome OS’s virtual desks, plus a few smaller tweaks/flags developers might enjoy. # § FSF⠀➾ # ⚓ Free_Software_Foundation_claims_Windows_11_will reduce_user_freedom⠀⇛ The Free Software Foundation has described Windows 11, the new avatar of Microsoft’s desktop operating system that was launched on 6 October, as taking “important steps in the wrong direction when it comes to user freedom”. In a blog post, the organisation’s campaigns manager Greg Farough said Windows 11 did nothing to mitigate “Windows’ long history of depriving users of freedom and digital autonomy”. The FSF was set up by former MIT employee Richard Stallman to try and develop an operating system and other utilities that would not impinge on the freedom of users. The word “free” refers not to the price, but the ability to change and share the software as one wishes. Farough said Microsoft was “intentionally choosing to create an unjust power structure, in which a developer knowingly keeps users powerless and dependent by withholding information”. # § Programming/Development⠀➾ # ⚓ The_Eclipse_Foundation_Releases_Results_from_the First⠀⇛ The Eclipse Foundation, one of the world’s largest open source foundations, along with the Eclipse Cloud DevTools Working Group, today announced the availability of the first annual Cloud Developer Survey Report. The report was commissioned by the Eclipse Cloud DevTools Working Group and is the result of more than 300 interviews conducted by an independent analyst organization. Participants consisted of software developers, as well as DevOps, IT and development leadership. Primary survey objectives were to gain a better understanding of cloud-based developer trends by identifying the requirements, priorities, and challenges faced by organizations that deploy and use cloud-based development solutions, including those based on open source technologies. # ⚓ OpenCV_4.5.4_Released,_Look_For_Updated_Features_And Fixes⠀⇛ * § Leftovers⠀➾ o ⚓ Rudy_Horowitz_on_the_transitory_nature_of_what_matters_in_life_– The_Bowdoin_Orient⠀⇛ Rudy noted that he is most proud of his contributions to society, namely through his architectural career designing buildings and facilities. His designs include American Airlines Admirals Club lounges at LaGuardia and JFK and medical facilities for both New York University and the State of New York. In the early 1980s, he created an application to AutoCAD, a design and drafting design software, called GEOCAD. The application moved architectural drafting from the drawing board to the computer, while maintaining the appearance of hand-drawn sketches. GEOCAD was marketed throughout the USA. o § Hardware⠀➾ # ⚓ China_stumbles_on_the_long_march_to_close_the_technology gap_–_Nikkei_Asia⠀⇛ Another challenge for China’s tech industry is policy uncertainty. For example, both Phytium and Huawei Technologies’ chip design unit HiSilicon’s processors are based on chip architecture licenses they had obtained from British chip design company ARM. Even if Beijing can block ARM’s sale to Nvidia to prevent ARM from becoming an American company, it remains uncertain whether chips based on ARM designs can be 100% secure for China. # ⚓ Brother_printers_may_not_work_in_Windows_11_if_connected via_USB [Ed: Even Lawrence Abram, a fervent Microsoft propagandist, seems to realise Vista 11 is a trainwreck like Vista (hardware won't work)]⠀⇛ Brother is warning that many of their printers may no longer work or display errors when using a USB connection in Windows 11. One help article states that updating to Windows 11 could prevent the operating system from detecting your Brother machine when connected via USB, changing printer settings, or connecting more than one printer via USB. o § Health/Nutrition⠀➾ # ⚓ Boosters_Are_Complicating_Efforts_to_Persuade_the Unvaccinated_to_Get_Shots⠀⇛ o § Integrity/Availability⠀➾ # ⚓ Enfield_Dispatch_|_Hospital_appointments_lost_as_NHS_trust hit_by_IT_problems⠀⇛ Patients across Barnet, Enfield and Camden have been affected by lost appointments caused by IT failures at a hospital trust. The Local Democracy Reporting Service (LDRS) understands that Royal Free London NHS Foundation Trust experienced a string of problems after upgrading its electronic patient record (EPR) system and widening its use. Lists of appointments for a number of clinics are understood to have been lost as a result of the transfer last week, causing delays to clinical activity across the NHS trust’s services in North London. There were also difficulties reported with booking in new appointments and accessing patient records. As well as The Royal Free Hospital in Camden, the NHS trust runs a range of other hospitals and clinics in North London, including Barnet Hospital and Edgware Community Hospital in Barnet, and Chase Farm Hospital in Enfield. The trust started upgrading and expanding its EPR system, which is designed to replace paper records, at the beginning of October. # § Microsoft Bailouts From the US Army Budget⠀➾ # ⚓ US_Army_slows_~$20bn_project_to_put_Microsoft’s HoloLens_VR_headsets_into_the_field [Ed: President Biden has already bailed out Microsoft to the tune of 22 billion dollars for something that's basically dead; Microsoft sacked all staff of HoloLens; this is worse than grifting as it's akin to Microsoft theft from taxpayers (Trump did the same with "JEDI"; latest below)]⠀⇛ The US Army has delayed a massive rollout of Microsoft’s HoloLens virtual reality headsets. # ⚓ [Older]_Looks_like_NSA_now_stands_for_Not_Selecting Azure:_US_spy_agency_picks_AWS_over_Microsoft⠀⇛ # ⚓ Supreme_Court_declines_to_hear_Oracle’s_challenge_to JEDI_•_The_Register⠀⇛ The US Supreme Court has brushed off Oracle’s complaint that it wasn’t awarded the Pentagon’s $10bn winner-takes-all Joint Enterprise Defense Infrastructure (JEDI) cloud contract. [...] Still, Big Red refused to give up. It appealed its case all the way to the Supreme Court. The US government told the justices the case ought to be rejected given that Oracle wouldn’t have won the contract anyway. The ongoing legal spats, however, were made pointless when the Pentagon scrapped JEDI in July. Despite this, Oracle still thought the case was worth pursuing considering the DoD had replaced the cloud project with the new “Joint Warfighter Cloud Capability (JWCC)” contract. The JWCC deal has been limited to AWS and Microsoft only. We note that Oracle says it does more than $28bn a year in cloud revenues. # § Pseudo-Open Source⠀➾ # § Privatisation/Privateering⠀➾ # § Linux Foundation⠀➾ # ⚓ OpenSSF_adds_$10M_to_software supply_chain_security_effort⠀⇛ The Linux Foundation’s effort to improve software supply chain security standards got an infusion of funding this week from major IT vendors and other corporations, as the tech industry remains mired in a cybersecurity crisis. # ⚓ New_Relic_I/O_Aims_to_Simplify Instrumentation_–_DevOps.com⠀⇛ New Relic today at the KubeCon + CloudNativeCon North America conference launched a New Relic Instant Observability (I/O) initiative through which it is making available open source tools to simplify application instrumentation. # ⚓ TriggerMesh_Open_Source_Integration Platform_for_Kubernetes_Now Available⠀⇛ # ⚓ TriggerMesh_launches_Integration Platform_for_Kubernetes_–_Neowin⠀⇛ TriggerMesh has launched its Integration Platform as an open-source project that is available under the Apache Software License 2.0. The free project enables DevOps practitioners and cloud operators to deploy integrations as code. This, as compared to archetypal integration platforms-as-a- service (IPAAS) solutions, increases time to value and enhances flexibility. # ⚓ How_DevSecOps_Enabled_Kubernetes Service_Ownership [Ed: Technology swept away by a sea of worthless buzzwords and hype waves]⠀⇛ While it’s true software development is now among the most important industries in the country—if not the world—it is still undergoing its own transformation—especially with regards to DevOps, security and the emerging role of Kubernetes service ownership. Years ago, tasks were divided based on where they fell in the system life cycle: One team wrote code, another deployed to production and yet another monitored and maintained the service. # ⚓ At_in-person_KubeCon,_encouraging signs_of_cloud-native_computing maturity⠀⇛ The Cloud Native Computing Foundation’s flagship KubeCon/CloudNativeCon conference returned triumphantly to in-person mode this week in Los Angeles – albeit with the obligatory virtual component. But it was the opportunity to return to live human interactions without the Zoom “Brady Bunch” boxes that was unquestionably the highlight of the show. The numbers in attendance at the Los Angeles Convention Center were markedly lower than previous KubeCons, and the mix was heavily skewed toward vendors. Nevertheless, the general feeling was that we had to get past the first return- to-normal conference in order to move on to upcoming ones in 2022. # ⚓ Cloud_Native_Computing_Foundation Announces_2021_Community_Awards Winners_–_Benzinga⠀⇛ # ⚓ Cloud_Native_Computing_Foundation Welcomes_American_Express_as_Gold Member⠀⇛ # ⚓ LF_Edge_Welcomes_New_Premier Members_F5,_VMware_as_it_matures_into a_Framework_for_Real-World_Edge, Telco,_and_IoT_Solutions_|_Benzinga⠀⇛ LF Edge, an umbrella organization within the Linux Foundation that creates an open, interoperable framework for edge computing independent of hardware, silicon, cloud, or operating system, today announced the project’s maturity as a deployable framework with expanded open source solutions to meet real- world demands. Industry leaders F5 and VMware have joined the community as Premier members as LF Edge maturation includes new projects, general members, project releases and blueprints that enable deployable solutions. # § Security⠀➾ # ⚓ Twitch_suffers_data_breach_amid_demand_for_a less_toxic_environment⠀⇛ Twitch, the video game live-streaming platform owned by Amazon.com Inc. suffered a data breach on Oct. 6, with more than 120 gigabytes of sensitive data leaked on 4Chan, an online chat forum. The user that leaked the information claimed to have the company’s source code, the foundation for software and program creation. If leaked, it can open the possibility for other hacks. # ⚓ Four_zero-day_exploits_add_urgency_to_October’s Patch_Tuesday [Ed: Misses the point that Microsoft_perpetually_leaves_its_products_exposed through_back_doors]⠀⇛ October brings four zero-day exploits and 74 updates to the Windows ecosystem, including a hard-to-test kernel update (CVE-2021-40449) that requires immediate attention and an Exchange Server update that requires technical skill and due diligence (and a reboot). The testing profile for the October Patch Tuesday covers Windows error handling, AppX, Hyper-V and Microsoft Word. We recommend a Patch Now schedule for Windows and then staging the remaining patch groups according to your normal release pattern. # ⚓ US_Cybersecurity_At_A_‘Kindergarten_Level’ Compared_To_China,_Former_Pentagon_Official_Says [Ed: Security theatre, "Smart" things, and back doors in everything are the opposite of security]⠀⇛ A former Department of Defense official said he left the Pentagon in protest over the United States’ inability to compete with China technologically. # ⚓ LoginID_and_Algorand_partner_for_FIDO-certified biometric_authentication [Ed: FIDO_is_‘security theatre’, but we see who’s pushing it]⠀⇛ LoginID and the Algorand Foundation have entered a new biometrics-focused partnership. LoginID will research and prototype changes to their application programming interfaces (APIs) and software development kits (SDKs) to facilitate Algorand developers’ integration of FIDO-certified biometric authentication solutions. # § Fear, Uncertainty, Doubt/Fear-mongering/ Dramatisation⠀➾ # ⚓ FontOnLake:_“Sophisticated”_malware targets_Linux_systems [Ed: ESET FUD as marketing]⠀⇛ Security researchers have uncovered new malware dubbed “FontOnLake” that is being used in a new campaign that targets Linux systems. Present since at least May 2020, according to samples uploaded to VirusTotal, the malware stands out for its ability to maintain persistence on the infected system and for the sophistication of its design. # ⚓ Beware_–_a_brand_new_malware_family_is infecting_Linux_systems_|_TechRadar⠀⇛ There’s a new malware family in town – and one that attacks Linux systems by concealing itself in legitimate binaries to deliver several backdoor and rootkits. Dubbed FontOnLake, by cybersecurity researchers at ESET, samples of the malware date as far back as May 2020. According to the researchers, the malware makes use of several carefully crafted modules that not just collect credentials, but also give remote access to the threat actors. o § Environment⠀➾ # ⚓ Plastic_additives_found_in_52%_of_seabirds_around_the globe:_study⠀⇛ More than half the world’s seabirds have accumulated plastic chemical components in their bodies, a recent study by an international team of researchers showed, highlighting a worrying trend regarding the impact of plastic pollution on marine fauna. o § Finance⠀➾ # ⚓ COVID-19_and_Central_Bank_Digital_Slavery_with_John_Titus⠀⇛ In this episode, Whitney is joined by John Titus of BestEvidence to discuss how Central Banks and Wall Street Banks have used the COVID-19 crisis to launch a “silent takeover” of the wealth and assets of regular Americans and what these banks plan for the post-COVID era, from CBDCs to “green” finance. o § Misinformation/Disinformation⠀➾ # ⚓ [Older]_Twitter_offers_to_cough_up_80_days_of_annual_sales to_settle_‘false’_user_count_lawsuit⠀⇛ Twitter has offered to pay $809.5m to settle a class-action lawsuit filed in 2016 accusing it of misleading investors by falsely inflating its number of monthly active users. “The proposed settlement resolves all claims asserted against Twitter and the other named defendants without any admission, concession or finding of any fault, liability or wrongdoing by the Company or any defendant,” the web biz stated in an announcement. “Twitter and the individual defendants continue to deny any wrongdoing or any other improper actions.” o § Censorship/Free Speech⠀➾ # ⚓ Facebook’s_Secret_Blacklist_of_“Dangerous”_Groups_and People⠀⇛ Experts say the public deserves to see the list, a clear embodiment of U.S. foreign policy priorities that could disproportionately censor marginalized groups. o § Digital Restrictions (DRM)⠀➾ # ⚓ Call_of_Duty_Warzone:_Why_Ricochet_Anti-Cheat_Has_Fans Worried [Ed: Linux rootkits]⠀⇛ Why is Kernel Level Anti-Cheat Software a Security Concern? Well, to be clear, it might be more accurate to say that kernel-level anti-cheat software is a potential security concern. Anytime you grant any outside element that level of access to something that’s important to you, you’re potentially exposing yourself to an increased level of risk. However, it doesn’t mean that you’re absolutely going to have a security problem. o § Monopolies⠀➾ # ⚓ Discussion_with_Isaac_Funderburk_about_College,_Careers, IP⠀⇛ We talked about college and what a libertarians goals should be, activism, careers, publishing, and economic and libertarian issues such as intellectual property. # ⚓ ENDRA_Life_Sciences_Further_Strengthens_TAEUS®_System Intellectual_Property_Protection_with_Issuance_of_21st_U.S. Patent [Ed: Conflating patents with fiction that they like to call "IP"]⠀⇛ # ⚓ GI_owners_toast_success_as_evocation_threshold_‘lowered’ [Ed: "Owners" is the wrong term/word, but when your paymaster is called after a lie ("IP") we come to expect narrative being distorted for sponsors]⠀⇛ A ruling involving champagne has further strengthened the power of GI and PDO owners – but do their broad rights now shut out fair competition? # § Patents⠀➾ # ⚓ Do_Reference_Signs_Clarify_Or_Limit_The_Scope_Of Patent_Claims_In_India? [Ed: These litigation fanatics in India should very well know that this agenda works against_the_Indian_economy, but they don’t care]⠀⇛ Reference signs are used to improve the intelligibility of claims. Sometimes also known as “reference numerals”, they help understand claims in light of the specification and drawings on record. If a patent application contains drawings, the claims can be clarified by establishing a connection between the features mentioned in the claims, corresponding to reference signs in the drawings. This is why one often finds reference signs or numerals placed in parentheses after features mentioned in claims. However, there is some cloud over whether adding reference signs in the claims limit the scope of the claims themselves in India. More specifically, does the insertion of reference signs, which denotes a particular feature in the claims, limit that feature to all its embodiments as shown in the accompanying drawings? # ⚓ Lawsuit_accuses_Rhombus_Systems_of_patent infringement⠀⇛ # ⚓ U.K._and_EU_Nations_Block_COVID_Vaccine_Patent_Waiver at_World_Trade_Organization⠀⇛ A meeting of the World Trade Organization’s intellectual property council ended Thursday without action on a proposal to suspend patent rights on COVID-19 vaccines. The United Kingdom and some wealthy European Union nations, led by Germany, continue to oppose a patent waiver, which was first proposed over a year ago by India and South Africa and backed by over 100 WTO member nations. Since then, the world has recorded over 3.8 million COVID-19 deaths. # ⚓ Judge_Vyskocil_Allows_Amino_Acid_Case_to_Go_Forward Despite_“Group_Pleading”_and_“Inconsistent_Allegations” of_Infringement_|_Patterson_Belknap_Webb_&_Tyler_LLP_– JDSupra⠀⇛ On September 27, 2021, U.S. District Court Judge Mary Kay Vyskocil held that plaintiffs Ajinomoto Co., Inc. and Ajinomoto Heartland Inc. had alleged plausible claims for relief for infringement under 35 U.S.C. § 271(g), for inducement of infringement, and for willful infringement, despite the complaint’s purported “group pleading” and “inconsistent allegations” of infringement by the three related defendant corporations. [...] The defendants also moved to dismiss the claims asserted against all three defendants for inducement of infringement and willful infringement. # ⚓ Federal_Circuit_Rejects_Arguments_of_Bias_at_the_PTAB [Ed: Patent litigation lawyers and their sponsored fronts (like Dennis Crouch) eat their hearts because fake patents continue to perish and high courts are fine with it]⠀⇛ In a 2-1 decision, the Federal Circuit has rejected Mobility’s argument that the PTAB Judges have an improper financial interest in instituting AIA proceedings. The baseline here is that the patentee presented evidence that Board members who institute more AIA proceedings receive better performance reviews and more bonus money. A higher institution rate also ensures job stability for administrative patent judges. The argument then is that those incentives to institute constitute a due process violation under cases such as Tumey v. Ohio, 273 U.S. 510 (1927) and Ward v. Monroeville, 409 U.S. 57, 60 (1972). To be clear, none of the USPTO rules or practices provide expressly give more money or quota-points for initiating IPR. However, the only way to receive points for judging an IPR is to first institute the IPR. And, most of the quota-points are accumulated post- institution. Likewise, the PTO receives substantial fees for institution. # ⚓ First_four_OPPO_v._Nokia_countersuits_over_5G_patents have_been_docketed_in_Mannheim,_Munich,_and_Hamburg [Ed: Germany is trying to become just another district in Texas, attracting patent litigation for no productive gains, just lawyers' time]⠀⇛ About a month ago, Gizmochina reported on OPPO having filed countersuits over 5G patents against Nokia in China and an unspecified number of European jurisdictions. This is what I expected to happen, especially after I became aware of the litigation prowess the Chinese smartphone maker demonstrated in its recently-settled dispute with Sharp. OPPO is to be reckoned with, and as OPPOsed to letting others push it around, it fights back. I don’t know whether OPPO brought any patent infringement counteractions against Sharp, but I have been able to find out about a Dutch declaratory judgment proceeding targeting Sharp’s EP’181. # ⚓ In_re_ESIP:_No_Arthex_challenges_in_closed_case [Ed: The patent profiteers that fund this blog will never be happy with patent sanity, only maximalism (endlessly)]⠀⇛ This is a short nonprecedential decision in a petition for a writ of mandamus that was issued today but that isn’t on the Federal Circuit’s website. (I don’t see why the Federal Circuit doesn’t just put all dispositive orders on its website; it already puts Rule 36’s and many orders in petitions for writs of mandamus on the site.) The petitioner, ESIP, was the patent owner of a patent that was the subject of an inter partes review proceeding at the PTO. The PTO initiated review over ESIP’s objection, and subsequently concluded that the claims were obvious. ESIP appealed. The Federal Circuit affirmed the obviousness determination and held that it was barred from reviewing the institution decision because that decision is nonreviewable under 35 U.S.C. 314(d). The Supreme Court subsequently denied cert and the PTO issued a certificate of cancellation. # ⚓ Arecor_Therapeutics_says_polysaccharide_vaccine patent_upheld_by_European_Patent_Office [Ed: The EPO’s kangaroo_courts_cannot_exercise_freedom_to_judge properly_though]⠀⇛ # ⚓ Arecor_Therapeutics_Shares_Jump_as_Vaccine_Patent_Is Upheld_by_European_Patent_Office⠀⇛ # ⚓ Case:_Patents/Procedure_(Fed._Cir.) [Ed: CAFC on PTAB crushing fake patents for crowd-funded efforts by their victims]⠀⇛ The Federal Circuit remanded to the Patent Trial and Appeal Board to determine whether to grant rehearing of Unified Patents LLC’s challenge to Mobility Workx LLC’s patent for methods for proactive allocation of wireless resources, in light of U.S. v. Anthrex Inc., 141 S. Ct. 1970 (2021), finding that administrative patent judges were unconstitutionally appointed. The board determined that certain patent claims were invalid as obvious, and on appeal, Mobility raised constitutional challenges to the USPTO’s structure. The Federal Circuit remanded to the board for the limited purpose of allowing Mobility the opportunity to request director-rehearing of the final written … # ⚓ Can_Artificial_Intelligence_be_an_Inventor?_Different Countries_Reach_Different_Conclusions⠀⇛ # ⚓ Can_Artificial_Intelligence_Be_An_Inventor?_Different Countries_Reach_Different_Conclusion [Ed: Can your pet cat get a patent? Only two insignificant patent office might say OK... but the law firms make a mountain out of this molehill in pursuit of patent maximalist agenda]⠀⇛ Artificial intelligence (“AI”) technology and its applications across various sectors of the economy are growing exponentially. As AI advances, one of the important, practical challenges that courts, governments and regulators face is whether current intellectual property legal frameworks are equipped to address a question that is already upon us: Can an AI be granted a patent? # ⚓ Clearmind_Medicine_Files_Provisional_Patent Application_Related_to_Methods_of_Drug-Assisted Psychotherapy [Ed: Too much emphasis on patents and not patients]⠀⇛ # ⚓ One_more_UPC_Signatory_State_to_ratify_the_PAP Protocol [Ed: More fake news about UPC; they need the UK and cannot have the UK. UPCA is dead, but they cheat, lie, bribe the media too sometimes.]⠀⇛ # ⚓ IPBC_Europe_in_Dublin_brought_patent_value_issues_to the_fore⠀⇛ Put another way, the IBM patent portfolio suddenly became a whole lot more valuable when Marshall Phelps took control of it in the early 1990s. # ⚓ Japanese_patent_licensing_firm_IP_Bridge_is_suing Ford_Motor_Company_in_Munich_over_former_Panasonic SEP⠀⇛ On the first of the month, L2 Mobile Technologies LLC, an entity affiliated with non-practicing entity Longhorn IP (named after the official state large mammal of its home state of Texas), sued Ford Motor Company over patent infringement in the District of Delaware (Courtlistener docket overview). Ford is not the most willing licensee among car makers. With Nokia, it once entered into a short-term license agreement that was more of a standstill agreement, and provided material to Daimler for use in its (meanwhile settled) dispute with the Finnish wireless company. Ford may prefer to lock horns with Longhorn over signing up for a license quickly, but whether that is an economically wise decision is in the eye of the beholder. # ⚓ Strategic_move:_How_Quinn_Emanuel_and_Kirkland_became US_firm_success_stories_in_Europe [Ed: Mathieu Klos has turned from journalist into spammer. This isn’t journalism or reporting, it’s just marketing placement for litigation firms dressed up as “news”. What shame; JUVE_used_to_be_a_news_site. Also notice the UPC plug (lie) in the third paragraph (and below, reproduced). JUVE is dead to me… just_like_UPCA]⠀⇛ As the launch of the Unified Patent Court is once again within reach, the appetite among US law firms for European patent litigation business grows. In recent years, some US heavyweights have successfully established IP teams in Europe. Thanks to their excellent US clients, this list includes Jones Day, McDermott Will & Emery, WilmerHale and DLA Piper, among others. # ⚓ Munich’s_Long_Night_of_Museums:_Exploring_Art_at_the European_Patent_Office [Ed: Once again, as_before, con artists who hijacked the EPO, pretend to care about art]⠀⇛ For Munich’s Long Night of Museums on 16 October 2021, the EPO is showing the German version of a film about its high-calibre art collection for the first time. Throughout the evening, members of the public can also attend new outdoor art tours on the premises of the EPO, which is one of the main sponsors of this year’s epic event. The artworks covered in each 30-minute tour are to be specially illuminated for the occasion by the Munich video artist Raphael Kurig. [...] “For 40 years, the EPO art collection has reflected an impressive openness to new ideas and, at the same time, the diversity and richness of European culture. The EPO is very proud of its unique collection, which originated in Munich and continues to inspire staff and visitors to the Office today. As an international organisation with strong roots in Munich, interaction with the local community is important to us. The sculptures in our green spaces, including works by Max Bill, Eduardo Paolozzi, Steven Rand and Hansjörg Voth, contribute to the development of the urban landscape and invite Munich residents to get to know us better.” # ⚓ Launch_of_Search_Pilot_for_National_Offices [Ed: Deeply_corrupt_EPO still trying to ‘absorb’ patent offices that aren’t corrupt and infiltrated]⠀⇛ The EPO has recently launched on 13 October the pilot for the new Cooperation Search system, which will be used by over 100 examiners in 8 national offices over an initial period of six months. The pilot national offices of member states include the UK, France, Sweden, Czech Republic, Switzerland, Spain, Denmark and Austria, with other offices either testing or intending to join later. The tool is closely based on the EPO’s modern ANSERA search system, in use since 2016, and aims to eventually replace the current EPOQUENET system used by member states since 1991. # ⚓ Lithuanian_e-filing_becomes_first_national_patent application_to_be_made_using_new_Front_Office_software [Ed: EPO has brought up Lithuania again [1, 2]]⠀⇛ On 13th October 2021, a Lithuanian patent application became the first national filing to be made using new Front Office e-filing software. This is the result of intense collaboration between the EPO and several national patent offices including Lithuania, Spain and Greece, as part of the EPO’s IT Co- operation Programme. The initial Front Office service, launched today, supports the filing of national patent applications at a national office. The scope of the service will be incrementally extended to cover the filing of various requests and replies, EP validations, etc. The service will be hosted on each National Office’s own infrastructure and will be adapted to that office’s specific requirements. # § Software Patents⠀➾ # ⚓ Unified_seeking_additional_IEEE,_MPEG,_and_3GPP training_sets [Ed: Strange approach for tackling a software patents cartel around codecs (even in places where such patents lack actual validity/ legitimacy)]⠀⇛ Unified Patents is seeking to license and supplement existing training sets of patents found essential and nonessential to 3GPP (5G, LTE, V2X); IEEE / 802.11 / WiFi; and Video Codecs ( VVC / H.266 and AV1). The patents and applications should be reviewed by experts and mapped against the technical specifications. This would be a joint effort and collaboration to understand fundamental technologies and their corresponding patent landscape. If you are interested in participating please contact info@unifiedpatents.com. # ⚓ Smart_Path_Connections_patent_challenged⠀⇛ On October 11, 2021, Unified filed a petition for inter partes review (IPR) against U.S. Patent 7,551,599 owned and asserted by Smart Path Connections, LLC. The ‘599 patent generally relates to methods and systems for improved utilization of communications networks configured as layer-2 ring networks. The patent has been asserted against Juniper Networks and Adtran. # § Trademarks⠀➾ # ⚓ Ecuador_eased_border_enforcement_but_must_fix backlog:_lawyers [Ed: Yielding and wielding shameful propaganda against Ecuador by speaking to nobody but lawyers, i.e. those who fund this 'article']⠀⇛ A law enacted in August has relaxed enforcement rules and harshened penalties, but brands still face long waits for trademarks, say five Ecuadorian partners # ⚓ Battle_of_the_spiritual_and_holistic_therapists_over ‘Archangel_Alchemy’_trade_mark⠀⇛ Trade mark disputes with accompanying passing off claims are nothing new. But what happens when the public being considered is fairly niche and, as such, smaller than those that would arise in your ‘everyday’ trade mark cases? Well, such a case arose before the Intellectual Property Enterprise Court (IPEC) recently, in one of the most unique contexts to date. As succinctly and aptly described by HHJ Clarke in her opening paragraph: “This [was] a dispute between two spiritual and holistic therapists over use of the trade mark ‘ARCHANGEL ALCHEMY’ to sell metaphysical/ spiritual education and coaching courses which aim to connect participants with archangels”. [...] What was particularly interesting about this case was the quantification of the use of ARCHANGEL ALCHEMY with regards to Wenman’s general business. Ordinarily, the mark in question in such proceedings is the main mark that the parties use, as opposed to be a ‘subsidiary’ one. However, it does emphasise the importance of use of the mark beyond actual (or estimated) percentage use in the grand scheme of the business, such that Wenman had nonetheless demonstrated that she had accrued the necessary goodwill. In EU case law, a similar standard has been upheld. In Anheuser-Busch (C-96/09P), the CJEU noted that in order to be capable to prevent registration of a new sign, the sign relied on in opposition “must actually be used in a sufficiently significant manner in the course of trade”, with “account [to] be taken of the duration and intensity of the use of that sign as a distinctive element vis-à-vis its addressees, namely purchasers and consumers as well as suppliers and competitors. In that regard, the use made of the sign in advertising and commercial correspondence is of particular relevance.” This was in the context of an EU trade mark opposition, relying on Article 8(4) of Council Regulation (EC) No 40/94 – now Article 8(4) of EUTMR) – which also takes into account usages of such non-registered marks (though also requiring more than mere local significance). # § Copyrights⠀➾ # ⚓ Gaming_the_System:_Economic_incentives_are_preventing desperately-needed_game_archiving⠀⇛ For many years now, there has been an ongoing debate about the artistic merit of video games. As a form of media, should they be held in the same regard as movies, TV and music? In terms of archiving, at least, video games lag far behind these counterparts. Video games hit store shelves as soon as the technology for playing them began to be invented, and as a result, the hardware was constantly evolving. The Nintendo Entertainment System came out in the 1980s, with games loaded onto chips inside big plastic cartridges. Graphics became more advanced and cartridges grew smaller until, eventually, games moved to disc formats, with developers releasing a new console every few years to keep up. # ⚓ The_paradox_of_open:_How_to_build_a_better_internet⠀⇛ In an era when content rules, the impulse to expand access to creative works is an idea whose time has been around for at least 20 years. It is hard to even imagine today’s maker culture of re-mix and re-use in a proprietary world dominated by copyright. Early on in 2001, when the Creative Commons (CC/cc) organisation was founded by Lawrence Lessig as a United States-based charity to legally adopt creative licences across jurisdictions, it was a measure of reform to copyright legislation intended to build a healthy digital commons. # ⚓ Many_ways_to_skin_a_cat:_BlindSA_obtains_a_court declaration_on_the_unconstitutionality_of_the_South African_Copyright_Act [Ed: Litigation profiteers like this author might never be able to truly understand why some nations don't wish to succumb to the regime of copyright barons from abroad]⠀⇛ As IPKat readers may know, the legislative process to amend South Africa’s current Copyright Act has been a long continuing one with BlindSA amongst others, at its forefront. Indeed as this Kat has reported on this blog (here), the process of addressing the South African President’s reservations regarding the Copyright Amendment Bill (CAB) just kicked off in May 2021 (11 months after the President had sent his reservations in a letter to Parliament). It seems that BlindSA decided to pursue other legal means to achieve its aim of using copyright exceptions to legitimise unlicensed access to copyright-protected works for visually impaired persons. Late in September, a High Court in Gauteng Division ruled on a motion filed by BlindSA in Blind SA v Minister of Trade, Industry and Competition (14996/21) challenging the constitutionality of South Africa’s current Copyright Act on the grounds that the statute limits people with visual and print disabilities from accessing copyright-protected materials in formats such as Braille, among others. ䷩ 𝚕𝚒𝚗𝚎 4058 ╒═══════════════════ 𝐃𝐀𝐈𝐋𝐘 𝐋𝐈𝐍𝐊𝐒 ═════════════════════════════════════════════╕ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 10.17.21⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ Links_17/10/2021:_GhostBSD_21.10.16_and_Mattermost_6.0⠀✐ Posted in News_Roundup at 7:02 am by Dr. Roy Schestowitz 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈ § Contents⠀➾ * GNU/Linux o Distributions o Devices/Embedded * Free_Software/Open_Source * Leftovers * § GNU/Linux⠀➾ o § Desktop/Laptop⠀➾ # ⚓ Framework:_a_customized_modular_DIY-ready_laptop_for_pros⠀⇛ It is not the first time that we witness an attempt to create a modular, customized DIY (Do-It- Yourself) laptop machine. But this one may be different. The Framework Laptop offers a new user-customized, upgradable laptop with a DIY edition for developers and technical users. Like the new Apple MacBook laptops and Microsoft Surface laptops, the Framework laptop is thin, lightweight with 13.5” and offers high durability without sacrificing the performance, style, or build quality. [...] It comes in two editions, the classical Framework Laptop edition which starts from $999, and the DIY edition (starts from $749) which you can buy the components and assembles your laptop at home. o § Audiocasts/Shows⠀➾ # ⚓ This_Week_in_Linux_172:_PinePhone_Pro,_Ubuntu_21.10,_KDE Plasma_5.23,_NVIDIA_+_Wayland⠀⇛ On this episode of This Week in Linux, PinePhone Pro Announced, Ubuntu 21.10 Released, KDE Plasma 5.23 Released, NVIDIA 495 Beta Driver Released, Ventoy 1.0.54 Released (Multiboot USB), Devuan 4.0 Released, AppSupport for Linux Platforms (Android), Heroic Games Launcher 1.10.2 Released, Lutris 0.5.9 Released, Are We Anti-Cheat Yet? All that and much more on Your Weekly Source for Linux GNews! # ⚓ GNU_World_Order_430⠀⇛ GNU **parallel** and **patchelf** from NixOS. # ⚓ Protonup:_Essential_Tool_For_Linux_Steam_Gamers_– Invidious⠀⇛ Proton is an absolutely fantastic tool but for some games it’s not going to work properly and you’ll need to try out a custom version, the most popular being proton ge and protonup will help us manage our versions. o § Kernel Space⠀➾ # ⚓ The_Most_Popular_Gamepads_with_Linux_Gamers_in_2021⠀⇛ During the last survey we had the chance to ask about the favorites gamepads used for gaming. We decided to split the market between major brands and “others” as it would be impractical to cover all existing gamepads by brand and name that can work with USB, a specific wireless protocol, or Bluetooth. # ⚓ Axboe_Achieves_8M_IOPS_Per-Core_With_Newest_Linux Optimization_Patches_–_Phoronix⠀⇛ It was just last week that Linux optimizations were leading to possible 6M IOPS per core and then at the start of this week new patches pushed Linux past 7M IOPS per-core with an ideal hardware configuration as well. In ending out the week, 8M IOPS has been reached! Jens Axboe of Facebook who leads the Linux kernel’s block subsystem and also well known for his development of IO_uring has been pushing the limits of Linux I/O performance. It was just last month he was excited over 3+ million IOPS per-core after upgrading to an AMD Ryzen 9 5950X desktop with Intel Optane Gen2 storage. o § Applications⠀➾ # ⚓ GNOME_Gingerblue_2.0.0_Recording_Software_supports_XSPF 1.0⠀⇛ GNOME Gingerblue 2.0.0 is Free Recording Software for GNOME. In the 2.0.0 release I have added support for XSPF 1.0 from Xiph.org. # ⚓ Free_Software_Review:_Balena_Etcher_couldn’t_be_easier_for writing_ISO_images,_but_do_they_really_need_telemetry?_– BaronHK’s_Rants⠀⇛ Debian 11.1 was released a few days ago and that means it’s time to refresh your installer media in case disaster strikes. It usually doesn’t strike, of course, but the thing about disasters is that they are often unforeseen. While using GNU/Linux is more reliable, as a strategy, than living in the Gulf Coast of the United States and wondering who could have seen hurricane season coming EVERY SINGLE YEAR, stuff happens. That’s why it pays to have a relatively current installer. o § Instructionals/Technical⠀➾ # ⚓ How_to_enable_debug_logs_in_Nginx⠀⇛ While working with the Nginx web server, one of the most common tasks is checking the debug logs. Knowing how to enable and interpret the debug logs is quite helpful for troubleshooting application or server issues as these logs provide detailed debugging information. In Nginx, you can enable the debug logs for examining the upstream interactions and internal behavior. Nginx keeps track of its events in two logs: error logs and access logs. Before moving ahead, let’s understand the basic concept of error logs and debug logs. # ⚓ How_to_fix_“FirewallD_is_not_running”_error_on_CentOS⠀⇛ Are you looking for a solution to fix the “FirewallD is not running” error? We are here to assist you. In Linux-based operating systems such as CentOS, FirewallD is a firewall management utility. It acts as a front-end for the netfilter framework of the Linux kernel, offering firewall functionality. It supports firewall zones, bridges, IPv6, IPv4, and other ipsets for networks. If the FirewallD utility is not enabled or your system is missing this tool, then you may encounter a “FirewallD is not running” error in your CentOS terminal. In this post, we will check three different solutions for fixing the “FirewallD is not running” error on a CentOS system. So, let’s start! # ⚓ How_to_enable_and_disable_systemd-resolved_in_Ubuntu_–_Anto ./_Online⠀⇛ This guide will show you how to enable and disable the systemd-resolved service in Ubuntu. # ⚓ How_to_do_Debian_11_Network_configuration⠀⇛ Debian is a Linux-based distribution known for its power, stability and security. Network configuration is a broad process to set up controls of a network, manage the network flow and operation to support the network communication for a specific organization or network owner. Multiple configuration settings are included while configuring the network: Router Configuration, Host Configuration, Software Configuration. In this descriptive post, network configuration of Debian 11 is explained using command line and GUI as well. # ⚓ How_to_delete_empty_lines_using_sed⠀⇛ There are two possible methods to delete empty lines from a text file using sed; the methods are listed below and are discussed in detail in the upcoming part of this guide. # ⚓ How_To_Install_ROS_Noetic_on_Ubuntu_20.04_LTS_–_idroot⠀⇛ In this tutorial, we will show you how to install ROS Noetic on Ubuntu 20.04 LTS. For those of you who didn’t know, ROS (Robot Operating System) is an open-source robotics software framework and tools for robotics applications. It helps design complex software without having a good understanding of the hardware. The architecture ROS Noetic supported are amd64, armhf, and arm64. 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 ROS Noetic on Ubuntu 20.04 (Focal Fossa). You can follow the same instructions for Ubuntu 18.04, 16.04, and any other Debian-based distribution like Linux Mint. # ⚓ How_to_Renew_DHCP_IP_on_Debian_11⠀⇛ The DHCP or Dynamic Host Configuration Protocol is used to assign devices random IP addresses automatically. When using a server or router with a DHCP server, clients don’t have to set their IP addresses manually. They need to request it from the DHCP. The IP addresses provided by DHCP are known as Dynamic IP addresses, while IP addresses set manually are known as Static IP addresses. # ⚓ How_to_ZIP_a_folder_in_Ubuntu⠀⇛ Sometimes, you want to share a directory or folder that contains a bundle of files with someone. In this situation, compressing the folder in a .zip file format is a good approach. Zip is the commonly used and popular archive file format in many operating systems for file compression that provides lossless data compression features. The zip file behaves as a container that is composed of more compressed files or folders. There are more file formats such as .tar extension, also common practice to use for Linux systems, but still zipping folders using .zip extension is ubiquitous and a perfect choice. Using Zip file format for file compression takes less disk space and saves the network bandwidth while you transfer a file from one machine to another system. Zipped file format can be transferred more quickly as compared to uncompressed files. These compressed zip folders can easily be extracted using supportive utilities in Linux, macOS, and Windows operating systems. You will learn in this guide how to zip a folder in Ubuntu Linux operating system. We will explain two methods for zipping a folder; one method is zip a folder using command-line and the other using the Gnome graphical interface environment. All steps we will cover in this article have been implemented on Ubuntu 20.04 LTS focal fossa distribution. # ⚓ How_to_use_vim_editor_–_Complete_Guide⠀⇛ Vim editor is among the best editors used in the command-line interface to open, edit and save files, vim editor can be used for editing simple text files as well as different code files of different languages. Vim is the updated version of Vi editor that’s why vim is abbreviated as “Vi improved”. It is highly efficient and also known as IDE (integrated development environment) because of its popularity in the programming editors. Vim has different shortcuts to perform tasks, it has different modes and bindings. # ⚓ List_all_Users_in_Ubuntu⠀⇛ The Linux administrator can easily interact with the system and manage all users using useful commands in a Linux system. Ubuntu is the most widely used Linux distribution that offers more useful features for system administrators to list all users and manage their daily tasks. Therefore, the administrator can easily grant privileges to a user on a file or folder and assign limited permission for each user to secure your system’s data. We will explore in this article how to list all users in the Ubuntu Linux system using a command- line environment. All commands are implemented on the Ubuntu 20.04 LTS focal fossa in this article. Let us dive into the details! # ⚓ How_to_play_Dungeon_Defenders_on_Linux⠀⇛ Dungeon Defenders is a hybrid multiplayer video game developed by Trendy Entertainment. The game was released on Microsoft Windows, Xbox, iOS, Mac OS, Linux, etc. Here’s how to play the game on Linux. # ⚓ How_to_play_Company_of_Heroes_on_Linux⠀⇛ Company of Heroes is a real-time strategy game developed by Relic Entertainment. The game takes place during WWII and was released on Windows, OS X, iOS, Android, and Linux. Here’s how you can play Company of Heroes on your Linux PC. # ⚓ How_to_Install_TeamViewer_on_Ubuntu_Linux⠀⇛ TeamViewer is a popular cross-platform tool that allows a user to remotely access and control another user’s computer in an easy and secure way. File sharing, remote desktop control and web conferencing between computers are all possible using TeamViewer. TeamViewer is useful for providing remote customer support in organizations, collaborating with colleagues who are far away, and connecting to your own device remotely. This article will walk you through the process of installing TeamViewer on Ubuntu systems. # ⚓ How_to_Upgrade_Ubuntu_21.04_to_21.10_Impish_Indri⠀⇛ Ubuntu has officially released the Ubuntu 21.10 codenamed Impish Indri. This has seen the introduction of GNOME 40 as the default desktop, and sadly GNOME 41 did not make the final cut. The release also introduces Linux Kernel 5.13 among new applications and other back-end performance improvements. # ⚓ How_to_Extract_Tar_Bz2_File_in_Linux_–_ByteXD⠀⇛ In this tutorial, we will be showing you how to use tar command to extract tar.bz2 files. Tar stands for tape archive, and it is one of the most used commands that deals with compressed archive files. Bz2 stands for bzip2. It is a specific compression algorithm. The tar command comes pre-installed in most Linux distributions. The tar utility is used to compress and extract files using different algorithms. Tar supports a wide array of compression algorithms such as gzip, bzip2, xz, lzip, etc. # ⚓ How_to_mount_ISO_in_Kubuntu_Linux_–_Darryl_Dias⠀⇛ Dolphin file manager in Kubuntu (Tested this in Kubuntu 21.04) does not ship with Mount ISO option in the right click menu, but with the help of the dolphin-plugins package we can add this and many other features. # ⚓ Setup_OpenWRT_on_BPi-R2_|_Zamir’s_Board⠀⇛ It’s pretty easy to get OpenWRT start and running on BPi-R2. However, I realized that I need to extend the root filesystem to the whole disk, which is where the struggling starts. o § Games⠀➾ # ⚓ 5_open_source_tabletop_RPGs_you_should_try⠀⇛ Open source arrived in the pen-and-paper RPG industry back at the turn of the century, when Wizards of the Coast, publisher of Magic: The Gathering and Dungeons & Dragons, developed the Open Game License (OGL). Many publishers have since adopted the OGL themselves or use similar licenses, such as Creative Commons. Today is Free RPG Day. It’s the one day a year you can go to your friendly local game store and pick up, at no cost, a free tabletop role-playing game from some of the biggest publishers in the hobby. If you don’t have a local game store or can’t get out to a game store, some free RPG sampler downloads are available from Dungeon Crawl Classics and Paizo. But not everything for Free RPG Day is available as a download, so I’ve collected five of my favorite open source tabletop games that you can download and play. o § Desktop Environments/WMs⠀➾ # ⚓ xfce4-terminal_0.9.0_development_release⠀⇛   Welcome back! Since I became maintainer of xfce4- terminal I’ve worked on replacing deprecated parts of the codebase, closing old bugs and merging Merge Requests which have been sitting around for a while. # § GNOME Desktop/GTK⠀➾ # ⚓ Emmanuele_Bassi:_GWeather_next⠀⇛ Libgweather, the small GNOME library that queries weather services, is getting a major version bump to allow applications using it to be ported to GTK4. In the beginning, there was a weather applet in the GNOME panel. It had a bunch of code that poked at a couple of websites to get the weather information for a given airport or weather observation stations, and shipped with a list of locations and their nearest METAR code. In 2007, the relevant code was moved to its own separate repository, so that other applications and system settings could reuse the same code as the panel applet: the libgweather library was born. Aside from the basic weather information and location objects, libgweather also had a couple of widgets: one for selecting a location (with autocompletion), and one for selecting a timezone using a location. Since libgweather was still very much an ad hoc library for a handful of applications, there was no explicit API and ABI stability guarantee made by its maintainers; in fact, in order to use it, you had to “opt in” with a specific C pre-processor symbol. Time passed, and a few more applications appeared during the initial GNOME 3 cycles—like Weather, followed by Clocks a month later. Most of the consumers of libgweather were actually going through a language binding, which meant they were not really “opting into” the API through the explicit pre-processor symbol; it also meant that changes in the API and ABI could end up being found only after a libgweather release, instead of during a development cycle. Of course, back then, we only had a single CI/CD pipeline for the whole project, with far too little granularity and far too wide scope. Still, the GWeather consumers were few and far between, and the API was not stabilised. # ⚓ Alexander_Larsson:_Quadlet,_an_easier_way_to_run system_containers⠀⇛ Kubernetes and its likes is an excellent way to run containers in the cloud. And for development and testing, manually running podman is very useful (although do check out toolbox). But sometimes you really want to run a system service using a container. This could be on your laptop, NUC, or maybe some kind of edge or embedded device. The container should automatically start at boot, restart on errors, etc. The recommended way to do this is to run podman from a systemd service. A lot of work has gone into podman to make this work well (and it constantly improves), and there are lots of documentation around the internet on how to do this. Additionally podman itself has some tools to help starting out (see podman generate systemd). But, the end result of all of these is that you get a complex, hard to understand systemd unit file with a very long “podman run” command that you have to maintain. There has to be a simpler way! Enter quadlet. o § Distributions⠀➾ # § BSD⠀➾ # ⚓ OpenBSD_7.0_Released_(openbsd.org)⠀⇛ Everyone’s favorite security focused operating system OpenBSD released version 7.0 Thursday. In addition to the usual bug fixes and performance enhancements, support for RISC-V processors has been added. # ⚓ GhostBSD_21.10.16_ISO_is_now_available⠀⇛ Removed all code related to startx fixes VirtualBox boot # § IBM/Red Hat/Fedora⠀➾ # ⚓ Red_Hat_Pushes_the_Edge_Further_with_Updates_to_Red Hat_OpenShift_and_Red_Hat_Advanced_Cluster_Management for_Kubernetes⠀⇛ Red Hat Inc., the world’s leading provider of open source solutions, today announced Red Hat OpenShift 4.9 and Red Hat Advanced Cluster Management for Kubernetes 2.4, both designed to drive consistency of the open hybrid cloud to the furthest reaches of the enterprise network. The new capabilities, which include the general availability of single node OpenShift for the small, full featured enterprise Kubernetes cluster, help organizations scale existing development, deployment and management workflows to meet increased interest in information and services. # ⚓ Red_Hat_OpenStack_Platform_16.2_Now_Generally Available⠀⇛ Red Hat, Inc., the world’s leading provider of open source solutions, today announced the general availability of Red Hat OpenStack Platform 16.2, the latest version of its highly-scalable and agile cloud Infrastructure-as-a-Service (IaaS) platform. Designed to help organizations succeed in a hybrid cloud world, Red Hat OpenStack Platform 16.2 delivers tighter integration with Red Hat OpenShift, so customers can run both new and traditional applications in parallel with improved network capacity, security features, storage, performance and efficiency. # ⚓ Red_Hat_Enhances_Developer_Experience_on_OpenShift with_Latest_Portfolio_Updates⠀⇛ Red Hat, Inc., the world’s leading provider of open source solutions, today announced a series of updates in its portfolio of developer tools and programs aimed at delivering greater productivity, security and scale for developers building applications on Red Hat OpenShift, the industry’s leading enterprise Kubernetes platform. With updates to tools like Red Hat OpenShift Pipelines, Red Hat OpenShift GitOps and the Red Hat build of Quarkus — as well as an expanding roster of training resources available on Kube By Example — Kubernetes developers can more easily build, automate and deploy cloud- native applications for hybrid multicloud environments. # ⚓ Red_Hat_OpenShift,_ACM_Updates_Flex_Kubernetes_at_the Edge⠀⇛ Red Hat announced updated versions of its Kubernetes-focused OpenShift and Advanced Cluster Management (ACM) platforms, highlighting the vendor’s focus on providing organizations with more flexibility in managing their container-based infrastructure in edge locations. OpenShift 4.9 now supports a single-node architecture targeted at edge environments. This option combines worker and control capabilities into one server, which reduces the need to rely on a centralized Kubernetes control plane and addresses the challenge of space-constrained environments with a smaller deployment footprint. OpenShift continues to offer support for 3- node clusters and remote worker nodes. # ⚓ My_5_favorite_Linux_container_images_|_Enable Sysadmin⠀⇛ When you start using containers in earnest, you quickly realize that there are many container images out there. One of open source’s greatest strengths is choice, and with so many images available, you have plenty of options when you need an image to base your work upon. I find myself going back to the same few images pretty frequently. There are five in particular that consistently make me a happy fledgling cloud architect. # § Debian Family⠀➾ # ⚓ Flatpak_1.12.1_hits_Debian_11_Backports,_fixes_bugs, and_makes_Steam_run_Windows_games_again._–_BaronHK’s Rants⠀⇛ Flatpak 1.12.1 has been pushed to Debian Backports for Debian 11. Among the new features, Steam works again. According to the release notes for Flatpak 1.12.0: “The major changes in this series is the support for better control of sub-sandboxes, as used by the Steam Flatpak app to run Windows games under Proton.” # § Canonical/Ubuntu Family⠀➾ # ⚓ Ubuntu_Web_20.04.3_Distribution_Release⠀⇛ Introduced the release of Ubuntu Web 20.04.3 distribution , aimed at creating a Chrome OS- like environment optimized for working with a web browser and running web applications in the form of standalone programs. The release is based on the Ubuntu 20.04.3 package base with the GNOME desktop. The browser environment for running web applications is based on Firefox. The size of the bootable iso image is 2.5 GB. [...] The distribution is developed by Rudra Saraswat , an eleven – year- old from India known for creating the Ubuntu Unity distribution and developing the UnityX project , a fork of the Unity7 desktop . # ⚓ The_State_of_Robotics_–_September_2021⠀⇛ September news is charged with analysis and comment of what has been a month with important announcements for open source robotics. It has been a month to understand that, in a nascent and fragmented market, the actors have a deeper impact upon all the stakeholders. A flop won’t be just a flop, it could be the reason why someone won’t give a robot a chance. o § Devices/Embedded⠀➾ # ⚓ PineTime_Smartwatch_and_Good_Code_Play_Bad_Apple⠀⇛ PineTime is the open smartwatch from our friends at Pine64. [TT-392] wanted to prove the hardware can play a full-motion music video, and they are correct, to a point. When you watch the video below, you should notice the monochromatic animation maintaining a healthy framerate, and there lies all the hard work. Without any modifications, video would top out at approximately eight frames per second. To convert an MP4, you need to break it down into images, which will strip out the sound. Next, you load them into the Linux-only video processor, which looks for clusters of pixels that need changing and ignores the static ones. Relevant pixel selection takes some of the load off the data running to the display and boosts the fps since you don’t waste time reminding it that a block of black pixels should stay the way they are. Lastly, the process will compress everything to fit it into the watch’s onboard memory. Even though it is a few minutes of black and white pictures, compiling can take a couple of hours. # § Mobile Systems/Mobile Applications⠀➾ # ⚓ PinePhone_Pro_is_here,_Finally._A_premium_Linux Smartphone⠀⇛ PINE64 announced that a pro version of the popular PinePhone is now available for pre- order. Here’s the spec and information. # ⚓ 5_Android_apps_you_shouldn’t_miss_this_week_–_Android Apps_Weekly⠀⇛ # ⚓ 10_best_minimal_apps_for_Android_–_Android Authority⠀⇛ # ⚓ Best_Free_Android_Apps:_Sugarizer_–_learning_platform –_LinuxLinks⠀⇛ o § Free, Libre, and Open Source Software⠀➾ # ⚓ Mattermost_6.0_messaging_system_Released⠀⇛ The release of the messaging system Mattermost 6.0 is available , focused on ensuring communication between developers and employees of enterprises. The server-side code of the project is written in the Go language and is distributed under the MIT license. The web interface and mobile applications are written in JavaScript using React, the desktop client for Linux, Windows and macOS is built on the Electron platform. MySQL and PostgreSQL can be used as a DBMS. Mattermost is positioned as an open alternative to the Slack communication system and allows you to receive and send messages, files and images, track the history of conversations and receive notifications on your smartphone or PC. Slack-ready integrations are supported , and a large collection of native modules are provided to integrate with Jira, GitHub, IRC, XMPP, Hubot, Giphy, Jenkins, GitLab, Trac, BitBucket, Twitter, Redmine, SVN, and RSS / Atom. # ⚓ Best_20_Free_Open-source_CCTV,_NVR_and_DVR_solutions⠀⇛ CCTV or closed-circuit television system makes use of camera networks and monitor to watch and monitor of interior and exterior of a property. Companies, museums, art galleries, and houses are using CCTV networks for video surveillance and security. There are dozens of commercial CCTV software packages. However, as they vary in price and features, they are also not for everyone. In this article, we present a collection of free and open-source CCTV and DVR (Digital video recorder) solutions. Our primary goal is to promote open-source and offer reliable alternatives to commercial solutions. # ⚓ AV1_Codec_Library_libaom_v3.2_Brings_More_Performance Optimizations⠀⇛ Libaom 3.2 is now available as the latest version of the official AOMedia/Google-developed AV1 Codec Library. With libaom 3.2 comes compression efficiency improvements, perceptual quality improvements, and a variety of speed-ups and memory optimizations. # ⚓ Apache_Software_Foundation_moves_to_CDN_distribution_for software⠀⇛ It’s not enough to create and release useful software. As an open source foundation, a major part of the Apache Software Foundation’s (ASF) job is to help get that software into the hands of users. To do so, we’ve relied for many years on the contributions of individuals and organizations to provide mirror infrastructure to distribute our software. We’re now retiring that system in favor of a content distribution network (CDN), and taking a moment to say thank you to all the individuals and organizations who helped get ASF software into the hands of millions of users. # ⚓ Bareflank_Hypervisor_3.0_Pre-Release_Debuts_With_Many Changes⠀⇛ Bareflank 3.0 has been a big undertaking more than one year in development. Bareflank 3.0 improvements have included work to support AMD SVM virtualization, initial work on the ARM/AArch64 support, native Windows support not needing Cygwin, migrating their codebase to C++14, and a variety of other enhancements. # ⚓ Open_Source_Initiative:_October_News_&_Updates [Ed: Sadly, OSI already has a Microsoft 'mole' (Aeva Black) inside its board. So you know where OSI might be going... to make matters worse, Microsoft is 'double-dipping' with bribes to OSI, both as "GitHub" and Microsoft]⠀⇛ I consider myself lucky to have witnessed open source changing the world, watching it go from a niche revolutionary idea to owning a place just about everywhere in everyday life. It spread because of the principles it embeds: Non discrimination, fairness, collaboration, community and innovation. These principles of open source were written in the Open Source Definition to simplify our way of interacting with the digital world. There’s much we can accomplish together as a community; it was great to jump right in with the Practical Open Source Information event. For now, know that I’m committed to open communication, and ready to hear any questions, concerns or ideas you have. Book an appointment for an informal chat during office hours on Fridays. # § Web Browsers⠀➾ # § Mozilla⠀➾ # ⚓ Mozilla_Localization_(L10N):_L10n_Report: October_Edition [Ed: Mozilla continues to outsource its operations to Microsoft's proprietary software monopoly, so one can see where Firefox is generally going]⠀⇛ # § CMS⠀➾ # ⚓ 21_Open-source_tools_to_fix_your_site_broken_links and_improve_your_SEO⠀⇛ Broken links in your website mean that your site is not reliable, and it does not offer a good, satisfying user experience. The broken links are not just visible to your visitors, they are checked and monitored by search engines, which leads to bad SEO. Broken links can be internal to a site’s internal page or external to external websites or resources. That’s does not matter much, they have still broken links. # ⚓ Projectify:_A_TiddlyWiki_powered_Personal_Project manager⠀⇛ TiddlyWiki is a lightweight, portable multipurpose note-taking app. Created by Jeremy Ruston and powered by a strong community, TiddlyWiki became productivity tool for many. Because it is highly customizable and portable, you can use it for almost anything. Besides, It has a growing ecosystem filled by its community with plugins, hacks, and themes. I have been using TiddlyWiki for years, mainly to take notes, record my thoughts and track my progress while learn or study anything. I also use it as a personal to-do list and a project manager. Everything is a post, every post uses tags, and posts are connected. # § Education⠀➾ # ⚓ Next_FOSDEM:_5_&_6_February_2022⠀⇛ We are painfully aware that we’re not only compressing our schedules, but yours as well. I don’t think we ever said it this early, but we’re all looking forward to FOSDEM 2023. # § FSF⠀➾ # § GNU Projects⠀➾ # ⚓ How_To_Achieve_A_Liquify_Look_In_Gimp⠀⇛ # ⚓ How_To_Add_New_Fonts_To_Gimp⠀⇛ # ⚓ How_To_Create_A_Pattern_In_Gimp⠀⇛ # ⚓ How_To_Create_Pixel_Paintings_In_Gimp⠀⇛ # ⚓ How_To_Crop_An_Image_In_Gimp⠀⇛ # ⚓ How_To_Paint_An_Object_With_A_Pattern_In_Gimp⠀⇛ # ⚓ How_To_Outline_An_Image_In_Gimp⠀⇛ # ⚓ How_To_Remove_A_Background_In_Gimp⠀⇛ # ⚓ How_To_Use_The_Clone_Tool_In_Gimp⠀⇛ # ⚓ How_To_Use_The_Scissor_Tool_In_Gimp⠀⇛ # § Programming/Development⠀➾ # ⚓ Software_developers_have_stopped_caring_about reliability⠀⇛ Of all the principles of software engineering which has fallen by the wayside in the modern “move fast and break things” mentality of assholes modern software developers, reliability is perhaps the most neglected, along with its cousin, robustness. Almost all software that users encounter in $CURRENTYEAR is straight-up broken, and often badly. Honestly, it’s pretty embarassing. Consider all of the stupid little things you’ve learned how to do in order to work around broken software. Often something as simple as refreshing the page or rebooting the program to knock some sense back into it — most users can handle that. There are much stupider problems, however, and they are everywhere. Every morning, I boot, then immediately hard- reboot, my workstation, because it seems to jigger my monitors into waking up properly to do their job. On many occasions, I have used the browser dev tools to inspect a broken web page to figure out how to make it do the thing I want to do,1 usually something complicated like submitting a form properly (a solved problem since 1993). When the average person (i.e. a non-nerd) says they “don’t get computers”, I believe them. It’s not because they’re too lazy to learn, or because they’re backwards and outdated, or can’t keep with the times. It’s because computers are hard to understand. They are enegmatic and unreliable. I know that when my phone suddenly stops delivering SMS messages mid-conversation, it’s not because I’ve been abandoned by my friend, but because I need to toggle airplane mode to reboot the modem. I know that when I middle click a link and “javascript:;” opens in a new tab, an asshole a developer wants me to left click it instead. Most people don’t understand this! You and I, dear reader, have built up an incredible amount of institutional knowledge about how to deal with broken computers. We’ve effectively had to reverse engineer half the software we’ve encountered to figure out just where to prod it to make it do the thing you asked. If you don’t have this background, then computers are a nightmare. # ⚓ Dirk_Eddelbuettel:_RcppQuantuccia_0.0.4_on_CRAN: Updated_Calendar⠀⇛ A new release of RcppQuantuccia arrived on CRAN earlier today. RcppQuantuccia brings the Quantuccia header-only subset / variant of QuantLib to R. At the current stage, it mostly offers date and calendaring functions. This release is the first in two years and brings a few internal updates (such as a swift to continuous integration to the trusted r-ci setup) along with a first update of the United States calendar. Which, just like RQuantLib, now knows about two new calendars LiborUpdate and FederalReserve. # ⚓ System/Linux/DevOps_Engineer_Interview_–_Invidious⠀⇛ An interview with a fellow Linux Engineer / System Engineer / DevOps Engineer / Programmer / Tech Person — Craig has an interesting background, and some amazing advice for those of you breaking into the tech industry right now. # ⚓ ninja_Build_system,_and_renamed_files⠀⇛ I’ve been hearing about ninja, I had looked at it some time in the past, and did some local basic benchmarking (using time), and didn’t find a huge difference in build times, both from scratch and incrementally. I tried ninja again recently and found one feature that sells it pretty well to me, it can show the build progress on one line in the terminal. # ⚓ The_Return_of_the_Unix_Shell⠀⇛ With about half a century of life, the Unix shell is pervasive and entrenched in our computing infrastructure—with recent virtualization and containerization trends only propelling its use. A fresh surge of academic research highlights show potential for tackling long-standing open problems that are central to the shell and enable further progress. A recent panel discussion at HotOS ’21 concluded that improvements and research on the shell can be impactful and identified several such research directions. Maybe it’s time for your research to be applied to the shell too? # § C/C++⠀➾ # ⚓ Sin_function_in_C⠀⇛ In mathematics, the sine function is among three primary functions, others comprising cosine and tan. Techniques for executing basic mathematical operations, like the elementary exponential, logarithmic, square root, and mathematical operations, are included in the header. You must include the header file to utilize these functions. The sin function accepts an angle in radians and gives its sine value, which can be confirmed using a sine curve. You may use the law of sine to find any arbitrary angle in a triangle, as well as the length of a certain triangle side. This is a fundamental trigonometric notion. The sin function is used in the ANSI/ISO 9899-1990 versions of the C language. Sin () returns a result that is between 1 and -1. Now, let us start with a few examples of sin() function in the C programming language. # ⚓ How_to_pass_a_struct_to_a_function_in_C⠀⇛ A structure has been widely used as a user-defined data type in the C language. The purpose of using structures in C is to create a single data type that would be used further to group various data type variables or elements into one type. The structure has been used as a global variable so all the functions can access it easily. This means it can’t be declared in the main method so that we can use it anywhere. # ⚓ C++_String_Reverse⠀⇛ If the string, “vwxyz“, is reproduced in the new order as, “zyxwv“. Then the string has been reversed. Unfortunately, such direct reversibility is not possible in C++. However, there is a classical workaround for reversing a string in C++. Keep reading this article to know- how. A string can be created in two main ways in C++. A string can be created as a constant pointer to a sequence of characters. A string can also be created by instantiating a string object from the string class. This article deals with string objects instantiated from the string class. This means the string library has to be included in order to execute the code samples in this article. A string object is a data structure where the string literal is a list. Each character is of one element in the list. And so, a literal string can be handled like an array of elements. This article explains the classical workaround to reverse a string in C++. This essentially iterates the string literal, backward. Having a summary knowledge of forward iteration enables the reader to understand reverse iteration better. This article deals with string objects instantiated from the string class. # ⚓ C++_String_starts_with⠀⇛ There comes a time when the programmer has to know what a string starts with. This knowledge can be used to choose or eliminate items in a list of characters. So, a programmer may want to know if a string starts with a particular character or with a particular sub-string. A programmer can write code that will check the initial characters of a string, one-by-one, and compare that with a prefix sub-string. However, all the strategies involved have already been done by the C++ string library. The C++ string class of the string library has the member function, starts_with(). This does the work for the programmer, but the programmer needs to know how to use the function. And that is why this tutorial is being produced. There are three variants of the string starts_with() member function. Variants of the same function are called overloaded functions. The basic approach for the start_with() member function is to compare a short independent sub-string with the first short segment of the string in question. If they are the same, then the function returns true. If they are different, the function returns false. # ⚓ Function_Overloading_in_C⠀⇛ Function overloading is a very well- known concept used in object-oriented languages having many functions with the same name and different parameters in a single code. The object-oriented programming languages which support function overloading include Java and C++. As the C compiler doesn’t allow it to be used in the code hence, it isn’t easy to implement function overloading in C. Yet; we can still achieve the same thing with some technique. Let’s start this article with the opening of the shell terminal of Ubuntu 20.04 LTS. # § Python⠀➾ # ⚓ Python_CGI_example⠀⇛ CGI is abbreviated as Common Gateway Interface in Python, which is a block of benchmarks to explain the exchange of data among the web server and a script. A CGI program is written by an HTTP server as the user input is entered through the HTML . In other words, it is a collection of procedures that are used to build a dynamic interaction between the client and the server application. When a client uses any element or sends a request to the web browser, that CGI executes a particular request, and the result or the output is sent back to the webserver. # ⚓ How_do_I_check_if_a_string_contains_another substring_in_Python⠀⇛ Sometimes we need to find out whether a particular string is present in another string or not. So to know that there are some already pre-defined methods available in Python programming. # § JS⠀➾ # ⚓ How_to_disable_scrolling_on_a_webpage_with JavaScript⠀⇛ JavaScript is a web language used for creating dynamic web pages and making them interactive for users. Through JavaScript we can perform various functions, change CSS of HTML elements, perform actions on each click and many more.JavaScript makes the page of our website more interactive and adds dynamic behaviors to it, we can create various menus, drop down menus, scroll bars etc. We can even enable and disable the behaviour of each of these components using JavaScript. In this article we’ll see how to disable scrolling on a webpage using JavaScript. # ⚓ How_to_check_if_an_array_is_empty_in JavaScript⠀⇛ Knowing how to check for an empty array is an important coding skill which can often come in handy. It can be helpful in a situation where you have to show or hide something on a web page depending on whether the array is empty or not. Similarly, there are many other places where you will find this skill helpful. The purpose of this post is to explain the code, the concept behind the code and the most common use cases of checking for empty arrays in JavaScript code. # § MySQL⠀➾ # ⚓ What_is_connection_string_in_MySQL⠀⇛ In this article, we will learn how we can access the data from the MySQL database using the PHP language. [...] Connection string is a string that specifies the information related to database login. For understanding, we will consider an example of a PHP scripting language and will write a code to establish the connection with the database. We have a database, named “Organization”, the user name is “maadi” and password is “qwer1234”… # ⚓ What_is_schema_in_MySQL⠀⇛ The data in MySQL is managed in databases in the form of tables, which further consist of rows and columns. What is Schema? Schema is different from databases as it does not have all the privileges that a database holds, it has only privileges of tables, rows, and columns which defines the structure of a database. In this write-up, we will explain what a schema is, how it works, and what are the differences between the schema and database. # ⚓ What_is_“IS_NULL”_query_in_MySQL⠀⇛ The ‘IS NULL” query in the MySQL database shows the data which is either missing or is unknown to DMS. A NULL value is different as it has no value, it is neither equal to zero integer or to an empty set. Null is a state, not a value, if we compare the NULL value to any other NULL value, the result will always be NULL because it’s unknown itself. A “IS NULL” query is used when data is missing or unknown for example we make a list of phone directories, if any person’s phone number is unknown then “IS NULL” will extract it and the number can later be added to complete the directory. In this article, we are going to understand what the “IS NULL” query is and how it works with some examples. # ⚓ How_to_use_the_SELECT_INTO_TEMP_table_statement in_MySQL⠀⇛ Sometimes, we are supposed to fetch out data from different MySQL tables which we can use for some specific purpose. For our ease, we create a temporary table and place all the data there which we can later use. When the session is over, the table will vanish on its own, else it can delete it using the DROP command. Similarly, to create the clone of the table we use the statement “SELECT INTO”, which not only copies the contents of the selected table but also inserts all the content into the newly created table. In this write-up, we will learn how to use the statement “SELECT INTO TEMP TABLE” in MySQL and how this statement works. # ⚓ How_to_use_mysqli_real_escape_string_function⠀⇛ A mysqli_real_escape_string is a built- in function of the PHP that is used to control the unwanted and dangerous characters. In this article, we will discuss with the help of an example what is the mysqli_real_escape_string function and how it can be used for the protection of the database. # ⚓ How_to_use_MySQL_Substring_function⠀⇛ Mysql has a variety of built-in functions for different purposes, one of them is the function of the substring. The function of substring deals with the “string” data type and it is used in database management to extract the string from the tables. Now what the string is? The string is the collective combination of the characters. For example, “Hello LinuxHint” and “KHG1234” are strings. In this article, we will understand what is the substring function and how it can be used in MySQL in managing the data in the databases. # ⚓ How_to_use_MySQL_COALESCE_function⠀⇛ MySQL is a DBMS that has a concept of Null values. In MySQL, COALESCE function is used as it returns the first non-null value from the specified series of expressions. If all values of the column are null then COALESCE will also return the null. It works similarly to “IS NULL query ”; both deals with the NULL values but the difference in both of them is of their behavior, “IS NULL” query extracts the null values from the table whereas the COALESCE function gives the first non- null value if there is any null value present in the table. In this write-up, we will explain what COALESCE function is in MySQL and how it can be used with the help of examples. o § Standards/Consortia⠀➾ # ⚓ OpenCL_3.0.9_Specification_Released_–_Phoronix⠀⇛ The Khronos Group’s OpenCL working group did a quiet Friday evening tagging of OpenCL 3.0.9. Most notable with OpenCL 3.0.9 as this routine specification update are the specification sources now being included for the provisional extensions adding semaphores and external memory support to OpenCL. Those extensions were originally announced this spring as part of OpenCL 3.0.7 but the specification ASCII doc sources were not included until now. * § Leftovers⠀➾ o ⚓ Opinion_|_Shut_Up_and_Drivel⠀⇛ A quote often attributed to Groucho Marx before he was born and after he died goes like this: “These are my principles. If you don’t like them, I have others.” o ⚓ Further_decline_in_reported_piracy_incidents⠀⇛ Piracy incidents in the first nine months of 2021 are the lowest reported in 17 years with, at the other end of the scale, 51 crew kidnapped, eight taken hostage and one killed. The latest piracy report from the International Maritime Bureau (IMB) released this week shows 85 vessels boarded, nine attempted attacks, two vessels shot at and one hijacked. o § Science⠀➾ # ⚓ Computer_scientists_at_University_of_Edinburgh_contemplate courses_without_‘Alice’_and_‘Bob’ [Ed: This isn't the way to promote equality but to garner animosity towards those who claim to be promoting this cause]⠀⇛ A working group in the School of Informatics at the University of Edinburgh in Scotland has proposed a series of steps to “decolonize” the Informatics curriculum, which includes trying “to avoid using predominantly Western names such as Alice/Bob (as is common in the computer security literature).” The names Alice and Bob were used to represent two users of a public key cryptography system, described in a 1978 paper by Ronald Rivest, Adi Shamir, and Leonard Adleman, “A Method for Obtaining Digital Signatures and Public-Key Cryptosystems.” And since then, a variety of other mostly Western names like Eve – playing an eavesdropper intercepting communications – have been employed to illustrate computer security scenarios in related academic papers. The School of Informatics’ working group reflects the University of Edinburgh’s commitment to diversity, equity, and inclusion and to meet specific obligations spelled out in Scottish regulations like the Equality Act 2010 and the Public Sector Equalities Duty. The naming recommendation was reported last month by The Telegraph, which cited internal university documents. The Register filed a Freedom of Information Request with the University to obtain the documents, which were added to the University’s website following the Telegraph report. [...] Examples cited in the document include “to avoid using master/slave to represent computing agents and instead use coordinator or workers” – a decision taken by numerous open source projects and companies in recent years – and to avoid using off- putting stereotypes during instruction. o § Health/Nutrition⠀➾ # ⚓ Migrant_Farmworkers_Are_Being_Left_Out_of_Roundup_Cancer Compensation⠀⇛ # ⚓ Sitting_too_much_drags_down_your_mental_health._Here’s_how to_get_moving⠀⇛ More than a year and a half of social distancing and work-from-home policies have led to less time moving around and more time sitting and looking at screens — it’s a potentially toxic combination that’s linked with poorer mental health. # ⚓ Senators_Ask_Instagram_About_Content_Promoting_Eating Disorders⠀⇛ In their letter to Zuckerberg and Mosseri, they write, “The stakes here are incredibly high — studies have found that eating disorders have one of the highest mortality rates of any mental illness. We have long fought to ensure Americans can access treatment services for eating disorders, but more must be done to protect our kids from being exposed to content on Facebook and Instagram that glorifies and promotes eating disorders.” o § Integrity/Availability⠀➾ # ⚓ NSA_warns_of_heightened_wildcard_TLS_certificate_risk⠀⇛ “Wildcard certificates have legitimate uses, but can confer risk from poorly secured servers to other servers in the same certificate’s scope,” warned an alert (PDF) from the NSA this week. ALPACA is a technique used to exploit hardened web applications through non-HTTP services secured using the same or a similar Transport Layer Security (TLS) certificate. # ⚓ Security_considerations_emerge_as_Finland_adopts_Covid pass⠀⇛ “Counterfeit apps are circulating. Restaurateurs and event organisers must ensure that they download the official Covid pass reader from a reliable app store. You have to watch out for criminal applications aimed at misusing personal information,” Eronen explained. Black markets for fraudulent health passes have sprung up in many countries, including Finland. But is it actually possible to fake a Finnish QR-based Covid pass? Cyber security experts told Yle that while it’s possible to fake something that looks like a Covid pass, a fraudulent QR code will not contain officials’ digital signature, meaning THL’s reader app is able to spot fraudsters. # § Proprietary⠀➾ # ⚓ A_Post-Mortem_in_5_Acts,_of_How_Microsoft_Privatized Open_Source,_killing_JavaScript_in_the_Process⠀⇛ Then one day Microsoft came in and took control of the two core tools, which were the gateways to the whole Open Source community; npm and Github. I don’t think people saw this coming, and it’s clear that the majority of developers, even today, don’t realize what happened and how it will affect them very shortly. Once the take-over was complete, a massive propaganda onslaught began to fully convert the idealistic open source community towards the capitalistic Microsoft mantra. It’s a ‘secret’ war, with high-tech propaganda, which over time will silently destroy and remove independence, kill-off non-Microsoft- owned editors, tools, libraries, even JavaScript itself. All of this is inevitable because Microsoft is a for-profit corporation. It’s in its DNA to take over whole industries and turn them into profit- generating monopolies for its shareholders. # ⚓ India_6th_most_affected_country_by_ransomware:_Google [iophk: Windows TCO]⠀⇛ India 6th most affected country by ransomware: GoogleNew Delhi: A Google report that analysed more than 80 million ransomware samples submitted over the last year and a half has revealed that India is at the sixth place in the list of 140 countries most affected by ransomware. # ⚓ Infosec_expert_Beaumont_slams_Microsoft_over_hosting malware_‘for_years’⠀⇛ According to the security firm Palo Alto Networks, “BazarLoader (sometimes referred to as BazaLoader) is malware that provides backdoor access to an infected Windows host. After a client is infected, criminals use this backdoor access to send follow-up malware, scan the environment and exploit other vulnerable hosts on the network.” # § Security⠀➾ # § Privacy/Surveillance⠀➾ # ⚓ Advocacy_Groups_Must_Stand_Up_for Encryption—While_They_Still_Can⠀⇛ Once again, proposed legislation mandating government access to encrypted messaging is making the rounds. Law enforcement agencies claim that greater oversight is needed to catch criminals online. They’re putting pressure on regulators and lawmakers to grant them access to private messages and data. But as awareness grows of government attempts to weaken encryption—and the threats they pose to digital privacy, security, and freedom of speech—the public has become increasingly vocal. # ⚓ The_hidden_fingerprint_inside_your photos⠀⇛ The different sensitivities of the photosites creates a type of imperceptible image watermark. Although unintentional, it acts like a fingerprint, unique to your camera’s sensor, which is imprinted onto every photo you take. Much like snowflakes, no two imaging sensors are alike. In the digital image forensics community, this sensor fingerprint is known as “photo response non-uniformity”. And it’s “difficult to remove even when one tries”, says Jessica Fridrich of Binghamton University in New York state. It’s inherent to the sensor, as opposed to measures, such as photo metadata, that are “intentionally implemented”, she explains. # ⚓ Irish_DPC_greenlights_Facebook’s_“GDPR bypass”.⠀⇛ Agreement to use data is not “consent”? Facebook’s legal argument is rather simple: By interpreting the agreement between user and Facebook as a “contract” (Article 6(1)(b) GDPR) instead of “consent” (Article 6 (1)(a) GDPR) the strict rules on consent under the GDPR would not apply to Facebook – meaning that Facebook can use all data it has for all products it provides, including advertisement, online tracking and alike, without asking users for freely given consent that they could withdraw at any time. Facebook’s switch from “consent” to “contract” happened on 25.5.2018 at midnight – exactly when the GDPR came into effect in the EU. Schrems: “It is painfully obvious that Facebook simply tries to bypass the clear rules of the GDPR by relabeling the agreement on data use as a ‘contract’. If this would be accepted, any company could just write the processing of data into a contract and thereby legitimize any use of customer data without consent. This is absolutely against the intentions of the GDPR, that explicitly prohibits to hide consent agreements in terms and conditions” o § Defence/Aggression⠀➾ # ⚓ US_to_Offer_‘Condolence_Payments’_to_Relatives_of_10 Civilians_Killed_in_Drone_Strike⠀⇛ The Pentagon said Friday that the U.S. would issue “condolence payments” to relatives of 10 Afghan civilians, including seven children, killed in an August drone strike—an attack military officials had initially defended as a “righteous strike” targeting an explosive-laden vehicle destined for militants and later admitted to being a “horrible tragedy” that claimed innocent lives. The statement from Pentagon spokesperson John Kirby followed a Thursday virtual meeting that included Dr. Steven Kwon, president and CEO of Nutrition & Education International (NEI), and Under Secretary of Defense for Policy Colin Kahl. NEI had employed as a technical engineer Zemari Ahmadi, who was killed along with nine members of his family in the August 29 Hellfire missile strike in Kabul as the U.S. was pulling its troops out of Afghanistan. # ⚓ Opinion_|_Drones_Must_Be_Banned_as_Weapons⠀⇛ Everyone who followed the withdrawal of American troops from Afghanistan was horrified by the drone attack, called a “tragic mistake” by the Pentagon, which killed ten members of a single family, including 7 children. # ⚓ Three_Children_Attacked_a_Black_Woman._A_Sheriff’s_Deputy Arrived_—_and_Beat_Her_More.⠀⇛ The Jefferson Parish Sheriff’s Office is investigating a deputy accused of holding a Black woman by her hair and slamming her head repeatedly into the pavement with such force that a witness to the Sept. 20 incident said it ripped several of Shantel Arnold’s braids from her scalp. A 14-second video captured the incident in the New Orleans suburb where, for decades, Black residents have accused the Sheriff’s Office of targeting them. It was the second time that hour that Arnold had been assaulted. By the time the deputies arrived, she said she had already fended off an attack by some local boys. # ⚓ Survivors_of_Medical_Abuse_at_ICE_Jail_in_Georgia_Are_Still Waiting_for_Justice⠀⇛ # ⚓ 20_Years_After_Anthrax_with_Robbie_Martin⠀⇛ Robbie Martin joined Whitney for an important discussion about the 20th anniversary of the 2001 anthrax attacks. # ⚓ India_fears_Taliban_fallout_in_Kashmir⠀⇛ Kashmir rebel shootings of civilians and police, raids by the security forces on militant hideouts, and insurgent infiltrations across the India- Pakistan ceasefire line have all increased in the Muslim-majority region since the Taliban overran Kabul on August 15. About 40 people have been killed in shootings and clashes in the two months since then in the Himalayan region, which has been divided since India and Pakistan became independent in 1947. Militants have targeted minority Hindu and Sikh civilians, while gun battles near the ceasefire line have also left soldiers and rebels dead. # ⚓ Experts_Shocked_by_Military_Robodog_With_Sniper_Rifle Attachment⠀⇛ Yesterday, we reported that the military hardware company Ghost Robotics had debuted a robodog with an attached sniper rifle. Now, experts are speaking out against the heavily armed robodog, which they say marks an inflection point in the development of killer robots — and should represent an urgent opportunity to reflect on whether the tech should be allowed at all. # ⚓ Reality_Winner_to_Appear_at_Screening_of_Film_Telling_Her Story⠀⇛ The documentary “United States vs. Reality Winner” is scheduled to be shown Wednesday in Washington, D.C., at the Double Exposure Film Festival and Symposium presented by the news organization called 100Reporters. Promotion for the event highlights Winner as a speaker following the screening. # ⚓ This_new_Broadway_play_doesn’t_have_a_script_—_but_it_does have_a_transcript⠀⇛ By 2017, Tina Satter’s New York downtown theater company Half Straddle — which she had founded nine years earlier — had toured the European theater circuit and mounted productions at esteemed off-off Broadway theaters. But to pay the bills, Satter still needed to take temp jobs on occasion. While she was — in her words — waiting for the phone to ring at a law firm where she was filling in as a receptionist, she read a New York magazine profile about Reality Winner, the 25-year-old National Security Agency contractor who had leaked a classified report about Russian interference in the 2016 presidential election to the Intercept. Satter poked around on the internet and found the transcript of the FBI interrogation of Winner. As she read it, the theater director in her saw artistic potential in the document. # ⚓ Turkey’s_use_of_chemical_weapons_brought_up_in_the_German parliament⠀⇛ For months, the Turkish state has used chemical weapons in its invasion attacks against the Kurdistan freedom guerrillas in Southern Kurdistan (Northern Iraq). The HPG Press Center has issued comprehensive statements stating that these weapons, which are prohibited by international organizations, have been used to kill a large number of guerrillas. # ⚓ A_Capitol_Police_officer_is_accused_of_telling_a_Jan._6 suspect_to_hide_evidence⠀⇛ Over the course of the next several days, Riley and the suspect allegedly sent dozens of messages back and forth and spoke on the phone at least once. In one message cited in the indictment, Riley instructed the suspect to, “get off of social media.” # ⚓ Florida_vendor_sells_hats_with_Nazi_symbols_during motorcycle_rally⠀⇛ “It’s absolutely disgusting to see a vendor selling Nazi and SS gear, but it’s even worse that the only reason they would do so is because people are actually buying it,” Davis said. # ⚓ Swastikas_turn_up_on_Biketoberfest_merchandise_at_Froggy’s bar_on_Main_Street⠀⇛ “I know that a lot of visitors coming for Biketoberfest have political views different than mine and that’s fine, but I thought we were all in agreement that Nazi imagery has no place in our society,” said Jonathan Davis, a Holly Hill resident who took the photo on Thursday during a visit to the event. o § Transparency/Investigative Reporting⠀➾ # ⚓ Destroy_the_WhistleBlowers!⠀⇛ And here’s the thing. None of the information Assange released hurt anybody, and a lot of it needed to be revealed: war crimes in Iraq and Afghanistan and government surveillance of tens of millions of US citizens. The CIA made it all secret because it could, not because it was necessary or justifiable. It’s not just American intelligence agencies, of course, and they don’t always think about killing those who spill their precious secrets. Thus Israeli Mordechai Vanunu, who confirmed the existence of Israel’s nuclear weapons in 1986, was only kidnapped in Italy and jailed in Israel for 18 years (11 years in solitary). Vanunu’s revelation changed nothing: everybody already knew that Israel has nuclear weapons, even if it will never confirm it publicly. Thirty-five years after he was kidnapped, however, Vanunu is still not allowed to leave Israel. If he speaks to foreigners he is arrested, and sometimes jailed again for a few months. o § Environment⠀➾ # ⚓ Ghanaian_Fisheries_At_Risk_Of_Collapse,_Experts_Warn⠀⇛ The fisherman was describing saiko, the illegal transshipment of fish at sea. Saiko and other illegal, unreported and unregulated (IUU) fishing has steadily driven Ghana’s fish populations to the brink of collapse, threatening food security and the incomes of millions of people. In August, the EJF released a report based on interviews with 215 small-scale fishermen, fish processors and traders, more than half of whom said they went without sufficient food over the past year. More than 70% of respondents also reported deteriorated living conditions, including a lack of access to clean water, over the past five years due to loss of income. Analysts say there soon may be no more fish to catch. # ⚓ The_EU’s_vision_for_a_rapidly_changing_Arctic⠀⇛ This task could not be more urgent. Climate change is on everyone’s mind, but it is happening more than twice as fast in the Arctic as elsewhere. Some of the region’s coastal stretches will soon become ice-free during summers—and eventually during winters, too. Melting ice and thawing permafrost are releasing large amounts of methane, further accelerating global warming, while rising sea levels are increasingly threatening coastal communities around the world. The August report by the United Nations Intergovernmental Panel on Climate Change stressed that human actions lie at the root of these developments. # ⚓ Growing_BIPOC_Youth-Led_Climate_Movement_Is_the_Force Occupy_Could_Have_Been⠀⇛ # ⚓ Opinion_|_Climate_Activism_Is_Working_in_Germany⠀⇛ Two days before the recent German election, crowds gathered in cities across the country, demanding serious action on climate change. After catastrophic floods this summer, and protests from school climate strikers and anti-coal activists in recent years, climate breakdown overtook COVID as the issue of most concern to German voters, according to pollsters tracking attitudes in the run-up to the vote. # ⚓ Manchin_Threatening_Key_Climate_Provision:_Reports⠀⇛ Advocates for bold action to slash planet-heating emissions expressed concern Friday and Saturday following reports that a key climate program in the still-evolving reconciliation package may be neutered or taken out completely. Resistance to the program’s inclusion is coming from Sen. Joe Manchin of West Virginia, who, along with fellow rightwing Democrat Sen. Kyrsten Sinema of Arizona, has been a major obstacle to Democrats securing the 50 votes needed for Senate passage of the Build Back Better package. # § Energy⠀➾ # ⚓ Congress_needs_to_step_up_on_[cryptocurency],_or Biden_might_crush_it⠀⇛ The fact is that the leading American start- ups in the enterprise blockchain space have been trying for years to work in good faith with regulators — especially the Securities and Exchange Commission (SEC) — to set rules that guard against fraud and criminal activity but that also allow legitimate companies to bring their innovative and beneficial products to the marketplace. Instead of being invited to engage in transparent rulemaking or public engagement to reach clarity, these startups have been sued, subpoenaed and maligned. The SEC under two successive administrations has been particularly unconstructive, practicing regulation by enforcement as its only reliable means of dialogue with [cryptocurrency] companies. Sadly, the Biden administration is signaling it will double down on this approach. # ⚓ Finland-Based_Company_Develops_Technique_to_Reduce Carbon_Dioxide_Emissions_From_Cement_Production⠀⇛ VTT Technical Research Centre of Finland, in cooperation with business partners Finnsementti, Nordkalk, and UPM, has developed a new process that could significantly reduce the carbon dioxide emissions associated with cement and quicklime production. According to VTT, cement is responsible for about 7% of the world’s carbon dioxide emissions. The new process would incorporate a gas-tight, electrical-heated rotary kiln, which would utilize low-emission electricity, rather than combustion, to decompose calcium carbonate and capture the carbon dioxide produced in the process. # ⚓ VTT_reveals_work_on_electric_heated_kiln_project_with Finnsementti⠀⇛ The VTT Technical Research Centre of Finland and Finnsementti have revealed work on the Decarbonate project to test a 12m electrically-heated rotary kiln. Other partners on the initiative included Nordkalk and UPM. Precalcination was tested as well as the projection of quick lime. The eventual goal is to use electricity from renewable sources to power the kiln and then capture the CO2 released for utilisation. # ⚓ Critical_Decarbonization_Technologies_Need_at_Least “10x”_Investment⠀⇛ Breakthrough technologies such as hydrogen- based fuels, bioenergy and carbon-capture storage solutions are needed to hit the global goal of zero emissions by 2050. To scale these technologies and take them to market, at least a tenfold increase in investment is needed, according to the How to Finance Industry Net-Zero report. Released by the World Economic Forum and Oliver Wyman, the report outlines how to address the supply-and-demand-side gap and take these technologies to the next level. Part of the Forum’s Financing the Transition to a Net-Zero Future Initiative, the report brings together input from over 50 financial institutions and the public sector. Their focus is on how to steer capital to breakthrough technologies and drive a more sustainable future. # ⚓ Youth_Activists_Confront_Shell_CEO_During_Climate Panel⠀⇛ Shell is the seventh-largest producer of greenhouse gases in the world. In May 2021, in landmark litigation, a Dutch court ordered Shell to speed up its plans for reducing emissions 45% by 2050, and move that deadline up to 2030. Van Beurden, in an age- appropriate move, took to LinkedIn to complain that Shell was “singled out” and that reducing one company’s emissions wouldn’t make a difference in fighting climate change. (Climate scientists likely would beg to differ.) Despite claiming it wants to fight the climate crisis, Shell is appealing the ruling. “We agree urgent action is needed and we will accelerate our transition to net zero. But we will appeal because a court judgment against a single company is not effective,” Van Beurden said in a statement about the appeal. # § Wildlife/Nature⠀➾ # ⚓ Pablo_Escobar:_Colombia_sterilises_drug_lord’s hippos⠀⇛ The Colombian government has so far sterilised 24 of more than 80 animals. They have been treated with a chemical that will make them infertile. Colombian environmentalists say the hippos, believed to be the biggest herd outside Africa, are an invasive species and have pushed away the native fauna. o § Finance⠀➾ # ⚓ 5_Charts_Show_How_Tax_Reform_Can_Tackle_Bad_Corporate Behavior⠀⇛ # ⚓ The_Postal_Service_Can_Do_More_to_Be_Present_in_the_21st Century⠀⇛ # ⚓ Opinion_|_Corporations_Shouldn’t_Be_“The_Master_of_Our Fate”⠀⇛ In any election, anywhere, 90% of the voters agreeing on any anything would be rare indeed. But, that is exactly what happened Sunday when John Deere workers voted down the agreement negotiated by the United Auto Workers (UAW) and John Deere management, an agreement workers said was slanted to the interest of corporate profit at the expense of working people. # ⚓ [Former_IBM_executive]_The_Supply_Chain_Economy_–_A_New Categorization_of_the_US_Economy⠀⇛ A few weeks ago I attended The Supply Chain Economy: Understanding Innovation in Services, a virtual seminar sponsored by the Council on Foreign Relations with economists Mercedes Delgado and Karen Mills discussing their recent paper A New Categorization of the U.S. Economy. The debate about the drivers of innovation and job creation has long been centered on manufacturing versus services. The predominant view has been that manufacturing drives good wages, economic growth, and innovation as measured by its large share of patents, while services provide lower-wage jobs, less innovation and significantly fewer patents. But Delgado and Mills argue that categorizing the economy in terms of manufacturing versus services is no longer meaningful. Instead, they’ve proposed an alternative framework for understanding the drivers of innovation and economic performance that’s focused on the suppliers of both goods and services: the supply chain economy. “A long academic and policy debate has focused on the role of the manufacturing capacity of a country in its economic and innovative performance,” wrote the authors. “This question has become even more relevant as the U.S. economy has shown a large decline in manufacturing employment in recent decades, in part due to increased import competition. In this debate, the predominant view is that a country’s manufacturing capacity drives innovation because of externalities associated with the production of intermediate goods (e.g., machine tools, automation equipment, and semiconductors) that improve the efficiency of the innovation process. Most prior work on innovation focused on a narrow view of suppliers as producers of intermediate goods. However, in today’s economy suppliers increasingly produce services (e.g., enterprise software).” o § AstroTurf/Lobbying/Politics⠀➾ # ⚓ Manchin_Fumes_After_Sanders_Op-Ed_in_West_Virginia_Paper Calls_Out_Obstruction_of_Biden_Agenda⠀⇛ Senator Joe Manchin of West Virginia lashed out Friday after a major newspaper in his home state published an op-ed by Sen. Bernie Sanders that called out Manchin’s obstruction of his own party’s Build Back Better reconciliation package. “Congress should proceed with caution on any additional spending and I will not vote for a reckless expansion of government programs,” Manchin said in a statement shared on social media. # ⚓ Tibet’s_Exile_Parliament_Names_Three_Women_to_Cabinet Posts⠀⇛ The vote in the 17th parliament’s first session followed a four-month impasse over the seating of 45 MPs elected in an April 11 vote. # ⚓ Opinion_|_Cherry-Picking_Polls_to_Mask_Public_Support_for Biden’s_Reconciliation_Package⠀⇛ Washington Post columnist Henry Olsen (9/30/21) lauded Sen. Joe Manchin’s opposition to the $3.5 trillion reconciliation package being considered by Congress, because Manchin “correctly reads public opinion.” # ⚓ Manchin_Lashes_Out_After_Sanders_Condemns_Obstruction_of Biden_Agenda⠀⇛ o § Misinformation/Disinformation⠀➾ # ⚓ Doctors_Who_Repeatedly_Spread_COVID-19_Misinformation_and Disinformation_Should_Lose_Medical_Licenses:_PHR⠀⇛ “A foundational principle of medicine is ‘do no harm.’ By spreading misinformation and disinformation during the COVID-19 pandemic, some health professionals are contributing to profound harms, preventable death and illness, and distrust of science,” said Michele Heisler, MD, MPA, medical director of Physicians for Human Rights and professor of internal medicine and public health at the University of Michigan. “We face the COVID-19 pandemic as well as a pandemic of misinformation. Some of the most potent and damaging lies during this crisis have been created or propagated by medical professionals – including doctors and nurses – who should act as voices of facts, evidence, compassion, and ethics. Those who profit from or knowingly spread these toxic narratives and conspiracy theories have violated the Hippocratic Oath and are no longer qualified for the profession. Particularly during a pandemic, disinformation is deadly. # ⚓ US_military_is_not_dishonorably_discharging_350,000_Covid- 19_vaccine_holdouts⠀⇛ “I am not sure where that number came from but I can tell you that for the Active Duty service members, more than 96.79 percent have received at least one shot. As a total force, to include the National Guard and Reserves, we are over 80 percent with at least one dose,” he said. With an active duty force of roughly 1.4 million, the Pentagon figures would mean fewer than 45,000 service members have yet to begin the vaccination process. “I am unaware of any service members being discharged at this time because the deadline for the services has not hit yet ,” Dietz added. # ⚓ ‘They_Can’t_Stop_Everyone’:_GOP_Congressman_Dangerously Encourages_Kids_to_Defy_Statewide_School_Mask_Mandate⠀⇛ What could have been a simple high school government lecture on civic duty and participation from a local congressman instead became a Covid-19 misinformation fest worthy of a primetime slot on Fox News. Congressman Bob Good (R-Va.) encouraged a group of high school students to defy a statewide school mask mandate, and he spread lies about vaccines and how the virus spreads, the Rappahannock News reported. o § Censorship/Free Speech⠀➾ # ⚓ Danish_artist_hires_lawyers_to_reclaim_Hong_Kong_Tiananmen statue⠀⇛ The eight-metre (26-feet) high “Pillar of Shame” by Jens Galschiot has sat on the University of Hong Kong’s (HKU) campus since 1997, the year the city was handed back to China. It features 50 anguished faces and tortured bodies piled on one another and commemorates democracy protesters killed by Chinese troops around Beijing’s Tiananmen Square in 1989. Last week Hong Kong’s oldest university ordered it to be removed by 5pm on Wednesday citing “legal advice” as authorities crack down on dissent. Galschiot told AFP he had hired a local lawyer and requested a hearing with the university over the future of the statue as the deadline looms. # ⚓ Democrats_Use_Whistleblower_Testimony_to_Launch_New_Effort at_Changing_Section_230⠀⇛ The Justice Against Malicious Algorithms Act would amend Section 230 of the Communications Decency Act – which provides legal liability protections to companies for the content their users post on their platform – to remove that shield when the platform “knowingly or recklessly uses an algorithm or other technology to recommend content that materially contributes to physical or severe emotional injury,” according to a Thursday press release, which noted that the legislation will not apply to small online platforms with fewer than five million unique monthly visitors or users. # ⚓ Forget_the_‘small_minority,’_the_national_security_law_has silenced_Hong_Kong_society⠀⇛ Unintended (perhaps) targets include Hongkongers who find their favourite newspaper or website is no longer available, people who find organisations of which they were members or whose services they enjoyed have suddenly ceased operation, people who are eased out of jobs by employers who fear legal liability for something they might say, people who supported regular public events like the June 4th commemoration which will, we may surmise, never happen again. Many Hongkongers, including me, find that since the national security legislation was passed none of the people we voted for on various occasions are still in office, or indeed still in politics. Government fans are now desperately trying to rustle up some plastic pro-democracy politicos, to disguise the fact that life has become impossible for the real thing. # ⚓ International_Youth_and_Students_for_Social_Equality demands_the_immediate_reinstatement_of_Bright_Sheng⠀⇛ The following open letter was written by the International Youth and Students for Social Equality at the University of Michigan to David Gier, the Dean of the School of Music, Theater and Dance at the University of Michigan in Ann Arbor. # ⚓ DPC_“requires”_noyb_to_take_down_documents_from_website⠀⇛ Yesterday night, the Irish Data Protection Commission (DPC) sent an extraordinary letter (PDF) to noyb, saying it would “require [noyb] to remove the draft decision from your website forthwith, and to desist from any further or other publication or disclosure of same”. noyb refused to self-censor and limit the public’s access to problematic decisions. Alternatively, noyb invited the DPC to bring legal proceedings before the relevant Court in Austria, instead of sending letters that are intended to intimidate complainants. # ⚓ TikTok_Removed_81_Million_Videos_in_Q2_2021_—_But_Fewer Than_0.5%_Were_Copyright-Related⠀⇛ That’s for the period between April 1st and June 30th. During that time, TikTok removed approximately 81,518,334 videos in violation of the company’s community guidelines or terms of service. TikTok says that number represents less than 1% of the total videos posted. That means more than 8.1 billion videos were posted to TikTok in that three- month time period. TikTok averages around 90 million videos uploaded each day at that rate. # ⚓ Why_Did_The_Rolling_Stones_Drop_‘Brown_Sugar’_From_Their Setlist?⠀⇛ The chart-topping track appears on Sticky Fingers and deals with several scandalous topics. The familiar opening begins, “Gold coast slave ship bound for cotton fields.” The lyrics deal with heavy topics, while the title itself is a double entendre for heroin addiction. Keith Richards was asked about the omission of the song during a recent Los Angeles Times interview. “You picked up on that, huh?” the guitarist says. “I don’t know. I’m trying to figure out with the sisters quite where the beef is. Don’t they understand this was a song about the horrors of slavery?” “But they’re trying to bury it,” Richards continues. “At the moment, I don’t want to get into conflicts with all of this shit.” Richards says the song is gone from the setlist for now, but he hopes “that we’ll be able to resurrect the babe in her glory somewhere along the track.” # ⚓ 2_Hindu_Men_Killed_In_Fresh_Communal_Violence_In Bangladesh⠀⇛ Protests began on Wednesday after footage emerged of a Quran being placed on the knee of a Hindu god during Durga Puja celebrations. The minority community make up about 10 per cent of the population. [...] The Anti-Hindu violence spread to more than a dozen districts across Bangladesh this week after footage emerged on social media of the Quran incident. [...] High-speed mobile phone [Internet] services were shut down in an apparent bid to prevent the violence from spreading. # ⚓ Dave_Chappelle_for_gender_realism⠀⇛ Dave Chappelle is luckier than his two heroes. Having pocketed a reported $50m for six shows on Netflix, the 48-year-old stand-up is even bigger than they were at their peaks. And Mr Chappelle, who lives with his wife and children on a farm in deepest Ohio, shows no appetite for Pryor-level debauch or for voicing cartoon donkeys. No problem. The subversion bar has been reset so low by the censorious left that his irreverent, observational comedy has never seemed more topical or edgy. Thus the furore stirred by his jokes about transgender politics in the last of those shows, entitled “The Closer”, which was released last week. o § Freedom of Information/Freedom of the Press⠀➾ # ⚓ What_We_Lost_When_Gannett_Came_to_Town⠀⇛ The Hawk Eye isn’t dead yet, which sets it apart from many other local newspapers in America. Its staff, now down to three overstretched news reporters, still produces a print edition six days a week. But the paper is dying. Its pages are smaller than they used to be, and there are fewer of them. Even so, wide margins and large fonts are used to fill space. The paper is laid out by a remote design team and printed 100 miles away in Peoria, Illinois; if a reader doesn’t get her paper in the morning, she is instructed to dial a number that will connect her to a call center in the Philippines. Obituaries used to be free; now, when your uncle dies, you have to pay to publish a write-up. These days, most of The Hawk Eye’s articles are ripped from other Gannett-owned Iowa publications, such as The Des Moines Register and the Ames Tribune, written for a readership three hours away. The Opinion section, once an arena for local columnists and letter writers to spar over the merits and morals of riverboat gambling and railroad jobs moving to Topeka, is dominated by syndicated national columnists. By now, we know what happens when a community loses its newspaper. People tend to participate less often in municipal elections, and those elections are less competitive. Corruption goes unchecked, and costs sometimes go up for town governments. Disinformation becomes the norm, as people start to get their facts mainly from social media. But the decline of The Hawk Eye has also revealed a quieter, less quantifiable change. # ⚓ Cruel,_inhuman_and_degrading_treatment_of_journalists imprisoned_in_Iran⠀⇛ Those who try to denounce prison conditions end up paying a price in the form of arbitrary punishments. They include Kayvan Samimi Behbahani, 73, the well-known editor of the monthly Iran Farda and president of the Association for the Defence of Press Freedom. Held since December 2020, he is serving a one-year sentence for “anti-government propaganda.” In an audio message from Tehran’s Evin prison, he reports that he has been denied visiting rights and phone calls with his family since February as a punishment. “Eleven of my fellow detainees and friends who help me to contact my family are being threatened,” he said. The authorities are also refusing to reduce his sentence under a legal provision for elderly detainees who can no longer support prison conditions. o § Civil Rights/Policing⠀➾ # ⚓ Native_American_Protesters_Hit_by_Sonic_Weapons_in_DC⠀⇛ Ahead of Monday’s march, protesters painted “Expect Us” on the pedestal of a statue in Lafayette Park opposite the White House of Andrew Jackson, the genocidal seventh U.S. president known to Cherokees as “Indian Killer” — and a favorite of former President Donald Trump. Indigenous Environmental Network tweeted video footage of police using a Long-Range Acoustic Devices (LRAD) against demonstrators sitting defiantly but peacefully outside the White House fence. Some observers contrasted the deployment of so-called “sound cannons” against nonviolent Indigenous protesters both on Monday and during past #StopLine3 protests with the absence of such heavy-handed tactics during the deadly Jan. 6 attack on the U.S. Capitol by a mostly white mob. # ⚓ Apple_just_fired_a_leader_of_the_#AppleToo_movement⠀⇛ Apple has fired Janneke Parrish, a leader of the #AppleToo movement, amid a broad crackdown on leaks and worker organizing. Parrish, a program manager on Apple Maps, was terminated for deleting files off of her work devices during an internal investigation — an action Apple categorized as “non-compliance,” according to people familiar with the situation. The files included apps like Robinhood, Pokémon GO, and Google Drive. Internally, some employees expressed disbelief that Parrish’s firing could be anything other than retaliation for organizing. # ⚓ Apple_employee_says_she_was_fired_for_speaking_out_about workplace_conditions⠀⇛ Janneke Parrish, who was fired from her role as a product manager on Apple Maps on Thursday, told The Washington Post that she believes her firing was connected to her involvement in #AppleToo, a movement created to improve working conditions within the company. Parrish’s firing came just hours after she was quoted in a Washington Post article voicing support for her co-worker Cher Scarlett, who is a founder of #AppleToo. # ⚓ ‘Highway_robbers’:_How_a_trip_to_buy_farmland_ended_with police_taking_all_his_cash⠀⇛ They had no way of knowing at the time but Thai and Liu were about to begin an hourslong ordeal that would leave them stripped of all their cash and searching for answers. Their experience highlights the controversial law enforcement practice known as civil asset forfeiture, in which police can confiscate a person’s cash or other property even without bringing criminal charges. [...] The men are now fighting to get it back. Adding insult to injury, they contend that the amount the sheriff’s office says it confiscated – $131,500 – is actually $10,000 short of the total they had in their car that day. # ⚓ British_football_coach_jailed_for_25_years_in_Dubai_over cannabis_oil_found_in_car⠀⇛ “The UAE promotes itself as a glamorous ‘party place’ to foreigners with marketing designed to lure over investors, skilled labour and tourists. “Celebrities are paid to market the country, ultimately masking the truth for money. “People have been arrested for legal prescription medicine, for specs of dust or because of an association to someone, a false allegation, for having a glass of wine on a flight or trace elements of hashish consumed outside the country that are still present in the system. # ⚓ British_football_coach_‘tortured’_in_brutal_Dubai_prison after_25-year_sentence_for_CBD_oil⠀⇛ Dubai police are thought to have singled him out after monitoring WhatsApp messages and looking for words related to drugs, such as CBD, the abbreviation for cannabinol. A week before Mr Hood’s arrest the friend who owned the vape liquid sent him a message telling him he had forgot it in his car. # ⚓ Sikh_exodus_from_Afghanistan_as_community_flees_extremist persecution_after_Taliban_takeover⠀⇛ Only 212 Afghan Sikhs now remain in the country, trapped due to the suspension of commercial flights. It was the chaos of the 1990s that proved a deadly turning point for Afghanistan’s Sikhs. Both the Islamic fundamentalist Mujahideen, and then the Taliban, destroyed Sikh businesses, looted temples and occupied their land. o § Digital Restrictions (DRM)⠀➾ # ⚓ Netflix_Projects_‘Squid_Game’_Will_Generate_$891_Million_in Value,_According_to_Leaked_Data⠀⇛ Netflix paid $21.4 million for the nine-episode series, which premiered four weeks ago, and the company estimates “Squid Game” will deliver more than 40 times that — an estimated $891 million — in what it calls “impact value,” Bloomberg reported Saturday, citing confidential internal data that someone provided to the outlet. # ⚓ Canon_sued_for_disabling_scanner_when_printers_run_out_of ink⠀⇛ o § Monopolies⠀➾ # § Patents⠀➾ # ⚓ ‘Make_a_Gesture_of_Humanity’:_Pope_Francis_Urges Pharma_Giants_to_Release_Covid-19_Vaccine_Patents⠀⇛ Amid ongoing outrage over global vaccine inequity, Pope Francis on Saturday urged pharmaceutical companies to “make a gesture of humanity” by lifting intellectual property protections and sharing Covid-19 vaccine technology with the world. The pope’s remarks came during a video address to the World Meeting of Popular Movements, a collection of grassroots groups, in which he expressed his belief “that we are not condemned to repeat or to build a future based on exclusion and inequality.” # § Copyrights⠀➾ # ⚓ Primary_Wave_Acquires_Stake_in_Bing_Crosby’s_Name, Brand_Rights,_and_IP_—_Including_‘Many’_Unreleased Recordings⠀⇛ 15-year-old Primary Wave – which received a $375 million investment from asset-management firm Oaktree Capital Management (NYSE: OAK) over the summer – unveiled its all- encompassing deal with the Bing Crosby estate this morning. The transaction will see Primary Wave secure a stake in Crosby’s “publishing, master recording, film and television, name, likeness, and brand rights, as well as archive of owned materials,” the parties indicated. Primary Wave has specifically acquired Crosby’s IP and archived materials (including “thousands of recordings by Bing and other artists, many have which [sic] have never been released”) from HLC Properties Ltd, a company owned by the Tacoma, Washington-born singer’s estate. The latter (and, in turn, HLC) has been at the center of multiple high- profile legal battles involving the “At Your Command” vocalist and songwriter’s family. # ⚓ beIN_Identifies_IPTV_Providers_and_Xtream-UI_Panel_As Major_Piracy_Threats⠀⇛ For many years, beIN has made headlines due to its battle with Saudi-backed pirate TV service beoutQ. While that dispute spilled heavily into the political arena, the direct threat from beoutQ appears to be largely over. The overall threat from piracy certainly isn’t though and this week beIN revealed details of new threats, including a key pirate IPTV provider and software panel Xtream-UI. ╘══════════════════════════════════════════════════════════════════════════════╛ ¶ Lines in total: 7160 ➮ Generation completed at 02:41, i.e. 76 seconds to (re)generate ⟲