𝕿𝖊𝖈𝖍𝖗𝖎𝖌𝖍𝖙𝖘 Bulletin for Thursday, April 25, 2024 ┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅ Generated Fri 26 Apr 02:49:22 BST 2024 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/2024/04/25/ ╒═══════════════════ 𝐑𝐄𝐂𝐄𝐍𝐓 𝐁𝐔𝐋𝐋𝐄𝐓𝐈𝐍𝐒 ════════════════════════════════════╕ Previous bulletins in IPFS (past 21 days, in chronological order): QmbHjgPAAcGNUG9Sej4vSKhK8DfUYokfFkXLdKwr1JtGJG QmdLsuRLzrwb58dZaSmJah6oCmNNZ6cW4ick4chqJmHjmY QmTNR3uqcbMYjPAbbHjBqyNJb3ib8kytQvdFnATzkBFVvo QmfCHrqMLfMsHXYnQeAvVuNYt91Zw2AmMJ5mx4RqsrWy3b QmR2rr1yXDANjQBEz2oGtd2UMgy9U37FHdjpUhPfAk7h5z QmWE6ucdKk9Q1pi6ce3ko9xPWd9Y4BjpLij3W7tJ5TMjG3 QmaoEDiALTYYZdaq3SQ86aQpMwUji1nqCeLbXAoszFRYvJ QmSTkZUY74BcgbgqS6JKwwNbVnbzY5uqwpgWtYonGJua8s QmXZcp3rXLYa24pYd7jUu6sPDrhziRCNCok875WLJTLysP QmUE7nd24kx2soZFbSYKDsb1ik1wpirFTRTBhDTj6w9sjh QmdKeWBhfnjgQLYU48wto7DdStpXsB5mE1yEEnWcxQ53vu QmfSnnTnjcAe3YvtRsVgAwUJfpcEk1dM5J5yjJLyv7MxqM QmQ16CkpxBbMzPZ6wZcuKBUcxH1RZ8uAEhcvdBsPRpVZe9 QmT3gTQRv33wEDtJveL8DiqiacGeRaxEbRFDUyVSJEAvDL QmTs9qcwghZPs5oBh9qzsu8a11T4s6xHrJjVNyk5miFy3X Qmdqd6mb8mj27qVvQZRR7sjshrXYYirWm9vRttLkNB5rW6 QmSjY85vxbu9nNFHUMmuK7CxRame2VYuhb523CJaK5zRkj QmZwah9nZHVvSzbJWEAMxumYDpanFPqTahnqoNP83tuZbx QmQWSrGfeYwgf6HE9N3742DJrJwq8uNSCUAz469CnuUFGe QmcgTTyseF5zFd4MLquM4PtJZzkFcBEqaUbqDe4eaUx6Na QmZMEFKvpgvjxAcV9Pwu7yF74LYZwS7ktdLFdYb988Ncfu ╒═══════════════════ 𝐈𝐍𝐃𝐄𝐗 ═══════════════════════════════════════════════════╕ ⦿ Techrights - Amber Heard, Junior Female Developers & Debian Embezzlement ⦿ Techrights - Audiocasts/Shows: FLOSS Weekly and mintCast ⦿ Techrights - CISA Has a Microsoft Conflict of Interest Problem (CISA Cannot Achieve Its Goals, It Protects the Worst Culprit) ⦿ Techrights - Daniel Pocock elected on ANZAC Day and anniversary of Easter Rising (FSFE Fellowship) ⦿ Techrights - IRC Proceedings: Wednesday, April 24, 2024 ⦿ Techrights - Joerg (Ganneff) Jaspert, Dalbergschule Fulda & Debian Death threats ⦿ Techrights - [Meme] Arvind Krishna's Business Machines ⦿ Techrights - Microsoft Claims "Goodwill" Is an Asset Valued at $119,163,000,000, Cash Decreased From $34,704,000,000 to $19,634,000,000 and Total Liabilities Grew to $231,123,000,000 ⦿ Techrights - More Microsoft Cuts: Events Canceled, Real Sales Down Sharply ⦿ Techrights - Over at Tux Machines... ⦿ Techrights - Ulrike Uhlig & Debian, the $200,000 woman who quit ⦿ Techrights - [Video] Debian's Newfound Love of Censorship Has Become a Threat to the Entire Internet ⦿ Techrights - [Video] IBM's Poor Results Reinforce the Idea of Mass Layoffs on the Way (Just Like at Microsoft) ⦿ Techrights - [Video] Time to Acknowledge Debian Has a Real Problem and This Problem Needs to be Solved ䷼ Bulletin articles (as HTML) to comment on (requires login): https://news.techrights.org/n/2024/04/25/Amber_Heard_Junior_Female_Developers_Debian_Embezzlement.shtml https://news.techrights.org/n/2024/04/25/Audiocasts_Shows_FLOSS_Weekly_and_mintCast.shtml https://news.techrights.org/n/2024/04/25/CISA_Has_a_Microsoft_Conflict_of_Interest_Problem_CISA_Cannot_A.shtml https://news.techrights.org/n/2024/04/25/Daniel_Pocock_elected_on_ANZAC_Day_and_anniversary_of_Easter_Ri.shtml https://news.techrights.org/n/2024/04/25/IRC_Proceedings_Wednesday_April_24_2024.shtml https://news.techrights.org/n/2024/04/25/Joerg_Ganneff_Jaspert_Dalbergschule_Fulda_Debian_Death_threats.shtml https://news.techrights.org/n/2024/04/25/Meme_Arvind_Krishna_s_Business_Machines.shtml https://news.techrights.org/n/2024/04/25/Microsoft_Claims_Goodwill_Is_an_Asset_Valued_at_119_163_000_000.shtml https://news.techrights.org/n/2024/04/25/More_Microsoft_Cuts_Events_Canceled_Real_Sales_Down_Sharply.shtml https://news.techrights.org/n/2024/04/25/Over_at_Tux_Machines.shtml https://news.techrights.org/n/2024/04/25/Ulrike_Uhlig_Debian_the_200_000_woman_who_quit.shtml https://news.techrights.org/n/2024/04/25/Video_Debian_s_Newfound_Love_of_Censorship_Has_Become_a_Threat_.shtml https://news.techrights.org/n/2024/04/25/Video_IBM_s_Poor_Results_Reinforce_the_Idea_of_Mass_Layoffs_on_.shtml https://news.techrights.org/n/2024/04/25/Video_Time_to_Acknowledge_Debian_Has_a_Real_Problem_and_This_Pr.shtml ䷞ Followed by Daily Links (assorted news picks curated and categorised): https://news.techrights.org/n/2024/04/25/Gemini_Links_25_04_2024_SFTP_VoIP_Streaming_Full_Content_Web_Fe.shtml https://news.techrights.org/n/2024/04/25/Links_25_04_2024_South_Korean_Military_to_Ban_iPhone_Armenian_R.shtml ䷩ 𝚕𝚒𝚗𝚎 87 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/04/25/Amber_Heard_Junior_Female_Developers_Debian_Embezzlement.shtml Gemini version at gemini://gemini.techrights.org/n/2024/04/25/Amber_Heard_Junior_Female_Developers_Debian_Embezzlement.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Amber Heard, Junior Female Developers & Debian Embezzlement⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Apr 25, 2024 [Article 2 years old] Reprinted with permission from disguised.work. The latest phase of the Amber Heard/Johnny Depp saga is a defamation trial in the United States. Heard falsely accused Depp of pushing his ex-girlfriend down the stairs. The ex-girlfriend, Kate Moss, joined the trial by video link to tell_the_world_that_she_actually_fell. In other words, Heard had tried to deceive the court and public opinion. Lies like that belong in Molly de Blanc's infamous whisper network. Maybe Heard can volunteer to join the Debian anti-harassment team? Nonetheless, the Heard/Depp trial demonstrates the foolishness of going to court. Debian is spending vast sums of money on a_greedy_London_lawyer_to pursue_a_malicious_claim_at_WIPO. Today we expose another one of the lies in their legal documents. We cut and paste a phrase that appears multiple times in the legal documents: baseless claims of their involvement in the trafficking of young female developers Are these women really developers? We already searched_for_their_code_in_a previous_blog. We tried to avoid using the names of these women in this blog because they may very well be real victims of trafficking. Debian has decided to open a public case at WIPO and force their identities into the spotlight. Let us zoom in on the photo of Chris Lamb at DebConf19. Some of the Kosovo girls at the table really did do some development. The two girls closest to Lamb are not from Kosovo. They are from Albania. Twenty percent of trafficking victims in Lamb's country, the UK, are from Albania. In 2017, Dennis van Zuijlekom was photographing these girls and posted_them_on_Flickr_under_the headline_Just_another_crazy_photoshoot_with_fun-loving_glamour-girls_Anisa_Kuci and_Kristi_Progri_(both_of_Open_Labs_Hackerspace). 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Kristi Progri, Anisa Kuci⦈ In the same year, Lamb went to Albania for the first time and posted_the comments: Date: 24 May 2017 To: debian-project@lists.debian.org From: Chris Lamb Just to underline this. It was *extremely* remarkable and commendable that not only did the demographic skew of the organisers about 15-20 years younger than a typical conference, I would wager the gender split was around 70-80% female:male. The Albanian open source community is very healthy indeed. Six months later and one of the women from the photo shoot was at DebConf18, Taiwan, a long way from Albania, in the arm of the Israeli: 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇DebConf18, Enkelena Haxhiu, Diellza Shabani, Elena Gjevukaj, Lior Kaplan, Kristi Progri⦈ The other woman attended a series of events where Lamb was present, we extracted_her_travel_itinerary_from_social_media. 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇FOSSNorth, Outreachy, Chris Lamb, Debian⦈ Shortly after being pictured with the Israeli, the first woman begin working for GNOME. She started at the same time as Molly de Blanc. These two Albanian girls are best friends who grew up in the same building. Has Lamb fallen head-over-heels in love with Anisa? Suddenly, Lamb's ex-girlfriend Molly and the friend of Lamb's new love pursuit have both got jobs in GNOME. The road is clear for Lamb to move on the girl he wants. The job for Molly could be a consolation prize for being dumped and the job for the other girl looks like a sweetener to get closer to her friend. A few months later, the two girls are sitting beside Lamb at the DebConf dinner, right where he wants them. 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Chris Lamb, Anisa Kuci, Kristi Progri⦈ Both of these girls have done a lot of hard work in conference organization but they are not young female developers. Therefore, how did they get these tickets and internships ahead of so many other women who really are coding? The woman closest to Lamb was then awarded_an_Outreachy_internship_to_help_the next_DebConf. $6000 is a lot of money in Albania. Coincidentally, the conference she was asked to work on was meant to be in Israel, the home country of the developer who had his arm around the other woman in Taiwan. 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Anisa Kuci, Debian, Outreachy⦈ The legal documents claim the woman is a young female developer but these are her own words from her Outreachy reports: Week_two: The Debian project I applied for is ``Create fundraising material for DebConf20+, document the fundraising processes and support a cycle”. Week_three: These weeks I have been reaching out to nearly 100 possible sponsors around the globe, sending them the sponsorship email based on a template that I had been working on during the application phase of Outreachy. Week_five: Since the first weeks of the internship I started working on fundraising materials for DebConf20 as part of my tasks, using \LaTeX{} which is an amazing tool to work on creating different types of documents. Week_eight: Through organizing big and small events from 300 people conferences to 30 people bug squashing parties to 5 people strategy workshops, I have been able to develop skills because the community trusted me with responsibility in event organizing even before I was able to prove myself. Week_twelve: During the Outreachy internship I did two communication waves to potential sponsors and maintained the daily communication with them. I followed the documentation that was already available in the Debian wiki guiding me through the process of invoicing sponsors through the organizations that Debian collaborates with. The other woman has a Github profile and the only projects she has worked on are documentation projects. We can see that she has been active in the Albanian hackerspace for 7 years without starting to code. Her_Github_profile. The woman is featured in the banner used to promote Outreachy too: 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Outreachy⦈ We are sure these women provide very useful services to conference organization. They may well have the capacity to become developers if they stop working on conference organization. As it stands, the legal documents submitted by Debian are simply wrong. We regret that Debian has caused great embarassment to these women by telling WIPO they are young female developers. The Debian claims are a lie, much like Amber Heard's lie about Kate Moss being pushed down the stairs. If Debian really believes these women are developers, will they pay them developer salaries? █ 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Jonathan Cohen, Charles Fussell, Debian, embezzlement, WIPO, UDRP⦈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠉⡙⢑⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⣿⣿⣿⣿⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣴⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠄⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⢠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⢄⠀⠥⠄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠠⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⣿⣶⠲⠀⠀⠀⢀⠀⡠⢂⣠⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠀⠀⠀⠀⠀⠀⠙⠐⡀⠹⣿⣿⣿⣿⣟⣋⣉⣉⣝⣛⣿⣿⣿⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⡘⠃⠐⠰⠲⠻⡙⣬⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣤⣤⣿⣿⣿⣯⣁⣴⣄⠠⠈⣻⣿⣿⣿⡄⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⡄⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⣿⣿⣷⠀⠀⠠⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣫⣥⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠳⡄⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⣿⣿⣿⡇⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣉⠀⣰⣈⣷⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣟⢿⣿⣿⣿⣿⣿⣿⣥⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣠⣶⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠸⣿⣩⣁⣰⣼⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠆⠀⠀⠀⠀⠀⠈⢻⣿⣷⣿⣿⣿⣿⣿⡯⣉⣽⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣌⢿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠐⠷⠀⠂⠀⠀⠈⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀ ⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡁⠀⠐⠁⠀⠀⠈⠛⠿⢿⡿⠿⢛⣩⣿⣿⣿⣿⣿⣿⣿⣏⡀⢀⠀⠀⠀⠀⠀⠀⠀⠘⡆ ⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣟⣛⣋⣥⢄⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⠀⠀⠀⠀⠀⠈⠀⠨⠵⠊⠁⠀⡠⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡌⠙⢲⣾⣷⣄⠘⡂⠸⡇ ⣻⣿⣿⣷⣶⡾⣵⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣭⣷⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠛⠀⠀⠀⠀⠀⢰⣹⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⣟⠿⣅⠀⠘⠀ ⣿⣿⣿⣿⣧⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡦⠀⠠⠀⠀⠀⠈⠛⠿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣬⣬⣁⠀⡀⠀ ⠉⠉⠛⠛⠛⠁⠊⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⠂⠀⣠⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡱⢇⠊⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⠿⠿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⣼⡟⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣶⣭⣤⣄⣀⣀⣀⣀⣀⠀⣀⣀⡄⡀⡀⠀⠀⠀⠀⠀⢰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀ ⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀ ⠀⠀⠀⠀⠀⢀⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀ ⣿⠿⠿⠿⣿⣿⡇⣿⡿⣿⠿⢿⣿⣿⣯⡆⠀⢸⣿⠿⢶⣿⣿⠀⠈⠻⠿⢳⣿⣿⣿⣇⣿⡇⡇⣿⡇⡗⡇⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠀⠶⠶⣿⡟⠃⠃⠃⣿⠀⠘⠛⡃⠀⠂⠀⢻⡿⠀⢾⡿⠛⠀⠀⠀⠀⠙⠙⣿⡟⠓⠛⢧⣧⣿⣿⡇⡇⡟⡇⡏⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠀⠶⠶⣿⡇⠠⡇⠀⣿⠀⢠⠈⠫⠀⠀⠀⢤⡇⠀⢼⡄⠀⠀⢀⡇⠀⣾⠀⢸⡏⠠⠄⢸⣿⣿⣿⣷⣯⡇⡇⡇⣿⡟⡇⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣶⣶⣶⠛⠓⠂⠃⠂⠛⢲⣾⣖⡒⠈⠆⢰⣿⡗⣢⡾⢻⣷⣶⣿⣗⠐⣟⢰⣾⣿⣷⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣟⣟⣗⡿⣿⣿⡿⡷⣿⡿⡷⡿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣇⠀⠀⠀⠀⣶⡿⡟⠛⠛⠂⣄⣈⠉⣠⡟⠃⣺⣉⣽⣉⣹⡀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡇⣿⡇⠛⣿⠏⠃⣯⣿⡇⡿⡇⠃⣿⣿⡟⡟⣿⠿⣿⣿⠛⠻⠿⠶⠨ ⣶⣾⣻⣿⣿⣧⡀⡄⡇⡇⣿⣿⣶⣶⣄⠶⣭⣭⣿⡿⣷⣿⡿⢯⡽⣿⣷⣬⣼⣿⠟⣋⠉⠟⢿⣿⣿⣿⣿⣿⣷⠶⠷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠃⠰⣷⣿⠉⢋⣱⡇⠁⣟⠋⠁⣁⣯⠀⣩⣿⠉⢰⣶⣶⣷ ⠈⠙⠋⠙⠛⠿⢷⣷⡷⡟⠛⠛⠛⠛⠝⢺⣿⣿⣿⣿⣶⢽⡟⠛⠛⣻⠿⠿⠿⠋⣡⣶⣿⣿⣾⡏⢹⣿⣿⡿⢇⣕⣨⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣻⡄⠙⠟⠀⣻⣿⡇⢰⣿⡓⢂⣨⣿⣄⣙⣿⠀⢠⣠⣿⣀ ⠀⡀⠀⠀⠂⣶⣿⡿⣿⣆⠁⠀⠀⢼⢀⣾⡋⠉⢉⡉⠛⣼⣿⡆⢸⣿⣤⠀⠁⣰⡋⢻⠛⠛⢿⡂⠀⢐⣸⣿⣤⠈⠉⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣼⣿⡿⣦⣷⠈⣻⡫⠽⠽⢿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣉⡋ ⠀⡗⠀⠀⠀⢋⣨⡿⣾⣿⡆⠀⠀⠑⢾⣿⠛⠂⠛⠗⠶⣿⣿⣧⣾⣟⣽⣿⠀⣿⢟⡿⠷⠶⣶⡇⠀⣾⣟⠛⠃⠀⠘⠛⣿⣿⣩⣿⣏⣁⣨⡈⣹⣿⡇⣿⠾⢷⣾⠏⣸⣿⣷⣶⣤⠄⠹⢿⣿⠟⣉⣀⣤⣀⡈⠙⠂⠂ ⣄⡇⠀⠀⠀⠈⢿⣣⣿⡿⠃⠈⢀⡀⢸⣿⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⠀⠘⣾⡂⠀⠀⠜⠉⠐⣿⣿⣷⣤⣤⣤⣾⣿⣿⣿⣿⠋⠉⠛⠋⢻⣿⣧⣹⣿⣿⡾⠄⡿⠿⣏⢙⣿⣷⡇⠘⠉⣰⣿⠿⠿⠿⣿⡄⠀⠀ ⣿⣿⣦⡀⠀⠀⠀⠈⠉⠀⠀⠀⠀⢲⣾⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠈⠁⠀⠀⠀⠀⢠⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⣼⡿⠿⢻⡇⠀⠀⠀⢠⣤⠛⣻⠛⣿⡇⠀⠀⣿⣷⣾⣷⣦⣭⡇⢴⣾ ⣿⡻⣿⠁⠀⠀⠀⠀⠀⣠⣤⣴⣾⣿⠻⢀⠀⠀⣠⢸⢿⡿⣷⢿⣿⡿⠟⠀⠀⠀⡀⠀⠀⠀⠀⢀⡈⡿⠛⠻⢿⣿⣿⠛⣻⣿⣿⣧⠄⠀⠀⠀⠙⣻⣿⣷⣿⣷⡆⠀⠀⠀⠀⠈⠙⠀⠀⠀⠈⠛⠛⠓⠐⠋⠉⠄⠀⠀ ⣦⡝⠈⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣷⡀⡀⠀⢀⠄⢽⣿⡀⠀⠈⢦⢝⢀⠀⠽⣿⣿⣷⣿⣿⠏⠀⠍⠈⠐⢾⣿⣿⣷⣿⣿⣿⡟⣤⠀⠀⠀⠀⠚⠿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢈⣁⣀⠀⠰⣤⡀⠀ ⠈⠁⠀⠀⠀⠀⠀⠼⠏⠙⠙⢿⢿⣿⣿⣧⡈⠙⠀⠀⢘⣿⣷⠀⠀⠀⠤⢉⢛⠸⣿⣿⣿⣿⢋⣀⣈⣷⠀⣠⠐⣿⣿⣿⡯⢉⢿⣅⠠⡿⠰⣖⠀⡷⢻⠃⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⢿⣿⣿⣧⡨⡫⠷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⣿⣿⣿⣶⣤⣴⣶⣿⣿⣿⡀⠀⠀⠁⠉⠼⡿⠾⢇⡻⠇⠦⢿⣲⣃⠀⢽⠀⠸⣟⠏⠀⡿⣽⣿⡂⢺⣼⡯⢠⡿⡊⢆⠀⠀⠀⠀⠀⡀⣼⣿⣿⣿⣶⣶⣾⣟⡅⢟⢿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠋⠉⠛⠉⠉⠉⠉⠀⠀⠀⠈⠈⠀⠠⠄⠈⠀⠀⢀⠀⠚⠁⠀⣹⠀⢠⡏⠀⠀⡇⣾⣵⣿⠘⠿⡆⢈⣟⠄⠿⠂⠀⠀⠀⣮⣹⢿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠈⠀⠀⠀⠀⠀⠀⢲⠀⢀⡁⠀⡆⠁⠀⠉⢈⠄⠀⡀⢨⢊⢰⡆⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⣇⠀⣅⡈⠀⢰⠀⠀⠀⠀⠀⠀⣀⣀⣤⣀⡀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠭⠠⠀⠀⠀⠀⢀⣤⣾⣩⣴⠆⠠⣡⠏⠈⠁⠀⡀⢀⠛⣻⠛⢙⣿⢛⣿⠻⠙⢿⣯⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⣿⣿⣇⠀⠘⢀⣠⣤⣀⣀⣉⣉⣉⣉⣩⣭⣆⠀⠀⠀⠀⢻⣇⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⣺⠀⠀⢀⠀⢀⣿⣿⣿⣿⣿⣃⠀⢫⡏⡄⠀⠀⠠⣊⣸⣿⣷⡿⢹⣮⣿⣶⣴⠈⠘⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⢻⣿⣿⡆⢄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⡄⠀⠀⠀⠛⡇⠀⠈⢤⢾⣿⣿⣿⣿⣿⣿⣥⣿⣽⡁⠀⠀⠘⠺⠧⠺⠛⠁⣾⠈⠸⠝⠋⠅⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢟⢿⠛⣿⡇⣼⣿⣿⠿⠛⠉⠉⢿⣿⠋⠛⢿⣿⣿⡀⠀⠀⠀⠈⣧⠀⠀⠀⠄⠐⡂⠀⠀⠠⣿⣅⢀⠐⢔⣫⣽⣿⣿⡿⣿⣿⣛⣿⡿⡷⠆⢠⣗⡄⣺⣶⡤⠀⣬⡀⠀⠀⠀⠀⣤⣀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢐⣪⠀⡼⠃⣿⣿⠁⠀⠀⠀⠀⠘⡟⠀⠀⠀⠈⢻⣇⠀⠀⠀⠀⢹⡀⠀⠀⠀⠠⠄⠀⠆⠀⣿⣿⠸⣠⣿⣿⡿⣿⢟⣡⣿⠿⠾⣿⠁⣿⠀⢸⣿⣇⣹⡗⠳⣿⣟⢁⣾⣿⡀⢠⣿⣿⣿⣿⣷⣦⣀⠀⠀ ⠀⠀⠀⠀⠀⣸⣿⢼⣷⠀⢻⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠙⠀⠀⠀⠀⠀⠇⠀⠀⠀⠈⠅⠀⠀⠀⣿⡟⠀⣿⢿⣥⣿⣯⣾⣿⣿⠉⠉⠉⢸⠇⠀⠈⡛⠃⢻⡃⠤⡾⠛⡀⣨⣿⡇⠈⠓⠈⢏⡍⠛⢿⣿⣷⣦ ⠀⠀⠀⠀⠀⣈⠙⢻⡯⠀⠛⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠀⠀⠀⢀⡀⠀⠠⠀⣿⡇⠀⢺⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠈⠀⠈⠋⠘⠁⠃⠿⠻⠀⠀⠀⠀⠀⠑⠀⠘⠻⢿ ⠀⠀⠀⠀⠀⡿⠀⢀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠑⠐⠇⠀⠀⣼⣿⣷⠀⠐⠿⠣⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣠⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⠀⠀⣤⢠⡿⡧⠤⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⠀⠀⠈⢘⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣷⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢿⡷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠶⣾⡏⠸⠁⡀⠰⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠍⠀⠄⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣯⠛⠿⢿⡶⡀⠀⠀⢀⣤⣤⣴⣮⡜⠐⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠻⣷⣶⣄⠀⠀⠘⠀⠀⠀⠀⠀⢠⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⢠⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡆⠀⠀⠀⠀⠀⠀⠈⠉⣩⣟⣿⣁⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠇⠀⣹⣿⣿⣿⣴⣿⡀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⢸⣿⠁⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⢿⣿⣧⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⣸⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⣿⠀⠀⠘⠕⠀⠀⠀⠇⠀⠀⠉⠀⢠⠀⢠⣷⣆⣀⠀⠀⠀⠀⢀⣸⣇⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣛⠉⠉⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢰⣿⡇⠀⠀⠀⠀⢸⣿⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠘⠛⠓⠛⡇⠀⠀⠀⢿⣿⣿⠀⠀⠀⠀⣀⢄⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⣾⣿⣧⠀⠀⠀⠀⢸⣇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⢸⡆⠀⡇⠀⠀⠀⢸⣿⡇⠀⠀⠀⢠⣯⣼⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⢼⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢻⣿⡇⠀⠀⠀⠀⢸⡏⠀⣀⣸⣶⠀⠀⠀⢰⣶⠀⢰⣶⣶⡿⣶⣾⣷⣾⡇⠀⠀⠀⢸⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⡿⠿⢿⣿⡷⣿⣿⡀⠀⠀⠀⢸⣿⠇⠀⠀⠀⠀⢸⣧⡀⠛⠛⢿⠀⠀⠀⢸⣿⡄⢼⣿⡇⠀⡀⢠⠀⢺⣧⠀⠀⠀⣿⠿⠇⠀⠀⠀⣿⣿⡟⢛⣿⣾⣿⣇⠀⠀⠀⠀⠀⠀⠀⣿⡇⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣾⣿⠀⠀⣤⣄⡀⠉⢻⣿⣇⠀⠀⠀⢸⣿⡄⠀⠀⠀⠀⣾⣿⣿⠖⠀⣀⣀⠀⠀⢸⣿⠇⠹⠿⠚⠋⠃⠘⠛⠊⠻⠀⠀⠰⠃⠀⠄⠀⠀⢀⡀⠀⣤⣿⣯⠉⠀⣤⡀⠀⠀⠀⠀⠀⢰⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠀⠀⣭⣭⡵⠀⠀⣷⠃⠀⠀⠀⠈⢿⡇⠀⠀⠀⠀⠈⢿⣏⠀⠰⣿⣿⠀⠀⢸⠁⠀⣤⡀⠀⢲⣾⠀⠀⣤⡀⠀⠀⢠⠀⠀⡄⠀⢠⣿⡇⠀⣿⣿⣿⠧⠀⢈⠀⠀⠀⠀⠀⠀⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠀⠀⠛⠛⠁⣀⣼⣿⣄⠀⠀⠀⠐⣾⡇⠀⠀⠀⠀⢀⣾⣿⣄⠀⠉⠛⠃⠀⢸⡀⠀⠛⠁⢀⣼⣿⠀⠀⣿⠇⠀⠀⢸⠀⠀⠇⠀⠸⣿⡇⠀⣿⣿⣿⡀⠀⠛⠃⠀⢀⠀⠀⠺⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣶⠀⠀⣿⡇⠀⠀⣲⣶⣿⣿⣿⣿⣿⣷⣶⣤⣦⠄⣿⠶⠶⣶⣿⣿⣿⣶⠶⠋⠰⠄⠀⠈⣶⡖⠀⠀⠀⠘⠷⣶⣿⣿⣿⣿⣶⣖⠀⣊⣭⠀⢀⣴⣿⣏⠂⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠸⣇⣀⣤⣿⣿⣿⣿⣿⣿⣿⣿⠟⢉⡉⠀⢳⣶⣦⣹⣿⣿⣿⡗⠷⠦⠆⠀⢀⣠⣿⣧⣄⡀⠀⠤⠴⠌⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠸⣿⣿⣿⣷⣄⠂⠀⠀⠀⠀⠀⠀⠀ ⢻⣿⣇⣀⡀⠀⢀⣀⣸⣿⣿⣿⣿⣿⣿⣧⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣉⣉⣁⡉⠛⠛⠛⣿⣿⣿⣿⣶⣦⣴⣶⣿⣿⣿⣿⣿⣿⣶⣤⣤⣴⣿⣿⣿⣿⣿⡿⠿⢟⣉⣠⣴⣿⣿⣿⣿⣿⣕⠀⠀⠀⠀⠀⣶⣷ ⠬⠻⣿⣿⡇⠀⢸⣿⣿⣤⠤⠄⠀⢹⣿⡇⠀⢸⣷⠀⠘⡏⠀⠘⡏⠀⣸⣿⣤⠤⠄⠀⠐⠒⠃⠀⢁⡀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢠⣿⣿ ⣿⣏⠿⣿⡇⠀⢸⣿⣟⠀⠠⠶⠀⢸⣿⡇⠀⢘⣋⣁⠀⠀⣠⠀⠃⢠⣿⡏⠀⠰⠖⠀⢸⣿⡇⠀⢸⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⢸⣿⣿ ⢬⣿⣿⣻⣧⣴⣾⣿⣿⣶⣶⣶⣶⣾⣿⣷⣶⣾⣿⣿⣶⣶⣿⣶⣶⣾⣿⣿⣶⣶⣶⣶⣾⣿⣷⣶⣾⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿ 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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠛⠀⣿⣿⡇⠀⠀⠀⠀⣀⠀⠀⠀⠠⠖⣾⣿⣉⠛ ⣿⣿⣿⣿⣿⢿⣿⣿⣿⢿⣿⣿⢫⡅⣡⡴⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣧⠀⣤⣤⣤⡀⣽⡅⣠⣤⡄⢠⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⢸⣿⣼⡟⠁⣤⣤⣬⣯⢀⣤⣤⢠⣿⣬⢿⡿⢷ ⠛⠛⢿⣿⣥⢸⣿⣼⣿⣸⣿⠀⢸⡇⣨⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠛⣿⡆⣿⣇⣿⡇⣿⣇⣽⣻⡆⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠻⣷⡄⣿⡇⢸⣿⢨⣿⣿⠄⣿⣤⢸⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣶⡄⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡊⠉⠀⠰⠋⠀⠈⠉⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⠋⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⠀⠀⢠⣤⣬⠉⣤⣿⣥⣤⣄⢸⣿⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⡏⠁⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣤⡄⣾⣿⣿⢀⣿⣿⣿⢻⣿⣿⣿⣤⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡇⠀⠀⠀⠀⠀⢀⠀⠀⢀⣸⣿⣿⠀⠀⠀⠀⠀⠀⠀⢠⣴⣦⣄⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠀⠸⣿⣽⡤⠄⠀⠁⢸⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣷⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣤⣾⣿⣿⣿⠀⢸⣿⣿⣿⣿⣷⣄⣠⡆⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⣤⣖⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⣿⣿⣤⣤⣤⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡿⠿⢿⣿⣿⠛⠀⠀⠀⠀⠀⠀⠀⠈⠹⡿⠟⠉⠀⠘⣿⣿⣿⣿⣿⣿⠛⠁⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⣼⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣧⣶⡟⠀⠉⠀⠀⠀⠀⢀⣀⠀⠀⠀⠈⠏⠀⠀⠀⠀⠛⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠘⣆⡀⠀⠀⠀⣿⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⣿⣭⣭⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠦⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⢺⣿⣿⣧⣄ 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⠀⠀⠀⠀⠀⠆⣀⣦⣤⠠⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⢿⢟⡾⠫⢠⣴⣯⢻⣧⡀⠀⠀⠲⠴⣿⣿⣿⣿⣿⡧⠀⢗⠀⠉⠉⠹⡷⣠⡦⠀⠀⠀⠈⠁⠈⠻⠦⠀⠀⠀⠀⠀⠀⠀⠉⠑⠀⠀⠀⠶⠀⠠⠈⣸⢿⠐⠀ ⠀⠀⠀⠀⠀⠠⠺⠛⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣟⠋⠠⠀⢻⣷⣷⣶⣤⣿⡟⠠⢪⣿⣷⣾⣿⣿⣿⣿⣯⣷⣶⣦⡀⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀ ⠀⡀⠀⡆⢀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⡈⢀⣤⠀⠀⠀⠿⢻⢟⣿⣿⣷⢌⣿⣶⣍⢺⣿⣿⡿⢿⣻⣿⡻⢻⣇⡀⠀⢀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠒⠒⠿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣷⣿⣿⠀⠀⠀⣈⣽⣋⡶⣿⡏⠈⢻⣿⣿⢀⣠⣶⣾⣿⣿⣿⣿⣾⣿⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⣤⣀⡀⢰⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣶⣾⣷⣶⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶ ⠀⠀⠀⠀⠻⠟⠇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢰⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠿⣿⣿⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢩⢰⠫⠝⢨⡝⡍⡯⠍⡏⣭⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣘⣈⣜⣛⣘⣣⣇⣌⣇⣇⣿⣸⣿⢿⠿⣿⣿⣿⣿⣾⣿⡟⡻⠻⠋⢻⣿⣿⣿⣿⣿⡟⠀⠀⠀⣀⣠⣤⣤⣄⡀⠀⠘⣿⣿⣿⡿⠿⣿⣛⣟⠻⠿⣿⣿⣿⣿⡟⠯⠛⠃⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠛⠶⣯⣭⢷⠶⠮⠙⠛⠋⠉⠀⠀⠀⢤⣿⣿⣿⣿⣿⣿⠂⠀⣴⣾⣿⣿⣿⣿⣿⣿⣆⠀⣿⣿⣿⠈⠙⠻⡖⠾⠏⠙⠂⠉⠉⢀⡁⢀⣀⠐⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠈⠀⠀⠀⠀⠀⠀⢂⠮⣬⠿⠓⠂⠹⣿⠿⣿⣿⣿⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⠀⢹⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠜⠲⠚⠋⠁⠀⢻⡛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠛⠿⣟⠻⠮⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣶⣿⣇⡘⣿⡉⠀⠀⠘⠉⠉⠙⠛⠋⠉⠉⠉⡰⣿⢍⣛⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢻⣿⣿⣥⡹⠿⣟⣯⠿⣿⣿⣿⣿⣿⣿⣿ ⣿⡟⣿⡿⠻⣶⣀⠁⠓⠿⠿⠗⠀⠀⠀⠀⠀⠀⠀⢠⠀⢀⣠⣶⡆⡆⡆⢻⠙⣿⣌⢦⠀⠀⣠⠄⠠⠀⣿⣔⣒⣛⣧⣿⡏⠙⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⠀⠸⠈⣄⣹⣷⣙⣶⣬⣟⠿⠛⢸⣿⣿⣿⣿ ⣿⡀⢌⣛⣩⣭⣶⣾⡶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢨⣾⠋⢻⣧⠃⠇⣰⣻⣿⣿⣿⣆⡀⠻⠿⠛⠈⠻⢟⣯⡛⢿⣿⣿⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢐⢈⣅⣨⣻⡇⠀⠪⣿⣿⣿⣿⣿⣿⣿⣿⡏⢻⣿⠿⢿⣿ ⣿⣿⣦⡙⠟⠻⡿⣯⣥⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⣦⣧⣼⣿⣿⣟⣀⠀⠈⢿⣿⣿⣿⣿⢇⠀⠀⠀⠀⠴⣬⣽⣆⢹⢳⡶⠗⠂⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⣾⣿⣿⣿⣿⡇⠀⠙⣿⣿⡿⠟⠛⢙⢝⠓⠈⠛⠻⠿⠿ ⣿⣿⣿⣿⣦⡈⠀⠉⠀⠀⠀⠀⣀⣠⣠⣤⣄⠀⢠⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠻⡍⣤⣄⡤⢣⠀⠀⠰⣶⣾⣿⢋⣾⡀⠀⡀⢀⡀⠀⣤⣶⣶⣶⣄⠀⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⠣⡠⣶⣶⠿⣧⡑⢤⣤⣤⣤⣤ ⣿⣿⣿⣿⣿⣿⣦⢤⣐⣢⣾⡆⠀⢻⣿⣿⣿⣿⡘⢫⢉⠟⠛⠛⠛⢻⠀⣤⠀⠀⢈⠫⠛⠁⢹⣷⣤⡀⠀⠀⣠⣾⣿⡇⠀⠀⠀⠉⠀⠚⠿⣿⣿⡿⢧⣨⣦⣄⡉⠉⣉⠉⠁⠀⠀⠀⠀⠀⢌⢿⣦⣼⣿⠦⣻⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠾⣿⣤⣼⠿⠦⣀⠹⠟⠋⠁⣆⣺⣿⠾⢶⣶⠇⠸⠀⠟⠃⠈⠀⠀⠀⠀⠘⣿⣿⡋⠁⠈⢹⣟⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⡈⢹⣿⠛⠛⣿⡏⢰⠀⠀⣤⣴⣦⣥⢦⠱⠘⠉⣀⣴⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡜⠭⠁⠒⠈⠁⠀⠀⠀⠀⢠⢀⣿⣷⣤⣼⣿⠁⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡆⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢠⣄⡀⣃⣿⣿⣷⡾⢿⡇⢸⠀⠨⠘⠙⠉⠈⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣄⣠⣤⣶⣶⣿⣿⣿⣿⡌⠉⠉⠉⠁⠘⠛⠒⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠃⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣤⣤⣤⣤⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡟⠀⠀⠀⢹⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 467 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/04/25/Audiocasts_Shows_FLOSS_Weekly_and_mintCast.shtml Gemini version at gemini://gemini.techrights.org/n/2024/04/25/Audiocasts_Shows_FLOSS_Weekly_and_mintCast.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Audiocasts/Shows: FLOSS Weekly and mintCast⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Apr 25, 2024 * ⚓ Hackaday ☛ FLOSS_Weekly_Episode_780:_Zoneminder_—_Better_Call_Randal⠀⇛ This week Jonathan Bennett and Aaron Newcomb chat with Isaac Connor about Zoneminder! That’s the project that’s working to store and deliver all the bits from security cameras — but the CCTV world has changed a lot since Zoneminder first started, over 20 years ago. The project is working hard to keep up, with machine learning object detection, WebRTC, and more. Isaac talks a bit about developer burnout, and a case or two over the years where an aggressive contributor seems suspicious in retrospect. And when is the next stable version of Zoneminder coming out, anyway? * ⚓ mintCast Podcast ☛ mintCast_435.5_–_Pies_and_Wires⠀⇛ In our Innards section: Migrating Pihole and wireguard to an x86_64 system In Vibrations from the Ether, we have listener feedback about malicious GNU/Linux developer vulnerabilities And finally, in Check This Out, Bill discusses Fullup – The comprehensive update script for Arch GNU/Linux based systems ䷩ 𝚕𝚒𝚗𝚎 514 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/04/25/CISA_Has_a_Microsoft_Conflict_of_Interest_Problem_CISA_Cannot_A.shtml Gemini version at gemini://gemini.techrights.org/n/2024/04/25/CISA_Has_a_Microsoft_Conflict_of_Interest_Problem_CISA_Cannot_A.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ CISA Has a Microsoft Conflict of Interest Problem (CISA Cannot Achieve Its Goals, It Protects the Worst Culprit)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Apr 25, 2024, updated Apr 25, 2024 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇CISA⦈_ Yet another example (lots of that lately, e.g. [1, 2]) of people from Microsoft "speaking for" "Open Source" and for "security"! The Linux_Foundation's watered-down view of the world - wherein Bill_Gates created_computing_with_his_own_bare_hands_and_now_masters_security - must be collectively rejected. Sadly, however, CISA (for national policy) has been infiltrated by Microsofters who who_make_up_the_panels_and_set_the_agenda while the_same_is_true_in_the_'Linux'_Foundation, even_its_security-oriented subgroups. Microsoft staff now claims to speak for the Linux Foundation and one isn't allowed to call the emperor "naked". That would be a Code of Conduct violation, resulting in suspension or even expulsion. Notice what CISA has_just_alerted_about. It is a Windows_issue. As our associate put it, "would this ban Windows and the other Microsoft products out there?" Instead it is likely that CISA will spin those Windows issues as universal issues (same_problem_in_Europe). Microsofters inside CISA will probably play down reports about GooseEgg. As psydroid put it, "Europe won't have much of an IT infrastructure by them because expenses for keeping the creaky Swiss cheese Microsoft solutions in place will have skyrocketed by them -- "solutions" to no problem ever." At least some of the press coverage rightly attributes GooseEgg to Microsoft's Windows: * ⚓ State-level_actor_using_flaw_patched_in_October_2022_to_hit_Microsoft⠀⇛ A state-level actor, suspected to be from Russia and known as APT28 or Fore st Blizzard, has been using malware known as GooseEgg to exploit a vulnerability within the Windows Print Spooler service. * ⚓ CISA_Warns_of_Windows_Print_Spooler_Flaw_After_Microsoft_Sees_Russian Exploitation⠀⇛ CISA warns organizations of a two-year-old Windows Print Spooler vulnerability being exploited in the wild. We recently mentioned (in passing) that CISA had been infiltrated by some Microsofters (plural), who are now "Leading Open Source Security @ CISA" (yes, from MSFT to CISA). An associate asked about this today and later noted that "it was a rhetorical question but does raise an important observation about conflict of interest." So Microsoft now speaks for "Open Source Security"? Microsoft speaks neither for Open Source nor for security, except when it decides that it does. "Open Source loves Microsoft," Jim_Zemlin_insists. Listen to the expert*! Our associate added: "Specifically the position of Microsoft inside CISA combined with the ostensible watchdog role of the program (new conflict of interest) can be abused by Microsoft to avoid calling attention to the Windows- specific nature of ransomware and the sole solution of dropping Windows. 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Microsoft cannot keep its own security in order, so what hope for its add-ons customers?⦈ Related to this is a_new_report_about_Microsoft_profiting_from_bad_security_ (i.e._from_Microsoft's_own_failures,_as_shown_above). "Microsoft make holes through bad engineering and sloppy workmanship and instead of fixing them is allowed to sell after-market add-ons," the associate said. "In other words, they get paid more the worse their software becomes. And one potential conflict of interest is that CISA would thus become in effect a marketing arm for Microsoft, like the LEO-backed Business Software Alliance." █ _____ * Jim Zemlin does not use Open Source (he rejects it). He has openly, publicly boasts that his wife Sheela controls him. Why brag about it? To appeal to a so- called 'left'? Sheela is even more_Microsoft_funded_than_Jim. Besides, he should form his own judgement, not inherit it from some MBA that defrauds people_(Bakkt). In reality, he should not be in charge of Linux and he should not decide on anything "Open Source". He_lacks_the_necessary_credentials_and experience. This is kakistocracy that empowers the least community-attentive. Deferring to Sheela should be enough of a red flag. As if "my wife controls me" is the new "cool". Equality means not "my wife controls me" but mutual respect and cooperation on decisions. As many of our readers know already, the 'Linux' Foundation is so 'popular' that it needs to spend several millions of dollars every year purchasing positive press coverage about itself. ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢩⣚⠿⣿⠿⣯⣞⣙⣽ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡩⣽⢿⣷⣾⣿⣿⣏⣿⣯ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠂⠀⠀⠄⡀⠀⠀⠀⠀⣀⣤⣾⣷⣦⣄⡀⠀⠀⠀⠀⣀⣤⣶⣷⣦⣄⡀⠀⠀⠀⠀⣀⣴⣾⣷⣦⣄⠀⠀⠀⠀⢀⡀⠔⠊⠁⠢⢄⡀⠀⠀⠀⠀⣠⡔⠉⠓⠺⡿⣿⣿⣿⣿⣯⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⢠⠐⠈⠀⠀⠀⠀⠀⠀⠈⠑⢠⣴⣿⣿⣿⣿⣷⣿⣿⣿⣶⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡖⠛⣾⣿⣿⣿⣿⣿⣿⣶⣤⠒⠁⢀⣁⢰⣶⣴⣿⣿⣶⣤⣶⢿⣿⣷⢠⣤⣤⡌⠙⠙⢿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠠⣈⡟⣶⣿⣿⡻⣽⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⢸⠛⡞⠛⣿⣿⣿⣿⣿⣶⣴⣼⣿⣿⣿⣟⣿⣿⣿⡟⠋⢸⠛⢛⣛⣟⠻⠛⣣⣶⣾⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⣠⣼⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⢸⣤⣘⠿⣷⡞⠹⠿⣿⣾⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⡆⠀⣠⠀⣾⣿⣿⣟⣟⣿⣿⠉⣽⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⠲⠶⠭⣌⣴⠾⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⣾⣟⣽⣷⣯⣿⣧⣀⣀⣀⣀⣀⣀⣸⣿⣿⣭⣭⣼⣀⠉⠀⣸⣻⡿⡿⠉⠉⣈⣀⠀⠙⢿⡿⢿⣿⣿⣾⣿⣤⡞⠘⣿⣿⣿⠟⣿⣉⢛⣻⢛⢺⡉⠹⣿⣿⣿⣳⡜⠂⠠⠤⢤⢷⢈⣾⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠨⣿⣾⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠿⠋⠁⠀⠀⠑⠀⠀⠀⠀⡄⠀⠒⠉⠀⠈⠙⠻⠿⣿⣶⡿⠟⠛⠁⠀⠈⠑⠻⢿⣭⣤⣷⠾⠛⠛⠛⠋⠻⠤⣁⢉⠉⣛⣿⣿⣿⡿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠈⠻⠿⣾⠿⠟⠁⣉⣈⡁⣈⡀⢀⣀⣀⣀⣀⣁⣉⣀⢀⣀⣀⢀⣀⣀⢀⣀⢀⡀⣀⣀⡀⣀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣾⠀⠀⠀⠀⠀⣴⡄⠀⠀⣿⣿⠈⠹⣛⠎⠉⢿⣿⠿⢙ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠇⣿⣷⣿⣯⢿⡿⠇⣿⢿⡟⣾⡇⣭⣽⣿⠿⢸⡿⣾⡇⣿⠉⣉⠹⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣲⣆⣰⣶⣶⠦⠒⠀⠀⢻⢬⠀⠠⠗⠂⠀⣾⣿⣶⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢛⠃⠛⠘⡉⠋⠙⠛⠋⠛⠈⠛⠈⠛⠋⠉⠛⠛⠘⠃⠈⠃⠉⠛⡁⠀⠋⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⣿⣿⣿⣿⣿⣴⠀⠀⠀⠈⣷⣀⠀⡂⠀⢠⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡏⠛⢰⡏⢹⡇⣿⣧⣿⣿⣿⣿⣼⣿⢸⡇⢸⡗⣿⣾⡏⣿⣷⣿⠙⠃⣼⣿⡌⢹⡏⢹⡇⣾⠋⣿⣼⣿⣼⡇⢿⣭⣏⣠⣦⣉⠉⠉⣭⣉⠏⠀⠀⣀⣤⣾⣿⣧⣠⣤⡿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⠛⠉⠳⠞⠃⠛⠙⠛⠛⠛⠙⠋⠛⠘⠳⠟⠑⠃⠙⠃⠛⠋⠛⠞⠓⠋⠙⠓⠘⠃⠘⠃⠙⠷⠛⠙⠃⠙⣇⣷⣶⣟⣿⣿⣿⣿⣶⣴⠀⣠⣴⣾⣿⠛⠋⠉⢿⣷⣦⢾⡿⠛⢩⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣦⣰⣶⣰⡞⢳⡄⣶⣆⣶⠒⣿⠒⣾⣆⣶⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠚⠋⢲⣿⣿⣿⡇⢠⠀⣰⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠹⠏⠿⠸⠧⡾⠃⠿⠙⠿⠀⠿⠀⠿⠍⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣟⣯⠄⠀⠀⠀⠙⣿⣿⡇⢸⣶⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⣶⣲⢶⡠⣖⠦⠶⠂⠖⡲⣴⣶⠲⠦⢶⡲⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠒⠖⠀⣶⠀⠛⠿⡇⢸⣿⣿⣿ ⠀⠀⠀⠀⠀⢀⢀⠐⣀⣤⣀⠀⠀⠀⠀⢀⡀⠄⠀⠀⠤⣀⠀⠀⠀⠀⠀⣠⣤⣶⣶⣤⡀⠀⠀⠀⠀⢀⣀⣤⣶⠤⣄⡀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣏⡀⠀⠀⠀⠁⣀⡠⡒⠉⠚⢿⣿⣿ ⠀⠀⠀⠀⠈⠉⢀⣤⣾⣿⡿⠛⠢⡤⠂⠁⠀⠀⠀⠀⠀⠀⠑⠦⣤⣶⣿⣿⣿⡿⠿⣿⣿⣷⣦⣤⠆⢩⣶⣿⣟⣷⣕⡿⣗⢢⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⢷⣤⡤⣾⠁⠜⣷⣦⣤⡀⡏⣿ ⠀⠀⠇⠀⣰⣾⣿⣿⣿⣿⣷⡄⠀⡇⠓⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣮⣻⣟⣧⡌⣿⣿⣿⣿⣿⣠⣼⣿⣿⣿⣿⡟⡿⠀⢹⣿⣿⣿⣿⣿⢫⣿⡇⡄⣽⡉⣿⣿⠋⠈⠉⢿⣿⣿⣟⣻⣿⡟⠟⣿⡿⠈⠟⢿⠧⠀⠈ ⠀⠀⠀⠀⠺⡿⣿⣿⣿⣿⠿⠃⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠉⠉⠻⣿⣿⣿⣿⣽⣟⣻⣿⡟⣿⣿⣿⣿⣿⣷⣷⣄⣼⣿⡿⡿⢿⣛⣻⣿⡗⠳⢻⠹⣿⣟⣴⡤⠀⣿⡇⠏⠗⠺⣿⠀⠆⠀⠀⠀⠨⠀⠀⠀⠠ ⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⢿⠿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿ ⣿⣿⣇⣎⣄⣇⣐⣒⣰⣕⣂⣃⣐⣐⣨⣰⣐⣿⣐⣺⣀⣀⣰⣀⣶⣀⣒⣀⣸⣇⣄⣇⣀⣀⣨⢐⣨⣿⣰⣘⣀⣸⣇⣒⣀⣡⣡⣰⣈⣿⣀⣸⣀⣀⣒⣇⣃⣇⣆⣇⣢⢁⣿⣇⣰⣆⣿⣐⣂⣰⣇⣂⣅⣀⣰⡚⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣾⣿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣇⠄⡇⠆⣿⡌⡀⢰⢰⢘⢄⢁⢾⡇⡆⣇⠆⡇⠆⣁⠄⣿⡆⡁⢆⡇⣾⡇⡆⠆⠔⣿⠢⠸⠰⢸⠰⢸⣹⡰⢸⢰⢸⠠⢺⣇⠖⡇⠇⡇⢔⡆⡁⢆⡇⡄⡎⡁⢨⢰⡡⢘⡎⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣇⣨⣩⣋⣋⣍⣭⣫⢻⣝⣉⣱⣉⣋⣟⣿⣿⣿⣏⣙⣙⣹⣟⣝⣝⣉⣉⣈⣹⣉⣉⣹⣙⣍⣍⣝⣯⣩⣯⣫⣫⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣧⣤⣤⣬⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣧⣬⣤⣦⣤⣤⣿⣬⣤⣼⣵⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣧⣤⣤⣬⣤⣤⣷⣤⣼⣤⣵⣦⣧⣴⣤⣤⣷⣤⣼⣤⣮⣴⣥⣆⣴⣅⣧⣴⣧⣬⣬⣤⣮⣧⣤⣼⣬⣦⣧⣤⣤⣤⣤⣧⣦⣭⣤⣤⣥⣬⣎⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣧⣦⣤⣧⣤⣤⣖⣦⣤⣤⣴⣼⣥⣮⣴⣧⣦⣤⣤⣥⣼⣤⣧⣤⣴⣼⣦⣬⣤⣤⣬⣤⣮⣼⣤⣬⣤⣤⣬⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⣿⠿⠿⠿⡿⠿⠿⢿⠿⠿⠿⡿⠿⠿⠿⠿⢿⢿⠿⠿⠿⡿⠿⠿⠿⠿⠿⠿⡿⠿⠿⢿⠿⠿⠿⠿⠿⡿⠿⠿⠿⠿⠿⡿⠿⠿⠿⠿⢿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⠾⢿⠶⠶⠿⠶⡶⡾⠶⠶⠶⠷⠿⢷⢶⠷⠶⠾⡶⠾⢶⠷⢷⢶⣶⠶⠶⢾⠷⠾⠶⢿⠾⠶⡶⢷⠶⡿⠶⡶⠶⠶⠶⢷⠶⠶⠶⠶⡶⠷⠶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡷⠷⢾⠶⠶⠿⢶⠶⠷⢶⠶⠷⠾⢶⠾⠶⠶⠾⠷⢿⠶⠾⠾⣾⠾⠶⠷⠶⠾⢶⠶⠾⠾⡶⢶⠶⠾⠶⣷⠶⠷⠶⠾⠷⣾⠶⠷⠶⠾⠷⢶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⠶⠶⠶⡶⠶⠿⠶⢶⠾⠶⠶⡷⢾⠶⠶⣶⠶⡶⠾⠶⠶⠶⠷⠶⠾⠶⡶⠶⠾⠶⠷⡶⠷⠶⠶⡶⠷⣾⣿⣶⣶⣷⣶⣾⣶⣶⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣷⣶⣶⣶⣿⣶⣶⣶⣿⣶⣾⣾⣷⣾⣶⣾⣷⣶⣷⣷⣷⣶⣾⣶⣶⣷⣷⣷⣶⣶⣾⣶⣷⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡏⡻⢛⡛⡟⣛⠛⡛⣛⢛⠛⣟⣋⢋⡻⣋⣟⢹⢻⠟⢋⣛⢻⡛⣿⠛⣏⢟⣛⠛⣙⣛⡟⢛⣻⣛⣻⣛⢟⣛⡛⢛⡛⡟⣛⢟⣻⡛⡟⠛⢋⡛⣛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⣛⣿⡛⣟⣫⣋⡛⣻⣛⣋⠛⣛⢻⣛⠏⡛⢛⠙⣋⢟⡛⣿⢝⢛⢟⠛⣟⡛⡛⣟⡛⣛⢟⣛⣻⣛⢏⢻⡛⡛⢟⡛⣛⣟⣟⣉⢟⢟⡻⡛⡏⣙⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡏⠍⡟⣛⢛⡻⣋⢟⣛⣻⣛⣿⣛⠟⣛⡻⣟⡻⡟⣛⡏⡏⡟⣛⢟⣛⡛⣻⣛⣿⣛⣋⣻⢟⣛⡻⣙⣛⣻⢻⡛⢟⣙⢟⡛⢿⣛⡛⡟⣛⢛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡟⡛⢛⡟⡛⢻⠛⠛⠛⠛⣛⣛⠛⢻⢛⢛⡛⢛⠛⡟⠛⣛⡛⣛⢻⡛⣻⠛⠛⠛⠛⡛⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣧⣤⣯⣭⣭⣤⣧⣤⣾⣴⣾⣨⣥⣬⣯⣽⣦⣭⣽⣯⣺⣭⣽⣯⣭⣍⣯⣿⣭⣭⣵⣦⣼⣤⣼⣭⣯⣼⣴⣥⣧⣦⣷⣭⣭⣭⣬⣬⣺⣯⣽⣯⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣯⣭⣿⣯⣯⣥⣿⣭⣥⣽⣭⣭⣽⣭⣯⣽⣭⣯⣯⣭⣬⣯⣽⣼⣷⣤⣗⣥⣭⣭⣥⣼⣭⣧⣧⣭⣭⣿⣽⣬⣧⣦⣾⣩⣭⣯⣭⣭⣏⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣯⣽⣤⣇⣭⣧⣴⣤⣧⣦⣯⣧⣬⣽⣧⣶⣿⣤⣭⣏⣭⣵⣯⣬⣿⣯⣭⣴⣽⣭⣭⣭⣧⣹⣩⣿⣥⣯⣽⣽⣽⣽⣭⣭⣥⣥⣭⣽⣯⣍⣥⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣧⣴⣿⣭⣽⣯⣭⣥⣭⣻⣭⣽⣯⣥⣭⣝⣧⣭⣽⣽⣭⣧⣥⣭⣽⣬⣬⣭⣏⣧⣤⣥⣿⣭⣭⣭⣉⣭⣭⣽⣽⣭⣽⣥⣯⣭⣥⣼⣭⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣯⣽⣯⣬⣭⣧⣥⣧⣬⣿⣭⣯⣭⣭⣏⣭⣽⣿⣭⣯⣿⣁⣀⣋⣙⣛⣉⣘⣂⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 686 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/04/25/Daniel_Pocock_elected_on_ANZAC_Day_and_anniversary_of_Easter_Ri.shtml Gemini version at gemini://gemini.techrights.org/n/2024/04/25/Daniel_Pocock_elected_on_ANZAC_Day_and_anniversary_of_Easter_Ri.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Daniel Pocock elected on ANZAC Day and anniversary of Easter Rising (FSFE Fellowship)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Apr 25, 2024, updated Apr 25, 2024 Reprinted with permission from Daniel_Pocock. 24 April is the anniversary of the Easter Rising. That is the day that Irish republicans bravely rose up against foreign control. The Irish leaders were captured and killed. 25 April is ANZAC Day. It is the anniversary of various battles, most notable of which is Gallipoli. The Gallipoli landings, like the Easter Rising, are notable for a significant loss of life. ANZAC Day has evolved to commemorate not only those who lost their lives at Gallipoli but all the sacrifices made by those who serve in uniform for Australia and New Zealand. I went to look at the National_Archives_of_Australia_online_search to find out about ANZACs with the name Pocock. This story caught my eye: When the FSFE Fellowship voted for the Irish-Australian Daniel Pocock in 2017, voting finished at 11:05 UTC on 24 April 2017. That is the 101st anniversary of the Easter rising. FSFE announced_Pocock's_victory_the_following_day,_25_April_2017, ANZAC Day, as we can see in the screenshot below. FSFE headquarters are in Berlin, Germany and the majority of members appear to be Germans. After the community voted for an Irish-Australian, the management removed_the_elections_from_the_FSFE_constitution. There hasn't been another election since. Simply mentioning the ANZACs is akin to standing on the shoulders of giants. Nonetheless, Pocock successfully discovered a lot of evidence of_bad_faith, corruption_and_deception_by_the_FSFE_management. The Nazi.Compare_site_was_created_to_continue_the_story. 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Daniel Pocock, FSFE, ANZAC Day⦈ Read more of Daniel Pocock's blogs_about_visits_to_ANZAC_sites_around_the world. █ ⣿⡍⢸⡉⣀⢈⣙⢉⠉⣿⡈⡉⠉⣉⣉⡊⡈⠉⣻⣏⣹⣉⡀⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠌⠭⠹⢽⠩⠍⠩⠭⠯⠏⠭⠉⠭⢽⠭⠩⠍⠩⢭⠯⠉⠭⠩⠭⣽⠍⠩⠍⠭⢯⠯⠉⠭⠩⢹⠩⠉⠉⠭⠯⠫⠭⠉⠩⠹⠍⠉⠉⠉⠉⡯⠭⠍⠉⣭⠭⠭⠭⠭⠭⠭⣭⣭⣭⣭⢽⠉⠉⠉⠉⠉⠉⠉⠉⠭⠉⣿⣿ ⠁⠈⠘⠸⡸⣷⡶⠉⠃⡇⠁⠀⠈⠹⢀⠈⠀⠀⠉⠃⠀⠀⠈⠈⢹⠀⠀⠀⠁⠋⠃⠀⠀⠐⢘⠀⠀⠈⠉⠃⡄⠁⠀⠀⠀⢀⠀⠀⠀⠈⠇⡀⠀⠀⠛⢓⠚⠒⠒⠚⠒⡓⠛⠛⠛⢸⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⣿⣿ ⡀⢀⢘⢀⡀⠙⢃⠀⠀⠃⠀⠀⠀⠈⠀⢀⠀⠀⣠⡃⠀⡀⢀⢀⣼⠀⠀⠀⡀⣡⡃⠀⠀⢀⢨⣀⠀⠀⣀⡃⣁⡀⠀⢀⣘⢀⢀⠀⠀⣀⡇⡀⡀⠀⢀⣼⠀⢀⠀⡀⣠⡇⠀⠀⢀⢈⣐⠀⠀⠀⡃⣇⡀⠀⢀⠀⣿⣿ ⠀⠂⢘⢾⠐⠀⠐⠀⡓⠀⠀⠀⠂⠀⠀⠐⠀⠐⠂⡃⠆⠂⠐⠒⢸⠐⠀⠀⠒⠇⡃⠂⠂⠐⢾⠐⠐⠐⠀⡳⡇⠂⠂⠒⢘⠴⠐⠀⠐⠂⡗⠆⠀⠀⠒⢸⠀⠀⠀⠀⠐⡇⠀⠀⠀⠠⢀⠐⠐⠀⡢⡄⠀⠂⠂⠀⣿⣿ ⠀⠀⢈⢈⠀⠀⠀⠀⡁⡀⠀⠀⠀⢨⠀⠀⠀⠀⠀⡁⠀⠀⠀⠀⢸⠀⠀⠀⠀⡁⡁⠀⠀⠀⢈⠀⠀⠀⠀⡁⡁⠀⠀⠀⢈⠀⠀⠀⠀⠀⡅⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⡇⠀⠀⠀⢈⠀⠀⠀⠀⡁⡁⠀⠀⠀⠀⣿⣿ ⠀⣀⣀⣈⡈⠈⠁⠀⠁⠁⠁⠉⠈⠈⠈⠈⠀⠁⠁⠁⠉⠀⢀⣈⣈⣀⣀⣀⣀⣁⣁⣀⣀⣀⣈⣈⣀⣀⣀⣐⣁⣀⣀⣈⣈⣊⣀⣀⣀⣁⣑⣁⣀⣀⣈⣈⣂⣀⣀⣀⣁⣁⣀⣀⣀⣈⣈⣀⣀⣀⣐⣁⣀⣀⡀⠀⣿⣿ ⠀⣿⣿⣿⣇⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿ ⠀⣿⣿⣿⡿⡹⣛⠻⡋⣿⢹⠙⠟⢻⡟⠻⠋⢛⠛⡛⠟⠛⣻⢟⢛⢹⡏⡏⠻⠛⣿⠛⠏⠛⠛⣛⢹⠙⡛⢛⢻⣋⢟⢻⣻⣿⣿⣿⣿⣿⠿⠻⢻⠻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿ ⠀⣿⣿⣿⡷⠷⠾⡶⠷⠿⠾⣿⣷⠾⢷⣷⠷⣾⣶⣷⣾⣶⡿⣷⢾⣾⣷⠷⣾⢶⣿⣾⣶⣾⣶⡶⣾⢶⣷⣾⣾⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣾⣾⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿ ⠀⣿⣿⣿⣇⣽⣪⣀⣭⣨⣵⣠⣿⣨⣅⣄⣀⣗⣪⣡⣳⣀⣇⣺⡀⣆⣿⣫⣘⣦⣿⣠⣃⣌⣀⣇⣿⣀⣔⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣭⣭⣤⣬⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⣉⣋⣏⣋⣩⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠛⡟⣛⡛⠛⠛⡟⢻⢛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿ ⠀⣿⣿⣿⣧⣬⣯⣭⣯⣽⠇⠸⣼⣭⣯⣭⣽⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿ ⠀⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿ ⠀⣿⣿⣿⣇⣡⣅⣐⣢⣃⣐⣶⣹⣠⣀⣀⣘⣄⣘⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣴⣶⣿⣾⣶⣦⣬⣿⣷⣤⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿ ⠀⣿⣿⣿⡿⡿⠛⠛⢻⣛⠛⠛⠛⡟⠛⢛⡛⠛⠛⡻⠛⠛⠛⠛⠛⡟⡛⠛⠻⢛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣛⣏⣛⣽⣛⣛⣯⣛⣛⣛⣛⣛⣏⣙⣟⣟⣏⣛⣿⣿⣿⣿⣿⡇⠀⣿⣿ ⠀⣿⣿⣿⣯⣩⣙⣉⣯⣙⣉⣹⣉⣛⣩⣛⣙⣫⣙⣋⣟⣹⣉⣋⣏⣛⣏⣩⣯⣋⣉⣍⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣯⣽⣽⣹⣬⣽⣭⣍⣭⣭⣭⣽⣯⣭⣽⣭⣯⣯⣭⣥⣿⣿⣿⣿⡇⠀⣿⣿ ⠀⣿⣿⣿⣯⣯⣭⣭⣼⣭⣬⣭⣽⣽⣥⣽⣭⣾⣯⣭⣯⣭⣼⣽⣿⣭⣮⣭⣯⣯⣯⣯⣽⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣤⣴⣬⣤⣤⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿ ⠀⣿⣿⣿⡧⢤⢧⠴⠤⡥⡦⢦⢼⢤⠥⡤⢴⠴⡬⠤⣤⡶⣶⢤⠤⠤⡤⢤⠦⢴⠾⢿⡿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣩⣭⣭⣉⣹⣽⣩⣍⣉⣭⣽⣭⣭⣉⣯⣏⣫⣉⣽⣿⣿⣿⣿⣿⡇⠀⣿⣿ ⠀⣿⣿⣿⡷⠷⠶⠶⢶⠲⠲⡷⠾⢶⠲⠶⠛⠒⡗⠺⢲⠿⠖⢶⡷⠶⣶⢺⠷⢶⠶⢾⣶⣿⡟⠳⠐⠶⠀⠀⠀⠀⠀⠀⠀⠀⢶⠀⢸⣿⢤⣶⢬⡤⣧⣤⣧⣥⣤⣧⣷⣦⣦⣤⣦⣤⣼⡴⣤⣿⣿⣿⣿⣿⡇⠀⣿⣿ ⠀⣿⣿⣿⡟⠓⡛⠛⣟⠟⢛⠛⡛⡛⣞⠛⠛⠛⡛⡛⡛⠛⡻⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀⢸⣿⠶⠶⡶⠶⣶⢶⡗⠾⢶⠲⠾⠶⠶⢾⠷⠿⢶⠷⠶⠿⣿⣿⣿⣿⡇⠀⣿⣿ ⠀⣿⣿⣿⡟⠿⠿⠿⡿⠿⠟⠿⢿⠟⠿⠿⠿⠿⠿⡟⠟⠻⠿⠿⠟⠿⠿⠿⡿⠻⠿⠿⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠛⠛⢿⠛⢻⠛⡛⢻⠛⡟⠛⠟⢛⠛⢾⢛⠟⡛⡟⣚⢿⣿⣿⣿⡇⠀⣿⣿ ⠀⣿⣿⣿⡟⡟⡛⡟⠛⠛⠛⢻⠛⠟⢛⠛⡛⢛⠛⢻⠛⠛⢟⠛⠛⡛⢾⡛⢻⣓⢛⠛⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣛⢛⣟⣛⣟⣛⣙⣟⣟⣯⣝⣛⣛⣛⣛⣙⣿⣋⣻⣛⢛⣿⣿⣿⡇⠀⣿⣿ ⠀⣿⣿⣿⣏⣉⣋⣟⣉⣋⣋⣻⣉⣙⣩⣛⣍⣹⣉⣩⣙⣋⣍⣍⣙⣛⣹⣉⣹⣉⣉⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣯⣭⣯⣭⣽⣷⣭⣽⣭⣭⣿⣥⣭⣡⣭⣯⣬⣧⣭⣭⣿⣿⣿⣿⡇⠀⣿⣿ ⠀⣿⣿⣿⣯⣽⣧⣯⣧⣬⣿⣭⣬⣯⣯⣭⣿⣭⣤⣍⣭⣭⣽⣯⣴⣧⣶⣤⣧⣧⣽⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢤⢤⡤⣾⣤⣶⣤⣬⣤⣤⣤⣤⣾⣤⣥⣦⣤⣥⣤⣼⣿⣿⣿⣿⡇⠀⣿⣿ ⠀⣿⣿⣿⣧⣦⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣶⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 790 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/04/25/IRC_Proceedings_Wednesday_April_24_2024.shtml Gemini version at gemini://gemini.techrights.org/n/2024/04/25/IRC_Proceedings_Wednesday_April_24_2024.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ IRC Proceedings: Wednesday, April 24, 2024⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Apr 25, 2024 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Prairie_bush_fire⦈_ 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇GN 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇GNOME_Gedit⦈_ #techrights_log #boycottnovell_log 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇GN 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇GNOME_Gedit⦈_ #boycottnovell-social_log #techbytes_log =============================================================================== The corresponding text-only bulletins for_Tux_Machines and for_Techrights contain all the text. Enter_the_IRC_channels_now ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠉⠀⠀⠀⠀⠀⠀⠈⠉⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡹⢿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⠀⣠⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿ 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⠀⠺⠟⠀⠀⠀⣐⠻⣿⣿⣿⣿⡿⠟⢋⣥⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠉⢳⡘⠄⠀⠀⠀⣿⣿⣿⢿⣿⣟⢈⢈⣿⣿⣿⣿⣾⣿⢰⠿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠸⣿⣿ ⠀⠀⠀⠀⠀⠀⠉⠀⠀⠋⠙⠉⣵⠾⠎⢿⠻⠿⠿⠿⢿⣿⠛⠛⠿⠋⠈⠉⠉⠉⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠸⣿⣿⠀⠘⠿⣿⡟⢿⢿⡏⢀⢦⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠙⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠉⠁⠀⠀⢙⠀⠃⠉⠉⠙⠛⠉⠙⠿⣿⡿⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀ ⣿⣷⠀⣾⣶⣶⣶⢠⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠀⣶⣶⣶⠄⣠⣤⣤⠀⢠⣤⣤⣤⣤⣤⠀⢠⣤⣤⣤⣤⣄⣀⣤⣀⣀⣀⣀⣀⣀⣀⡀⠁⡀⢀⣀⣀ ⠙⡟⠀⠈⠉⠛⠁⠘⠋⠀⠈⠻⠿⠿⠿⡿⢿⣛⠻⠛⠻⠿⠿⠿⠛⠋⠁⠀⠀⠈⠿⠿⠿⠿⢿⣿⠿⠿⠻⠿⠏⠀⠛⠛⠛⠀⠈⠉⠻⠀⠘⠋⠉⠉⡿⠋⠀⠘⠛⠻⠿⠿⠟⠛⠋⠉⠉⠉⠛⠛⠛⠉⢡⠀⠇⠸⠛⠛ ⢠⠃⠀⠀⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⣀⣈⠉⠀⢀⡚⡄⠠⣴⣿⡂⣶⣿⣶⣶⣿⣿⣶⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀ ⢙⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠸⣿⣿⠿⣿⠀⠰⣿⡿⠀⢰⠻⣿⠿⠿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣶⢶⣶⣶⡆⠀⣦⣴⣦⠀⢠⣠⡄⠀⢠⣾⣶⣜⣿⠁⠀⠀⡤⠰⠼⢿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀ ⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠀⠀⠀⠛⠛⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠈⠁⠀⠁⠀⠀⢠⠇⠀⡟⠙⠛⠁⠈⢫⡇⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢀⡔⠠⠂⠀⢀⡀⠀⢰⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⢀⣀⡆⠃⠀⠀⠈⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ䷩ 𝚕𝚒𝚗𝚎 1049 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/04/25/Joerg_Ganneff_Jaspert_Dalbergschule_Fulda_Debian_Death_threats.shtml Gemini version at gemini://gemini.techrights.org/n/2024/04/25/Joerg_Ganneff_Jaspert_Dalbergschule_Fulda_Debian_Death_threats.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Joerg (Ganneff) Jaspert, Dalbergschule Fulda & Debian Death threats⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Apr 25, 2024 Reprinted with permission from disguised.work. We found the following in_IRC_logs_from_2009: : Mr. Joerg (Jörg) Jaspert AKA Ganneff, I'm coming to Fulda, Hessen (36037). Be sure to meet me at the train station! If you don't show up, I will murder you and your entire family. I'll murder you; take my words literally. You picked the wrong person to piss off. Why is Fynn so mad? We found an earlier comment in the chat session: : boy, somebody took having their package rejected by ftpmaster pretty personally. Debianists loudly encourage people to do work creating new packages and fixing bugs. Jaspert is a member of two different teams that have a significant reputation for gatekeepism, the FTP Master team and the Debian Account Managers (DAM). People follow all the documentation and procedures to contribute a piece of work to Debian. Sometimes they spend hours or days on such a task. When they upload their contribution, the gatekeeper leaves it sitting in a queue for a few weeks and from time to time they simply reject the contribution with an opaque one-line response. In other cases, we've heard of people contributing a package in the belief that their name will be included in the list of Debian Developers. The FTP Masters (including Jaspert) accept the new package but they don't accept the person. These impolite responses are totally out of order when you consider the vast amount of work that some people have done to prepare their package for inclusion. For some people, they have the feeling that their work is being plagiarised because their name isn't included in the list of Debian Developers. It is really disturbing to see that these angry people are being attracted to Jaspert's town, Fulda, in Germany. News has recently circulated about Jaspert's role in the school council at Dalbergschule in Fulda, Germany. Local magazines published a photo of him in a Debian t-shirt with_other_parents_Claudia_Beck_and_Ina_Riechert. 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Claudia Beck, Jörg Jaspert, Ina Riechert⦈ Do the other school leaders know that Jaspert is engaged in these online practices where he is exploiting people's labor and pissing people off? How would they feel about Jaspert attracting these angry victims to their village? █ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⣀⣤⣤⣤⡈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣸⠛⠿⡿⢿⣇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⣷⡄⢴⣷⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡅⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠀⠐⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠻⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⠁⠹⣆⣀⣹⣿⠇⠉⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣰⣶⣦⡈⠀⠏⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣭⣿⡿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠈⠛⠙⠁⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⢘⠉⣹⡋⠃⠀⠈⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⡏⠸⠋⢹⣿⡷⠀⠀⠠⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣀⣿⣩⣻⣿⣼⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⢀⠔⠛⠉⠙⠲⣦⡀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⡇⡀⠀⠚⠛⠋⠀⠀⠀⠀⠈⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠽⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⡏⠀⢠⠊⠁⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠙⠀⠀⠀⣿⠇⠀⠀⠀⠀⠬⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⠿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠳⠤⠔⠊⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠏⠀⠀⢀⣠⣶⡗⠀⠀⠀⠀⠀⠀⠀⠽⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠷⠛⠋⠉⠀⣿⣿⣿⣿⠀⠈⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠈⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⣴⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠇⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⢾⣿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⡀⠀⠀⠀⠀⠀⣠⣤⣄⢀⡀⠀⠀⣽⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣝⣓⣦⡶⣞⣻⣿⣿⡿⠁⠁⠀⣐⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠒⠭⠭⠉⠻⠋⠀⠀⠀⠀⣽⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡆⠀⢀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡿⣿⠇⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⣤⣀⡀⢆⡀⠀⠀⠀⠀⠀⠀⠀⠀⣐⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠂⠻⣿⣿⡎⠀⢔⣷⠀⠀⠀⠠⣦⣜⡷⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⢹⣿⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⡌⠈⠙⠉⠙⠁⡀⠀⠀⠉⣿⣿⡿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⣴⣷⣶⣾⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⣘⠀⠀⠀⠀⠀⠈⠀⠀⡀⠘⠸⣿⣛⢮⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 1160 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/04/25/Meme_Arvind_Krishna_s_Business_Machines.shtml Gemini version at gemini://gemini.techrights.org/n/2024/04/25/Meme_Arvind_Krishna_s_Business_Machines.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Meme] Arvind Krishna's Business Machines⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Apr 25, 2024 How much longer can shareholders wait for Arvind Krishna to do the right thing? He is harming Red Hat in a number of ways (he doesn't understand it) and Fedora users are running out of patience (many volunteers quit years ago). 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇IBM falls on weak consulting sales, overshadowing HashiCorp deal ⦈ 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇IBM CEO Arvind Krishna in 2023. Christopher Goodney/ Bloomberg via Getty Images. Didn't earn it (DEI). Didn't earn enough, either. Now layoffs.⦈ ⠛⠻⢻⢛⠟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⡿⢿⣿⠿⠿⣿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠿⡿⡿⢿⣿⣿ ⣤⣼⣼⣴⣵⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣤⣥⣥⣿⣴⣤⣯⣥⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣶⣶⣷⣾⣿⣷ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⢿⠿⣿⢿⣿⠿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢨⠝⢠⢫⢸⣯⠨⡉⡇⢸⣙⣿⢹⢽⢩⢹⣏⢏⢯⢙⠉⡉⢘⢽⡏⢯⢩⢝⢩⢹⡙⡿⠏⢸⢸⢹⢩⢹⠙⣹⣏⠩⡋⡇⠛⣹⡉⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⢿⣿⣿⣿⣿⢿⣿⣿⣿⣿⡿⣿⢿⣿⣿⣿⢿⣿⢿⢿⣿⣿⣿⣿⣿⣿⣿⡬⣾⣿⣿⡿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠰⣡⢁⡡⢼⢰⠄⡃⡆⡗⠸⠰⢸⠶⣡⢣⢣⠸⢰⠸⠐⢼⡇⣿⢘⠆⠧⢺⢰⠱⢇⠻⢿⠰⡁⢶⠰⢸⡏⠆⡇⢬⠲⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡿⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣧⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣸⣿⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣙⣿⣿⣿⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡟⠉⠙⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⢻⣿⠟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⣿⣿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⣿⣿⣿⣿⣿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣷⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡅⠈⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠉⠉⠉⢹⣿⣿⣿⣿⡏⠉⠉⠉⠉⠉⢹⣿⣿⣿⣿⡏⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⡟⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡷⠶⠶⠶⠶⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣷⣶⣶⣶⡶⠶⠶⠶⠶⠶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠁⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠛⠛⠛⠛⠻⠟⠛⠛⠻⠿⠿⢿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠛⠛⠻⣿⠟⠛⠛⠛⠛⠛⠛⠛⢻⡿⠛⠛⠛⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣄⣤⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣠⣀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣽⣿⣿⣿⣿⣿⣧⣀⣀⣀⣀⣠⣿⣦⣀⣀⣀⣀⣀⣀⣠⣼⣧⣀⣀⣄⣀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠉⠉⠉⢹⣿⣿⣿⣿⡟⠉⠉⠉⠉⠉⢻⣿⣿⣿⣿⡏⠉⠉⠉⠉⠙⣿⣿⡋⠉⠉⠉⠉⠉⣻⣿⡟⠉⠉⠉⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣿⣿⣷⣶⣶⣶⣶⣶⣿⣿⡷⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣇⠀⠀⢀⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⣿⣿⣿⣿⣿ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⢸⢰⠉⡇⡏⣷⠀⣿⣽⡇⡯⠇⣋⡇⢸⠁⡏⣷⢹⢸⠈⡏⣿⢹⠀⣿⢸⡇⡗⠂⡇⢸⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣭⣭⣭⣍⣉⣉⣉⣉⠉⠉⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣓⣪⣜⣬⣒⣃⣃⣛⣴⣛⣺⣧⣓⣣⣓⡓⠘⣀⣃⣛⣼⣜⣀⣓⣹⠸⡄⢛⣚⡁⠓⣂⣃⣸⢐⣺⠟⠛⢻⣿⡿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢰⣿⣿⣿⣿⣿⣿⣿⡿⠗⠶⠌⣿⠇⣹⣿⣿⣶⣿⣿⠀⠀⠸⣿⠇⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⠉⠉⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⣸⣿⣿⣿⣿⣿⣟⣃⣀⠀⠀⠀⣸⠀⣿⣿⣿⣿⣿⡏⠀⠀⢠⡏⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⢳⣿⠿⠛⠉⠉⠉⠙⠋⠉⠀⠀⠀⢹⠂⣿⣿⣿⣿⣿⠇⠀⠀⣾⣿⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣢⠀⠀⢤⡄⠀⠀⣀⣴⡀⠀⠀⠀⢰⣿⣶⣿⣿⣿⣿⣿⣶⣶⣶⣿⣷⣶⣶⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣇⠀⢀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠋⠉⠉⠛⠛⠻⠿⠂⠀⣴⣿⠟⠫⢿⣿⢷⠐⠀⠀⣸⣿⣽⣿⣿⣿⣿⡿⠿⠿⢿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⡿⠟⠋⠉⠉⠉⠉⠉⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⣠⡖⠈⠛⠁⠠⠦⠄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⣼⡗⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠉⠉ ⠀⠀⠀⠀⠀⠀⠀⣀⣼⡟⠋⢻⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠈⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⢿⣿⣿⣿⣿⣀⣀⣠⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀ ⠀⠀⠀⠀⢴⣾⣿⣿⣿⣏⣀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣾⣦⡀⣄⠀⠀⠀⠀⠀⠀⣠⡞⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠰⢿⣿⣿⣿⣿⣿⣿⣿⢿⠀⢀⡀⠀ ⠀⠀⠀⠀⣀⣉⣀⡀⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣟⣁⠀⢈⠉⠀⠈⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣾⣶⣿⣷⣤ ⠀⠀⠀⠈⠁⣀⠀⠔⢂⢀⠄⠀⠀⠀⠀⢀⣤⣴⠂⠀⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣜⣧⣽⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⡛⠛⣛⠭⠭⠿⠿⢛ ⠀⠀⠀⠀⠈⠁⢀⡤⠈⠈⠀⠀⠀⢀⣴⣿⣿⣿⠀⢸⣿⣿⠏⠀⠀⠀⠀⠀⠀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣯⣵⣿⣷⣶⣷⣤⣀⣀⡀ ⠀⠀⠀⠀⠀⠀⢈⣵⣿⣷⣤⣀⣴⣿⣿⣿⣿⡏⠀⢸⣿⠏⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣷⣽⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⣿⠏⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣼ ⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⡟⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣸⣿ ⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠘⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢠⣿⣿ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⣿⣟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣾⣿⠟ ⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠼⢿⡿⠿⠿⠿⢿⡟⠿⢿⡿⢿⡿⠿⢿⠿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⡿⣿⠵⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠛⠿⢿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⡏⢹⡆⡇⣿⠙⡆⣷⢸⢘⡍⡏⣾⡇⣏⡿⡸⡏⢸⣉⡇⢸⡄⡇⠀⣿⡉⢸⡄⡇⡎⠉⡆⡇⢸⡇⡏⠙⢸⣇⣸⢸⣿⣿⠂⢺⣿⣿⣿⣿⣿⣿⣷⣾⡷⠀⠀⡀⠀⠀ ⣤⣄⣀⣀⡀⠀⠀⠀⠈⠉⢭⣭⣿⠉⠀⠀⠀⠀⣇⣸⠃⡇⣿⣠⠇⡇⢻⢸⡇⡇⣿⡇⣇⡂⡗⢳⢸⠈⡆⢸⠰⡇⠀⣿⣀⢸⠘⡇⢧⣀⠇⢇⣸⠃⣇⣹⢸⡇⢸⢘⠛⠍⢀⣿⠟⢟⠟⠻⠟⡛⠛⠋⠇⠈⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣶⠦⠤⣶⣮⡯⠀⠀⠀⠀⢀⠀⢀⠀⢀⠀⡒⢗⡚⡓⠛⣓⢒⠛⣷⡖⣐⢚⡳⣂⣚⢒⠒⡂⢀⠀⠀⡀⠂⢀⠀⣀⠀⡀⣀⣀⢀⡀⠀⡀⠀⣀⡀⠀⠀⠸⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣬⣛⣋⡀⠀⠀⠀⢸⠤⢸⠀⢸⠀⡧⢼⡇⡧⠄⣿⢼⠻⠿⡇⡟⣼⠀⡇⢸⠈⣦⢳⡘⠀⠀⡇⠀⡎⡇⠸⡼⠀⡇⢸⢸⡧⠀⡧⠌⠧⡉⠀⠀⣻⠖⡠⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡸⠤⠸⣠⡸⣀⠇⡸⠇⠧⠄⠿⠸⠄⠄⠀⠇⠸⠄⠧⠼⠀⠿⠈⠇⠀⠀⠧⠤⠏⠹⠀⠇⠀⠧⠼⠸⠇⠀⢇⡀⠦⠜⠤⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣦⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠁⠀⠀⠀⠛⠻⠖⠧⠤⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ䷩ 𝚕𝚒𝚗𝚎 1252 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/04/25/Microsoft_Claims_Goodwill_Is_an_Asset_Valued_at_119_163_000_000.shtml Gemini version at gemini://gemini.techrights.org/n/2024/04/25/Microsoft_Claims_Goodwill_Is_an_Asset_Valued_at_119_163_000_000.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Microsoft Claims "Goodwill" Is an Asset Valued at $119,163,000,000, Cash Decreased From $34,704,000,000 to $19,634,000,000 and Total Liabilities Grew to $231,123,000,000⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Apr 25, 2024 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Bernie_Madoff⦈_ Imaginary value for imaginary things added up to offset the_fast-growing_debt (balancing the books? Cooking the books?) From www.microsoft.com/en-us/Investor/earnings/FY-2024-Q3/balance-sheets (Earnings Release FY24 Q3): 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Last summer and Now: Microsoft 'Goodwill' doubled in a year?⦈ ⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠂⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⣠⣴⣤⣶⣶⣴⣤⣦⣶⣿⣿⣶⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⣐⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠈⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⡐⡀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⢀⡆⠀⠈⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣼⠇⠀⠀⠀⠀⠀⣼⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢮⡚⡄⠀⠹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢁⣴⠀⠀⠀⠈⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⣧⠂⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⢘⣯⠀⠀⠀⠀⠾⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡛⠀⠀⠈⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⠀⠀⠄⠠⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⣿⡝⣿⠇⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⡟⠀⠀⠀⠀⠐⠓⠁⠋⠙⠛⠛⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⠏⠀⢀⣀⡀⠀⠀⠈⠀⠈⡀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣄⣠⣤⣄⡈⢿⣿⣿⣿⡟⢡⣶⡿⠿⠿⠿⣶⢇⠀⡀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠞⠋⠉⢉⡉⢙⠃⢨⢻⣿⣿⣧⢨⡅⢠⡀⠀⠀⠄⠙⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⢢⡤⣾⣯⣶⣇⡼⢸⣿⣿⣿⣾⣿⣿⣿⣶⣶⣄⣠⣆⢀⣺⡆⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡇⠀⠀⢤⢆⣄⣴⣶⣿⣿⣿⣿⣿⣷⣿⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠺⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠙⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡇⢸⣿⣿⣿⣿⣷⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡏⢹⣿⣉⣉⣙⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣭⣙⣉⣹⣿⣿⣿⣿⣿⣉⣋⣉⣿⣿⣿ ⣿⡏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠀⠀⢀⣴⣿⡏⠉⠉⠉⢹⣿⣿⣿⡏⠉⠉⠉⠉⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠉⢁⣀⣤⣴⣶⣿⣴⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿ ⣿⡇⠀⠀⠀⢠⣤⡄⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⢁⣀⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠃⠀⠀⠀⢸⣿⡟⠛⠃⠀⠀⠀⠀⣿⣿ ⣿⡇⠀⠠⠤⠼⠿⠧⠤⠄⠀⠀⠀⠠⠤⠼⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠛⠉⠁⠀⠤⠴⠶⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠇⠀⠀⠀⠀⠀⠸⠿⠧⠤⠄⠀⠀⠀⢀⣿⣿ ⣿⣿⣿⣿⣿⣙⣉⣉⣉⣹⣉⣹⣍⣉⣉⣍⣉⣩⣁⣁⣩⣉⣯⣽⣷⣅⣩⣋⣩⣍⣯⣽⣹⣉⣋⣥⣷⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣜⠯⢭⡛⣿⣿⣷⣶⣾⡞⢻⣷⣾⣿⣿ ⣿⣷⣶⣶⣶⣒⣒⣒⣖⣒⣒⣒⣲⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠀⣶⣶⣶⣶⣶⣶⣶⡆⢰⣶⣾⣿⣿ ⣿⣯⡭⢭⣭⣭⡭⠭⠭⠭⡭⠭⠭⢭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⠭⠀⠭⢭⣭⣭⣭⣭⡍⠁⠈⠩⣽⣿⣿ ⣿⣟⣓⣚⣛⣛⡛⣛⣛⣛⣛⠛⠛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⡉⠀⠉⢛⣛⣛⣛⣛⣓⡀⢀⡛⣻⣿⣿ ⣿⣿⣧⣼⣿⣿⣧⣭⣥⣤⣬⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢀⣶⣾⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿ ⣿⣿⣇⣸⣿⣿⣇⣉⣉⣩⣉⣈⣛⣙⣉⣍⣉⣉⣀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣤⣼⣿⣿⣿⣿⣿⣧⣥⣴⣿⣿⣿ ⣿⣿⡏⢹⣿⣿⣏⣛⣛⣻⣛⣟⣛⣛⣋⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣙⣉⣹⣿⣿⣿⣿⣿⣭⣋⣉⣿⣿⣿ ⣿⣿⡟⢻⣿⣿⡟⡛⣻⠛⢻⠛⠛⠛⡟⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠛⢻⣿⣿⣿⣿⣿⡟⢿⠛⣿⣿⣿ ⣿⣿⡷⢾⣿⣿⡿⠿⢿⠿⢿⡿⠿⠿⠿⡿⠿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠿⢿⣿⣿⣿⣿⣿⠿⡿⢿⣿⣿⣿ ⣿⣟⣓⣚⣛⣛⣓⣓⣛⣒⣚⣚⣒⣛⣒⣓⣒⣒⣚⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣒⣚⣛⣛⣛⣛⣛⣒⣒⣚⣻⣿⣿ ⣿⡿⠧⠼⠿⠿⠧⠤⠼⠤⠦⠦⠤⠤⠤⠼⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠷⠬⠤⠼⠿⠿⠿⠿⠿⠶⠵⠤⢿⣿⣿ ⣿⣿⣏⣹⣿⣿⣿⣿⣍⣏⣩⣉⣉⣉⣉⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⢉⣻⣿⣿⣭⣙⣉⣹⣿⣿⣿⣿⣏⣫⣻⣉⣿⣿⣿ ⣿⣷⡖⢲⣶⠒⠒⠒⠒⠒⠒⢲⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣖⣲⣒⣲⣶⣶⣶⣶⣶⣒⢖⣲⣾⣿⣿ ⣿⣯⡭⢭⣭⠭⠭⠭⠭⠭⠭⠭⠭⢭⠭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⡭⢭⠭⢭⣭⣭⣭⣭⣭⠭⡭⢭⣽⣿⣿ ⣿⣟⣓⣚⣛⢒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⢛⠛⢛⣛⣛⣛⣛⣛⡛⡚⡛⣻⣿⣿ ⣿⣿⣧⣼⣿⣤⣤⣤⣤⣤⣤⣤⣤⣬⣥⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣾⣿⣿⣿⣿⣿⣷⣷⣷⣿⣿⣿ ⣿⣿⣇⣸⣿⣈⣉⣉⣙⣉⣉⣉⣋⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣤⣼⣿⣿⣿⣿⣿⣿⣧⣤⣿⣿⣿ ⣿⣿⡏⢹⣿⠉⠛⠟⢛⡟⠛⠛⠙⠋⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣛⣉⣹⣿⣿⣿⣿⣿⣍⣫⣉⣿⣿⣿ ⣿⣿⡟⢻⣿⠛⠛⢿⠛⢻⠛⣻⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠻⠛⢻⣿⣿⣿⣿⣿⡛⠟⢻⣿⣿⣿ ⣿⣿⡷⢾⣿⣿⣿⣿⠿⠿⡿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠀⠉⠛⢿⣿⣿⣿⠿⢿⠿⢿⣿⣿⣿⣿⡿⠿⡿⠿⣿⣿⣿ ⣿⣟⣓⣚⣛⣛⣛⣛⣓⣒⣓⣒⣒⣒⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣓⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣀⣐⣚⣛⣛⣛⣛⣒⣛⣒⣚⣛⣛⣛⣛⣓⣒⣚⣒⣻⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 1360 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/04/25/More_Microsoft_Cuts_Events_Canceled_Real_Sales_Down_Sharply.shtml Gemini version at gemini://gemini.techrights.org/n/2024/04/25/More_Microsoft_Cuts_Events_Canceled_Real_Sales_Down_Sharply.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ More Microsoft Cuts: Events Canceled, Real Sales Down Sharply⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Apr 25, 2024 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Microsoft will be relying on this push, particularly on the Surface side. Once again, devices revenue has declined in Q3 by a massive 17 percent. Devices revenue has been down for well over 12 months now, despite new launches of Surface devices and Microsoft switching up its hardware portfolio amid layoffs. Microsoft now has a new Windows and Surface chief, after Panos Panay’s surprise departure to Amazon last year. Pavan Davuluri took over Windows recently after taking over Surface devices last year. Microsoft split up the Windows and Surface groups under two different leaders last year, but they’re back under a single leader now.⦈ CAREFUL attention is needed to see past tonight's spin because amid more layoffs (days ago, offices_scuttled_and_studios_shut_down) we've learned of yet more events being canceled under Microsoft (cost-cutting_move, as typical in recent years; BlizzCon_2024_has_been_canceled). Additionally, we now learn of sharp declines in Microsoft sales, e.g. of XBox and PCs/Windows. From Microsoft's spinner Tom Warren (repeating the official fraud): Microsoft "devices revenue has declined in Q3 by a massive 17 percent..." So they will call (or rebrand) everything "AI" or "Azure" or "cloud" while adding revenues from Blizzard to pretend something is growing. At what cost? The debt of Microsoft has skyrocketed and we'll know the latest debt level a few days later when Microsoft is done boasting about buying fake clients (giving them money to pay back Microsoft and fake "demand", as in Microsoft as its own "client"). █ 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Microsoft down⦈ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣇⣩⣰⣟⣏⣝⣉⣉⣫⣰⣻⣩⣹⣿⣸⣘⣍⣹⣹⣉⡨⣹⣏⡩⠛⣏⣹⣏⣇⣃⣱⣯⣿⢏⣙⣯⣇⡙⡿⢏⣉⣹⣘⣊⣉⣛⣈⣹⣿⠏⣽⣉⣿⣹⣸⣈⣉⡇⠢⠆⠰⠸⠄⠀⠰⢺⣉⣈⣛⣉⣻⣿⣿⣿⣿⣿ ⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⢿⢿⣿⡿⡿⡿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⢿⠿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿ ⣿⣿⣧⣯⣿⣤⣥⣼⣧⣄⣠⣼⣤⣿⣿⣥⣤⣮⣧⣤⣤⣤⣿⣧⣴⣵⣤⣤⣮⣤⣼⣼⣤⣤⣼⣬⣧⣤⣤⣿⣤⣤⣬⣼⣼⣧⣧⣏⣶⣼⣬⣂⣾⣤⣧⣿⣤⣤⣤⣤⣧⣦⣼⣼⣼⣇⣧⣤⣼⣤⣤⣼⣤⣽⣿⣿⣿⣿ ⣿⣿⡟⣟⠿⡿⡟⢿⠿⠿⣿⠿⠿⠿⠿⢟⣿⠿⢿⣿⠿⠿⢿⣝⠿⠿⠿⣿⡿⢹⡿⠛⢿⡿⣟⣽⠿⣿⠻⣿⠿⠋⡿⡿⠟⠿⢿⣟⣿⢻⣿⠿⢿⡿⢟⡏⢿⢿⡿⠿⡿⠿⢿⣿⠹⠿⢿⡿⢛⡿⢿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣷⣷⣶⣷⣷⣶⣶⣾⣿⣶⣾⣾⣶⣶⣷⣶⣾⣾⣶⣶⣾⣿⣷⣶⣶⣷⣷⣾⣶⣷⣾⣷⣷⣷⣶⣿⣷⣾⣶⣶⣷⣿⣾⣶⣾⣷⣷⣾⣾⣶⣶⣷⣶⣶⣶⣿⣷⣶⣶⣶⣿⣷⣶⣾⣯⣴⣾⣶⣾⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡟⣿⠛⢛⢻⢿⠿⠛⣿⠛⢻⣿⠛⠛⡟⢿⢽⠠⣠⡄⠀⢀⡤⠀⠠⡟⠙⢛⢛⠙⠟⢛⣻⡿⠟⢻⠏⡏⠛⢹⡿⡟⡻⠛⠛⣿⢩⢿⠛⢛⢻⡿⠻⢿⠏⢻⠟⢻⠻⠟⢻⣿⠟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢶⣶⣶⣶⣶⣶⣶⡶⡿⣿⣿⣿⣿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⡭⣭⣭⣭⣭⣭⣭⣭⣥⣬⣭⣥⣭⣭⣭⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣇⣾⣘⣰⣁⣌⣱⣈⣰⣉⡇⣪⣊⣳⣘⣈⣎⣀⣑⣹⣉⣳⣋⣊⣂⣇⣁⠏⣆⣑⣆⣃⣻⣧⣃⣟⣉⣰⣑⣁⣗⣁⣖⣏⣞⣉⣌⣱⣇⣘⣘⣸⣇⣹⣐⣇⣉⣌⣷⣡⣹⣋⣈⣂⣁⣞⣡⣘⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣷⣶⣶⣶⣶⢒⠒⠒⢒⠒⠒⠒⢲⣶⢶⡶⣶⣶⣶⣶⣶⢶⣶⣶⡶⢶⣶⣶⣶⣶⣶⠶⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣧⣼⣯⣬⣿⣙⣃⣘⣘⣂⣀⣐⣹⣬⣼⣧⣤⣿⣹⣤⣿⣬⣼⣼⣧⣦⣼⣦⣼⣴⣽⣴⣧⣧⣤⣜⣹⣷⣽⠮⠤⠿⠻⠦⠧⠤⠤⠧⠭⠤⠨⠮⠥⠧⠯⠤⠧⢼⣬⣥⣯⣧⣿⣤⣤⣧⣥⣼⣧⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡟⣿⡿⣿⡿⡿⠿⠿⢿⣿⠛⡿⣿⡿⠿⣿⡟⡛⠿⢿⣿⡟⣿⡿⡟⡟⣿⠿⣿⠻⡿⡿⠿⠿⢿⡟⠟⢛⡿⠿⡿⡿⢿⣿⢿⡿⠿⢿⠿⠿⣿⣿⣿⣿⠿⢻⠻⢿⢿⣿⠿⡿⡟⢿⡿⢿⢿⠿⠿⠿⣿⣿⣿⣿⣿⣿ ⣿⣿⣷⣶⣿⣷⣯⣶⣶⣷⣾⣾⣾⣶⣷⣿⣶⣿⣷⣷⣶⣷⣿⣶⣿⣶⣷⣗⣒⣒⣛⣒⣓⣛⣚⣒⣚⣿⣶⣿⣿⣶⣷⣶⣷⣾⣿⣷⣶⣶⣶⣶⣿⣶⣧⣿⣶⣾⣶⣿⣾⣷⣶⣷⣷⣾⣧⣼⣾⣶⣷⣶⣿⣿⣿⣿⣿⣿ ⣿⣿⣗⠄⣠⠀⠀⢠⡄⠄⣿⠏⠛⡿⣿⠛⠛⠛⣿⡟⠛⠋⣿⢟⠛⠛⣿⢿⠙⡋⠙⠟⢛⡟⠛⠻⣿⠹⣟⠟⢻⡏⢹⡿⠛⢿⡿⢹⡟⢻⡝⡙⣿⡛⠻⠟⢛⠿⣟⢿⠛⢻⡿⢹⡢⢠⡄⠀⢀⣤⠀⢸⣿⣿⣿⣿⣿⣿ ⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣥⣭⣭⣭⣭⣥⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿ ⣿⣿⡏⢹⣍⣏⣉⢿⣉⣹⣙⣯⣉⣿⣉⣹⣇⣟⣩⣉⣏⣇⣸⣇⣎⣍⣍⣉⣹⣻⣈⣙⣟⣃⣉⣯⣯⣿⣏⣉⣁⣿⢩⣉⣉⣯⢻⣘⣟⣁⣿⣘⣿⣉⢝⣾⣏⣹⣿⣉⣉⣻⣙⣏⣻⣍⣹⣋⣉⣿⣉⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣷⡶⣶⣶⣶⣶⣶⢾⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣧⣤⣿⣄⣸⣧⣼⣤⣬⣬⣤⣤⣷⣿⣧⣬⣯⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡿⢿⢿⣿⣿⣿⣿⢿⣿⣿⣿⡿⠿⡿⠿⢿⣿⣿⡿⡿⢿⣿⣿⣿⣿⢿⣿⣿⣿⣿⠿⠿⣿⣿⣿⡿⣿⠿⢿⢿⣿⣿⣿⣿⡿⠿⢿⡿⢿⣿⣿⣿⣿⣿⣿⢿⡿⡿⠿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡇⡌⢸⠀⠁⠀⠡⠸⠀⠉⠄⡁⠧⠀⠍⢸⣟⣻⡇⡄⠈⠀⡇⠈⠠⠈⠀⠁⠄⣿⢈⠡⠀⠈⠀⠃⣿⡇⣿⠀⠀⡄⠁⢸⡇⢨⡄⡄⠈⠤⠁⢸⣿⣋⣿⡸⠇⡂⠅⡇⠇⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡟⠛⠛⡿⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⡿⠟⣿⣿⡿⠛⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢻⡟⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠙⡛⠛⠻⡟ ⣿⣿⣿⡇⠀⠀⠃⠀⠀⠁⠀⠋⢉⠉⠋⠉⠉⠉⢉⠉⠹⠉⠉⢉⠋⢉⠉⠋⠀⢀⡁⠀⣉⣿⠀⢠⣶⢤⡼⠋⣉⠉⠋⠉⠉⠉⢉⡉⠙⠋⢉⠉⠋⠉⠉⡋⠉⠉⢉⠀⢈⡁⠀⠋⢉⠉⢻⠉⢉⠉⢻⣿⠁⢰⡇⠀⠀⠃ ⣿⣿⣿⡇⠀⡆⠀⡆⠀⡀⠀⣄⠈⢈⡁⠀⣾⣄⠈⠁⣀⡀⠀⢀⣄⠈⢀⣰⠀⢸⣇⠀⠉⣿⣆⡀⠉⢀⣴⡀⠉⢀⡄⠀⣿⠀⠈⠁⣠⣀⠈⢀⡄⠀⣿⡀⠀⠀⢸⡀⠈⠁⠀⣄⠈⠀⣸⠀⢸⠀⢸⣿⡄⠈⡇⠀⡄⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡟⠁⢀⡀⠈⢻⠁⢀⣀⠈⢻⠉⠀⣀⠀⠹⣿⣿⡟⠁⢀⡀⠈⢻⣿⠟⠁⠀⢸⣿⣿⣿⣿⣿⠿⢿⡿⠿⠿⣿⣿⠿⠿⢿⠿⠿⢿⣿⣿⡿⢛⣿⣿⠿⠿⢿⣿⣿⡿⠿⣿⠛⠛⠿⠿⢿⡿⢿⡛⢿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣷⡎⠀⠀⢶⡀⠈⠉⠀⢈⡀⠀⠉⠀⠀⣿⣿⠇⠀⢸⣿⠀⠀⠋⠀⠴⠀⠸⢿⣿⡿⠛⢣⡄⢸⠀⣶⠀⣿⡏⠀⣶⠀⣤⠖⢠⣿⣿⡇⢼⠛⠛⣤⠆⢠⣿⡟⠡⠀⢏⣀⡉⢡⣈⠀⠐⠛⡧⠈⣿⣿⣿⣿⠋ ⣿⣿⣿⣇⠀⠈⠁⠀⣸⡉⠈⠉⠀⣼⡉⠀⠉⠀⣰⠁⠀⣧⡀⠈⠁⠀⣰⣤⣤⡄⠀⢠⣼⣿⣿⣿⣿⣧⣼⣦⣤⣴⣧⣼⣤⣤⣴⣤⣤⣭⣿⣿⣇⠘⣿⣿⣤⣤⣭⣤⣴⣶⣤⣶⣤⣤⣼⣯⣼⣤⣥⡃⣸⣿⣿⣿⣿⣷ ⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣶⣶⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⠿⣿⠿⠿⠿⢿⣿⠿⠿⢿⡿⢿⡿⠿⡿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡏⣀⢳⢸⡇⠆⠀⠰⠀⠀⡡⠨⢽⣇⡀⡭⡘⢃⡘⢃⣿⢨⣴⠀⢁⢸⡇⠭⡇⠟⣸⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡟⠛⡿⠛⣻⣿⣿⡟⠛⣿⣿⣿⣿⣿⣿⡿⠛⣿⠛⢻⣿⣿⣿⣿⣿⣿⣿⡟⠛⢻⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣷⠀⠃⢠⡃⠀⠈⠃⠀⠀⢸⠀⡏⠀⠀⠁⠀⣤⠀⠈⠀⠀⠁⠀⡀⠈⣿⡇⠀⠈⠀⠀⠁⠀⠈⡋⠠⠀⠋⠀⠀⠅⢸⠀⠀⠀⣀⠁⠀⠙⠁⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣄⣀⣸⣀⣀⣀⣀⣀⣀⣈⣀⣄⣀⣀⣠⣀⣉⣀⣠⣀⣀⣄⣀⣇⣀⣿⣇⣰⣀⣀⣀⣄⣀⣀⣄⣀⣀⣈⣀⣀⣄⣈⣀⣀⣀⣿⣀⣀⣠⣁⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 1454 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/04/25/Over_at_Tux_Machines.shtml Gemini version at gemini://gemini.techrights.org/n/2024/04/25/Over_at_Tux_Machines.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Over at Tux Machines...⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Apr 25, 2024 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Burning_Incense_Sticks_with_green_plant_in_the_background⦈_ ⚓ Updated This Past Day⠀⇛ 1. ⚓ IBM_Wants_to_Buy_Microsoft_Partner_of_the_Year⠀⇛ bad move 2. ⚓ What’s_new_in_security_for_Ubuntu_24.04_LTS?⠀⇛ We’re excited about the upcoming Ubuntu 24.04 LTS release, Noble Numbat 3. ⚓ Red_Hat_Satellite_6.15_is_now_available⠀⇛ We are pleased to announce the availability of Red Hat Satellite 6.15 4. ⚓ QEMU_9.0_Released_with_Raspberry_Pi_4_Support,_LoongArch_KVM Acceleration⠀⇛ QEMU 9.0 open-source virtualization software is now available for download with various improvements for ARM, RISC-V, HPPA, and LoongArch architectures. 5. ⚓ For_the_First_Time,_GNU/Linux_('Proper')_Crosses_4%_in_Taiwan_According to_statCounter [original]⠀⇛ all-time high ⚓ New⠀⇛ 6. ⚓ What_role_community_plays_in_free_software_and_more⠀⇛ ⚓ New⠀⇛ Interview with David Wilson I've been using GNU/Linux since around 1997 when I installed Slackware Linux for the first time 7. ⚓ Programming_Leftovers⠀⇛ a handful of coding related links 8. ⚓ today's_leftovers⠀⇛ Software and devices 9. ⚓ Red_Hat,_AlmaLinux,_and_Fedora⠀⇛ IBM, RHEL etc. 10. ⚓ Security_Leftovers_and_Windows_TCO,_Microsoft_DRM_Failing⠀⇛ roundup of security news 11. ⚓ Mozilla:_More_Rust_and_Firefox_Nightly⠀⇛ 3 Mozilla related posts 12. ⚓ NetBSD_9.4_released⠀⇛ The NetBSD Project is pleased to announce NetBSD 9.4 13. ⚓ TrueNAS_SCALE_24.04_Rolls_Out_with_Enhanced_SMB_and_NFS_Monitoring⠀⇛ TrueNAS SCALE 24.04 (Dragonfish) open storage introduces auditing, sandboxing for devs, and enhanced SMB performance 14. ⚓ OSMC's_April_update_is_here_with_Kodi_v20.5⠀⇛ finalised our support for Kodi v21 and this will be the final release of Kodi v20 15. ⚓ today's_howtos⠀⇛ only a half dozen for now 16. ⚓ Ruby_Tackles_CVE-2024-27282⠀⇛ newly patched reeleases 17. ⚓ Android_Leftovers⠀⇛ Lock screen ads could be coming to your Android phone 18. ⚓ today's_howtos⠀⇛ a longish batch for noon 19. ⚓ PowerDevil_in_Plasma_6.0_and_beyond⠀⇛ Thus started a journey into the code of Plasma's power management service, internally known as PowerDevil 20. ⚓ Notifications_in_46_and_beyond⠀⇛ One of the things we’re tackling as part of the STF infrastructure initiative is improving notifications 21. ⚓ Linux_can_finally_run_your_car’s_safety_systems_and_driver-assistance features⠀⇛ There's a new Linux distro on the scene today, and it's a bit specialized 22. ⚓ BIGTREETECH_Pi_2_SBC_and_CB2_module_for_3D_printers_now_feature Rockchip_RK3566_SoC_with_Gigabit_Ethernet⠀⇛ The BTT Pi 1 runs the CB1 image based on Debian 11, Linux 5.16, and Klipper open-source 3D printer software 23. ⚓ Linux_Candy:_Fantascene_–_dynamic_wallpaper⠀⇛ We only feature open source software in this series 24. ⚓ Linux_Distributions⠀⇛ wattOS is a simple, minimal, and fast Linux distribution.It’s based on Debian 25. ⚓ Unmanned_Ground_Vehicle_Rover_for_Raspberry_Pi_4_&_5_SBCs⠀⇛ This open-source platform is geared towards robotics and navigation applications 26. ⚓ today's_leftovers⠀⇛ 4 links for now 27. ⚓ Microsoft_Digital_Restrictions_(DRM)_and_Windows_TCO_(Security Incidents)⠀⇛ Microsoft doing its damage, still 28. ⚓ Games:_Trackline_Express,_Swarm_Grinder_1.0,_OpenXR_in_Godot_Engine Improved,_KILLBEAT,_and_More⠀⇛ 7 stories from gamingonlinux 29. ⚓ today's_howtos_and_software⠀⇛ only a handful for now 30. ⚓ Upgrade_to_Fedora_40_from_Fedora_39_Workstation_(GUI_and_CLI)⠀⇛ Here are the upgrade steps for the new Fedora 40 release from the earlier Fedora 39 workstation version. 31. ⚓ Today_in_Techrights⠀⇛ Some of the latest articles ========================================================================= The corresponding text-only bulletin for Wednesday contains all the text. 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Debian has been participating in the Outreachy internships, originally called Outreach Program for Women, since_2013_(that_is_8_years). In 8 years, only one Outreachy, Ulrike has become a Debian Developer. And she quit. 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Ulrike Uhlig, Debian, Outreachy, intern⦈ Google Summer of Code (GSoC) internships are funded by Google. Outreachy internships are funded with money from the host organization although Ulrike either_doesn't_know_that_or_tried_to_cover_it_up_after_receiving_that_Debian money. Each year, there are two rounds of Outreachy, summer and winter. Each round, Debian typically aims to fund_two_interns. That means Debian aims to fund four interns per year. The cost to Debian is approximately_$6,500_per_intern, not counting the slush fund for travel. $500 goes to the controversial Sage Sharp and the other $6,000 goes to the intern. The total cost to Debian is approximately $26,000 per year or $208,000 over all the years. In practice, Debian doesn't always find satisfactory interns so we've rounded this number down to $200,000. From all those women and all that money, Debian only found one woman who became a Debian Developer, Ulrike Uhlig. Ulrike_has_quit_Debian_after_just_4_years. Debian paid $200,000 to find this woman and she quit. Ulrike claims to be interested_in_human_rights_and_mediation_techniques. Yet she went to the online DebConf and gave_a_talk_with_the_mafiosi_Enrico_Zini, this is the fascist who expels people on a whim without any due process or any other basics of human rights. Zini was complicit in expelling_Dr_Norbert Preining_the_week_before_Christmas and also fabricating_the_rape_accusations against_Jacob_Appelbaum. For Ulrike to give a talk with a gangster like this suggests that she has no understanding of the principles she claims to stand for. While there is only one Outreachy who became a DD, there is at least one who dated former leader Chris Lamb and maybe more. Molly de Blanc was an Outreachy for the FSF many years ago so she was not a Debian Outreachy. She was the girlfriend of Lamb until_their_breakup_in_2019 when Lamb was_lovestruck_by Albanian_women. In any other organization a program with results like these would have been cut after the first 3 or 4 years. Why does Debian continue to throw good money after bad? By failing to manage this money in a professional manner, Debian demonstrates that they are not sincere about women. They use the money as a slush fund to find girlfriends and they don't care about making the serious cultural changes that are required to have more than two_percent_women_in_Debian. █ 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Chris Lamb, Albanian women, Outreachy, lovestruck, DebConf19, Brazil, people trafficking⦈ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡟⠿⠿⢿⠿⡐⠈⠁⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠒⠶⠲⠶⠶⡆⣅⠤⢄⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢐⣲⣶⣶⣷⣶⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠉⠐⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⢀⣤⣴⣿⣶⣤⣤⡀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠹⠋⢿⣿⣿⣿⣿⣿⣿⡿⠿⢟⣛⣛⣛⣉⣭⣭⣭⣍⣉⣛⡛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⣀⡀⢀⣼⣿⣿⣿⣿⣿⣿⣷⣶⣚⣶⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⡀⡐⠀⠀⠌⠛⠛⠋⠵⢒⣛⣩⣭⡭⠅⠀⠀⠀⠀⠀⠉⠉⠉⠛⠶⠌⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠈⠉⠙⠛⠻⠿⢿⣿⣿⠻⡿⠌⠙⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⠟⣿⣿⠀⠁⢈⡉⠂⠀⠀⢀⣤⡄⠊⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠓⢲⣿⣿⣿⣿⣯⣽⣿⡿⠿⠛⣿⣿⣿⠀⠾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⣀⣴⣿⣿⣿⣶⣶⣦⣤⣤⣀⣀⣴⣿⣿⡿⠛⠛⠛⠋⢉⣠⣴⣾⣿⢿⡿⢀⣶⣾⠇⠀⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣬⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣤⣬⣍⣉⣁⠺⡿⣼⣯⣾⣿⣿⠁⠐⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠛⠛⠿⠿⠯⣄⣽⣿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣸⣿⣿⣿⣿⡀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣤⣤⣤⣀⣀⣀⡀⠈⠉⠉⢛⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⣶⣭⣭⣭⣟⣛⣛⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣾⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣹⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣼⡿⠟⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⡿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠗⠋⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⠏⠿⠟⠟⠋⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡀⡿⠟⠋⢉⣙⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠋⠙⢟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢩⣭⣭⣭⣭⣭⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠉⠛⠛⠛⠛⠉⠁⠀⠀⠸⣿⣶⣶⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠀⠐⠒⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡿⠿⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⣵⣶⣶⣶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⡛⢙⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠐⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣀⣀⡤⢤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⡀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢀⡴⠶⠀⠀⠀⠠⡇⠀⠀⠀⠀⠈⢿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠘⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⡤⢤⣤⡀⣀⣠⡄⣀⠉⣿⣿⣷⣿⣿⣿⠃⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⠿⣿⠂⠀⠀⢰⡇⠀⠀⠀⠀⠀⠘⣿⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠓⠔⠙⠛⣸⠊⠛⠙⠀⠈⠻⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⠀⠀⠀⠀⠀⢠⣿⣾⣿⡄⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣇⣰⣶⣲⣲⣶⢹⡲⡀⠀⠀⠀⠉⢉⣀⣠⣄⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠇⠀⠀⠀⠀⠀⣼⣿⣿⣿⠧⠠⣶⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣶⡀⡀⣀⢀⣀⣀⣀⣀⣁⡀⠀⠀⣖⡿⠛⠀⠀⠀⠀⠁⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣧⠀⠀⠀⠀⣧⠀⣿⣿⣿⣿⡆⠀⢉⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣀⠀⠀⣀⠐⢓⠓⠃⠓⠚⠚⣚⠙⠂⠛⠀⢠⡼⢿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡀⠀⠀⠀⣽⣾⣿⣿⣿⣿⣷⣂⣾⣿⡀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣸⡸⠷⣟⢸⡹⢸⣸⣷⣿⣵⠀⣸⠸⡓⢜⣇⣯⣇⣟⢺⡟⠀⠀⠀⠀⠀⠀⠀⣰⣶⣤⠀⠀⠀⢠⣴⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢹⣿⡿⣿⣿⣷⣶⣶⣶⣦⣤⣿⣷⣤⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠉⠴⠶⠶⠔⠶⠞⠈⠛⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⡦⠀⠀⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⢀⡄⣄⣠⣿⣿⣿⣿⣿⣷⣶⣾⣿⣯⣭⣿⠍⢉⣙⠛⠛⠛⠛⠋⡙⠿⠛⠋⠁⢘⣯⣿⣿⠿⠿⠿⣿⡿⠿⠿⠿⠏⠈⠃⣾⣿⣿⣿⣶⣀⣀⣀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⠾⢿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣟⠀⢸⣿⣿⣿⣿⡀⣴⣶⣶⠄⣀⣰⣾⣿⣿⣿⣄⣀⣀⣀⡀⠀⢀⣀⡀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠘⠻⢿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠙⠿⠋⠀⢀⣿⣿⣿⣿⣿⠀⠀⠀⠀⢻⣿⣿⠛⠋⠉⢻⣿⣿⣿⣷⣴⣿⣿⣿⣶⣿⠛⢿⣿⣿⣿⣿⣿⣿⣿ ⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠟⠚⠓⠿⠿⣿⣿⣿⣿⣿⠿⣷⣾⣦⡄⠀⠈⢿⣿⣿⣿⣿⣥⣀⠀⠀⠀⢻⣿⣿⣽⣽⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠁⠈⠉⣿⣿⣿⣿ ⠀⠿⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣄⡀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣀⣤⣶⣿⣿⣿⣿⣿⡻⣃⣤⣤⢾⣿⣿⣽⣿⠏⠁⠉⠛⠻⠋⠉⣻⣿⣿⣿⣾⣿⣿⣦⣶⣿⣿⣿⡿ ⠀⠀⠀⠙⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⣿⡟⢿⣿⣿⣿⡿⠿⠛⠉⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⠿⠻⠃⠊⠂⠄⠀⡉⢻⡿⠋⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⣿⢿⡿⣿⣿⣿⣿⣷⣉⠙ ䷩ 𝚕𝚒𝚗𝚎 1907 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/04/25/Video_Debian_s_Newfound_Love_of_Censorship_Has_Become_a_Threat_.shtml Gemini version at gemini://gemini.techrights.org/n/2024/04/25/Video_Debian_s_Newfound_Love_of_Censorship_Has_Become_a_Threat_.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Video] Debian's Newfound Love of Censorship Has Become a Threat to the Entire Internet⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Apr 25, 2024 Video_download_link | md5sum 1e9df3366740c68a66a9a39fb2c75f1b Debian_and_SPI_Attack_the_Whole_Internet_to_Silence_One_Person Creative Commons Attribution-No Derivative Works 4.0 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Preview_for_Debian_and_SPI_Attack_the_Whole_Internet_to Silence_One_Person⦈_ THE previous_video discussed some pressing issues inside Debian. This newer video focuses on how Debian's leadership is attempting to prevent access to information about these issues, which can make Debian and DebConf "sponsor- unfriendly". The gist of the story, as per the latest_WIPO_case, Debian's leadership (the unelected part) decided to take the "bait" and simply try to censor a whole bunch of domains, not just one, by taking over them (hostile takeover). The domains are debian.chat, debiancommunity.org, debian.day, debian.family, debian.finance, debian.giving, debiangnulinux.org, debian.guide, debian.news, debian.plus, debianproject.community, debianproject.org, debian.team, and debian.video. Attempts to enforce the trademark against some of these domains is extremely problematic and would set a horrendous precedent (threatening many activists worldwide). The video explains which ones and why. My personal assessment is, SPI (fronting for Debian) should suspend the case and entirely withdraw these proceedings. It must recognise the wider implications/consequences. To have the project associated with this would only stain the brand "Debian" among activists. One more observation I can make is, this sort of "bulk action" is utterly foolish and overzealous. SPI/Debian might end up with rotten tomatoes in the face, like IBM/Red_Hat_after_trying_to_hijack_WeMakeFedora.org. Is Gentoo_aware of_this? As a new SPI associated project, what would Gentoo say about trademark maximalism? There's meanwhile an open letter to DPL Andreas Tille which asks him to "withdraw or suspend" this "complaint". To quote: Attn: Andreas Tille Debian Project Leader [redacted] Herr Tille, As of 20 April 2024, you have been elected into the role of Debian Project Leader. As the Debian project is not incorporated, you and your family are now personally responsible for all the offensive acts conducted against my family in the name of Debian and using Debian controlled resources. There are a number of records published in the Debian web site and source code that are offensive, violating the privacy of my family and inciting aggression and retaliation against me. Most notable of these is the commit on 23 September 2018 removing my key from the Debian keyring: https://salsa.debian.org/debian-keyring/keyring/-/commit/ bd8346472644ec07c028a2b4b295b0151cb6544e The implication is that I am less trustworthy than other developers. This record was created at a very painful time for my family. Therefore, this commit is a violation of privacy, criminal defamation, incitement for people to harass me and an act of intimidation/cyberbullying. This is part of a pattern of extreme cyberbullying that has had an adverse impact on other volunteers including Dr Norbert Preining and Dr Richard Stallman. You have 7 days to: a) remove this offensive commit, using the Git Rebase mechanism b) remove all other criminally offensive incitement from debian.org web sites, mailing list archives, social media accounts and other platforms c) withdraw or suspend all procedures that are currently in progress, such as the WIPO UDRP complaint D2024-0770 d) issue a public apology to my family and I for the comments made by your predecessors Jonathan Carter, Sam Hartman and Chris Lamb Should you fail to comply, I will have no choice other than to use all possible mechanisms to seek justice. Daniel Pocock I can only comment on or agree on (c) above. Why? Because "WIPO UDRP complaint D2024-0770" is incredibly dangerous. Debian's lust for censorship may mean sites/domains like botcottnovell.com could be hijacked though a 'kangaroo court', leaving corrupt people to carry on doing corrupt things. █ ⣿⣿⡿⡿⢱⣽⣫⣧⢢⠀⡐⡄⡖⡄⠀⡐⡄⡖⡄⡔⡇⠀⠯⡅⡯⠇⡇⠀⣞⡄⡗⡖⢀⢢⡀⠂⣧⠂⠐⡗⡗⡆⣔⡇⠀⣆⢣⡄⡇⠄⡔⡄⣇⣔⡄⠀⣷⠒⣼⠒⣔⡄⡖⣖⡎⣽⡖⣗⠀⢗⣦⢦⠠⠺⢭⢸⡇⣔ ⣿⣿⣷⣯⣭⣬⣭⣭⣭⡄⠉⠁⠁⠁⠀⠉⠁⠅⣥⣭⣥⣤⣭⣥⣥⣤⣥⣬⣤⡥⠉⠉⠈⠉⠈⠁⠁⣡⣤⣯⣥⣥⣯⡅⠀⠈⠈⢡⣡⡤⡩⠁⠅⣭⣥⢠⣭⣤⣭⣥⣭⣥⣥⣥⣥⢏⣭⣯⣤⣬⣽⣭⣤⣭⢭⣬⣧⣭ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠛⠻⠿⠿⠿⠛⠛⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣴⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⣟⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⣰⣿⠋⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⣛⢛⡃⠀⠀⠰⡞⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠦⠤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣟⠛⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⠪⠅⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢠⡟⠂⣀⣀⣤⣤⣤⣄⠀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣔⣶⣽⡟⠀⣼⣿⣿⣿⣿⣿⣿⣿⣶⡄⠀⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠛⡉⣉⡛⠛⢿⣿⣿⡟⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢙⠁⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠃⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢀⢀⣾⠇⡅⣿⡇⡎⢰⣷⣶⣅⢢⠙⣿⡇⣄⠀⠀⠀⠀⠀⠀⢀⡄⣺⣿⣿⣷⡀⢀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢠⢃⣾⣿⠀⡇⣿⡇⡆⣿⣿⣿⣿⠀⠇⣿⠇⡷⠀⠀⠀⠀⠀⠀⠀⠦⣾⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠘⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠇⣿⡇⡅⢿⣿⠿⢋⣰⢡⣿⠁⠃⠀⠀⠀⠀⠐⠀⠀⠊⠿⣿⠿⠛⢀⢐⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣔⣠⣿⣇⣢⣀⣄⣰⣾⣾⣿⣿⣄⣂⠀⠀⠀⠀⠀⠐⠪⠠⣀⣀⣐⣲⣵⣿⠋⠘⣿⣿⣟⣟⣻⣿⣿⡟⠁⠀⠀⠀⠙⠿⠿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⡿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠐⠀⠹⠫⠟⠉⠉⠀⠀⠀⠘⢿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠀⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣯⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡇⠀⠀⠀⠀⠀⠀⠙⠿⠃⣀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡖⠂⠀⠀⠀⠀⠀⠀⠋⠛⠃⠀ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⡀⡀⢀⢀⣀⡀⢀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢀⣀⣀⠀ ⡏⢉⡽⠘⢋⢿⣿⣼⣿⣿⣿⣿⣿⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣲⣿⣿⣿⣿⣿⣴⣽⣫⡽⣿⣻⢿⢿⠿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⡿⢲⣩⣿⣧⢤⠀⣄⡄⡄⡄⠀⣄⡄⡄⡄⡄⡇⠀⠮⡂⣏⠆⡇⠀⣜⡄⡆⡆⢀⣀⡠⠀⣧⠀⠀⡆⡇⡄⣄⡆⠀⣆⢂⡄⡇⠄⡄⠄⣇⣄⡄⠀⣦⠤⣴⠀⣄⡔⡄⡦⡄⣴⡔⡖⡀⢆⣤⢦⠠⠲⢕⢨⡆⣄ ⣿⣿⣯⣯⣭⣬⣭⣭⣭⡄⠁⠁⠁⠁⠀⠁⠁⠅⣥⣭⣥⣤⣭⣥⣥⣤⣥⣬⣤⡥⠁⠁⠈⠉⠈⠀⠁⣡⣤⣭⣥⣥⣯⡅⠀⠈⠈⢡⣡⡤⡩⠁⠅⣭⣥⢠⣭⣤⣭⣥⣭⣥⣥⣡⣥⢏⣭⣭⣤⣭⣭⣭⣤⣭⢽⣬⣥⣭ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠛⠻⠿⠿⠿⠛⠛⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣴⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⣰⣿⠋⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠛⢛⡇⠀⠀⢐⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠦⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠛⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⢩⠅⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠤⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡟⠂⣀⣠⣤⣤⣤⣄⠀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣬⣴⣿⡟⠀⣼⣿⣿⣿⣿⣿⣿⣿⣶⡄⠀⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢙⠁⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠃⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢀⢀⣾⠇⡅⣿⡇⡌⢰⣷⣶⣅⢢⠙⣿⡇⣄⠀⠀⠀⠀⠀⠀⠀⠄⣾⣿⣿⣷⡀⢀⠠⣿⣿⢿⣿⣿⣿⣿⣿⣿⣧⢀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢠⢃⣾⣿⠀⡇⣿⡇⡆⣿⣿⣿⣿⠀⠇⣿⠃⡷⠀⠀⠀⠀⠀⠀⠀⢀⢼⣿⣿⣿⡇⠐⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠘⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠇⣿⡃⡅⢿⣿⠿⢋⣰⢡⣿⠁⠃⠀⠀⠀⠀⠐⠀⠀⠛⠿⣿⡿⠛⢀⢐⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣔⣠⣿⣇⣢⣀⣄⣰⣾⣶⣿⣿⣄⣂⠀⠀⠀⠀⠀⠀⠀⢤⢠⣀⣀⣲⣵⣿⠋⠘⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠙⠿⠿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⡿⠇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠃⠺⠋⠟⠋⠉⠀⠀⠀⠈⢿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠀⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣯⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡇⠀⠀⠀⠀⠀⠀⠙⠿⠃⣀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⡿⣿⣿⣇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡖⠒⠀⠀⠀⠀⠀⠀⠛⠛⠋⠀ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀ ⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⡀⡀⢀⢀⣀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⣀⠀ ⡟⢉⣽⠘⢋⢿⣿⣼⣿⣿⣿⣿⣷⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣲⣻⣿⣿⣿⣾⣬⣷⣫⡽⡿⣻⣿⡟⠿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⡶⢲⣡⣯⣧⢤⠀⣤⡄⡤⡄⠀⣤⡄⡤⡄⡤⡇⠀⢶⡂⣖⡆⡆⠀⡔⡄⡦⡦⢠⣄⡠⠄⣆⠄⠠⡦⡧⡄⣤⡆⠀⡆⢂⡄⡦⠄⡤⡄⣇⣤⡄⠀⣦⠤⣰⠄⣤⡔⡤⡦⡄⣴⣔⣦⢀⣦⣤⢦⠠⠶⣖⢰⡆⣤ ⣿⣿⣿⣷⣯⣼⣯⣭⣯⡄⠁⠁⠁⠁⠀⠁⠁⠁⣧⣵⣧⣤⣵⣥⣧⣤⣧⣴⣤⡥⠑⠁⠀⠈⠀⠀⠋⣠⣤⣷⣯⣧⣷⡇⠀⠈⠈⢡⣡⡤⡡⠁⢡⢡⣥⢠⣽⣤⣯⣦⣵⣥⣧⣣⣥⢟⣧⣿⣤⣽⣽⣯⣤⣽⢮⣬⣧⣵ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠛⠻⠿⠿⠿⠛⠛⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣴⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡰⣿⠋⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⣛⢟⡇⠀⠀⢘⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣟⠛⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣁⢈⠅⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠤⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢆⣿⠭⠁⣠⣤⣤⣤⣤⣄⠀⠀⠀⠀⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣮⣬⣿⣿⢃⠀⣾⣿⣿⣿⣿⣿⣿⣿⣶⡀⢀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢙⠃⠈⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⢀⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢀⢀⣾⠇⡅⣿⡇⡎⢰⣷⣶⣅⢢⠙⣿⡇⣄⠀⠀⠀⠀⠀⠀⠀⣀⣸⣿⣿⣷⡘⢀⠁⢸⣿⣿⣻⣿⣿⣿⡿⣶⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢠⢃⣾⣿⠀⡇⣿⡇⡆⣿⣿⣿⣿⠀⠇⣿⠃⡷⠀⠀⠀⠀⠀⠀⠰⡻⣾⣿⣿⣿⡇⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠋⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠇⣿⡇⡅⢿⣿⠿⢋⣰⢡⣿⠁⠃⠀⠀⠀⠀⠀⠀⡀⠚⠿⣿⡿⠛⢀⢘⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣔⣠⣿⣇⣢⣀⣄⣰⣾⣾⣿⣿⣄⣂⠀⠀⠀⠀⠀⠀⠠⠴⢠⣀⣀⣲⣵⣿⠋⠀⢻⣿⣿⣛⣛⣻⣿⡿⠃⠀⠀⠀⠙⠿⢿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⠇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠑⠚⠾⠿⠟⠋⠉⠀⠀⠀⠀⠙⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠁⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡇⠀⠀⠀⠀⠀⠀⠹⠿⠃⡀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⡿⣿⣿⣇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡖⠂⠀⠀⠀⠀⠀⠀⠙⠩⡁⠀ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⣀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⡀⡀⢀⢀⣀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣀⠀ ⡟⢉⣽⠘⣋⣿⣿⣼⣿⣿⣿⣿⣿⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣲⣻⣿⣿⣿⣿⣼⣿⣫⣽⣿⣻⢿⣟⠟⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⡶⢲⣡⣿⣧⢤⠀⢤⡄⡤⡄⠀⢤⡄⡤⡄⡤⡆⠀⢖⡂⣖⡆⡆⠀⡔⡄⡦⡦⢠⣄⡠⠄⣆⠄⠠⡦⡦⡄⣤⡄⠀⡆⢂⡄⡦⠄⡤⡄⡆⣤⡄⠀⣦⠤⣰⠤⣤⡔⡤⣦⡄⣵⣔⣶⠀⢦⣤⢶⠠⢴⣒⢰⡆⣤ ⣿⣿⣷⣷⣯⣽⣶⣿⣮⡀⠑⠃⠃⠃⠀⠑⠃⠃⣃⣑⣣⣀⣶⣧⣧⣤⣧⣔⣉⡁⠓⠑⠐⠈⠐⠂⠋⣢⣤⣷⣧⣧⣷⡆⠀⠈⠈⢡⣡⡄⡡⠁⠡⢥⣤⢠⣿⣤⣯⣶⣷⣧⣧⣣⣥⢟⣪⣷⣤⣽⣽⣮⣄⣴⢺⣼⣧⣷ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠛⠻⠿⠿⠿⠛⠛⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣴⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⣰⣿⠋⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⡛⢿⡇⠀⠀⠘⠟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠦⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠛⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⣬⠁⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢰⣿⠀⢀⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢠⢀⣽⣾⣿⣿⢁⢰⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢙⠋⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠘⠘⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢀⢀⣾⠇⡅⣿⡇⡎⢰⣷⣶⣅⢦⠙⣿⡇⣄⠀⠀⠀⠀⠀⠀⠀⡠⣺⣿⣿⣷⡙⢀⠀⣿⣿⣟⣿⣿⣿⣿⠿⣿⣿⠀⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢠⢃⣾⣿⠀⡇⣿⡇⡆⣿⣿⣿⣿⠀⠇⣿⠃⡷⠀⠀⠀⠀⠀⠀⠰⡂⡿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠋⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠇⣿⡃⡅⢿⣿⠿⢋⣰⢡⣿⠁⠃⠀⠀⠀⠀⠀⠀⠀⠒⠿⣿⡿⠛⢀⢘⡄⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣔⣠⣿⣇⣢⣀⣄⣰⣾⣶⣿⣿⣄⣂⠀⠀⠀⠀⠠⠀⠠⡰⣠⣀⣀⣲⣵⣿⠋⠈⢻⣿⣭⣟⣿⣿⣿⡿⠁⠀⠀⠀⠙⠿⠿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⠇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠨⠃⠺⠿⠟⠋⠉⠀⠀⠀⠀⠻⣻⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠀⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡇⠀⠀⠀⠀⠀⠀⠹⠿⠃⡀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⡿⣿⣿⣇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡆⠂⠀⠀⠀⠀⠀⠀⠋⠉⡍⠀ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⡀⡀⢀⢀⣀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀ ⡟⢉⣽⠘⢋⢿⣿⣼⣿⣿⣿⣿⣷⣽⣿⡧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣲⣿⣿⣿⣿⣾⣬⣷⣫⡽⡿⣻⢿⣟⠿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⡶⢢⣡⢏⣧⢄⠀⠠⡀⡤⡀⠀⠠⡀⡤⡄⡤⡆⠀⣖⡂⣖⡆⡆⠀⡴⡀⡦⡦⠠⢄⠠⠄⣆⠄⠠⡦⡦⡄⡠⡆⠀⡄⢆⡀⡦⡄⡠⡄⡆⠤⡀⠀⣦⠤⣰⠤⡤⡄⡤⡤⡶⡱⠖⣦⠀⢦⣤⣦⠠⢴⣒⢰⡆⡠ ⣿⣿⣟⣷⣛⣝⣒⣛⣛⡀⠓⠃⠃⠃⠀⠓⠃⠃⣃⣓⣃⣀⣒⣃⣃⣀⣃⣐⣉⡁⠓⠑⠘⠚⠑⠂⠋⣂⣀⣓⣃⣃⣳⡂⠀⠙⠈⢡⣣⡄⡑⠃⡫⢖⣠⣀⣛⣀⣋⣒⣓⣂⣃⣃⣃⢛⣊⣓⣀⣙⣛⣚⣄⣒⢚⣘⣃⣓ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠻⠿⠿⠿⠛⠛⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣴⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡰⣿⠋⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⣟⢻⡇⠀⠀⢐⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠦⠤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣟⠛⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⣩⡅⠀⠈⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣈⣠⣯⠋⠀⣀⣠⣤⣤⣤⡀⠀⠀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣬⣶⣽⣿⠏⢠⣾⣿⣿⣿⣿⣿⣿⣷⣦⠀⢀⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⢛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢙⠛⠘⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠘⠘⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀ ⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢀⢀⣾⠇⡅⣿⡇⡎⢰⣷⣶⣅⢦⠙⣿⡇⣅⠀⠀⠀⠀⠀⠀⢀⣐⣾⣿⣿⣷⡘⢀⠀⣼⣿⣟⣿⣿⣿⣿⠿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢠⢃⣾⣿⠀⡇⣿⡇⡆⣿⣿⣿⣿⠀⠇⣿⠇⡷⠀⠀⠀⠀⠀⠀⠀⡤⣾⣿⣿⣿⡇⠐⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠛⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠇⣿⡇⡅⢿⣿⠿⢋⣰⢡⣿⠁⠃⠀⠀⠀⠀⠐⠀⠀⠋⠾⣿⡿⠛⢀⢐⡄⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣔⣢⣿⣇⣢⣀⣄⣰⣾⣾⣿⣿⣄⣂⠀⠀⠀⠀⠐⠂⢨⣀⣀⣀⣀⣲⣵⣿⠟⠉⢿⣿⡛⢿⣟⣻⣿⣿⠏⠀⠀⠀⠘⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⠑⠾⠿⠿⠚⠉⠁⠀⠀⠈⢿⣿⣿⣿⠟⡛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠀⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣯⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡇⠀⠀⠀⠀⠀⠀⠹⠿⠃⡀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⡿⣿⣿⣇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠖⠒⠀⠀⠀⠀⠀⠀⠉⠛⠏⠀ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⡀⡀⢀⢀⣀⡀⢀⠀⠀⡀⠀⠀⠀⡀⠀⠀⠀⣀⣀⠀ ⡟⢉⣽⠘⣛⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣲⣻⣿⣿⣿⣿⣼⣿⣫⡽⡿⣻⢿⣿⠛⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡿⢯⣩⣏⣏⣍⠀⡀⡀⡀⡀⠀⠀⡀⡠⡈⡨⡇⠉⣝⡋⡟⡍⡏⠉⡰⡀⡤⡤⠀⠀⠀⠀⣆⠀⠩⡭⡏⡉⡩⡇⠀⡄⢆⡀⡆⡀⡠⡀⡆⡨⡁⠉⣯⣩⣩⠍⡭⡙⡭⣯⡿⣫⡝⡬⠉⢯⣭⣭⠩⢽⣛⢰⡆⡠ ⣿⣿⣟⣿⣛⣝⣛⣛⣛⡀⠛⠃⠃⠃⠀⠛⠃⠃⣃⣓⣃⣀⣒⣃⣃⣀⣃⣐⣉⡃⠓⠓⠘⠛⠑⠂⠋⣂⣀⣓⣋⣃⣛⡃⠀⠙⠈⢡⣣⡄⡡⠃⠫⠋⣥⢀⣛⣀⣛⣒⣛⣃⣃⣃⣃⢛⣋⣓⣀⣻⣙⣛⣀⣒⢚⣘⣣⣛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠻⠿⠿⠿⠛⠛⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣴⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡰⣿⠋⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⣻⣿⡇⠀⠀⣐⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠛⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢩⡅⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣐⣤⣿⡏⠀⣠⣤⣤⣤⣤⣄⠀⠀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣼⣶⣽⣿⠏⢀⣾⣿⣿⣿⣿⣿⣿⣷⣦⠀⢀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⢛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢙⠋⠈⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⠘⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢀⢀⣾⠇⡅⣿⡇⡎⢰⣷⣶⣅⢦⠙⣿⡇⣅⠀⠀⠀⠀⠀⠀⠀⡐⣿⣿⣿⣷⡘⢀⠀⣸⣿⣿⣽⣿⣿⣿⣖⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢠⢃⣾⣿⠀⡇⣿⡇⡆⣿⣿⣿⣿⠀⠇⣿⠇⡷⠀⠀⠀⠀⠀⠀⠰⠲⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠋⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠇⣿⡃⡅⢿⣿⠿⢋⣰⢡⣿⠁⠃⠀⠀⠀⠀⠠⠀⠀⠛⠿⣿⡿⠟⢀⢘⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣔⣢⣿⣇⣢⣀⣄⣰⣾⣶⣿⣿⣄⣂⠀⠀⠀⠀⠀⠂⠈⠰⣠⢀⣀⣲⣵⣿⠏⠀⢻⣿⣭⣽⣿⣽⣿⡿⠃⠀⠀⠀⠙⠿⠿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⠇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠟⠉⠉⠀⠀⠀⠀⠻⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠀⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡇⠀⠀⠀⠀⠀⠀⠹⠿⠃⡀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⡿⣿⣿⣇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡖⠂⠀⠀⠀⠀⠀⠀⠛⠙⠁⠀ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⡀⡀⢀⢀⣀⡀⢀⠀⢀⠀⠀⠀⠀⡀⠀⠀⣀⣀⣀⠀ ⡟⢉⣽⠘⢋⣿⣿⣼⣟⣿⣿⣿⣿⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣲⣿⣿⣿⣿⣾⣬⣿⣫⡽⣿⣻⢿⣿⠛⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⡿⢭⣉⣋⣏⣉⠀⡀⡀⡀⡀⠀⡀⡀⣀⡉⣉⡏⠉⣍⠍⡍⡍⡍⠉⡩⡉⣅⣄⢀⡀⢀⠀⣆⠀⢉⣍⣏⡉⣉⡃⠀⡄⠄⡀⣆⡀⣀⡀⡎⣉⡉⠉⣍⣉⣩⣉⣍⡙⣉⣋⡩⣋⡙⣌⠉⣏⣩⣯⠩⢭⣭⢑⡆⣀ ⣿⣿⣏⣯⣛⣝⣙⣓⣚⡀⠋⠃⠃⠃⠀⠋⠃⠃⣃⣃⣃⣀⣂⣃⣋⣀⣃⣐⣉⡃⠃⠃⠈⠛⠑⠀⠋⣀⣀⣃⣇⣃⣻⡃⠀⠙⠈⢡⣣⡄⡃⠂⠫⣭⣥⢀⣛⣀⣛⣀⣋⣃⣃⣃⣃⢛⣋⣣⣀⣫⣙⣝⣄⣒⢘⣘⣃⣛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠛⠻⠿⠿⠿⠛⠛⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣴⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣰⣿⠋⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣾⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⢛⢿⡇⠀⠀⢰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠦⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠛⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣉⡅⠀⠈⠈⠀⠀⠀⠀⠀⠰⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣐⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣀⣂⣟⡏⠃⣠⣤⣤⣤⣤⣄⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣵⣴⣿⣿⡟⠀⣾⣿⣿⣿⣿⣿⣿⣿⣶⡀⢀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢋⢻⡟⡛⣿⡿⠛⡉⣉⡛⠛⢿⣿⣿⡟⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢙⠻⠑⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⠀⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀ ⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢀⢀⣾⠇⡅⣿⡇⡎⢰⣶⣶⣅⢦⠙⣿⡇⡄⠀⠀⠀⠀⠀⠀⢀⠄⣸⣿⣿⣷⡘⠀⠐⢸⣿⣿⣽⣿⣿⣿⣟⣻⣿⡇⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢁⣾⣿⠀⠇⣿⡇⡆⣿⣿⣿⣿⠀⠇⣿⠃⡷⠀⠀⠀⠀⠀⠀⢠⡤⣾⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠟⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡇⡅⢿⣿⠿⢋⣰⢡⣿⠁⠃⠀⠀⠀⠀⠀⠀⠀⠁⠿⣿⡿⠛⢀⢘⡄⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣇⣾⣿⣿⣿⣴⣠⣿⣇⣣⣀⣄⣰⣾⣾⣿⣿⣄⣂⠀⠀⠀⠀⠀⠀⠠⠄⣠⣀⣀⣲⣵⣿⡟⠁⠹⣿⣯⣭⣭⣽⣿⣿⠋⠀⠀⠀⠘⠿⢿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⡿⠆⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠓⠿⠯⠟⠋⠉⠁⠀⠀⠀⠙⣻⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠀⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡇⠀⠀⠀⠀⠀⠀⠙⠿⠋⣀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡖⠂⠀⠀⠀⠀⠀⠀⠙⠁⡋⠀ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⡀⡀⢀⢀⣀⡀⢀⠀⢀⡀⠀⠀⠀⠀⢀⡀⢀⣀⣀⡀ ⡏⢩⡽⠘⠋⣿⣿⣼⣿⣿⣿⣿⣿⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣲⣻⣿⣿⣿⣿⣬⣾⣫⡽⡿⣻⣿⢿⠿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⣿⣿⣿⣿⣿⣿⣿⣜⣇⣾⣿⣿⣿⣴⣢⣿⣇⣣⣀⣄⣰⣾⣾⣿⣿⣄⣂⠀⠀⠀⠀⠀⠀⠠⣔⢀⣀⣄⣲⣵⣿⡟⠉⢻⣿⣟⣿⣟⣻⣿⣿⠏⠀⠀⠀⠘⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⠇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠐⠅⠻⠿⠟⠉⠉⠀⠀⠀⠀⠻⣻⣿⣿⠟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⢯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠀⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡇⠀⠀⠀⠀⠀⠀⠛⠿⠃⡀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡖⠂⠀⠀⠀⠀⠀⠀⠛⠙⠋⠀ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⡀⡀⢀⢀⣀⡀⢀⡀⢀⡀⠀⢀⡀⠀⠀⠀⢀⢀⣀⠀ ⡏⢩⡽⠘⣛⣿⣿⣼⣟⣿⣿⣿⣿⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣲⣻⣿⣿⣿⣿⣾⣿⣫⡽⡿⣻⢿⣿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡯⢍⣉⡏⣍⡉⠁⢀⠀⣀⡀⠀⢀⠈⣉⡉⣉⡍⠉⡭⠍⡭⡍⡍⠉⣩⠉⣍⣅⢀⡀⢀⡀⡄⡈⢉⣍⣍⡉⣉⡁⠀⡄⡄⠀⣄⡀⢀⡈⡍⣉⠉⠉⣍⣉⢩⣉⣉⡹⣉⣙⣉⢉⡙⣝⠉⣏⣩⣫⠩⣩⣭⢩⡄⣀ ⣿⣿⡟⢯⠝⡿⠭⠿⠜⠀⠦⠇⠇⠇⠀⠦⠇⠇⠇⠧⠇⠀⠭⠇⠏⠁⠇⠠⠓⠃⠧⠣⠠⠼⠣⠄⠟⠄⠀⠧⢇⢇⣯⠅⠀⠡⠘⢣⣧⡅⠣⠁⠧⣭⣥⠀⠿⠀⠟⠤⠯⠅⠇⠇⠇⠻⠍⠧⠀⠫⡽⠽⡀⢬⢽⡸⢇⠯ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠛⠻⠿⠿⠿⠛⠛⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣴⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣰⣿⠋⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣾⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⡛⣻⡇⠀⠀⢸⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠦⠤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣟⠛⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⣩⡅⠀⠈⠈⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣐⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢠⣴⠊⠀⣀⣠⣠⣄⣀⠀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⣥⣾⣿⣿⠏⢠⣿⣿⣿⣿⣿⣿⣿⣶⡄⠀⡠⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢋⢻⡟⡛⣿⡟⢛⡉⣉⡛⠛⢿⣿⣿⡟⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢙⠛⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠃⠘⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀ ⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢀⢀⣾⠇⡅⣿⡇⡎⢰⣶⣶⣅⢢⠙⣿⡇⣄⠀⠀⠀⠀⠀⠀⠀⠄⢼⣿⣿⣷⡘⢀⠀⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⢀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢁⣾⣿⠀⠇⣿⡇⡆⣿⣿⣿⣿⠀⠇⣿⠃⡷⠀⠀⠀⠀⠀⠀⠰⡥⢿⣿⣿⣿⡇⠰⠀⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠸⠃⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡇⡅⢿⣿⠿⢋⣰⢡⣿⠁⠃⠀⠀⠀⠀⠐⠀⠀⠛⠿⣿⠿⠛⢀⢐⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣇⣾⣿⣿⣿⣴⣠⣿⣇⣣⣀⣄⣰⣾⣾⣿⣿⣄⣂⠀⠀⠀⠀⠀⠂⠢⠐⢠⣀⣐⣲⣵⣿⡟⠉⢿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠙⠿⢿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⡿⠇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠃⠻⠻⠿⠋⠉⠁⠀⠀⠈⠻⣿⣿⡿⠟⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⠉⣽⡏⣩⣥⡆⠠⣶⣦⢸⡟⠀⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡇⠀⠀⠀⠀⠀⠀⠹⠿⠃⡀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡖⠂⠀⠀⠀⠀⠀⠀⠋⠙⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⡀⡀⢀⢀⣀⡀⢀⠀⢀⡀⠀⠀⠀⠀⠀⡀⠀⢀⣀⡀ ⡏⢩⡽⠘⠛⣿⣿⣼⣟⣿⣿⣿⣷⣽⣿⡧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣲⣻⣿⣿⣿⣿⣼⣿⣫⡽⡿⣻⢿⣿⠿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡿⣟⣛⡛⣟⡉⠁⢀⠀⣀⠀⠀⢀⠈⣉⠉⢉⡍⠉⡽⠏⡽⡍⡍⠉⣩⠉⣉⣁⠀⡀⠀⡀⡄⡈⢙⣏⣝⡛⣛⡃⠀⡀⡄⠀⡄⠀⢀⠈⡍⢉⠉⠉⣍⢛⢻⣛⢛⠛⣛⣛⡻⢛⠛⣝⢋⣏⣿⣿⠻⣻⠿⢩⡄⢀ ⣿⣿⡗⢯⠽⡿⠾⠯⠼⠀⠦⠇⠇⠇⠀⠦⠇⠇⠇⠧⠇⠀⠭⠇⠏⠁⠇⠠⠓⠇⠧⠧⠰⠼⠢⠄⠟⠄⠀⠧⠇⢇⢷⡇⠀⠡⠘⢣⣧⡅⠣⠅⠧⣥⣥⠀⠿⠀⠿⠤⠷⠇⠇⠇⠇⠿⠏⠯⠠⠯⡽⠼⡄⠬⢽⡸⠇⠷ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠻⠿⠿⠿⠛⠛⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣴⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣰⣿⠋⠀⠀⠀⠈⠑⠒⠦⢤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣾⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⣻⢻⡇⠀⠀⢸⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠙⠒⠦⠤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣟⠛⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣍⣭⡇⠀⠈⠈⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣐⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣢⣶⣿⡟⢂⣠⣤⣤⣤⣤⣀⠀⠀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢠⢀⣭⣼⣿⣿⠏⢠⣾⣿⣿⣿⣿⣿⣿⣷⣦⠀⢀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢋⢻⡟⡛⣿⡿⢛⡉⣉⡛⠛⢿⣿⣿⡟⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢙⠋⠐⢸⣿⣿⣿⣿⣿⣿⡿⣿⣿⠀⠚⡘⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢀⢁⣾⠇⡅⣿⡇⡎⢰⣷⣶⣅⢦⠙⣿⡇⣅⠀⠀⠀⠀⠀⠀⠀⣄⣸⣿⣿⣷⡜⢀⠀⣾⣿⣯⣿⣿⣿⣿⣿⣿⣿⢀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢁⣾⣿⠀⠇⣿⡇⡆⣿⣿⣿⣿⠀⠇⣿⠇⡷⠀⠀⠀⠀⠀⠄⠠⣺⣾⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠃⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡇⡅⢿⣿⠿⢋⣰⢡⣿⠁⠃⠀⠀⠀⠀⠀⠀⠀⠛⠾⣿⡿⠛⢀⢘⡄⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣇⣾⣿⣿⣿⣴⣢⣿⣇⣣⣀⣄⣰⣾⣾⣿⣿⣄⣃⠀⠀⠀⠀⠀⠀⠠⣄⣠⣀⣐⣲⣵⣿⠟⠁⢻⣿⣭⣽⣯⣿⣿⡿⠃⠀⠀⠀⠙⠿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⠇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠸⠏⠿⠻⠿⠛⠉⠉⠀⠀⠀⠻⣻⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢯⠉⣽⡏⣩⣥⡆⠠⣶⣦⢸⡟⠀⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡇⠀⠀⠀⠀⠀⠀⠙⠿⠃⣀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡖⠒⠀⠀⠀⠀⠀⠀⠊⠉⠃⠀ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⣀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⡀⡀⢀⢀⣀⡀⢀⠀⢀⡀⠀⠀⢀⠀⠀⠀⢀⠀⣀⠀ ⡏⢩⡽⠘⠛⣿⣿⣼⣿⣿⣿⣿⣿⣽⣿⡧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣲⣻⣿⣿⣿⣷⣼⣴⣫⣽⣿⣻⢿⠿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡿⣟⡛⡛⣟⠛⠁⠀⠀⠀⠀⠀⠀⠈⠉⠙⠙⡏⠛⡻⡟⡿⡛⡟⠋⢫⠋⡉⡁⠀⠀⠀⠀⡄⠈⠛⡛⡟⠛⡛⠃⠀⡀⡀⠀⡄⠀⠀⠈⡍⠙⠛⠛⡛⠛⢛⠛⠛⠛⠛⠛⠛⠻⠛⣙⢋⣛⢛⢻⠻⣻⢿⡻⡖⠀ ⣿⣿⡟⠯⠽⡾⠿⠯⠽⠀⠗⠇⠇⠇⠀⠗⠇⠇⠇⠧⠇⠀⠭⠆⠗⠁⠇⠠⠓⠇⠇⠇⠰⠶⠪⠀⠟⠄⠀⠧⠏⢇⠷⡇⠀⠡⠀⢧⣧⡅⠧⠅⠧⢥⣥⠀⠿⠉⠿⠄⠷⠇⠇⠏⠇⠿⠗⠯⠀⠯⡹⢽⡄⠬⢵⠸⠇⠷ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠻⠻⠿⠿⠛⠛⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣴⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⡰⣿⠋⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣾⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⣛⣻⡇⠀⠀⢸⡞⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠦⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣅⣹⡅⠀⠈⠀⠀⠀⠀⠀⠀⠰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⣤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣐⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⠏⢀⣠⣤⣤⣤⣤⡀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣔⣶⣿⣿⠏⢠⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⢀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢋⢻⡟⡛⣿⡿⢛⡉⣉⡛⠛⢿⣿⣿⡟⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢙⠋⠈⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠘⠘⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢀⢀⣾⠇⡅⣿⡇⡎⢰⣷⣶⣅⢦⠙⣿⡇⣅⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣷⡘⢀⠀⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢁⣾⣿⠀⠇⣿⡇⡆⣿⣿⣿⣿⠀⠇⣿⠇⡷⠀⠀⠀⠀⠀⠀⠠⣄⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠋⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡇⡅⢿⣿⠿⢋⣰⢡⣿⠁⠃⠀⠀⠀⠀⠀⠀⠀⠚⠿⣿⡿⠛⢀⢘⡄⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣇⣾⣿⣿⣿⣴⣠⣿⣇⣣⣀⣄⣰⣾⣾⣿⣿⣄⣂⠀⠀⠀⠀⠀⠀⠨⢀⢠⣀⣀⣲⣵⣿⠟⠉⢿⣿⣿⣿⣯⣿⣿⡿⠃⠀⠀⠀⠘⠿⠿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⠇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠂⠋⠹⠻⠟⠋⠉⠁⠀⠀⠈⠻⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⠉⣽⡏⣩⣥⡆⠠⣶⣦⢸⡟⠀⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡇⠀⠀⠀⠀⠀⠀⠹⠿⠃⣀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡖⠂⠀⠀⠀⠀⠀⠀⠛⠻⡋⠀ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⡀⡀⢀⢀⣀⡀⢀⠀⢀⡀⠀⢀⠀⠀⠀⡀⣀⣀⣀⠀ ⡏⢩⡽⠘⠛⣿⣿⣼⣿⣿⣿⣿⣿⣽⣿⡧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣲⣻⣿⣿⣿⣷⣼⣴⣫⡽⣿⣻⢿⠟⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣻⣛⡛⡛⣟⠛⠃⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⡟⠛⣛⡛⣛⡛⡛⠛⢛⠛⡋⡃⠀⠀⠀⠒⡀⠘⠛⡛⡟⠛⡛⠃⠀⡀⡀⠀⡀⠀⠀⠚⡟⠛⠛⠛⡛⠛⢛⠛⠛⠛⠛⢛⠛⠻⠛⣛⡋⢛⡟⢿⠻⣛⣛⢻⡖⠒ ⣿⣿⡟⣧⡽⡾⡻⡯⡹⠀⠟⠇⠏⠇⠀⠟⠇⠏⡇⢏⡇⠀⢍⠆⡗⠃⡇⢀⠇⠇⢏⠏⠘⠳⠊⠁⠷⡁⠈⣏⡏⣇⢿⡇⠀⠡⠀⢧⣯⡅⠯⠁⠧⢿⣧⠀⢿⠉⡾⡉⢟⠇⠏⡏⡇⢟⡓⣏⠀⢯⣹⡽⡄⢭⣰⣸⡇⢿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠚⠻⠻⠿⠿⠛⠛⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣴⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢏⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣰⣿⠋⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣾⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⢛⢛⡇⠀⠀⢘⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠦⠤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣈⡁⠀⠈⠀⠀⠀⠀⠀⠀⠰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣐⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠊⢀⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠐⡀⣬⣴⣿⣿⠏⢠⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢋⢻⡟⡛⣿⡿⢛⡉⣉⡛⠛⢿⣿⣿⡟⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢙⠋⠈⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠘⠘⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀ ⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢀⢀⣾⠇⡅⣿⡇⡎⢰⣶⣶⣅⢢⠙⣿⡇⣄⠀⠀⠀⠀⠀⠀⠀⡐⣽⣷⣿⣷⡘⢀⠀⣾⣿⣟⣿⣿⣿⣿⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢁⣾⣿⠀⠇⣿⡇⡆⣿⣿⣿⣿⠀⠇⣿⠃⡷⠀⠀⠀⠀⠀⠀⢐⡤⢼⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⠋⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡇⡅⢿⣿⠿⢋⣰⢡⣿⠁⠃⠀⠀⠀⠀⠀⠀⠀⠋⠿⢿⡿⠛⢀⢘⡄⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣇⣾⣿⣿⣿⣴⣠⣿⣇⣣⣀⣄⣰⣾⣾⣿⣿⣄⣂⠀⠀⠀⠀⠠⠂⠀⠐⣠⣀⣐⣲⣵⣿⠟⠉⢿⣿⣿⣽⣿⣿⣿⡿⠃⠀⠀⠀⠘⠿⢿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⡿⠆⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⠉⠻⠻⠟⠋⠉⠁⠀⠀⠀⠻⣻⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⠉⣽⡏⣩⣥⡆⠠⣶⣦⢸⡟⠀⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡇⠀⠀⠀⠀⠀⠀⠙⠿⠋⣀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡖⠂⠀⠀⠀⠀⠀⠀⠛⠙⡍⠀ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⡀⣀⣀⣀⡀⣀⣀⠀⡀⡀⢀⢀⣀⡀⢀⠀⠀⠀⠀⠀⢀⣀⢀⠀⢀⢀⣀⡀ ⡏⢩⣝⠙⢛⣿⣿⣼⣿⣿⣿⣿⣿⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣲⣻⣿⣿⣿⣿⣼⣼⣫⡽⣿⣻⢿⢿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⣻⣛⡛⢟⣛⠛⠃⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⡛⠛⣛⡛⣛⡛⡛⠛⢛⠛⡛⡃⠀⠀⠀⠒⡀⠘⠛⡛⡛⠛⡛⠇⠀⡀⡀⠀⡀⠀⠀⠚⡛⠛⠛⠛⡛⠛⢛⠛⠛⠻⠛⢛⠻⠛⠛⣛⡋⢛⡟⢿⠻⢛⣛⣛⡓⠒ ⣿⣿⡗⣯⡹⣾⣓⣿⡱⠀⣜⡇⡏⡇⠀⣝⡆⡏⡇⣏⡇⠀⣓⡆⡗⠃⡇⢀⠧⢆⣏⢏⢈⣳⢎⡁⡷⡁⠈⣏⡏⣇⣿⡃⠀⢃⠡⢧⣯⡅⢎⠁⡧⣍⡂⠀⣿⠉⡾⣉⣟⡃⠏⡏⡏⢟⡋⣏⠀⢯⣹⣹⡄⣝⣲⢸⣇⣟ ⣿⣿⣿⣿⣾⣾⣷⣶⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠲⠶⠶⠶⠒⠒⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣾⣿⣿⣾⣿⡇⠀⠀⠀⠀⣴⣶⠖⠀⠀⠀⠀⠀⠀⠐⠒⠶⢶⣶⣾⣾⣧⣶⣖⣴⢲⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣰⣿⠋⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣾⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⣛⣻⡃⠀⠀⢘⡞⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠦⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠛⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢨⡅⠀⠈⠀⠀⠀⠀⠀⠀⠰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣐⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣰⣟⠏⢀⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣼⣿⣿⡏⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⡀⢠⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢋⢻⡟⡛⣿⡿⢛⡉⣉⡛⠛⢿⣿⣿⡟⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢙⠛⠁⢸⣿⣿⣿⣿⣿⣿⠿⣿⣿⠇⠘⠒⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀ ⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢀⢀⣾⠇⡅⣿⡇⡎⢰⣷⣶⣅⢦⠙⣿⡇⣅⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣷⡘⢀⠀⣸⣿⣿⣿⣿⣿⣿⡿⣿⣿⡄⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢁⣾⣿⠀⠇⣿⡇⡆⣿⣿⣿⣿⠀⠇⣿⠇⡷⠀⠀⠀⠀⠀⠀⠠⢇⣼⣿⣿⣿⡇⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠋⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡇⡅⢿⣿⠿⢋⣰⢡⣿⠁⠃⠀⠀⠀⠀⠠⠀⠀⠓⠿⣿⠿⠛⢀⢘⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣇⣾⣿⣿⣿⣴⣠⣿⣇⣣⣀⣄⣰⣾⣾⣿⣿⣄⣂⠀⠀⠀⠀⠀⠀⠠⠔⣠⣀⣐⣲⣵⣿⠟⠁⢻⣿⣿⣿⣯⣿⣿⡿⠃⠀⠀⠀⠘⠿⠿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⠇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠁⠻⠿⠟⠋⠉⠁⠀⠀⠀⠙⢻⣿⡿⠟⠋⠈⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⠉⣽⡏⣩⣥⡆⠠⣶⣦⢸⡟⠀⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡇⠀⠀⠀⠀⠀⠀⠹⠿⠃⡀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡖⠂⠀⠀⠀⠀⠀⠀⠛⠘⡋⠀ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⡀⡀⢀⢀⣀⡀⢀⠀⠀⡀⠀⢀⠀⠀⠀⢀⣀⣀⣀⠀ ⡏⢩⡽⠙⠋⣿⣿⣼⣿⣿⣿⣿⣿⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣲⣻⣿⣿⣿⣿⣬⣾⣫⡽⡿⣻⣿⢿⠿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣻⣛⡛⡛⣛⠛⠃⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⡛⠛⣛⡛⣛⡛⡛⠛⢛⠛⡛⡃⠀⠀⠀⠒⡀⠘⠛⡛⡛⠛⡛⠃⠀⠀⡀⠀⡀⠀⠀⠚⡛⠛⠛⠛⡛⠛⢛⠛⠛⠛⠛⢛⠛⠛⠛⣛⢋⢛⡛⢛⠛⢛⣛⣛⡓⠒ ⣿⣿⡟⣯⣸⣾⣵⣟⡱⠀⣌⡆⡏⡆⠀⣌⡆⡏⡆⣎⡇⠀⣓⡆⡗⠃⡇⢀⠯⠆⣏⢏⢨⣱⢄⡁⡷⡁⠈⣏⡏⣧⣯⡇⠀⢃⠡⢦⣯⡅⣮⡀⡧⣉⣦⠀⣿⠉⣾⡉⣯⡃⠏⡏⡇⢞⡋⣏⠀⣯⣹⣱⡄⣙⣲⢸⡇⣯ ⣿⣿⣷⣷⣶⣶⣶⣶⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠲⠶⠶⠶⠒⠒⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣾⣶⣾⣿⡆⠀⠀⠀⠀⣴⣶⠖⠀⠀⠀⠀⠀⠀⠐⠒⠶⢶⣶⣶⣶⣦⣶⣖⣴⢲⢦⣶⣖⣷⣶⣾⣿⣶⣶ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⡰⣿⠋⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣾⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠛⢻⡇⠀⠀⢘⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣟⠛⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢀⣉⠩⡁⠀⠈⠀⠀⠀⠀⠀⠀⠰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣐⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢴⣾⡏⢀⣤⣤⣤⣤⣤⣄⡀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢠⠠⣎⣷⣿⣿⠏⢠⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢋⢻⡟⡛⣿⡿⢛⡉⣉⡛⠛⢿⣿⣿⡟⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢙⠋⠈⢸⣿⣿⣿⣿⣿⣿⠿⣿⣿⠃⠘⡘⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⣧⢢⠘⣿⣿⡿⢀⢁⣾⠇⡅⣿⡇⡎⢰⣷⣶⣅⢢⠙⣿⡇⣅⠀⠀⠀⠀⠀⠀⠀⡐⣼⣿⣿⣷⡘⢀⠀⣼⣿⣯⣿⣿⣿⣿⢻⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢁⣾⣿⠀⠇⣿⡇⡆⣿⣿⣿⣿⠀⠇⣿⠃⡷⠀⠀⠀⠀⠀⠀⠠⡤⣿⣿⣿⣿⡇⢀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠋⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡇⡅⢿⣿⠿⢋⣰⢡⣿⠁⠃⠀⠀⠀⠀⠀⠀⡀⠒⠿⣿⡿⠛⢀⢘⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣇⣾⣿⣿⣿⣴⣢⣿⣇⣣⣀⣄⣰⣾⣾⣿⣿⣄⣂⠀⠀⠀⠀⠀⠀⠂⠐⣠⣀⣐⣲⣵⣿⠟⠁⢻⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠘⠿⢿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⠇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⠉⠻⠿⠟⠋⠉⠀⠀⠀⠀⠙⣻⡿⠟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⠉⣽⡏⣩⣥⡆⠠⣶⣦⢸⡟⠀⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡇⠀⠀⠀⠀⠀⠀⠙⠿⠃⡀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡖⠂⠀⠀⠀⠀⠀⠀⠉⠉⠏⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⡀⡀⢀⢀⣀⡀⢀⠀⠀⡀⠀⢀⠀⠀⠀⠀⢀⣀⣀⠀ ⡏⢩⡽⠘⠛⣿⣿⣼⣿⣿⣿⣿⣷⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣲⣻⣿⣿⣿⣿⣼⣿⣫⡽⡿⣻⢿⣿⠿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡿⠿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠘⠛⠻⠟⡿⠟⢿⡿⣿⠟⡿⠟⢟⠛⠛⠃⠀⠀⠀⠒⡀⠘⠿⠿⡟⠿⡿⠇⠀⠀⡀⠀⡀⠀⠀⠚⡻⠻⠿⠿⡿⠿⠿⠿⠿⠿⠿⢿⠿⠿⠟⢻⡏⠟⡿⢿⠿⢿⣿⢿⡶⠶ ⣿⣿⡟⣧⣹⣾⣵⣗⣱⠀⣦⡆⡆⡆⠀⣤⡆⡆⡆⣆⡇⠀⣓⡆⡇⠃⡇⢀⠮⡆⣇⣇⢠⣤⢔⡀⡷⡀⠀⣏⣟⣇⣮⡆⠀⢃⢡⢤⣧⡄⣆⡂⡧⣬⣦⠀⣷⠚⣾⡁⣮⡆⠎⡟⡏⣾⡧⣟⠀⣯⣹⣱⡄⣙⣲⢸⡇⣮ ⣿⣿⣷⣷⣶⣶⣶⣶⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠲⠶⠶⠶⠒⠒⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣾⣶⣶⣷⡆⠀⠀⠀⠀⣴⣶⠖⠀⠀⠀⠀⠀⠀⠐⠒⠶⢶⣶⣶⣶⣦⣶⣖⣴⢲⢦⣶⢗⣷⣶⣾⣾⣶⣶ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣰⣿⠋⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣾⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⣻⣻⡃⠀⠀⢸⡝⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠦⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠛⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣁⠉⡇⠀⠈⠀⠀⠀⠀⠀⠀⠰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣐⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⡠⣿⡌⠂⣠⣤⣤⣤⣤⣄⠀⠀⠀⠀⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⣶⣿⣿⡏⠀⣾⣿⣿⣿⣿⣿⣿⣿⣷⡀⢀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢋⢻⡟⡛⣿⡟⢛⡉⣉⡛⠛⢿⣿⣿⡟⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢙⠛⠁⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⢀⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⣧⢢⠘⣿⣿⡿⢀⢁⣾⠇⡅⣿⡇⡎⢰⣷⣶⣅⢢⠙⣿⡇⡅⠀⠀⠀⠀⠀⠀⠀⣄⣴⣿⣿⣵⡘⢀⠈⢸⣿⣿⣿⣿⣿⣿⡿⣿⣿⡇⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢁⣾⣿⠀⠇⣿⡇⡆⣿⣿⣿⣿⠀⠇⣿⠃⡷⠀⠀⠀⠀⠀⠀⢰⣌⢽⣿⣿⣿⡇⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠛⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡇⡅⢿⣿⠿⢋⣰⢡⣿⠁⠃⠀⠀⠀⠀⠀⠀⠀⠚⠿⣿⡿⠛⢀⢘⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣇⣾⣿⣿⣿⣴⣢⣿⣇⣣⣀⣄⣰⣾⣾⣿⣿⣄⣂⠀⠀⠀⠀⠀⠀⠨⡴⣠⣀⣀⣲⣵⣿⡟⠁⢻⣿⣍⣉⣭⣽⣿⡿⠃⠀⠀⠀⠘⠿⠿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⠇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⠡⠻⠿⠿⠋⠉⠀⠀⠀⠀⠻⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⠉⣽⡏⣩⣥⡆⠠⣶⣦⢸⡟⠀⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡇⠀⠀⠀⠀⠀⠀⠛⠿⠃⡀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡖⠂⠀⠀⠀⠀⠀⠀⠙⠩⣀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⡀⡀⢀⢀⣀⡀⢀⠀⢀⡀⠀⠀⠀⣀⠀⠀⣀⢀⣀⠀ ⡏⢩⡽⠘⢛⣿⣿⣼⣿⣿⣿⣿⣷⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣲⣻⣿⣿⣿⣿⣼⣿⣫⡽⡿⣻⢿⣿⠿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠿⢿⡿⡿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠘⠻⠿⠿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠃⠀⠀⠀⠒⡀⠘⠿⠿⡿⠿⡿⠇⠀⠀⠀⠀⡀⠀⠠⠾⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠿⠯⢿⡿⠿⠿⢿⣿⣿⡶⠶ ⣿⣿⡗⣯⣹⣴⢶⣗⣲⠀⡦⡆⡖⡆⠀⡦⡆⡖⡆⡖⡇⠀⡓⡅⡧⠃⡇⢀⠎⡆⡗⡗⠰⣦⢔⠀⡧⡂⠐⡗⡟⣇⣶⡆⠀⢃⢁⣤⣧⡆⡤⡂⡇⣤⣤⠀⣷⠒⣼⠂⡶⡆⠖⡖⡎⣾⡮⡗⠀⣿⣹⣳⡄⣙⢪⢸⡇⡶ ⣿⣿⣷⣿⣶⣶⣷⣶⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠲⠶⠶⠶⠒⠒⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣾⣷⣾⣿⡆⠀⠀⠀⠀⣶⣶⠖⠀⠀⠀⠀⠀⠀⠐⠒⠶⢶⣶⣶⣶⣦⣶⣖⣴⢲⢮⣿⢟⣷⣺⣷⣿⣷⣾ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⡰⣿⠋⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣾⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⣛⢻⡇⠀⠀⢸⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠦⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠛⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⢩⡇⠀⠈⠀⠀⠀⠀⠀⠀⠰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣐⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣿⡟⠂⣠⣤⣤⣤⣤⣄⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⣬⣣⣽⣿⡟⠀⣾⣿⣿⣿⣿⣿⣿⣿⣶⡀⢀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢋⢻⡟⡛⣿⡟⢛⡉⣉⡛⠛⢿⣿⣿⡟⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢙⠛⠀⢡⣿⣿⣿⣿⣿⣿⡿⢿⣿⡇⠘⠀⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⣧⢢⠘⣿⣿⡿⢀⢁⣾⠇⡅⣿⡇⡎⢰⣷⣶⣅⢢⠙⣿⡇⡅⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣷⡘⢀⠉⢸⣿⣯⣿⣿⣿⣿⡿⣿⣿⡇⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢁⣾⣿⠀⠇⣿⡇⡆⣿⣿⣿⣿⠀⠇⣿⠃⡷⠀⠀⠀⠀⠀⠀⠠⠇⣼⣿⣿⣿⡇⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠛⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡇⡅⢿⣿⠿⢋⣰⢡⣿⠁⠃⠀⠀⠀⠀⠀⠀⠀⠒⠿⣿⡿⠛⢀⢘⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣇⣾⣿⣿⣿⣴⣢⣿⣇⣣⣀⣄⣰⣾⣾⣿⣿⣄⣂⠀⠀⠀⠀⠐⠀⠠⡐⣠⣀⣀⣲⣵⣿⠟⠁⢻⣿⣯⣿⣯⣿⣿⡿⠃⠀⠀⠀⠘⠿⠿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⡿⠄⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⠓⠻⠿⠟⠋⠉⠀⠀⠀⠀⠙⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⠉⣽⡏⣩⣥⡆⠠⣶⣦⢸⡟⠀⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡇⠀⠀⠀⠀⠀⠀⠙⠿⠃⡀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡖⠂⠀⠀⠀⠀⠀⠀⠚⠫⠋⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⡀⡀⢀⢀⣀⡀⢀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀ ⡏⢩⡽⠘⠛⣿⣿⣼⣟⣿⣿⣿⣷⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣲⣻⣿⣿⣿⣿⣼⣿⣫⡽⡿⣻⢿⣿⠿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡿⢿⡿⣿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠸⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠧⠀⠀⠀⠒⠀⠸⠿⠿⠿⠿⡿⠇⠀⠀⠀⠀⠀⠀⠠⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠿⠯⢿⡿⢿⠿⠿⡿⠿⠶⠶ ⣿⣿⡟⣯⢱⣴⠶⣗⢢⠀⡲⡆⡖⡆⠀⡲⡆⡖⡆⡖⡇⠀⠫⡅⡯⠇⡇⠀⣎⡄⡗⡗⠰⢦⡔⠂⣧⠂⠐⡗⡗⣇⡶⠆⠀⢇⢁⣤⣷⡆⡴⡄⡇⣶⣤⠀⣷⠒⣼⠒⡶⠆⠖⡖⡆⡶⠎⡗⠠⡿⣻⢳⠄⠺⢭⢸⣇⡶ ⣿⣿⣷⣿⣷⣾⣿⣿⣷⣄⠉⠁⠁⠁⠀⠉⠁⠁⠁⠉⠁⠠⠭⠥⠥⠀⠁⠈⠀⠀⠉⠈⠈⠉⠈⠁⠁⣵⣶⣿⣷⣿⣿⡇⠀⠈⠀⠀⣥⣤⠌⠀⠁⠈⠀⠀⠉⠀⠓⠿⢿⣷⣷⣷⣧⣾⣗⣽⢲⢮⣿⣟⣷⣿⣿⣿⣷⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣰⣿⠋⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣾⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⡛⣻⡇⠀⠀⢸⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠛⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⣌⡇⠀⠈⠀⠀⠀⠀⠀⠀⠰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⣤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣐⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣔⣿⠏⠂⣠⣤⣤⣤⣤⣄⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠠⢠⣤⣶⣾⣿⠏⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⠀⢀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢋⢻⡟⡛⣿⡟⢛⡉⣉⡛⠛⢿⣿⣿⡟⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢙⠋⠈⢸⣿⣿⣿⣿⣿⣿⡿⢿⣿⠇⠘⠘⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⣧⢢⠘⣿⣿⡿⢀⢁⣾⠇⡅⣿⡇⡎⢰⣷⣶⣅⢢⠙⣿⡇⡅⠀⠀⠀⠀⠀⠀⠀⡀⣼⣿⣿⣷⡘⢀⠀⢸⣿⣯⣿⣿⣿⣿⡿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢁⣾⣿⠀⠇⣿⡇⡆⣿⣿⣿⣿⠀⠇⣿⠃⡷⠀⠀⠀⠀⠀⠀⠠⣇⣿⣿⣿⣿⡇⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠋⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡇⡅⢿⣿⠿⢋⣰⢡⣿⠁⠃⠀⠀⠀⠀⠠⠀⠀⠐⠿⣿⡿⠛⢀⢘⡄⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣇⣾⣿⣿⣿⣴⣢⣿⣇⣣⣀⣄⣰⣾⣾⣿⣿⣄⣂⠀⠀⠀⠀⠀⠀⠠⠐⢠⣀⣀⣲⣵⣿⠟⠁⢻⣿⣿⣭⣽⣿⣿⡿⠁⠀⠀⠀⠙⠿⢿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⠇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠟⠋⠉⠀⠀⠀⠀⠙⣻⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⠉⣽⡏⣩⣥⡆⠠⣶⣦⢸⡟⠀⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⠿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡇⠀⠀⠀⠀⠀⠀⠙⠿⠃⡀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡖⠂⠀⠀⠀⠀⠀⠀⠋⠓⡇⠀ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⡀⡀⢀⢀⣀⡀⢀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀ ⡏⢩⡽⠙⠛⣿⣿⣼⣟⣿⣿⣿⣷⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣲⣻⣿⣿⣿⣿⣼⣿⣫⡽⡿⣻⢿⣿⠿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⠿⢿⡿⠿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠸⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠯⠣⠀⠀⠀⠒⠀⠸⠿⠿⠿⠿⡿⠇⠀⠀⠀⠀⠀⠀⠠⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⢿⢯⠿⠿⠿⠿⠿⡿⠿⠶⠶ ⣿⣿⡏⣯⢱⡴⠦⣷⢢⠀⡐⡄⡖⡆⠀⡐⡄⡖⡆⡖⡇⠀⠯⡅⡯⠇⡇⠀⣞⡄⡗⡗⠐⢢⡔⠂⣧⠂⠐⡗⡟⡇⣶⡆⠀⠇⢁⣤⣧⡄⡴⡄⡇⣤⣤⠀⣷⠒⣼⠒⡶⠄⠖⡖⡆⡞⠆⡿⠀⡿⣳⢣⡄⠺⢽⣸⡇⡶ ⣿⣿⣧⣯⣷⣬⣭⣭⣥⣄⠉⠁⠁⠁⠀⠉⠁⠁⠁⠉⠁⠠⠭⠥⠥⠀⠁⠈⠀⠀⠉⠈⠈⠉⠈⠁⠁⣥⣤⣭⣥⣵⣯⡅⠀⠈⠀⠀⣥⣤⠌⠁⠁⠉⠀⠀⠉⠀⠁⠭⢭⣥⣥⣥⣥⣬⣅⣭⢠⢭⣭⢏⣥⣿⣿⣬⣥⣭ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣰⣿⠋⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣾⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⢛⣻⡇⠀⢀⢰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠦⠤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣟⠛⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⣉⣩⡇⠀⠈⠀⠀⠀⠀⠀⠀⠰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣐⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⣿⠏⠀⣠⣤⣤⣤⣤⣀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣽⣶⣿⣿⠇⢠⣾⣿⣿⣿⣿⣿⣿⣿⣦⡀⢀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢋⢻⡟⡛⣿⡟⢛⡉⣉⡛⠛⢿⣿⣿⡟⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢙⠋⠈⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⠀⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀ ⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢀⢀⣾⠇⡅⣿⡇⡎⢰⣷⣶⣅⢢⠙⣿⡇⣅⠀⠀⠀⠀⠀⠀⢀⣔⣴⣿⣿⣷⡘⢀⠀⣸⣿⣟⣻⣿⣿⣿⡷⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢁⣾⣿⠀⠇⣿⡇⡆⣿⣿⣿⣿⠀⠇⣿⠃⡷⠀⠀⠀⠀⠀⠀⠨⣟⢻⣿⣿⣿⡇⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠛⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡇⡅⢿⣿⠿⢋⣰⢡⣿⠁⠃⠀⠀⠀⠀⠀⠀⠀⠚⠿⣿⡿⠛⢀⢘⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣇⣾⣿⣿⣿⣴⣠⣿⣇⣣⣀⣄⣰⣾⣾⣿⣿⣄⣂⠀⠀⠀⠀⠀⠀⠀⠐⢠⣀⣐⣲⣵⣿⠟⠁⢻⣿⣯⣿⣿⣿⣿⡿⠋⠀⠀⠀⠙⠿⢿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⡿⠇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠋⠾⠟⠟⠋⠉⠁⠀⠀⠀⠛⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⠉⣽⡏⣩⣥⡆⠠⣶⣦⢸⡟⠀⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡇⠀⠀⠀⠀⠀⠀⠙⠿⠃⣀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡖⠒⠀⠀⠀⠀⠀⠀⠋⠳⠋⠀ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⡀⡀⢀⢀⣀⡀⢀⠀⠀⡀⠀⢀⠀⠀⠀⠀⣀⣀⣀⠀ ⡏⢩⡽⠙⠛⣿⣿⣼⣟⣿⣿⣿⣷⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣲⣻⣿⣿⣿⣿⣼⣿⣫⡽⡿⣻⢿⣿⠿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠀⠀⠀⠀⠀⠸⠿⠿⠿⠿⠿⠿⢿⠿⠿⠿⠿⠿⠿⠿⠧⠀⠀⠀⠒⠀⠸⡿⣿⡿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠠⠾⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡟⣯⢳⣴⣢⣧⢢⠀⣐⡄⡆⡄⠀⣐⡄⡖⡄⡔⡇⠀⠮⡅⡏⠇⡇⠀⣜⡄⡖⡖⢀⣂⡀⠂⣧⠂⠐⡖⣗⣇⣶⡆⠀⠄⢁⣤⣧⡄⡤⡄⣧⢠⣤⠀⣷⠔⣼⠒⣔⡄⠖⡖⡆⣞⡆⡗⠀⡾⣹⢢⡄⢺⢍⢸⡇⣔ ⣿⣿⣧⣯⣿⣬⣭⣭⣭⣄⠉⠁⠁⠁⠀⠉⠁⠁⠁⠉⠁⠠⠭⠥⠥⠀⠁⠈⠀⠀⠉⠉⠈⠉⠈⠁⠁⣥⣤⣭⣥⣽⣯⡅⠀⠈⠀⠀⣥⣤⠄⠁⠁⠁⠀⠀⠉⠀⠉⠭⢭⣥⣥⣥⣥⣭⣅⣭⢠⢭⣭⢏⣥⣯⣿⣬⣥⣭ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣰⣿⠋⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣾⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⣛⢻⡇⠀⠀⢰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠦⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠛⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣁⢙⡇⠀⠈⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣐⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⣿⠊⢀⣠⣤⣤⣤⣤⣀⠀⠀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣷⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⣮⣯⣯⣿⠏⢀⣾⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢋⢻⡟⡛⣿⡿⢛⡉⣉⡛⠛⢿⣿⣿⡟⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢙⠋⠈⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠚⡘⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢀⢁⣾⠇⡅⣿⡇⡎⢰⣷⣶⣅⢢⠙⣿⡇⣅⠀⠀⠀⠀⠀⠀⠀⠠⢷⣿⣿⣷⡘⢀⠀⣸⣿⣟⣿⣿⣿⣿⠶⣿⣿⠀⠀⠁⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢁⣾⣿⠀⠇⣿⡇⡆⣿⣿⣿⣿⠀⠇⣿⠃⡷⠀⠀⠀⠀⠀⠀⠰⡦⣿⣿⣿⣿⡇⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠃⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡇⡅⢿⣿⠿⢋⣰⢡⣿⠁⠃⠀⠀⠀⠀⠀⠀⠀⠒⠻⣿⡿⠛⢀⢘⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣇⣾⣿⣿⣿⣴⣢⣿⣇⣣⣀⣄⣰⣾⣾⣿⣿⣄⣃⠀⠀⠀⠀⠠⠄⠢⣐⣀⣀⣐⣲⣵⣿⠟⠁⢻⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠙⠿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡆⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠋⠻⠛⠟⠉⠉⠀⠀⠀⠀⠙⣻⣿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢯⠉⣽⡏⣩⣥⡆⠠⣶⣦⢸⡟⠀⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡇⠀⠀⠀⠀⠀⠀⠙⠿⠃⡀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠖⠒⠀⠀⠀⠀⠀⠀⠙⠉⡁⠀ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⡀⡀⢀⢀⣀⡀⢀⠀⢀⡀⠀⠀⢀⠀⠀⠀⢀⣀⣀⠀ ⡏⢩⡽⠙⢛⣿⣿⣼⣟⣿⣿⣿⣷⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣲⣻⣿⣿⣿⣿⣼⣿⣫⡽⡿⣻⢿⣿⠿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠸⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠯⠣⠀⠀⠀⠒⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠠⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡗⣯⢳⣤⣤⡧⢤⠀⣄⡄⡄⡄⠀⣄⡄⡄⡄⡄⡇⠀⠮⡀⣏⠆⡇⠀⣔⡄⡆⡆⢀⣀⡠⠀⣧⠀⠀⡆⣧⣅⣦⡄⠀⠄⢂⣠⣧⡄⡤⡄⣧⣤⣤⠀⣦⠤⣰⠀⣤⡄⠄⡤⡄⣖⡄⡿⠀⡮⣡⢥⡄⠺⢜⢨⡇⣤ ⣿⣿⣧⣯⣿⣬⣭⣭⣭⣄⠁⠁⠁⠁⠀⠁⠁⠁⠁⠁⠁⠠⠥⠥⠥⠀⠁⠈⠀⠁⠁⠁⠈⠉⠈⠀⠁⣥⣤⣭⣥⣵⣯⡅⠀⠈⠀⠀⣥⣤⠄⠁⠁⠀⠀⠀⠉⠀⠉⠥⢭⣥⣥⣥⣥⣭⣅⣥⢠⢭⣭⣏⣥⣯⣽⣭⣥⣭ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣰⣿⠋⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣾⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⣛⣻⡇⠀⠀⢸⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠦⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠛⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣉⡇⠀⠈⠈⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⣤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣐⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣀⣿⠟⠀⣀⣠⣤⣄⣀⡀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣷⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣼⣿⣿⠏⢠⣾⣿⣿⣿⣿⣿⣿⣶⣆⠀⡀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢋⢻⡟⡛⣿⡟⢛⡉⣉⡛⠛⢿⣿⣿⡟⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢙⠛⠈⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠓⠘⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢀⢀⣾⠇⡅⣿⡇⡎⢰⣶⣶⣅⢢⠙⣿⡇⣄⠀⠀⠀⠀⠀⠀⠀⠐⢾⣿⣿⣷⡘⢀⠀⣼⣿⠿⣿⣿⣿⣿⣽⣿⣿⢀⠀⠁⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢁⣾⣿⠀⠇⣿⡇⡆⣿⣿⣿⣿⠀⠇⣿⠃⡷⠀⠀⠀⠀⠀⠀⢠⠖⢾⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⠸⠃⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡇⡅⢿⣿⠿⢋⣰⢡⣿⠁⠃⠀⠀⠀⠀⠀⠀⠀⠂⠿⣿⡿⠛⢀⢘⡄⢹⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣇⣾⣿⣿⣿⣴⣠⣿⣇⣣⣀⣄⣰⣾⣾⣿⣿⣄⣂⠀⠀⠀⠀⠀⠀⠲⣄⢠⣀⣐⣲⣵⣿⠟⠉⢿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠙⠿⢿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⡿⠆⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⠁⠺⠻⠟⠋⠉⠀⠀⠀⠈⠻⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⠉⣽⡏⣩⣥⡆⠠⣶⣦⢸⡟⠀⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡇⠀⠀⠀⠀⠀⠀⠙⠿⠃⡀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡖⠒⠀⠀⠀⠀⠀⠀⠋⠐⠃⠀ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⡀⡀⢀⢀⣀⡀⢀⠀⢀⡀⠀⠀⠀⡀⠀⠀⠀⠀⣀⠀ ⡏⢩⡽⠙⠛⣿⣿⣼⣿⣿⣿⣿⣷⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣲⣻⣿⣿⣿⣿⣼⣿⣫⡽⡿⣻⢿⣿⠿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡣⠀⠀⠀⠒⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡗⣶⢳⣤⣥⣦⢤⠀⢤⡄⡤⡄⠀⢤⡄⡤⡄⡤⡆⠀⢖⡂⣖⡆⡆⠀⡔⡀⡦⡦⢠⣄⡠⠄⣆⠄⠠⡦⡦⡅⣦⡄⠀⠄⢂⣠⣦⡄⡠⡄⡦⣤⡠⠀⣦⠤⣰⠤⣤⡄⡤⡤⡄⣮⡌⡶⠄⡮⣼⢥⡀⢴⣒⣸⡇⣤ ⣿⣿⣧⣷⣾⣽⣶⣿⣮⣄⠑⠃⠃⠃⠀⠓⠃⠃⠃⠑⠃⠀⠒⠃⠃⠀⠃⠐⠉⠁⠓⠑⠐⠊⠑⠂⠋⣦⣤⣿⣧⣷⣿⡆⠀⠐⠈⠀⣃⣀⠑⠂⠃⠒⠀⠀⠉⠀⠋⠲⢷⣦⣧⣧⣧⣵⣆⣵⢠⢝⣿⢟⣅⣲⣾⣽⣧⣷ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡰⣿⠋⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⡛⣻⡇⠀⠀⢰⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠦⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠛⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢉⣉⡅⠀⠈⠀⠀⠀⠀⠀⠀⢰⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣔⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⠋⠀⣀⣠⣄⣄⣀⡀⠀⠀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢵⣿⣿⣿⠏⢠⣾⣿⣿⣿⣿⣿⣿⣶⣦⠀⢀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⢛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⠋⠈⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠘⠘⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢠⢀⣾⠇⡅⣿⡇⡎⢰⣶⣶⣅⢢⠙⣿⡇⡄⠀⠀⠀⠀⠀⠀⠀⡀⣸⣿⣿⣷⡘⢀⠀⣾⣿⣿⣿⣿⣿⣿⣭⣿⣿⠀⠀⠁⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢃⣾⣿⠀⠇⣿⡇⡆⣽⣿⣿⣿⠀⠇⣿⠃⡷⠀⠀⠀⠀⠀⠀⠠⣆⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣭⣿⣿⠀⠃⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡇⡅⢿⣿⠿⢋⣰⢡⣿⠁⠃⠀⠀⠀⠀⠀⠀⠀⠂⠼⣿⡿⠛⢀⢘⡄⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣇⣾⣿⣿⣿⣴⣠⣿⣇⣢⣀⣄⣰⣾⣷⣿⣿⣔⣂⠀⠀⠀⠀⠐⠦⠂⢔⢠⣀⣀⣲⣵⣿⠟⠙⣿⣿⣿⣿⣛⣿⣿⡿⠃⠀⠀⠀⠙⠿⢿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⠇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⠁⠛⠿⠟⠉⠉⠀⠀⠀⠈⢻⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⠉⣽⡏⣩⣥⡆⠠⣶⣦⢸⡟⠀⣾⣷⣦⠀⠀ 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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⡛⢻⡇⠀⠀⢰⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠦⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠛⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣁⢹⡁⠀⠈⠀⠀⠀⠀⠀⠀⠰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣔⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢰⣽⠛⢀⣀⣤⣤⣤⣤⣀⠀⠀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⣼⣿⣿⣿⠃⢠⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⢀⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⢛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢙⠋⠈⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠘⠘⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢠⢀⣾⠇⡅⣿⡇⡎⢰⣶⣶⣅⢢⠙⣿⡇⡄⠀⠀⠀⠀⠀⠀⠀⡀⠸⣿⣿⣷⡘⢀⠀⣾⣿⡿⣿⣿⣿⣿⣷⣿⣿⠀⠀⠁⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢃⣾⣿⠀⠇⣿⡇⡆⣽⣿⣿⣿⠀⠇⣿⠃⡷⠀⠀⠀⠀⠀⠀⠠⠖⣿⣿⣿⣿⡇⠐⠀⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠐⠃⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡇⡅⢿⣿⠿⢋⣰⢡⣿⠁⠃⠀⠀⠀⠀⠀⠀⠀⠚⠿⣿⡿⠛⢀⢘⡄⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣇⣾⣿⣿⣿⣴⣠⣿⣇⣢⣀⣄⣰⣾⣷⣿⣿⣔⣂⠀⠀⠀⠀⠀⠀⠨⣰⢀⣀⣀⣲⣵⣿⠟⠉⢿⣿⣿⣟⣿⣿⣿⡿⠃⠀⠀⠀⠙⠿⢿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⠇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠄⠃⠻⠻⠟⠋⠉⠀⠀⠀⠈⢻⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠀⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡇⠀⠀⠀⠀⠀⠀⠙⠿⠃⡀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡖⠂⠀⠀⠀⠀⠀⠀⠋⠉⡉⠀ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⣀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⡀⡀⢀⢀⣀⡀⢀⢀⢀⡀⠀⠀⠀⣀⠀⠀⣀⣀⣀⠀ ⡟⢉⣹⠘⢛⢿⣿⣼⣿⣿⣿⣿⣿⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣲⣿⣿⣿⣷⣿⣼⣽⣫⣽⡿⣻⢿⡟⠿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡫⠀⠀⠀⠒⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶ ⣿⣿⡇⣶⢢⣤⢄⣦⢄⠀⠠⡀⡤⡀⠀⠠⡀⡤⡀⡠⡆⠀⣖⡂⣖⡆⡆⠀⡴⡀⡦⡤⠠⢄⠀⠄⣆⠄⠠⡦⡦⣄⣢⡄⠀⡀⠄⣠⣦⡄⡠⡄⡦⣤⣤⠀⣦⠤⣰⠤⡤⡀⡤⡤⡄⡪⡄⡦⠀⣦⢴⢤⠄⢴⣒⢰⡆⡤ ⣿⣿⣇⣓⣞⣹⣛⣓⣚⣀⠓⠃⠃⠃⠀⠓⠃⠃⠃⠓⠃⠀⠒⠃⠃⠀⠃⠐⠉⠁⠓⠑⠘⠚⠑⠂⠋⣂⣀⣻⣃⣳⣟⡇⠀⠐⠘⠃⣃⣂⠓⠂⠃⠒⠂⠀⠙⠀⠛⠒⢛⣃⣃⣃⣃⣓⣂⣓⢀⢓⣛⢚⣁⣒⣞⣘⣃⣛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡰⣿⠋⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⣛⢻⡇⠀⠀⢐⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠦⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠛⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢈⡇⠀⠈⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣔⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣀⣠⣿⠛⢀⣀⣤⣤⣤⣤⡀⠀⠀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣷⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⣭⣶⣿⣿⠃⢠⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⢛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢙⠋⠈⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠛⡘⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀ ⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢠⢀⣾⠇⡅⣿⡇⡎⢰⣶⣶⣅⢢⠙⣿⡇⣄⠀⠀⠀⠀⠀⠀⠀⡄⣼⣕⣿⣷⡘⢀⠀⣿⣿⠿⣿⣿⣿⣿⣷⣿⣿⠀⠀⠁⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢃⣾⣿⠀⠇⣿⡇⡆⣽⣿⣿⣿⠀⠇⣿⠃⡷⠀⠀⠀⠀⠀⠀⠠⢴⣾⣿⣿⣿⡇⠐⠀⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠘⠃⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡇⡅⢿⣿⠿⢋⣰⢡⣿⠁⠃⠀⠀⠀⠀⠀⠀⠀⠈⠻⣾⡿⠛⢀⠘⡄⢻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣇⣾⣿⣿⣿⣴⣠⣿⣇⣢⣀⣄⣰⣾⣷⣿⣿⣔⣂⠀⠀⠀⠀⠠⠀⠈⡐⣠⣀⣀⣲⣵⣿⠟⠉⢿⣿⣽⣿⣿⣿⣿⡿⠃⠀⠀⠀⠙⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⡿⠇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢈⠄⠻⠿⠟⠋⠉⠀⠀⠀⠈⢻⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⠉⣽⡏⣩⣤⡆⠠⣶⣦⢸⡟⠀⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡇⠀⠀⠀⠀⠀⠀⠛⠿⠇⣀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡖⠀⠀⠀⠀⠀⠀⠀⠛⠛⡋⠀ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⣀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⡀⡀⢀⢀⣀⡀⢀⠀⠀⡀⠀⠀⠀⠀⠀⠀⣀⠀⣀⠀ ⡟⢉⣹⠘⣛⢿⣿⣼⣿⣿⣿⣿⣿⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣲⣿⣿⣿⣷⣿⣼⣽⣫⡽⡿⣻⢿⡟⠿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡣⠀⠀⠀⠒⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶ ⣿⣿⡟⣿⢯⣍⢍⣏⣍⠀⡀⡀⡀⡀⠀⡀⡀⡀⡀⡁⡆⠉⣝⠋⡟⡍⡏⠉⡰⡀⡄⡄⠀⠀⢀⠀⣆⠀⠉⡭⣯⣉⣫⡅⠀⡀⠄⢠⣤⡄⡠⡄⣯⣩⣭⠉⣏⣩⣩⠍⡩⡉⡩⣉⡍⣋⡉⡿⠉⡭⣝⣍⡈⢽⣚⣹⡏⡩ ⣿⣿⣇⣓⣚⣹⣛⣓⣚⣀⠛⠃⠃⠃⠀⠛⠃⠃⠃⠓⠃⠀⠒⠃⠃⠀⠃⠐⠉⠁⠓⠓⠘⠛⠑⠂⠋⣂⣀⣛⣃⣳⣛⡃⠀⠐⠘⠃⣃⣂⠓⠂⠃⠒⠂⠀⠙⠀⠛⠂⢛⣃⣃⣃⣃⣛⣃⣓⢀⢓⣛⣛⣁⣒⣞⣘⣃⣛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡰⣿⠋⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⢛⢛⡇⠀⠀⢰⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠦⠤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣟⠛⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⢨⡅⠀⠈⠀⠀⠀⠀⠀⠀⠰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣔⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣵⡟⠂⣠⣤⣤⣤⣤⣄⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣬⣦⣿⣿⡏⠀⣾⣿⣿⣿⣿⣿⣿⣿⣶⡀⢀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢙⠛⠁⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⢀⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢠⢀⣾⠇⡅⣿⡇⡎⢰⣶⣶⣅⢢⠙⣿⡇⡄⠀⠀⠀⠀⠀⠀⠀⠀⣼⣾⣿⣶⡘⢀⠘⢸⣿⣿⣻⣿⣿⣿⡿⣾⣿⡇⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢃⣾⣿⠀⠇⣿⡇⡆⣽⣿⣿⣿⠀⠇⣿⠃⡷⠀⠀⠀⠀⠀⠀⢠⡮⣾⣿⣿⣿⡇⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠛⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡇⡅⢿⣿⠿⢋⣰⢡⣿⠁⠃⠀⠀⠀⠀⠀⠀⠀⠐⠻⢿⡿⠛⢀⢘⡄⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣇⣾⣿⣿⣿⣴⣠⣿⣇⣢⣀⣄⣰⣾⣷⣿⣿⣔⣂⠀⠀⠀⠀⠀⠀⠨⢔⣠⣀⣐⣲⣵⣿⠟⠁⠹⣿⣯⣽⣯⣽⣿⡿⠋⠀⠀⠀⠙⠿⢿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⠆⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠃⠺⠧⠟⠋⠉⠀⠀⠀⠀⠙⣻⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠀⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡇⠀⠀⠀⠀⠀⠀⠙⠿⠃⣀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡖⠂⠀⠀⠀⠀⠀⠀⠉⠚⠁⠀ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⣀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⡀⡀⢀⢀⣀⡀⢀⠀⢀⡀⠀⠀⠀⡀⢀⠀⢀⣀⣀⠀ ⡏⢉⣹⠘⣋⢿⣿⣼⣿⣿⣿⣿⣿⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣲⣿⣿⣿⣷⣿⣼⣽⣫⡽⡿⣻⢿⣟⠿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡫⠀⠀⠀⠒⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶ ⣿⣿⡏⣯⢭⣍⣉⣍⣉⠁⣀⡀⣀⡀⠀⣀⡈⣉⡉⣉⡍⠉⡭⠍⡭⡍⡍⠉⡩⡉⣅⣄⢀⡀⢀⡀⡄⡉⢉⣏⣍⣉⣫⡁⠀⡀⠄⢠⣤⡌⣩⡍⡭⣭⣭⠉⣍⣉⢩⡉⣉⡉⣉⣉⡉⢋⡉⣏⠍⣭⣙⣉⡉⣹⠭⢩⣍⣉ ⣿⣿⣇⣧⣞⣻⣽⣿⣜⡀⠪⠇⠇⠃⠀⠫⠇⠇⠇⠣⠇⠀⠬⠃⠏⠁⠇⠠⠓⠃⠣⠣⠨⠙⠁⠄⠟⣄⣀⣯⣇⣷⣯⡅⠀⠰⠐⠃⠇⠂⠣⠂⠇⠫⠁⠀⠙⠀⠛⠄⠯⣃⣃⣇⣇⣫⣅⣧⢀⢫⣼⢞⣁⣺⢟⣸⣇⣫ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡰⣿⠋⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⣛⢻⡇⠀⠀⢰⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠦⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⠉⡇⠀⠈⠀⠀⠀⠀⠀⠀⠰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣔⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣀⢖⣧⡏⠀⣠⣤⣤⣤⣤⣄⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣴⣿⣿⡏⠀⣾⣿⣿⣿⣿⣿⣿⣿⣶⡀⢀⠼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢙⠛⠉⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⠀⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢠⢀⣾⠇⡅⣿⡇⡎⢰⣶⣶⣅⢢⠙⣿⡇⣄⠀⠀⠀⠀⠀⠀⠀⢠⣾⣾⣿⣷⡘⢀⠀⢸⣿⣟⣿⣿⣿⣿⡷⣾⣿⡇⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢃⣾⣿⠀⠇⣿⡇⡆⣽⣿⣿⣿⠀⠇⣿⠃⡷⠀⠀⠀⠀⠀⠀⠠⠧⣽⣽⣿⣿⡇⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠛⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡇⡅⢿⣿⠿⢋⣰⢡⣿⠁⠃⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⡿⠛⢀⢘⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣇⣾⣿⣿⣿⣴⣠⣿⣇⣢⣀⣄⣰⣾⣷⣿⣿⣔⣂⠀⠀⠀⠀⠀⠀⠠⠄⣠⣀⣀⣲⣵⣿⠟⠁⢻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠘⠿⢿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⠇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠁⠸⠿⠟⠋⠉⠀⠀⠀⠀⠙⣻⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠁⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡇⠀⠀⠀⠀⠀⠀⠙⠿⠃⠀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠖⠂⠀⠀⠀⠀⠀⠀⠛⠓⠀⠀ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⣀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⡀⡀⢀⢀⣀⡀⢀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⣀⠀ ⡟⢉⣩⠘⢛⢿⣿⣼⣿⣿⣿⣿⣿⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣲⣿⣿⣿⣷⣿⣼⣽⣫⣽⡿⣻⢿⡟⠿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡣⠀⠀⠀⠒⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶ ⣿⣿⡟⣯⢭⣍⣉⣍⡉⠁⣀⡀⣀⡀⠀⣀⡈⣉⡉⣉⡍⠉⡭⠍⡭⡍⡍⠉⡩⠉⣅⣄⢀⡀⢀⡀⡄⡉⢉⣍⣍⣋⣋⡁⠀⡀⠄⢠⣤⡌⢩⡍⡭⣭⣭⠉⣍⣉⢩⣉⣉⡉⣉⣉⡉⢋⡉⣏⠉⣭⣙⣉⡉⣩⠽⢩⡍⣉ ⣿⣿⣇⣧⣞⣿⣭⣿⣜⠀⠮⠇⠇⠇⠀⠮⠇⠇⠇⠧⠇⠀⠬⠇⠏⠁⠇⠠⠓⠃⠧⠣⠨⠽⠣⠄⠟⣄⣀⣯⣇⣷⣯⡅⠀⠱⠰⠃⠇⠆⠣⠆⠇⠤⠁⠀⠹⠀⠛⠤⠯⢅⣇⣇⣇⣫⣅⣧⢀⢣⣼⢞⠁⣺⢿⣸⣇⣯ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡰⣿⠋⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⢛⢻⡇⠀⠀⢰⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠦⠤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣁⣩⡁⠀⠈⠀⠀⠀⠀⠀⠀⠰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣨⣽⡟⠃⣠⣤⣤⣤⣤⣄⡀⠀⠀⠀⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⠥⣿⣿⡏⡀⣾⣿⣿⣿⣿⣿⣿⣿⣶⡀⢀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢙⠻⠁⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⢀⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢠⢀⣾⠇⡅⣿⡇⡎⢰⣶⣶⣅⢂⠙⣿⡇⡄⠀⠀⠀⠀⠀⠀⠀⠠⣾⣺⣿⣷⡘⢀⠘⢸⣿⣿⣻⣿⣿⣿⡷⢿⣿⡇⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢃⣾⣿⠀⠇⣿⡇⡆⣹⣿⣿⣿⠀⠇⣿⠃⡷⠀⠀⠀⠀⠀⠄⠰⢤⣿⣿⣿⣿⡇⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠛⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡇⡅⢿⣿⠿⢋⣰⢡⣿⠁⠃⠀⠀⠀⠀⠠⠀⠀⠓⠿⣿⡿⠛⢀⠘⡄⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣇⣾⣿⣿⣿⣴⣠⣿⣇⣢⣀⣄⣰⣾⣷⣿⣿⣔⣂⠀⠀⠀⠀⠀⠀⢈⡐⣀⣀⣀⣲⣵⣿⠟⠁⢹⣿⣭⣛⣋⣽⣿⣿⠋⠀⠀⠀⠘⠿⢿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⠇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠟⠋⠉⠀⠀⠀⠀⠹⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠀⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡇⠀⠀⠀⠀⠀⠀⠹⠿⠃⡀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡖⠂⠀⠀⠀⠀⠀⠀⠛⠋⡁⠀ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⣀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⡀⡀⢀⢀⣀⡀⢀⠀⢀⠀⠀⠀⠀⢀⠀⢀⣀⣀⣀⠀ ⡏⢉⣙⠘⢛⢿⣿⣜⣿⣿⣿⣿⣿⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣲⣿⣿⣿⣷⣿⣼⣽⣋⡽⡿⣻⢿⡟⠿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡣⠀⠀⠀⠒⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶ ⣿⣿⡟⣯⢍⣍⡉⣍⡉⠁⢀⠀⣀⡀⠀⢀⠈⣉⡉⣉⡍⠉⡭⠍⡭⡍⡍⠉⣩⠉⣅⣀⢀⡀⢀⡀⡄⡉⢉⣍⣍⣉⣫⡁⠀⡀⠄⢠⣤⡌⢩⡍⡭⢩⣭⠉⣍⣉⢩⡉⣉⠉⣉⣉⡉⢋⡉⣏⠍⣭⣉⣉⡉⣩⠭⢩⡍⣍ ⣿⣿⡇⠧⠾⠫⣽⠯⠼⠀⠦⠇⠇⠇⠀⠦⠇⠇⠇⠧⠇⠀⠭⠇⠏⠁⠇⠠⠓⠃⠧⠣⠠⠼⠢⠄⠟⢄⠀⢯⢇⠿⡯⠅⠀⠳⠰⠇⠇⠆⠧⠄⠇⠤⠅⠀⠹⠀⠛⠤⠯⠅⠇⠇⠇⠧⠅⠧⠀⠯⠼⠞⠁⠪⠿⠸⠇⠯ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡰⣿⠋⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⡛⣻⡇⠀⠀⢐⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠦⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡋⣭⡅⠀⠈⠀⠀⠀⠀⠀⠀⠰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣁⣈⣵⡏⠀⣠⣤⣤⣤⣤⣄⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣬⣼⣿⣿⡏⠀⣾⣿⣿⣿⣿⣿⣿⣿⣷⡀⢀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢙⠋⠉⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⠀⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢠⢀⣾⠇⡅⣿⡇⡎⢰⣶⣶⣅⢂⠙⣿⡇⡤⠀⠀⠀⠀⠀⠀⠀⠄⢸⣿⣿⣷⡙⢀⠐⢸⣿⣿⣿⣿⣿⣿⡷⢿⣿⡇⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢃⣾⣿⠀⠇⣿⡇⡆⣹⣿⣿⣿⠀⠇⣿⠃⡷⠀⠀⠀⠀⠀⠀⠠⣇⣼⣿⣿⣿⡇⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠛⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡇⡅⢿⣿⠿⢋⣰⢡⣿⠁⠃⠀⠀⠀⠀⠀⠀⠀⠊⠾⣿⡿⠛⢀⢘⡄⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣇⣾⣿⣿⣿⣴⣠⣿⣇⣢⣀⣄⣰⣾⣷⣿⣿⣔⣂⠀⠀⠀⠀⠀⠂⠄⠀⣠⣀⣀⣲⣵⣿⠟⠁⠹⣿⣯⣽⣯⣽⣿⡿⠋⠀⠀⠀⠘⠿⢿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⠇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠁⠺⠻⠟⠋⠉⠀⠀⠀⠀⠙⢻⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠀⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡇⠀⠀⠀⠀⠀⠀⠹⠿⠃⡀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠖⠂⠀⠀⠀⠀⠀⠀⠉⠁⠉⠀ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⣀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⡀⡀⢀⢀⣀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀ ⡏⢉⣹⠘⣋⢿⣿⣼⣟⣿⣿⣿⣿⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣟⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣲⣿⣿⣿⣷⣿⣼⣽⣫⡽⡿⣻⢿⣟⠿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡫⠀⠀⠀⠒⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶ ⣿⣿⡟⡿⣟⣟⡛⣟⡛⠁⢀⠀⡀⠀⠀⢀⠈⣉⠉⢉⡍⠉⡩⠍⡽⡍⡍⠉⢩⠉⣁⣀⠀⠀⠀⠀⡄⡉⢛⣛⣟⣛⢻⡃⠀⠀⠀⢠⣤⡌⢩⡍⡭⢭⣭⠉⣏⢛⢛⡛⢛⠛⢛⣛⡙⢛⡛⣟⠛⣍⣛⡉⡉⣻⠽⢩⡟⢛ ⣿⣿⡇⠧⢾⠻⡾⠯⠼⠀⠶⠇⠇⠇⠀⠶⠇⠇⠇⠧⠇⠀⠭⠇⠇⠁⠇⠠⠓⠃⠧⠧⠰⠶⠢⠄⠟⢄⠀⢯⢇⠷⣿⠇⠀⠳⠰⠆⠇⠆⠧⠄⠇⠶⠇⠀⠹⠉⠛⠄⠷⠇⠇⠇⠇⠷⠇⠧⠀⠯⠼⠾⠁⠪⠿⠸⠇⠷ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡰⣿⠋⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⣛⢻⡇⠀⠀⢸⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠦⠤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠈⠀⠀⠀⠀⠀⠀⠰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⣀⣽⡞⠀⣠⣤⣤⣤⣤⣤⡀⠀⠀⠀⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣮⣯⣽⣿⡟⡀⣾⣿⣿⣿⣿⣿⣿⣿⣷⡄⢀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢙⠻⠀⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⢃⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢠⢀⣾⠇⡅⣿⡇⡎⢰⣶⣶⣅⢂⠙⣿⡇⡄⠀⠀⠀⠀⠀⠀⠀⢀⣶⣿⣿⣷⡙⠀⠙⢸⣿⣿⣽⣿⣿⣿⡿⢿⣿⡇⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢃⣾⣿⠀⠇⣿⡇⡆⣹⣿⣿⣿⠀⠇⣿⠃⡷⠀⠀⠀⠀⠀⠀⢠⣆⣿⣿⣿⣿⡇⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠛⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡇⡅⢿⣿⠿⢋⣰⢡⣿⠁⠃⠀⠀⠀⠀⠀⠀⠀⠛⠿⣿⡿⠛⢀⠜⡄⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣇⣾⣿⣿⣿⣴⣠⣿⣇⣢⣀⣄⣰⣾⣷⣿⣿⣔⣂⠀⠀⠀⠀⠀⠀⠀⡀⣠⣀⣀⣲⣵⣿⠟⠁⠸⣿⣷⣽⣭⣽⣿⡿⠋⠀⠀⠀⠘⠿⢿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⠇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠟⠋⠉⠀⠀⠀⠀⠘⢻⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠀⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡇⠀⠀⠀⠀⠀⠀⠹⠟⠃⡀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠖⠂⠀⠀⠀⠀⠀⠈⠛⠓⡋⠀ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⣀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⡀⡀⢀⢀⣀⡀⢀⠀⠀⡀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀ ⡏⢉⣉⠘⢋⢿⣿⣼⣿⣿⣿⣿⣿⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣲⣿⣿⣿⣷⣿⣼⣽⣫⡽⡿⣻⢿⡟⠿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡣⠀⠀⠀⠒⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶ ⣿⣿⡟⣻⣛⡟⠛⡛⠛⠃⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⡛⠛⣛⡛⣛⡛⡛⠛⢛⠛⡃⡀⠀⠀⠀⠀⡂⠙⠛⡛⡟⢛⣻⠃⠀⠀⡀⢠⣠⡌⠩⡍⡩⢍⡩⠛⡛⠛⢛⠛⠛⠛⠛⠛⠛⠛⠛⡛⠟⡛⡛⠛⡛⢛⣙⢻⡟⠛ ⣿⣿⡇⣇⣾⢾⡻⣯⡹⠀⢟⠇⡏⠇⠀⢟⠇⠏⠇⢏⡇⠀⢁⠆⡗⠃⡇⠀⠃⠇⢏⢏⢘⠳⠊⡁⡷⣁⠈⣯⣏⡷⢿⡇⠀⢣⠰⠆⡇⠇⢆⠅⡇⢗⠂⠀⠹⠉⠺⡁⢟⠇⠏⡏⡇⢟⡓⢏⠀⢏⡹⡻⠁⢋⡷⢸⡇⢟ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡰⣿⠃⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⣛⢻⡃⠀⠀⣰⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢀⢨⡇⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣿⠭⢀⣠⣤⣤⣤⣤⣤⡀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣷⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⣾⢵⣽⣿⠏⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⡀⢠⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⠋⠉⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⢐⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢠⢀⣾⠇⡅⣿⡇⡎⢰⣶⣶⣅⢂⠙⣿⡇⡄⠀⠀⠀⠀⠀⠀⠀⡀⢮⣵⣿⣷⡙⢀⠀⢸⣿⣯⣿⣿⣿⣿⡿⣿⣿⡇⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢃⣾⣿⠀⠇⣿⡇⡆⣹⣿⣿⣿⠀⠇⣿⠃⡷⠀⠀⠀⠀⠀⠀⠠⢆⣾⣿⣿⣿⡇⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠛⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡇⡅⢿⣿⠿⢋⣰⢡⣿⠁⠃⠀⠀⠀⠀⠀⠀⠀⠃⠾⢿⠿⠛⢀⠘⡄⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣇⣾⣿⣿⣿⣴⣠⣿⣇⣢⣀⣄⣰⣾⣷⣿⣿⣔⣂⠀⠀⠀⠀⠀⠀⠰⣤⢠⣀⣀⣲⣵⣿⠏⠀⠹⣿⣿⣿⣯⣿⣿⡿⠃⠀⠀⠀⠙⠿⢿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠟⠉⠁⠀⠀⠀⠀⠙⢻⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠀⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡇⠀⠀⠀⠀⠀⠀⠉⠿⠃⡀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡖⠂⠀⠀⠀⠀⠀⠀⠉⠘⠇⠀ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⣀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⡀⡀⢀⢀⣀⡀⢀⠀⠀⡀⠀⠀⠀⡀⢀⡀⢀⢀⣀⡀ ⡏⢉⣙⠘⢛⢿⣿⣜⣿⣿⣿⣿⣿⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣲⣿⣿⣿⣷⣿⣼⣽⣋⡽⡿⣻⢿⡟⠿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡣⠀⠀⠀⠒⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶ ⣿⣿⡟⣻⣛⡟⠛⡛⠛⠃⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⡛⠛⣛⡛⣛⡛⡛⠛⢛⠛⡃⡀⠀⠀⠀⠀⡂⠙⠛⡛⡛⣛⠛⠃⠀⠀⡀⢠⣠⡌⠩⡍⡩⠉⣭⠙⡛⠛⢛⠛⠛⠛⠛⠛⠛⠛⠛⡛⠟⡛⡛⢛⡛⢛⣙⢛⡛⠛ ⣿⣿⡇⣇⡾⢾⣛⣯⡱⠀⢝⡇⡏⡇⠀⣝⡇⡏⡇⢏⡇⠀⣑⡆⡗⠃⡇⢀⠧⠆⣏⢏⢘⣳⢊⡁⡷⣁⠈⣏⣯⡿⣟⡇⠀⢣⢰⠆⡏⠇⢎⡅⡇⣛⠂⠀⢹⠉⠺⡉⢟⡃⡏⡏⡇⢞⡓⣏⠀⢏⣹⡻⠁⣛⣾⢸⡇⣟ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡰⣶⠂⠀⠀⠀⠀⠑⠒⠦⠤⣀⡀⠀⠀⠀⠉⠛⠻⠿⣿⣿⣶⣿⣮⣛⣊⡟⣼⣶⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⢛⣻⡃⠀⠀⢐⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠦⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢉⡁⠀⠈⠀⠀⠀⠀⠀⠀⠰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠒⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢈⣿⠍⠀⣠⣤⣤⣤⣤⣤⡀⠀⠀⠀⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣬⣸⣽⣿⡏⠀⣾⣿⣿⣿⣿⣿⣿⣿⣷⡄⢠⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢙⠋⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⢂⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀ ⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢠⢀⣾⠇⡅⣿⡇⡎⢰⣶⣶⣅⢂⠙⣿⡇⣄⠀⠀⠀⠀⠀⠀⠀⡐⣼⣿⣿⣷⡙⢀⠈⢸⣿⣿⣿⣿⣿⣿⡿⢿⣿⡇⣀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢃⣾⣿⠀⠇⣿⡇⡆⣹⣿⣿⣿⠀⠇⣿⠃⡷⠀⠀⠀⠀⠀⠀⠰⣦⣿⣿⣿⣿⡇⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠛⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡇⡅⢿⣿⠿⢋⣰⢡⣿⠁⠃⠀⠀⠀⠀⠀⠀⠀⠚⠿⣿⠿⠛⢀⢘⡄⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣇⣾⣿⣿⣿⣴⣠⣿⣇⣢⣀⣄⣰⣾⣷⣿⣿⣔⣂⠀⠀⠀⠀⠀⠀⠀⢐⢠⣀⣄⣲⣵⣿⠟⠀⠹⣿⣿⣽⣿⣽⣿⣿⠋⠀⠀⠀⠘⠿⠿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⠁⠛⠻⠟⠉⠉⠀⠀⠀⠀⠙⢻⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠀⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡇⠀⠀⠀⠀⠀⠀⠙⠿⠃⡀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡖⠂⠀⠀⠀⠀⠀⠀⠉⠉⠃⠀ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⣀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⡀⡀⢀⢀⣀⡀⢀⠀⠀⠀⠀⠀⠀⡀⢀⡀⢀⣀⣀⠀ ⡏⢉⣹⠘⣋⢿⣿⣼⣟⣿⣿⣿⣿⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣲⣿⣿⣿⣷⣿⣼⣽⣫⡽⡿⣻⢿⣟⠿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡫⠀⠀⠀⠒⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶ ⣿⣿⡟⣛⡛⡟⠛⡛⠛⠃⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⡛⠛⣛⡛⣛⡛⡛⠛⢛⠛⡃⡀⠀⠀⠀⠀⡂⠙⠛⡛⣛⣛⢛⠃⠀⠀⡀⢠⣠⡌⠩⡍⡩⣭⣭⠙⡛⠛⢛⠛⠛⠛⠛⠛⠛⠛⠛⡛⠛⡛⡛⠛⡛⢛⣙⢛⣛⠛ ⣿⣿⡇⣇⡾⢾⣓⣿⣱⠀⣜⡇⡏⡇⠀⣜⡆⡏⡇⣏⡇⠀⣓⡆⡗⠃⡇⢀⠧⠆⣏⢏⢈⣳⢎⡁⡷⣁⠈⣏⣏⡿⣿⡇⠀⢧⢰⡆⡏⡆⢎⡂⡇⣚⡂⠀⢩⠉⠺⡉⣟⡃⡏⡏⡇⣞⡃⣏⠀⢏⣹⣻⠁⣛⣾⢸⡇⣟ ⣿⣿⣷⣶⣶⣶⣷⣶⣶⣶⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣶⣶⣶⣶⣶⣶⡆⠀⠀⢀⡰⣶⠂⠀⠀⠀⠀⠐⠒⠦⠤⣀⡀⠀⠀⠀⠀⠒⠲⠶⣶⣶⣶⣶⣦⣒⣂⡖⣴⣶⣶ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⢛⢻⡇⠀⠀⣐⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠦⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣉⡁⠀⠈⠀⠀⠀⠀⠀⠀⠐⢿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣠⣷⡟⠀⣠⣤⣤⣤⣤⣤⡀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⣿⣿⡏⡀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢙⠻⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠘⢃⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀ ⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢠⢀⣾⠇⡅⣿⡇⡎⢰⣶⣶⣅⢂⠙⣿⡇⡄⠀⠀⠀⠀⠀⠀⠀⠄⢾⣿⣿⣶⡙⠀⠙⢸⣿⣿⣽⣿⣿⣿⡿⢿⣿⡇⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢃⣾⣿⠀⠇⣿⡇⡆⣹⣿⣿⣿⠀⠇⣿⠃⡷⠀⠀⠀⠀⠀⠀⠀⡆⣾⣿⣿⣿⡇⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠛⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡇⡅⢿⣿⠿⢋⣰⢡⣿⠁⠃⠀⠀⠀⠀⠀⠀⠀⠛⠷⣿⠿⠛⢀⢘⡄⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣇⣾⣿⣿⣿⣴⣠⣿⣇⣢⣀⣄⣰⣾⣷⣿⣿⣔⣂⠀⠀⠀⠀⠀⠀⠀⣐⢠⣀⣀⣲⣵⣿⠟⠀⠙⣿⣿⣿⣭⣿⣿⡿⠋⠀⠀⠀⠘⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⠇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠻⠛⠟⠉⠉⠀⠀⠀⠀⠙⠻⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠀⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡇⠀⠀⠀⠀⠀⠀⠹⠿⠃⡀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡖⠀⠀⠀⠀⠀⠀⠀⠉⠀⠋⠀ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⣀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⡀⡀⢀⢀⣀⡀⢀⠀⢀⠀⠀⠀⠀⠀⢀⠀⢀⣀⣀⠀ ⡏⢉⣉⠘⢋⢿⣿⣼⣿⣿⣿⣿⣿⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣲⣿⣿⣿⣷⣿⣼⣽⣫⡽⡿⣻⢿⡟⠿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡫⠀⠀⠀⠒⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶ ⣿⣿⡟⣻⡛⡟⠛⡛⠛⠃⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⡛⠛⣛⡛⣛⡛⡛⠛⢛⠛⡃⠀⠀⠀⠀⠀⡂⠙⠛⡛⡛⢛⢻⡃⠀⠀⡀⢠⣠⡌⠩⡍⡍⢩⣭⠙⡛⠛⢛⠛⠛⠛⠛⠛⠛⠛⠛⡛⠟⡻⡛⢻⡟⢛⣙⢛⡛⠛ ⣿⣿⡇⣇⣾⢾⣵⣿⣱⠀⣌⡆⡏⡆⠀⣌⡆⡏⡆⣎⡇⠀⣓⡆⡗⠃⡇⢀⠯⠆⣏⢏⢠⣱⢄⡁⡷⣁⠈⣏⣏⡿⣯⡇⠀⢦⢰⡆⡇⡆⣆⡂⡇⣀⡂⠀⢹⠉⠺⡉⣯⡆⡏⡏⡇⣮⡇⣏⠀⢏⣹⣹⠁⣛⣶⢸⡇⣮ ⣿⣿⣷⣶⣶⣶⣷⣶⣷⣶⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣶⣶⣶⣶⣶⣶⡇⠀⠀⢀⡰⣶⠂⠀⠀⠀⠀⠐⠒⠦⠤⣀⡀⠀⠀⠀⠀⠒⠲⠶⣶⣶⣶⣶⣦⣒⣂⡖⣴⣶⣶ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⢛⢻⡇⠀⠀⢐⠟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠦⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⡟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣁⢈⡅⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠤⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⣠⣽⠏⢁⣤⣤⣤⣤⣤⣤⣀⠀⠀⠀⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⣴⣾⣿⣾⡏⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡄⢠⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢙⠋⠈⢀⣿⣿⣿⣿⣿⣿⣿⢿⣿⡇⠘⢃⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢠⢀⣾⠇⡅⣿⡇⡎⢰⣶⣶⣅⢂⠙⣿⡇⣄⠀⠀⠀⠀⠀⠀⠀⡀⣾⣿⣿⣷⡘⢀⠙⢸⣿⣿⣽⣿⣿⣿⣿⣿⣿⡇⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢃⣾⣿⠀⠇⣿⡇⡆⣹⣿⣿⣿⠀⠇⣿⠃⡷⠀⠀⠀⠀⠀⠀⠰⡍⣺⣿⣿⣿⡇⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠛⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡇⡅⢿⣿⠿⢋⣰⢡⣿⠁⠃⠀⠀⠀⠀⠀⠀⠀⠛⠿⣿⡿⠛⠀⢘⠄⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣇⣾⣿⣿⣿⣴⣠⣿⣇⣢⣀⣄⣰⣾⣷⣿⣿⣔⣂⠀⠀⠀⠀⠀⠀⠀⠐⢀⢀⣐⣲⣵⣿⠏⠀⢹⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠘⠿⠿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⠇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠈⠀⠀⠂⠛⠻⠟⠉⠉⠀⠀⠀⠀⠙⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠀⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡇⠀⠀⠀⠀⠀⠀⠙⠿⠃⡀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡖⠒⠀⠀⠀⠀⠀⠀⠋⠣⣍⠀ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⣀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⡀⡀⢀⢀⣀⡀⢀⠀⠀⠀⠀⠀⠀⡀⢀⠀⢀⣀⡀⠀ ⡏⢉⣙⠘⢋⢿⣿⣼⣿⣿⣿⣿⣿⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣟⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣲⣿⣿⣿⣷⣿⣼⣽⣋⡽⡿⣻⢿⡟⠿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡫⠀⠀⠀⠒⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶ ⣿⣿⡿⠿⠿⡿⠿⡿⠿⠃⠀⠀⠀⠀⠀⠀⠈⠛⠿⠿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠃⠀⠀⠀⠀⠀⡂⠹⠿⠿⡿⣿⢿⠇⠀⠀⠀⢠⣠⡬⠩⠉⠍⣭⣭⠹⠿⠿⠿⠿⠿⠿⠿⠻⠿⠟⠿⠿⠿⠿⡿⢿⡿⠿⠽⢿⡿⠿ ⣿⣿⡇⡏⣿⣴⣶⣗⣲⠀⡶⡆⡖⡆⠀⡶⡆⡖⡆⡖⡇⠀⡓⡅⡧⠃⡇⠀⠎⡆⡗⡗⠰⢦⢔⠂⣧⣂⠐⡿⣗⡶⣷⡆⠀⢆⢡⡆⡗⡆⡖⡂⡇⡶⡆⠀⢱⠒⠸⠂⡶⡆⡖⡖⡆⣶⡆⡗⠀⢟⢲⢲⠁⣚⢿⢸⡇⣶ ⣿⣿⣷⣿⣶⣾⣷⣷⣷⣶⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣷⣶⣿⣷⣷⣾⡇⠀⠀⢀⡰⣶⠂⠀⠀⠀⠈⠐⠒⠦⠤⣀⡀⠀⠀⠀⠁⠒⠺⠷⣾⣶⣶⣷⣦⣒⣊⡗⣶⣶⣾ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⣛⢻⡇⠀⠀⢐⠝⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢈⡅⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠒⠤⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢐⢠⣿⠏⠁⣤⣤⣤⣤⣤⣤⣀⠀⠀⠀⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣽⣼⣿⣿⡏⠄⣾⣿⣿⣿⣿⣿⣿⣿⣿⡄⢠⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢙⠋⢈⢀⣿⣿⣿⣿⣿⣿⣿⠿⣿⡇⠘⢃⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢠⢀⣾⠇⡅⣿⡇⡎⢰⣶⣶⣅⢂⠙⣿⡇⣄⠀⠀⠀⠀⠀⠀⠀⡤⢾⢿⣿⣶⡘⢀⠉⢸⣿⣿⣽⣿⣿⣿⣟⣿⣿⡇⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢠⢃⣾⣿⠀⠇⣿⡇⡆⣹⣿⣿⣿⠀⠇⣿⠃⡷⠀⠀⠀⠀⠀⠀⠰⡗⢾⣿⣿⣿⡇⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠛⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡇⡅⢿⣿⠿⢋⣰⢡⣿⠁⠃⠀⠀⠀⠀⠐⠀⠀⠂⠾⣿⡿⠛⢀⢘⡄⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣇⣾⣿⣿⣿⣴⣠⣿⣇⣢⣀⣄⣰⣾⣷⣿⣿⣔⣂⠀⠀⠀⠀⠀⠀⠠⡀⢠⣀⣐⣲⣵⣿⠏⠀⠹⣿⣧⣽⣭⣽⣿⣿⠋⠀⠀⠀⠘⠿⠿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⠇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠃⠺⠻⠟⠉⠉⠀⠀⠀⠀⠙⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠀⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡇⠀⠀⠀⠀⠀⠀⠛⠿⠃⡀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡖⠒⠀⠀⠀⠀⠀⠀⠉⠁⠃⠀ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⣀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⡀⡀⢀⢀⣀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀ ⡏⢉⣹⠘⢋⢿⣿⣼⣟⣿⣿⣿⣿⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣰⣿⣿⣿⣷⣿⣼⣽⣫⡽⡿⣻⢿⢟⠿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡫⠀⠀⠀⠒⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶ ⣿⣿⡿⠿⠿⡿⠿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠈⠛⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠃⠀⠀⠀⠀⠀⠂⠹⠿⠿⠿⣿⠿⠇⠀⠀⠀⢠⣠⡬⠩⠉⠍⣭⣭⠹⠿⠿⠿⠿⠿⠿⠿⠻⠿⠟⠿⠿⠿⡿⡿⠿⡿⠿⠽⠿⠿⠿ ⣿⣿⡇⡏⣻⣴⣶⣷⢲⠀⡲⡆⡖⡆⠀⡶⡆⡖⡆⡖⡇⠀⠫⡅⡯⠇⡇⠀⣎⡄⡗⡗⠰⢦⠔⠂⣧⣂⠐⣟⣗⡾⣿⠆⠀⢆⢡⡆⡗⡆⡖⡂⡇⡶⠄⠀⢱⠒⢸⠂⡶⠆⡖⡖⡆⡶⠆⡗⠀⡗⢳⢻⠁⠚⢽⢹⡇⡶ ⣿⣿⣷⣿⣷⣾⣷⣿⣷⣶⡌⠡⣁⠀⠀⠈⠁⠁⠁⠈⠁⠀⠉⠀⠁⠀⠁⠈⠀⠀⠈⠈⠈⠀⠀⢁⣵⣷⣶⣿⣷⣷⣿⡇⠀⠈⢀⡠⣥⠀⠈⠀⠁⠈⠀⠒⠦⠤⣀⡁⠈⠀⠀⠁⠑⠺⠷⣿⣶⣾⣿⣧⣒⣊⡇⣼⣶⣾ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⣛⢛⡇⠀⠀⢘⠟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠦⠤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣟⠛⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⣤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣄⢦⣯⠆⢁⣤⣤⣤⣤⣤⣤⣀⠀⠀⠀⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣭⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⢰⣯⣿⡇⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡄⢠⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢙⠋⠈⢀⣿⣿⣿⣿⣿⣿⣿⠿⣿⡇⠘⢂⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⠀⠀ ⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢀⢀⣾⠇⡅⣿⡇⡌⢰⣷⣶⣅⢆⠙⣿⡇⡅⠀⠀⠀⠀⠀⠀⠀⡀⣰⣿⣿⣷⡘⢀⠙⢸⣿⣿⣽⣿⣿⣿⡟⣿⣿⡇⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢠⢀⣾⣿⠀⠇⣿⡇⡆⣽⣿⣿⣿⠀⠇⣿⠃⡷⠀⠀⠀⠀⠀⠀⢠⠦⢽⣿⣿⣿⡇⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠋⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡃⡅⢿⣿⠿⢋⣰⢡⣿⠁⠃⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⡿⠛⢀⢘⡄⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣴⣠⣿⣇⣣⣀⣄⣰⣾⣿⣿⣿⣔⣂⠀⠀⠀⠀⠀⠂⠠⠀⣠⣀⣀⣲⣵⣿⠏⠀⠹⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠘⠿⠿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⡿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠂⠐⠀⠻⠛⠟⠉⠉⠀⠀⠀⠀⠙⢻⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠀⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡇⠀⠀⠀⠀⠀⠀⠙⠟⠃⡀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠖⠐⠀⠀⠀⠀⠀⠀⠛⠁⠋⠀ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⡀⣀⣀⣀⡀⣀⣀⠀⡀⡀⢀⢀⣀⡀⢀⠀⠀⠀⠀⠀⢀⠀⠀⠀⣀⡀⣀⠀ ⡏⢉⣉⠘⠛⣿⣿⣼⣟⣿⣿⣿⣷⣽⣿⡏⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣲⣿⣿⣿⣿⣾⣼⣿⣫⡽⡿⣻⢿⢟⠿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 2790 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/04/25/Video_IBM_s_Poor_Results_Reinforce_the_Idea_of_Mass_Layoffs_on_.shtml Gemini version at gemini://gemini.techrights.org/n/2024/04/25/Video_IBM_s_Poor_Results_Reinforce_the_Idea_of_Mass_Layoffs_on_.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Video] IBM's Poor Results Reinforce the Idea of Mass Layoffs on the Way (Just Like at Microsoft)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Apr 25, 2024 Video_download_link | md5sum 5b35138855369d32679c1515eb070277 Microsoft_Closures,_IBM_Layoffs Creative Commons Attribution-No Derivative Works 4.0 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Preview_for_Microsoft_Closures,_IBM_Layoffs⦈_ THE past few hours IBM spent a great deal of effort shifting attention to HashiCorp (IBM to acquire HashiCorp in $6.4 billion deal), but its results were awful and the gossip is highly critical of the company's leadership. In light of the company's performance and recent report (as mentioned in the video) it seems likely Red Hat layoffs are in the making. HashiCorp_is_just some_Microsoft_proxy_of_sorts, so it isn't clear what IBM is thinking here... Meanwhile Microsoft_has_not_only_more_layoffs_but_also_office_closures_and studio_closures. All this "AI" nonsense is going nowhere; as one_person_put_it a_couple_of_hours_ago, "I bet IBM is already looking for the next buzzword/ hype... AI has already passed." █ 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇International Business Machines Corp⦈ ⣿⣿⡇⣷⣼⢸⢠⠂⡆⢠⢢⠀⡂⡔⡄⡟⡖⠀⡔⠉⢸⡔⢢⢔⡀⠀⡆⡔⡔⠀⢔⡀⠀⠀⢰⠭⡂⢃⢾⠀⢸⠀⣐⡄⠄⠄⠔⡄⡏⡏⢔⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⣇⣃⣈⣈⣈⣉⣁⡈⠉⠈⠁⠉⠁⠁⠉⠀⠈⣉⣈⣈⣁⣉⣁⣉⣁⣁⠉⠁⠉⠑⠀⠀⠈⠉⠀⢀⣈⣀⣈⣉⣉⡁⠈⠀⠉⢠⣡⡅⠉⠀⠍⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣯⣿⢽⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠛⠋⠛⠉⠉⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣤⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣾⣗⣽⢺⢏⣿⢟⣿⣻⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠉⠃⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣾⣿⣮⣛⣊⡟⣼⣺⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠦⢤⣀⡀⠀⠀⠀⠀⠈ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⢀⣀⡀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣭⣶⣆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣠⣶⣿⣿⣿⣿⣿⣿⡄⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⠋⢻⡟⠛⣿⡟⠋⠉⢉⡛⠛⢿⣿⣿⡏⢉⠉⡉⠉⢹⣿⣿⠛⠁⠀⠀⠀⠉⢙⠻⡟⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠃⡟⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⠁⣿⡇⡈⢰⣶⣶⣅⢂⠘⣿⡇⡄⠴⠿⠿⣿⡟⢀⢂⣴⣿⣿⣿⣶⡘⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⠀⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣸⣿⣿⣿⠀⠆⣿⠃⠷⢀⣀⣀⣴⠆⠆⢸⣿⣿⣿⣿⣿⡇⢀⠀⢸⣿⣷⣿⣿⣿⣿⣿⣿⣿⢻⣿⣷⠀⠀⠒⠤⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⠂⣾⣿⣿⠀⠆⣿⠃⡁⢹⣿⠿⢋⣰⢠⣿⠁⠃⠿⡿⢿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢈⡄⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⠿⢁⢲⡒⠓⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠁ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣄⣀⣿⣇⣂⣀⣀⣐⣮⣶⣿⣿⣄⣀⣠⣀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⣿⠻⣿⣟⣿⣿⣿⣿⣿⠏⠀⠀⣮⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣆ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠟⠛⠉⠁⠀⠙⣻⣿⡿⠟⢛⠍⠀⠀⠀⡹⠉⠉⠉⠙⢻⣯⠉⣹⡏⣩⣭⡆⠀⣶⣦⢸⡟⠁⣾⣷⣦⢘⣅ ⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣏⣿⣿⣷⢰⣿⣿⣿⡄⢰⣿⣿⠀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⡤ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠈⠻⠿⠿⠇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠈ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢺⣿⡇⠈⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⡆ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⢿⣿⣿⡿⣻⣿⡇⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠊⠘⣿⣶⠒⠀⠀⠀⠀⠀⠿⠿⢿⣿⡇ ⣿⣿⣿⣿⣟⣛⣿⣟⣿⣿⣛⣛⣿⣿⣝⣿⣿⣻⣿⣿⣷⣿⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠻⡀⠀⠀⠀⠠⠀⠈⠀⠘⠞⠧ ⣿⠿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣟⢿⣿⣿⡟⢫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⢀⣀⣀⢠⣀⣀⡀⣀⢀⣀⣀⣀⢀⣀⡀⡀⣀⣀⣀⡀⣀⣀⠀⠀⠀⠀⢀⠀⡀⠀⠀⢰⣷⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤ ⠁⢀⡉⠈⠋⠿⢿⣜⣟⣼⣿⣛⣧⣽⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⡟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⣹⣿⠻⠖⠲⠤⢄⠈⠉⠛⠛⠛⠉⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡇⣷⣼⢨⢠⠠⡤⢠⢠⢀⡀⡄⡄⡎⡆⠀⡔⠑⢸⡠⢤⢄⡄⠀⡄⡄⣄⡄⢄⠀⠀⠀⢰⠤⡂⢂⣾⠀⢸⠀⣄⡄⠄⡄⠄⡄⡇⡎⣄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ 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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠟⠛⠉⠁⠀⠙⣻⣿⡿⠟⢛⠍⠀⠀⠀⡺⠀⠉⠉⠙⢻⣯⠉⣹⡏⣩⣭⡆⠀⣶⣦⢸⡟⠁⣾⣷⣦⢸⣅ ⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣏⣿⣿⣷⢰⣿⣿⣿⡄⢰⣿⣿⠀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⢀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠈⠻⠿⠿⠇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠐ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢺⣿⡇⠈⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⡄ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⢿⢿⣿⣿⡿⣻⣿⣇⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠘⣿⣶⠒⠀⠀⠀⠀⠀⠻⠿⢿⣿⡇ ⣿⣿⣿⣿⣟⣛⣿⣟⣿⣿⣛⣛⣻⣿⣝⣿⣿⣻⣿⣿⣷⣿⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠓⡀⠀⠀⠀⠠⠀⠈⠀⠘⠞⠇ ⣿⠿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣟⢿⣿⣿⡟⢫⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣀⣀⡀⢀⢀⣀⡀⡀⢀⣀⣀⢠⣀⣀⡀⣀⢀⣀⣀⣀⢀⣀⣀⡀⣀⣀⣀⡀⣀⣀⠀⠀⠀⠀⢀⠀⡀⠀⠀⢰⣷⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤ ⠁⢀⡉⠈⠋⠿⢿⣜⣟⣼⣿⣟⣷⣽⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⡟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⣩⣿⡛⠔⠲⠤⢄⠈⡉⠛⠛⠛⠉⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡇⣶⣴⢸⢠⠤⡤⢠⢤⢠⡄⡤⡄⡦⡦⠀⡔⠐⢰⡠⢄⣤⡄⠀⡄⡤⣤⡄⣤⠀⠀⠀⢰⠰⡀⢂⣶⠀⢰⠀⣤⡄⠄⡄⠤⡄⡆⡆⣤⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⣇⣃⣉⣘⣈⣂⡁⠈⠈⠀⠀⠁⠁⠁⠁⠀⠈⠂⠈⠉⠈⠑⠁⠁⠃⠁⠁⠀⠀⠁⠀⠀⠈⠀⠁⢈⢘⣀⣘⣒⣑⡃⠜⠀⠁⠡⣡⡅⠀⠁⠩⢩⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣯⣿⢽⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠛⠋⠛⠉⠉⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣤⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣿⣧⣾⣗⣽⢺⢏⣿⢟⣿⣻⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠉⠃⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠛⠿⣿⣿⣾⣿⣮⣛⣊⡟⣼⣺⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⢀⣤⡀⠀⠀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣭⣶⡦⠀⢠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣠⣶⣿⣿⣿⣿⣿⣿⡆⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠈ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⠋⢻⡟⠛⣿⡟⠋⠉⢉⡛⠛⢿⣿⣿⡏⢉⠉⡉⠉⢹⣿⣿⠛⠉⠀⠀⠀⠉⢙⠻⡟⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠃⡟⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⠁⣿⡇⡈⢰⣶⣶⣅⢂⠘⣿⡇⡄⠴⠿⠿⣿⡟⢀⢂⣴⣿⣿⣿⣶⡘⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⢀⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣸⣿⣿⣿⠀⠆⣿⠃⠷⢀⣀⣀⣴⠆⠆⢸⣿⣿⣿⣿⣿⡇⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣷⢀⠀⠢⠄⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⠂⣾⣿⣿⠀⠆⣿⠃⡁⢹⣿⠿⢋⣰⢠⣿⠁⠃⠿⡿⢿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢈⡄⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⠿⠁⢲⡒⠓⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣄⣀⣿⣇⣂⣀⣀⣐⣮⣶⣿⣿⣄⣀⣀⣀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⢾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣷⣀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠟⠛⠉⠁⠀⠙⢻⣿⡿⠟⢛⠍⠀⠀⠀⡹⠉⠉⠉⠙⢻⣯⠉⣹⡏⣩⣭⡆⠀⣶⣦⢸⡟⠁⣾⣷⣦⢸⡄ ⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣏⣿⣿⣷⢰⣿⣿⣿⡆⢰⣿⣿⠀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⢠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⡿⠈⠛⠿⠿⠇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠤ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢺⣿⡇⠈⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣠⡆ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⢿⣿⣿⡿⣻⣿⡇⠀⠀⠀⠹⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀⢘⢿⣶⠒⠀⠀⠀⠀⠀⠻⠿⢿⣿⡇ ⣿⣿⣿⣿⣟⣛⣿⣟⣿⣿⣛⣻⣿⣿⣝⣿⣿⣻⣿⣿⣷⣿⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠓⡀⠀⠀⠀⠠⠀⠈⠀⠘⠞⠇ ⣿⠿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣟⢿⣿⣿⡿⢣⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣀⣀⡀⢀⢀⣀⡀⡀⢀⣀⣀⢠⣀⣀⡀⣀⢀⣀⣀⣀⢀⣀⡀⡀⣀⣀⣀⡀⣀⣀⠀⠀⠀⠀⢀⠀⡀⠀⠀⢰⣷⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤ ⠁⢀⡉⠈⠋⠿⢿⣜⣟⣼⣿⣟⣷⣽⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⡟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⣹⣿⠟⠖⠲⡤⢄⠈⠉⠛⠛⠛⠉⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡇⣦⣰⢰⢠⠤⡤⢤⢤⢠⠄⡤⡄⡦⡦⠀⡔⠒⢰⡠⢄⣤⠄⠄⡄⡤⣠⡄⣤⠄⠀⠀⢰⢒⠀⢆⣴⠀⢰⠀⣤⡄⡄⡄⠤⡠⡦⡦⣤⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡇⠃⠉⠘⠘⠂⠃⠈⠊⠐⠂⠑⠁⠃⠑⠀⠈⠒⠘⠑⠊⠐⠁⠓⠃⠁⠑⠂⠒⠁⠀⠀⠈⠒⠁⠈⠘⠀⠘⠒⠓⠃⠜⠀⠁⠡⣡⡅⠀⠁⠩⢭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣯⣿⢽⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠛⠋⠛⠉⠉⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣤⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣿⣧⣾⣗⣽⢺⢏⣿⢟⣿⣻⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠉⠃⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠛⠿⣿⣿⣾⣿⣮⣛⣊⡟⣼⣺⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠧⠀⠀⢀⣤⠀⠀⠀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣭⣶⡦⠀⠠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣠⣾⣿⣿⣿⣿⣿⣿⡀⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⠋⢻⡟⠛⣿⡟⠋⠉⢉⡛⠛⢿⣿⣿⡏⢉⠉⡉⠉⢹⣿⣿⠛⠁⠀⠀⠀⠈⢙⠻⠏⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠃⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢤⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⠁⣿⡇⡈⢰⣶⣶⣅⢂⠘⣿⡇⡄⠼⠿⠿⣿⡟⢀⢂⣴⣿⣿⣿⣶⡘⠀⠀⢸⣿⠿⣿⣿⣿⣿⣿⣿⣿⣁⢀⡃⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡠⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣸⣿⣿⣿⠀⠆⣿⠃⠷⢀⣀⣀⣴⠆⠆⢸⣿⣿⣿⣿⣿⡇⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⡧⠀⠀⠂⠤⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⠂⣾⣿⣿⠀⠆⣿⠃⡁⢹⣿⠿⢋⣰⢠⣿⠁⠃⠿⡿⢿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢈⣄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⠟⠁⢰⡒⠓⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢀ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣄⣀⣿⣇⣂⣀⣀⣐⣮⣶⣿⣿⣄⣀⣀⣀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⡿⢻⣿⣽⣿⣿⣿⣿⣿⠇⠀⠀⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡷⠅ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠟⠋⠉⠁⠀⠙⣻⣿⡿⠟⢛⠅⠀⠀⠀⡻⠁⠉⠉⠙⢻⣯⠉⣹⡏⣩⣭⡆⠀⣶⣦⢸⡟⠁⣾⣷⣦⠸⡄ ⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣏⣿⣿⣷⢰⣿⣿⣿⡄⢰⣿⣿⠀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⡄ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠈⠛⠿⠿⠇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢺⣿⡇⠘⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣠⡆ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⢿⣿⣿⡿⣻⣿⡇⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠂⠸⣿⣶⠒⠀⠀⠀⠀⠀⢿⠿⢿⣿⡗ ⣿⣿⣿⣿⣟⣛⣿⣟⣿⣿⣛⣻⣻⣿⣝⣿⣿⣻⣿⣿⣷⣿⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠠⠀⠈⠀⠘⠞⠇ ⣿⠿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣟⢿⣿⣿⡟⢫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⢀⣀⣀⢠⣀⣀⡀⣀⢀⣀⣀⣀⢀⣀⣀⡀⢀⣀⣀⡀⣀⣀⠀⠀⠀⠀⢀⠀⡀⠀⠀⢰⣧⣀⣤⣤⣤⣤⣤⣤⣤⣤⣲ ⠁⢀⡉⠈⠋⠿⢿⣜⣟⣼⣿⣟⣷⣽⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⡟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⣹⣿⡻⠔⠰⢤⠀⠊⠉⠛⠛⠛⠉⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡇⣦⣰⣰⢢⠄⡤⢀⢄⠠⠄⡠⡀⡶⡦⠀⡰⠒⢰⡠⢄⡠⠄⠀⡄⡤⡠⠄⡠⠀⠀⠀⢰⣒⠄⢆⣴⠀⢰⠀⡠⡄⡀⡀⡠⡠⡶⡖⡤⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡇⠋⠙⠘⠘⠒⠃⠘⠚⠐⠃⠓⠃⠃⠓⠀⠑⠒⠘⠑⠊⠒⠃⠒⠃⠃⠑⠂⠚⠡⠀⠀⠘⠒⠁⠈⠘⠀⠘⠒⠓⠃⠐⠀⠂⠡⣡⡅⠊⠁⠩⢍⡩⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣯⣿⢽⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠛⠋⠛⠉⠉⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠐⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣿⣧⣾⣗⣽⢺⢏⣿⢟⣿⣻⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠉⠃⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣺⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠔⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠦⢤⣀⡀⠀⠀⠀⠀⠈ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠧⠀⠀⢀⣀⠀⠀⡀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣭⣶⡆⠀⠠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣠⣴⣶⣾⣿⣿⣶⣿⡀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠈ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⠛⣿⡟⠋⠉⢉⡛⠛⢿⣿⣿⡏⢉⠉⡉⠉⢹⣿⣿⠛⠁⠀⠀⠀⠈⢙⠻⡏⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠃⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢄⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡁⣿⡇⡈⢰⣶⣶⣅⢂⠘⣿⡇⡄⠼⠿⠿⣿⡟⢀⢂⣴⣿⣿⣿⣶⡘⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⢀⡃⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢧⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣸⣿⣿⣿⠀⠆⣿⠃⠷⢀⣀⣀⣴⠆⠆⢸⣿⣿⣿⣿⣿⡇⢀⠀⢸⣿⣷⣿⣿⣿⣿⣽⣿⣿⢻⣿⣧⠀⠄⠢⡄⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⠂⣾⣿⣿⠀⠆⣿⠃⡁⢹⣿⠿⢋⣰⢠⣿⠁⠃⠿⡿⢿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢈⡄⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⢟⠁⢲⡒⠓⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣄⣀⣿⣇⣂⣀⣀⣐⣮⣶⣿⣿⣄⣀⣀⣀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡿⣆ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠛⠉⠉⠀⠀⠙⣻⣿⣿⠟⢛⠉⠀⠀⠀⠛⠁⠈⠉⠉⠿⣯⠉⣹⡏⣩⣭⡆⠀⣶⣦⢸⡟⠁⣾⣷⣦⢸⣥ ⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣟⣿⣿⣷⢰⣿⣿⣿⡄⢰⣿⣿⠀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠈⠙⠁⠐⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⢀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠈⠛⠿⠿⠇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢺⣿⡇⠈⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣠⡆ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⢿⣿⣿⡿⣻⣿⡇⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⢺⣿⡶⠒⠀⠀⠀⠀⠀⠿⠿⢿⣿⡇ ⣿⣿⣿⣿⣟⣛⣿⣟⣿⣿⣟⣻⣿⣿⣝⣿⣿⣻⣿⣿⣷⣿⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢋⠀⠀⠀⠀⠠⠀⠈⠀⠘⠞⠟ ⣿⠿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣟⢿⣿⣿⡿⢫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⢀⣀⣀⢠⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⡀⡀⣀⣀⣀⡀⣀⣀⠀⡀⠀⠀⢀⠀⠀⠀⠀⣿⣄⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤ ⠁⢈⡉⠈⠋⠿⢿⣜⣟⣼⣿⣟⣷⣽⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⡟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⣹⣿⡟⠖⠲⡤⢄⠈⠉⠛⠛⠻⠍⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡏⣯⣹⢹⢉⠍⡁⢀⢀⠀⠀⡀⡀⡖⡄⠀⡠⠂⢰⣀⣉⡠⠁⡉⡍⡩⡀⡀⡀⠀⠀⠀⢠⣒⠄⠆⣽⠉⢹⠉⡩⡁⡀⡀⡀⡀⡖⡖⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡇⠋⠙⠘⠘⠒⠃⠐⠚⠘⠃⠓⠃⠃⠓⠀⠑⠒⠘⠑⠊⠚⠃⠒⠃⠃⠛⠃⠚⠢⠀⠀⠘⠒⠃⠈⠘⠀⠘⠒⠛⠃⠐⠁⠂⠡⣡⡅⠈⠀⠩⠉⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣯⣿⢽⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠛⠋⠛⠉⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣤⠖⠀⠀⠀⠀⠀⠉⠙⠛⠻⠿⣿⣿⣿⣧⣾⣗⣽⢺⢏⣿⢟⣿⣻⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠉⠃⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣾⣿⣮⣛⣊⡟⣼⣺⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢀⣀⠀⠀⠀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣭⣶⡆⠀⠠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣠⣶⣿⣿⣿⣿⣿⣷⡀⢀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⠋⢻⡟⠛⣿⡟⠋⠉⢉⡛⠛⢿⣿⣿⡏⢉⠉⠉⠉⢹⣿⣿⠛⠁⠀⠀⠀⠈⢙⠻⠇⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠃⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⠁⣿⡇⡈⢰⣶⣶⣅⢂⠘⣿⡇⡄⠴⠿⠿⣿⡟⢀⢂⣴⣿⣿⣿⣶⡘⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⢨⠁⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣸⣿⣿⣿⠀⠆⣿⠃⠷⢀⣀⣀⣴⠆⠆⢸⣿⣿⣿⣿⣿⡇⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⡷⠀⠀⠂⠤⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⠂⣾⣿⣿⠀⠆⣿⠃⡁⢹⣿⠿⢋⣰⢠⣿⠁⠃⠿⡿⢿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢈⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠙⡟⠁⢲⡒⠓⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠁ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣼⣿⣿⣿⣄⣀⣿⣇⣂⣀⣀⣐⣮⣶⣿⣿⣄⣀⣀⣀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⡿⢻⣿⣟⣿⣿⣿⣿⣿⠃⠀⠀⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡿⠁ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠛⠉⠉⠀⠀⠙⣻⣿⡿⠟⢛⠁⠀⠀⠘⠟⠀⠉⠉⠙⣻⣯⠉⣹⡏⣩⣭⡆⠀⣶⣦⢸⡟⠁⣾⣷⣦⢰⡅ ⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣏⣿⣿⣷⢰⣿⣿⣿⡄⢰⣿⣿⠀⠾⠋⠀⠀⠀⠀⠀⠀⠀⠈⠙⠁⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⢤ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠈⠻⠿⠿⠇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢺⣿⡇⠈⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⡆ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⢿⣿⣿⡿⣻⣿⡇⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠀⢙⣿⣶⠒⠀⠀⠀⠀⠀⠿⠿⢿⣿⡇ ⣿⣿⣿⣿⣟⣛⣿⣟⣿⣿⣟⣛⣿⣿⣝⣿⣿⣻⣿⣿⣷⣿⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢩⠀⠀⠀⠀⠠⠀⠈⠀⠘⠞⠏ ⣿⠿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣟⢿⣿⣿⡟⢫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⢀⣀⣀⢠⣀⣀⡀⣀⢀⣀⣀⣀⢀⣀⡀⡀⣀⣀⣀⡀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣆⣀⣤⣤⣤⣤⣤⣤⣤⣤⣠ ⠁⢀⡉⠈⠋⠿⢿⣜⣟⣼⣿⣟⣷⣼⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⡟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⣹⣿⡟⠖⠰⢤⠄⠊⠉⠛⠛⠛⠉⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡏⣭⣩⢙⢉⣉⣉⢀⢀⢀⠀⡀⡀⡔⡄⠀⡩⠩⢹⢉⣉⣉⡉⡉⡉⡉⣉⡀⣀⠀⠀⠀⢠⣀⠀⠄⣭⠉⢩⠉⣉⡁⡀⡀⡀⡀⡄⡔⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡇⠋⠛⠘⠘⠀⠃⠐⠘⠈⠃⠃⠃⠃⠃⠀⠑⠐⠘⠑⠚⠊⠃⠂⠃⠃⠋⠁⠋⠂⠀⠀⠘⠀⠃⠈⠙⠀⠘⠀⠋⠃⡠⠁⠀⠡⣡⡅⠉⠀⠩⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣯⣿⢽⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠒⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣤⠖⠀⠀⠀⠀⠀⠉⠙⠛⠻⠿⣿⣿⣿⣧⣾⣗⣽⢺⢏⣿⢟⣿⣻⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠉⠃⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣾⣿⣮⣛⣊⡟⣼⣺⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢀⣀⠀⠀⡀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣭⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣤⣶⣷⣿⣿⣿⣾⣿⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠈ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⠋⢻⡟⠛⣿⡟⠋⠉⢉⡛⠛⢿⣿⣿⡏⢉⠉⠉⠁⢹⣿⣿⠛⠁⠀⠀⠀⠈⢙⢻⠇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠃⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣔⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⠁⣿⡇⡈⢰⣶⣶⣅⢂⠘⣿⡇⡄⠼⠿⠿⣿⡟⢀⢂⣴⣿⣿⣿⣶⡘⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢐⠁⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣸⣿⣿⣿⠀⠆⣿⠃⠷⢀⣀⣀⣴⠆⠆⢸⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣶⣿⣿⣿⣯⣿⣿⣿⢻⣿⡷⠀⠀⠂⠤⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⠂⣾⣿⣿⠀⠆⣿⠃⡁⢹⣿⠿⢋⣰⢠⣿⠁⠃⠿⡿⢿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢈⡄⣸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠘⠿⠃⢲⡚⠓⠓⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣄⣀⣿⣇⣂⣀⣀⣐⣮⣶⣿⣿⣄⣀⣀⣀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⠇ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠛⠉⠉⠀⠈⢛⣻⣿⡿⠟⢛⠁⠀⠀⠐⠛⠉⠉⠉⠙⢻⣯⠉⣹⡏⣩⣭⡆⠀⣶⣦⢸⡟⠁⣾⣷⣦⢰⢄ ⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣏⣿⣿⣷⢰⣿⣿⣿⡄⢸⣿⣿⠀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠉⠙⠁⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⣠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠈⠻⠿⠿⠇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠤ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢺⣿⡇⠈⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣠⡆ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⢿⣿⣿⡿⣻⣿⡇⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣶⠒⠀⠀⠀⠀⠀⠻⠿⢿⣿⡇ ⣿⣿⣿⣿⣏⣛⣿⣟⣿⣿⣛⣻⣿⣿⣝⣿⣿⣻⣿⣿⣷⣿⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠫⠀⠀⠀⠀⠠⠀⠈⠀⠸⠞⠇ ⣿⠿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣟⢿⣿⣿⡟⢫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⢀⣀⣀⢀⣀⣀⡀⣀⢀⣀⣀⣀⢀⣀⡀⡀⢀⣀⣀⡀⣀⣀⠀⠀⠀⠀⢀⠀⡀⠀⠀⣰⣧⣀⣤⣤⣤⣤⣤⣤⣤⣤⣦ ⠁⢀⡉⠈⠋⠿⢿⣜⣟⣼⣿⣟⣷⣼⣿⠃⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⡟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⣹⣿⡛⠖⠲⡤⢄⠈⡉⠛⠛⠻⠍⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡏⣭⢩⢩⢉⣉⣉⢁⣀⢀⡀⣀⡀⣄⣌⠁⡩⠭⢩⢉⡉⣉⡉⠉⡉⣉⣉⡉⣉⡀⠀⠀⢠⠤⠀⠌⣩⠉⢩⠉⣉⡁⡀⡀⣀⢀⣄⣄⣀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡇⠏⠛⠸⠘⠄⠇⠘⠜⠨⠀⠣⠃⠇⠣⠀⠑⠄⠸⠣⠜⠩⠂⠦⠇⠃⠫⠅⠩⠂⠀⠀⠘⠤⠃⠘⠹⠀⠸⠤⠫⠇⡡⠁⠀⠡⣡⡅⠩⠀⢩⢩⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣯⣿⢽⣿⣿⣿ ⣿⣿⣷⣶⣶⣶⣶⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠒⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣾⣶⣶⣿⡆⠀⠀⠀⠀⠐⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣿⣧⣾⣗⣽⢺⢏⣿⢟⣿⣻⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠉⠃⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣺⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠔⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⢠⡄⠀⢀⡀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣭⣶⡆⣀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢁⣴⣾⣿⣿⣿⣿⣿⣧⢀⢀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡀⠘ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⠛⣿⡟⠋⠉⢉⡛⠛⢿⣿⣿⡏⢉⠉⡉⠉⢹⣿⣿⠛⠁⠀⠀⠀⠈⢙⠻⠁⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡞⢸⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡁⣿⡇⡈⢰⣶⣶⣅⢂⠘⣿⡇⡄⠴⠿⠿⣿⡟⢀⢂⣴⣿⣿⣿⣶⡘⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡄⣸⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣸⣿⣿⣿⠀⠆⣿⠃⠷⢀⣀⣀⣴⠆⠆⢸⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣾⣿⣿⣿⣿⣿⣿⡟⣿⣿⡾⠀⠀⠢⡤⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⠂⣾⣿⣿⠀⠆⣿⠃⡁⢹⣿⠿⢋⣰⢠⣿⠁⠃⠿⡿⢿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢀⡄⣻⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠙⡟⠃⢲⡒⠓⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣁ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣄⣀⣿⣇⣂⣀⣀⣐⣮⣶⣿⣿⣄⣀⣀⣀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⡟⢿⣿⣻⣿⣿⣿⣿⣿⠃⠀⠀⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡿⣀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠛⠉⠉⠀⠈⢛⣻⣿⡿⠟⠛⠁⠀⠀⠀⠟⠁⠉⠉⠙⢿⣯⠉⣹⡏⣩⣭⡆⠀⣶⣦⢸⡟⠁⣾⣷⣦⢸⡡ ⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣟⣿⣿⣿⢰⣿⣿⣿⡄⢸⣿⣿⠀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠉⠙⠁⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⢂ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠈⠻⠿⠿⠇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠤ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢺⣿⡇⠈⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣠⡖ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⢿⢿⣿⣿⡿⣻⣿⡇⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠈⠹⣿⣶⠒⠀⠀⠀⠀⠀⢻⠿⢿⣿⡗ ⣿⣿⣿⣿⣟⣛⣿⣟⣿⣿⣟⣻⣿⣿⣝⣿⣿⣻⣿⣿⣷⣿⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠩⠣⠀⠀⠀⠀⠠⠀⠈⠀⠘⠞⠧ ⣿⠿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣟⢿⣿⣿⡿⢫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⢀⣀⣀⢀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⡀⣀⣀⣀⡀⣀⡀⠀⡀⠀⠀⢀⠀⡀⠀⠀⢰⣧⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤ ⠁⢈⡉⠈⠋⠿⢿⣜⣟⣼⣿⣟⣷⣽⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⡟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⣹⣿⡟⠖⠲⡤⣄⠉⠉⠛⠛⠻⠍⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡏⣍⢩⢩⢉⣉⣉⡁⡀⢀⡀⢀⠀⣤⣌⠁⡩⠭⢩⢉⡉⢉⡉⠉⡉⣉⢉⡉⣁⠀⠀⠀⢠⠤⡀⡌⣩⠉⢩⠉⣉⡁⡀⠀⣀⢀⣤⣤⣀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡇⠏⠻⠼⠸⠤⠇⠸⠜⠠⠆⠧⠇⠇⠧⠀⠣⠤⠸⠣⠜⠥⠆⠤⠇⠇⠣⠄⠥⠂⠀⠀⠸⠭⠂⠘⠹⠀⠸⠤⠮⠇⡡⠁⠤⠣⣥⡅⠥⠀⠩⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣯⣿⢽⣿⣿⣿ ⣿⣿⣷⣶⣶⣶⣶⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠒⠂⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣶⣶⣶⣷⡆⠀⠀⠀⠀⠀⣤⠖⠀⠀⠀⠀⠀⠉⠙⠛⠻⠿⣿⣿⣿⣧⣾⣗⣽⢺⢏⣿⢟⣿⣻⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠉⠃⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣾⣿⣮⣛⣊⡟⣼⣺⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⣀⣤⣄⠀⠀⠀⠀⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣭⣶⡆⠀⠠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢡⣶⣿⣿⣿⣿⣿⣿⣇⢀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⠋⢻⡟⠛⣿⡟⠋⠉⢉⡛⠛⢿⣿⣿⡏⢉⠉⠉⠉⢹⣿⣿⠛⠁⠀⠀⠀⠈⢙⠻⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡜⢸⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⠁⣿⡇⡈⢰⣶⣶⣅⢂⠘⣿⡇⡄⠴⠿⠿⣿⡟⢀⢂⣴⣿⣿⣿⣶⡘⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡀⣘⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣸⣿⣿⣿⠀⠆⣿⠃⠷⢀⣀⣀⣴⠆⠆⢸⣿⣿⣿⣿⣿⡇⠀⠀⣿⣷⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⡮⠀⠀⠂⡄⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⠂⣾⣿⣿⠀⠆⣿⠃⡁⢹⣿⠿⢋⣰⢠⣿⠁⠃⠿⡿⢿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠙⡟⠁⢲⡒⠓⠓⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠁ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣄⣀⣿⣇⣂⣀⣀⣐⣮⣶⣿⣿⣄⣀⣀⣀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡿⡄ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠛⠉⠉⠀⠈⢟⣻⣿⡿⠟⢋⠁⠀⠀⢀⠛⠁⠉⠉⠙⢻⣯⠉⣹⡏⣩⣭⡆⠀⣶⣦⢸⡟⠁⣾⣷⣦⢘⡁ ⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣏⣿⣿⣷⢰⣿⣿⣿⡄⢰⣿⣿⠀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠉⠙⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⣀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠈⠻⠿⠿⠇⢸⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠟⠛⠛⠛⠻⣿⣶⡄⠈⠠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢺⣿⡇⠈⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⡆ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⢿⣿⣿⡿⣻⣿⡇⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠘⣿⣶⠒⠀⠀⠀⠀⠀⠿⠿⢿⣿⡇ ⣿⣿⣿⣿⣟⣛⣿⣟⣿⣻⣛⣛⣻⣻⣝⣿⣿⣻⣿⣿⣷⣿⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠫⠀⠀⠀⠀⠠⠀⠈⠀⠘⠞⠇ ⣿⠿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣟⢿⣿⣿⡟⢫⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣀⣀⡀⢀⢀⣀⡀⡀⢀⣀⣀⢠⣀⣀⡀⣀⢀⣀⣀⣀⢀⣀⡀⡀⣀⣀⣀⡀⣀⡀⠀⠀⠀⠀⢀⠀⡀⠀⠀⢰⣧⣀⣤⣤⣤⣤⣤⣤⣤⣴⣤ ⠁⢀⡉⠈⠋⠿⢿⣜⣟⣼⣿⣟⣷⣼⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⡟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⣹⣿⡟⠖⠰⢤⢄⠊⠉⠛⠛⠻⠉⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡟⣟⢩⢻⠛⡋⡉⠁⡀⠀⠀⢀⠀⣤⣀⠉⢉⠭⢩⢉⡉⢉⠉⠉⡉⢉⢉⠉⢁⠀⠀⠀⢀⠤⡀⡌⣩⠉⢩⠉⢉⠃⠀⠀⢀⠀⡤⡤⢀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡇⠟⠻⠸⠸⠤⠇⠨⠼⠠⠆⠧⠇⠇⠧⠀⠣⠤⠸⠣⠜⠵⠆⠤⠇⠇⠷⠆⠵⢆⠀⠀⠸⠭⠂⠐⠹⠀⠸⠤⠷⠇⠡⠁⠅⠣⣥⡅⠥⠀⠩⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣯⣿⢽⣿⣿⣿ ⣿⣿⣷⣶⣶⣶⣶⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠒⠀⠒⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣶⣶⣶⣷⡆⠀⠀⠀⠀⠐⣴⠖⠀⠀⠀⠀⠀⠉⠙⠛⠻⠿⣿⣿⣿⣧⣾⣗⣽⢺⢏⣿⢟⣿⣻⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠉⠃⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣾⣿⣮⣛⣊⡟⣼⣺⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠦⢤⣀⡀⠀⠀⠀⠀⠈ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢠⡀⠀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣭⣶⡆⠀⠠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢇⣴⣾⣿⣿⣿⣿⣿⣧⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠐ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⠋⢻⡟⠛⣿⡟⠋⠉⢉⡛⠛⢿⣿⣿⡏⢉⠉⠉⠉⢹⣿⣿⠛⠁⠀⠀⠀⠈⢙⢻⠃⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠸⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⠁⣿⡇⡈⢰⣶⣶⣅⢂⠘⣿⡇⡄⠼⠿⠿⣿⡟⢀⢂⣴⣿⣿⣿⣶⡘⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡀⢸⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢤⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣸⣿⣿⣿⠀⠆⣿⠃⠷⢀⣀⣀⣴⠆⠆⢸⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣷⣿⡶⠀⠀⠲⠄⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠂ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⠂⣾⣿⣿⠀⠆⣿⠃⡁⢹⣿⠿⢋⣰⢠⣿⠁⠃⠿⡿⢿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢀⣄⣻⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠹⡿⠁⢰⡒⠓⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣄⣀⣿⣇⣂⣀⣀⣐⣮⣶⣿⣿⣄⣀⣀⣀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⡿⣿⣟⣿⣿⣿⣿⣿⣿⠃⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡿⣁ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠛⠋⠉⠀⠘⢿⣻⣿⡿⠟⢛⠍⠀⠀⢠⠿⠈⠉⠉⠛⢿⣯⠉⣹⡏⣩⣭⡆⠀⣶⣦⢸⡟⠁⣾⣷⣦⢸⡍ ⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣟⣿⣿⣷⢰⣿⣿⣿⡄⢸⣿⣿⠀⠞⠉⠀⠀⠀⠀⠀⠀⠀⠉⠛⠁⠜⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⣀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠈⠻⠿⠿⠇⢸⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢺⣿⡇⠈⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⡄ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⢿⢿⣿⣿⡿⣻⣿⡇⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠘⣿⣶⠒⠀⠀⠀⠀⠀⠻⠿⢿⣿⡇ ⣿⣿⣿⣿⣟⣛⣿⣟⣿⣿⣛⣻⣿⣿⣝⣿⣿⣻⣿⣿⣷⣿⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⢙⠣⠀⠀⠀⠀⠠⠀⠈⠀⠘⠞⠗ ⣿⠿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣟⢿⣿⣿⡿⢫⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣀⣀⡀⢀⢀⣀⡀⡀⢀⣀⣀⢀⣀⣀⡀⣀⢀⣀⣀⣀⢀⣀⡀⡀⣀⣀⣀⡀⣀⣀⠀⡀⠀⠀⢀⠀⡀⠀⠀⢠⣷⣀⣤⣤⣤⣤⣤⣤⣤⣴⣶ ⠁⢀⡉⠈⠋⠿⢿⣜⣟⣼⣿⣟⣷⣽⣿⠃⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⣹⣿⠟⠔⠲⠤⢄⠈⡉⠛⠛⠻⠍⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡟⣟⢻⠻⠛⠛⠛⠁⠀⠀⠀⠀⠀⡠⡈⠁⢉⢝⢩⠋⠛⠛⠛⠛⠋⠉⠋⠉⠁⠀⠀⠀⢀⠀⡀⡈⣻⠛⢙⠛⠛⠃⠀⠀⠀⠀⡄⡠⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡇⠟⠻⠸⠸⠬⠏⠸⠸⠐⠆⠇⠇⠇⠇⠀⠣⠠⠸⠪⠝⠕⠇⠤⠇⠇⠷⠇⠗⢄⠀⠀⠸⠉⠆⠐⠻⠀⠸⠤⠷⠇⠡⠁⠅⠣⣥⡅⠡⠀⠭⢩⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣯⣿⢽⣿⣿⣿ ⣿⣿⣷⣶⣶⣶⣶⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣶⣶⣶⣷⡆⠁⠀⠀⠀⠠⣤⠄⠀⠀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣿⣧⣾⣗⣽⢺⢏⣿⢟⣿⣻⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠍⠃⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣺⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢠⡀⠀⠀⡀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣭⣶⡆⠀⠠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢇⣴⣾⣿⣿⣿⣿⣿⣧⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡄⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⠛⣿⡟⠋⠉⢉⡛⠛⢿⣿⣿⡏⢉⠉⡉⠉⢹⣿⣿⠛⠁⠀⠀⠀⠈⢙⠻⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣷⡇⠨⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡀⣿⡇⡈⢰⣶⣶⣅⢀⠘⣿⡇⡄⠼⠿⠿⣿⡟⢀⢂⣴⣿⣿⣿⣶⡘⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡀⢸⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⠀ ⣿⣿⣿⣿⣿⣆⠀⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣸⣿⣿⣿⠀⠆⣿⠃⠷⢀⣀⣀⣴⠆⠆⢸⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⡦⠀⠀⠂⡄⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⠂⣾⣿⣿⠀⠆⣿⠃⡁⢹⡿⠿⢋⣰⢠⣿⠁⠃⠿⡿⢿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢀⡄⣻⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠹⠟⠁⢲⡒⠓⠓⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠄ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣄⣀⣿⣆⣂⣀⣀⣐⣮⣶⣿⣿⣄⣀⣀⣀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⡿⣿⣟⣻⣿⣿⣿⣿⣿⠃⠀⠀⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⡅ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠛⠉⠉⠀⠘⢟⣻⣿⡿⠟⢛⠁⠀⠀⢠⠿⠈⠉⠉⠙⢻⣯⠉⢹⡏⣩⣭⡆⠀⣶⣦⢸⡟⠁⣾⣷⣦⢠⣄ ⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣟⣿⣷⣷⢰⣿⣿⣿⡄⢰⣿⣿⠀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠉⠙⠁⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⢀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣾⣿⣿⠈⠛⠿⠿⠇⢸⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠤ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢾⣿⡇⠘⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣠⡆ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⢿⣿⣿⣿⣻⣿⡇⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠊⠘⢿⡶⠒⠀⠀⠀⠀⠀⢻⠿⢿⣿⡇ ⣿⣿⣿⣿⣟⣛⣿⣟⣿⣿⣛⣛⣿⣿⣝⣿⣿⣻⣿⣿⣶⣿⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠛⡀⠀⠀⠀⠠⠀⠈⠀⠘⠎⠏ ⣿⠿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣟⢿⣿⣿⡿⢫⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣀⣀⡀⢀⢀⣀⡀⡀⢀⣀⣀⢀⣀⣀⡀⣀⢀⣀⣀⣀⢀⣀⣀⡀⢀⣀⣀⡀⣀⣀⠀⠀⠀⠀⢀⠀⡀⠀⠀⢀⣷⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤ ⠁⢈⡉⠈⠋⠿⢿⣜⣟⣼⣿⣟⣧⣼⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢻⣿⡟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⣹⣿⡿⠖⠰⠤⣀⠊⠉⠛⠛⠛⠉⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡟⡛⢛⢻⠛⠛⠛⠁⠀⠀⠀⠀⠀⡀⡘⠓⢛⢛⢛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠃⠀⠀⠀⢀⢀⠀⡈⣛⠛⢛⠛⠛⠃⠀⠀⠀⠀⡀⡀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡇⡟⠿⢸⠸⡉⠏⠸⠹⠘⠃⠏⠇⠏⠏⠀⠣⡀⠸⠎⠱⢟⠇⠄⡇⠏⠟⠃⠛⠄⠀⠀⠸⠈⠆⠰⢻⠀⢸⣀⢟⡇⠃⠁⠍⠯⣥⡍⠉⠀⠭⢭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣯⣿⢽⣿⣿⣿ ⣿⣿⣷⣶⣶⣶⣶⣦⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣼⣶⣶⣶⡆⠁⠀⠀⠀⠠⣤⠄⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣾⣗⣽⢺⢏⣿⢟⣿⣻⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠍⠃⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠛⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣺⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⢀⣠⡀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣭⣶⡆⠀⠠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣠⣶⣿⣿⣿⣿⣿⣿⡆⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⠋⣿⡟⠋⠉⢉⡛⠛⢿⣿⣿⡏⢉⠉⠉⠉⢹⣿⣿⠛⠁⠀⠀⠀⠈⢙⠻⠏⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⡟⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢄⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡀⣿⡇⡈⢰⣶⣶⣅⢀⠘⣿⡇⡄⠴⠿⠿⣿⡟⢀⢂⣴⣿⣿⣿⣶⡘⠀⠀⢸⣿⡿⣿⣿⣿⣿⣿⣿⣿⣇⠀⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀ ⣿⣿⣿⣿⣿⣆⠀⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣸⣿⣿⣿⠀⠆⣿⠃⠷⢀⣀⣀⣴⠆⠆⢸⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣾⣧⠀⠀⠒⠄⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⠂⣾⣿⣿⠀⠆⣿⡃⡁⢹⡿⠿⢋⣰⢠⣿⠁⠃⠿⡿⢿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢈⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠙⠿⠁⢲⡒⠓⠓⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣄⣀⣿⣇⣂⣀⣀⣐⣮⣶⣿⣿⣄⣀⣀⣀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⡁ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠛⠉⠉⠀⠀⠛⣻⣿⡿⠟⢛⠁⠀⠀⠀⠽⠈⠉⠉⠛⢻⣯⠉⢹⡏⣩⣭⡆⠀⣶⣦⢸⡟⠁⣾⣷⣦⢸⡅ ⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣟⣿⣿⣷⢰⣿⣿⣿⡄⢰⣿⣿⠀⠞⠉⠀⠀⠀⠀⠀⠀⠀⠈⠙⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⢀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣾⣿⣟⠈⠻⠿⠿⠇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢺⣿⡇⠈⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣠⡆ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⢿⣿⣿⣿⣻⣿⡇⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠈⠘⣿⣶⠒⠀⠀⠀⠀⠀⠿⠿⢿⣿⡇ ⣿⣿⣿⣿⣟⣛⣿⣟⣿⣿⣛⣛⣿⣿⣝⣿⣿⣻⣿⣿⣶⣿⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠫⠀⠀⠀⠀⠠⠀⠈⠀⠘⠎⠇ ⣿⠿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣟⢿⣿⣿⡿⢫⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣀⣀⡀⢀⢀⣀⡀⡀⢀⣀⣀⢀⣀⣀⡀⣀⢀⣀⣀⣀⢀⣀⡀⡀⢀⣀⣀⡀⣀⡀⠀⠀⠀⠀⢀⠀⡀⠀⠀⢰⣧⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤ ⠁⢀⡉⠈⠊⠿⢿⣜⣟⣼⣿⣟⣧⣼⣿⠃⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⡟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⣻⣿⡿⡖⠰⠤⢄⠈⠈⠛⠛⠛⠍⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡟⡛⢛⢛⠛⠛⠛⠁⠀⠀⠀⠀⠀⣀⡘⠛⢛⣛⢛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠀⠀⠀⢀⣀⠀⡈⢛⠛⢛⠛⠛⠃⠀⠀⠀⠀⡀⣀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡇⡟⢾⢸⢸⣉⡏⢹⡱⢘⡁⢎⡆⡏⣏⠀⢇⣀⢸⢎⡱⣊⡅⣀⡇⡏⢞⡃⣋⠄⠀⠀⢸⣒⠅⠱⢻⠀⢸⣀⣝⡇⢃⠁⢉⠮⣭⡍⣉⠀⠩⢍⡩⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣯⣿⢽⣿⣿⣿ ⣿⣿⣧⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⡄⠁⠀⠀⠀⠠⣤⠄⠀⠀⠀⠀⠀⠉⠙⠛⠻⠿⣿⣿⣿⣧⣾⣗⣽⢺⢏⣿⢟⣿⣻⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠍⠃⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣺⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢀⣀⠀⠀⣀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣭⣶⡆⠀⠠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣤⣶⣿⣿⣿⣿⣾⣿⡀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⠋⣿⡟⠋⠉⢉⡛⠛⢿⣿⣿⡏⢉⠉⡉⠉⢹⣿⣿⠛⠁⠀⠀⠀⠈⢙⠻⠇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠃⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢤⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡀⣿⡇⡈⢰⣶⣶⣅⢀⠘⣿⡇⡄⠴⠿⠿⣿⡟⢁⢂⣴⣿⣿⣿⣶⡘⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⢐⡃⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠠⠀ ⣿⣿⣿⣿⣿⣆⠀⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣸⣿⣿⣿⠀⠆⣿⠃⠷⢀⣀⣀⣴⠆⠆⢸⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣶⣿⣿⣿⣿⣿⣿⣿⢻⣿⡧⢀⠀⠲⠄⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⠂⣾⣿⣿⠀⠆⣿⠃⡁⢹⡿⠿⢋⣰⢠⣿⠁⠃⠿⡿⢿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢀⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠙⠿⠁⢲⡚⠓⠓⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣄⣀⣿⣆⣂⣀⣀⣐⣮⣶⣿⣿⣄⣀⣀⣀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡟⡄ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠛⠉⠉⠀⠈⢛⣻⣿⡿⠟⢛⠁⠀⠀⠐⠻⠉⠉⠉⠛⢻⣯⠉⢹⡏⣩⣭⡆⠀⣶⣦⢸⡟⠁⣾⣷⣦⢨⣥ ⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣟⣿⣿⣷⢰⣿⣿⣿⡄⢰⣿⣿⠀⠞⠋⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⡀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣾⣿⣟⠈⠻⠿⠿⠇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢺⣿⡇⠈⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⡆ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⢿⣿⣿⣿⣻⣿⣇⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠘⣿⣶⠒⠀⠀⠀⠀⠀⠻⠿⢿⣿⡇ ⣿⣿⣿⣿⣟⣛⣿⣟⣿⣿⣛⣛⣻⣿⣝⣿⣿⣻⣿⣿⣶⣿⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡹⠫⠀⠀⠀⠀⠠⠀⠈⠀⠘⠎⠇ ⣿⠿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣟⢿⣿⣿⡿⢫⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣀⣀⡀⢀⢀⣀⡀⡀⢀⣀⣀⢀⣀⣀⡀⣀⢀⣀⣀⣀⢀⣀⡀⡀⢀⣀⣀⡀⣀⣀⠀⠀⠀⠀⢀⠀⡀⠀⠀⢰⣷⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤ ⠁⢀⡉⠈⠊⠿⢿⣜⣟⣼⣿⣟⣧⣼⣿⠃⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢻⣿⡟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⣩⣿⠿⡔⠰⢄⢀⠈⠉⠛⠛⠛⠍⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡟⡛⢛⢛⠛⠛⠛⠁⠀⠀⠀⠀⠀⣀⡘⠛⢛⣛⢛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠃⠀⠀⠀⢀⣀⠀⡈⢛⠛⢛⠛⠛⠃⠀⠀⠀⠀⣀⣀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡇⡿⢾⢸⢰⣁⡏⢰⣱⢈⡅⣎⡆⡏⣏⠀⢆⣀⢸⢎⡱⣊⡅⣀⡇⡎⢎⡁⣪⠄⠀⠀⢸⣒⠅⠱⢻⠀⢸⣀⣮⡇⢂⠂⣈⠤⣥⡍⣨⠀⠩⠉⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣯⣿⢽⣿⣿⣿ ⣿⣿⣧⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣥⡄⠀⠀⠀⠀⠠⣤⠄⠀⠀⠀⠀⠀⠉⠙⠛⠻⠿⣿⣿⣿⣧⣾⣗⣽⢺⢏⣿⢟⣿⣻⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠍⠃⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣺⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢀⣀⠀⠀⡀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣭⣶⡆⠀⠠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣤⣶⣿⣿⣿⣿⣾⣿⡀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⠛⣿⡟⠋⠉⢉⡛⠛⢿⣿⣿⡏⢉⠉⡉⠉⢹⣿⣿⠛⠁⠀⠀⠀⠈⢙⠻⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠃⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡀⣿⡇⡈⢰⣶⣶⣅⢀⠘⣿⡇⡄⠴⠿⠿⣿⡏⢀⢂⣴⣿⣿⣿⣶⡘⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢐⡃⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⠀ ⣿⣿⣿⣿⣿⣆⠀⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣸⣿⣿⣿⠀⠆⣿⠃⠷⢀⣀⣀⣴⠆⠆⢸⣿⣿⣿⣿⣿⡇⠀⠀⢾⣿⣶⣿⣿⣿⣯⣿⣿⣿⢺⣿⣧⠀⠀⠢⠄⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⠂⣾⣿⣿⠀⠆⣿⡃⡁⢹⡿⠿⢋⣰⢠⣿⠁⠃⠿⡿⠿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢀⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠙⠟⠁⢲⡒⠓⠓⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣄⣀⣿⣇⣂⣀⣀⣐⣮⣶⣿⣿⣄⣀⣀⣀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⡿⢿⣿⡿⣿⣿⣿⣿⣿⠇⠀⠀⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡿⣇ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠛⠉⠉⠀⠈⢻⣻⣿⡿⠟⢛⠁⠀⠀⠐⠻⠉⠉⠉⠛⢿⣯⠉⢹⡏⣩⣭⡆⠀⣶⣦⢸⡟⠁⣾⣷⣦⠸⡅ ⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣟⣿⣷⣷⢰⣿⣿⣿⡄⢰⣿⣿⠀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠉⠙⠁⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⡄ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣾⣿⣿⠈⠛⠿⠿⠇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢾⣿⡇⠈⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣠⡆ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⢿⣿⣿⣿⣻⣿⣇⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠈⠘⢿⡶⠒⠀⠀⠀⠀⠀⠿⠿⢿⣿⡇ ⣿⣿⣿⣿⣏⣛⣿⣟⣿⣿⣛⣛⣻⣿⣝⣿⣿⣻⣿⣿⣶⣿⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡹⠻⠀⠀⠀⠀⠠⠀⠈⠀⠘⠞⠇ ⣿⠿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣟⢿⣿⣿⡿⢫⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣀⣀⡀⢀⢀⣀⡀⡀⢀⣀⣀⢀⣀⣀⡀⣀⢀⣀⣀⣀⢀⣀⡀⡀⢀⣀⣀⡀⣀⡀⠀⠀⠀⠀⢀⠀⡀⠀⠀⢰⣧⣀⣤⣤⣤⣤⣤⣤⣤⣤⣶ ⠁⢀⡉⠈⠊⠿⢿⣜⣟⣼⣿⣟⣧⣼⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢻⣿⡟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⣩⣿⠿⠖⠰⢤⢀⠈⠉⠛⠛⠛⠉⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⡿⢿⢿⠿⠿⠿⠁⠀⠀⠀⠀⠀⣀⠘⠓⠛⡛⢛⠟⠿⠿⠿⠟⠿⠟⠛⠛⠃⠀⠀⠀⠀⣀⠀⡈⢛⠿⢛⠿⠿⠇⠀⠀⠀⠀⣀⣀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡇⡿⢾⢸⢰⣁⡗⢰⣰⢠⡄⣆⡆⡇⣇⠀⢎⣀⢸⢖⡲⣢⡄⣀⡆⡆⣦⡆⣢⡀⠀⠀⢸⣒⡅⠡⢿⠀⢸⣀⣮⡆⢂⠀⡀⠤⣥⡅⣠⠀⠩⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣯⣿⢽⣿⣿⣿ ⣿⣿⣧⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣥⡄⠂⠀⠀⠀⠀⣠⠄⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣾⣗⣽⢺⢏⣿⢟⣿⣻⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠍⠃⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠛⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣺⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢀⣀⡀⠀⣀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣭⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣠⣶⣾⣿⣿⣿⣶⣿⡀⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡀⠘ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⠛⣿⡟⠋⠉⢉⡛⠛⢿⣿⣿⡏⢉⠉⠉⠉⢹⣿⣿⠛⠁⠀⠀⠀⠈⢙⠻⠏⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣖⠃⡟⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢄⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡀⣿⡇⡈⢰⣶⣶⣅⢀⠘⣿⡇⡄⠼⠿⠿⣿⡟⢁⢂⣴⣿⣿⣿⣶⡘⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀ ⣿⣿⣿⣿⣿⣆⠀⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣸⣿⣿⣿⠀⠆⣿⠃⠷⢀⣀⣀⣴⠆⠆⢸⣿⣿⣿⣿⣿⡇⢀⠀⢸⣿⣶⣿⣿⣿⣿⣽⣿⣿⢿⣿⣷⠀⠀⠂⠤⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⠂⣾⣿⣿⠀⠆⣿⡃⡁⢹⡿⠿⢋⣰⢠⣿⠁⠃⠿⡿⢿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢈⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠘⠿⢑⢲⡒⠓⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣄⣀⣿⣇⣂⣀⣀⣐⣮⣶⣿⣿⣄⣀⣀⣀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠛⠉⠉⠀⠀⠛⣻⣿⡿⠟⢛⠉⠀⠀⠀⡿⠉⠉⠉⠛⢿⣯⠉⢹⡏⣩⣭⡆⠀⣶⣦⢸⡟⠁⣾⣷⣦⢰⡄ ⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣟⣿⣷⣷⢰⣿⣿⣿⡄⢰⣿⣿⠀⠞⠉⠀⠀⠀⠀⠀⠀⠀⠉⠙⠁⠰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⢀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣾⣿⣟⠈⠻⠿⠿⠇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠤ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢾⣿⡇⠈⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⡦ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⢿⣿⣿⣿⣻⣿⡇⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⣿⣶⠒⠀⠀⠀⠀⠀⠿⠿⢿⣿⡇ ⣿⣿⣿⣿⣟⣛⣿⣟⣿⣿⣛⣻⣻⣿⣝⣿⣿⣻⣿⣿⣶⣿⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⡸⠛⡀⠀⠀⠀⠠⠀⠈⠀⠘⠎⠇ ⣿⠿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣟⢿⣿⣿⡿⢫⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣀⣀⡀⢀⢀⣀⡀⡀⢀⣀⣀⢀⣀⣀⡀⣀⢀⣀⣀⣀⢀⣀⡀⡀⢀⣀⣀⡀⣀⡀⠀⠀⠀⠀⢀⠀⡀⠀⠀⢀⣷⣀⣤⣤⣤⣤⣤⣤⣤⣤⣶ ⠁⢀⡉⠈⠊⠿⢿⣜⣟⣼⣿⣟⣧⣼⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⡟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⣩⣿⠿⠖⠰⢤⢀⠈⠉⠛⠛⠛⠉⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⠿⠿⢿⠿⠿⠿⠁⠀⠀⠀⠀⠀⢀⠘⠓⠿⠟⢿⠿⠿⠿⠿⠿⠿⠿⠿⠛⠃⠀⠀⠀⠀⠀⠀⠈⠿⠿⠿⠿⠿⠇⠀⠀⠀⠀⠀⢀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡇⡿⣾⢴⢰⢒⡖⢰⢰⠰⠄⡆⡆⡇⡗⠀⢎⢈⢸⢔⣢⡲⡆⡀⡆⡖⡶⠆⠦⡀⠀⠀⢸⠒⡅⢡⢿⠀⢸⠀⡶⡆⠂⠀⠂⠤⣥⡅⠠⠀⠍⢩⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣯⣿⢽⣿⣿⣿ ⣿⣿⣧⣥⣤⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣬⣭⡄⠊⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣾⣗⣽⢺⢏⣿⢟⣿⣻⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠍⠃⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠛⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣺⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢀⣀⠀⠀⡀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣭⣶⡆⠀⠠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣠⣶⣶⣿⣿⣷⣾⣿⡀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠈ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⠛⣿⡟⠋⠉⢉⡛⠛⢿⣿⣿⡏⢉⠉⡉⠉⢹⣿⣿⠛⠁⠀⠀⠀⠈⢙⢻⠏⢰⣿⣿⣿⣿⣿⣿⣿⣿⣷⡇⠃⡛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡀⣿⡇⡈⢰⣶⣶⣅⢀⠘⣿⡇⡄⠼⠿⠿⣿⡟⢀⢂⣴⣿⣿⣿⣶⡘⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⢡⢀⡃⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣸⣿⣿⣿⠀⠆⣿⠃⠷⢀⣀⣀⣴⠆⠆⢸⣿⣿⣿⣿⣿⡇⢀⠀⢸⣿⣶⣿⣿⣿⣯⣿⣿⣿⢻⣿⡧⢀⠄⠂⡤⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠂ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⠂⣾⣿⣿⠀⠆⣿⡃⡁⢹⡿⠿⢋⣰⢠⣿⠁⠃⠿⡿⢿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢈⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⠟⠁⢲⡒⠓⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠁ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣄⣀⣿⣇⣂⣀⣀⣐⣮⣶⣿⣿⣄⣀⣀⣀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⡿⢿⣿⠿⣿⡿⣿⣿⣿⡏⠀⠀⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡷⡆ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠛⠉⠉⠀⠀⢛⣳⣶⡿⠟⢛⠉⠀⠀⠀⠻⠉⠉⠉⠛⢻⣯⠉⢹⡏⣩⣭⡆⠀⣶⣦⢸⡟⠁⣾⣷⣦⢸⣅ ⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣟⣿⣷⣷⢰⣿⣿⣿⡆⢰⣿⣿⠀⠞⠋⠀⠀⠀⠀⠀⠀⠀⠛⠟⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⢀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣾⣿⡿⠈⠛⠿⠿⠇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢺⣿⡇⠈⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⡆ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⢿⣿⣿⣿⣻⣿⡇⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣶⠒⠀⠀⠀⠀⠀⠻⠿⢿⣿⡇ ⣿⣿⣿⣿⣟⣛⣿⣟⣿⣿⣛⣻⣻⣿⣝⣿⣿⣻⣿⣿⣶⣿⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠋⠀⠀⠀⠀⠠⠀⠈⠀⠘⠞⠇ ⣿⠿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣟⢿⣿⣿⡿⢫⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣀⣀⡀⢀⢀⣀⡀⡀⢀⣀⣀⢀⣀⣀⡀⣀⢀⣀⣀⣀⢀⣀⣀⡀⢀⣀⣀⡀⣀⣀⠀⠀⠀⢀⢀⠀⡀⠀⠀⢠⣷⣀⣤⣤⣤⣤⣤⣤⣤⣤⣴ ⠁⢀⡉⠈⠋⠿⢿⣜⣟⣼⣿⣟⣧⣼⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⡟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⣩⣿⠿⠖⠰⢤⢀⠈⠉⠛⠛⠛⠉⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⠿⠿⠿⠿⠿⠿⠁⠀⠀⠀⠀⠀⠀⠘⠷⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠣⠀⠀⠀⠀⠀⠀⠨⠿⠿⠿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠠⠼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡇⡷⣼⢸⢰⠒⡖⢲⢢⠰⠂⡖⡆⡟⡗⠀⠎⠉⢸⡔⢢⠶⡂⠀⡆⡖⡴⠆⠖⡀⠀⠀⢸⠭⡀⢣⢾⠀⢸⠁⡲⡆⠆⠀⠐⡤⣧⡏⠔⡄⠍⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣯⣿⢽⣿⣿⣿ ⣿⣿⣇⣁⣈⣈⣈⣉⣁⣈⠁⠈⠁⠈⠀⠁⠈⠀⠈⠉⠈⠈⠁⠉⠁⠉⠁⠀⠈⠁⠉⠀⠀⠀⠈⠉⠀⣀⣈⣈⣈⣉⣋⡁⠊⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣿⣧⣾⣗⣽⢺⢏⣿⢟⣿⣻⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠍⠃⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣺⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢀⣀⡀⠀⢀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣭⣶⡦⠀⠠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣠⣶⣿⣿⣿⣿⣿⣿⡀⡀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⡀⠐ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⠛⣿⡟⠋⠉⢉⡛⠛⢿⣿⣿⡏⢉⠉⡉⠉⢹⣿⣿⠛⠉⠀⠀⠀⠈⢙⢻⠇⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠃⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡀⣿⡇⡌⢰⣶⣶⣅⢀⠘⣿⡇⡄⠴⠿⠿⣿⡟⢁⢂⣴⣿⣿⣿⣷⡘⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⢀⡃⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣸⣿⣿⣿⠀⠆⣿⠃⠷⢀⣀⣀⣴⠆⠆⢸⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣷⣿⣿⣿⣿⣿⣿⣿⢻⣿⣷⠀⠀⠂⠤⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢂⣾⣿⣿⠀⠆⣿⡃⡁⢹⡿⠿⢋⣰⢠⣿⠁⠃⠿⡿⢿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢀⣄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠙⠟⠉⢰⡒⠓⠓⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢂ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣄⣀⣿⣇⣢⣀⣀⣐⣮⣶⣿⣿⣄⣀⣀⣀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡟⡁ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠛⠉⠉⠀⠀⠛⣻⣿⡿⠟⢛⠁⠀⠀⠀⠯⠈⠉⠉⠛⢿⣯⠉⢹⡏⣩⣭⡆⠠⣶⣦⢸⡟⠁⣾⣷⣦⢸⣍ ⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣟⣿⣿⣷⢰⣿⣿⣿⡄⢰⣿⣿⠀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠉⠙⠁⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⢀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠈⠻⠿⠿⠇⢸⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠔ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⢺⣿⡇⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⡆ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⢿⣿⣿⣿⣻⣿⣇⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⠹⣿⣶⠒⠀⠀⠀⠀⠀⠿⠿⢿⣿⡇ ⣿⣿⣿⣿⣟⣛⣿⣟⣿⣿⣛⣻⣻⣿⣝⣿⣿⣻⣿⣿⣶⣿⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡙⠣⠀⠀⠀⠀⠠⠀⠈⠀⠘⠞⠇ ⣿⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⣿⡿⢫⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣀⣀⡀⢀⢀⣀⡀⡀⢀⣀⣀⢀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⡀⣀⣀⣀⡀⣀⡀⠀⡀⠀⠀⢀⠀⡀⠀⠀⢰⣧⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤ ⠁⢀⡉⠈⠋⠿⢿⣜⣟⣼⣿⣟⣧⣽⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⣩⣿⠿⠖⠰⢤⢀⠈⡉⠛⠛⠛⠉⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⠿⠿⠿⠿⠿⠿⠁⠀⠀⠀⠀⠀⠀⠘⠷⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠃⠀⠀⠀⠀⠀⠀⠨⠿⠿⠿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠠⠼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡇⣷⣼⢸⢰⠒⡖⢢⢢⠐⡂⡔⡄⡟⡗⠀⡌⠉⢸⡔⢢⠔⡂⠀⡆⡖⡔⠂⠖⡀⠀⠀⢸⠭⡂⢣⢾⠀⢸⠀⡲⡆⠆⠄⠀⡤⣭⡏⠀⡄⠍⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣯⣿⢽⣿⣿⣿ ⣿⣿⣇⣁⣈⣈⣈⣉⣁⣈⠁⠈⠁⠉⠁⠁⠉⠀⠈⠉⠈⠈⠁⠉⠁⠉⠁⠁⠈⠁⠉⠀⠀⠀⠈⠉⠀⣀⣈⣈⣈⣉⣉⡁⠘⠀⠀⠀⠀⣀⠉⠀⠀⠀⠀⠀⠉⠙⠛⠻⠿⣿⣿⣿⣧⣾⣗⣽⢺⢏⣿⢟⣿⣻⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠍⠃⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣺⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠤⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⣀⡀⠀⢀⠀⠀⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣭⣶⡦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢠⣶⣾⣿⣿⣿⣿⣿⣆⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠈ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⠛⣿⡟⠋⠉⢉⡛⠛⢿⣿⣿⡏⢉⠉⡉⠉⢹⣿⣿⠛⠁⠀⠀⠀⠈⢙⠻⡟⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠓⠝⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡀⣿⡇⡈⢰⣶⣶⣅⢀⠘⣿⡇⡄⠴⠿⠿⣿⡟⢀⢂⣴⣿⣿⣿⣶⡘⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⡖⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⠀ ⣿⣿⣿⣿⣿⣆⠀⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣸⣿⣿⣿⠀⠆⣿⠃⠷⢀⣀⣀⣴⠆⠆⢸⣿⣿⣿⣿⣿⡇⢀⠀⠸⣿⣷⣾⣿⣿⣿⣿⣿⣿⡟⣾⣷⠀⠀⠒⠄⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠂ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⠂⣾⣿⣿⠀⠆⣿⠃⡁⢹⡿⠿⢋⣰⢠⣿⠁⠃⠿⡿⢿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢈⡄⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢈⢟⠁⢲⡒⠓⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣄⣀⣿⣆⣂⣀⣀⣐⣮⣶⣿⣿⣄⣀⣀⣀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⡿⠻⣿⣿⠿⢿⣿⣿⣿⡟⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣯⡆ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠛⠋⠉⠁⠀⠙⣻⣿⡿⠟⢛⠉⠀⠀⠀⡾⠉⠉⠉⠛⢿⣯⠉⢹⡏⣩⣭⡆⠀⣶⣦⢸⡟⠁⣾⣷⣦⢸⡥ ⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣟⣿⣷⣷⢰⣿⣿⣿⡄⢸⣿⣿⠀⠾⠋⠀⠀⠀⠀⠀⠀⠀⠈⠙⠁⠘⠋⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠘⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⢄ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣾⣿⣿⠈⠛⠿⠿⠇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢾⣿⡇⠈⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣠⡆ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⢿⣿⣿⣿⣻⣿⣇⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠈⠙⣿⣶⠒⠀⠀⠀⠀⠀⠻⠿⢿⣿⡗ ⣿⣿⣿⣿⣟⣛⣿⣟⣿⣿⣛⣛⣻⣿⣝⣿⣿⣻⣿⣿⣶⣿⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠛⡀⠀⠀⠀⠠⠀⠈⠀⠘⠎⠧ ⣿⠿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣟⢿⣿⣿⡿⢫⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣀⣀⡀⢀⢀⣀⡀⡀⢀⣀⣀⢠⣀⣀⡀⣀⢀⣀⣀⣀⢀⣀⡀⡀⢀⣀⣀⡀⣀⡀⠀⠀⠀⠀⢀⠀⡀⠀⠀⢰⣷⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤ ⠁⢀⡉⠈⠊⠿⢿⣜⣟⣼⣿⣟⣧⣼⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⡟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⣩⣿⠿⠔⠰⢤⢀⠈⠉⠛⠛⠛⠉⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⢿⠿⠁⠀⠀⠀⠀⠀⠀⠘⠷⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠣⠀⠀⠀⠀⠀⠀⠨⠿⢿⠿⠿⣿⡇⠀⠀⠀⠀⠀⠀⠠⠼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡇⣷⣼⢸⢠⠂⡄⢠⢢⠀⡀⡔⡄⡏⡖⠀⡔⠉⢸⡔⢢⢔⡀⠀⡆⡔⣔⡀⢔⡀⠀⠀⢰⠭⡂⢃⢾⠀⢸⠀⣔⡄⠄⠀⠀⡤⣭⡏⠀⡄⠩⢩⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣯⣿⢽⣿⣿⣿ ⣿⣿⣇⣁⣈⣈⣈⣉⣁⣈⠉⠈⠁⠉⠁⠁⠉⠀⠈⠉⠈⠈⠁⠉⠁⠉⠁⠀⠉⠁⠉⠑⠀⠀⠈⠉⠀⣀⣈⣀⣈⣉⣉⡁⠘⠀⠁⠀⠀⣀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣾⣗⣽⢺⢏⣿⢟⣿⣻⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠍⠃⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠛⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣺⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠤⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⢀⣀⡀⠀⢀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣭⣶⡆⠀⠠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣠⣶⣿⣿⣿⣿⣿⣿⡆⡀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠘ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⠛⣿⡟⠋⠉⢉⡛⠛⢿⣿⣿⡏⢉⠉⠉⠉⢹⣿⣿⠛⠁⠀⠀⠀⠈⢙⠻⡏⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⡟⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡀⣿⡇⡈⢰⣶⣶⣅⢀⠘⣿⡇⡄⠼⠿⠿⣿⡟⢀⢂⣴⣿⣿⣿⣶⡘⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡠⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣸⣿⣿⣿⠀⠆⣿⠃⠷⢀⣀⣀⣴⠆⠆⢸⣿⣿⣿⣿⣿⡇⢀⠀⢸⣿⣷⣿⣿⣿⣿⣿⣿⣿⢿⣾⣷⠀⠄⠒⠤⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⠂⣾⣿⣿⠀⠆⣿⡃⡁⢹⡿⠿⢋⣰⢠⣿⠁⠃⠿⡿⢿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢈⣄⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠘⠟⠋⢲⡒⠓⠓⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣄⣀⣿⣇⣂⣀⣀⣐⣮⣶⣿⣿⣄⣀⣀⣀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⡿⠻⣿⡿⠿⠿⣿⣿⣿⡟⠀⠀⢮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡗⣉ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠛⠋⠉⠀⠀⠙⣻⣿⡿⠟⣛⠉⠀⠀⠀⡿⠉⠉⠉⠛⢿⣯⠉⢹⡏⣩⣭⡆⠀⣶⣦⢸⡟⠁⣾⣷⣦⢰⡁ ⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣟⣿⣷⡷⢰⣿⣿⣿⡄⢰⣿⣿⠀⠞⠋⠀⠀⠀⠀⠀⠀⠀⠈⠙⠁⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⡠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣾⣿⣿⠈⠻⠿⠿⠇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢺⣿⡇⠈⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⡆ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⢿⣿⣿⣿⣻⣿⡇⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠙⣿⣶⠒⠀⠀⠀⠀⠀⠿⠿⢿⣿⡗ ⣿⣿⣿⣿⣟⣛⣿⣟⣿⣿⣛⣛⣻⣿⣝⣿⣿⣻⣿⣿⣶⣿⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠓⡀⠀⠀⠀⠠⠀⠈⠀⠘⠞⠇ ⣿⠿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣟⢿⣿⣿⡿⢫⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣀⣀⡀⢀⢀⣀⡀⡀⢀⣀⣀⢀⣀⣀⡀⣀⢀⣀⣀⣀⢀⣀⡀⡀⢀⣀⣀⡀⣀⣀⠀⠀⠀⠀⢀⠀⡀⠀⠀⢀⣷⣀⣤⣤⣤⣤⣤⣤⣤⣴⣤ ⠁⢀⡉⠈⠋⠿⢿⣜⣟⣼⣿⣟⣧⣼⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⡟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⣩⣿⠿⠖⠰⢤⢀⠈⠉⠛⠛⠛⠉⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠘⠷⠿⠿⠿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠃⠀⠀⠀⠀⠀⠀⠨⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠠⠼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡇⣷⣼⢨⢠⠀⡤⢠⢠⢀⡀⡄⡄⡎⡆⠀⡔⠐⢸⡠⢄⢄⡄⠀⡄⡄⣄⡄⢄⠀⠀⠀⢰⠤⡂⢂⢾⠀⢸⠀⣄⡄⠄⠀⠄⡤⣤⡌⣀⡄⠩⢭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣯⣿⢽⣿⣿⣿ ⣿⣿⣇⣁⣈⣈⣈⣈⣁⡈⠈⠀⠁⠁⠁⠁⠁⠀⠈⠈⠈⠈⠁⠁⠁⠉⠁⠁⠉⠀⠁⠑⠀⠀⠈⠀⠁⣀⣈⣀⣈⣈⣉⡁⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣾⣗⣽⢺⢏⣿⢟⣿⣻⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠍⠃⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠛⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣺⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⢛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠦⢤⣀⡀⠀⠀⠀⠀⠈ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⢀⣀⡀⠀⣀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣭⣶⡦⠀⠠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣠⣶⣾⣿⣿⣿⣶⣿⡄⡀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⠛⣿⡟⠋⠉⢉⡛⠛⢿⣿⣿⡏⢉⠉⡉⠉⢹⣿⣿⠛⠁⠀⠀⠀⠈⢙⠻⡏⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠃⡟⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡀⣿⡇⡈⢰⣶⣶⣅⢀⠘⣿⡇⡄⠴⠿⠿⣿⡟⢀⢂⣴⣿⣿⣿⣶⡘⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡠⠀ ⣿⣿⣿⣿⣿⣆⠀⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣸⣿⣿⣿⠀⠆⣿⠃⠷⢀⣀⣀⣴⠆⠆⢸⣿⣿⣿⣿⣿⡇⢀⠀⢸⣿⣷⣿⣿⣿⣿⣽⣿⣿⢿⣾⣷⠀⠀⠂⠤⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⠂⣾⣿⣿⠀⠆⣿⠃⡁⢹⡿⠿⢋⣰⢠⣿⠁⠃⠿⡿⢿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢈⣄⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⠟⠉⢲⡒⠓⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣄⣀⣿⣆⣂⣀⣀⣐⣮⣶⣿⣿⣄⣀⣀⣀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⡿⠻⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⡆ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠛⠋⠉⠀⠀⠙⣻⣿⡿⠟⢛⠉⠀⠀⠀⡾⠁⠉⠉⠛⢻⣯⠉⢹⡏⣩⣭⡆⠀⣶⣦⢸⡟⠁⣾⣷⣦⢸⡀ ⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣟⣿⣷⣿⢰⣿⣿⣿⡄⢸⣿⣿⠀⠞⠋⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠐⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⣀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣾⣿⣿⠈⠛⠿⠿⠇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢺⣿⡇⠈⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⡆ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⢿⣿⣿⣿⣻⣿⡇⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠊⠈⣿⣶⠒⠀⠀⠀⠀⠀⠻⠿⢿⣿⡇ ⣿⣿⣿⣿⣟⣛⣿⣟⣿⣿⣛⣛⣻⣿⣝⣿⣿⣻⣿⣿⣶⣿⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠽⠛⡀⠀⠀⢀⠠⠀⠈⠀⠘⠞⠇ ⣿⠿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣟⢿⣿⣿⡿⢫⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣀⣀⡀⢀⢀⣀⡀⡀⢀⣀⣀⢀⣀⣀⡀⣀⢀⣀⣀⣀⢀⣀⡀⡀⢀⣀⣀⡀⣀⡀⠀⠀⠀⠀⢀⠀⡀⠀⠀⢀⣷⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤ ⠁⢀⡉⠈⠊⠿⢿⣜⣟⣼⣿⣟⣧⣼⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⡟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⣩⣿⠿⠔⠰⡤⢀⠈⠉⠛⠛⠛⠉⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠘⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡇⣦⣰⢰⢠⠤⡤⢤⢤⢠⠄⡤⡄⡦⡦⠀⡔⠒⢰⡠⢄⣤⠄⠀⡄⡤⣠⡄⣤⠄⠀⠀⢰⢒⠀⢆⣴⠀⢰⠀⣤⡄⡄⠀⠄⡠⣤⡦⡤⡄⠩⢍⡩⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣯⣿⢽⣿⣿⣿ ⣿⣿⡇⠃⠙⠘⠘⠂⠃⠈⠊⠐⠂⠑⠁⠃⠑⠀⠈⠒⠘⠑⠊⠐⠁⠒⠃⠁⠑⠂⠒⠁⠀⠀⠘⠒⠁⠈⠘⠈⠘⠒⠓⠃⠔⠀⠐⠁⠀⠂⠒⠀⠀⠀⠀⠀⠉⠙⠛⠻⠿⣿⣿⣿⣧⣾⣗⣽⢺⢏⣿⢟⣿⣻⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠍⠃⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣺⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⡓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⣀⣀⠀⠀⠀⠀⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣭⣶⣆⠀⠠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢀⣴⣾⣿⣿⣿⣿⣿⣆⢀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠈ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⠛⣿⡟⠋⠉⢉⡛⠛⢿⣿⣿⡏⢉⠉⡉⠉⢹⣿⣿⠛⠁⠀⠀⠀⠈⢙⠻⡏⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠓⠙⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢄⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡀⣿⡇⡈⢰⣶⣶⣅⢀⠘⣿⡇⡄⠴⠿⠿⣿⡟⢀⢂⣴⣿⣿⣿⣶⡘⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡀⡕⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠤⠀ ⣿⣿⣿⣿⣿⣆⠀⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣸⣿⣿⣿⠀⠆⣿⠃⠷⢀⣀⣀⣴⠆⠆⢸⣿⣿⣿⣿⣿⡇⢀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠀⠀⠂⠤⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠂ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⠂⣾⣿⣿⠀⠆⣿⠃⡁⢹⡿⠿⢋⣰⢠⣿⠁⠃⠿⡿⢿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢈⡄⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠉⠻⠃⢲⡒⠓⠓⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡁ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣄⣀⣿⣆⣂⣀⣀⣐⣮⣶⣿⣿⣄⣀⣀⣀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⡿⠛⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⡁ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠛⠋⠉⠁⠀⠈⢻⣿⡿⠟⣛⠉⠀⠀⠀⠻⠁⠉⠉⠛⢿⣯⠉⢹⡏⣩⣭⡆⠀⣶⣦⢸⡟⠁⣾⣷⣦⢨⠄ ⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣟⣿⣿⣷⢰⣿⣿⣿⡄⢸⣿⣿⠀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠘⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⡀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣾⣿⣟⠈⠛⠿⠿⠇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠿⠛⠛⠛⠛⣿⣶⡄⠈⠠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢺⣿⡇⠘⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣠⡦ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⢿⣿⣿⣿⣻⣿⡇⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣶⠒⠀⠀⠀⠀⠀⠻⠿⢿⣿⡇ ⣿⣿⣿⣿⣏⣛⣿⣟⣿⣿⣛⣛⣻⣿⣝⣿⣿⣻⣿⣿⣶⣿⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠛⡀⠀⠀⠀⠠⠀⠈⠀⠘⠞⠇ ⣿⠿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣟⢿⣿⣿⡿⢫⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣀⣀⡀⢀⢀⣀⡀⡀⢀⣀⣀⢀⣀⣀⡀⣀⢀⣀⣀⣀⢀⣀⡀⡀⣀⣀⣀⡀⣀⣀⠀⠀⠀⠀⢀⠀⡀⠀⠀⢀⣷⣀⣤⣤⣤⣤⣤⣤⣤⣶⣤ ⠁⢀⡉⠈⠊⠿⢿⣜⣟⣼⣿⣟⣧⣼⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⡟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⣩⣿⠿⠔⠰⢤⢀⠈⠉⠛⠛⠛⠉⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠘⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣣⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡇⣦⣰⢰⢠⠤⡤⢤⢄⢠⠄⡠⡀⡶⡦⠀⡔⠒⢰⡠⢄⡠⠄⠀⡄⡤⣠⡄⡤⠀⠀⠀⢰⣒⠄⢆⣴⠀⢰⠀⢤⡄⡄⠀⠠⡠⣤⡦⡠⡄⠩⠉⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣯⣿⢽⣿⣿⣿ ⣿⣿⡇⠃⠙⠘⠘⠒⠃⠘⠊⠐⠂⠑⠃⠃⠓⠀⠐⠒⠘⠑⠊⠒⠃⠒⠃⠀⠑⠂⠒⠁⠀⠀⠘⠒⠁⠈⠘⠀⠘⠒⠓⠃⠴⠀⠒⠁⠂⠂⠒⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣾⣗⣽⢺⢏⣿⢟⣿⣻⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠍⠃⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠛⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣺⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⣀⣀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣭⣶⡦⠀⠠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢠⣶⣶⣿⣿⣿⣿⣿⣆⡀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⠈ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⠛⣿⡟⠋⠉⢉⡛⠛⢿⣿⣿⡏⢉⠉⡉⠉⢹⣿⣿⠛⠉⠀⠀⠀⠈⢙⠻⠏⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⡟⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢤⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡀⣿⡇⡈⢰⣶⣶⣅⢀⠘⣿⡇⡄⠴⠿⠿⣿⡟⢀⢂⣴⣿⣿⣿⣷⡘⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⡅⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠠⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣸⣿⣿⣿⠀⠆⣿⠃⠷⢀⣀⣀⣴⠆⠆⢸⣿⣿⣿⣿⣿⡇⢀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⢀⠀⠒⠄⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢂⣾⣿⣿⠀⠆⣿⡃⡁⢹⡿⠿⢋⣰⢠⣿⠁⠃⠿⡿⢿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢈⡄⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠙⢿⠁⢰⡒⠓⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡁ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣄⣀⣿⣇⣢⣀⣀⣐⣮⣶⣿⣿⣄⣀⣀⣀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⡿⠛⣿⣿⡿⣿⣿⣿⣿⡿⠀⠀⢪⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣷⣃ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠛⠉⠉⠀⠀⠘⢻⣿⡿⠟⣛⠍⠀⠀⠀⠫⠉⠉⠉⠛⢻⣯⠉⢹⡏⣩⣭⡆⠠⣶⣦⢸⡟⠁⣾⣷⣦⢸⡕ ⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣟⣿⣿⣿⢰⣿⣿⣿⡄⢰⣿⣿⠀⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⣀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣾⣿⣿⠈⠛⠿⠿⠇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠿⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢺⣿⡇⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⡆ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⢿⣿⣿⣿⣻⣿⡇⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⠋⣿⣶⠒⠀⠀⠀⠀⠀⠻⠿⢿⣿⡇ ⣿⣿⣿⣿⣟⣛⣿⣟⣿⣿⣛⣻⣻⣿⣝⣿⣿⣻⣿⣿⣶⣿⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⣸⠛⡀⠀⠀⠀⠠⠀⠈⠀⠘⠎⠇ ⣿⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⣿⡿⢫⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣀⣀⡀⢀⢀⣀⡀⡀⢀⣀⣀⢀⣀⣀⡀⣀⢀⣀⣀⣀⢀⣀⣀⡀⢀⣀⣀⡀⣀⣀⠀⡀⠀⠀⢀⠀⡀⠀⠀⢀⣷⣀⣤⣤⣤⣤⣤⣤⣤⣴⣤ ⠁⢀⡉⠈⠋⠿⢿⣜⣟⣼⣿⣟⣧⣼⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⣩⣿⠿⠖⠰⢤⢀⠈⠉⠛⠛⠛⠉⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠘⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣣⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡇⣦⣰⢰⢀⠄⡤⢀⢄⠠⠄⡠⡀⡶⡦⠀⡰⠒⢰⡠⢄⡠⠄⠀⡄⡠⡠⠄⡠⠀⠀⠀⢰⣒⠄⢆⣴⠀⢰⠀⡠⡄⡀⡀⠀⡠⣤⡔⠠⡄⠩⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣯⣿⢽⣿⣿⣿ ⣿⣿⡇⠋⠙⠘⠘⠒⠃⠘⠚⠐⠃⠓⠃⠃⠓⠀⠑⠒⠘⠑⠊⠒⠃⠒⠃⠁⠑⠂⠚⠡⠀⠀⠘⠒⠁⠈⠘⠀⠘⠒⠛⠃⠰⠀⠒⠁⠂⠂⠒⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣾⣗⣽⢺⢏⣿⢟⣿⣻⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠍⠃⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣺⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⠻ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠧⠀⠀⠀⣀⡀⠀⠀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣭⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢀⣶⣶⣿⣿⣿⣿⣿⡆⡀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⠛⣿⡟⠋⠉⢉⡛⠛⢿⣿⣿⡏⢉⠉⡉⠉⢹⣿⣿⠛⠉⠀⠀⠀⠈⢙⠻⡏⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⡟⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢅⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡀⣿⡇⡌⢰⣶⣶⣅⢀⠘⣿⡇⡄⠴⠿⠿⣿⡟⢀⢂⣴⣿⣿⣿⣷⡘⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣢⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣸⣿⣿⣿⠀⠆⣿⠃⠷⢀⣀⣀⣴⠆⠆⢸⣿⣿⣿⣿⣿⡇⢀⠀⠀⣿⣿⣽⣿⣿⣿⣿⣿⣿⡟⣿⣷⠀⠄⠂⠄⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢂⣾⣿⣿⠀⠆⣿⡃⡁⢹⡿⠿⢋⣰⢠⣿⠁⠃⠿⡿⢿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢈⡄⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠙⠻⢉⢰⡒⠓⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣄⣀⣿⣇⣢⣀⣀⣐⣮⣶⣿⣿⣄⣀⣀⣀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⡿⠻⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣟⡁ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠛⠋⠉⠁⠀⠘⢻⣿⡿⠟⣛⠍⠀⠀⠀⠿⠉⠉⠉⠛⢻⣯⠉⢹⡏⣩⣭⡆⠠⣶⣦⢸⡟⠁⣾⣷⣦⢰⣥ ⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣟⣿⣿⣷⢰⣿⣿⣿⡄⢸⣿⣿⠀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⢄ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠈⠛⠿⠿⠇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠈ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢾⣿⡇⠈⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⡆ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣝⣿⢿⣿⣿⣿⣻⣿⡇⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠊⠚⣿⣶⠒⠀⠀⠀⠀⠀⠿⠿⢿⣿⡗ ⣿⣿⣿⣿⣟⣛⣿⣟⣿⣿⣛⣻⣿⣿⣝⣿⣿⣻⣿⣿⣶⣿⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠓⡀⠀⠀⠀⠠⠀⠈⠀⠘⠞⠗ ⣿⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⣿⡿⢫⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣀⣀⡀⢀⢀⣀⡀⡀⢀⣀⣀⢀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⡀⣀⣀⣀⡀⣀⣀⠀⡀⠀⠀⢀⠀⡀⠀⠀⢀⣷⣀⣤⣤⣤⣤⣤⣤⣤⣴⣤ ⠁⢀⡉⠈⠋⠿⢿⣜⣟⣼⣿⣟⣧⣽⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⡟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⣩⣿⠿⠖⠰⢤⢀⠈⡉⠛⠛⠛⠉⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠘⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡏⣯⣹⢙⢉⠉⣉⢀⢀⠀⠀⡀⡀⡔⡄⠀⡠⠂⢰⢀⣉⡉⠈⠉⡀⡀⡀⡀⡀⠀⠀⠀⢠⣒⠄⠆⣽⠉⢹⠉⡩⡁⡀⠀⠀⡠⣤⡄⡀⡄⢩⢩⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣯⣿⢽⣿⣿⣿ ⣿⣿⡇⠋⠙⠘⠘⠒⠃⠘⠚⠘⠃⠃⠃⠃⠃⠀⠑⠒⠘⠑⠊⠚⠃⠒⠃⠁⠛⠃⠚⠢⠀⠀⠘⠐⠃⠈⠙⠀⠘⠒⠛⠃⡰⠀⠒⠃⠂⠂⠒⠂⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣾⣗⣽⢺⢏⣿⢟⣿⣻⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠂⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣾⣿⣮⣛⣊⡟⣼⣺⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠤⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢀⣀⡀⠀⢀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣭⣶⡆⡀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢠⣴⣶⣿⣿⣿⣶⣿⡆⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠈ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⠋⢻⡟⠛⣿⡟⠋⠉⢉⡛⠛⢿⣿⣿⡏⢉⠉⡉⠉⢹⣿⣿⠛⠁⠀⠀⠀⠈⢙⠻⡏⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⡛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢄⠀ ⣿⣿⣿⣿⣧⢀⠘⣿⣿⡟⢀⢀⣾⠇⠀⣿⡇⡈⢰⣶⣶⣅⢂⠘⣿⡇⡄⠴⠿⠿⣿⡟⢀⢂⣴⣿⣿⣿⣶⡘⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣸⣿⣿⣿⠀⠆⣿⠃⠷⢀⣀⣀⣰⠆⠆⢸⣿⣿⣿⣿⣿⡇⢀⠀⢸⣿⣯⣽⣿⣿⣿⣿⣿⣿⡟⣿⣷⠀⠀⠂⠤⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⠂⣾⣿⣿⠀⠆⣿⠃⡁⢹⡿⠿⢋⣰⢠⣿⠁⠃⠿⡿⢿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢈⡄⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢙⠿⠡⢲⡒⠓⠓⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣄⣀⣿⣇⣢⣀⣀⣐⣮⣶⣿⣿⣄⣀⣀⣀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⡿⠻⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⢮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡟⡅ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠛⠋⠉⠁⠀⠙⣻⣿⡿⠟⢛⠉⠀⠀⠀⡯⠁⠉⠉⠛⢻⣯⠉⢹⡏⣩⣭⡆⠀⣶⣦⢸⡟⠁⣾⣷⣦⢰⡤ ⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣯⣿⣿⣯⣿⣿⣿⣷⢰⣿⣿⣿⡄⢰⣿⣿⠀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠘⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⢀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣾⣿⣿⣿⣿⣾⣿⣿⠈⠛⠿⠿⠇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢾⣿⡇⠈⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⡆ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⢿⣿⣿⣿⣿⣻⣿⡇⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠈⠙⣿⣶⠒⠀⠀⠀⠀⠀⠿⠿⢿⣿⡇ ⣿⣿⣿⣿⣟⣛⣿⣟⣿⣿⣟⣛⣿⣿⣝⣿⣿⣻⣿⣿⣾⣿⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⠓⡀⠀⠀⠀⠠⠀⠈⠀⠘⠎⠗ ⣿⠿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣿⢿⣿⣿⡟⢫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⢀⣀⣀⢀⣀⣀⡀⣀⢀⣀⣀⣀⢀⣀⡀⡀⢀⣀⡀⡀⣀⡀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢀⣷⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤ ⠁⢀⡉⠈⠋⠿⢿⣜⣟⣼⣿⣟⣷⣽⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⣹⣿⡿⠶⠰⣄⢀⠈⠉⠛⠛⠛⠉⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠘⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡏⣍⢩⢩⢉⣉⣉⣀⣀⢀⡀⣀⡀⣄⣄⠈⡩⠭⢩⢉⡉⣉⡉⠉⡉⣉⢉⡁⣁⡀⠀⠀⢠⠤⠀⠍⣩⠉⢩⠉⣉⡁⡀⠀⣀⢠⣤⡄⣈⡍⠩⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣯⣿⢽⣿⣿⣿ ⣿⣿⡇⠏⠛⠸⠘⠄⠇⠘⠜⠨⠀⠣⠃⠇⠣⠀⠑⠄⠸⠣⠜⠩⠂⠄⠇⠁⠫⠁⠩⠂⠀⠀⠘⠤⠂⠘⠹⠀⠸⠤⠫⠇⡱⠀⠢⠃⠂⠆⠥⠂⠀⠀⠀⠀⠉⠙⠛⠻⢿⣿⣿⣿⣧⣾⣗⣽⢺⢏⣿⢟⣿⣻⢿⣿⣿⣿ ⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣶⣶⣶⣶⣶⡆⠀⠀⠀⠀⠀⠂⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣾⣿⣮⣛⣊⡟⣼⣺⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⣀⠀⠀⢀⠀⠀⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣭⣶⡆⢀⠠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⣴⣾⣿⣿⣿⣿⣿⣆⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⠋⢻⡟⠛⣿⡟⠋⠉⢉⡛⠛⢿⣿⣿⠏⢉⠉⡉⠉⢹⣿⣿⠛⠁⠀⠀⠀⠈⢙⠻⠃⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠜⢸⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢄⠀ ⣿⣿⣿⣿⣧⢀⠘⣿⣿⡟⢀⢀⣾⠇⠀⣿⡇⡈⢰⣶⣶⣅⢂⠘⣿⡇⡄⠴⠿⠿⣿⡟⢀⢂⣴⣿⣿⣿⣶⡘⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣀⣸⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡠⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣸⣿⣿⣿⠀⠆⣿⠃⠷⢀⣀⣀⣴⠆⠆⢸⣿⣿⣿⣿⣿⡇⠀⠀⣿⣷⣾⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⢀⠀⠂⠤⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⠂⣾⣿⣿⠀⠆⣿⠃⡁⢹⡿⠿⢋⣰⢠⣿⠁⠃⠿⡿⢿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢀⡄⣻⣿⣿⣿⣿⣿⣿⣿⣿⡇⠁⠙⠿⠁⢲⡒⠓⠓⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⠀ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣄⣀⣿⣇⣢⣀⣀⣐⣮⣶⣿⣿⣄⣀⣀⣀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⣮⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣄ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠟⠋⠉⠁⠈⢿⣻⣿⡿⠟⢛⠍⠀⠀⠠⠻⠁⠉⠉⠛⢻⣯⠉⢹⡏⣩⣥⡆⠀⣶⣦⢸⡟⠁⣾⣷⣦⢸⡥ ⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣯⣿⣿⣯⣿⣿⣿⣷⢰⣿⣿⣿⡆⢸⣿⣿⠀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠘⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⣀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣾⣿⣿⣿⣿⣾⣿⣟⠈⠻⠿⠿⠇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢺⣿⡇⠐⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⡆ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣻⣿⡇⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠊⠘⣿⣶⠒⠀⠀⠀⠀⠀⠻⠿⢿⣿⡇ ⣿⣿⣿⣿⣟⣛⣿⣟⣿⣿⣛⣛⣿⣿⣝⣿⣿⣻⣿⣿⣾⣿⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠛⡀⠀⠀⠀⠠⢀⠈⠀⠘⠞⠇ ⣿⠿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣟⢿⣿⣿⡟⢫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⢀⣀⣀⢀⣀⣀⡀⣀⢀⣀⣀⣀⢀⣀⡀⡀⢀⣀⡀⡀⣀⣀⠀⡀⠀⠀⢀⠀⠀⠀⠀⢀⣷⣀⣤⣤⣤⣤⣤⣤⣤⣤⣠ ⠁⢀⡉⠈⠋⠿⢿⣜⣟⣽⣿⣟⣧⣽⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⣹⣿⠿⠖⠰⠄⢄⠈⠉⠛⠛⠛⠉⠃⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠐⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡏⣍⢩⢩⢉⣉⣉⣁⡀⢀⡀⢀⡀⣤⣄⠈⡩⠭⢩⢉⡉⣉⡉⠉⡉⣉⢉⡁⣁⠀⠀⠀⢠⠤⠀⡍⣩⠉⢩⠉⣉⡁⡀⠀⢀⢠⣤⣤⣈⡍⠩⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣯⣿⢽⣿⣿⣿ ⣿⣿⡇⠏⠻⠸⠸⠤⠇⠸⠜⠨⠄⠣⠃⠇⠣⠀⠡⠤⠸⠣⠜⠥⠆⠤⠇⠁⠫⠅⠥⠂⠀⠀⠸⠭⠂⠘⠹⠈⠸⠤⠯⠇⡡⠀⠤⠃⠆⠆⠤⠂⠀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣿⣧⣾⣗⣽⢺⢏⣿⢟⣿⣻⢿⣿⣿⣿ ⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣶⣶⣶⣶⣶⡆⠀⠀⠀⠀⠀⠂⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣾⣿⣮⣛⣊⡟⣼⣺⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⠓⠚⣛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠀⣀⠀⠀⢀⠀⠀⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣭⣶⡆⠀⠠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢁⣤⣶⣾⣿⣿⣷⣿⣇⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠈ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⠋⢻⡟⠛⣿⡟⠋⠉⢉⡛⠛⢿⣿⣿⡏⢉⠉⡉⠉⢹⣿⣿⠛⠁⠀⠀⠀⠈⢙⠻⠁⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⡜⢸⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⠀ ⣿⣿⣿⣿⣧⢀⠘⣿⣿⡟⢀⢀⣾⠇⠀⣿⡇⡈⢰⣶⣶⣅⢂⠘⣿⡇⡄⠴⠿⠿⣿⡟⢀⢂⣴⣿⣿⣿⣶⡘⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣀⣸⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣸⣿⣿⣿⠀⠆⣿⠃⠷⢀⣀⣀⣴⠆⠆⢸⣿⣿⣿⣿⣿⡇⠀⠀⣿⣧⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⡯⠀⠄⠂⡄⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⠂⣾⣿⣿⠀⠆⣿⠃⡁⢹⡿⠿⢋⣰⢠⣿⠁⠃⠿⡿⢿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢀⣄⣻⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠙⠿⠁⢲⡒⠓⠓⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢀ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣄⣀⣿⣇⣢⣀⣀⣐⣮⣶⣿⣿⣄⣀⣀⣀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⡿⣿⣿⢿⠿⣿⣿⣿⣿⠇⠀⠀⢮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡿⡁ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠛⠋⠉⠁⠈⢛⣻⣿⣿⠟⢛⠍⠀⠀⠐⠻⠉⠉⠉⠛⢿⣯⠉⢹⡏⣩⣭⡆⠀⣶⣦⢸⡟⠁⣾⣷⣦⢰⡥ ⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣯⣿⣿⣯⣿⣿⣿⣷⢰⣿⣿⣿⡄⢸⣿⣿⠀⠾⠋⠀⠀⠀⠀⠀⠀⠀⠙⠛⠁⠸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠘⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⢀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣾⣿⣿⣿⣿⣾⣿⡿⠈⠛⠿⠿⠇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⢺⣿⡇⠈⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⡆ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣻⣿⡇⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠌⠘⣿⣶⠒⠀⠀⠀⠀⠀⠻⠿⢿⣿⡇ ⣿⣿⣿⣿⣏⣛⣿⣟⣿⣿⣛⣻⣿⣿⣝⣿⣿⣻⣿⣿⣾⣿⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⠛⡀⠀⠀⠀⠠⠀⠈⠀⠘⠎⠇ ⣿⠿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣿⢿⣿⣿⡟⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⢠⣀⣀⡀⣀⢀⣀⣀⣀⢀⣀⡀⡀⢀⣀⡀⡀⣀⡀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢀⣷⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤ ⠁⢀⡉⠈⠋⠿⢿⣜⣟⣼⣿⣟⣷⣼⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⣩⣿⡟⠖⠰⠤⢀⠈⠉⠛⠛⠛⠍⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠘⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢠⣼⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡏⣍⢩⢩⢉⣉⣉⡀⡀⢀⡀⢀⠀⣤⣄⠈⠩⠭⢩⢉⡉⢉⡉⠉⡉⣉⢉⡁⣁⠀⠀⠀⢠⠤⡀⡍⣩⠉⢩⠉⣉⡁⡀⠀⠀⢠⣤⡤⣈⡍⠭⢩⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣯⣿⢽⣿⣿⣿ ⣿⣿⡇⠟⠻⠸⠸⠤⠇⠸⠼⠠⠆⠧⠇⠇⠧⠀⠡⠤⠸⠣⠜⠥⠆⠤⠇⠁⠣⠄⠥⢂⠀⠀⠸⠭⠂⠘⠹⠀⠸⠤⠯⠇⢡⠁⠤⠃⠆⠆⠴⠂⠀⠀⠀⠀⠉⠙⠛⠻⢿⣿⣿⣿⣧⣾⣗⣽⢺⢏⣿⢟⣿⣻⢿⣿⣿⣿ ⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣶⣶⣶⣶⣶⡆⠀⠀⠀⠀⠀⠂⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣾⣿⣮⣛⣊⡟⣼⣺⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⢠⡀⠀⢀⡀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣭⣶⡦⠀⢀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢁⣴⣾⣿⣿⣿⣿⣿⣧⢀⢀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⠋⢻⡟⠛⣿⡟⠋⠉⢉⡛⠛⢿⣿⣿⡏⢉⠉⡉⠉⢹⣿⣿⠛⠁⠀⠀⠀⠈⢙⠻⢁⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⡟⢸⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢤⠀ ⣿⣿⣿⣿⣧⢀⠘⣿⣿⡟⢀⢀⣾⠇⠀⣿⡇⡈⢰⣶⣶⣅⢂⠘⣿⡇⡄⠼⠿⠿⣿⡟⢀⢂⣴⣿⣿⣿⣶⡘⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣀⢨⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣸⣿⣿⣿⠀⠆⣿⠃⠷⢀⣀⣀⣰⠆⠆⢸⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣾⣿⣿⣿⣿⣿⣿⡟⣿⣿⡧⠀⠀⠂⠄⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡂ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⠂⣾⣿⣿⠀⠆⣿⠃⡁⢹⡿⠿⢋⣰⢠⣿⠁⠃⠿⡿⢿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢀⡄⢹⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠙⠟⠁⢰⡲⠛⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣄⣀⣿⣇⣢⣀⣀⣐⣮⣶⣿⣿⣄⣀⣀⣀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⡿⢿⣿⠿⢿⣿⣿⣿⣿⠇⠀⠀⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⡂ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠛⠉⠉⠀⠈⢛⣻⣿⣿⠟⢛⠍⠀⠀⠐⠻⠉⠉⠉⠛⢻⣯⠉⢹⡏⣩⣭⡆⠀⣶⣦⢸⡟⠁⣾⣷⣦⢰⡅ ⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣯⣿⣿⣯⣿⣿⣿⣷⢰⣿⣿⣿⡆⢰⣿⣿⠀⠞⠉⠀⠀⠀⠀⠀⠀⠀⠙⠛⠁⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠘⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⢄ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣾⣿⣿⣿⣿⣾⣿⣿⠈⠛⠿⠿⠇⢸⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢺⣿⡇⠈⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⡆ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣻⣿⡇⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠀⠘⢿⣶⠒⠀⠀⠀⠀⠀⠻⠿⢿⣿⡇ ⣿⣿⣿⣿⣟⣛⣿⣟⣿⣿⣛⣻⣿⣿⣝⣿⣿⣻⣿⣿⣾⣿⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠛⡀⠀⠀⠀⠠⠀⠈⠀⠘⠎⠏ ⣿⠿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣟⢿⣿⣿⡟⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⢀⣀⣀⢀⣀⣀⡀⣀⢀⣀⣀⣀⢀⣀⡀⣀⢀⣀⡀⡀⣀⡀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢀⣷⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤ ⠁⢀⡉⠈⠋⠿⢿⣜⣟⣼⣿⣟⣷⣽⣿⠃⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⣩⣿⡟⠖⠰⠤⢀⠈⠉⠙⠛⠛⠉⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠘⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶ ⣿⣿⡟⣟⢻⢻⠛⡉⡉⠀⡀⠀⠀⢀⠀⡤⣀⠈⢉⠭⢩⠉⡉⢉⠉⠉⡉⢉⢉⠁⢁⠀⠀⠀⢀⠤⡀⡍⣩⠛⢹⠛⢛⠃⠀⠀⠀⢠⣤⡤⠈⡍⠭⢭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣯⣿⢽⣿⣿⣿ ⣿⣿⡇⠟⠻⠸⠸⠤⠇⠸⠼⠠⠆⠧⠇⠇⠧⠀⠣⠤⠸⠣⠜⠵⠆⠤⠇⠁⠳⠆⠵⢄⠀⠀⠸⠭⠂⠘⠻⠀⠸⠤⠷⠇⢡⠃⠤⠆⠆⠆⠴⠀⠀⠀⠀⠀⠉⠙⠛⠻⢿⣿⣿⣿⣧⣾⣗⣽⢺⢏⣿⢟⣿⣻⢿⣿⣿⣿ ⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣶⣶⣶⣶⣶⡆⠀⠀⠀⠀⠀⠂⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣺⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⠓⠚⠿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠧⠀⠀⢀⣀⠀⠀⡀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣭⣶⡦⠀⠠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣠⣴⣶⣿⣿⣷⣾⣿⡀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⡀⠈ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⠛⣿⡟⠋⠉⢉⡛⠛⢿⣿⣿⡏⢉⠉⡉⠉⢹⣿⣿⠛⠁⠀⠀⠀⠈⢙⠻⡏⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠃⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢅⠀ ⣿⣿⣿⣿⣧⢀⠘⣿⣿⡟⢀⢀⣾⠇⡀⣿⡇⡈⢰⣶⣶⣅⢂⠘⣿⡇⡄⠴⠿⠿⣿⡟⢀⢂⣴⣿⣿⣿⣶⡘⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⢀⡃⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠠⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣸⣿⣿⣿⠀⠆⣿⠃⠷⢀⣀⣀⣴⠆⠆⢸⣿⣿⣿⣿⣿⡇⢀⠀⢸⣿⣷⣿⣿⣿⣿⣿⣿⣿⢻⣿⣷⠀⠀⠒⠤⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⠂⣾⣿⣿⠀⠆⣿⠃⡁⢹⣿⠿⢋⣰⢠⣿⠁⠃⠿⡿⢿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢈⡄⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⠿⠉⢰⡒⠓⠓⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣄⣀⣿⣇⣢⣀⣀⣐⣮⣶⣿⣿⣄⣀⣀⣀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⡄ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠟⠋⠉⠁⠀⠙⣻⣿⣿⠟⢛⠉⠀⠀⠀⡫⠉⠉⠉⠛⢻⣯⠉⣹⡏⣩⣭⡆⠀⣶⣦⢸⡟⠁⣾⣷⣦⢰⣡ ⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣷⢰⣿⣿⣿⡄⢰⣿⣿⠀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠈⠙⠁⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⣠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣾⣿⣿⣿⣿⣾⣿⣯⠈⠛⠿⠿⠇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠄ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢾⣿⡇⠈⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣠⡆ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣻⣿⡇⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠊⠘⣿⣶⠒⠀⠀⠀⠀⠀⢿⠿⢿⣿⡷ ⣿⣿⣿⣿⣏⣛⣿⣟⣿⣿⣛⣿⣿⣿⣝⣿⣿⣻⣿⣿⣿⣿⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢋⠛⡀⠀⠀⠀⠠⠀⠈⠀⠘⠞⠏ ⣿⠿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣿⢿⣿⣿⡿⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⢀⣀⣀⢀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⡀⣀⣀⣀⡀⣀⣀⠀⡀⠀⠀⢀⠀⡀⠀⠀⢠⣷⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤ ⠁⢈⡉⠈⠋⠿⢿⣜⣟⣽⣿⣟⣷⣽⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⣹⣿⡿⠖⠰⣤⣄⠊⠉⠛⠛⠛⠍⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡟⡛⢛⣛⠛⠛⠛⠁⠀⠀⠀⠀⠀⡀⡀⠈⢙⣛⢛⠛⠛⠛⠛⠛⠛⠛⠛⠃⠁⠀⠀⠀⢀⢀⠀⡙⢛⠛⢛⠛⠛⠃⠀⠀⠀⠠⣠⡄⠈⡍⠩⢍⡩⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣯⣿⢽⣿⣿⣿ ⣿⣿⡇⡟⢾⢸⠸⡉⡏⠸⡹⠘⠃⢏⠇⡏⢏⠀⠣⡀⠸⠊⠱⢛⠅⠄⠇⠉⠟⠃⢛⠅⠀⠀⠸⣀⠆⠰⢻⠀⢸⣀⢟⡇⢣⠂⢅⠆⠆⡆⠓⠄⠀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣿⣧⣾⣗⣽⢺⢏⣿⢟⣿⣻⢿⣿⣿⣿ ⣿⣿⣷⣴⣶⣶⣶⣴⣶⣦⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣴⣶⣶⣶⡆⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣾⣿⣮⣛⣊⡟⣼⣺⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢀⣀⠀⠀⡀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣭⣶⡆⠀⠠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣠⣶⣿⣿⣿⣿⣿⣿⡀⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⠋⢻⡟⠛⣿⡟⠋⠉⢉⡛⠛⢿⣿⣿⡏⢉⠉⡉⠉⢹⣿⣿⠛⠁⠀⠀⠀⠈⢙⠻⠏⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⠃⡟⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢄⠀ ⣿⣿⣿⣿⣧⢀⠘⣿⣿⡟⢀⢀⣾⠇⠀⣿⡇⡈⢰⣶⣶⣅⢂⠘⣿⡇⡄⠼⠿⠿⣿⡟⢀⢂⣴⣿⣿⣿⣶⡘⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⢀⡃⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡠⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣸⣿⣿⣿⠀⠆⣿⠃⠷⢀⣀⣀⣰⠆⠆⢸⣿⣿⣿⣿⣿⡇⢀⠀⢸⣿⣷⣿⣿⣿⣿⣿⣿⣿⢻⣿⣷⠀⠀⠂⡤⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⠂⣾⣿⣿⠀⠆⣿⠃⡁⢹⡿⠿⢋⣰⢠⣿⠁⠃⠿⡿⢿⣿⣷⡀⡈⠻⠿⣿⡿⠛⠀⢈⣄⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⢿⠁⢲⡺⠛⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣄⣀⣿⣇⣢⣀⣀⣐⣮⣶⣿⣿⣄⣀⣀⣀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡟⢌ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠛⠋⠉⠁⠀⠛⣻⣿⡿⠟⢛⠉⠀⠀⠀⡾⠁⠉⠉⠛⢻⣯⠉⢹⡏⣩⣭⡆⠀⣶⣦⢸⡟⠁⣾⣷⣦⢸⡁ ⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣯⣿⣿⣯⣿⣿⣿⣷⢰⣿⣿⣿⡄⢸⣿⣿⠀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⣀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣾⣿⣿⣿⣿⣾⣿⣿⠈⠛⠿⠿⠇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠄ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢾⣿⡇⠈⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣠⡆ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⢿⣿⣿⣿⣿⣻⣿⡇⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⢿⣶⠒⠀⠀⠀⠀⠀⠻⠿⢿⣿⡇ ⣿⣿⣿⣿⣏⣛⣿⣟⣿⣿⣛⣻⣿⣿⣝⣿⣿⣻⣿⣿⣾⣿⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠛⡀⠀⠀⠀⠠⠀⠈⠀⠘⠞⠧ ⣿⠿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣿⢿⣿⣿⡿⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⢀⣀⣀⢀⣀⣀⡀⣀⢀⣀⣀⣀⢀⣀⡀⡀⢀⣀⡀⡀⣀⣀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢀⣷⣀⣤⣤⣤⣤⣤⣤⣤⣴⣦ ⠁⢀⡉⠈⠋⠿⢿⣜⣟⣼⣿⣟⣷⣽⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⣹⣿⡟⠖⠰⡄⢄⠈⠉⠛⠛⠛⠉⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡟⡛⢛⢛⠛⠛⠛⠁⠀⠀⠀⠀⠀⡀⡀⠈⢙⣛⢛⠛⠛⠛⠛⠛⠛⠛⠛⠃⠁⠀⠀⠀⢀⣀⠀⡙⢛⠛⢛⠛⠛⠃⠀⠀⠀⠠⣠⡄⠈⡍⠩⠉⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣯⣿⢽⣿⣿⣿ ⣿⣿⡇⡟⢾⢸⢸⣉⡏⠹⡱⢘⡁⢏⠇⡏⢏⠀⠃⣀⢸⢎⡱⢛⠅⣀⡇⠋⢞⡃⣋⠅⠀⠀⢸⣒⠄⠱⢻⠈⢸⣀⣟⡇⢣⠂⣌⠆⠇⡇⣛⠄⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣾⣗⣽⢺⢏⣿⢟⣿⣻⢿⣿⣿⣿ ⣿⣿⣧⣤⣤⣤⣤⣤⣤⣤⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣤⣤⣤⡄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣾⣿⣮⣛⣊⡟⣼⣺⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⡓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⢀⣀⡀⠀⣀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣭⣶⡆⢀⠠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣠⣶⣾⣿⣿⣿⣷⣿⡄⡀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⠋⢻⡟⠛⣿⡟⠋⠉⢉⡛⠛⢿⣿⣿⡏⢉⠉⡉⠉⢹⣿⣿⠛⠁⠀⠀⠀⠈⢙⠻⡟⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠃⡟⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢤⠀ ⣿⣿⣿⣿⣧⢀⠘⣿⣿⡟⢀⢀⣾⠇⠀⣿⡇⡈⢰⣶⣶⣅⢂⠘⣿⡇⡄⠴⠿⠿⣿⡟⢀⢂⣴⣿⣿⣿⣶⡘⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠢⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣸⣿⣿⣿⠀⠆⣿⠃⠷⢀⣀⣀⣴⠆⠆⢸⣿⣿⣿⣿⣿⡇⢀⠀⢸⣿⣷⣿⣿⣿⣿⣿⣿⣿⢿⣿⣷⠀⠄⠂⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⠂⣾⣿⣿⠀⠆⣿⠃⡁⢹⡿⠿⢋⣰⢠⣿⠁⠃⠿⡿⢿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢈⡄⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⠟⠁⢰⡚⠓⠓⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣄⣀⣿⣇⣢⣀⣀⣐⣮⣶⣿⣿⣄⣀⣀⣀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⣿⠻⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡿⡂ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠟⠋⠉⠁⠀⠙⣻⣿⣿⠟⢛⠉⠀⠀⠀⡿⠉⠉⠉⠛⢻⣯⠉⢹⡏⣩⣭⡆⠀⣶⣦⢸⡟⠁⣾⣷⣦⢸⡋ ⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣯⣿⣿⣯⣿⣿⣿⣷⢰⣿⣿⣿⡄⢸⣿⣿⠀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠈⠙⠁⠐⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⣀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣾⣿⣿⣿⣿⣾⣿⡿⠈⠛⠿⠿⠇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠄ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢾⣿⡇⠈⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⡆ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣻⣿⡇⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠊⠉⢿⣶⠒⠀⠀⠀⠀⠀⠻⠿⢿⣿⡇ ⣿⣿⣿⣿⣏⣛⣿⣟⣿⣿⣛⣻⣿⣿⣝⣿⣿⣻⣿⣿⣾⣿⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠓⡀⠀⠀⠀⠠⠀⠈⠀⠘⠎⠇ ⣿⠿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣟⢿⣿⣿⡿⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⢀⣀⣀⢀⣀⣀⡀⣀⢀⣀⣀⣀⢀⣀⡀⡀⢀⣀⡀⡀⣀⣀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢀⣶⣄⣤⣤⣤⣤⣤⣤⣤⣤⣤ ⠁⢀⡉⠈⠋⠿⢿⣜⣟⣽⣿⣟⣧⣽⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⣹⣿⡟⠖⠰⡤⢄⠊⠉⠛⠛⠛⠉⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢠⣼⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡟⡛⢛⣛⠛⠛⠛⠁⠀⠀⠀⠀⠀⣀⡀⠈⢙⣛⢛⠛⠛⠛⠛⠛⠛⠛⠛⠃⠁⠀⠀⠀⢀⣀⠀⡙⢛⠛⢛⠛⠛⠃⠀⠀⠀⠠⣠⣄⠈⡍⠩⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣯⣿⢽⣿⣿⣿ ⣿⣿⡇⡟⢾⢸⢸⣉⡏⢹⡱⢈⡁⣎⡆⡏⣏⠀⢂⣀⢸⢎⡱⣊⡅⣀⡇⠋⢎⡃⣋⠄⠀⠀⢸⣒⠅⠱⢻⠀⢸⣀⣝⡇⢃⠂⣀⠆⡇⡇⣂⠄⠀⠀⠀⠀⠉⠙⠛⠻⢿⣿⣿⣿⣧⣾⣗⣽⢺⢏⣿⢟⣿⣻⢿⣿⣿⣿ ⣿⣿⣧⣤⣤⣤⣤⣤⣤⣤⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣤⣤⣤⡄⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣾⣿⣮⣛⣊⡟⣼⣺⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⠓⠚⡛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢀⣀⠀⠀⡀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣭⣶⡦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣷⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣠⣶⣶⣿⣿⣿⣿⣿⡀⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⠋⢻⡟⠛⣿⡟⠋⠉⢉⡛⠛⢿⣿⣿⡏⢉⠉⡉⠉⢹⣿⣿⠛⠁⠀⠀⠀⠈⢙⠻⡏⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠃⡛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀ ⣿⣿⣿⣿⣧⢀⠘⣿⣿⡟⢀⢀⣾⠇⠀⣿⡇⡈⢰⣶⣶⣅⢂⠘⣿⡇⡄⠼⠿⠿⣿⡟⢀⢂⣴⣿⣿⣿⣶⡘⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⢣⢀⡃⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣸⣿⣿⣿⠀⠆⣿⠃⠷⢀⣀⣀⣴⠆⠆⢸⣿⣿⣿⣿⣿⡇⢀⠀⢸⣿⣶⣿⣿⣿⣿⣿⣿⣿⢻⣿⣷⠀⠀⠂⠤⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⠂⣾⣿⣿⠀⠆⣿⠃⡁⢹⡿⠿⢋⣰⢠⣿⠁⠃⠿⡿⢿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢈⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⠻⠃⢲⡒⠓⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢁ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣄⣀⣿⣇⣢⣀⣀⣐⣮⣶⣿⣿⣄⣀⣀⣀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⣿⢻⣿⡿⠿⣿⣿⣿⣿⡟⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡷⡀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠟⠋⠉⠁⠀⠙⣻⣿⣿⠟⢛⠉⠀⠀⠀⡻⠁⠉⠉⠛⢻⣯⠉⢹⡏⣩⣭⡆⠀⣶⣦⢸⡟⠁⣾⣷⣦⠸⡁ ⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣯⣿⣿⣯⣿⣿⣿⣷⢰⣿⣿⣿⡄⢸⣿⣿⠀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠉⠙⠁⠈⠊⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠈⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⢀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣾⣿⣿⣿⣿⣾⣿⣿⠈⠛⠿⠿⠇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢺⣿⡇⠈⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⡄ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣻⣿⡇⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠈⢿⣶⠒⠀⠀⠀⠀⠀⠿⠿⢿⣿⡇ ⣿⣿⣿⣿⣟⣛⣿⣟⣿⣿⣛⣻⣻⣿⣝⣿⣿⣻⣿⣿⣾⣿⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠛⡀⠀⠀⠀⠠⠀⠈⠀⠘⠎⠏ ⣿⠿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣿⢿⣿⣿⡟⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⢀⣀⣀⢠⣀⣀⡀⣀⢀⣀⣀⣀⢀⣀⡀⡀⢀⣀⡀⡀⣀⣀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢀⣷⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤ ⠁⢀⡉⠈⠋⠿⢿⣜⣟⣼⣿⣟⣷⣽⣿⠃⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⣹⣿⡟⠖⠰⡄⢄⠊⠉⠛⠛⠛⠉⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢠⣼⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡟⡛⢛⢛⠛⠛⠛⠁⠀⠀⠀⠀⠀⣀⠀⠈⠙⣛⢛⠛⠛⠛⠛⠛⠛⠛⠛⠃⠁⠀⠀⠀⢀⣀⠀⡙⢛⠛⢛⠛⠛⠃⠀⠀⠀⠠⣠⣄⠈⡍⠍⢩⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣯⣿⢽⣿⣿⣿ ⣿⣿⡇⡿⢾⢸⢰⣁⡇⢰⣱⢈⡅⣎⡆⡏⣏⠀⢎⣀⢸⢎⡱⣊⡄⣀⡇⠊⢎⡀⣪⠄⠀⠀⢸⣒⠅⠱⢻⠀⢸⣀⣯⡇⢂⠂⣂⡆⡆⡇⣢⠀⠀⠀⠀⠀⠉⠙⠛⠻⢿⣿⣿⣿⣧⣾⣗⣽⢺⢏⣿⢟⣿⣻⢿⣿⣿⣿ ⣿⣿⣧⣤⣤⣤⣤⣤⣤⣤⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⢀⣤⣤⣤⣤⣤⣤⣤⡄⠈⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣾⣿⣮⣛⣊⡟⣼⣺⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢀⣀⠀⠀⣀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣭⣶⡆⠀⠠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣠⣶⣿⣿⣿⣿⣿⣿⡀⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⠋⢻⡟⠛⣿⡟⠋⠉⢉⡛⠛⢿⣿⣿⡏⢉⠉⡉⠉⢹⣿⣿⠛⠁⠀⠀⠀⠈⢙⠻⠏⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠃⡛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⣿⣿⣿⣿⣧⢀⠘⣿⣿⡟⢀⢀⣾⠇⠀⣿⡇⡈⢰⣶⣶⣅⢂⠘⣿⡇⡄⠼⠿⠿⣿⡟⢀⢂⣴⣿⣿⣿⣶⡘⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⢀⡃⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣢⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣸⣿⣿⣿⠀⠆⣿⠃⠷⢀⣀⣀⣰⠆⠆⢸⣿⣿⣿⣿⣿⡇⢀⠀⢸⣿⣷⣿⣿⣿⣿⣿⣿⣿⢻⣿⣷⠀⠀⠂⠠⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⡂ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⠂⣾⣿⣿⠀⠆⣿⠃⡁⢹⡿⠿⢋⣰⢠⣿⠁⠃⠿⡿⢿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢈⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠘⠿⠃⢲⡒⠓⠓⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣄⣀⣿⣇⣢⣀⣀⣐⣮⣶⣿⣿⣄⣀⣀⣀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⡿⢿⣿⣻⣿⣟⣿⣿⣿⠏⠀⠀⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⡉ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠟⠋⠉⠁⠀⠛⣻⣿⣿⠟⢛⠍⠀⠀⠀⡿⠉⠉⠉⠛⢻⣯⠉⣹⡏⣩⣭⡆⠀⣶⣦⢸⡟⠁⣾⣷⣦⢸⡁ ⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣯⣿⣿⣯⣿⣿⣿⣷⢰⣿⣿⣿⡄⢰⣿⣿⠀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠈⠙⠁⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠘⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⣀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣾⣿⣿⣿⣿⣾⣿⣯⠈⠛⠿⠿⠇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢺⣿⡇⠈⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⡆ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣻⣿⡇⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠨⣿⣶⠒⠀⠀⠀⠀⠀⠻⠿⢿⣿⡇ ⣿⣿⣿⣿⣟⣛⣿⣟⣿⣿⣛⣻⣿⣿⣝⣿⣿⣻⣿⣿⣿⣿⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⠻⠀⠀⠀⠀⠠⠀⠈⠀⠘⠞⠇ ⣿⠿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣟⢿⣿⣿⡟⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⢀⣀⣀⢀⣀⣀⡀⣀⢀⣀⣀⣀⢀⣀⡀⡀⢀⣀⡀⡀⣀⡀⠀⡀⠀⠀⢀⠀⠀⠀⠀⢠⣷⣀⣤⣤⣤⣤⣤⣤⣤⣤⣠ ⠁⢀⡉⠈⠋⠿⢿⣜⣟⣽⣿⣟⣧⣽⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⡟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⣹⣿⡟⠖⠰⡤⢄⠊⠉⠛⠛⠛⠍⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢠⣼⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡿⠿⠿⢿⠿⠿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠈⠹⠛⢿⠿⠿⠿⠿⠿⠿⠿⠟⠃⠁⠀⠀⠀⠀⠀⠀⠹⠿⠿⠿⠿⠿⠇⠀⠀⠀⠠⣠⡄⠈⠉⠍⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣯⣿⢽⣿⣿⣿ ⣿⣿⡇⡿⣾⢰⢰⠒⡖⢰⢲⠰⠆⡖⡆⡇⡗⠀⢎⠈⢸⠔⠢⡲⡆⡀⡆⠒⡶⠆⠶⡀⠀⠀⢸⠐⡄⢡⢿⠀⢸⠀⡶⡆⢂⠆⡒⡆⡆⡆⠶⡀⠀⠀⠀⠀⠉⠙⠛⠻⢿⣿⣿⣿⣧⣾⣗⣽⢺⢏⣿⢟⣿⣻⢿⣿⣿⣿ ⣿⣿⣧⣥⣤⣬⣤⣥⣤⣤⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣬⣤⣬⣭⣬⡅⠊⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣾⣿⣮⣛⣊⡟⣼⣺⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⠓⠚⡛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠧⠀⠀⢀⣀⡀⠀⢀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣭⣶⡆⠀⢠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣠⣶⣿⣿⣿⣿⣿⣿⡀⡀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠈ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⠋⢻⡟⠛⣿⡟⠋⠉⢉⡛⠛⢿⣿⣿⡏⢉⠉⠉⠉⢹⣿⣿⠛⠁⠀⠀⠀⠈⢙⠻⡏⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠃⡟⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀ ⣿⣿⣿⣿⣧⢀⠘⣿⣿⡟⢀⢀⣾⠇⠀⣿⡇⡈⢰⣶⣶⣅⢂⠘⣿⡇⡄⠴⠿⠿⣿⡟⢁⢂⣴⣿⣿⣿⣶⡘⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⢀⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣸⣿⣿⣿⠀⠆⣿⠃⠷⢀⣀⣀⣴⠆⠆⢸⣿⣿⣿⣿⣿⡇⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣷⠀⠀⠂⠄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⠂⣾⣿⣿⠀⠆⣿⠃⡁⢹⡿⠿⢋⣰⢠⣿⠁⠃⠿⡿⢿⣿⣷⡀⡈⠛⠿⣿⡿⠟⠀⢈⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⢿⠁⢰⡒⠓⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣄⣀⣿⣇⣢⣀⣀⣐⣮⣶⣿⣿⣄⣀⣀⣀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⣿⢻⣿⣛⣿⣿⣿⣿⣿⡟⠀⠀⢭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡷⡆ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠟⠋⠉⠁⠀⠙⣻⣿⣿⠟⢛⡍⠀⠀⠀⡿⠉⠉⠉⠛⢻⣯⠉⢹⡏⣩⣭⡆⠀⣶⣦⢸⡟⠁⣾⣷⣦⢸⠁ ⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣯⣿⣿⣯⣿⣿⣿⣷⢰⣿⣿⣿⡄⢸⣿⣿⠀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠈⠙⠁⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⣀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣾⣿⣿⣿⣿⣾⣿⣿⠈⠛⠿⠿⠇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢾⣿⡇⠘⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⡆ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣻⣿⡇⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠌⠘⢿⣶⠒⠀⠀⠀⠀⠀⠿⠿⢿⣿⡇ ⣿⣿⣿⣿⣟⣛⣿⣟⣿⣿⣛⣻⣿⣿⣝⣿⣿⣻⣿⣿⣾⣿⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠛⡀⠀⠀⠀⠠⠀⠈⠀⠘⠞⠗ ⣿⠿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣟⢿⣿⣿⡿⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⢀⣀⣀⢠⣀⣀⡀⣀⢀⣀⣀⣀⢀⣀⡀⡀⢀⣀⡀⡀⣀⣀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢀⣷⣀⣤⣤⣤⣤⣤⣤⣤⣤⣠ ⠁⢀⡉⠈⠋⠿⢿⣜⣟⣽⣿⣟⣧⣽⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⣹⣿⡟⠖⠰⡤⢄⠊⠉⠛⠛⠛⠉⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢠⣼⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡿⠿⠿⠿⠿⠿⠿⠅⠀⠀⠀⠀⠀⠀⠀⠈⠽⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠇⠁⠀⠀⠀⠀⠀⠀⠹⠿⠿⠿⠿⠿⠇⠀⠀⠀⠠⣠⡄⠨⠉⠍⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣯⣿⢽⣿⣿⣿ ⣿⣿⡇⡷⣾⢸⢰⠒⡖⢲⢲⠰⠂⡖⡆⡗⡗⠀⢎⠉⢸⠔⢢⠶⡂⠀⡆⠒⡴⠆⠶⡂⠀⠀⢸⠉⡀⢣⢾⠀⢸⠀⡶⡆⢆⠆⡒⡔⡖⡗⠶⡀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣾⣗⣽⢺⢏⣿⢟⣿⣻⢿⣿⣿⣿ ⣿⣿⣇⣡⣀⣈⣀⣉⣁⣀⡁⠈⡀⠈⠀⠁⠈⠀⠀⠁⠀⠈⠁⠈⠀⠀⠁⠀⠈⠁⠈⠀⠀⠀⠀⢉⣀⣀⣈⣀⣈⣉⣉⡁⠊⠀⠈⠀⠀⠁⠈⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣾⣿⣮⣛⣊⡟⣼⣺⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⡓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢠⡀⠀⢀⠀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣭⣶⡆⠀⠠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣴⣾⣿⣿⣿⣿⣿⣧⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡠⠐ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⠋⢻⡟⠛⣿⡟⠋⠉⢉⡛⠛⢿⣿⣿⡏⢉⠉⡉⠉⢹⣿⣿⠛⠁⠀⠀⠀⠈⢙⢻⡏⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠃⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢄⠀ ⣿⣿⣿⣿⣧⢀⠘⣿⣿⡟⢀⢀⣾⠇⠀⣿⡇⡈⢰⣶⣶⣅⢂⠘⣿⡇⡄⠴⠿⠿⣿⡟⢀⢂⣴⣿⣿⣿⣶⡘⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⢨⡀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣸⣿⣿⣿⠀⠆⣿⠃⠷⢀⣀⣀⣴⠆⠆⢸⣿⣿⣿⣿⣿⡇⢀⠀⢿⣿⣾⣿⣿⣿⣿⣿⣿⣿⢹⣿⣷⠀⠀⠂⠤⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⠂⣾⣿⣿⠀⠆⣿⠃⡁⢹⡿⠿⢋⣰⢠⣿⠁⠃⠿⡿⢿⣿⣷⡀⡈⠛⠿⣿⡿⠟⠀⢈⡄⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⢿⠁⢲⡒⠓⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⡁ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣄⣀⣿⣇⣢⣀⣀⣐⣮⣶⣿⣿⣄⣀⣀⣀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⠍ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠛⠋⠉⠀⠀⢛⣻⣿⡿⠟⢛⡍⠀⠀⠀⡸⠁⠉⠉⠛⢻⣯⠉⢹⡏⣩⣭⡆⠀⣶⣦⢸⡟⠁⣾⣷⣦⢰⣄ ⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣯⣿⣿⣯⣿⣿⣿⣷⢰⣿⣿⣿⡄⢸⣿⣿⠀⠾⠋⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠸⠋⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠈⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⣀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣾⣿⣿⣿⣿⣾⣿⡿⠈⠻⠿⠿⠇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠄ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢺⣿⡇⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⡆ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣻⣿⡇⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠊⠚⣿⣶⠒⠀⠀⠀⠀⠀⠿⠿⢿⣿⡇ ⣿⣿⣿⣿⣟⣛⣿⣟⣿⣿⣛⣻⣿⣿⣝⣿⣿⣻⣿⣿⣾⣿⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⠛⡀⠀⠀⠀⠠⠀⠈⠀⠘⠞⠇ ⣿⠿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣿⢿⣿⣿⡟⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⢀⣀⣀⢠⣀⣀⡀⣀⢀⣀⣀⣀⢀⣀⡀⡀⢀⣀⣀⡀⣀⣀⠀⡀⠀⠀⢀⠀⠀⠀⠀⢀⣷⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤ ⠁⢀⡉⠈⠋⠿⢿⣜⣟⣽⣿⣟⣷⣽⣿⠃⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⣹⣿⡟⠖⠰⡤⢄⠊⠉⠛⠛⠛⠉⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠄⠀⠀⠠⠠⠏⠺⠀⠸⠠⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠛⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⡿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢳⣭⣵⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣄⣀⣄⣠⣾⣿ ⣿⣿⣿⣿⡿⢟⠿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⣿⢿⡿⢿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⢿⠿⢿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣾⣾⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣷⣷⣾⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏ ䷩ 𝚕𝚒𝚗𝚎 3617 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/04/25/Video_Time_to_Acknowledge_Debian_Has_a_Real_Problem_and_This_Pr.shtml Gemini version at gemini://gemini.techrights.org/n/2024/04/25/Video_Time_to_Acknowledge_Debian_Has_a_Real_Problem_and_This_Pr.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Video] Time to Acknowledge Debian Has a Real Problem and This Problem Needs to be Solved⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Apr 25, 2024, updated Apr 25, 2024 Video_download_link | md5sum 21716ba7057721e904ba8a05e0a206a3 Hiding_Debian_Problems_Is_Not_Helpful Creative Commons Attribution-No Derivative Works 4.0 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Preview_for_Hiding_Debian_Problems_Is_Not_Helpful⦈_ THE other day, shortly after a_new_Debian_Project_Leader_had_been_elected, we took time to write_about_him rather than to him. But we kept it courteous, polite, and hopefully constructive. We basically argued it would make sense to try to resolve conflicts and issues, not exacerbate these. Last night I decided to record a couple of videos about this; the first time I made_a_video_about_it I was talking about vicious attacks_on_Norbert_Preining, who said in his_blog: "The one single person within Debian who has worked for years to get me ostracized and thrown out of Debian is … Enrico Zini. Probably because I made a joke about him and his ridiculous statement “Debian is a relationship between multiple people” (how trivial can you be to be printed on a huge poster?), and me without knowing that his buddy Martina Ferrari is trans, criticizing them for spreading lies. Well … I should have known that doing this to a DAM (and back then also Anti- Harassment-Team member) could bring me into “devil’s kitchen”." Today's (recorded last night) videos will cover: 1) diversity programmes; 2) dangerous precedents set with Debian's latest_WIPO_case, which (if Debian/SPI gets its way) will mean millions of sites are at risk. Debian isn't about freedom if it carries on like this, in effect attacking free speech or the First Amendment (Debian started in the United States). Worse yet, what it keeps suppressing is any discussion about mistreatment of women. Consider Ulrike_Uhlig's_experiences_inside_Debian (she was a Debian Developer). It's worth recalling that her_article_"unpaid_work" was unpublished after it had appeared (briefly) in Planet Debian. Debian's culture of censorship will be dealt with separately in the next article (and video). █ ⣿⣿⡿⡧⢼⢸⡗⣿⡇⡖⡄⡔⡄⠀⡏⢱⢠⣢⢸⢢⢨⣐⡄⡖⡆⠀⡯⠇⡖⡐⢢⠠⢢⠀⡔⠀⡖⡔⡆⢖⡀⢸⠠⣂⠀⠘⣴⢠⢢⢰⠂⢸⠤⡇⣔⡄⡇⠔⡔⡟⡆⡆⡇⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶ ⣿⣿⣇⣃⣈⣈⣉⣉⣁⡁⠁⠉⠃⠀⠉⠁⠈⠉⣈⣉⣈⣉⣁⣁⣁⣀⣁⣀⡁⠈⠁⠈⠁⠀⠉⠁⠁⢁⣁⣉⣁⣈⣈⡉⠀⠀⠈⢨⣩⡌⠁⠈⠀⣥⣭⢁⣁⣉⣁⣁⣉⣁⣁⣻⣿⢟⣿⣿⣿⣯⣿⣿⣿⣿⢽⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠚⠻⠻⠛⠛⠛⠙⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠰⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡐⢿⠋⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠐⡜⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠧⣿⣽⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢈⡁⣄⣵⣼⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⢀⡀⠀⠀⠀⠀⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣭⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⠈⢐⢀⡼⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣠⣶⣾⣿⣿⣿⣶⣴⡄⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠋⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠀⠁⢙⢿⡿⠛⠁⠀⠀⠀⢈⢙⢻⠇⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠐⠘⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡁⣿⡇⡌⢰⣶⣶⣅⢢⠙⣿⡇⡄⠐⠤⠻⣿⡟⢀⢀⣴⣿⣿⣿⣷⡘⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠂⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣹⣿⣿⣿⠀⠇⣿⠃⠷⢀⣀⣀⣰⠆⠆⢸⣿⣿⣿⣿⣿⡇⢀⠀⢸⣿⣷⣿⣿⣿⣿⣭⣿⣿⡇⣶⢣⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢂⣾⣿⣿⠀⠆⣿⡃⡁⢿⣿⠿⢋⣰⢠⣿⠁⠃⠪⡷⠿⣿⣷⡀⡈⠻⠿⣿⠿⠟⠀⢐⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠈⠁⠐⠒⠀⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣤⣀⣿⣇⣢⣀⣀⣐⣮⣶⣿⣿⣄⣂⣀⣀⣀⣬⣿⣿⣾⣴⣢⣠⣐⣲⣵⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣽⣿⢿⠿⢿⠿⠿⠿⠿⠿⠛⠋⠉⠀⠈⢛⣻⣿⣿⠟⣛⠍⠀⠀⠀⠀⠀⠈⠉⠛⢿⣯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠁⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⠠⢾⣿⣿⡀⢰⣿⣿⠀⠾⠃⠀⠀⠀⠀⠀⠀⠀⠉⠛⠁⠘⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣷⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠀⠙⠽⠿⠄⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢰⣷⠄⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣠⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡶⠒⠀⠀⠀⠀⠀⠙⠻⢿⣿⠇ ⣿⣿⣿⣿⣟⣛⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣻⣿⣿⣿⣿⣷⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠠⠀⠀⠀⠘⠞⠃ ⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⣀⣀⠀⡀⠀⢀⢀⣀⡀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⡅⢉⡉⠘⠋⠿⣿⣜⣟⣿⣿⣿⣷⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠰⣻⣿⣿⣷⢶⣬⣄⢋⡩⠟⠛⢟⠟⠻⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡟⡧⢼⣩⡧⣷⡅⡄⡄⡄⡄⠀⡆⢰⢠⣠⢰⢠⢨⣄⡄⡤⡄⠀⣏⠆⡄⡠⢠⠢⢠⠀⣄⡄⡄⡄⡄⣄⡀⢸⢠⡀⠀⠐⣴⢠⢠⢰⠀⢰⠤⡇⣄⡄⡇⠤⡄⡏⡄⡄⡇⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ 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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢚⣿⣽⣿⣿⠿⢿⠿⠿⠿⠿⠿⠛⠋⠉⠀⠈⢛⣻⣿⡿⠟⣛⠍⠀⠀⠀⠀⠀⠈⠉⠛⢿⣯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠁⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣷⠀⣺⣾⣿⡀⢰⣿⣿⠀⠾⠃⠀⠀⠀⠀⠀⠀⠀⠉⠛⠁⠘⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣾⣿⣿⠀⠙⠘⠿⠅⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢠⣥⡃⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⡀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣻⣿⡇⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡶⠒⠀⠀⠀⠀⠀⠹⠿⢿⣿⡇ ⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣻⣿⣿⣿⣿⣷⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠘⠚⠁ ⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⣀⣀⠀⡀⠀⢀⢀⣀⡀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⡅⢈⡉⠘⠋⠿⣿⣜⣟⣿⣿⣿⣷⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠰⣿⣿⣿⣷⢲⣤⣤⢋⡩⡟⢛⠿⢟⠻⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡟⡦⢴⣹⡯⣷⡄⡤⡄⡤⡄⠀⡆⢲⢠⣤⢰⢤⢠⣤⡄⡤⡄⠀⣖⡆⡤⡠⢄⠢⢄⠀⣤⡄⡤⡤⡄⣤⠄⢰⣠⡤⠀⠐⣰⢠⢤⢰⠄⢰⠤⡆⣤⡄⡇⠤⡤⡯⡄⡄⡇⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⣇⣃⣘⣜⣑⣉⣁⠃⠁⠥⠃⠀⠁⠈⠈⠊⠈⠊⠈⠑⠁⠃⠁⠀⠃⠀⠃⠈⠈⠈⠈⠀⠁⠀⠃⢁⢃⣓⣁⣈⣈⡊⠀⠀⠈⢨⣨⡌⠀⠈⠠⢡⣥⢀⣃⣑⣁⣃⣑⣃⢃⣻⣿⢟⣿⣿⣿⣯⣿⣿⣿⣿⢽⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠚⠻⠻⠛⠛⠛⠙⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠰⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡐⢿⠋⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣻⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢐⡜⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢌⣉⣹⣯⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⠤⢹⣷⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⢀⡀⠀⠀⠀⠀⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣷⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⠀⠀⢐⡀⢸⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣠⣶⣶⣿⣿⣿⣶⣤⡄⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠈⠉⢘⢿⣿⠛⠁⠀⠀⠀⢈⢙⢻⠃⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠑⠙⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡁⣿⡇⡌⢰⣶⣶⣅⢢⠙⣿⡇⡄⠐⠡⠼⣿⡛⢀⢀⣴⣿⣿⣿⣷⡘⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠂⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣽⣿⣿⣿⠀⠇⣿⠃⠷⢀⣀⣀⣰⠂⠆⢸⣿⣿⣿⣿⣿⡇⠐⠀⢸⣿⣷⣿⣿⣿⣿⣯⣿⣿⡇⣦⢣⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢂⣾⣿⣿⠀⠆⣿⡃⡁⢿⣿⠿⢋⣰⢠⣿⠁⠃⠙⡿⠿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢀⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠈⠚⠁⢐⠒⠂⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣤⣀⣿⣇⣢⣀⣀⣐⣮⣶⣿⣿⣄⣂⣀⣀⣀⣬⣿⣿⣮⣴⣢⣠⣐⣲⣵⣿⣿⡿⢿⣿⡿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⠿⢿⠿⠿⠿⠿⠿⠛⠉⠉⠀⠈⢻⣻⣿⣿⠟⣛⠍⠀⠀⠀⠀⠀⠈⠉⠻⢿⣯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠁⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⡿⢀⣾⣼⣿⠀⢰⣿⣿⠀⠞⠃⠀⠀⠀⠀⠀⠀⠀⠙⠛⠁⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣷⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠀⠙⠛⠿⠆⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢠⣿⠆⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣠⡀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣻⣿⣇⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠶⠒⠀⠀⠀⠀⠀⠙⠻⢿⣿⡆ ⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣻⣿⣿⣿⣿⣷⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠘⠚⠂ ⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⡀⠀⢀⢀⣀⡀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⡅⢉⡉⠘⠋⢿⣿⣜⣟⣿⣿⣿⣷⣽⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠰⣻⣿⣿⣷⢾⣤⣴⢋⡉⡟⣛⠿⢟⠳⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡟⣦⣰⣱⡯⣷⡆⡤⡄⡤⡄⠀⡖⢲⢠⣤⢰⢤⢠⢤⡄⡤⡄⠀⣖⡆⡤⡠⢄⠢⢄⠀⣠⡄⡤⡤⡄⣤⠄⢰⣠⡤⠀⠐⣰⢠⢤⢰⠄⢰⣀⡆⣤⡄⡆⡤⡤⡶⡄⡄⡆⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡇⠃⠘⡘⠑⠋⠃⠃⠃⠵⠇⠀⠓⠊⠈⠂⠘⠊⠈⠑⠁⠃⠁⠀⠃⠀⠃⠐⠊⠀⠊⠀⠑⠂⠃⠃⠃⠒⠁⠙⠐⠊⠀⠀⠈⢨⣨⡌⠀⠈⠠⢥⣥⠀⠃⠓⠁⠃⠓⠃⠃⣻⣿⢟⣿⣿⣿⣯⣿⣿⣿⣿⢽⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠚⠫⠻⠛⠛⠛⠙⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠰⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡐⢿⠋⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢐⡜⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡰⣯⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠈⠐⣨⣷⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣀⠀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣭⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⠔⠀⠀⡄⣸⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢀⣶⣶⣿⣿⣿⣷⣦⣄⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠀⠀⢹⣿⡿⠛⠁⠀⠀⠀⢈⢙⢻⠏⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠘⠈⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡁⣿⡇⡌⢰⣶⣶⣅⢢⠙⣿⡇⡄⠀⠾⠿⣿⡛⢀⢀⣴⣿⣿⣿⣷⡘⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠐⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣽⣿⣿⣿⠀⠇⣿⠃⠷⢀⢀⣀⣰⠂⠆⢸⣿⣿⣿⣿⣿⡇⢀⠀⢸⣿⣿⣾⣿⣿⣿⣯⣿⣿⡗⣷⢶⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢂⣾⣿⣿⠀⠆⣿⡃⡁⢿⣿⠿⢋⣰⢠⣿⠁⠃⠴⡿⠿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢈⡄⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠁⢐⠒⠂⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣤⣀⣿⣇⣢⣀⣀⣐⣮⣶⣿⣿⣄⣂⢀⣀⣀⣬⣿⣿⣮⣴⣢⣠⣐⣲⣵⣿⣿⡿⢻⣿⣿⢿⣿⣿⣿⣿⡿⠁⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢭⣿⣿⣿⢿⠿⢿⠿⠿⠿⠿⠿⠛⠉⠉⠀⠀⠻⣻⣿⣿⠟⣛⠍⠁⠀⠀⠀⠀⠈⠉⠻⢿⣯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠁⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⢠⢾⣿⣿⠀⢰⣿⣿⠀⠾⠃⠀⠀⠀⠀⠀⠀⠀⠉⠛⠁⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣯⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠈⠙⠹⠿⠆⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢠⣷⡇⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⡀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣻⣿⣇⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡶⠒⠀⠀⠀⠀⠀⠙⠻⢿⣿⠆ ⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣻⣿⣿⣿⣿⣷⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠘⠚⠂ ⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⣀⣀⠀⡀⠀⢀⢀⣀⡀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⡅⢉⡍⠘⠋⠿⢿⣜⣟⣿⣿⣿⣷⣽⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠰⣻⣿⣿⣷⢺⣤⣴⢋⡩⠟⡻⢿⠟⠛⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡟⣦⣰⣰⡫⣷⡆⡤⡀⡠⡄⠀⡖⢢⢀⢄⢰⢄⢐⠠⡄⡤⡄⠀⣖⡆⡤⠠⢄⠂⢄⠀⡠⠀⡤⡠⡄⡤⠀⢰⢠⠄⠀⠰⣠⢀⢄⢰⠄⢰⣀⡆⡠⡄⡆⡤⡠⡶⡄⡄⡆⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡇⠃⠘⡜⠓⠛⠃⠃⠃⠓⠇⠀⠓⠊⠐⠒⠘⠚⠘⠓⠃⠃⠃⠀⠃⠀⠃⠑⠊⠐⠊⠀⠑⠂⠃⠃⠃⠚⠃⠙⠐⠛⠀⠀⠘⢨⣨⡜⠀⠈⠠⢅⡑⠂⠃⠒⠃⠃⠓⠃⠃⣻⣿⢟⣿⣿⣿⣯⣿⣿⣿⣿⢽⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠚⠫⠻⠛⠛⠛⠙⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠰⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢺⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡐⢿⠋⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢰⡜⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⡩⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡁⢬⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣀⠀⠀⠀⠀⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣭⣷⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⠀⣠⢰⣇⣀⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠇⢠⣶⣶⣾⣾⣿⣦⣤⣄⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠀⠀⢙⢿⡿⠛⠉⠀⠀⠀⠈⢙⢻⠇⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠐⠙⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡁⣿⡇⡌⢰⣶⣶⣅⢢⠙⣿⡇⡄⠐⠾⠾⣾⠟⢀⢀⣴⣿⣿⣿⣷⡘⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠠⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢀⢀⣾⣿⠀⠇⣿⡇⡆⣽⣿⣿⣿⠀⠇⣿⠃⠷⢀⣀⣀⣰⠂⠆⢸⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣽⣿⣿⣿⣿⣿⣿⡇⣦⢣⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢂⣾⣿⣿⠀⠆⣿⡃⡁⢿⣿⠿⢋⣰⢠⣿⠁⠃⠑⡟⠿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢐⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠈⠁⠐⠒⠒⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣤⣀⣿⣇⣢⣀⣀⣐⣮⣶⣿⣿⣄⣂⣀⣀⣀⣬⣿⣿⣮⣴⣢⣠⣐⣲⣵⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢮⣿⣿⣿⣿⠿⢿⠿⠿⠿⠿⠿⠛⠋⠉⠀⠈⢛⣻⣿⣿⠟⣛⠍⠀⠀⠀⠀⠀⠈⠉⠻⢿⣯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠁⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣷⢠⣾⣿⣿⡀⢰⣿⣿⠀⠼⠁⠀⠀⠀⠀⠀⠀⠀⠙⠛⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣷⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠀⠉⠘⠿⠂⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢰⣷⡆⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣠⡄ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣻⣿⣇⠀⠀⠀⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣶⠒⠀⠀⠀⠀⠀⠸⠿⢿⣿⡆ ⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣻⣿⣿⣿⣿⣷⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠠⠀⠀⠀⠘⠚⠂ ⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⣀⣀⠀⡀⠀⢀⢀⣀⡀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⡅⢉⡍⠘⠋⢿⢿⣜⣟⣿⣿⣿⣷⣽⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠰⣻⣿⣿⣷⣺⣤⣴⢋⡩⠟⡻⢿⠟⠓⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡟⣯⣹⢹⣫⣿⡏⡀⡀⡀⡀⠀⡖⢠⢀⢀⢸⢄⢑⠩⡉⡍⡍⠉⡟⡏⡄⢀⢀⢀⢀⠀⡀⡀⡀⡀⡉⡩⠉⢹⢉⠇⠀⠠⣠⢀⢀⢠⠀⢰⣀⡎⡠⡉⡏⡩⡩⡟⡍⡍⡏⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡇⠃⠘⡜⠓⠛⠃⠃⠃⠓⠇⠀⠓⠚⠘⠛⠘⠚⠘⠛⠃⠃⠃⠀⠃⠀⠃⠑⠊⠐⠊⠀⠛⠃⠃⠃⠃⠛⠃⠘⠐⠛⠀⠀⠙⢨⣸⡜⠀⠈⠠⠁⣭⠁⠃⠒⠃⠃⠓⠃⠃⣻⣿⢟⣿⣿⣿⣯⣿⣿⣿⣿⢽⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠚⠫⠻⠛⠛⠛⠙⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠰⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢺⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡐⢿⠋⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢐⡜⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢌⡉⣭⣿⣿⣿⣿⡿⣿⣿⡇⠀⠀⠈⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡡⣦⡶⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⣀⠀⠀⠀⠀⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣭⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⠀⡂⢀⣈⢺⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢀⣶⣶⣾⣾⣿⣶⣤⣄⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡟⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠁⠀⢹⢿⣿⠛⠁⠀⠀⠀⢈⢙⢻⠇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠘⠘⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡁⣿⡇⡌⢰⣶⣶⣅⢢⠙⣿⡇⡄⠰⠿⠿⣿⡟⢀⢀⣴⣿⣿⣿⣷⡘⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠐⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣽⣿⣿⣿⠀⠇⣿⠃⠷⢀⢀⣀⣐⠆⠄⢸⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣷⢳⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢂⣾⣿⣿⠀⠆⣿⡃⡁⢿⣿⠿⢋⣰⢠⣿⠁⠃⠋⡿⠿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢘⡄⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠐⠁⢐⠒⠂⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣤⣀⣿⣇⣢⣀⣀⣐⣮⣶⣿⣿⣄⣂⢀⣀⣀⣬⣿⣿⣮⣴⣀⣠⣐⣲⣵⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡹⣿⣿⣿⢿⠿⢿⠿⠿⠿⠿⠿⠛⠋⠉⠀⠀⠛⣻⣶⣾⠟⣛⠍⠁⠀⠀⠀⠀⠈⠉⠛⢿⣯⠉⣹⡏⣩⣥⡇⠠⣶⣦⢸⡟⠁⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⢰⣺⣮⣿⡀⢰⣿⣿⠀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠙⠛⠁⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣯⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠀⠙⠸⠿⠅⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢠⣿⡇⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣠⡀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣻⣿⣇⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠶⠒⠀⠀⠀⠀⠀⠙⠿⢿⣿⠆ ⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣻⣿⣿⣿⣿⣷⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠘⠊⠃ ⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⡀⣀⣀⣀⡀⣀⣀⠀⡀⠀⢀⢀⣀⡀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⡅⢉⡍⠘⠋⠿⣿⣜⣟⣿⣿⣿⣷⣽⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠰⣻⣿⣿⣷⢳⣤⣥⢋⡩⢟⣻⢿⠟⠛⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⣭⣩⣙⣋⣯⡋⡀⡀⡀⡀⠀⡄⢤⢀⣀⢩⣉⢉⣉⡉⣉⡉⠉⡍⡍⣉⢉⣁⢀⡀⠀⡀⡀⡀⣀⡉⣉⡉⢩⣉⡃⠀⠠⣠⢀⢀⢠⡀⢠⣀⡍⣉⡉⡏⣉⣉⡟⡉⡉⡏⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡇⠃⠘⡜⠓⠋⠃⠃⠃⣃⠇⠀⠃⠘⠘⠙⠘⠘⠘⠋⠃⠃⠃⠀⠋⠁⠃⠑⠘⠐⠘⠀⠋⠁⠃⠃⠃⠛⠂⠘⠘⠓⠀⠀⠙⢸⣸⡜⠀⠈⠠⣥⣯⠁⠃⠒⠃⠃⠓⠃⠃⣻⣿⢟⣿⣿⣿⣯⣿⣿⣿⣿⢽⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠲⠲⠓⠒⠒⠐⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠰⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡐⢿⠋⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢐⡜⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠩⣿⣯⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⣽⣽⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣀⠀⠀⠀⠀⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣷⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⠀⡀⠄⣔⢺⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢠⣶⣶⣿⣿⣿⣶⣤⣄⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠀⠀⢸⢿⡿⠛⠁⠀⠀⠀⢈⢙⢻⠇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠘⠘⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡁⣿⡇⡌⢰⣶⣶⣅⢢⠙⣿⡇⡄⠰⠶⠿⣿⡟⢀⢀⣴⣿⣿⣿⣷⡘⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠐⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣹⣿⣿⣿⠀⠇⣿⠃⠷⠀⣀⣀⣰⠂⠆⢸⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣾⣿⣿⣿⣯⣿⣿⡇⣷⢳⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢂⣾⣿⣿⠀⠆⣿⡃⡁⢿⣿⠿⢋⣰⢠⣿⠁⠃⠬⡷⠿⣿⣷⡀⡈⠻⠿⣿⠿⠟⠀⢘⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠘⠁⢒⠐⠂⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣤⣀⣿⣇⣢⣀⣀⣐⣮⣶⣿⣿⣄⣂⢀⣀⣀⣬⣿⣿⣮⣴⣂⣠⣐⣲⣵⣿⣿⡟⢻⣿⡿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣻⣿⣿⣿⠿⢿⠿⠿⠿⠿⠿⠛⠉⠉⠀⠀⢛⣻⣾⡶⠟⣛⠍⠁⠀⠀⠀⠀⠈⠉⠛⢿⣯⠉⣹⡏⣩⣥⡇⠠⣶⣦⢸⡟⠁⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣷⢰⢾⣽⣷⠀⢰⣿⣿⠀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠙⠟⠁⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣷⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠈⠙⠻⠿⠆⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢠⣿⠅⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣠⡀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣻⣿⣇⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡶⠒⠀⠀⠀⠀⠀⠹⠻⢿⣿⡆ ⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣻⣿⣿⣿⣿⣷⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠘⠚⠂ ⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⣀⣀⠀⡀⠀⢀⢀⣀⡀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⡅⢈⡍⠘⠋⠿⢿⣜⣟⣿⣿⣿⣷⣽⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠰⣻⣿⣿⣷⢲⣤⣴⢋⡩⠟⠻⢿⠟⠛⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⡯⢩⢩⣋⣭⡍⣁⡀⣀⡀⠀⡤⢤⢈⣉⢩⣉⢉⣉⡉⣉⡉⠉⡭⠍⣉⢉⡉⢈⡀⠀⣀⡀⣀⣈⡉⣉⡉⢩⢉⣁⠀⠠⢠⢀⣀⢠⡀⢨⠉⡍⣉⡉⡍⣉⣉⣍⡉⡉⡍⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡇⠇⠸⡼⠣⠋⠇⠇⠃⣣⠇⠀⠧⠘⠘⠍⠘⠜⠘⠪⠃⠇⠃⠀⠏⠁⠇⠁⠜⠀⠜⠀⠫⠁⠇⠇⠇⠭⠂⠸⠨⠕⠀⠀⠉⢸⣬⡌⠀⠈⢀⢡⣯⠁⠇⠢⠃⠇⠧⠇⠇⣻⣿⢟⣿⣿⣿⣯⣿⣿⣿⣿⢽⣿⣿⣿ ⣿⣿⣿⣿⣾⣶⣶⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠲⠲⠒⠒⠒⠐⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣾⣶⣾⣿⡇⠀⠀⠀⠀⠰⣶⠖⠀⠀⠀⠀⠀⠀⠐⠒⠶⢶⣶⣶⣿⣧⣿⣗⣽⢺⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡐⢿⠋⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣻⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢰⡞⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠅⣫⣥⣿⣿⣿⣿⣿⣿⡇⠀⠈⠈⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠤⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡧⢖⣷⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⡀⠀⠀⠀⠀⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣭⣷⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⠀⣀⢀⣤⢨⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣠⣦⣶⣷⣿⣷⣦⣤⡀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠀⠀⠙⣿⡿⠛⠁⠀⠀⠀⢈⢙⢻⠃⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠑⠙⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡁⣿⡇⡌⢰⣶⣶⣅⢢⠙⣿⡇⡄⠠⠶⠺⣾⡟⢀⢀⣴⣿⣿⣿⣷⡘⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⡂⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢀⢀⣾⣿⠀⠇⣿⡇⡆⣽⣿⣿⣿⠀⠇⣿⠃⠷⢀⣀⣀⣤⠆⠆⢸⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⣦⢣⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢂⣾⣿⣿⠀⠆⣿⡃⡁⢿⣿⠿⢋⣰⢠⣿⠁⠃⠸⡿⠿⣿⣷⡀⡈⠛⠿⣿⠿⠟⠀⢀⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠎⠁⢒⠐⠂⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣤⣀⣿⣇⣢⣀⣀⣐⣮⣶⣿⣿⣄⣂⠀⣀⣀⣬⣿⣷⣮⣴⣂⣠⣐⣲⣵⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣽⣿⣿⠿⢿⠿⠿⠿⠿⠿⠛⠋⠉⠀⠈⢿⣳⣾⣿⠟⣛⠍⠀⠀⠀⠀⠀⠈⠉⠛⢿⣯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠁⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣷⠰⣾⣿⣿⡄⢸⣿⣿⠀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠛⠛⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣷⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠈⠙⠾⠿⠆⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢠⣥⡇⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣠⡀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣻⣿⣇⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡶⠒⠀⠀⠀⠀⠀⠘⠻⢿⣿⠇ ⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣻⣿⣿⣿⣿⣷⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠠⠀⠀⠀⠘⠚⠁ ⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⣀⣀⠀⡀⠀⢀⢀⣀⡀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⡅⢉⡍⠘⠋⠿⢿⣜⣟⣿⣿⣿⣷⣽⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠰⣻⣿⣿⣷⢺⣤⣴⢋⡩⠟⠻⢿⠟⠛⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⡭⢩⣩⣋⣭⡍⣁⡀⢀⡀⠀⡤⢄⢈⡉⢩⡉⢩⢉⡉⣉⡉⠉⡭⠍⣉⢉⡉⢈⡀⠀⢀⡀⣀⣈⡉⣉⡉⢩⢉⡁⠀⢠⢠⠀⡀⢠⡀⢨⠉⡍⢉⡉⡍⣉⢉⣭⡉⡉⡍⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡇⠏⠹⡸⠧⠏⠇⠇⠇⣧⡇⠀⠧⠜⠨⠬⠸⠜⠸⠮⠇⠇⠇⠀⠏⠁⠇⠣⠜⠠⠜⠀⠣⠄⠇⠇⠇⠵⠆⠹⠨⠖⠀⠀⠩⢨⣬⡬⠄⠈⠉⣥⣭⠅⠇⠧⠇⠇⠧⠇⠇⣻⣿⢟⣿⣿⣿⣯⣿⣿⣿⣿⢽⣿⣿⣿ ⣿⣿⣷⣶⣶⣶⣶⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠲⠲⠒⠒⠒⠐⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣾⣶⣶⣷⡆⠀⠀⠀⠀⠰⣶⠖⠀⠀⠀⠀⠀⠀⠐⠒⠶⢶⣶⣶⣿⣧⣿⣗⣽⢺⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡐⢿⠋⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢐⡞⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠬⡝⣯⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⠈⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠤⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣡⣾⣵⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⢀⡀⠀⠀⠀⠀⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣭⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⠀⠀⢀⣅⣬⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣠⣶⣶⣷⣿⣿⣶⣤⡄⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠈⠀⢹⢿⡿⠛⠁⠀⠀⠀⢈⢙⢻⠇⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠐⠙⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡁⣿⡇⡌⢰⣶⣶⣅⢢⠙⣿⡇⡄⠀⠜⠻⣿⡏⢁⢀⣴⣿⣿⣿⣷⡘⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣽⣿⣿⣿⠀⠇⣿⠃⠷⢀⣀⣀⣰⠂⠆⢸⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣯⣿⣿⣿⣿⣻⣿⣿⡇⣦⢣⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢂⣾⣿⣿⠀⠆⣿⡃⡁⢿⣿⠿⢋⣰⢠⣿⠁⠃⠲⡿⠿⣿⣷⡀⡈⠻⠿⣿⠿⠟⠀⢐⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠘⠁⠐⠐⠒⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣤⣀⣿⣇⣢⣀⣀⣐⣮⣶⣿⣿⣄⣂⣀⣀⣀⣬⣿⣿⣮⣴⣢⣠⣐⣲⣵⣿⣿⡿⢿⣿⡿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⢿⣿⣿⣿⠿⢿⠿⠿⠿⠿⠿⠛⠋⠉⠀⠈⢻⣻⣾⣿⠟⣛⠍⠀⠀⠀⠀⠀⠈⠉⠛⢿⣯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠁⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⢰⣾⣽⣿⡀⢰⣿⣿⠀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠙⠟⠁⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠀⠙⠿⠿⠄⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢠⣿⠆⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⡄ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣻⣿⣇⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠶⠒⠀⠀⠀⠀⠀⠹⠻⢿⣿⠆ ⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣻⣿⣿⣿⣿⣷⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠘⠊⠃ ⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⣀⣀⠀⡀⠀⢀⢀⣀⡀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⡅⢉⡍⠘⠋⠿⢿⣜⣟⣿⣿⣿⣷⣽⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠰⣻⣿⣿⣷⢺⣤⣴⢋⡩⠟⠻⢿⠟⠛⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡟⡿⢩⣻⢛⣯⡍⣁⠀⢀⠀⠀⡤⢄⠈⡉⢩⡉⠩⢉⠉⣉⡉⠉⡭⡍⣉⠉⡉⠀⡀⠀⢀⠀⣀⢈⡉⣉⠉⢫⠛⡃⠀⢠⢀⠀⡀⢀⡀⢨⠉⡍⢉⠉⡍⢙⢙⣿⡙⡛⡟⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡇⠏⠹⡼⠧⠟⠇⠇⠇⠧⡇⠀⠧⠜⠸⠾⠸⠼⠸⠶⠇⠇⠇⠀⠏⠁⠇⠢⠜⠠⠜⠀⠧⠄⠇⠇⠇⠷⠆⠸⠨⠶⠀⠀⠩⢨⣬⡬⠀⠈⠉⣇⣧⠅⠇⠥⠇⠇⠧⠇⠇⣻⣿⢟⣿⣿⣿⣯⣿⣿⣿⣿⢽⣿⣿⣿ ⣿⣿⣷⣶⣶⣶⣶⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠲⠲⠒⠒⠒⠐⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣾⣶⣶⣷⡆⠀⠀⠀⠀⠰⣶⠖⠀⠀⠀⠀⠀⠀⠐⠒⠶⢶⣶⣶⣿⣧⣿⣗⣽⢺⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡐⣿⠋⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢰⡞⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡣⣿⣿⣿⣿⣽⣿⣿⣿⡇⠀⠈⠈⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠤⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢐⣼⣥⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣀⠀⠀⠀⠀⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣷⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⠀⣔⢈⣆⢪⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢀⣶⣶⣾⣾⣿⣶⣤⣄⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠈⠀⢩⣾⡿⠛⠁⠀⠀⠀⢈⢙⢻⠇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠘⠘⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡁⣿⡇⡌⢰⣶⣶⣅⢢⠙⣿⡇⡄⠀⠬⠾⣿⡛⢀⢀⣴⣿⣿⣿⣷⡘⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠐⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢀⢀⣾⣿⠀⠇⣿⡇⡆⣽⣿⣿⣿⠀⠇⣿⠃⠷⢀⣀⣀⣰⠂⠆⢸⣿⣿⣿⣿⣿⡇⢀⠀⢸⣿⣿⣿⣿⣿⣿⣟⣿⣿⡇⣧⢳⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢂⣾⣿⣿⠀⠆⣿⡃⡁⢿⣿⠿⢋⣰⢠⣿⠁⠃⠼⡿⠿⣿⣷⡀⡈⠛⠿⣿⠿⠟⠀⢘⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠘⠁⢒⠒⠂⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣤⣀⣿⣇⣢⣀⣀⣐⣮⣶⣿⣿⣄⣂⣀⣀⣀⣬⣿⣿⣮⣴⣢⣠⣐⣲⣵⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣽⣿⣿⠿⢿⠿⠿⠿⠿⠿⠛⠋⠉⠀⠈⢛⣻⣿⣿⠟⣛⠍⠁⠀⠀⠀⠀⠈⠉⠛⢿⣯⠉⣹⡏⣩⣥⡇⠠⣶⣦⢸⡟⠁⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣷⢰⠶⣿⣿⡀⢰⣿⣿⠀⠺⠃⠀⠀⠀⠀⠀⠀⠀⠙⠛⠁⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣷⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠀⠉⠿⠿⠆⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢠⣽⡇⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⡀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣻⣿⡇⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡶⠒⠀⠀⠀⠀⠀⠙⠻⢿⣿⡆ ⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣻⣿⣿⣿⣿⣷⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠠⠀⠀⠀⠘⠊⠀ ⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⣀⣀⠀⡀⠀⢀⢀⣀⡀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⡅⢉⡍⠘⠋⢿⢿⣜⣟⣿⣿⣿⣷⣽⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠰⣻⣿⣿⣷⣺⣤⣴⢋⡩⠟⠻⢿⠟⠛⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⡿⢻⡻⠛⢛⠟⠁⠀⠀⠀⠀⡀⢀⠈⠉⢉⠙⠩⠛⠛⠛⠛⠛⡯⡋⠋⠉⠉⠈⠀⠀⠀⠀⠀⠈⠛⠛⠛⢻⡛⠃⠀⢀⢀⠀⠀⢀⠀⢈⠉⡙⠙⠛⡟⠛⠛⡿⠛⠛⡟⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡇⠏⠹⡼⠯⠿⠇⠇⠇⠇⡇⠀⠇⠼⠸⠺⠸⠸⠸⠗⠇⠏⠇⠀⠗⠁⠇⠪⠽⠨⠘⠀⠗⠇⠇⠏⠇⠷⠇⠹⠸⠦⠀⠀⠩⢨⣨⡬⠀⠈⠩⢡⣧⠁⠇⠥⠇⠇⠧⠇⠇⣻⣿⢟⣿⣿⣿⣯⣿⣿⣿⣿⢽⣿⣿⣿ ⣿⣿⣷⣶⣶⣶⣶⣶⣶⣄⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠠⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣾⣶⣶⣷⡆⠀⠀⠀⠀⠠⣤⠖⠀⠀⠀⠀⠀⠀⠐⠒⠶⢶⣶⣶⣿⣧⣿⣗⣽⢺⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡐⣿⠋⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣺⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢐⡞⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣌⡁⣽⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣥⢴⡷⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣀⠀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣭⣷⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⢀⣄⢄⡄⣺⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⠟⢀⣴⣶⣾⣿⣿⣶⣤⣄⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡟⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠀⠀⢙⣿⡿⠛⠁⠀⠀⠀⢈⢙⠻⠏⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠘⠈⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡁⣿⡇⡌⢰⣶⣶⣅⢢⠙⣿⡇⡄⠠⠶⠺⣿⡟⢀⢂⣴⣿⣿⣿⣷⡘⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠐⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢀⢀⣾⣿⠀⠇⣿⡇⡆⣽⣿⣿⣿⠀⠇⣿⠃⠷⢀⣀⣀⣰⠂⠆⢸⣿⣿⣿⣿⣿⡇⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⣷⡶⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢂⣾⣿⣿⠀⠆⣿⡃⡁⢿⣿⠿⢋⣰⢠⣿⠁⠃⠸⡿⠿⣿⣷⡀⡈⠻⠿⣿⠿⠟⠀⢘⡄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠘⠁⠐⠒⠂⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣤⣀⣿⣇⣢⣀⣀⣐⣮⣶⣿⣿⣄⣂⣀⣀⣀⣬⣿⣿⣮⣴⣠⣠⣐⣲⣵⣿⣿⡿⠻⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣽⣿⣿⠿⢿⠿⠿⠿⠿⠿⠛⠋⠉⠀⠀⠙⣻⣷⣾⠟⣛⠍⠁⠀⠀⠀⠀⠈⠉⠛⢿⣯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠁⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣷⢠⣾⣨⣿⡀⢰⣿⣿⠀⠾⠋⠀⠀⠀⠀⠀⠀⠀⠉⠛⠁⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣧⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠀⠈⠽⠯⠆⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢠⣵⡁⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣠⡀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣻⣿⡇⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡖⠒⠀⠀⠀⠀⠀⠙⠿⢿⣿⠆ ⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣻⣿⣿⣿⣿⣷⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠘⠚⠁ ⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⣀⣀⠀⡀⠀⢀⢀⣀⡀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⡅⢉⡍⠘⠋⠿⣿⣜⣟⣿⣿⣿⣷⣽⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠰⣻⣿⣿⣷⣲⣤⣤⢋⡹⢟⣻⢿⠟⠛⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⡻⢛⣻⠛⣛⡛⠁⠀⠀⠀⠀⡀⣀⠘⠛⢛⠛⠛⠛⠛⠛⠛⠛⣛⡛⠛⠛⠋⠂⠀⠀⠀⠀⠀⠘⠛⠛⠛⢛⠛⠃⠀⢀⢀⠀⠀⢀⠀⢚⠛⡛⠛⠛⡟⠛⠛⡟⠛⠛⡟⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡇⡏⢹⡼⢏⠯⡇⡏⠇⠏⡇⠀⠇⠸⠸⡻⠸⡹⠸⢟⠇⡏⠇⠀⡗⠃⡏⠪⠱⠨⠱⠀⠟⠃⠏⡏⠇⣟⠅⢸⢸⡫⠀⠀⠪⢨⣩⡬⡁⠈⠡⢥⣿⠃⡇⢍⠏⡏⢇⡇⠇⣻⣿⢟⣿⣿⣿⣯⣿⣿⣿⣿⢽⣿⣿⣿ ⣿⣿⣷⣶⣶⣶⣶⣶⣦⣄⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣾⣶⣶⣷⡆⠀⠀⠀⠀⠠⣤⠄⠀⠀⠀⠀⠀⠀⠀⠒⠶⢶⣶⣶⣿⣧⣿⣗⣽⢻⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡐⢿⠋⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢐⡞⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢈⡈⣹⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⠈⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠤⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⡠⢴⣹⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣀⠀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⠀⡀⢤⣅⢲⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢀⣴⣶⣾⣾⣿⣶⣤⣄⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠀⠁⠙⣿⡿⠛⠉⠀⠀⠀⢈⢙⢻⠏⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠘⢈⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡁⣿⡇⡌⢰⣶⣶⣅⢢⠙⣿⡇⡄⠠⠤⠽⣿⡏⢀⢂⣴⣿⣿⣿⣷⡘⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠰⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢀⢀⣾⣿⠀⠃⣿⡇⡆⣽⣿⣿⣿⠀⠇⣿⠃⠷⢀⣀⣀⣴⠂⠆⢸⣿⣿⣿⣿⣿⡇⢀⠀⢸⣿⣿⣿⣿⣿⣿⣟⣿⣿⡗⣷⢢⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢂⣾⣿⣿⠀⠆⣿⡃⡁⢿⣿⠿⢋⣰⢠⣿⠁⠃⠸⡿⠿⣿⣷⡀⡈⠻⠿⣿⠿⠟⠀⢈⡄⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠘⠁⢒⠒⠀⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣤⣀⣿⣇⣢⣀⣀⣐⣮⣶⣿⣿⣄⣂⢀⢀⣀⣬⣿⣿⣮⣴⣢⣠⣐⣲⣵⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⠿⢿⠿⠿⠿⠿⠿⠛⠋⠉⠀⠈⢛⣻⣿⣿⠟⣛⠝⠁⠀⠀⠀⠀⠈⠉⠛⢿⣯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠁⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣟⢀⡾⡿⣿⠀⢰⣿⣿⠀⠾⠋⠀⠀⠀⠀⠀⠀⠀⠙⠛⠁⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣯⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠈⠑⠼⠿⠆⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢠⣷⡇⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⡄ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣻⣿⡇⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡶⠒⠀⠀⠀⠀⠀⠹⠻⢻⣿⡁ ⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣻⣿⣿⣿⣿⣷⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠘⠚⠁ ⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⡀⣀⣀⣀⡀⣀⣀⠀⡀⠀⢀⢀⣀⡀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⡅⢉⡍⠘⠋⠿⢿⣜⣟⣿⣿⣿⣷⣽⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠰⣻⣿⣿⣷⢺⣤⣴⢋⡩⠟⠻⢿⠟⠛⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⡻⢛⢛⠛⣛⡛⠁⠀⠀⠀⠀⣀⡀⠘⠛⢛⠛⢛⠛⠛⠛⠛⠛⣛⡛⠛⠛⠋⠊⠀⠀⠀⠀⠀⠘⠛⠛⠛⢛⠛⠃⠀⢀⢀⠀⠀⢀⠀⢚⠛⡛⠛⠛⡛⠛⠛⣛⠛⠛⡛⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶ ⣿⣿⡇⡗⢻⢼⢏⣿⡇⡏⡇⣎⡇⠀⣇⡸⢘⣓⢸⡱⢸⣜⡇⡏⡇⠀⡗⠂⡏⢎⡱⢈⡱⠀⢞⡃⡏⡏⡇⣋⡅⢹⢘⡣⠀⠈⢊⢠⣡⣬⡁⠈⠠⣇⣎⡃⡇⣏⠎⡏⣇⡇⡇⣻⣿⢟⣿⣿⣿⣯⣿⣿⣿⣿⢽⣿⣿⣿ ⣿⣿⣧⣦⣶⣤⣤⣤⣤⣄⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠠⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣬⣤⣤⣧⡄⠀⠀⠀⠀⠠⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠤⢤⣤⣤⣿⣧⣿⣗⣽⢺⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡐⣿⠋⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢐⡞⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡥⣿⣿⣿⣽⣿⣿⣿⣿⡇⠀⠈⠊⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢀⢀⣾⣽⢾⣵⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⡀⠀⠀⠀⠀⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣭⣷⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣷⣿⣿⣿⠀⣀⢄⢥⢴⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢠⣤⣴⣶⣾⣿⣦⣤⡄⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡟⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠁⠀⠁⢩⢟⡷⠛⠁⠀⠀⠀⢈⢙⠻⠇⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠐⠙⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡁⣿⡇⡌⢰⣶⣶⣅⢢⠙⣿⡇⡄⠰⠯⠿⣿⡛⢀⢀⣴⣿⣿⣿⣷⡙⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠐⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢁⣾⣿⠀⠇⣿⡇⡆⣹⣿⣿⣿⠀⠇⣿⠃⠷⢀⣀⣀⣴⠂⠆⢸⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣯⣿⣿⣿⣿⣛⣿⣿⡇⣷⢦⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡃⡁⢿⣿⠿⢋⣰⢠⣿⠁⠃⠸⡿⠿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠁⢀⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠈⠁⢀⠒⠀⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣤⣀⣿⣇⣢⣀⣀⣐⣾⣶⣿⣿⣄⣂⢀⣀⣀⣬⣿⣿⣮⣴⣂⣠⣐⣲⣵⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⠿⢿⠿⠿⠿⠿⠿⠛⠋⠉⠀⠘⢟⣳⣾⡿⠟⣛⡽⠁⠀⠀⠀⠀⠈⠉⠛⢿⣯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠁⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣟⣿⣿⣿⢐⣺⣼⣿⡀⢰⣿⣿⠀⠾⠋⠀⠀⠀⠀⠀⠀⠀⠛⠟⠁⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣯⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠙⠽⠿⠇⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⢠⣿⡆⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⡄ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣻⣿⣇⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡶⠒⠀⠀⠀⠀⠀⠹⠻⢿⣿⠆ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⣿⣻⣿⣿⣷⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠘⠚⠀ ⣿⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⡀⣀⣀⣀⣀⣀⣀⠀⡀⠀⢀⢀⣀⡀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⡁⢉⡍⠘⠋⠿⣿⣜⣟⣿⣿⣿⣷⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢰⣻⣿⣿⣷⢶⣤⣴⢋⡩⠟⢻⢿⢟⠛⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡟⡛⢛⣛⠛⣛⡛⠁⠀⠀⠀⠀⣀⡀⠘⠛⢛⠛⢛⠛⠛⠛⠛⠛⣛⡛⠛⠛⠋⠂⠀⠀⠀⠀⠀⠘⠛⠛⠛⢛⡛⠃⠀⢀⠀⠀⠀⢀⠀⢚⠛⡛⠛⠛⡛⠛⠛⣛⠛⠛⡛⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶ ⣿⣿⡇⡗⢻⢼⣎⣏⡇⡏⡆⣎⡆⠀⣇⡸⢐⣑⢸⣱⢰⣌⡇⡏⠇⠀⡗⠂⡏⢌⡱⢀⡱⠀⢎⡀⡏⡎⡇⣫⡄⢹⢘⣥⠀⠈⢈⢰⣡⣬⡁⠈⠒⠃⣮⡀⡇⣊⡎⡏⣇⡇⡇⣻⣿⢟⣿⣿⣿⣯⣿⣿⣿⣿⢽⣿⣿⣿ ⣿⣿⣧⣦⣶⣤⣤⣤⣤⣄⠀⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠠⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣬⣤⣤⣧⡄⠀⠀⠀⠀⠠⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠤⢤⣤⣤⣿⣧⣿⣗⣽⢺⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡐⣿⠋⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢰⡞⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡡⣽⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⠊⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡐⢈⡁⢿⣷⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⡀⠀⠀⠀⠀⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣭⣷⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣷⣿⣿⣿⠀⠁⢺⣵⢺⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢠⣶⣶⣿⣿⣿⣶⣤⡄⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡟⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠈⠁⠀⢑⢿⡿⠛⠁⠀⠀⠀⢉⢙⢻⠏⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠐⠙⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡁⣿⡇⡌⢰⣶⣶⣅⢢⠙⣿⡇⡄⠠⠦⠿⣿⡋⢀⢀⣴⣿⣿⣿⣷⡙⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠐⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢁⣾⣿⠀⠇⣿⡇⡆⣹⣿⣿⣿⠀⠇⣿⠃⠷⢀⣐⣀⣴⠂⠆⢸⣿⣿⣿⣿⣿⡇⢀⠀⢸⣿⣷⣾⣿⣿⣿⣯⣿⣿⡇⣶⢳⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡃⡁⢿⣿⠿⢋⣰⢠⣿⠁⠃⠸⠿⠿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠁⢘⡄⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⠁⠐⠐⠒⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣤⣀⣿⣇⣢⣀⣀⣐⣾⣶⣿⣿⣄⣂⣀⣀⣀⣬⣿⣿⣮⣴⣂⣠⣐⣲⣵⣿⣿⡿⢻⣿⡿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⣿⣽⣿⣿⠿⢿⠿⠿⠿⠿⠿⠛⠋⠉⠀⠀⢛⣻⣿⣿⠟⣛⠍⠁⠀⠀⠀⠀⠈⠉⠛⠿⣯⠉⣹⡏⣩⣥⡇⠠⣶⣦⢸⡟⠁⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣟⣿⣿⣷⠀⡾⣾⣿⡀⢰⣿⣿⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠙⠛⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠉⠾⠿⠅⠸⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⢠⣽⡆⠀⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣠⡄ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣻⣿⣇⠀⠀⠀⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡖⠒⠀⠀⠀⠀⠀⠙⠻⢻⣿⠄ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⣿⣻⣿⣿⣷⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠘⠊⠂ ⣿⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⡀⣀⣀⣀⡀⣀⣀⠀⡀⠀⢀⢀⣀⡀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⡁⢉⡉⠘⠋⠿⣿⣜⣟⣿⣿⣿⣷⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢰⣻⣿⣿⣷⢲⣤⣴⢋⡩⠟⢻⢿⢟⠛⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⡿⢿⢿⠿⢿⡿⠁⠀⠀⠀⠀⣀⠀⠘⠛⠻⠛⢿⠟⠿⠿⠿⠟⣿⡟⠛⠛⠋⠂⠀⠀⠀⠀⠀⠘⠟⠿⠟⢿⡿⠇⠀⠀⠀⠀⠀⠀⠀⠚⠛⡛⠿⠿⡿⠿⠿⣿⠿⠿⡿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶ ⣿⣿⡇⡗⢺⢴⣎⣛⡇⡆⡆⣆⡆⠀⣇⣸⢰⣴⢸⣱⢰⣤⡆⡇⠆⠀⡇⠃⡆⢔⡰⢐⡰⠀⣦⡆⡆⡆⡆⣮⡄⢹⢰⣥⠀⠈⢈⢰⣰⣬⡀⠈⠐⣧⣦⠀⡇⣊⡎⡇⣆⡇⡇⣻⣿⢟⣿⣿⣿⣯⣿⣿⣿⣿⢽⣿⣿⣿ ⣿⣿⣧⣤⣶⣤⣤⣤⣤⣄⠀⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣬⣤⣤⣧⡄⠀⠀⠀⠀⠀⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⣤⣤⣿⣧⣿⣗⣽⢺⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡐⣿⠋⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢰⡞⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣈⣩⣝⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⠊⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠀⢈⣷⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⣀⠀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣭⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣷⣿⣿⣿⠰⡌⠀⣥⢸⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⣴⣶⣿⣿⣿⣷⣦⣄⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡟⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠀⠀⢙⢿⡿⠛⠁⠀⠀⠀⢈⢙⢻⡟⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣧⠘⠈⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡁⣿⡇⡌⢰⣶⣶⣅⢢⠙⣿⡇⡄⠰⠶⠿⣿⡟⢀⢀⣴⣿⣿⣿⣷⡙⠀⠀⠀⣿⣿⢿⣿⣿⣿⣿⣿⣿⡏⠀⠐⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢁⣾⣿⠀⠇⣿⡇⡆⣹⣿⣿⣿⠀⠇⣿⠃⠷⢀⢀⣀⣴⠂⠆⢸⣿⣿⣿⣿⣿⡇⢀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣷⢶⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡃⡁⢿⣿⠿⢋⣰⢠⣿⠁⠃⠹⡿⠿⣿⣷⡀⡈⠻⠿⣿⠿⠟⠁⢘⡄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠐⠁⢐⠒⠂⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣤⣀⣿⣇⣢⣀⣀⣐⣾⣶⣿⣿⣄⣂⣀⣀⣀⣬⣿⣿⣮⣴⣂⣠⣐⣲⣵⣿⣿⡿⠻⣿⣟⢿⣿⢿⣿⣿⡿⠁⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣽⣿⣿⠿⢿⠿⠿⠿⠿⠿⠛⠋⠉⠀⠀⠙⣻⣿⣿⠟⣛⠍⠁⠀⠀⠀⠀⠈⠉⠛⠿⣯⠉⣹⡏⣩⣥⡇⠠⣶⣦⢸⡟⠁⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣟⣿⣿⣿⠐⣮⣿⣿⡀⢰⣿⣿⠀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠉⠛⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣷⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠙⠿⠿⠃⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⢠⣽⠆⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⡀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣻⣿⣇⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡶⠒⠀⠀⠀⠀⠀⠙⠻⢻⣿⠆ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⣿⣻⣿⣿⣷⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠘⠎⠃ ⣿⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⡀⣀⣀⣀⣀⣀⣀⠀⡀⠀⢀⢀⣀⡀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⡁⢉⡉⠘⠋⠿⣿⣜⣟⣿⣿⣿⣷⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢰⣻⣿⣿⣷⢲⣤⣴⣋⡩⠟⢻⢿⢟⠟⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⠿⠿⣿⠿⢿⡿⠁⠀⠀⠀⠀⠀⠀⠘⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠋⠂⠀⠀⠀⠀⠀⠘⠿⠿⠿⠿⡿⠇⠀⠀⠀⠀⠀⠀⠀⠺⠿⠿⠿⠿⡿⠿⠿⣿⠿⠿⡿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶ ⣿⣿⡇⡗⢺⣰⣖⣛⡆⡖⡆⡆⡆⠀⡇⢹⢰⢶⢸⢲⢰⡶⡆⡖⡆⠀⡧⠇⡖⢔⢢⢐⢢⠀⡦⠆⡆⡖⡆⣶⡂⢸⢰⣆⠀⠈⢌⢰⣰⣼⠀⠈⠀⣧⣦⠆⡇⡒⡖⡇⣆⡆⡇⣻⣿⢟⣿⣿⣿⣯⣿⣿⣿⣿⢽⣿⣿⣿ ⣿⣿⣧⣥⣾⣤⣤⣤⣤⣀⠀⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣬⣤⣤⣧⡅⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⣤⣤⣿⣧⣿⣗⣽⢺⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡐⣿⠋⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢰⡞⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡩⢿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⠊⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⣎⣷⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⣀⠀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣭⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣷⣿⣿⣿⠀⠐⣒⡠⣾⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⣴⣶⣿⣿⣿⣷⣶⣤⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡟⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠉⠁⢹⢿⡿⠛⠁⠀⠀⠀⢈⢙⢻⡟⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⠘⢈⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡁⣿⡇⡌⢰⣶⣶⣅⢢⠙⣿⡇⡄⠐⠷⠻⣽⡛⢀⢀⣴⣿⣿⣿⣷⡙⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠐⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢁⣾⣿⠀⠇⣿⡇⡆⣹⣿⣿⣿⠀⠇⣿⠃⠷⢀⢀⣀⣰⠂⠆⢸⣿⣿⣿⣿⣿⡇⢠⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣷⡾⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡃⡁⢿⣿⠿⢋⣰⢠⣿⠁⠃⠱⡾⠿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢘⡄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠘⠀⢐⠒⠂⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣤⣀⣿⣇⣢⣀⣀⣐⣾⣶⣿⣿⣄⣂⢀⣀⣀⣬⣿⣿⣮⣴⣂⣠⣐⣲⣵⣿⣿⡿⢻⣿⣟⣿⣿⣿⣿⣿⡿⠃⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣽⣿⣿⠿⢿⠿⠿⠿⠿⠿⠛⠋⠉⠀⠀⠙⣻⣿⣿⠟⣛⠍⠁⠀⠀⠀⠀⠈⠉⠛⢿⣯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠁⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣟⣿⣿⣿⢰⡾⣾⣿⠀⢰⣿⣿⠀⠞⠃⠀⠀⠀⠀⠀⠀⠀⠈⠙⠁⠈⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠙⠻⠿⠆⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢠⣿⠇⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣠⡀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣻⣿⣇⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣶⠒⠀⠀⠀⠀⠀⠙⠻⢿⣿⠂ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⣿⣻⣿⣿⣷⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠘⠚⠀ ⣿⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⡀⣀⣀⣀⡀⣀⣀⠀⡀⠀⢀⢀⣀⡀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⡁⢉⡉⠘⠋⠿⣿⣜⣟⣿⣿⣿⣷⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢰⣻⣿⣿⣷⢲⣤⣴⣋⡩⠟⢻⢿⢟⠟⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⠿⠿⡿⠿⠿⠿⠅⠀⠀⠀⠀⠀⠀⠸⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠯⠂⠀⠀⠀⠀⠀⠸⠿⠿⠿⠿⡿⠇⠀⠀⠀⠀⠀⠀⠠⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶ ⣿⣿⡇⡧⢼⣼⡖⣟⡇⡖⡆⡖⡆⠀⡏⢱⢰⠶⢸⢢⢸⡲⡆⡖⡆⠀⡯⠅⡖⡔⢢⠐⢢⠀⡴⠆⡖⡖⡆⠶⡂⢸⠰⢖⠀⠈⠌⢠⣢⣼⠂⡌⠄⣅⣴⠀⡇⡖⡔⡟⡆⡆⡇⣻⣿⢟⣿⣿⣿⣯⣿⣿⣿⣿⢽⣿⣿⣿ ⣿⣿⣇⣁⣚⣈⣈⣉⣁⣁⠁⠚⠃⠀⠉⠁⠀⠉⠈⠁⠈⠈⠁⠁⠀⠀⠁⠀⠁⠈⠁⠈⠁⠀⠈⠁⠁⣁⣁⣉⣀⣈⣋⡁⠀⠀⠈⠀⠁⣀⠁⠀⠀⠀⠈⠀⠁⠉⠀⠁⢉⣁⣁⣿⣧⣿⣗⣽⢺⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡐⣿⠋⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢰⡞⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠨⣯⣿⣿⣿⣿⣿⣿⣿⡇⠀⠨⠊⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢈⡡⣨⣽⣿⣷⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⣀⡀⠀⠀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣭⣷⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣷⣿⣿⣿⠀⣀⣄⣅⢸⡵⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢁⣴⣾⣿⣿⣿⣿⣶⣤⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡟⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠈⠀⠹⢻⡿⠛⠉⠀⠀⠀⢈⢙⢻⡟⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣷⠈⠈⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡁⣿⡇⡌⢰⣶⣶⣅⢢⠙⣿⡇⡄⠀⠖⠫⣿⡛⢀⢀⣴⣿⣿⣿⣷⡙⢀⠁⡀⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⠀⠐⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢁⣾⣿⠀⠇⣿⡇⡆⣹⣿⣿⣿⠀⠇⣿⠃⠷⢀⣀⣀⣴⠂⠆⢸⣿⣿⣿⣿⣿⡇⢰⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣶⡼⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡃⡁⢿⣿⠿⢋⣰⢠⣿⠁⠃⠹⣿⠿⣿⣷⡀⡈⠛⠿⣿⡿⠟⠁⢘⡄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠑⠁⠒⠒⠂⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣤⣀⣿⣇⣢⣀⣀⣐⣾⣶⣿⣿⣄⣂⣀⣀⣀⣬⣿⣿⣮⣴⣢⣠⣐⣲⣵⣿⣿⡿⠻⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡨⡿⣿⣿⣿⠿⢿⠿⠿⠿⠿⠿⠛⠋⠉⠀⠀⠙⣻⣿⡿⠟⣛⠍⠁⠀⠀⠀⠀⠈⠉⠛⠿⣯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠁⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣟⣿⣿⣿⠰⢾⣽⣿⠀⢰⣿⣿⠀⠾⠋⠀⠀⠀⠀⠀⠀⠀⠈⠙⠁⠘⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠙⠻⠿⠄⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⢰⣿⡄⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣠⡀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣻⣿⣇⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡶⠒⠀⠀⠀⠀⠀⠹⠿⢿⣿⡇ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⣿⣻⣿⣿⣷⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠘⠚⠃ ⣿⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⡀⣀⣀⣀⣀⣀⣀⠀⡀⠀⢀⢀⣀⡀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⡁⢉⡉⠘⠋⠿⣿⣜⣟⣿⣿⣿⣷⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢰⣻⣿⣿⣷⢲⣤⣴⣋⡩⠟⢻⢿⢟⠟⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⠿⠿⠿⠿⠿⠿⠅⠀⠀⠀⠀⠀⠀⠸⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠯⠂⠀⠀⠀⠀⠀⠸⠿⠿⠿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠠⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶ ⣿⣿⡇⡧⢼⣼⡔⣯⡇⡖⡆⡔⡆⠀⡏⢱⠰⠢⢸⢢⢸⡐⡆⡖⡆⠀⡯⠅⡖⡐⢢⠐⢢⠀⡔⠂⡖⡔⡆⢖⡂⢸⠰⣂⠀⠈⠌⢠⣠⣼⠀⡌⠤⣅⣤⠀⡇⡖⡔⡟⡆⡆⡇⣻⣿⢟⣿⣿⣿⣯⣿⣿⣿⣿⢽⣿⣿⣿ ⣿⣿⣇⣃⣚⣈⣉⣉⣁⣁⠁⠛⠃⠀⠉⠁⠈⠉⠈⠁⠈⠉⠁⠁⠀⠀⠁⠀⠁⠈⠁⠈⠁⠀⠈⠁⠁⣁⣁⣉⣁⣘⣋⡁⠀⠀⠈⠀⠁⣈⠁⠀⠀⠀⠈⠁⠁⠉⠁⠁⢉⣁⣁⣿⣧⣿⣗⣽⢺⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡐⣿⠋⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢰⡜⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢌⡍⣹⣭⣿⣿⣿⣿⣿⣿⡇⠀⠈⠊⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⢞⣷⣿⣿⣿⣿⣿⣿⣿⣿⣧⠄⠀⠀⠀⠀⣀⡀⠀⠀⠀⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣭⣷⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣷⣿⣿⣿⠀⢀⢄⣧⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⢠⣶⣿⣿⣿⣿⣿⣦⣄⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡟⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⡀⠈⢑⢿⡿⠛⠉⠀⠀⠀⠈⢙⢻⣿⠁⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⠀⠘⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡁⣿⡇⡌⢰⣶⣶⣅⢢⠙⣿⡇⡄⠀⠿⠿⣿⡟⢀⢀⣴⣿⣿⣿⣷⡘⢀⠁⣤⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢁⣾⣿⠀⠇⣿⡇⡆⣹⣿⣿⣿⠀⠇⣿⠃⠷⢀⣀⣀⣰⠂⠆⢸⣿⣿⣿⣿⣿⡇⢰⠀⠇⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣧⣤⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡃⡁⢿⣿⠿⢋⣰⢠⣿⠁⠃⠨⡿⠿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢘⡄⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠉⠀⠐⠐⠒⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣤⣀⣿⣇⣢⣀⣀⣐⣾⣶⣿⣿⣄⣂⢀⣀⣀⣬⣿⣿⣮⣴⣠⣠⣐⣲⣵⣿⣿⡿⠋⢿⣿⣿⠿⢿⣿⣿⣿⠟⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣿⣿⣿⠿⢿⠿⠿⠿⠿⠿⠛⠋⠉⠀⠀⠈⢻⣿⣿⠟⣛⣭⠋⠀⠀⠀⠀⠈⠉⠻⢿⣯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠁⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣟⣿⣿⣿⠰⣾⣾⣷⠀⢰⣿⣿⠀⠾⠋⠀⠀⠀⠀⠀⠀⠀⠈⠙⠁⠘⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠙⠼⠿⠆⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⢠⣵⠇⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⡄ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣻⣿⣇⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡶⠒⠀⠀⠀⠀⠀⠙⠻⢻⣿⡆ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⣿⣻⣿⣿⣷⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠘⠚⠂ ⣿⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⣀⣀⠀⡀⠀⢀⢀⣀⡀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⡁⢉⡉⠘⠋⠿⣿⣜⣟⣿⣿⣿⣷⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢰⣻⣿⣿⣷⢲⣤⣴⣋⡩⠟⢻⢿⢟⠟⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠅⠀⠀⠀⠀⠀⠀⠸⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠯⠂⠀⠀⠀⠀⠀⠸⡿⣿⡿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠠⠾⠿⠿⠿⠿⠿⢿⢿⢿⢿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶ ⣿⣿⡇⡧⢼⣼⡔⣯⡇⡖⡄⡔⡄⠀⡏⢰⢠⣢⢸⢢⢨⣐⡄⡖⡆⠀⡏⠇⡖⡠⢢⠀⢢⠀⡔⠀⡖⡄⡆⢖⡀⢹⢠⣂⠀⠀⠄⢠⣠⣴⠀⡌⠤⣥⣤⠀⡇⠔⡔⡟⡆⡆⡇⣻⣿⢟⣿⣿⣿⣯⣿⣿⣿⣿⢽⣿⣿⣿ ⣿⣿⣇⣃⣚⣈⣉⣉⣁⣁⠁⠉⠃⠀⠉⠁⠈⠉⠈⠉⠈⠉⠁⠁⠁⠀⠁⠀⠁⠈⠁⠈⠁⠀⠉⠁⠁⣁⣁⣉⣁⣈⣋⡍⠀⠀⠈⠀⠈⣈⠀⠀⠀⠀⠀⠀⠁⠉⠁⠁⢉⣁⣁⣿⣧⣿⣗⣽⢺⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡐⣿⠋⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢐⡜⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠉⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⠈⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢠⡰⣎⣵⣿⣿⣿⣿⣿⣿⣿⣿⣧⠄⠀⠀⠀⢀⡀⠀⠀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣽⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣷⣿⣿⣿⠠⣀⢠⣄⣾⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⣠⣶⣿⣿⣿⣿⣶⣤⡀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡟⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠈⠈⠀⠹⣾⣿⠛⠁⠀⠀⠀⢈⢙⠻⡿⠁⢰⣿⣿⣿⣿⣿⣿⣿⣿⣷⠄⠊⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡁⣿⡇⡌⢰⣶⣶⣅⢢⠙⣿⡇⡄⠠⠴⠿⣾⡟⢀⢀⣴⣿⣿⣿⣷⡙⢀⠁⡄⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠂⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢁⣾⣿⠀⠇⣿⡇⡆⣹⣿⣿⣿⠀⠇⣿⠃⠷⢀⣐⣀⣤⠂⠆⢸⣿⣿⣿⣿⣿⡇⢰⠀⠇⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⢰⡔⡄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡃⡁⢿⣿⠿⢋⣰⢠⣿⠁⠃⠼⡿⠿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢘⡄⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠈⠡⠁⢐⠐⠒⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣤⣀⣿⣇⣢⣀⣀⣐⣾⣶⣿⣿⣄⣂⣀⣀⣀⣬⣿⣿⣮⣴⣂⣠⣐⣲⣵⣿⣿⡿⠛⣿⣿⣻⣿⣿⣿⣿⣿⠇⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⠿⢿⠿⠿⠿⠿⠿⠛⠋⠉⠀⠀⠘⢿⣿⣿⠟⣛⡽⠁⠀⠀⠀⠀⠈⠉⠛⢿⣯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠁⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣟⣿⣿⣷⢰⣾⣿⣿⠀⢰⣿⣿⠀⠼⠋⠀⠀⠀⠀⠀⠀⠀⠈⠙⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣧⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠁⠾⠿⠇⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⢠⣭⠇⠀⢿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣻⣿⡇⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡶⠒⠀⠀⠀⠀⠀⠘⠻⢻⣿⡄ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⣿⣻⣿⣿⣷⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠘⠚⠃ ⣿⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⡀⠀⢀⢀⣀⡀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⡁⢉⡉⠘⠋⠿⣿⣜⣟⣿⣿⣿⣷⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢰⣻⣿⣿⣷⢲⣤⣴⣋⡩⠟⢻⢿⢟⠟⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠅⠀⠀⠀⠀⠀⠀⠸⠿⠿⢿⢿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠯⠂⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠠⠾⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶ ⣿⣿⡇⡧⢼⣨⡤⣗⡅⡄⡄⡄⡄⠀⡆⢰⢠⣠⠰⢠⢠⣄⡄⡤⡄⠀⣎⠆⡄⡠⢤⠠⢠⠀⣄⡄⡄⡤⡄⣄⡄⢹⢠⡀⠀⠐⠄⢠⣠⣤⠀⡄⠠⣄⣤⠄⡇⠤⡄⡏⡄⡄⡇⣻⣿⢟⣿⣿⣿⣯⣿⣿⣿⣿⢽⣿⣿⣿ ⣿⣿⣇⣁⣊⣈⣉⣉⣁⡁⠁⠡⠃⠀⠁⠉⠈⠈⠈⠈⠈⠁⠁⠁⠁⠀⠁⠀⠁⠈⠀⠈⠀⠀⠁⠀⠁⣁⣁⣉⣁⣈⣋⡉⠀⠀⠈⠈⠈⠈⠀⠀⠀⠀⠁⠀⠁⠉⠁⠁⠉⣁⣁⣿⣧⣿⣗⣽⢺⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡐⣿⠋⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢐⡜⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡙⢭⣽⣿⣿⣿⣿⣿⣿⡇⠀⠈⠈⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡀⢈⣑⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⢀⣀⠀⠀⠀⠀⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣭⣷⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣷⣿⣿⣿⠀⣠⠁⡒⢾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢠⣶⣾⣿⣿⣿⣶⣤⣄⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡟⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠈⠀⠈⢸⣿⡿⠛⠁⠀⠀⠀⠈⢙⠻⠏⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠐⠙⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡁⣿⡇⡌⢰⣶⣶⣅⢢⠙⣿⡇⡄⠐⠴⠿⣿⡟⢀⢀⣴⣿⣿⣿⣷⡘⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠐⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢁⣾⣿⠀⠇⣿⡇⡆⣹⣿⣿⣿⠀⠇⣿⠃⠷⢀⣀⣀⣔⠂⠆⢸⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣷⣿⣿⣿⣿⣭⣿⣿⡇⣦⣣⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡃⡁⢿⣿⠿⢋⣰⢠⣿⠁⠃⠽⡿⠿⣿⣷⡀⡈⠛⠿⣿⡿⠟⠀⢐⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠉⠘⠁⢐⠐⠂⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣤⣀⣿⣇⣢⣀⣀⣐⣾⣶⣿⣿⣄⣂⣀⣀⣀⣬⣿⣿⣮⣴⣂⣠⣐⣲⣵⣿⣿⡿⢿⣿⡿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡇⠀ 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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡐⣿⠋⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢰⡞⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠄⣯⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⠈⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⡐⣮⣷⣾⣿⣿⣿⣿⣿⣿⣿⣧⠀⠁⠀⠀⢀⡀⠀⠀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣭⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣷⣿⣿⣿⠠⠅⠐⣥⣽⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⣴⣾⣿⣿⣿⣿⣶⣦⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡟⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⡀⠀⠙⢾⡿⠛⠉⠀⠀⠀⢈⢙⢻⡿⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠊⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡁⣿⡇⡌⢰⣶⣶⣅⢢⠙⣿⡇⡄⠀⠴⠶⣿⠚⢀⢀⣴⣿⣿⣿⣷⡘⢀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠐⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢁⣾⣿⠀⠇⣿⡇⡆⣹⣿⣿⣿⠀⠇⣿⠃⠷⢀⣀⣀⣰⠆⠆⢸⣿⣿⣿⣿⣿⡇⢀⠀⠀⣿⣿⣾⣿⣿⣿⣯⣿⣿⡿⣶⡼⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡃⡁⢿⣿⠿⢋⣰⢠⣿⠁⠃⠻⡿⠿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢘⡄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠱⠁⢐⠒⠂⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣤⣀⣿⣇⣢⣀⣀⣐⣾⣶⣿⣿⣄⣂⣀⣀⣀⣬⣿⣿⣮⣴⣢⣠⣐⣲⣵⣿⣿⡿⠻⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⢻⣿⣿⣿⠿⢿⠿⠿⠿⠿⠿⠛⠉⠉⠀⠀⠙⣻⣿⣿⠟⣛⠍⠁⠀⠀⠀⠀⠈⠉⠛⢿⣯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠁⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣟⣿⣿⣷⠐⣾⣿⣿⠀⢸⣿⣿⠀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠉⠺⠿⠄⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⢠⣭⡅⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣠⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣻⣿⣇⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡶⠒⠀⠀⠀⠀⠀⠙⠻⢿⣿⡄ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⣿⣻⣿⣿⣷⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠘⠚⠂ ⣿⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⣀⣀⠀⡀⠀⢀⢀⣀⡀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀ ⡁⢉⡉⠘⠋⠿⣿⣜⣟⣿⣿⣿⣷⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢰⣻⣿⣿⣷⢲⣤⣴⣋⡩⠟⢻⢿⢟⠟⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠅⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠂⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶ ⣿⣿⡇⣆⣰⣴⡠⣖⡆⡤⡄⡠⡄⠀⡖⢢⢠⣄⢰⢄⢰⢠⡄⡤⡄⠀⣖⡂⡤⡠⢄⠠⢄⠀⣠⡄⡤⡤⡄⡤⠄⢰⢠⡄⠀⠀⡀⢠⣤⣤⠄⡄⣠⡂⣤⠀⡆⡤⡠⡶⡄⡄⡆⣻⣿⢟⣿⣿⣿⣯⣿⣿⣿⣿⢽⣿⣿⣿ ⣿⣿⡇⠃⠚⠘⠓⠃⠃⠃⠃⠷⠇⠀⠓⠊⠐⠒⠘⠊⠘⠓⠃⠃⠁⠀⠃⠀⠃⠑⠊⠐⠊⠀⠑⠂⠃⠃⠃⠚⢃⠘⠓⠊⠀⠀⠐⠐⠒⠐⠂⠐⠀⠂⠐⠂⠃⠓⠁⠃⠓⠃⠃⣿⣧⣿⣗⣽⢺⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡐⣿⠋⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣺⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢐⡞⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣉⣭⣯⣿⣿⣿⣿⣿⣿⡇⠀⠈⠈⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠁⠀⠀⢀⡀⠀⠀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣭⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣷⣿⣿⣿⠀⣀⢈⣄⢞⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣰⣾⣾⣿⣿⣿⣶⣤⡀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡟⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠈⠁⠀⢹⣿⡿⠛⠁⠀⠀⠀⠈⢙⠻⡿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠊⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡁⣿⡇⡌⢰⣶⣶⣅⢢⠙⣿⡇⡄⠠⠵⠿⣿⡛⢀⢀⣴⣿⣿⣿⣷⡙⢀⠠⡄⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢁⣾⣿⠀⠇⣿⡇⡆⣹⣿⣿⣿⠀⠇⣿⠃⠷⢀⣀⣀⣐⠂⠆⢸⣿⣿⣿⣿⣿⡇⢠⠀⠇⣿⣿⣷⣿⣿⣿⣿⣽⣿⣿⢰⡔⠀⠀⠂⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡃⡁⢿⣿⠿⢋⣰⢠⣿⠁⠃⠴⡿⠿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢘⡄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠈⠡⠁⠀⠒⠒⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣤⣀⣿⣇⣢⣀⣀⣐⣾⣶⣿⣿⣄⣂⣀⣀⣀⣬⣿⣷⣮⣴⣠⣠⣐⣲⣵⣿⣿⡿⠻⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⣿⣿⣿⣿⠿⢿⠿⠿⠿⠿⠿⠛⠋⠉⠀⠀⠘⣻⣿⣿⠟⣛⡽⠁⠀⠀⠀⠀⠈⠉⠛⢿⣯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠁⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣟⣿⣿⣿⢰⣾⣿⣿⡀⢰⣿⣿⠀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠉⠺⠿⠆⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢠⣿⠇⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣻⣿⣇⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡶⠒⠀⠀⠀⠀⠀⠸⠻⢻⣿⡇ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⣿⣻⣿⣿⣷⣿⣷⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠘⠚⠂ ⣿⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⡀⣀⣀⣀⡀⣀⣀⠀⡀⠀⢀⢀⣀⡀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⡁⢉⡉⠘⠋⠿⣿⣜⣟⣿⣿⣿⣷⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢰⣻⣿⣿⣷⢲⣤⣴⢋⡩⠟⠻⢿⢟⠟⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠅⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠂⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶ ⣿⣿⡗⣆⣰⣴⡠⣖⡆⡤⡀⡠⡀⠀⡖⢢⢀⢄⢰⢄⢐⠠⡄⡤⡄⠀⣖⡂⡤⠠⢄⠀⢄⠀⡠⠀⡤⡠⡄⡤⠀⢰⢠⠄⠀⠀⡀⢠⣤⣤⠀⡄⣠⣤⣤⠀⡆⡠⡠⡶⡄⡄⡆⣻⣿⢟⣿⣿⣿⣯⣿⣿⣿⣿⢽⣿⣿⣿ ⣿⣿⡇⠃⠚⠘⠓⠋⠃⠃⠃⠗⠇⠀⠓⠊⠐⠒⠘⠚⠘⠓⠃⠃⠂⠀⠃⠀⠃⠑⠊⠐⠊⠀⠑⠂⠃⠃⠃⢚⠃⠘⠓⠛⠀⠀⠐⠐⠒⠐⠂⠐⠀⠂⠒⠂⠃⠒⠃⠃⠓⠃⠃⣿⣧⣿⣗⣽⢺⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡐⣿⠋⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢐⡞⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣨⢭⣽⣿⣿⣿⣿⣿⣿⡇⠀⠈⠈⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣢⣻⣾⣷⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⣀⠀⠀⠀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣭⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣷⣿⣿⣿⠀⠘⢂⣕⣺⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⣴⣾⣿⣿⣿⣷⣶⣦⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡟⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠈⠀⠀⢹⣿⡿⠛⠁⠀⠀⠀⠉⢙⠻⡿⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣧⠈⠊⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡁⣿⡇⡌⢰⣶⣶⣅⢢⠙⣿⡇⡄⠠⠾⠹⣿⡟⢀⢀⣴⣿⣿⣿⣷⡘⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⢐⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢁⣾⣿⠀⠇⣿⡇⡆⣹⣿⣿⣿⠀⠇⣿⠃⠷⢀⣀⣀⣰⠂⠆⢸⣿⣿⣿⣿⣿⡇⢠⠀⠐⣿⣿⣾⣿⣿⣿⣯⣿⣿⡟⣶⡼⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡃⡁⢿⣿⠿⢋⣰⢠⣿⠁⠃⠩⡿⠿⣿⣷⡀⡈⠛⠿⣿⡿⠟⠀⢘⡄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠐⠁⢐⠀⠂⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣤⣀⣿⣇⣢⣀⣀⣐⣾⣶⣿⣿⣄⣂⣀⣀⣀⣬⣿⣿⣮⣴⣠⣠⣐⣲⣵⣿⣿⡿⠻⣿⣿⢿⠿⢿⣿⣿⣿⠁⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣿⣿⣿⣿⠿⢿⠿⠿⠿⠿⠿⠛⠋⠉⠀⠀⠙⣻⣿⣿⠟⣛⠍⠁⠀⠀⠀⠀⠈⠉⠛⢿⣯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠁⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣟⣿⣿⣷⢰⣾⣿⣿⡀⢰⣿⣿⠀⠾⠃⠀⠀⠀⠀⠀⠀⠀⠉⠛⠁⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣯⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠈⠟⠿⠄⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⢰⣿⠇⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣻⣿⣇⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣶⠒⠀⠀⠀⠀⠀⠙⠻⢿⣿⡄ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⣿⣻⣿⣿⣷⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠘⠚⠂ ⣿⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⡀⣀⣀⣀⡀⣀⣀⠀⡀⠀⢀⢀⣀⡀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⡁⢉⡉⠘⠋⠿⣿⣜⣟⣿⣿⣿⣷⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢰⣻⣿⣿⣷⢲⣤⣴⣋⡩⠟⢻⢿⢟⠟⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠅⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠂⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶ ⣿⣿⡏⣯⣹⣝⣩⣹⡋⡀⡀⡀⡀⠀⡖⢠⢀⢀⢐⢀⢐⠉⡉⡁⡉⠉⡖⡄⡀⢀⢀⢀⢀⠀⡀⡀⡀⣀⡉⡩⠉⢹⢩⠅⠀⠠⠀⢠⣠⣤⠠⡄⣀⣭⣭⠉⡏⡩⡉⡟⡉⡍⡏⣻⣿⢟⣿⣿⣿⣯⣿⣿⣿⣿⢽⣿⣿⣿ ⣿⣿⡇⠃⠚⠘⠓⠋⠃⠃⠃⢓⠇⠀⠃⠚⠘⠙⠐⠚⠘⠛⠃⠃⠂⠀⠃⠀⠃⠑⠊⠐⠊⠀⠛⠃⠃⢃⠃⢛⠃⠘⠚⠛⠀⠀⠐⠐⠒⠘⠂⠐⠀⠂⠓⠂⠃⠒⠃⠃⠓⠃⠃⣿⣧⣿⣗⣽⢺⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡐⣶⠂⠀⠀⠀⠈⠁⠒⠢⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢰⡞⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡱⣩⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⠈⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣠⢀⠀⢈⡿⣿⣿⣿⣾⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⡀⠀⠀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣭⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣷⣿⣿⣿⠀⡀⢐⠒⣼⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⣰⣶⣾⣿⣿⣿⣶⣤⡀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡟⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠈⠉⠹⢺⡟⠛⠁⠀⠀⠀⢉⢙⠻⡿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠂⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡁⣿⡇⡌⢰⣶⣶⣅⢢⠙⣿⡇⡄⠀⠵⠾⣿⡟⢀⢀⣴⣿⣿⣿⣷⡘⠀⠁⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢁⣾⣿⠀⠇⣿⡇⡆⣹⣿⣿⣿⠀⠇⣿⠃⠷⢀⣀⣀⣰⠀⠆⢸⣿⣿⣿⣿⣿⡇⢠⠀⠇⣿⣿⣷⣿⣿⣿⣿⣭⣿⣿⢺⡜⠄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡃⡁⢿⣿⠿⢋⣰⢠⣿⠁⠃⠺⡿⠿⣿⣷⡀⡈⠛⠿⣿⡿⠟⠁⢘⡄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠡⠁⢐⠒⠒⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣤⣀⣿⣇⣢⣀⣀⣐⣾⣶⣿⣿⣄⣂⡀⣀⣀⣬⣿⣷⣮⣴⣠⣠⣀⣲⣵⣿⣿⡿⠻⣿⣿⠿⢿⡿⣿⣿⣿⠏⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺⣿⣽⣿⢿⠿⢿⠿⠿⠿⠿⠿⠛⠋⠉⠀⠀⠘⣻⣿⡿⠟⣛⡽⠃⠀⠀⠀⠀⠈⠉⠛⢿⣯⠉⣹⡏⣩⣥⡇⠠⣶⣦⢸⡟⠁⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣟⣿⣿⣷⢠⢺⣼⣿⡀⢰⣿⣿⠀⠾⠁⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⠚⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣧⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠙⠼⠿⠁⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⢠⣶⡆⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣻⣿⣇⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡶⠒⠀⠀⠀⠀⠀⠘⠿⢿⣿⠇ ⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⣿⣻⣿⣿⣷⣿⣷⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠘⠚⠃ ⣿⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⡀⣀⣀⣀⣀⣀⣀⠀⡀⠀⢀⢀⣀⡀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⡁⢉⡉⠘⠋⠿⣿⣜⣟⣿⣿⣿⣷⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢰⣻⣿⣿⣷⢲⣤⣴⢋⡩⠟⠻⢿⢟⠟⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠅⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠂⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶ ⣿⣿⡏⡏⢩⢭⣉⣉⡍⣁⡀⣀⡀⠀⡤⢤⢈⣉⢉⣉⢉⣉⡉⣉⡉⠉⡭⠍⣉⢉⡁⢀⡀⠀⢀⡀⣀⣉⡉⣉⡉⢩⢉⣁⠀⠠⠀⢠⣠⣬⡉⡍⠉⣍⣭⡉⡍⣉⣉⣍⡉⡉⡍⣻⣿⢟⣿⣿⣿⣯⣿⣿⣿⣿⢽⣿⣿⣿ ⣿⣿⡇⠏⠻⠸⡣⠏⠇⠇⠇⣣⡇⠀⠧⠘⠘⠍⠐⠜⠘⠪⠃⠇⠃⠀⠏⠁⠇⠁⠜⠀⠜⠀⠫⠁⠇⠇⠇⠭⢂⠸⠫⠕⠀⠀⠱⠐⠔⠰⠄⠐⠀⠆⠫⠁⠇⠢⠃⠃⠧⠇⠇⣿⣧⣿⣗⣽⢺⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣷⣶⣶⣶⣷⣶⣶⣶⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣶⣶⣶⣶⣶⡆⠀⠀⢀⡐⣶⠂⠀⠀⠀⠀⠀⠒⠢⠤⣀⡀⠀⠀⠀⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢰⡞⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠡⣭⣿⣯⣿⣿⣿⣿⣿⡇⠀⠈⠈⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢠⣀⢾⣵⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⣀⠀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣭⣷⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣷⣿⣿⣿⠀⡀⠒⣄⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢀⣴⣶⣾⣾⣿⣷⣤⣤⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡟⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠀⠀⢙⢻⡿⠛⠁⠀⠀⠀⠈⢙⢻⡟⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣧⠘⢈⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡁⣿⡇⡌⢰⣶⣶⣅⢢⠙⣿⡇⡄⠀⠧⠨⣿⡋⢁⢀⣴⣿⣿⣿⣷⡘⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⢐⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⠂⠸⠟⢀⢁⣾⣿⠀⠇⣿⡇⡆⣹⣿⣿⣿⠀⠇⣿⠃⠷⢀⣀⣀⣰⠂⠆⢸⣿⣿⣿⣿⣿⡇⢀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣶⡤⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢃⣾⣿⣿⠀⠆⣿⡃⡁⢿⣿⠿⢋⣰⢠⣿⠁⠃⠰⡾⠽⣿⣷⡀⡈⠻⠿⣿⡿⠟⠁⢘⡄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠐⠀⠒⠐⠀⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀ ⣿⣿⣿⣿⣿⣿⣷⣘⣃⣾⣿⣿⣿⣤⣀⣿⣇⣢⣀⣀⣐⣾⣶⣿⣿⣄⣂⣀⣀⣀⣬⣿⣿⣮⣴⣠⣀⣐⣲⣵⣿⣿⡿⢻⣿⣿⢿⣿⣿⣿⣿⣿⠃⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠠⣿⣿⢿⣿⠿⢿⠿⠿⠿⠿⠿⠛⠋⠉⠀⠀⠛⣻⣿⣿⠟⣛⡝⠁⠀⠀⠀⠀⠈⠉⠻⢿⣯⠉⣹⡏⣩⣥⡇⠠⣶⣦⢸⡟⠁⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣟⣿⣿⣷⠠⣖⣿⣿⡀⢰⣿⣿⠀⠾⠋⠀⠀⠀⠀⠀⠀⠀⠉⠛⠁⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠙⠸⠻⠀⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⢠⣷⡆⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⡀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣻⣿⣇⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡶⠒⠀⠀⠀⠀⠀⠙⠻⢿⣿⠆ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⣿⣻⣿⣿⣷⣿⣷⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠘⠊⠁ ⣿⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⡀⠀⢀⢀⣀⡀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⡁⢉⡉⠘⠋⠿⣿⣜⣟⣿⣿⣿⣷⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢰⣻⣿⣿⣷⢲⣤⣴⢋⡩⠟⠻⢿⢟⠟⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠢⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶ 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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢭⣿⣿⣿⣿⠿⢿⠿⠿⠿⠿⠿⠛⠋⠉⠀⠀⠘⣻⣿⡿⠟⣛⡭⠋⠀⠀⠀⠀⠈⠉⠻⢿⣯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠁⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢰⣶⣿⣿⡀⢰⣿⣿⠀⠾⠋⠀⠀⠀⠀⠀⠀⠀⠈⠙⠁⠚⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣷⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠉⠚⠿⠄⠘⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢠⣿⠃⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⠄ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣻⣿⣇⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡶⠒⠀⠀⠀⠀⠀⠙⠻⢿⣿⠆ ⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣻⣿⣿⣿⣿⣷⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠘⠚⠂ ⣿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⡀⣀⣀⣀⡀⣀⣀⠀⡀⠀⢀⢀⣀⡀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⡅⢈⡩⠘⠋⣿⣿⣜⣟⣿⣿⣿⣿⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠰⣻⣿⣿⣷⢶⣤⣤⢋⡩⠟⣻⠿⢟⠟⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠢⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶ ⣿⣿⡏⡯⢩⣭⢉⣉⡍⣁⠀⢀⡀⠀⡤⢄⠀⡉⢉⡉⢩⢉⡉⣉⡉⠉⡭⠍⣉⢉⡉⠀⡀⠀⢀⡀⣀⣉⡉⣉⡉⢩⢉⡁⠀⠀⠀⢠⣠⣌⡉⡍⠩⣩⣭⠉⡍⣉⢉⣭⡉⡉⡍⣻⣿⢟⣿⣿⣿⣯⣿⣿⣿⣿⢽⣿⣿⣿ ⣿⣿⡇⠏⠻⠸⠧⠯⠇⠇⠇⡧⡇⠀⠧⠜⠨⠬⠨⠜⠸⠦⠇⠇⠁⠀⠏⠁⠇⠠⠜⠠⠜⠀⠣⠄⠇⢇⠇⠽⠆⠸⠫⠖⠀⠀⠰⠸⠴⠰⠄⠰⠉⠇⠧⠄⠇⠥⠃⠇⠧⠇⠇⣿⣧⣿⣗⣽⢺⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣶⣶⣶⣶⣶⡆⠀⠀⠀⡀⢶⠂⠀⠀⠀⠀⠀⠒⠢⠤⣀⡀⠀⠀⠀⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣺⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢐⡜⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣀⣽⣻⣿⣿⣿⣿⣿⣿⡇⠀⠈⠈⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠤⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠈⡠⣰⣯⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⢀⡀⠀⠀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣭⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⠀⣠⠀⣤⣲⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣠⣶⣶⣿⣿⣿⣶⣤⡀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡟⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠈⠉⠀⢐⣿⡿⠛⠁⠀⠀⠀⢈⢙⢻⡿⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠊⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡁⣿⡇⡌⢰⣶⣶⣅⢂⠙⣿⡇⡄⠠⠦⠽⣿⡟⢀⢀⣴⣿⣿⣿⣷⡘⠀⠁⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢀⢀⣾⣿⠀⠇⣿⡇⡆⣽⣿⣿⣿⠀⠇⣿⠃⠷⠀⣀⣀⣐⠂⠆⢸⣿⣿⣿⣿⣿⡇⢰⠀⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡔⠄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢂⣾⣿⣿⠀⠆⣿⡃⡁⢿⣿⠿⢋⣰⢠⣿⠁⠃⠒⡿⠿⣿⣷⡀⡈⠛⠿⣿⡿⠟⠀⢘⡄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠁⠁⠐⠒⠂⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣤⣀⣿⣇⣢⣀⣀⣰⣮⣷⣿⣿⣄⣂⣀⢀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⡿⠻⣿⣿⡿⣿⣿⣿⣿⣿⠇⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢬⣿⣽⣿⣿⠿⢿⠿⠿⠿⠿⠿⠛⠋⠉⠀⠀⠙⣻⣿⡿⠟⣛⡽⠁⠀⠀⠀⠀⠈⠉⠻⢿⣯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠁⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢰⣾⣽⣿⡀⢰⣿⣿⠀⠾⠋⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⠘⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠉⠙⠿⠄⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢠⣽⠁⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣠⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡶⠒⠀⠀⠀⠀⠀⠙⠿⢻⣿⡇ ⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⣿⣻⣿⣿⣿⣿⣷⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠘⠚⠁ ⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⣀⣀⠀⡀⠀⢀⢀⣀⡀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⡅⢉⡍⠘⠋⢿⣿⣜⣟⣿⣿⣿⣷⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠰⣻⣿⣿⣷⢶⣬⣤⢋⡉⠟⡻⢿⠟⠛⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠢⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶ ⣿⣿⡟⡟⢻⣿⢛⣛⡍⣁⠀⠀⠀⠀⡤⢀⠀⡉⠉⡉⠩⢉⠉⣉⠉⠉⡭⡍⣉⠉⡉⠀⠀⠀⠀⠀⣀⢉⠛⢛⠛⢻⢛⡃⠀⢀⠀⢠⣠⣌⠉⡍⠩⣭⣭⠉⡍⢙⢋⡽⡛⡛⡟⣻⣿⢟⣿⣿⣿⣯⣿⣿⣿⣿⢽⣿⣿⣿ ⣿⣿⡇⠏⠻⠸⠧⠯⠇⠇⠇⠧⡇⠀⠧⠼⠸⠾⠨⠼⠸⠶⠇⠇⠁⠀⠇⠁⠇⠢⠜⠠⠜⠀⠷⠇⠇⢇⠇⠽⠆⠸⠫⠶⠀⠀⠲⠸⠼⠰⠄⠰⠉⠇⠷⠆⠇⠥⠇⠇⠧⠇⠇⣿⣧⣿⣗⣽⢺⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣷⣶⣶⣶⣷⣶⣶⣶⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣶⣶⣶⣶⣶⡆⠀⠀⠀⡀⣶⠂⠀⠀⠀⠀⠀⠒⠢⠤⣀⡀⠀⠀⠀⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢐⡜⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢭⣽⣿⣿⣿⣿⣿⣿⡇⠀⠈⠈⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠤⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡀⢀⡲⣲⣷⣾⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⢀⡀⠀⠀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣭⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⠠⣀⢠⢶⢰⣝⣿⣻⣿⣿⣿⣿⣿⣿⣿⡿⠁⣠⣶⣶⣾⣾⣿⣶⣤⡀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡟⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠀⠀⢑⢿⡿⠛⠁⠀⠀⠀⢈⢙⢻⡿⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠂⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⠀⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡁⣿⡇⡌⢰⣶⣶⣅⢂⠙⣿⡇⡄⠀⠴⠻⣿⡟⢀⢀⣴⣿⣿⣿⣷⡘⠀⠁⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⡆⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢀⢀⣾⣿⠀⠇⣿⡇⡆⣽⣿⣿⣿⠀⠇⣿⠃⠷⢀⣀⣀⣐⠀⠆⢸⣿⣿⣿⣿⣿⡇⢰⠀⠇⢼⣿⣿⣿⣿⣿⣿⣟⣿⣿⢷⡴⡄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⠂⣾⣿⣿⠀⠆⣿⡃⡁⢿⣿⠿⢋⣰⢠⣿⠁⠃⠸⡿⠿⣿⣷⡀⡈⠛⠿⣿⡿⠟⠀⢘⡄⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠁⠁⠐⠀⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣤⣀⣿⣇⣢⣀⣀⣰⣮⣷⣿⣿⣄⣂⢀⣀⣀⣬⣿⣿⣮⣴⣂⣠⣀⣲⣵⣿⣿⡿⠛⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⠿⢿⠿⠿⠿⠿⠿⠛⠋⠉⠀⠀⠘⣻⣿⡷⠟⣛⣽⠋⠀⠀⠀⠀⠈⠉⠻⢿⣯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠁⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣶⢠⡺⣿⣿⠀⢰⣿⣿⠀⠾⠋⠀⠀⠀⠀⠀⠀⠀⠈⠙⠁⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⠀⠙⠹⠿⠆⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢠⣷⡆⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⡀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣻⣿⣇⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡶⠒⠀⠀⠀⠀⠀⠙⠿⢿⣿⠇ ⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⣿⣻⣿⣿⣿⣿⣷⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠠⠀⠀⠀⠘⠚⠁ ⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⣀⣀⠀⡀⠀⢀⢀⣀⡀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⡅⢉⡉⠘⠋⢿⣿⣜⣟⣿⣿⣟⣷⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠰⣻⣿⣿⣷⢲⣤⣴⠋⡭⠟⡻⢿⢏⠫⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠢⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶ ⣿⣿⡟⡛⢛⡟⠛⣛⡛⠁⠀⠀⠀⠀⡀⣀⠀⠛⠛⠛⠛⠛⠛⠛⠛⠛⣛⡛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⢛⠛⠃⠀⢀⠀⢠⣠⣌⠉⡍⠩⣍⡉⠙⡛⠛⠛⡿⠛⠛⡛⣻⣿⢟⣿⣿⣿⣯⣿⣿⣿⣿⢽⣿⣿⣿ ⣿⣿⡇⡏⢻⢸⢏⠯⡇⡏⠇⢏⡇⠀⣇⠸⠸⡛⠨⡹⠸⢝⠇⡏⠁⠀⠗⠂⡏⠊⠱⠈⡱⠀⢟⠃⡏⡏⡇⣛⢅⢸⢻⡫⠀⠀⢲⠰⡸⠸⡀⠰⠀⡆⢖⠃⠇⢍⠏⠇⢇⡇⡇⣿⣧⣿⣗⣽⢺⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣷⣶⣶⣶⣶⣶⣶⣦⡄⠩⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣴⣶⣶⣶⣶⡆⠀⠀⠀⡀⢤⠀⠀⠀⠀⠀⠀⠐⠠⠤⣀⡀⠀⠀⠀⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢐⡜⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢊⡭⢙⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠤⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠑⣞⣿⣾⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⢀⡀⠀⠀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣭⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⠀⢀⠀⡀⢪⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣠⣶⣶⣿⣿⣿⣶⣤⡀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡟⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠀⠀⢹⣿⡿⠛⠁⠀⠀⠀⢈⢙⢻⡿⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠊⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡁⣿⡇⡌⢰⣶⣶⣅⢂⠙⣿⡇⡄⠰⠶⠿⣿⠟⢀⢀⣴⣿⣿⣿⣷⡘⠀⠁⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢀⢀⣾⣿⠀⠇⣿⡇⡆⣽⣿⣿⣿⠀⠇⣿⠃⠷⢀⣀⣀⣰⠀⠆⢸⣿⣿⣿⣿⣿⡇⢰⠀⡇⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⢾⡔⠄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢂⣾⣿⣿⠀⠆⣿⡃⡁⢿⣿⠿⢋⣰⢠⣿⠁⠃⠊⡿⠿⣿⣷⡀⡈⠛⠿⣿⡿⠟⠀⢘⡄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠁⠁⢐⠐⠂⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣤⣀⣿⣇⣢⣀⣀⣰⣮⣷⣿⣿⣄⣂⣀⣀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⡿⠻⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢬⣿⣿⣿⣿⠿⢿⠿⠿⠿⠿⠿⠛⠋⠉⠀⠀⠘⣻⣿⣿⠟⣛⣽⠋⠀⠀⠀⠀⠈⠉⠻⢿⣯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠁⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠀⣾⣯⣿⠀⢰⣿⣿⠀⠾⠋⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣯⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠈⠉⠽⠿⠄⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⢠⣿⠇⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣠⡀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣻⣿⣇⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡶⠒⠀⠀⠀⠀⠀⠸⠻⢿⣿⡃ ⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⣿⣻⣿⣿⣿⣿⣷⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠘⠚⠀ ⣿⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⣀⣀⠀⡀⠀⢀⢀⣀⡀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⡅⢉⡩⠘⠋⠿⣿⣜⣟⣿⣿⣟⣷⣽⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠰⣻⣿⣿⡷⢶⣤⣴⢋⡉⠟⢻⢿⠟⠛⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠢⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶ ⣿⣿⡟⡛⢛⣟⠛⣛⡛⠁⠀⠀⠀⠀⣀⡀⠀⠛⠛⠛⠛⠛⠛⠛⠛⠛⣛⡛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⢛⠛⠃⠀⢀⠀⢠⣠⣌⠉⡍⠉⠉⣭⠙⡛⠛⠛⣛⠛⠛⡛⣻⣿⢟⣿⣿⣿⣯⣿⣿⣿⣿⢽⣿⣿⣿ ⣿⣿⡇⡗⢺⢸⢏⣯⡇⡏⡇⢏⡇⠀⣇⡸⠸⡛⠨⡱⠸⢝⠇⡏⠁⠀⡗⠂⡏⢈⡱⠈⡱⠀⢞⡃⡏⣏⡇⣛⠅⢸⢛⡫⠀⠀⢲⠰⡱⢸⡁⠰⠒⡆⢞⡂⡇⢉⠏⠏⣇⡇⡇⣿⣧⣿⣗⣽⢺⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣧⣤⣦⣤⣤⣤⣥⣤⡄⠩⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣤⣤⣤⡆⠀⠀⠀⡀⣤⠀⠀⠀⠀⠀⠀⠀⠠⠤⣀⡀⠀⠀⠀⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣺⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢐⡜⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⣝⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⡀⢼⣷⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠁⠀⠀⢀⡀⠀⠀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣭⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⠀⢀⠀⢄⢸⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣰⣶⣾⣷⣿⣿⣦⣤⡀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡟⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠈⠁⠩⣹⡿⠛⠁⠀⠀⠀⢈⢙⢻⡿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠊⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡁⣿⡇⡌⢰⣶⣶⣅⢂⠙⣿⡇⡄⠠⠴⠿⣿⡟⢀⢀⣴⣿⣿⣿⣷⡘⠀⠁⡄⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢀⢀⣾⣿⠀⠇⣿⡇⡆⣽⣿⣿⣿⠀⠇⣿⠃⠷⢀⣀⣀⣐⠂⠆⢸⣿⣿⣿⣿⣿⡇⢀⠀⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡔⡄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢂⣾⣿⣿⠀⠆⣿⡃⡁⢿⣿⠿⢋⣰⢠⣿⠁⠃⠲⡿⠽⣿⣷⡀⡈⠛⠿⣿⠿⠟⠀⢘⡄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠁⠁⠐⠐⠂⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣤⣀⣿⣇⣢⣀⣀⣰⣮⣷⣿⣿⣄⣂⣀⣀⣀⣬⣿⣿⣮⣴⣀⣠⣀⣲⣵⣿⣿⡿⠻⣿⣿⢿⣿⣿⣿⣿⣿⠏⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⠿⢿⠿⠿⠿⠿⠿⠛⠋⠉⠀⠀⠘⣻⣿⣿⠟⣛⡽⠁⠀⠀⠀⠀⠈⠉⠻⢿⣯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠁⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢠⢾⣽⣷⡀⢰⣿⣿⠀⠾⠋⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⠘⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣷⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠉⠹⠿⠄⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢠⣷⠆⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⢿⣿⣿⣿⣿⣻⣿⣇⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡶⠒⠀⠀⠀⠀⠀⠙⠻⢻⣿⠃ ⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⣿⣻⣿⣿⣿⣿⣷⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠠⠀⠀⠀⠘⠚⠂ ⣿⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⠀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⡀⣀⣀⣀⡀⣀⣀⠀⡀⠀⢀⢀⣀⡀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⡅⢉⡩⠘⠋⠿⣿⣜⣟⣿⣿⣿⣷⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠰⣻⣿⣿⣷⢶⣤⣴⢋⡉⠟⢻⢿⢟⠛⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠢⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶ ⣿⣿⡟⡛⢛⣟⠛⣛⡛⠁⠀⠀⠀⠀⣀⡀⠀⠛⠛⠛⢛⠛⠛⠛⠛⠛⣛⡛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⢛⠛⠃⠀⢀⠀⢠⣠⣌⠉⡍⠉⣭⣭⠙⡛⠛⠛⣛⠛⠛⡛⣻⣿⢟⣿⣿⣿⣯⣿⣿⣿⣿⢽⣿⣿⣿ ⣿⣿⡇⡗⢺⢸⣎⣯⡇⡏⡇⣎⡇⠀⣇⡸⢘⣑⢘⡱⢸⢜⡇⡏⠃⠀⡗⠂⡏⢈⡱⢈⡱⠀⢎⡃⡏⣏⡇⣫⡅⢸⢛⡥⠀⠀⢲⢰⣱⢸⡁⢰⠒⡆⢞⡂⡇⣉⠎⡏⣇⡇⡇⣿⣧⣿⣗⣽⢺⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣧⣤⣦⣤⣤⣤⣤⣤⡄⠩⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣤⣤⣤⡆⠀⠀⠀⡀⣤⠀⠀⠀⠀⠀⠀⠀⠠⠤⣀⡀⠀⠀⠀⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢚⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢐⡜⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡩⣩⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⠈⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢠⣌⣿⣾⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⢀⡀⠀⠀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣭⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⢀⠀⠐⣤⢵⣵⢿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢀⣴⣶⣾⣿⣿⣿⣶⣤⡀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡟⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠈⠀⠈⠡⢺⡿⠛⠁⠀⠀⠀⢈⢙⢻⡏⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠊⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡁⣿⡇⡌⢰⣶⣶⣅⢂⠙⣿⡇⡄⠐⠽⠿⣿⡟⢀⢀⣴⣿⣿⣿⣷⡘⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠐⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢀⢀⣾⣿⠀⠇⣿⡇⡆⣽⣿⣿⣿⠀⠇⣿⠃⠷⢀⣀⣀⣐⠂⠆⢸⣿⣿⣿⣿⣿⡇⢀⠀⠀⣿⣿⣾⣿⣿⣿⣿⣽⣿⣿⢰⡜⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢂⣾⣿⣿⠀⠆⣿⡃⡁⢿⣿⠿⢋⣰⢠⣿⠁⠃⠭⡾⠿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢘⡄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠈⠰⠁⢒⠐⠂⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣤⣀⣿⣇⣢⣀⣀⣰⣮⣷⣿⣿⣄⣂⣀⣀⣀⣬⣿⣷⣮⣴⣂⣠⣀⣲⣵⣿⣿⡿⠻⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣨⣯⣿⣿⢿⠿⢿⠿⠿⠿⠿⠿⠛⠋⠉⠀⠀⠙⣻⣿⣿⠟⣛⡽⠁⠀⠀⠀⠀⠈⠉⠛⢿⣯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠁⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣷⢀⣞⣾⣿⡀⢰⣿⣿⠀⠾⠁⠀⠀⠀⠀⠀⠀⠀⠉⠛⠁⠘⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣟⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⠀⠉⠸⠿⠇⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢰⣇⠆⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣠⠄ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣻⣿⣇⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡶⠒⠀⠀⠀⠀⠀⠙⠻⢿⣿⠆ ⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⣿⣻⣿⣿⣿⣿⣷⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠘⠊⠀ ⣿⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⢀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⣀⣀⠀⡀⠀⢀⢀⣀⡀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⡅⢉⡩⠘⠋⠿⣿⣜⣟⣿⣿⣟⣷⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠰⣻⣿⣿⣷⢲⣤⣴⢋⡩⠟⢻⢟⢟⠛⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠢⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶ 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⣿⣿⣧⣥⣮⣬⣭⣤⣥⣥⡀⠒⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣥⣤⣭⣤⣤⣤⡇⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣀⡀⠀⠀⠀⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢰⡜⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⡍⢹⣭⣿⣿⣿⣿⣿⣿⡇⠀⠈⠈⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡀⢐⡐⢼⣷⣿⣷⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⢀⠀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣭⣷⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⠀⡀⢠⣗⣺⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣴⣶⣶⣷⣿⣷⣤⣤⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡟⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠀⠀⢙⢿⡿⠛⠁⠀⠀⠀⢉⢙⢻⡟⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣧⠈⠈⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡁⣿⡇⡌⢰⣶⣶⣅⢂⠙⣿⡇⡄⠐⠥⠿⣾⡋⢀⢀⣴⣿⣿⣿⣷⡘⢀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢐⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢀⢀⣾⣿⠀⠇⣿⡇⡆⣽⣿⣿⣿⠀⠇⣿⠃⠷⢀⢀⣀⣐⠀⠆⢸⣿⣿⣿⣿⣿⡇⢀⠀⠀⣿⣿⣯⣿⣿⣿⣿⣻⣿⣿⢤⡼⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢂⣾⣿⣿⠀⠆⣿⡃⡁⢿⣿⠿⢋⣰⢠⣿⠁⠃⠰⡾⠿⣿⣷⡀⡈⠻⠿⣿⡿⠟⠀⢘⡄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠰⠁⢒⠐⠒⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡖⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣤⣀⣿⣇⣢⣀⣀⣰⣮⣷⣿⣿⣄⣂⣀⣀⣀⣬⣿⣿⣮⣴⣂⣠⣀⣲⣵⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢨⢿⣽⣿⣿⠿⢿⠿⠿⠿⠿⠿⠛⠉⠉⠀⠀⠙⣻⣿⡿⠟⣛⡿⠁⠀⠀⠀⠀⠈⠉⠻⢿⣯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠁⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠠⢾⣽⣿⡀⢰⣿⣿⠀⠾⠋⠀⠀⠀⠀⠀⠀⠀⠘⠛⠁⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠘⠸⠯⠄⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡇⠀⠟⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢠⣿⠄⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⠀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣻⣿⣇⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡶⠒⠀⠀⠀⠀⠀⠹⠻⢻⣿⡇ ⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⣿⣻⣿⣿⣿⣿⣷⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠘⠚⠃ ⣿⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⢀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⣀⣀⠀⡀⠀⢀⢀⣀⡀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⡅⢉⡩⠘⠋⠿⣿⣜⣟⣿⣿⣿⣷⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠰⣻⣿⣿⣷⢶⣤⣴⢋⡉⠟⢻⢿⢟⠛⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠢⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶ ⣿⣿⡿⠿⠿⠿⠿⠿⠿⠅⠀⠀⠀⠀⠀⠀⠀⠛⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠹⠿⠿⠿⠿⠿⠇⠀⠀⠀⢠⣠⡬⠩⠉⠍⣭⣭⠹⠿⠿⠿⠿⠿⠿⠿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣿⣿⢽⣿⣿⣿ ⣿⣿⡇⡧⢾⢸⡖⣮⡇⡖⡆⡖⡆⠀⡏⢱⢰⠶⢐⢲⢰⡲⡆⡖⠂⠀⡯⠅⡖⠐⢢⠐⢢⠀⡴⠆⡖⣖⡆⠾⡂⢸⠳⢖⠀⠈⢴⢰⢲⢰⠂⢰⠀⡆⡶⠆⡇⡒⡖⡗⡆⡆⡇⣿⣧⣿⣗⣽⢺⢯⣿⢟⣿⣻⣿⣿⣿⣿ ⣿⣿⣇⣡⣪⣨⣉⣁⣁⣁⡁⠚⡃⠀⠉⠀⠀⠁⠀⠁⠀⠈⠀⠁⠀⠀⠁⠀⠁⠀⠁⠀⠁⠀⠈⢀⣁⣁⣁⣍⣀⣈⣈⡃⠀⠀⠈⡀⣁⠈⠁⠀⠀⠁⠈⠀⠁⠈⣀⡀⠈⠁⠁⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣼⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣞⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢐⡜⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣟⠓⠚⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣣⣽⣯⣿⣿⣿⣿⣿⣿⡇⠀⠈⠈⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠠⣠⣹⢾⣷⣿⣿⣿⣿⣿⣿⡧⠄⠀⠀⠀⢀⠀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣭⣶⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⠀⣀⠀⣰⣸⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣠⣶⣾⣿⣿⣷⣤⣤⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡟⠛⡉⣉⡛⠛⢿⣿⣿⡏⢉⠀⠀⠀⣐⣻⡿⠛⠉⠀⠀⠀⢈⢙⢻⡿⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠈⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣧⢂⠘⣿⣿⡟⢀⢀⣾⠇⡁⣿⡇⡌⢰⣶⣶⣅⢂⠙⣿⡇⡄⠠⠤⠺⣿⡏⢀⢀⣴⣿⣿⣿⣷⡘⠀⠁⡀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠐⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣆⢂⠸⠟⢀⢀⣾⣿⠀⠇⣿⡇⡆⣽⣿⣿⣿⠀⠇⣿⠃⠷⢀⣀⣀⣐⠂⠆⢸⣿⣿⣿⣿⣿⡇⢰⠀⡇⣿⣿⣷⣿⣿⣿⣿⣽⣿⣿⢠⡜⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⡌⣦⣤⢂⣾⣿⣿⠀⠆⣿⡃⡁⢿⣿⠿⢋⣰⢠⣿⠁⠃⠨⡾⠿⣿⣷⡀⡈⠻⠿⣿⠿⠟⠀⢘⡄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠈⠡⠁⢐⠒⠂⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀ ⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣤⣀⣿⣇⣢⣀⣀⣰⣮⣷⣿⣿⣄⣂⢀⣀⣀⣬⣿⣿⣮⣴⣠⣠⣀⣲⣵⣿⣿⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣿⣿⣿⢿⠿⢿⠿⠿⠿⠿⠿⠛⠋⠉⠁⠀⠘⣻⣿⣿⠟⣛⡽⠁⠀⠀⠀⠀⠈⠉⠻⢿⣯⠉⣹⡏⣩⣥⡆⠠⣶⣦⢸⡟⠁⣾⣷⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣶⠰⢪⣿⣿⡀⢰⣿⣿⠀⠼⠋⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⠘⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⢸⣷⣿⣿⡇⠀⣿⣿⣿⣿⣄⠉⠛⢿⣟⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⠈⠉⠞⠿⠆⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠛⠛⠛⠛⠛⣿⣶⡄⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢠⣷⠇⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡇⠀⠀⠀⠀⠀⠀⠿⠿⠏⣀⡀ ⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣻⣿⣇⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡶⠒⠀⠀⠀⠀⠀⠙⠻⢻⣿⠃ ⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⣿⣻⣿⣿⣿⣿⣷⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠘⠚⠁ ⣿⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⢀⢀⣀⡀⡀⣀⣀⣀⢀⣀⣀⡀⣀⢀⣀⣀⣀⣀⣀⣀⡀⣀⣀⣀⡀⣀⣀⠀⡀⠀⢀⢀⣀⡀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⡅⢉⡩⠘⠋⠿⣿⣜⣟⣿⣿⣟⣷⣽⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⣟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠰⣻⣿⣿⣷⢲⣤⣴⢋⡩⠟⢻⢟⢟⠛⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 4427 ╒═══════════════════ 𝐃𝐀𝐈𝐋𝐘 𝐋𝐈𝐍𝐊𝐒 ═════════════════════════════════════════════╕ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Gemini Links 25/04/2024: SFTP, VoIP, Streaming, Full-Content Web Feeds, and Gemini Thoughts⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Apr 25, 2024 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Early_morning_spider_web⦈_ 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈ § Contents⠀➾ * Gemini*_and_Gopher o Personal/Opinions o Science o Technology_and_Free_Software # Internet/Gemini * § Gemini* and Gopher⠀➾ o § Personal/Opinions⠀➾ # ⚓ Kennings⠀⇛ Kennings are, for better or worse, less common in modern English than in Old Norse or Old English. Much of their use is poetic or imaginative, which is probably more suitable for the meadhall than what passes for a working environment these days. Time to invent some! # ⚓ April_24,_2024_-_Saint_Fidelis_of_Sigmaringen,_Martyr_(R)⠀⇛ # ⚓ last_day,_last_time⠀⇛ today was probably my last time seeing my last remaining grandparent alive. i'm happy she was relatively lucid. she knew who i was, was very happy to see me, told me she dreamed of me. she asked about things and volunteered opinions, although she couldn't really hear or follow my answers too well, and fell asleep for most of my visit, exhausted by the small exchange we had. # ⚓ Interesting_Book:_Sundials:_Their_Theory_and_Construction_ (publ._2024-04-24)⠀⇛ Sundials are, of course, not quite as common as they used to be, but they make for an interesting way to better understand the relationship between the sun and the tracking of time. There are a lot of interesting nuances to this such as the implications of latitude and longitude, the calculations of angles, understanding time zones, and the "equation of time". Today I started a little project to make a simple horizontal sundial on top of a square wooden board that I found. # ⚓ Summer_2024_Semester:_Sustainability⠀⇛ With one week left in the current term I'm definitely settling into a nice groove with my schooling. Up until now I've been taking one eight week online course at a time, with the first two courses being almost pitifully easy. About halfway through my third term I emailed my advisor and requested to enroll in two courses per term, so that's what I'll be doing in just over a week. # ⚓ Black_Metal_Kommando⠀⇛ I'm also a fervent metalhead. I was born as an Epic Metal servant, then I start my journey through the folk, death, black metal. Here I'd like to summarize my preferred tracks, albums, bands. # ⚓ 🔤SpellBinding:_IMPYTUR_Wordo:_AROMA⠀⇛ # ⚓ birthdays⠀⇛ Today is my wife's birthday. We're heading into the city to find tacos, some vinyl, and see some art installations for Design March. Is Design March[0] a thing in other places? I'm really not sure if it's a local-only or if it's world-wide. It's pretty neat: art installations in March all over the city. Except it's April, almost May, but they didn't change the name. No idea why. [...] Today is also the first day of summer in Iceland, so it's a school holiday. We'll go see some parades and there will probably be pop-up concerts. I have a holiday vacation day today, so it's going to be Fun Family Time™. o § Science⠀➾ # ⚓ News_and_Links_(publ._2024-04-24)⠀⇛ Possibly interesting from a YAC perspective, as generally-speaking recent geological activity is a problem for old-universe models, in planets or moons that are smaller and further away from the sun. SETI, of course, is hoping that the volcano could have provided conditions for life outside of earth. o § Technology and Free Software⠀➾ # ⚓ Differentiating_myself_(and_Smol_Earth)_from_the_Amish⠀⇛ Gemscrawler adiabatic has suggested that the endpoint of the Smol Earth philosophy is more or less the way the Amish live and, hey, we already *have* the Amish, if you think they're so great, why don't you cut to the chase and go join them? On the basis of previous friendly interactions with adiabatic I am taking this as well-meaning and good-natured teasing to express a philosophical disagreement over which we might seriously and sincerely engage, so I'm writing a response. I'm not upset by the comparison, even though I don't think it holds. I'm supremely aware that I've done a pretty lousy job of trying to explain just exactly what Smol Earth is and is not about, so I can't be upset about misunderstandings of mischaracterisations. It seems a useful exercise to try to carefully and explicitly differentiate myself from the Amish. If I can't, well, heck, why *don't* I try joining them? # ⚓ SFTP,_VoIP,_tea⠀⇛ Yet another personal news digest: on the work- related SFTP and globbing adventures, attempts to get voice conferences working over HTTP, and tea. # ⚓ Track_Mastodon_hashtags_from_your_favorite_RSS_Feed aggregator⠀⇛ Maybe you want to follow one or more of your favorite tags on Mastodon but would rather do it using your favorite RSS feed aggregator, such as FreshRSS, Feedbin, Inoreader, Feedly, or others. # ⚓ Streaming_ambient_music⠀⇛ I find it annoying jumping back and forth from Spotify, to Soundcloud, to Bandcamp, to wherever else to find music to match a mood or preference. About 10 years ago I got deeper and deeper into listening to radio via the internet. The nice thing about radio is you can just switch it on or off, or flick to another station if you don't like what's currently playing. # ⚓ Profectus_Alpha_0.7:_Tabs_and_AVIF [Ed: This format is a software patents nuclear waste; but this Microsofter insists on this...]⠀⇛ Profectus now supports all of the common image formats (png, jpeg, gif) as well as the next generation ones (jpeg xl, webp, and avif). The rest of the supported image formats are only supported because SDL_Image supports them, and many of them are actually used within geminispace. Avif is the final image format that I planned to add for the time being. I am now going to start work on document formats outside of images and other essential browser features. Spartan support is also still planned. # § Internet/Gemini⠀➾ # ⚓ The_Problem_With_Full-Content_Web_Feeds_Today⠀⇛ Web feeds (Atom, JSON, or RSS) are much nicer if they have the full post content included. It allows users to read the post in their feed readers without any distractions that could be on the post’s page, be it advertisements, animations, sidebars, or creative choices which may look nice, but decrease the ability to read efficiently. It also means all content has been downloaded after syncing, which allows for reading offline. # ⚓ Gemini_Thoughts⠀⇛ I realized I hadn't looked into Gemini in a while, started reading into its updates, and even attempted to get some clients working on Snow Leopard... The keyword here is / attempted/. Nothing requiring Go or Rust would work, as those langs wouldn't even install for me in MacPorts, so I looked at some that only needed POSIX shell, bash, or something like that. Of them...only AV-98 actually works. Everything else either needs to have some changes made to run on this setup, or needs something else that needs Rust/Go itself, or just doesn't run at all. =============================================================================== * Gemini_(Primer) links can be opened using Gemini_software. It's like the World Wide Web but a lot lighter. ䷩ 𝚕𝚒𝚗𝚎 4686 ╒═══════════════════ 𝐃𝐀𝐈𝐋𝐘 𝐋𝐈𝐍𝐊𝐒 ═════════════════════════════════════════════╕ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 25/04/2024: South Korean Military to Ban iPhone, Armenian Remembrance Day⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Apr 25, 2024 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈ § Contents⠀➾ * Leftovers o Science o Education o Hardware o Health/Nutrition/Agriculture o Proprietary/Artificial_Intelligence_(AI) o Security # Integrity/Availability/Authenticity # Privacy/Surveillance # Confidentiality o Defence/Aggression o Environment # Energy/Transportation # Wildlife/Nature o Finance o AstroTurf/Lobbying/Politics o Censorship/Free_Speech o Freedom_of_Information_/_Freedom_of_the_Press o Civil_Rights/Policing o Internet_Policy/Net_Neutrality o Digital_Restrictions_(DRM) o Monopolies/Monopsonies # Patents # Trademarks # Copyrights * § Leftovers⠀➾ o ⚓ Kev Quirk ☛ Building_Cool_Shit⠀⇛ Could I go away and learn how to code? Sure. But the problem is, I'm poor on time. There just aren't enough hours in the day, so I don't think I'd ever be able to invest the time needed to learn something like that. o ⚓ Mark Dominus ☛ The_Universe_of_Discourse:_2024/04/23_archive⠀⇛ The principle of explosion is that in an inconsistent system everything is provable: if you prove both !!P!! and not-!!P!! for any !!P!!, you can then conclude !!Q!! for any !!Q!!: $$(P \land \lnot P) \to Q.$$ o ⚓ [Repeat] Tedium ☛ After_The_Twitter_Exodus:_Why_Post_Didn’t_Stick Around⠀⇛ It’s always telling when the dude who literally founded your social network doesn’t use it for nearly two months. o ⚓ Barry Hess ☛ What_Is_Good_Enough?⠀⇛ When Shawn and I came together to do web work in 2022, we very much had in mind our deficiencies. While Shawn had been creative for all of his adult life, coding up a design was not something he’d done in forever. While I had been around coding for all of my adult life, coding up complicated back ends that are stable and efficient was also not something I had done in forever. Yet we had many ideas. None of them seemed that technically ground breaking. We figured we could figure it out, at least to some level. We could get it done good enough. o ⚓ Andy Bell ☛ An_evolution,_not_a_revolution_-_Piccalilli⠀⇛ As part of this site’s ongoing evolution to becoming a publisher, we’ve given the overall look and feel a little refresh, along with the brand. The chilli pepper — which was a lazy job by me — has gone, the colour palette has been reduced and the link between Piccalilli and Set Studio has been brought to people’s attention. o ⚓ Antipope ☛ The_Radiant_Future!_(Of_1995)⠀⇛ As the Wall Street Journal said earlier this month (article is paywalled), "... In a presentation earlier this month, the venture-capital firm Sequoia estimated that the AI industry spent $50 billion on the Nvidia chips used to train advanced AI models last year, but brought in only $3 billion in revenue." On top of that, the industry is running at a loss on power consumption alone, never mind labour costs (which are quite high: those generative LLMs require extensive human curation of the input data they require for training). So, we've been here before. Most recently with cryptocurrency/blockchain (which is still going on, albeit much less prominently as governments and police go after the most obvious thieves and con men like Sam Bankman Fried). But there've been other [Internet]-related bubbles before. o ⚓ Chris Ferris ☛ Public_Cloud_is_the_most_insecure_form_of infrastructure,_except_for_all_the_others._-_Chris_Farris⠀⇛ In the quest for fortification against this common foe, the sagacious Rich Mogull and I found ourselves in accord, spirits united over a virtual ale. Thus, we set forth to pen a treatise, a WhitePaper, if you will, to distill our combined wisdom into a Universal Cloud Threat Model. This model, a testament to our collective understanding, posits a simple yet profound truth: "Threat Actors have Objectives against Targets using Attack Vectors which are observed by defenders as Attack Sequences." o § Science⠀➾ # ⚓ Science Alert ☛ Over_1,000_New_Additions_to_Our_Solar System_Were_Hiding_in_Hubble's_Archives⠀⇛ Thanks to an international team of citizen scientists, with the help of astronomers from the European Space Agency (ESA) and some machine learning algorithms, a new sample of over one thousand asteroids has been identified in Hubble's archival data. The methods used represent a new approach for finding objects in decades-old data that could be applied to other datasets as well. # ⚓ VOA News ☛ Japan's_moon_lander_still_going_after_3_lunar nights⠀⇛ SLIM landed the wrong way up with its solar panels initially unable to see the sun, and had to be turned off within hours, but powered on when the sun rose eight days later. SLIM, which was tasked with testing Japan's pinpoint landing technology and collecting geological data and images, was not designed to survive lunar nights. # ⚓ Wired ☛ How_NASA_Repaired_Voyager_1_From_15_Billion_Miles Away⠀⇛ There was a breakthrough last month when engineers sent up a novel command to “poke” Voyager 1's FDS to send back a readout of its memory. This readout allowed engineers to pinpoint the location of the problem in the FDS memory. The FDS is responsible for packaging engineering and scientific data for transmission to Earth. o § Education⠀➾ # ⚓ New Yorker ☛ A_Student_Journalist_Explains_the_Protests_at Yale⠀⇛ The editor-in-chief and president of the Yale Daily News reports on the arrest of fellow-students on campus this week. # ⚓ Daniel Miessler ☛ The_Value_of_Elite_Colleges_is Relationships_with_Elite_People⠀⇛ Basically it comes down to relationships. Associations. Connections. If you go to an elite school, it’s because you’re lucky to have great parents with lots of intelligence and lots of resources. And when you get to an elite school you’re surrounded by lots of other people like that. # ⚓ The Hill ☛ Tennessee_Legislature_passes_bill_to_arm teachers_despite_fierce_opposition⠀⇛ The bill, previously approved by the state Senate, will now go to Gov. Bill Lee, a Republican, for his signature. Lee can veto it, sign it or wait 10 days, after which it would become law. # ⚓ Brattleboro Reformer, Vermont ☛ Tennessee_lawmakers_pass bill_to_allow_armed_teachers,_a_year_after_deadly_Nashville shooting⠀⇛ The 68-28 vote in favor of the bill sent it to Republican Gov. Bill Lee for consideration. If he signs it into law, it would be the biggest expansion of gun access in the state since last year's deadly shooting at a private elementary school in Nashville. # ⚓ New York Times ☛ Tennessee_Passes_Bill_to_Allow_Teachers_to Carry_Concealed_Handguns⠀⇛ But many of them believed that restricting access to guns was the solution, and critics of the legislation have argued that bringing more weapons onto school campuses would not improve safety and could even amplify the danger facing students. # ⚓ Austin Kleon ☛ No_such_thing_as_waste⠀⇛ For years, I wanted to write a book about how much I learned from watching my kids work, but what I’m starting to realize is that what I’ve really learned is how to set up the conditions for creativity to happen. If you can do it for a four- year-old, maybe you can do it for yourself… And one of the great lessons is: Believe that there is no such thing as waste. Creative work is the residue of time “wasted.” Of materials “wasted.” o § Hardware⠀➾ # ⚓ CNX Software ☛ SC730_module_from_Small_Computer_Central features_the_now-discontinued_Zilog_Z80_CPU⠀⇛ Small Computer Central has released a new module kit, the SC730, for the 80pin-RCBus backplane which features the widely-used 8-bit Zilog Z80 CPU and a memory management unit. The Zilog Z80 is an 8-bit microprocessor created to be compatible with the defective chip maker Intel 8080 microprocessor while offering more advanced features such as built-in DRAM refresh, a better interrupt system, and non-multiplexed buses. The Z80 microprocessor was widely used for various applications between the 70s and the 80s and is still quite popular among retro computing enthusiasts today. Cousins’ SC730 module kit is designed to fit into an 80-pin socket on an RCBus backplane. The module is built to be used with a memory module as part of a complete computer system. # ⚓ CNX Software ☛ Ambarella_CV75S_Hey_Hi_(AI)_SoC_brings Vision_Language_Models_(VLM)_and_Vision_Transformer_Networks to_cameras⠀⇛ Ambarella has been expanding its Hey Hi (AI) SoC portfolio, and the latest addition is the CV75S family of 5nm chips. The company claims this family introduces the most cost- and power-efficient SoC option for running the latest AI-based image processing like vision language models (VLMs) and vision transformer networks in security, robotics, conferencing, and sports cameras. The CV75S family is the first in Ambarella’s lineup to integrate the latest CVflow 3.0 Hey Hi (AI) engine, which results in 3 times the performance compared to the former generation. # ⚓ CNX Software ☛ Silicon_Labs_BG22E,_MG22E,_FG22E_wireless MCUs_target_energy_harvesting,_battery-free_IoT_devices⠀⇛ Silicon Labs xG22E is a family of wireless SoCs consisting of the BG22E, MG22E, and FG22E and designed to operate within an ultra-low power envelope required for battery-free, energy harvesting applications such as electronic shelf labels, Smart Home sensors, remote controls, and so on. Like the just-announced Silicon Labs MG26, BG26, and PG26, the new xG22E family features a Cortex-M33 core clocked up to 76.8MHz. # ⚓ Hackaday ☛ Sticky_Situation_Leads_To_Legit_LEGO_Hack⠀⇛ [samsuksiri] frequently uses a laptop and has an external drive to store projects. The drive flops around on the end of its tether and gets in the way, so they repurposed their old iPod pouch and attached it to the laptop lid with double-sided tape. You can guess how that went — the weight of the drive caused the pocket to sag and eventually detach over time. o § Health/Nutrition/Agriculture⠀➾ # ⚓ Reason ☛ New_Georgia_Law_Allows_Birthing_Centers_To_Open Without_Needing_Permission_From_Nearby_Hospitals⠀⇛ Certificate of need laws were supposed to ensure high-quality health care in rural places. Instead, they allowed hospitals to veto potential competitors. # ⚓ Latvia ☛ Sand,_smoke_and_salt_all_find_their_way_to_Latvia via_the_atmosphere⠀⇛ A recent episode in which Saharan dust ride earth's upper atmosphere and descended upon Latvian soil in early April, is not uncommon, and it is not the only natural source of transboundary pollution that can be expected, according to Latvian Radio's 'Known unknown' science show. # ⚓ Omicron Limited ☛ Sugar_in_baby_food:_Why_Nestlé_needs_to be_held_to_account_in_Africa⠀⇛ The World Health Organization has called for a ban on added sugar in products for babies and young children under three years of age. # ⚓ NYPost ☛ NYC_rule_will_slap_sugar_warning_labels_on_food, drinks_including_Starbucks,_Dunkin'_specialties⠀⇛ The city Health Department’s first-in-the-nation edict will mean labels warning on food and drinks with more than 50 grams of added sugar, including frozen coffee drinks from places like Starbucks and Dunkin’ Donuts, fountain sodas and even hot chocolate. # ⚓ Patrick Breyer ☛ Pirates_call_for_a_halt_to_plans_for_the EU_health_data_space⠀⇛ “We Pirates support the idea of an EU health data space, but not at the price of sacrificing patient control and medical confidentiality in favour of government, big pharma and big tech data access. The EU’s health data space can benefit cross-border treatments and medical progress – but these advantages could have been had by relying on patient consent and full anonymisation, which the final agreement fails to ensure. The agreed design of the regulation is against the clear will of the people. We Pirates stand up for patient rights and reject this sell-out of their health data. Information about our physical and mental health is extremely sensitive and reveals our addictions, mental disorders, abortions, sexually transmitted diseases and reproductive disorders. If we cannot rely on such information being treated confidentially by our doctors, we may no longer seek treatment, and the risk of suicide by some patients may increase. # ⚓ Brandon ☛ Maybe_It_Does_Pay_Off⠀⇛ Part of me wondered if philosophy was truly good for me. I actually journaled out my experiences with both philosophy and religion and came to the conclusion that I always end up a bit too deep. I contemplated swearing off any serious contemplation going forward and just trying to live a mundane, distracted life since maybe a pursuit of peace is not good for me. Maybe I just can't handle such a concept. # ⚓ Omicron Limited ☛ High_air_pollution_in_Denmark_may_impact children's_academic_performance⠀⇛ You probably don't think about it, but in most parts of the country the air we breathe is anything but clean. In most parts of Denmark air pollution is double the recommended WHO level, with the highest levels found in heavily trafficked cities and southern Denmark, which is affected by polluted air blowing in from the south. # ⚓ Geoff_Pain_vs._The_Wellness_Company_and_RFK_Jr.:_I_do_so love_a_good_crank_fight!⠀⇛ If there’s one thing that I enjoy immensely in this world, it’s a good crank fight. The surprising thing to most people is how seldom one crank conspiracy theorist will turn on another, given how often the conspiracy theories, pseudoscience, quackery, and misinformation peddled by different cranks is mutually contradictory or even mutually exclusive. These mutual incompatibilities seldom trouble cranks, because, according to the principle of syncretism, cranks like antivaxxers (to pick one example) don’t really have a problem with all the mutually inconsistent “theories” of how vaccines cause autism and all the other health issues for which they blame vaccines. As long as the “truth” that vaccines are bad is at the core of these “theories,” antivaxxers accept them, no matter how mutually contradictory they are. For antivaxxers, the “truth” has already been spelled out. So it is that the various antivax factions with different false ideas of how vaccines harm people exist in relative peace, at least until they do not. One example came across my feed the other day, that of Geoff Pain, who on his Substack proclaims When the Cat’s away, the Mice will play! Children’s Health Defense California Hijacked by Big Pharma. o § Proprietary/Artificial Intelligence (AI)⠀➾ # ⚓ The Street ☛ Spotify_CEO_is_shocked_by_negative_impact_of recent_layoffs⠀⇛ Spotify (SPOT) CEO Daniel Ek has just revealed that he was surprised by the consequences of the company’s layoffs in December. During a recent earnings call discussing Spotify’s first-quarter earnings for 2024, Ek claimed that the decision to lay off 17% of the company’s workforce negatively affected day-to-day operations more than expected. “Another significant challenge was the impact of our December workforce reduction,” said Ek during the call. “Although there's no question that it was the right strategic decision, it did disrupt our day-to-day operations more than we anticipate. It took us some time to find our footing, but more than four months into this transition, I think we're back on track.” # ⚓ Daily Dot ☛ ‘Let’s_talk_raises._Let’s_talk_more_bonuses’: Tech_company’s_all-hands_meeting_goes_great._Then_85%_of staffers_get_laid_off⠀⇛ A tech worker reports being part of a mass layoff at the company she worked for—after they were all told in a call that things were going great and that they could expect raises and bonuses soon. # ⚓ Gaming_Industry_Battles_Layoffs_–_Content_Drought_Looms⠀⇛ From Sega to Microsoft, industry giants are reducing their workforces at an alarming rate, raising concerns about the future continuity of game content. # ⚓ Public Knowledge ☛ Public_Knowledge_Joins_More_Than_80 Groups_Urging_Congress_To_Support_NIST_Funding_Request_for Responsible_Hey_Hi_(AI)_Innovation⠀⇛ The joint advocacy effort calls for the establishment of an effective Hey Hi (AI) governance framework through NIST. # ⚓ CoryDoctorow ☛ Pluralistic:_“Humans_in_the_loop”_must detect_the_hardest-to-spot_errors,_at_superhuman_speed⠀⇛ Eventually, the industry will have to uncover some mix of applications that will cover its operating costs, if only to keep the lights on in the face of investor disillusionment (this isn't optional – investor disillusionment is an inevitable part of every bubble). # ⚓ New York Times ☛ In_Ukraine,_New_American_Technology_Won the_Day._Until_It_Was_Overwhelmed.⠀⇛ So far the results are mixed: Generals and commanders have a new way to put a full picture of Russia’s movements and communications into one big, user-friendly picture, employing algorithms to predict where troops are moving and where attacks might happen. # ⚓ Matthew J Ernisse ☛ Moving_to_Panix,_Goodbye_DigitalOcean⠀⇛ Broadly speaking, DigitalOcean has been good to me over the years. They seem reasonably priced compared to AWS and Azure and they are not Amazon, Microsoft, or Google so they have that going for them. If you are looking for a cloud provider as opposed to a VPS host you could do worse, but if you just need a VPS give Panix a look — I had some whacky networking issues yesterday while setting up the DNS server and their staff were extremely responsive, something I suspect I wouldn't get if I needed the help from a big provider like DO. # ⚓ Jim Nielsen ☛ The_Big_Sur-ification_of_macOS_Icons⠀⇛ That always felt like a bit of a shame when compared to the alternative: take an opportunity to imagine a new expression of your brand/logo/icon in the context and constraints of macOS Big Sur’s new icon template (i.e. the squircle). # ⚓ Ruben Schade ☛ Joseph_Weizenbaum_on_AI_psychotherapy⠀⇛ Also reminds me of that IBM slide from 1979: "A computer can never be held accountable. Therefore a computer must never make a management decision." # ⚓ Daniel Stenberg ☛ Six_billion_docker_pulls⠀⇛ We provide an official curl container. Why would you use curl in a container? We actually don’t ask, we just provide the image, but I can think of a few reasons… # ⚓ MIT Technology Review ☛ Almost_every_Chinese_keyboard_app has_a_security_flaw_that_reveals_what_users_type⠀⇛ These apps help users type Chinese characters more efficiently and are ubiquitous on devices used by Chinese people. The four most popular apps—built by major internet companies like Baidu, Tencent, and iFlytek—basically account for all the typing methods that Chinese people use. Researchers also looked into the keyboard apps that come preinstalled on Android phones sold in China. What they discovered was shocking. Almost every third-party app and every Android phone with preinstalled keyboards failed to protect users by properly encrypting the content they typed. A smartphone made by Huawei was the only device where no such security vulnerability was found. # ⚓ Wired ☛ ShotSpotter_Keeps_Listening_for_Gunfire_After Contracts_Expire⠀⇛ But ending the contract may not be enough to remove the company’s more than 2,500 sensors from neighborhoods on the city’s South and West Sides, where they’re disproportionately located. Internal emails reviewed by South Side Weekly and WIRED suggest that ShotSpotter keeps its sensors online and, in some instances, provides gunshot-detection alerts to police departments in cities where its contracts have expired or been canceled. The emails raise new questions about whether the more than 2,500 sensors in Chicago will be turned off and removed, regardless of Johnson’s decision. # ⚓ 404 Media ☛ Nurses_Protest_'Deeply_Troubling'_Use_of_AI_in Hospitals⠀⇛ “It is deeply troubling to see Kaiser promote itself as a leader in AI in healthcare, when we know their use of these technologies comes at the expense of patient care, all in service of boosting profits,” Michelle Gutierrez Vo, a co-president of the California Nurses Association (CNA), said in a statement at the time. “We demand that workers and unions be involved at every step of the development of data-driven technologies and be empowered to decide whether and how AI is deployed in the workplace.” # ⚓ The Register UK ☛ Apple_releases_OpenELM,_a_slightly_more accurate_LLM⠀⇛ It's not by much – compared to OLMo, which debuted in February, OpenELM is 2.36 percent more accurate while using 2x fewer pretraining tokens. But it's perhaps enough to remind people that Apple is no longer content to be the wallflower at the industry AI rave. Apple's claim to openness comes from its decision to release not just the model, but its training and evaluation framework. # ⚓ arXiv ☛ [2404.14619v1]_OpenELM:_An_Efficient_Language_Model Family_with_Open-source_Training_and_Inference_Framework⠀⇛ The reproducibility and transparency of large language models are crucial for advancing open research, ensuring the trustworthiness of results, and enabling investigations into data and model biases, as well as potential risks. To this end, we release OpenELM, a state-of-the-art open language model. OpenELM uses a layer-wise scaling strategy to efficiently allocate parameters within each layer of the transformer model, leading to enhanced accuracy. [...] # ⚓ Silicon Angle ☛ Apple_researchers_open-source_OpenELM language_model_series⠀⇛ Apple’s OpenELM series comprises four models with varying capabilities. The smallest model features 270 million parameters, while the most advanced packs about 1.1 billion. Apple trained the four neural networks on a dataset with about 1.8 trillion tokens, units of data that each contain a few characters. # ⚓ Hugging Face, Inc ☛ apple/OpenELM_·_Hugging_Face⠀⇛ We introduce OpenELM, a family of Open-source Efficient Language Models. OpenELM uses a layer- wise scaling strategy to efficiently allocate parameters within each layer of the transformer model, leading to enhanced accuracy. We pretrained OpenELM models using the CoreNet library. We release both pretrained and instruction tuned models with 270M, 450M, 1.1B and 3B parameters. # ⚓ Hugging Face, Inc ☛ Paper_page_-_OpenELM:_An_Efficient Language_Model_Family_with_Open-source_Training_and_Inference Framework⠀⇛ [...] Our source code along with pre-trained model weights and training recipes is available at [...] # § Licensing / Legal⠀➾ # ⚓ The Register UK ☛ Euro_cloud_group_blasts_Broadcom over_VMware_licensing⠀⇛ Euro cloud trade body CISPE has hit back at concessions offered by Broadcom over VMware licensing, saying these do not address key issues that led it to lobby the European Commission into investigating. CISPE, or Cloud Infrastructure Services Providers in Europe, claimed that Broadcom is trying to "obfuscate the main issues in this dispute" by framing its licensing changes as pro-competition and pro-innovation, and ignoring concerns about price hikes and tying products together. o § Security⠀➾ # § Integrity/Availability/Authenticity⠀➾ # ⚓ TwinCities Pioneer Press ☛ Minnesota_sues_Fridley used_car_dealership_for_misrepresenting_vehicles,_other fraudulent_practices⠀⇛ The dealership, Midwest Car Search, and its owner, Scott Spiczka, were named in the lawsuit, which seeks to provide restitution for customers and to stop the alleged illegal business practices of the dealership. # ⚓ Scoop News Group ☛ Democratic_operative_behind_Biden Hey_Hi_(AI)_robocall_says_lawsuit_won’t_‘get anywhere’⠀⇛ Steve Kramer tells CyberScoop he hasn’t seen the lawsuit filed against him over the New Hampshire primary robocall, but it won’t be successful. # § Privacy/Surveillance⠀➾ # ⚓ Patrick Breyer ☛ Pirates:_EU_cash_cap_and_ban_on anonymous_hosted_crypto_wallets_results_in_financial paternalism⠀⇛ Instead, we need to think about ways we can bring the best attributes of cash into our digital future. We have a right to pay and donate online without our personal transactions being recorded. If the EU believes it can regulate virtual currencies at a regional level, it hasn’t understood the global nature of the Internet.” # ⚓ EDRI ☛ Modernised_ePrivacy_legislation_must_protect fundamental_rights⠀⇛ In January 2017, the European Commission proposed an update to the 2002 ePrivacy Directive, the ePrivacy Regulation, aimed at establishing new rules governing the confidentiality of electronic communications and the use of cookies and other online tracking technologies. Seven years later, EU member states and corporations have successfully blocked this critical reform, despite the desires of civil society and individuals who openly advocate for enhanced privacy and security in online communications. # ⚓ The Register UK ☛ Google_pushes_third-party_cookie phase-out_back_to_2025⠀⇛ Google's plan to phase out third-party cookies in Chrome is being postponed to 2025 amid wrangling with the UK's Competition and Markets Authority (CMA) and Information Commissioner's Office (ICO). The US ad search and cloud giant noted the challenges in "reconciling divergent feedback" over its plans and the need to ensure the CMA has time to "review all evidence." # ⚓ The Register UK ☛ Australian_authorites_call_for_Big Tech_help_with_decryption⠀⇛ The two bosses yesterday appeared together at Australia’s National Press Club. # ⚓ The Hill ☛ Grindr_sold_HIV_status_of_“potentially thousands”_of_users_to_advertisers,_lawsuit_says⠀⇛ In the suit, which was filed in the U.K., the plaintiffs alleged Grindr disclosed user information about their health, sex lives and sexual orientation to advertisers without user knowledge — breaching data protection laws. # ⚓ Kansas Reflector ☛ Kansas_school_district_deployed spyware._Teen_journalists_pushed_back,_but_what_about the_others?⠀⇛ You know, the ones who don’t take journalism classes. What about all the students who still use devices running surveillance software from a company called Gaggle? As Smith reported, the company uses an artificial intelligence program to scan material on students’ school iPads and linked Google accounts. If the AI flags a message or image of concern, the material is then reviewed by a human — Smith found job listings for Gaggle reviewers starting at $10 an hour. # ⚓ [Repeat] New York Times ☛ How_G.M._Tricked_Millions of_Drivers_Into_Being_Spied_On_(Including_Me)⠀⇛ Automakers have been selling data about the driving behavior of millions of people to the insurance industry. In the case of General Motors, affected drivers weren’t informed, and the tracking led insurance companies to charge some of them more for premiums. I’m the reporter who broke the story. I recently discovered that I’m among the drivers who was spied on. # ⚓ Federal Trade Commission ☛ FTC_Announces_Rule_Banning Noncompetes_|_Federal_Trade_Commission⠀⇛ “Noncompete clauses keep wages low, suppress new ideas, and rob the American economy of dynamism, including from the more than 8,500 new startups that would be created a year once noncompetes are banned,” said FTC Chair Lina M. Khan. “The FTC’s final rule to ban noncompetes will ensure Americans have the freedom to pursue a new job, start a new business, or bring a new idea to market.” The FTC estimates that the final rule banning noncompetes will lead to new business formation growing by 2.7% per year, resulting in more than 8,500 additional new businesses created each year. The final rule is expected to result in higher earnings for workers, with estimated earnings increasing for the average worker by an additional $524 per year, and it is expected to lower health care costs by up to $194 billion over the next decade. In addition, the final rule is expected to help drive innovation, leading to an estimated average increase of 17,000 to 29,000 more patents each year for the next 10 years under the final rule. # ⚓ The Record ☛ FTC_commercial_surveillance_rules_could arrive_within_months,_sources_say⠀⇛ The Federal Trade Commission (FTC) is aiming to roll out its long-awaited proposed rules governing commercial surveillance in the next few months, with a focus on ensuring that companies properly handle the data they harvest from the apps, websites and devices that consumers use. According to two sources familiar with the agency’s plans, the rules will emphasize data security and data minimization, or the idea that companies should only collect the data they need to conduct business with consumers and delete it when business concludes. Other areas of concentration will include algorithmic accountability — or the concept that companies should face consequences for actions taken based on decisions by algorithms — and the related issue of how to protect consumers’ civil rights from algorithmic errors. # ⚓ India Times ☛ Australia_spy_boss:_Australia's_spy boss_seeks_more_co-operation_from_big_tech_in_hunt_for extremists⠀⇛ Burgess, the director-general of security for the Australian Security Intelligence Organisation, will urge tech platforms to give the agency access to user messages, which Australian law allows in limited circumstances on the basis of a warrant. # ⚓ Deutsche Welle ☛ Spain:_Court_reopens_investigation in_Pegasus_spying_scandal⠀⇛ Spain's High Court on Tuesday ordered the reopening of an investigation into the alleged hacking of Prime Minister Pedro Sanchez and other Spanish politicians' phones with Pegasus spyware. The investigation was launched in 2022 when the government said software from the Israeli firm NSO Group was used to spy on ministers, triggering a political crisis in Spain. The probe was shelved last year over "the complete lack of legal cooperation" from Israel. After receiving new information from French judicial authorities, Judge Jose Luis Calama decided to reopen Spain's investigation. # ⚓ Reason ☛ Ford_Fischer:_Why_You_Should_Surveil_the State⠀⇛ The News2Share cofounder is revolutionizing news coverage. # § Confidentiality⠀➾ # ⚓ Citizen Lab ☛ Chinese_Keyboard_App_Vulnerabilities Explained_-_The_Citizen_Lab⠀⇛ As a result, all Chinese keyboards use some amount of prediction. By default, the prediction capabilities are limited by your phone’s hardware. To overcome this limitation, Chinese keyboards often offer “cloud-based” prediction services which transmit your keystrokes to a server that hosts more powerful prediction models. As many have previously pointed out, this is a massive privacy tradeoff, as “cloud-based” keyboards and input methods can function as vectors for surveillance and essentially behave as keyloggers. We note that this report is not about how operators of cloud-based keyboards can read users’ keystrokes, which is a phenomenon that has already been extensively studied and documented. This report is primarily concerned with protecting this keystroke data from network eavesdroppers. # ⚓ Citizen Lab ☛ The_not-so-silent_type:_Vulnerabilities across_keyboard_apps_reveal_keystrokes_to_network eavesdroppers_-_The_Citizen_Lab⠀⇛ We analyzed the security of cloud-based pinyin keyboard apps from nine vendors — Baidu, Honor, Huawei, iFlytek, OPPO, Samsung, Tencent, Vivo, and Xiaomi — and examined their transmission of users’ keystrokes for vulnerabilities. Our analysis revealed critical vulnerabilities in keyboard apps from eight out of the nine vendors in which we could exploit that vulnerability to completely reveal the contents of users’ keystrokes in transit. Most of the vulnerable apps can be exploited by an entirely passive network eavesdropper. o § Defence/Aggression⠀➾ # ⚓ Democracy Now ☛ Cuban_Deputy_Foreign_Minister:_Deliberate U.S._Policy_of_“Destroying_Cuban_Economy”_Drives_Migration⠀⇛ We speak with Carlos Fernández de Cossío, Cuba’s deputy minister of foreign affairs, about high- level U.S.-Cuban migration talks held last week in Washington. He says U.S. policies that expedite permanent residency for Cubans in the United States play a major role in the movement of people between the two countries, but adds that the main driver of migration is the decadeslong U.S. embargo. “The economic conditions of the people of Cuba push them to migrate, and an important fact in provoking those conditions are U.S. deliberate policies of destroying the Cuban economy and make it unworkable.” Fernández de Cossío also discusses the 2024 election and policy overlap between the Trump and Biden administrations, Cuba’s position on the U.S.-backed Israeli war on Gaza, recent protests inside Cuba over living conditions and more. # ⚓ The Hill ☛ TikTok_halting_reward_feature_after_pressure from_EU_regulators⠀⇛ TikTok will halt a feature that rewards its app users in France and Spain for watching videos in the wake of scrutiny from European Commission regulators. # ⚓ The Register UK ☛ Ads_on_.gov.uk_websites_raise_eyebrows over_privacy⠀⇛ At least 18 public-sector websites in the UK and US send visitor data in some form to various web advertising brokers – including an ad-tech biz in China involved in past privacy controversies, a security firm claims. Silent Push, which identified the websites, will today argue in a report provided to The Register that this raises concerns about compliance with rules limiting ads on government websites as well as concerns about online privacy. # ⚓ The Register UK ☛ US_Senate_passes_law_requiring_ByteDance to_divest_TikTok⠀⇛ The bill – formally known as the Protecting Americans from Foreign Adversary Controlled Applications Act, or PFACAA as we call it – passed 79 votes to 18 in the Senate on Tuesday US time having earlier been rubber-stamped by the House. The act was bundled into HR 815 – a law that among other things authorizes military funding to support Ukraine, Israel, and Taiwan. The act defines just one source of foreign adversary-controlled applications – namely, anything produced by ByteDance, TikTok, or related entities – though it also gives US presidents the power to name more. ByteDance and its TikTok unit earned the designation as it is feared the app could ultimately be used by Beijing to manipulate and snoop on Americans and spread misinformation. Chinese social media, by contrast, is largely closed to outsiders. # ⚓ Los Angeles Times ☛ How_will_legislation_banning_TikTok affect_the_music_industry?⠀⇛ The Senate bill gives TikTok’s Chinese parent firm ByteDance nine months to sell TikTok, with a possible three-month extension if a sale is imminent. The bill also stops the company from controlling TikTok’s algorithm, its uncannily compelling recommendation engine for new videos. The bill, passed 79-18, was part of a $95-billion package that also provides aid to Ukraine and Israel. The House of Representatives already passed similar legislation last week, citing concerns about data security and foreign influence. President Biden said he will sign it Wednesday. # ⚓ CS Monitor ☛ Biden_signed_the_TikTok_ban_bill._Here’s_what comes_next.⠀⇛ The 270-day period will end around the inauguration of the next president of the United States, on Jan. 20, 2025, likely leaving the decision on an extra three months either to Mr. Biden, a Democrat, who is seeking reelection, or Republican front-runner Donald Trump. # ⚓ New York Times ☛ Biden_Signs_TikTok_Ban_Bill_Into_Law. Here’s_What_Happens_Next.⠀⇛ Congress passed the measure citing national security concerns because of TikTok’s Chinese ties. Both lawmakers and security experts have said there are risks that the Chinese government could lean on ByteDance for access to sensitive data belonging to its 170 million U.S. users or to spread propaganda. The law would allow TikTok to continue to operate in the United States if ByteDance sold it within 270 days, or about nine months, a time frame that the president could extend to a year. # ⚓ Digital Music News ☛ TikTok_Ban_Bill_Signed_Into_Law_--_Let the_Legal_Battle_Begin⠀⇛ While the House had already given the green light to the TikTok ban bill before the weekend passage, the first vote was for an initial iteration that would have afforded ByteDance six months to divest from or shut down the video-sharing app in the States. # ⚓ Digital Music News ☛ Where_Will_You_Stand_After_the_TikTok Ban?⠀⇛ The legislation springs from national security concerns regarding Chinese access to American user data and the potential for propaganda dissemination. Teenage TikTokers aren’t sold on the seriousness of the threat, though their votes only have so much impact here — literally. # ⚓ Wired ☛ TikTok’s_Creator_Economy_Stares_Into_the_Abyss⠀⇛ The version of TikTok impacted by the legislation is not the same platform that then-president Donald Trump first tried to abolish back in 2020, citing national security concerns about its links to China. TikTok, its user base, and the ecosystem of creators making a living from the platform have grown, transformed, and matured since then. And the potential consequences of the app disappearing have become more significant. # ⚓ The Atlantic ☛ Welcome_to_the_TikTok_Meltdown⠀⇛ The government’s case against TikTok is vague. Broadly speaking, the concern from lawmakers —offered without definitive proof of any actual malfeasance—is that the Chinese government can use TikTok, an extremely popular broadcast and consumption platform for millions of Americans, to quietly and algorithmically promote propaganda, potentially meddling in our nation’s politics. According to the U.S. State Department, the Chinese government is set on using its influence to “reshape the global information environment” and has long manipulated information, intimidated critics, and used state-run media to try to bolster the Communist Party of China’s reputation abroad. Lawmakers have also cited privacy concerns, suggesting that TikTok could turn American user data over to the CPC—again without definitive proof that this has ever occurred. # ⚓ The Verge ☛ TikTok_will_stop_paying_people_to_watch_videos every_day⠀⇛ TikTok Lite is designed as a lightweight alternative to the main TikTok app for easier use on slow [Internet] connections. It has been available in parts of Asia for years and became available in France and Spain earlier this month. Inside the app is a rewards hub that pays users in “coins” for doing things like logging in, watching ads, and liking videos. Coins can be redeemed for things like Amazon vouchers and PayPal gift cards. But you have to do a whole lot of engaging to make any significant amount of money — an hour of watching videos only earns about 36 euro cents (or 38 cents). # ⚓ Deutsche Welle ☛ TikTok_meets_EU_deadline_over_reward-to- watch_feature⠀⇛ TikTok Lite, a slimmed down version of TikTok, launched in France and Spain. It is optimized for slower [Internet] connections and uses less memory. It also also rewards adult users who spend time on the app with points that can be redeemed for vouchers or gift cards. The Commission wanted to know how the Chinese-owned video-sharing platform assessed the addictiveness and mental health risks of the rewards scheme, particularly for children, before it was launched. # ⚓ The Hill ☛ Senate_poised_to_pass_bill_that_could_ban_TikTok  ⠀⇛ The Senate voted 80-19 to limit debate on the package, which includes a provision that would force TikTok’s China-based parent company ByteDance to sell the app or face a ban from U.S. devices and networks. # ⚓ The Hill ☛ Biden_signed_a_bill_that_could_ban_TikTok._What happens_next?⠀⇛ ByteDance will have up to a year to find a buyer, but the process is likely to be marred by Chinese rules dictating the export of technology and a court challenge from TikTok. # ⚓ The Kent Stater ☛ Congress_just_passed_a_potential_TikTok ban._Here’s_what_happens_next⠀⇛ In recent years, China has implemented export controls governing algorithms, a policy that would seem to cover the incredibly successful algorithm that powers TikTok’s recommendation engine. If the Chinese government doesn’t want to let ByteDance relinquish TikTok’s algorithm, the thinking goes, it could block the sale outright. Alternatively, it may allow TikTok to be sold but without the lucrative algorithm that forms the basis for its popularity. # ⚓ Reuters ☛ China_acquired_recently_banned_Nvidia_chips_in Super_Micro,_Dell_servers,_tenders_show⠀⇛ Specifically, the servers contained some of Nvidia's most advanced chips, according to the previously unreported tenders fulfilled between Nov. 20 and Feb. 28. While the U.S. bars Nvidia and its partners from selling advanced chips to China, including via third parties, the sale and purchase of the chips are not illegal in China. The 11 sellers of the chips were little-known Chinese retailers. Reuters could not determine whether, in fulfilling the orders, they used stockpiles acquired before the U.S. tightened chip-export restrictions in November. # ⚓ The Register UK ☛ Nvidia_GPUs_sneak_into_sanction-busting Chinese_servers⠀⇛ According to the report, 10 groups purchased the Nvidia-powered servers, including the Chinese Academy of Sciences, the Heilongjiang local government's tech investment company, and an aviation research center. There were 11 sellers involved, though none of them are big names in the hardware retail industry. It's not clear if these servers were already available for sale in China before any relevant export rules came into effect, or if they somehow dodged customs and made their way to the Middle Kingdom after the bans were put in place. Nvidia said that the GPUs in question were available before regulations were put in place, and that their sale wasn't proof that any export laws were broken by it or its partners. # ⚓ Deutsche Welle ☛ Germany_sees_spike_in_Chinese_and_Russian espionage⠀⇛ The press office of Germany's Federal Prosecutor is a hive of activity these days: "Arrest for suspected secret service agent activity" — read the headline of a press release from April 23, 2024. A press release from the day before had exactly the same headline. All four suspects — three men and one woman — are alleged to have spied for China. # ⚓ VOA News ☛ China’s_global_lending_lures_countries_into_a debt_trap⠀⇛ “No country has fallen into debt difficulties because of cooperation with China,” Lin Ming, the agency’s spokesperson said on April 18. This is false. At least two countries, Zambia and Sri Lanka have gone into default and declared bankruptcy, mainly due to their inability to pay high interest rates on their debts to China. About a dozen developing countries now owe more than 10% of their GDP to China’s state creditors. In a dozen countries most indebted to China, paying back the debt is “consuming an ever-greater amount of the tax revenue needed to keep schools open, provide electricity and pay for food and fuel,” The Associated Press reports. # ⚓ Associated Press ☛ China's_loans_pushing_world’s_poorest countries_to_brink_of_collapse⠀⇛ An Associated Press analysis of a dozen countries most indebted to China — including Pakistan, Kenya, Zambia, Laos and Mongolia — found paying back that debt is consuming an ever-greater amount of the tax revenue needed to keep schools open, provide electricity and pay for food and fuel. And it’s draining foreign currency reserves these countries use to pay interest on those loans, leaving some with just months before that money is gone. # ⚓ Axios ☛ Trump_again_tempts_his_fate_on_New_York_gag_order⠀⇛ Trump also quoted Fox News host Jesse Watters in a post: "They are catching undercover Liberal Activists lying to the Judge in order to get on the Trump Jury." • There's no evidence for that claim. What they're saying: Some legal analysts think Merchan will treat such antics as if Trump had delivered the criticisms himself. # ⚓ Kansas Reflector ☛ NY_judge_spars_with_Trump_lawyers_over gag_order_in_criminal_trial⠀⇛ Trump has routinely posted on his social media platform, Truth Social, to complain about the case, despite a gag order that prohibits him from making public statements about potential witnesses. Trump faces 34 felony counts of falsifying business records for reimbursing his attorney and personal fixer at the time, Michael Cohen, for a $130,000 payment to adult film star Stormy Daniels. It is the first criminal trial against a former U.S. president. Trump has posted on social media to criticize Cohen and Daniels, as well as reposting articles and video clips that disparage the case entirely. # ⚓ Sightline Media Group ☛ Jury_deliberating_in_Abu_Ghraib case;_contractor_casts_blame_on_Army⠀⇛ The suit alleges that civilian interrogators supplied by CACI to Abu Ghraib contributed to the torture the plaintiffs by conspiring with military police to “soften up” detainees for interrogations. # ⚓ Atlantic Council ☛ American_Hit_Squad_in_Yemen⠀⇛ Host and Nonresident Senior Fellow Alia Brahimi speaks with BillBC investigative journalist Nawal Al-Maghafi about her film on American mercenaries in Yemen. # ⚓ France24 ☛ ‘Ugly_speech’_but_not_a_surprise:_Modi_accused of_anti-Muslim_rhetoric_on_campaign_trail⠀⇛ Indian Prime Minister Narendra Modi’s campaign speech over the weekend calling the country’s Muslims “infiltrators” has sparked an outcry ahead of the second phase of the multiphase vote. But while Irfan Nooruddin from Georgetown University concedes it was incendiary, he notes that it comes as no surprise. # ⚓ New York Times ☛ Congress_Passed_a_Bill_That_Could_Ban TikTok._Now_Comes_the_Hard_Part.⠀⇛ After President Biden signs the bill to force a sale of the video app or ban it, the legislation will face court challenges, a shortage of qualified buyers and Beijing’s hostility. # ⚓ The Straits Times ☛ Modi_accused_of_hate_speech_by_his opponents,_analysts_say_possible_shift_in_polls_strategy⠀⇛ Over 17,400 citizens have written to the Election Commission seeking action against Mr Modi. # ⚓ Hong Kong Free Press ☛ Alleged_Hong_Kong_bomb_plot_during 2019_protests_could_have_caused_heavy_casualties,_prosecution says⠀⇛ An alleged bomb plot to murder police officers during the 2019 protests and unrest in Hong Kong could have caused heavy casualties, the prosecution has said in the city’s first trial under an anti- terrorism act. # ⚓ JURIST ☛ India’s_largest_opposition_party_urges_election commission_action_against_Modi’s_alleged_hate_speech⠀⇛ The Indian National Congress (INC), the primary opposition party in India, formally lodged complaints with the Election Commission of India on Monday, denouncing Prime Minister Narendra Modi’s remarks delivered during a recent campaign address. # ⚓ The Strategist ☛ Tech_industry_is_the_new_defence industrial_base⠀⇛ Developments in nascent technology areas such as quantum computing, biotechnology and artificial intelligence (AI), are predominately happening in the private sector, where there is a higher concentration of talent, capital and competition. # ⚓ ADF ☛ Ethiopia_Teeters_Amid_Ethnic_Conflicts⠀⇛ Gunfire echoed between sleek glass buildings in Addis Ababa on April 12. The city’s relative peace was shattered by a shootout between security forces and three members of an Amhara militant group. One of Ethiopia’s many ethnic and regional conflicts had spilled into the capital city, exposing ongoing nationwide security concerns. # ⚓ Defence Web ☛ Global_terrorism_deaths_on_the_increase⠀⇛ Global deaths from terrorism have risen to their highest level since 2017, with 8 352 deaths recorded in 2023, a new report has found. # ⚓ The Straits Times ☛ North_Korea_leader_Kim's_sister:_We will_build_overwhelming_military_power⠀⇛ She said a series of US military drills are driving the regional security environment into a dangerous turmoil. # ⚓ JURIST ☛ Vietnam_public_security_ministry_arrests_assistant of_National_Assembly_chairman⠀⇛ Vietnam’s Ministry of Public Security on Monday arrested Pham Thai Ha, assistant to the country’s National Assembly chairman. # ⚓ RFA ☛ North_Korea_sends_officials_to_Iran_amid_suspected military_cooperation⠀⇛ The delegation is led by Yun Jong Ho, who has been active in the country’s increasing exchanges with Russia. # § Russia, Belarus, and War in Ukraine⠀➾ # ⚓ RFERL ☛ Russia_Vetoes_UN_Resolution_Calling_For Prevention_Of_Nuclear_Arms_Race_In_Space⠀⇛ Russia on April 24 vetoed a UN resolution sponsored by the United States and Japan calling on all nations to prevent a dangerous nuclear arms race in outer space. # ⚓ RFERL ☛ Russian_Court_Orders_Seizure_Of_JPMorgan Chase_Funds_In_VTB_Lawsuit⠀⇛ A Russian court has ordered the seizure of funds in JPMorgan Chase bank accounts in Russia, court filings showed on April 24, in a lawsuit filed by state-owned bank VTB as it seeks to regain funds blocked abroad. # ⚓ teleSUR ☛ NATO_Drills_Near_Russian_Border_Increase Risks_of_Conflict⠀⇛ Russia is keeping a close watch on the Collective West's aggressive actions, Zakharova warned. # ⚓ RFERL ☛ Another_Former_Wagner_Fighter_Imprisoned_For Crime_In_Russia⠀⇛ A court in Russia's Kirov region sentenced a former fighter with the Wagner mercenary group on April 24 for murdering and raping a woman. # ⚓ Latvia ☛ Rīga_to_host_Crimea_platform_in_Fall⠀⇛ Speaker of the Saeima, Daiga Mieriņa, has invited the speakers of the other EU member states to attend the third parliamentary summit of the international Crimea platform, which will take place in Rīga in October. # ⚓ Meduza ☛ Russia’s_FSB_jailed_Konstantin_Kochanov_and promised_him_treason_charges._Then_investigators_made_a crucial_paperwork_error._—_Meduza⠀⇛ # ⚓ Meduza ☛ ‘Deceptively_close’:_Fearing_mobilization, some_Ukrainians_are_risking_a_treacherous_swim_to Romania._Scammers_are_cashing_in._—_Meduza⠀⇛ # ⚓ Meduza ☛ Russian_Orthodox_Church_head_suspends_priest who_led_memorial_service_for_Alexey_Navalny_—_Meduza⠀⇛ # ⚓ Hong Kong Free Press ☛ US_Chief_Sec._Antony_Blinken in_China_to_manage_tensions_and_press_Beijing_on Russia⠀⇛ By Shaun Tandon US Secretary of State Antony Blinken was due in China on Wednesday as the United States ramps up pressure on its main rival over its support for Russia, while seeking to manage tensions between the two powers. # ⚓ LRT ☛ Tighter_controls_stop_Russian_grain_imports into_Lithuania,_but_transit_soars⠀⇛ After tightening controls a month ago, Lithuania has seen grain imports from Russia and Belarus coming almost to a halt, while transit shipments to other EU markets have surged, according to the State Food and Veterinary Service (VMVT). # ⚓ Meduza ☛ ‘Nobody_would_have_arrested_him_for corruption’_Russian_deputy_defense_minister_reportedly charged_with_bribery_as_cover_story_for_treason investigation_—_Meduza⠀⇛ # ⚓ European Commission ☛ Daily_News_24_/_04_/_2024⠀⇛ European Commission Daily news Brussels, 24 Apr 2024 Commission disburses additional €1.5 billion in bridge financing to Ukraine # ⚓ AntiWar ☛ The_North_American_Peace_Movement_at_an Inflection_Point⠀⇛ The North American peace movement is contesting ongoing US wars in Ukraine and Palestine and preparations for war with China. Out of the fog of these wars, a clear anti-imperialist focus is emerging. # ⚓ Reason ☛ Building_on_the_Success_of_Uniting_for Ukraine⠀⇛ A new CBS article details the successes of a program enabling Americans to sponsor Ukrainian migrants fleeing the Russian invasion to live and work in the US. # ⚓ Atlantic Council ☛ A_decentralized_power_grid_can help_Ukraine_survive_Russian_bombardment⠀⇛ Russia is attempting to depopulate large parts of Ukraine by bombing the country's power grid. Ukraine's best chance of survival may lie in a more decentralized energy sector, writes Yuri Kubrushko. # ⚓ France24 ☛ Biden_signs_Ukraine_military_aid_bill_into law,_$1_billion_arms_shipment_imminent⠀⇛ US President Joe Biden on Wednesday signed legislation authorizing $61 billion in military aid for Ukraine, with the Pentagon quickly announcing a new $1 billion package headed for Kyiv, featuring desperately needed air defense and artillery munitions. # ⚓ France24 ☛ Russia,_Ukraine_to_exchange_displaced children_in_Qatar-brokered_deal⠀⇛ Russia and Ukraine have agreed in a Qatari- brokered deal to exchange almost 50 children displaced by Moscow's invasion, the Kremlin's children's rights commissioner Maria Lvova- Belova announced in Doha Wednesday. # ⚓ France24 ☛ US_Senate_passes_$95_billion_aid_package for_Ukraine,_Israel_and_Taiwan⠀⇛ The Senate has passed $95 billion in war aid to Ukraine, Israel and Taiwan, sending the legislation to President Joe Biden after months of delays and contentious debate over how involved the United States should be in foreign wars. # ⚓ University of Michigan ☛ U.S._Ambassador_to_Ukraine gives_lecture_on_war_with_Russia_at_6th_annual Vandenberg_lecture⠀⇛ About 50 University of Michigan community members gathered in Annenberg Auditorium Tuesday afternoon to hear Bridget Brink, U.S. Ambassador to Ukraine, speak on the current status of the Russia-Ukraine war. Brink served as the Ambassador to the Slovak Republic from August 2019 until she became the Ambassador of Ukraine in May 2022. # ⚓ RFERL ☛ U.S._Confirms_It_Sent_Missiles_With_300- Kilometer_Range_To_Ukraine⠀⇛ The U.S. State Department confirmed on April 24 that the United States sent long-range missile systems known as ATACMS to Ukraine for use inside its territory, and the weapons arrived in the country this month. # ⚓ RFERL ☛ Kazakh_Foreign_Minister,_U.K._Foreign Secretary_Hold_Talks_In_Astana⠀⇛ Kazakh Foreign Minister Murat Nurtileu and visiting British Foreign Secretary David Cameron held talks on April 24 in Astana, focusing on bilateral ties, regional security, cooperation, and ongoing war in Ukraine, Kazakh Foreign Ministry said. # ⚓ RFERL ☛ With_Conflicts_Raging_In_Ukraine,_Middle East,_Amnesty_Warns_Rights_Under_Threat⠀⇛ Rights watchdog Amnesty International has warned that world order is under threat amid a wave of international rule breaking, deepening global inequality, superpower rivalries, and accelerating climate change. # ⚓ RFERL ☛ Biden_Signs_Ukraine_Aid_Package,_Says_Weapons Shipments_To_Start_In_Coming_Hours⠀⇛ U.S. President Joe Biden has signed a long- delayed military aid package hours after it was passed by the Senate, saying U.S. military aid will begin flowing again to Ukraine in the next few hours. # ⚓ RFERL ☛ Russian_Anti-War_Activist_Loses_Appeal Against_Conviction⠀⇛ A Russian court on April 24 rejected an appeal filed by anti-war activist Svetlana Marina against a "forced labor" sentence she was handed last month on a charge of discrediting the Russian armed forces. # ⚓ RFERL ☛ UK's_Sunak_To_Discuss_European_Security, Ukraine_With_Scholz_In_Berlin⠀⇛ UK Prime Minister Rishi Sunak will talk defense and security with German Chancellor Olaf Scholz on April 24 when the British leader makes his first trip to Berlin since becoming prime minister 18 months ago. # ⚓ RFERL ☛ Ukraine's_SBU_Hit_Oil_Facilities_in_Russia's Smolensk,_Says_Source⠀⇛ Ukraine's Security Service (SBU) carried out drone strikes early on April 24 that set fire to oil-storage facilities in Russia's Smolensk region, a source familiar with the issue has told RFE/RL. # ⚓ YLE ☛ Kremlin_spokeswoman:_Nato_drills_in_Finland "increase_risk_of_military_incidents"⠀⇛ Finland applied to join the Nato alliance in the wake of Russia's invasion of Ukraine in February 2022. # ⚓ YLE ☛ Wednesday's_papers:_Ukrainian_conscription, Stubbs_in_Sweden,_and_wolves_in_Turku⠀⇛ Ilta-Sanomat went to meet Ukrainians at an assistance depot run by the Ukrainian Association in Finland, hoping to find military age men affected by the country's new conscription law. # ⚓ CS Monitor ☛ Russia_tried_to_stay_on_good_terms_with Iran_and_Israel._Then_they_started_fighting.⠀⇛ Iran creates a unique link between the war in Gaza and the war in Ukraine, where it supplies Russia with arms. That puts the Kremlin in a difficult position in the Middle East. # ⚓ New York Times ☛ Biden_Signs_a_$95.3_Billion_Aid Package_for_Ukraine,_Israel_and_Taiwan⠀⇛ The $95.3 billion measure comes after months of gridlock in Congress that put the centerpiece of President Biden’s foreign policy in jeopardy. # ⚓ New York Times ☛ Justices_Seemed_Split_on_Emergency Abortion_Access⠀⇛ Also, U.S. weapons are headed to Ukraine. Here’s the latest at the end of Wednesday. # ⚓ New York Times ☛ Enduring_Mayhem:_Images_From_Year_3 of_the_War_in_Ukraine⠀⇛ A photographic chronicle of the third year of Russia’s invasion of Ukraine. # ⚓ New York Times ☛ ‘Kharkiv_Is_Unbreakable’:_A_Battered Ukrainian_City_Carries_On⠀⇛ For residents of Ukraine’s second-largest city, daily Russian attacks have escalated fears but have not brought life to a standstill. # ⚓ New York Times ☛ Here’s_How_U.S._Aid_to_Ukraine_Might Help_on_the_Battlefield⠀⇛ Weapons from the support package, considered “a lifeline” for Ukraine’s military, could be arriving on the battlefield within days. # ⚓ New York Times ☛ Thursday_Briefing:_Israel_Seems Poised_to_Invade_Rafah⠀⇛ Also, details of the U.S. aid package to Ukraine and Taylor Swift’s new album. o § Environment⠀➾ # ⚓ Hakai Magazine ☛ The_Waning_Reign_of_the_Wetland_Architect We_Barely_Know_(Hint:_Not_a_Beaver)⠀⇛ Another possibility is that muskrat habitats are changing in fundamental ways. Not only have many wetlands been lost to or degraded by human activity, but those that remain may be isolated, making it difficult for muskrats to travel between them and establish new homes. The importance of dispersal, as such movements are technically known, is neatly illustrated by research from northern Alberta’s vast Peace-Athabasca Delta, where the density of muskrat houses—the rodents often build mud-and-grass huts, counts of which are used as population proxies—has plummeted by 90 percent since the early 1970s. # ⚓ Harvard University ☛ Early_warning_sign_of_extinction?⠀⇛ For hundreds of millions of years, the oceans have teemed with single-celled organisms called foraminifera, hard-shelled, microscopic creatures at the bottom of the food chain. The fossil record of these primordial specks offers clues into future changes in global biodiversity, related to our warming climate. Using a high-resolution global dataset of planktonic foraminifera fossils that’s among the richest biological archives available to science, researchers have found that environmental events leading to mass extinctions are reliably preceded by subtle changes in how a biological community is composed, acting as an early warning signal. # ⚓ NPR ☛ South_Koreans_sue_government_over_climate_change, saying_it's_violating_human_rights⠀⇛ The plaintiffs argue that by not effectively tackling climate change, their government is violating its citizens' human rights. While there are other cases in progress elsewhere, this is the first in Asia to have a public hearing and plaintiffs say that the court's verdict, when it comes, is also likely to be the first in Asia. # ⚓ Hong Kong Free Press ☛ Restaurants_slow_to_adopt_eco- friendly_alternatives_as_Hong_Kong’s_ban_on_single-use plastics_takes_effect⠀⇛ Hong Kong restaurants have been slow to switch to eco-friendly alternatives following the single-use plastics ban enacted on Monday, with many still using disposables. Single-use plastics including straws and utensils are forbidden under the ban. # ⚓ Atlantic Council ☛ The_flaws_in_project-based_carbon_credit trading_and_the_need_for_jurisdictional_alternatives⠀⇛ This issue brief highlights several significant, and at times unresolvable, problems with the project-based approach to carbon credit trading, the purpose of which is to reduce deforestation and sequester carbon. # § Energy/Transportation⠀➾ # ⚓ DeSmog ☛ Big_Oil’s_Dangerous_Radioactive_Secret⠀⇛ # ⚓ DeSmog ☛ UK_Accused_of_‘Helping_Russia’_as_Refined Oil_Imports_From_‘Laundering’_Countries_Remain_at Record_High⠀⇛ # ⚓ Hakai Magazine ☛ In_the_Rush_to_Decarbonize,_the Shipping_Industry_Is_Exploring_Alternative_Fuels⠀⇛ In mid-2023, for example, a new container ship, the US $160-million Laura Maersk, began operating in the Baltic Sea. “It looks like any other container ship,” says Christiansen. But the Laura Maersk has never run on oil. Instead, it’s powered by methanol. There are lots of different ways of producing methanol, and not all are environmentally friendly. However, when sustainably sourced, such as by capturing gas produced at landfill sites or through various processes powered by renewable energy, methanol can be significantly less polluting than fossil fuels. The Laura Maersk is already plying the waters off northern Europe, and more than 200 other ships capable of running on methanol are currently on the order books of shipyards around the world. # ⚓ Lewis Dale ☛ New_bike(s)_day⠀⇛ It’s actually really fun to ride, the gearing is pretty much perfect for my cadence so I’m actually just as quick on it as I was on a road bike. # ⚓ MIT Technology Review ☛ What_tech_learned_from Daedalus⠀⇛ The problem with the Daedalus project, and human-powered aircraft of any kind, is the grueling effort to remain aloft, the risk of crashing, and the expense—none of which was lost on Langford. “In itself, our Daedalus project could never answer the question ‘So what?’” he admits. # ⚓ Los Angeles Times ☛ High-speed_rail_to_Las_Vegas_is coming_as_soon_as_2028⠀⇛ The project, whose construction launched on Earth Day, is expected to cut 800 million pounds of carbon pollution a year once completed, Buttigieg said. Brightline, a private company that operates an intercity rail line connecting Miami and Orlando, Fla., hopes to be the first to run a private high-speed service in the U.S. # ⚓ Futurism ☛ California_Now_Has_So_Much_Solar_Power That_Electricity_Prices_Are_Going_Negative_During_the Day⠀⇛ The real game changer would be if, in the future, the widespread use of batteries and other forms of storage could save any excess solar power generated during the day — meaning the power from sunny days will be able to last well into the nighttime, instead of forcing fossil fuel power plants to spin back up. # ⚓ Politico LLC ☛ Airport_security_line_cutters_are target_of_first-in-the-nation_California_bill⠀⇛ “The least you can expect when you have to go through the security line at the airport is that you don’t suffer the indignity of somebody pushing you out of the way to let the rich person pass you,” Josh Newman, the Democratic lawmaker who authored the bill, told POLITICO. His Republican colleague, Janet Nguyen, expressed similar sentiments about the bill. “I do understand the frustration stated in Senator Newman’s bill,” Nguyen, who sits on the transportation committee, said in an email to POLITICO. “It becomes a haves vs. have nots where those who can afford it jump in front of the rest of us. They even cut in front of TSA Pre-boarding pass travelers who have been screened by the TSA.” # ⚓ Arduino ☛ Creating_a_low-cost_EV_charging_station with_Arduino⠀⇛ The high cost of EV (electric vehicle) chargers may lead you to believe that they’re complex systems. But with the exception of Tesla’s Supercharger, that isn’t true. They’re actually quite simple — basically just glorified switches. All of the nitty gritty charging details are the responsibility of the car’s onboard circuitry. With that in mind, EV owners may want to follow Pedro Neves’ guide on building an affordable Arduino-based charging station. # ⚓ Democracy Now ☛ Climate_Activists_Blockade_Citigroup HQ_in_NYC_to_Demand_Banking_Giant_Stop_Funding_Fossil Fuels⠀⇛ Hundreds of climate activists gathered at the global headquarters of Citigroup in New York on Wednesday to demand the banking giant stop financing fossil fuel companies. The protests come on the heels of a first-of-its-kind Earth Day hearing where environmental activists from around the world gathered in New York this week to condemn what they call Citigroup’s environmental racism. Citibank is the world’s second-largest funder of coal, oil and gas. “They always say, 'We care about the planet.' … But actions speak louder than words,” says Alice Hu, climate campaigner for New York Communities for Change. “Citibank has poured over $332 billion into fossil fuels since the Paris Agreements were signed in 2015.” We also speak with Roishetta Ozane, a Black environmental leader from Sulphur, Louisiana, who has been leading the fight against the expansion of Citigroup-funded liquified natural gas projects in her community. She says she has seen the health impacts of such projects on her own family. “I’m fighting not only for myself and my community, but for my children. And by fighting for my children, I’m fighting for everyone’s children,” says Ozane. # ⚓ Atlantic Council ☛ Navigating_dominant_narratives_and data_accuracy:_Implications_for_energy_security⠀⇛ Energy market shocks and uncertainties highlight the importance of understanding the interplay between data-driven narratives and market expectations within the energy sector. These narrative wield significant influence over market dynamics, impacting commodity pricing and investment trends. # ⚓ Hackaday ☛ Amazon_Ends_California_Drone_Deliveries While_Expanding_To_Arizona⠀⇛ When Amazon started its Prime Air drone delivery service in 2022, it had picked College Station (Texas) and Lockeford (California) as its the first areas where the service would be offered. Two years later, Amazon has now announced that it will be expanding to the West Valley of the Phoenix Metro area in Arizona from a new Tolleson center, while casually mentioning buried in the press release that the Lockeford area will no longer be serviced. No reason for this closure was provided, but as a quite experimental service drastic shifts can be expected as Amazon figures out what does and does not work. # ⚓ Tesla_Lays_Off_3300_California_Employees_Bay_Area_Hit Hard⠀⇛ Tesla’s massive layoff is about to shake California’s employment structure. As per the warning filing made with California’s employment department, around 3,300 employees are set to be laid off in June. At the beginning of April, Elon Mask announced a 10% reduction in Tesla’s workforce. # § Wildlife/Nature⠀➾ # ⚓ The Revelator ☛ Rock_and_Roll_Botany:_An_Endangered Plant_Named_After_Legendary_Guitarist_Jimi_Hendrix⠀⇛ # ⚓ The Conversation ☛ Our_laser_technique_can_tell_apart elephant_and_mammoth_ivory_–_here’s_how_it_may_disrupt the_ivory_trade⠀⇛ This is a process that is both time-consuming and requires destroying the ivory. Now our new study, published in PLOS ONE, presents a major breakthrough – using a well known laser technique to tell mammoth and elephant ivory apart. # ⚓ US News And World Report ☛ The_First_Glow-In-The-Dark Animals_May_Have_Been_Ancient_Corals_Deep_in_the Ocean⠀⇛ In a new study, scientists report that deep- sea corals that lived 540 million years ago may have been the first animals to glow, far earlier than previously thought. # ⚓ WWF ☛ WWF_WILDLIVE_–_Baltic_ringed_seal⠀⇛ WWF brings you a live cam starring the close relatives of the Saimaa ringed seal. These ringed seals live in the Finnish archipelago in the Baltic Sea, and they are even fewer in numbers than their endangered cousins in lake Saimaa. o § Finance⠀➾ # ⚓ WhichUK ☛ Revolut_fraud_complaints_to_Ombudsman_outstrip all_banks⠀⇛ Huge numbers of customers are going to the Financial Ombudsman Service # ⚓ Over_1,000_UPMC_Employees_Have_Been_Laid_Off_Due_To Layoffs⠀⇛ UPMC, a Pittsburgh-based health care giant, announced Wednesday afternoon layoffs of at least 1,000 employees due to post-pandemic challenges. Paul Wood, vice president and chief communications officer at UPMC, said the reductions would affect just over 1% of the organization’s more than 100,000 employees. # ⚓ WhichUK ☛ Online_banking_security_put_to_the_test_–_how safe_is_your_bank's_website?⠀⇛ Which? investigation tests the resilience of the biggest current account providers' apps and websites # ⚓ New York Times ☛ In_Silicon_Valley,_You_Can_Be_Worth Billions_and_It’s_Not_Enough⠀⇛ Andreas Bechtolsheim, the first investor in Google, has an estimated $16 billion fortune. He recently settled charges that he engaged in insider trading for a profit of $415,726. # ⚓ ServiceNow_earnings,_Whirlpool_job_cuts:_After-Hours Movers⠀⇛ Appliance maker Whirlpool Corporation's (WHR) stock ticks up on news it will be cutting 1,000 jobs to cut costs and offset weakening demand. Whirpool is set to report earnings on Thursday, April 25. o § AstroTurf/Lobbying/Politics⠀➾ # ⚓ The American Prospect ☛ My_Dinner_With_Andreessen⠀⇛ And that’s when the man in the castle with the seven fireplaces said it. “I’m glad there’s OxyContin and video games to keep those people quiet.” I’m taking the liberty of putting it in quotation marks, though I can’t be sure those were his exact words. Marc, if you’re reading, feel free to get in touch and refresh my memory. Maybe he said “quiescent,” or “docile,” or maybe “powerless.” Something, certainly, along those lines. # ⚓ Futurism ☛ Three_Top_Tesla_Execs_Have_Resigned_Over_the Past_Few_Weeks⠀⇛ As insiders who spoke to Fortune magazine confirm, Tesla vice president of investor relations, Martin Viecha, announced that he was leaving the company at the end of this week's quarterly earnings call, which came after mass layoffs, a dip in sales, and the recall of the Cybertruck. # ⚓ The Atlantic ☛ Tesla_Is_Not_the_Next_Ford._It’s_the_Next Con_Ed.⠀⇛ Whether Musk can sustain his EV empire is now in doubt. He told investors that Tesla’s primary focus is now on AI and self-driving cars. But even if that pivot fails, the company has positioned itself to be on the edge of another, perhaps more crucial part of the green transition: delivering and storing America’s power. Tesla’s EV chargers are ascendant, if not dominant, as are its huge batteries that store renewable energy for homes and even entire neighborhoods. Profits from Tesla’s energy business were up 140 percent compared with the same period last year, and Musk asserted yesterday that the division will continue to grow “significantly faster than the car business.” The company’s future may not lie in following the footsteps of Ford, then, so much as those of Duke Energy and Con Edison. Tesla, in other words, is transforming into a utility. # ⚓ Scoop News Group ☛ GSA_taps_TTS_deputy_director_to_take_top Login.gov_role_next_month⠀⇛ Kim has served as the website’s first deputy director since January following a five-year stint at Amazon, where she developed “cutting-edge AI- based technology to scale policy enforcement,” per a GSA email. Kim previously worked across the federal government, serving with the departments of State, Treasury and Defense. # ⚓ APNIC ☛ Internet_sanctions_as_a_response_—_diverging actions_and_mixed_effects⠀⇛ In a collaborative effort between researchers from the University of Illinois Chicago, SIDN Labs, Open Observatory of Network Interference (OONI), the University of Twente, and the University of Amsterdam, we carried out a longitudinal traffic analysis to understand how ISPs in different EU member states implement these sanctions. We found that the degree of blocking varies widely, both between and within individual EU member states. This raises questions about the effectiveness of the EU sanctions. This blog post is a summary of the paper we published last month. # ⚓ The Hill ☛ Former_DHS_disinformation_office_chief_joins nonprofit,_calls_out_GOP_lawmakers⠀⇛ Jankowicz joined the American Sunlight Project and sent a letter to congressional leaders who have “done little to improve the health of our information environment” in the years since Russia interfered with the 2016 U.S. presidential election. # ⚓ Ed Zitron ☛ The_Man_Who_Killed_Google_Search⠀⇛ This is the story of how Google Search died, and the people responsible for killing it. The story begins on February 5th 2019, when Ben Gomes, Google’s head of search, had a problem. Jerry Dischler, then the VP and General Manager of Ads at Google, and Shiv Venkataraman, then the VP of Engineering, Search and Ads on Google properties, had called a “code yellow” for search revenue due to, and I quote, “steady weakness in the daily numbers” and a likeliness that it would end the quarter significantly behind. # ⚓ Manuel Moreale ☛ Re:_Growth_is_a_mind_cancer⠀⇛ Yesterday I stumbled on an interesting article by Ed Zitron titled "The Man Who Killed Google Search" that is closely related to my recent post about the growth mentality. # ⚓ Marty Day ☛ blast-o-rama.⠀⇛ A blistering read from Ed Zitron breaking down the managerial changes and overall focus on profits before people which has – perhaps irreparably – ruined Google search. [...] I feel like the term “enshittification” has become an overused shorthand for “thing I don’t like”, but this is the term at its purist. A focus on Fuck Yours, Got Mine on a massive level, which trickles down across the web as a whole. # ⚓ American Oversight ☛ American_Oversight_Settles_Lawsuit Over_Records_from_Secret_Wisconsin_Impeachment_Panel⠀⇛ # ⚓ The Straits Times ☛ Solomon_Islands'_Sogavare_says_he_runs security_amid_tense_wait_for_new_government⠀⇛ Solomon Islands Prime Minister Manesseh Sogavare said he narrowly won his seat and still exercises power over security in the Pacific Islands nation, as he vies with opposition parties to form government after an election delivered no clear winner. # ⚓ The Straits Times ☛ South_Korean_military_set_to_ban iPhones_over_‘security’_concerns⠀⇛ The decision to ban iPhones in the military came from joint meetings held by the headquarters of the Army, Navy and Air Force. # ⚓ RFERL ☛ British_Foreign_Secretary_Holds_Talks_With_Uzbek Counterpart_In_Tashkent⠀⇛ British Foreign Secretary David Cameron held talks with his Uzbek counterpart Baxtiyor Saidov in Tashkent on April 23, focusing on regional security, education, climate change, bilateral trade, and the development of business relations. # ⚓ Marcy Wheeler ☛ Trump’s_White_House_Didn’t_Archive_Ex- Twitter_DMs⠀⇛ Documents from Trump's motion to compel in Florida remind of newly significant details of his White House's failure to preserve tweets covered by the Presidential Records Act. # ⚓ JURIST ☛ Brazil_supreme_court_justice_sets_deadline_for social_control_media_platform_X_to_explain_alleged_non- compliance_with_previous_rulings⠀⇛ Alexandre de Moraes, a justice of the Brazilian Supreme Court (STF), issued a five-day deadline for the social control media platform X (formerly Twitter) to explain its purported failure to fully comply with earlier court orders on Monday. # ⚓ Marcy Wheeler ☛ David_Weiss_Treats_IRS_Agents_Who_Accused Him_of_Misconduct_as_“Whistleblowers”⠀⇛ In a bid to dismiss Hunter Biden's Ninth Circuit appeal of Judge Scarsi's denial of his motions to dismiss, David Weiss called the IRS agent media campaign "whistleblower disclosures." # § Misinformation/Disinformation/Propaganda⠀➾ # ⚓ Meduza ☛ ‘A_distortion_of_history’:_Russian_political actors_and_historians_on_Team_Navalny’s_new_film_about Yeltsin’s_role_in_Putin’s_rise_to_power_—_Meduza⠀⇛ # ⚓ The Hill ☛ NPR_chief_knocks_‘bad_faith_distortion’_of social_media_posts⠀⇛ Conservatives used Uri Berliner’s essay to highlight, in some cases, years old social media posts from Maher showing her praising Democrats and promoting progressive ideas. # ⚓ VOA News ☛ Kremlin_deploys_propaganda_outlets_to whitewash_Wagner’s_footprints_in_the_Sahel⠀⇛ To expand its influence in the African region, Russia has launched a complex of diplomatic, economic, and military initiatives, from hosting annual African forums under President Vladimir Putin’s patronage to funding a massive propaganda campaign to whitewash Russia’s image from the stain of violence and corruption left by Wagner troops. # ⚓ Breach Media ☛ Pierre_Poilievre_is_parroting_‘crooked Big_Pharma’_talking_points⠀⇛ Conservative leader Pierre Poilievre appears to have a new speech writer: the pharmaceutical lobby. As the corporate lobby mounts an attack on the NDP and Liberal government’s new pharmacare program, Poilievre has been cribbing from their deceitful talking points. # ⚓ New York Times ☛ Nina_Jankowicz_Forms_New_Group_to Defend_Disinformation_Research⠀⇛ Now she has re-entered the fray with a new nonprofit organization intended to fight what she and others have described as a coordinated campaign by conservatives and others to undermine researchers, like her, who study the sources of disinformation. Already a lightning rod for critics of her work on the subject, Ms. Jankowicz inaugurated the organization with a letter accusing three Republican committee chairmen in the House of Representatives of abusing their subpoena powers to silence think tanks and universities that expose the sources of disinformation. # ⚓ The Record ☛ France_seeks_new_EU_sanctions_to_target Russian_disinformation⠀⇛ The draft of the proposal, as seen by journalists at Bloomberg, would allow the European Union to impose tougher restrictions on individuals and entities involved in Russia-backed influence operations worldwide. “Destabilizing activities executed by Russia- related actors have increased everywhere in Europe as well – as the Russian regime has taken actions to undermine democracy, stability and the rule of law through a variety of hybrid instruments,” the draft of the proposal said. o § Censorship/Free Speech⠀➾ # ⚓ RFA ☛ Hong_Kong_schools_ban_books,_warn_teachers_not_to_get 'political'⠀⇛ The ruling Chinese Communist Party is moving to step up its "patriotic education" program in schools, universities and religious institutions across the country, including in Hong Kong, where the program is generally termed "national security education." Since the start of the current academic year, teachers in more than 1,000 Hong Kong schools have been required to report "potential violations" of the city's security laws to the authorities. # ⚓ RFERL ☛ Sister_Of_Iranian_Teen_Killed_In_Anti-Government Protests_Released_From_Prison⠀⇛ The sister of a 16-year-old killed in 2022 in anti- government protests has been freed from an Iranian jail. [...] # ⚓ RFA ☛ Activists_interrupt_Chinese_ambassador's_Harvard speech⠀⇛ ‘It's shocking how many professors kowtow to the Chinese Communist Party and sing its praises,’ said one protester. # ⚓ CS Monitor ☛ As_graduation_approaches,_colleges_struggle_to balance_free_speech_and_safety⠀⇛ Protests over the Israel-Hamas war are shadowing U.S. colleges’ and universities’ preparations for graduation ceremonies. The institutions face the responsibility to keep students safe while still honoring their free speech rights. # ⚓ New York Times ☛ Student_Editorial_Boards_Rebuke_College Officials_for_Protest_Decisions⠀⇛ Around the nation, editorial boards at college newspapers have defended free speech and pro- Palestinian protesters in recent weeks. # ⚓ New York Times ☛ Myanmar’s_Young_Rebels_Find_the_Bright Sides_to_an_Internet_Blackout⠀⇛ Even through the Myanmar army’s communications blackout, residents of a conflict zone find moments of grace, and occasional connectivity, away from the battlefield. o § Freedom of Information / Freedom of the Press⠀➾ # ⚓ FAIR ☛ Right-Wing_Critiques_Miscast_NPR,_NYT_as_Lefty Bastions⠀⇛ “I’ve Been at NPR for 25 Years. Here’s How We Lost America’s Trust,” reads the headline of a recent essay in the Free Press (4/9/24), a Substack-hosted outlet published by former New York Times opinion editor Bari Weiss. The author, senior NPR business editor Uri Berliner, argued that the broadcaster’s “progressive worldview” was compromising its journalism and alienating conservatives, including Berliner himself—who subsequently resigned. # ⚓ New York Times ☛ Inside_the_Crisis_at_NPR⠀⇛ “We are slipping in our ability to impact America, not just in broadcast, but also in the growing world of on-demand audio,” Daphne Kwon, NPR’s chief financial officer, told the group, according to a recording of the meeting obtained by The New York Times. # ⚓ New York Times ☛ Australian_Journalist_Says_She_Had_No Choice_But_to_Leave_India⠀⇛ Avani Dias, the South Asia correspondent for the Australian Broadcasting Corporation, said on social media that Indian officials told her last month that her application for a resident journalist visa extension would not be approved because a television segment she had produced on accusations that India was responsible for the killing of a Sikh activist in Canada had “crossed the line.” # ⚓ CPJ ☛ Australian_journalist_Avani_Dias_leaves_India_over visa_delay,_censorship⠀⇛ After receiving a demand from India’s Ministry of Information and Broadcasting, YouTube blocked access in India to Dias’ report, as well as an ABC news segment about Australian national security agents meeting with Sikh activists in Australia regarding Nijjar’s death, ABC said. “The case of ABC journalist Avani Dias is not an isolated incident. Foreign correspondents in India have faced increasing pressure and harassment from authorities, particularly when reporting on topics deemed unfavorable to the administration. Such actions not only infringe upon the rights of journalists but also deprive the public of access to important information and diverse perspectives,” said Kunāl Majumder, CPJ’s India representative. # ⚓ USMC ☛ The_man_who_made_Belleau_Wood_—_and_the_Marine_Corps —_immortal⠀⇛ The news censor, however, incorrectly believing Gibbons to be dead, “concluded that it would be a crime to cut the last dispatch of Gibbons’s life, so he decided to let it go through as written,” according to an account in the Washington Post. When he sent his final dispatch, Gibbons had expected the word “Marines” to be omitted. Up until that point no correspondent was permitted to name which troops were on which fronts due to wartime censorship. “Because the censor let Gibbons’s dispatch go through, all correspondents were given the same privilege,” the Post continued. o § Civil Rights/Policing⠀➾ # ⚓ Scoop News Group ☛ DOJ_seeks_public_input_on_AI_use_in criminal_justice_system⠀⇛ In a document posted for public inspection on the Federal Register Wednesday, the research, development and evaluation arm of the department said it’s seeking feedback to “inform a report that addresses the use of artificial intelligence (AI) in the criminal justice system.” Those comments are due 30 days after the document is published. # ⚓ USA ☛ [OJP_(NIJ)_Docket_No._1824]_Request_for_Input_from the_Public_on_Section_7.1(b)_of_Executive_Order_14110,_“Safe, Secure,_and_Trustworthy_Development_and_Use_of_Artificial Intelligence” [PDF]⠀⇛ SUMMARY: The National Institute of Justice (NIJ) seeks written input from the public relevant to section 7.1(b) of Executive Order 14110, “Safe, Secure, and Trustworthy Development and Use of Artificial Intelligence.” NIJ is seeking information that could inform a report that addresses the use of artificial intelligence (AI) in the criminal justice system. # ⚓ USA ☛ Statement_by_President_Joe_Biden_on_Armenian Remembrance_Day⠀⇛ The campaign of cruelty began on April 24, 1915, when Ottoman authorities arrested Armenian intellectuals and community leaders in Constantinople. In the days, months, and years that followed, one and a half million Armenians were deported, massacred, or marched to their deaths—leaving families forever broken, and generations forever changed. # ⚓ US Senate ☛ Chair_Cardin_Statement_on_Armenian_Genocide Remembrance_Day⠀⇛ “Every April, we remember the one and a half million Armenian lives taken by the Ottoman Empire’s targeted campaign of extermination against Armenians, which began in Constantinople on April 24, 1915. I commend President Biden for becoming the first U.S. President to recognize this as a genocide, and strongly encourage him and my fellow lawmakers to continue rejecting the ongoing persecution of Armenians. [...]“ # ⚓ Canada ☛ Statement_by_the_Prime_Minister_on_Armenian Genocide_Memorial_Day⠀⇛ “In Canada, April marks Genocide, Remembrance, Condemnation and Prevention Month, which reminds us of the consequences of indifference. We must remember and honour the memories of the victims lost to the Armenian Genocide. We must stand up against hate and stand for diversity, inclusion, and human rights – it is our shared, collective responsibility. # ⚓ Armenian Weekly ☛ April_24,_2024,_a_day_of_remembrance_and resolve⠀⇛ During World War I (1914-1918), the Ottoman Empire, ruled by the Young Turks (Ittihad Ve Teraki), suffered great territorial losses. Defeated on every front, Turkey was forced to surrender to the victors. On the Armenian front, Catholicos of All Armenians Kevork V (1911-1929) appointed an Armenian National Delegation under the leadership of Boghos Noubar Pasha to appear before the European governments and see that Armenian reforms in Turkey were enacted. The Turks were infuriated that the Armenian Question was being brought up again. World War I provided the best pretext for Turkey to “solve” the Armenian Question, eradicating international opposition or any interference in its internal affairs. As it was, the Turks had been considering ridding themselves of the Armenian Question for many years and had secretly prepared a special plan to eliminate the Armenian people. In April 1915, they reviewed that plan once more, during which they listed the reasons why the Armenians had to be eliminated. Among others, they listed the following: [...] # ⚓ RTL ☛ Historic_step:_Starbucks_set_for_talks_with_unionized US_stores⠀⇛ The goal is to establish a "foundational framework" on key issues such as wages, scheduling policy and access to health care, the union said. The talks "mark a major step forward towards establishing strong contracts for more than 10,000 and growing Starbucks Workers United partners who have won their union, and with it, a seat at the table to build a stronger Starbucks," the union said. # ⚓ NPR ☛ U.S._bans_noncompete_agreements_for_nearly_all_jobs⠀⇛ The ban, which will take effect later this year, carves out an exception for existing noncompetes that companies have given their senior executives, on the grounds that these agreements are more likely to have been negotiated. The FTC says employers should not enforce other existing noncompete agreements. # ⚓ Axios ☛ The_FTC_votes_to_ban_employment_noncompetes⠀⇛ The Federal Trade Commission voted 3-2 on Tuesday to ban noncompete agreements, which prevent workers from taking positions with competitors for a period of time after they leave a job. # ⚓ Techdirt ☛ Top_Lawyer_In_Texas_Doesn’t_Understand_Court Rulings,_Celebrates_Obvious_SCOTUS_Loss_As_A_Win⠀⇛ Texas Attorney General Ken Paxton is an utter asshat. Not only is he the chosen defender of litigation over unconstitutional laws passed by an equally idiotic legislature, but he’s also the man behind plenty of Texas government action meant to make things worse for plenty of Texas residents. # ⚓ The Straits Times ☛ Musk_targets_Australian_senator,_gun laws_in_deepening_dispute_over_X_stabbing_content⠀⇛ SYDNEY - Elon Musk said an Australian senator should be jailed and suggested the country's gun laws were meant to stop resistance against its "fascist government", escalating his battle over a court order to remove video posts of a bishop being stabbed. # ⚓ FTC_puts_stop_to_non-compete_clauses_|_PC_Games_Insider⠀⇛ The United States' Federal Trade Commission is banning non-compete clauses. In its ruling, the organisation pointed out that these do nothing by stymy people's creativity. The FTC also argued that trade secret laws and non- disclosure agreements did enough to protect companies worried about knowledge leaving the building with workers after they left. The organisation's research shows that more than 95 per cent of workers under non-compete clauses were also subject to NDAs. o § Internet Policy/Net Neutrality⠀➾ # ⚓ Internet Society ☛ The_Importance_of_Strong_Technical Communities_and_Partnerships_in_Africa⠀⇛ The recent outage in West Africa caused by submarine cable damage could have been a lot worse. A strong community ensured it wasn't. # ⚓ Scoop News Group ☛ FCC_wants_rules_for_‘most_important_part of_the_internet_you’ve_probably_never_heard_of’⠀⇛ “The Commission could consider requiring service providers to deploy solutions to address BGP vulnerabilities, such as BGP hijacks,” the FCC wrote in the proposed April rule. “The agency could also consider establishing cybersecurity requirements for BGP, including ‘security features to ensure trust in the information that it is used to exchange,’ which could prevent bad actors from ‘deliberately falsify[ing] BGP reachability information to redirect traffic to itself or through a specific third-party network, and prevent that traffic from reaching its intended recipient.’” # ⚓ APNIC ☛ IPv6_prefix_lengths⠀⇛ This leads to the question: What lengths are commonly used by network operators to assign site prefixes to each customer? Unless you are located within the network and can observe the length of the IPv6 address prefix that your provider has assigned to you, this is not an easy question to answer. But suppose we can assemble a collection of IPv6 addresses used in the public Internet. In that case, we can examine the address to make a reasonable estimate of the site prefix length being used. # ⚓ The Verge ☛ The_FCC_is_set_to_bring_back_net_neutrality⠀⇛ The commission is expected to reclassify [Internet] service providers (ISPs) — e.g., broadband companies like AT&T and Comcast — as common carriers under Title II of the Communications Act. That classification would open ISPs up to greater oversight by the FCC. The vote is widely expected to go in favor of reinstating net neutrality since FCC Chair Jessica Rosenworcel, a Democrat, controls the agency’s agenda. Rosenworcel moved forward with the measure after a fifth commissioner was sworn in, restoring a Democratic majority on the panel. (Disclosure: Comcast is an investor in Vox Media, The Verge’s parent company.) Net neutrality proponents say that oversight can help ensure fair access to an open [Internet] by upholding principles like no blocking or throttling of [Internet] traffic. Opponents, including industry players, fear it could halt innovation and subject ISPs to onerous price regulations. # ⚓ SANS ☛ It_appears_that_the_number_of_industrial_devices accessible_from_the_[Internet]_has_risen_by_30_thousand_over the_past_three_years⠀⇛ It has been nearly three years since we last looked at the number of industrial devices (or, rather, devices that communicate with common OT protocols, such as Modbus/TCP, BACnet, etc.) that are accessible from the [Internet] [1]. Back in May of 2021, I wrote a slightly optimistic diary mentioning that there were probably somewhere between 74.2 thousand (according to Censys) and 80.8 thousand (according to Shodan) such systems, and that based on long-term data from Shodan, it appeared as though there was a downward trend in the number of these systems. o § Digital Restrictions (DRM)⠀➾ # ⚓ Los Angeles Times ☛ Why_Netflix_wants_us_to_stop_obsessing over_subscriber_numbers⠀⇛ You could look at this as a real spiking-the- football moment for Netflix. According to Wedbush Securities analysts Alicia Reese and Michael Pachter, this signals the arrival of Netflix’s long-awaited pivot “from a high-growth, low-profit business to a slow-growth, high-profit business,” even if that transformation is not yet complete. § Monopolies/Monopsonies⠀➾ o ⚓ CoryDoctorow ☛ Pluralistic:_The_specific_process_by_which_Google enshittified_its_search⠀⇛ I think it's something else. I think the main job of a CEO is to show up for work every morning and yank on the enshittification lever as hard as you can, in hopes that you can eke out some incremental gains in your company's cost-basis and/or income by shifting value away from your suppliers and customers to yourself. We get good digital services when the enshittification lever doesn't budge – when it is constrained: by competition, by regulation, by interoperable mods and hacks that undo enshittification (like alternative clients and ad-blockers) and by workers who have bargaining power thanks to a tight labor market or a powerful union: [...] o ⚓ Kevin Wammer ☛ Why_I_am_stuck_with_IOS⠀⇛ I‘ve been in the Apple ecosystem for over half my life. But lately, I find myself increasingly frustrated by Apple's behavior. There are many reasons, but it boils down to their arrogance. While I don‘t agree with everything the EU decided, Apple's public reactions irritate me. o ⚓ Digital Music News ☛ Drake_Used_AI_for_Tupac's_Voice—Tupac's Family_Responds⠀⇛ It’s worth noting that a release like this would be illegal under Tennessee’s ELVIS Act, which bans the use of AI-generated voices without express permission. A separate provision of that act, if it becomes a model for a national law, would hold AI platforms liable and open to lawsuit against any person who “makes available an algorithm, software, tool, or technology, service, or device” that creates unauthorized recording’s of a person’s voice. o ⚓ TMZ ☛ Tupac_Shakur’s_Estate_Threatens_to_Sue_Drake_Over_AI_Vocals in_Diss_Track⠀⇛ TMZ has obtained the cease-and-desist letter fired off by the attorney for Tupac's estate, Howard King, and it calls out Drake for the AI verse on "Taylor Made Freestyle" ... saying, "Not only is the record a flagrant violation of Tupac's publicity and the estate's legal rights, it is also a blatant abuse of the legacy of one of the greatest hip-hop artists of all time." o ⚓ The Verge ☛ Tupac’s_estate_may_sue_Drake_over_‘Taylor_Made’_AI- generated_diss_track⠀⇛ While Drake’s fans have been having a ball with the Canadian rapper’s recently released track dissing fellow rapper Kendrick Lamar, the legal team representing Tupac Shakur is threatening to take legal action if the song isn’t pulled off the [Internet]. o ⚓ Penske Media Corporation ☛ Tupac's_Estate_Threatens_To_Sue_Drake Over_AI-Generated_Fake_Vocals⠀⇛ Tupac Shakur’s estate is threatening to sue Drake over a recent diss track against Kendrick Lamar that featured an AI-generated version of the late rapper’s voice, calling it a “a flagrant violation” of the law and a “blatant abuse” of his legacy. In a Wednesday cease-and-desist letter obtained exclusively by Billboard, litigator Howard King told Drake (Aubrey Drake Graham) that he must confirm that he will pull down his “Taylor Made Freestyle” in less than 24 hours or the estate would “pursue all of its legal remedies” against him. o ⚓ Quartz ☛ Microsoft_and_Amazon's_AI_deals_are_getting_antitrust scrutiny_in_the_U.K.⠀⇛ The UK’s Competition and Markets Authority (CMA) said Wednesday it is inviting third parties to comment on whether the partnership between Microsoft and Mistral AI, as well as Amazon’s partnership with Anthropic, fall under the UK’s merger regulations and can threaten competition. The CMA is also asking for comment on Microsoft’s hiring of former Inflection AI employees, including its co-founder, amid its $650 million deal with the startup to license its AI software. o § Patents⠀➾ # ⚓ Dennis Crouch/Patently-O ☛ What_is_Next_for_Enablement_and Written_Description_of_Antibody_Claims?⠀⇛ I had been following the case of Teva v. Lilly for a few years.  Teva has traditionally been a generic manufacturer, but in this case sued Eli Lilly for infringing its patents covering methods of treating headache disorders like migraine using humanized antibodies that bind to and antagonize calcitonin gene-related peptide (CGRP), a protein associated with migraine pain. U.S. Patent Nos. 8,586,045, 9,884,907 and 9,884,908.  # § Kangaroo Courts⠀➾ # ⚓ Kluwer Patent Blog ☛ T_1006/21:_you_say_admissible,_I say_inadmissible_–_let’s_call_the_whole_thing_off?⠀⇛ It is well known that the EPO Boards of Appeal take a strict line on admissibility of new elements of the appeal case under Articles 12 and 13 RPBA. But if the request to hold new elements inadmissible is itself filed late, the admissibility of the inadmissibility request may be questioned, see e.g. T 500/16... o § Trademarks⠀➾ # ⚓ TTAB Blog ☛ J._Michael_Keyes:_"Will_Bad_Spaniels'_New 'Disclaimer'_Keep_VIP_Products_Out_Of_The_Doghouse?"⠀⇛ Here is the latest literary effort from Mike_Keyes, a consumer survey expert and IP litigator at Dorsey & Whitney LLP (you may subscribe to his newsletter here). "Will Bad Spaniels' New 'Disclaimer' Keep VIP Products Out Of The Doghouse? - A Consumer Survey Provides a Cautionary Tale for Would-Be Parodists," appears in Vol. 64, No. 2 (March 2024) of IDEA The Law Review of the Franklin Pierce Center for IP at the University of New Hampshire School of Law. o § Copyrights⠀➾ # ⚓ Techdirt ☛ Universal_Music’s_Copyright_Claim:_99_Problems And_Fair_Use_Ain’t_One⠀⇛ Fair use is supposed to be the valve by which the copyright system doesn’t violate the First Amendment. But when we see copyright wielded as a censorial weapon like this, with no real recourse for the artist, it should raise serious questions about why we allow copyright to act this way in the first place. # ⚓ Creative Commons ☛ CC_at_WIPO:_Slow_progress_on_copyright exceptions_for_cultural_heritage_institutions⠀⇛ Last week, Creative Commons (CC) participated in the 45th session of the World Intellectual Property Organization (WIPO) Standing Committee on Copyright and Related Rights (SCCR). In this post, we briefly report on the session discussions on exceptions and limitations for cultural heritage institutions (CHIs), a topic of utmost relevance to our Open Culture Program. # ⚓ Torrent Freak ☛ Vietnam_Admits_Manga_Piracy_Problem_as_New BestBuyIPTV_Details_Emerge⠀⇛ In a joint press release on Monday, the Premier League and Alliance for Creativity and Entertainment revealed the first-ever online piracy conviction in Vietnam. The news came as a surprise, as did comment published in local media attributed to a government official. It may seem like a small step, but admitting that Vietnam has a manga piracy problem, one that causes "hundreds of millions of dollars in damage to copyright owners," is a big step forward. # ⚓ Torrent Freak ☛ 'Expensive'_Streaming_Services_Are_a_Key Reason_for_Americans_to_'Pirate'⠀⇛ A new survey confirms that the high cost of online streaming services keeps piracy relevant. The findings suggest that one in three Americans have pirated a movie or TV series over the past year. Costs are a key motivator for these self-proclaimed pirates, with the number of legal subscription services and their price tags a key trigger. # ⚓ Bryan Lunduke ☛ The_Internet_Archive's_last-ditch_effort_to save_itself⠀⇛ A lost lawsuit, a flimsy appeal, and misleading public statements... things aren't looking good for the Internet's archivist. On April 19th, The Internet Archive filed the final brief in their appeal of the "Hachette v. Internet Archive" lawsuit (for which, judgment was handed down, against Internet Archive, last year). What is curious, is that this final brief fails - - almost completely -- to reasonably address the core issues of the lawsuit. What's more, the public statements that followed, by The Internet Archive, appeared to be crafted to drum up public sympathy by misrepresenting the core of the case itself. Which suggests that The Internet Archive is very much aware that they are likely to lose this appeal. After a careful reading of the existing public documents relating to this case... it truly is difficult to come to any other conclusion. ╘══════════════════════════════════════════════════════════════════════════════╛ ¶ Lines in total: 8048 ➮ Generation completed at 02:49, i.e. 30 seconds to (re)generate ⟲