𝕿𝖊𝖈𝖍𝖗𝖎𝖌𝖍𝖙𝖘 Bulletin for Thursday, February 10, 2022 ┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅ Generated Fri 11 Feb 02:41:35 GMT 2022 Created by Dr. Roy Schestowitz (𝚛𝚘𝚢 (at) 𝚜𝚌𝚑𝚎𝚜𝚝𝚘𝚠𝚒𝚝𝚣 (dot) 𝚌𝚘𝚖) Full hyperlinks for navigation omitted but are fully available in the originals The corresponding HTML versions are at 𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈 Latest in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒕𝒙𝒕 and older bulletins can be found at 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒕𝒙𝒕-𝒂𝒓𝒄𝒉𝒊𝒗𝒆𝒔 Full IPFS index in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒊𝒑𝒇𝒔 and as plain text in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒊𝒑𝒇𝒔/𝒕𝒙𝒕 Gemini index for the day: gemini://gemini.techrights.org/2022/02/10/ ╒═══════════════════ 𝐑𝐄𝐂𝐄𝐍𝐓 𝐁𝐔𝐋𝐋𝐄𝐓𝐈𝐍𝐒 ════════════════════════════════════╕ Previous bulletins in IPFS (past 21 days, in chronological order): QmZeHUaFKnCwMohgf9hT7KAvQEFvHbBZ8MUZTtceSkoLZc QmQLbqvdSXzQ59gWzwwt9RARegF8vZB68qihXTbNcDNoxy QmXRhRDa28yw47e5ym8hgWTNSCTtmH5t22GCpvFvaGYDwN QmNrH8cLM4mYaiBXzhdkhAQm8XM54JzRQa3Z1Ng4a41kcV QmZjLA2jtgeEhSJihNxjJW3q7KaEU6iyCKve9pmkci3m61 QmTWgjCkngZ2r4jN8fZGmd7bpEdJL3pBfU6vKWFNxPmkYf QmUa6NW563bcVpbJi9K42Aap4iTTXYmJcu5bTsjAcRc9yG QmPENr81muU2jHsHXxDP2oXCR4itHu2Pb54BpV4z2a6v8g QmT1WmWT8oyJF7h6FDnkDWXE6tEV7sUdo6MyboEn1kLiFx Qmd7o1W8PgtXmeAFmAGFoVreMpLA1AVtvVjUMvVr7zc1YQ Qma88nEdV64rLJsqR8uVd62B8zwrDvuX6Etg42wsovLPUQ QmWMn5rx4mwf86jmAsH6KUasKtr2WVybRVa9b2sJECtwpz QmS1wrYoYvTPNPTvZYppVeYPXTR8rHjtMkwCEYGCEaEWUU QmTLUpA1Pbmatf5PSQgBbMk1Hj8eJFQAcNy7ahAe769Anx QmbQWJTJVwCBMn6Bc7J9W2fhZtZYwQh4SrKoy4dF1Rj3Pm QmZ3Z9HPLFuFUYdDqN8YY1cZW5M8k9MCEyfwYQiJSBdgg9 Qme1XwuhK1F1t6m8AJGPXQ8U9wCeB9UCDmmkPBEmWLharx QmQdk83ourWknf8WYXr4Z6LnuaLWYmqhpidR9Crga89wZn Qmae8sev1AAiuQdXEbMcdP8Nmxxz3DL81fAkGoiVLghjbB QmYBkNNgDtvjiZGy3f7RwY487FEsQEUQkXJN3yYkKnMGUa QmdmWehA6h2EsxLvmLQHxv9wFn9VZJZHVbgXQXVigmyUCo ╒═══════════════════ 𝐈𝐍𝐃𝐄𝐗 ═══════════════════════════════════════════════════╕ ⦿ The EPO’s Overseer/Overseen Collusion — Part XLVII: Institutionalised Injustice at the EPO? | Techrights ⦿ EPO Unjustified | Techrights ⦿ IRC Proceedings: Wednesday, February 09, 2022 | Techrights ⦿ [Meme] EPO Courts | Techrights ⦿ [Meme] EUIPO-Styled Labelling for EPO | Techrights ⦿ Social Control Media is a Bubble and JoinDiaspora Might be the Next Casualty | Techrights ䷼ Bulletin articles (as HTML) to comment on (requires login): http://techrights.org/2022/02/10/epo-institutionalised-injustice/#comments http://techrights.org/2022/02/10/epo-unjustified/#comments http://techrights.org/2022/02/10/irc-log-090222/#comments http://techrights.org/2022/02/10/meme-epo-courts/#comments http://techrights.org/2022/02/10/new-epo-social-democracy-meme/#comments http://techrights.org/2022/02/10/social-control-media-bubbles/#comments ䷞ Followed by Daily Links (assorted news picks curated and categorised): http://techrights.org/2022/02/10/fosdem-2022-stories/#comments http://techrights.org/2022/02/10/sparky-6-2/#comments ䷩ 𝚕𝚒𝚗𝚎 63 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at http://techrights.org/2022/02/10/epo-institutionalised-injustice/#comments Gemini version at gemini://gemini.techrights.org/2022/02/10/epo-institutionalised-injustice/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 02.10.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ The_EPO’s_Overseer/Overseen_Collusion_—_Part_XLVII:_Institutionalised Injustice_at_the_EPO?⠀✐ Posted in Europe, Patents at 7:20 am by Dr. Roy Schestowitz Series parts: 1. The_EPO’s_Overseer/Overseen_Collusion_—_Part_I:_Let_the_Sunshine_In! 2. The_EPO’s_Overseer/Overseen_Collusion_—_Part_II:_A_“Unanimous” Endorsement? 3. The_EPO’s_Overseer/Overseen_Collusion_—_Part_III:_Three_Missing_Votes 4. The_EPO’s_Overseer/Overseen_Collusion_—_Part_IV:_The_Founding_States 5. The_EPO’s_Overseer/Overseen_Collusion_—_Part_V:_Germany_Says_“Ja” 6. The_EPO’s_Overseer/Overseen_Collusion_—_Part_VI:_A_Distinct_Lack_of_Dutch Courage 7. The_EPO’s_Overseer/Overseen_Collusion_—_Part_VII:_Luxembourgish_Laxity 8. The_EPO’s_Overseer/Overseen_Collusion_—_Part_VIII:_Perfidious_Albion_and Pusillanimous_Hibernia 9. The_EPO’s_Overseer/Overseen_Collusion_—_Part_IX:_More_Holes_Than_Swiss Cheese 10. The_EPO’s_Overseer/Overseen_Collusion_—_Part_X:_Introducing_the Controversial_Christian_Bock 11. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XI:_“General_Bock”_– Battistelli’s_Swiss_Apprentice? 12. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XII:_The_French_Connection 13. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XIII:_Battistelli’s_Iberian Facilitators_–_Spain 14. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XIV:_Battistelli’s_Iberian Facilitators_–_Portugal 15. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XV:_Et_Tu_Felix_Austria… 16. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XVI:_The_Demise_of_the Austrian_Double-Dipper 17. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XVII:_The_Non-Monolithic Nordic_Bloc 18. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XVIII:_Helsinki’s_Accord 19. The_EPO’s_Overseer/Overseen_Collusion_—_Part_IXX:_The_Baltic_States 20. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XX:_The_Visegrád_Group 21. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XXI:_The_Balkan_League_–_The Doyen_and_His_“Protégée” 22. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XXII:_The_Balkan_League_– North_Macedonia_and_Albania 23. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XXIII:_The_Balkan_League_– Bulgaria 24. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XXIV:_The_Balkan_League_– Romania 25. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XXV:_The_Balkan_League_– Fresh_Blood_or_Same_Old,_Same_Old? 26. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XXVI:_A_Trojan_Horse_on_the Budget_and_Finance_Committee 27. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XXVII:_Cypriot_Complicity 28. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XXVIII:_Benoît_and_António’s Loyal_“Habibi” 29. The_EPO’s_Overseer/Overseen_Collusion_—_Part_IXXX:_The_EPOnian_Micro- States_–_Monaco_and_Malta 30. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XXX:_San_Marino_and_the Perfidious_Betrayal_of_Liberty 31. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XXXI:_The_Abstentionists 32. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XXXII:_“Plucky_Little Belgium”? 33. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XXXIII:_Swedish_Scepticism 34. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XXXIV:_An_“Extremely Dubious”_Proposal 35. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XXXV:_Slovakian_Scruples 36. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XXXVI:_Serbian_Sour_Grapes 37. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XXXVII:_Stubbornly Independent_Slovenia 38. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XXXVIII:_Ensnared_in_the Tentacles_of_the_SAZAS_Octopus 39. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XXXIX:_On_the_Slippery_Slope to_Capture 40. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XXXX:_The_Idiosyncratic Italians 41. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XXXXI:_Public_Service_or Self-Service? 42. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XXXXII:_A_Parcel_of_Rogues? 43. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XXXXIII:_A_Legal_No-Man’s Land 44. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XXXXIV:_Immunity_=_Impunity? 45. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XXXXV:_In_the_Shadow_of “Waite_and_Kennedy” 46. The_EPO’s_Overseer/Overseen_Collusion_—_Part_XXXXVI:_An_Erosion_of Fundamental_Rights_Protection? 47. YOU ARE HERE ☞ Institutionalised Injustice at the EPO? 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇ILOAT_and_injustice⦈_ Publications_by_the_EPO_Staff_Committee [PDF] criticising deficiencies in the internal dispute settlement system were censored by Team Battistelli in 2016. Summary: For nearly a decade already the EPO has had a profoundly dysfunctional court for staff, much like the court for stakeholders, which is beholden to the Office management (no separation of powers) The main focus of the present series is the EPO “Strike Regulations” which were proposed by the EPO President Benoît_Battistelli and adopted with the "unanimous" approval of the organisation’s Administrative Council in June 2013. “As we shall see in due course, one of the most noteworthy aspects of this affair is the bizarre and incongruous role played by a former judge of the European Court of Human Rights, Sir Paul Mahoney.”The fact that the vast majority of Council delegates had no reservations about blindly rubber-stamping these manifestly deficient regulations is in itself an outrageous affront to the staff of the EPO. But what is equally, if not more, outrageous is the fact that, following Battistelli’s departure at the end of June 2018, the regulations were maintained in force for another three years under the reign of his successor António_Campinos until they were finally struck_down_by_the_ILOAT_on_7_July 2021. However, Campinos had a perfect excuse for upholding the regulations which had been introduced by his predecessor. This is because, in May 2019, the EPO’s internal appeals committee issued an opinion which purported to give the disputed “Strike Regulations” a clean bill of legal health. “As is well known, the shenanigans at the EPO during the Battistelli era caused a massive explosion in litigation, which has in turn led to a huge backlog of cases at the ILOAT, thereby causing severe delays for litigants.”As we shall see in due course, one of the most noteworthy aspects of this affair is the bizarre and incongruous role played by a former judge of the European Court of Human Rights, Sir Paul Mahoney. But before coming to that particular detail, we will begin by taking a look at the EPO’s “internal dispute settlement procedure”, which provides a textbook example of a dysfunctional justice system at an international organisation. As is well known, the shenanigans at the EPO during the Battistelli era caused a massive explosion in litigation, which has in turn led to a huge backlog of cases at the ILOAT, thereby causing severe delays for litigants. 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇ILOAT_caseload⦈_ The shenanigans at the EPO during the “Battistelli era” caused a massive explosion in litigation which in turn led to a huge backlog of cases at the ILOAT, causing severe delays for litigants. The problem was aggravated by dysfunctional nature of the EPO’s internal appeals committee. Indeed, it is no exaggeration to say that under Battistelli the EPO’s internal appeal system was reduced to a joke. In 2014, as social tensions within the EPO escalated, the elected Staff Committee took the position that the level of repression inside the EPO was so severe that it could not nominate members to the Appeals Committee unless certain guarantees were given by the Office management. “Indeed, it is no exaggeration to say that under Battistelli the EPO’s internal appeal system was reduced to a joke.”Faced with this situation, Battistelli ordered the internal appeals committee to continue processing appeals without the two members who should ordinarily have been appointed by the Staff Committee. Subsequently, Battistelli called for staff “volunteers” to fill the vacant positions and proceeded to appoint these hand-picked “volunteers” in place of the missing Staff Committee members. In Judgment_No._3694 [PDF] delivered in July 2016 (local_copy [PDF]), the ILOAT found that the composition of the internal appeals committee without staff members was irregular, because the committee thus composed lacked “a fundamental guarantee of its impartiality”. In Judgment_No._3785 [PDF] delivered in November 2016 (local_copy [PDF]), the ILOAT likewise found that the composition of the internal appeals committee with “volunteers” appointed by the President was irregular because it was not in accordance with the applicable rules which required those members to be appointed by the EPO Staff Committee. These ILOAT Judgments effectively invalidated all decisions of the EPO’s internal appeals committee taken between October 2014 and November 2016. This resulted in a huge number of cases being remitted back from the ILOAT to the EPO for renewed treatment by the internal appeals committee. “These ILOAT Judgments effectively invalidated all decisions of the EPO’s internal appeals committee taken between October 2014 and November 2016.”This legal ping-pong between the Tribunal and the EPO aggravated the already intolerable delays that litigants were forced to suffer. It is small wonder that the EPO Staff Committee described the situation as “institutionalised injustice” in a report issued in 2016. This report which exposed serious deficiencies in the EPO’s internal justice system was censored by_the_Principal_Director_of_Human_Resources, Elodie_Bergot, who personally vetoed its publication on the EPO intranet. The dysfunctionality of the EPO’s internal justice system under Battistelli was an unmitigated disaster for staff, but there appears to have been one fortunate beneficiary of this fiasco. “The dysfunctionality of the EPO’s internal justice system under Battistelli was an unmitigated disaster for staff, but there appears to have been one fortunate beneficiary of this fiasco.”Karoline_Kerber-Zubrzycka, a law graduate from the University of Passau, joined the EPO’s legal department as a lawyer in October 2003. In April 2013 she received the dubious distinction of being selected by Battistelli to chair the internal appeals committee, a position which she held without interruption until December 2017. 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Karoline_Kerber-Zubrzycka⦈_ Karoline Kerber-Zubrzycka chaired the EPO’s dysfunctional internal appeals committee between April 2013 and December 2017. After a brief interlude on the Administrative Tribunal of the CTA, she was appointed as a legally-qualified member of the EPO’s Boards of Appeal by the Administrative Council in September 2021. Kerber-Zubrzycka then returned to the EPO’s legal department and subsequently left the organisation in August 2018 to take up a new position as Vice- President of the Administrative Tribunal of another international organisation, namely the Technical Centre for Agricultural and Rural Cooperation (CTA) based in Wageningen in the Netherlands. “She returned to her old stomping-ground at the EPO in September 2021 when she was appointed as a “legally qualified member” of the Boards of Appeal, the EPO’s legal fudge factory currently located in Haar.”The CTA is a joint organisation of the African, Caribbean and Pacific (ACP) Group of States and the European Union (EU). It operates under the framework of the Cotonou Agreement and is funded by the EU. The CTA used to be under_the_jurisdiction_of_the_ILOAT. However, after the ILOAT delivered a number of judgments against the CTA in 2015 and dismissed the organisation’s requests for a review of these judgments, the CTA withdrew from the Tribunal’s jurisdiction and proceeded to set up its_own_internal “Administrative_Tribunal” in 2018. Kerber-Zubrzycka sat on the CTA’s Administrative Tribunal between November 2018 and June 2021. According to her curriculum vitae, she moved to the OECD in August 2021 where she was appointed Deputy Chair of the “Joint Advisory Board” (JAB). The JAB is the OECD’s equivalent of an internal appeals committee. “In the next part we shall examine the role played by a former judge of the European Court of Human Rights in this sorry saga of “institutionalised injustice”.”She returned to her old stomping-ground at the EPO in September 2021 when she was appointed as a “legally qualified member” of the Boards of Appeal, the EPO’s legal_fudge_factory currently located in Haar. It’s not clear whether Kerber-Zubrzycka still holds onto her position at the OECD following her subsequent appointment to the EPO’s Boards of Appeal but her entry_on_LinkedIn suggests that both appointments are currently active. In the next part we shall examine the role played by a former judge of the European Court of Human Rights in this sorry saga of “institutionalised injustice”. █ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢛⡛⢻⣿⣿⣿⣿⣿⡛⣛⢻⡛⡛⢿⢟⣛⢿⣿⣿⡛⣿⣿⣿⣿⣿⢿⣿⣻⣿⣿⣿⣿⣿⡟⣛⢻⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⢰⡆⡏⣶⢽⣿⡇⣅⢿⡇⣥⣆⢿⣿⢸⣿⢻⠇⡇⣷⢸⢔⢺⢰⣶⢸⢰⣼⢱⡮⣿⡷⣬⢱⡜⣲⢅⡺⡆⡎⣶⢼⢰⡆⣶⢹⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣶⣶⣾⣶⣿⣿⣶⣶⣾⣶⣾⣿⣷⣶⣿⣿⣷⣾⣿⣶⣶⣶⣾⣷⣶⣾⣷⣾⣷⣾⣿⣷⣶⣿⣳⣿⣶⣾⣷⣾⣶⣿⣶⣶⣷⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢼⠿⠿⡿⡿⡿⢹⡧⡿⢹⠿⡿⣿⢹⡿⣼⢿⢿⠿⡿⣿⢿⠿⡗⣼⢽⢿⢿⢿⢿⡿⡷⢸⣿⢧⡿⠿⢿⢧⠿⡿⣿⢿⢿⢻⡿⣼⢿⢿⢿⢿⣭⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣸⣱⣗⣌⣇⣿⣱⣇⣿⣸⣃⣏⣾⣇⣇⣟⣸⣸⣇⣇⣻⣸⣃⣏⣜⣡⣻⣸⣺⣸⣃⣿⣿⣸⣣⣏⡾⣸⣑⣃⣟⣦⣹⣸⣇⣇⣻⣂⣳⣺⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣩⣍⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡯⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⢽⡸⣿⣿⢇⡯⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⢽⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠒⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⢹⢋⠙⠋⢏⢉⡟⣉⠟⠟⠻⠻⠹⠛⠟⠻⠋⣿⡋⡏⠙⡉⡋⠹⢟⠙⢋⢛⢹⡋⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣤⣤⣴⣴⣼⣼⣷⣤⣤⣤⣴⣤⣴⣤⣦⣴⣤⣿⣤⣥⣼⣴⣦⣴⣦⣤⣤⣦⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠉⢫⢋⢹⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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█▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 02.10.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ EPO_Unjustified⠀✐ Posted in Courtroom, Europe, Law, Patents at 6:02 pm by Dr. Roy Schestowitz Video_download_link | md5sum 182df25f7e3f079a3185e8bf7531c6ad Looking Below the Belly of Naked EPO Injustice Creative Commons Attribution-No Derivative Works 4.0 http://techrights.org/videos/looking-inside-epo-kangaroo-courts.webm Summary: Unjustified injustice at the EPO puts in grave doubt the EPO’s capability of deciding on patentability and its credibility in patent cases at large; it seems clear, based on the EPO’s internal tribunals and appeal boards, that the Office controls everything (Benoît_Battistelli and António_Campinos are stacking_the_deck to get their “desired” outcomes) and flagrantly_breaks all_the_laws, even constitutions and conventions_(EPC,_Vienna_Convention_and_so on) THE internal documents from the EPO, combined with ‘battle stories’ (inside the courts and behind the scenes), will tell readers the true story of Europe’s second-largest institution. Ironically enough, Battistelli ended up in a_law school_(albeit_also_UPC_propaganda_mill), though that doesn’t mean he still enjoys diplomatic immunity. 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Tilt the scale of justice and Battistelli wins!⦈ Earlier today we published the story_about_Karoline_Kerber-Zubrzycka, who is back at the EPO despite an appalling record (maybe a reward for this appalling record — a record much desired by Battistelli) and tomorrow we’ll publish a long part about a former judge of the European Court of Human Rights, Sir Paul Mahoney, who after half a decade decided that_staff_of_the_EPO_still_had_freedom_of expression. “The video above gives more examples of Kafkaesque scenarios, e.g. tribunals illegal composed deciding on legality of things.”What sort of justice is this? If “justice_delayed_is_justice_denied“ (as the saying goes), then the EPO lacks any sense of justice. In fact, the EPO’s own judges were illegally_(in violation_of_the_EPC)_lodged_in_Haar_for_about_half_a_decade. How Kafkaesque is that? The video above gives more examples of Kafkaesque scenarios, e.g. tribunals illegal composed deciding on legality of things. █ ⢐⣶⣶⣶⣶⣶⣶⣶⣶⣶⡆⢰⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡶⣶⣶⣶⣴⣶⣤⣴⣶⣶⣶⣶⡶⠖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⢛⣹⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⠿⠛⠋⠛⠂⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣶⣦⡀⣀⠠⠤⢒⡂⠀⣉⠙⡛⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡀ ⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⣉⣵⠞⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⢀⣀⠀⠀⠐⢄⡀⠀⠀⠀⢀⣀⡴⠟⠛⠛⠛⠿⣿⣆⠀⠰⢿⡟⠃⠉⠀⡇⢠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢷⠆⣔⣾⣿⣳⣼⣿⣿⣿⣿⣿⣿⢿⣿⣴⣴⡶⡋⠄⣀⣠⣴⣾⣿⣷⡦⡀⣾⣿⠟⠁⠀⠀⢠⠔⠃⠀⠈⠀⢀⡞⠁⠀⢀⣀⡇⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⢠⣤⣶⣾⣷⠀ ⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢧⣬⣽⣿⣿⣿⣿⣿⣿⣟⣿⣿⣾⣿⣿⣿⣺⣽⣾⣿⣿⣿⣿⣿⣿⣿⡅⠀⡝⠁⣴⡦⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⡇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⡆⢸⣟⠏⠬⠿⠿⠋⠉⠀ ⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢀⠡⣿⡇⠀⠀⣠⣤⣤⣶⣦⠀⠀⠀⠀⢀⣾⠀⠀⡇⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠘⠓⠈⠁⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⡿⠿⠛⠛⢿⢿⢸⡀⠻⠀⢂⣴⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠈⠀⢠⡇⠘⠇⠀⠀⠀⠀⠀⠀⠀⠈⠛⠓⠀⣢⣴⣤⣴⠀⠁⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣟⠫⢝⣂⣥⠀⠈⠀⠀⠀⣸⠇⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣷⠆⠀⠀⠀⢸⠆⠀⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⢿⣿⣿⣄⠀⠰⠀ ⢻⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣯⣾⢿⡍⣿⣿⣿⣿⡿⠿⠻⠛⠯⠵⢞⣩⣤⣼⣿⣿⣧⣤⣤⠠⣴⡶⢷⡆⣶⢰⡶⠿⠛⠉⠁⠀⣠⣶⣾⡇⠀⠀⢀⠀⡜⠄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣧⣤⣵⣾⣶⣿⣾⣿⡏ ⢸⣿⣿⣿⣿⣿⣟⣿⡿⣿⣿⣿⣿⣿⡾⠿⠛⠉⠁⠀⠀⠀⠀⠀⣤⣬⣿⡏⣿⡟⣿⠀⣿⡄⠀⢸⣇⢸⣿⣿⢸⣿⡃⠀⠀⠀⠀⠀⢀⣶⣤⣤⣄⣟⢠⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⣾⣿⣿⣇ ⠘⠛⠩⢺⣿⠟⠋⣻⣽⣿⣿⣿⣍⡀⠀⠀⠂⠀⠀⠀⠀⣴⣥⣼⣿⣿⣿⣧⣿⣧⡿⠶⠿⠇⠀⢸⣿⡘⠛⢛⣿⣿⣿⣾⣧⣤⣶⣾⣾⣿⣿⣿⣿⣿⣿⡍⠈⠓⠂⠀⠀⠀⠀⠀⠀⠀⠀⢀⣨⣿⣿⣿⣿⣿⣿⣿⣿⡿ ⠀⠀⠀⢸⣿⣮⣤⣾⣾⣿⠿⠿⠟⠛⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣟⣻⣿⣯⣤⡍⣤⣤⠎⢻⡧⣶⣾⣿⣿⣿⡿⣿⡟⣿⣷⣿⣿⣿⣿⣻⣿⣿⡠⡈⠂⢐⣀⣨⣤⣴⣶⣶⣿⣿⣿⡿⢿⣟⠿⠿⠋⠙⠁⠀⠀ ⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⠧⣾⣿⣿⣿⣿⡿⣿⣿⣿⣽⣿⣿⣾⣧⣿⡿⡜⢸⡇⣿⣹⣧⣽⢿⡖⣿⡗⢻⡏⣿⣰⡎⣿⣭⣿⣿⣶⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣝⣷⢿⣷⣶⣿⣿⣷⣿⣿⣿⣾⣿⡻⠿⠟⠿⣿⡿⠾⠛⠙⠛⠃⠙⠛⠁⢈⣁⣨⣥⣬⣿⣾⣿⣿⠿⠿⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠷⠦⠀⠀⠀⠀⠀⠈⠉⠉⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠿⢗⣀⣸⣟⣡⣤⣤⣤⣦⣶⣾⣿⠿⠿⠟⠛⠋⠉⠉⠉⠀⠀⠀⠀⢀⣠⣤⣤⠊⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠠⢀⣠⣤⣼⡿⠿⠛⠛⠛⠉⠒⢛⣿⣷⠄⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠋⠉⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣾⣿⣿⣿⣿⢷⣄⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⣿⣿⠤⣼⣄⣀⣯⣭⣞⡁⣸⣿⣏⣩⣿⣧⣾⣿⣿⣿⣿⣿⡿⡟⠟⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠇⣶⡄⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀ ⣼⣿⣿⣿⣢⣿⣿⣿⣿⣿⣿⣿⡿⢿⢿⣿⣿⣿⠿⠿⠿⠚⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢼⣿⣷⠀⣠⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀ ⣽⣿⡶⠾⠿⠛⠛⠉⠉⠉⠁⠀⠐⠊⡁⠬⠦⠒⠒⠃⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡏⠀⠉⣉⡋⢛⠛⠛⠋⠉⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣆⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⣴⣾⣿⣿⣾⣿⡷⣴⣦⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠠⢤⠤⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⡠⠀⡀⠠⠀⠴⠀⢸⣿⣿⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⠨⠮⠶⠠⠀⠀⠀⠀⠀⠀⠀⢁⡀⠀⠐⠪⠁⠀⠀⠚⠀⣀⡀⣿⣯⣿⣽⢐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡛⠻⠟⣿⣿⣿⣯⣄⣼⣿⣻⣤⣒⣛⣻⣿⡟ ⢰⣾⣦⠄⠀⠀⠀⠀⠀⠀⠀⣀⢄⣐⣲⢂⡵⢶⣶⣦⣼⠛⢼⣿⡷⣾⡇⡜⢶⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⡤⠠⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢘⣽⠿⠦⢄⠠⣤⣤⢴⣦⡖⠛⠚⢛⢻⡿⠛⠻⢂⣾⡇⡄⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⡇⠀⣠⣤⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⢸⢃⣌⠀⣰⡌⣻⢏⠉⡉⠀⠃⠉⠑⣤⠖⡾⢶⠞⣿⠁⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⠀⣼⣿⣿⣿⣿⣿⣿⣿⡿⢿⢿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠾⣿⣿⣿⣿⣿ ⢠⣶⣶⣶⣶⣶⣶⣶⣶⣶⣄⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣖⣶⣶⣶⢶⣶⣶⣶⣶⣶⣶⣶⠖⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣦⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⡿⠿⣛⣉⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠁⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢀⣀⡀⠀⠀⠀⠐⠆⠙⠛⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⢉⣠⡾⢟⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⣀⡄⠀⠴⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠐⠿⠿⠿⢿⣟⠉⠂⠀⠀⠀⠀⠀⢸⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡷⢃⣮⣿⣿⣵⣾⣿⣿⣿⣿⣿⠿⣟⣯⣶⣾⣻⣅⣀⣤⣴⣾⣿⣿⣿⡆⠄⠀⣶⣿⠟⠋⠀⠀⠀⡠⠔⠋⠀⠀⠀⠀⠀⠀⠀⢸⠁⢁⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⢠⣶⣾⣿⣷⠀ ⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣡⣶⣾⣿⣿⣿⣿⣿⣯⣻⣽⣾⣿⡿⣽⣷⣽⣶⣿⣿⣿⣿⣯⣿⣿⣿⣧⠄⠈⠁⠿⠲⠶⡤⠐⠉⠀⠀⠀⠀⠀⠀⠀⠀⢸⠜⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⡆⢸⣏⠃⠰⠛⠛⠉⠁⠀ ⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⣴⣄⠀⠀⠀⢀⣤⣤⣤⣄⠀⠀⠀⠀⢠⡟⠀⡜⢰⢢⠀⠀⠀⠀⠀⠀⠀⢀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡿⠿⠛⠉⠙⠻⡯⠀⡀⠈⠆⠀⢒⣴⣿⣿⣿⣿⣿⣧⡀⠀⠀⠉⠇⠀⡇⠈⠿⠀⠀⠀⠀⠀⠀⠀⠈⠉⠋⠀⣠⣶⣦⣶⠀⠇⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣟⠿⠙⣋⣭⡶⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⢸⣿⣿⣿⣿⠿⠿⣿⣿⣦⠀⠀⠀⠀⡇⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣛⢿⡿⢶⠀⣰⡀ ⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣷⣿⣫⢇⣿⣿⣿⡿⠿⠟⠛⠋⠝⠚⢛⣡⣬⣿⣿⣿⣧⣤⣤⠠⣶⡶⢾⡖⣶⢰⡶⠞⠟⠉⠁⠀⠠⢴⡶⠆⠀⠀⢀⠀⣸⢨⠀⠀⠁⠀⠀⠁⠀⠀⠀⠀⠀⠩⣶⣶⣶⣿⣿⣿⣿⣿⡏ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠉⠁⠀⠀⠀⠀⡀⢠⣴⣾⣿⡏⣿⡟⣿⠀⣿⡆⠀⢸⡇⢸⣿⣿⢸⣿⣃⠂⡀⠀⠀⠀⢀⣿⣷⣶⣤⣽⣠⣧⣃⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣯ ⠈⠉⠐⢻⡿⢋⠁⣽⢸⣿⣿⣿⣦⣀⠀⠈⠀⠀⠀⠀⠀⣾⣵⣾⣿⣿⣿⣧⣿⣧⡿⠶⢿⠇⠀⢘⣿⣾⡛⣻⣿⣿⣿⣿⣿⣶⢾⣿⣿⣿⣿⣿⣿⣿⣿⠥⢈⠑⠲⢀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣿⣿⣿⣿⣿⣿⣿⡿⠟ ⠀⠀⠀⢸⣿⣧⣶⠿⠾⠿⠟⠛⠛⠁⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣛⣿⣿⣯⣥⡄⣤⣤⡞⢹⣯⣷⣾⣯⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⠰⠄⣀⣐⣡⣤⣶⣶⣶⣿⣿⣿⢿⣿⡻⠻⠛⠝⠛⠀⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⠧⣾⣿⣿⣿⣿⡿⣿⣿⣿⣽⣿⣿⣾⣧⣿⣿⣼⢺⣏⣿⣿⡿⣿⢿⡟⣿⡇⢻⡏⣿⣰⡎⣿⣭⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣝⣷⢿⣷⣶⣿⣿⣧⣿⣿⣿⣾⡇⡻⠿⠟⢿⣷⡟⠿⠋⠙⠛⠃⠙⣛⣁⣨⣥⣬⣵⣾⣿⣿⠿⠿⠿⠛⠛⠉⠉⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣀⣠⣟⣂⡀⠀⣀⣀⠀⠈⠉⠉⣾⣿⣷⣿⣿⣿⣿⣾⣿⣿⢿⣟⣛⣠⣼⣭⣤⣶⣶⣶⡶⣾⢿⠻⠻⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⣴⣶⣶⣌⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣀⣤⠶⢽⠟⠛⡋⣙⢋⡈⠉⣹⣿⣥⣀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⢿⣦⣴⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⠐⣾⣄⣬⣭⣶⣯⣁⣼⣿⣧⣭⣿⣷⣿⣿⣿⣿⣿⣟⣿⣻⠋⠍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡿⣿⣿⣿⣿⣾⣿⣿⠇⣷⣄⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀ ⣾⣿⠿⢿⣒⣻⣿⣿⣿⣿⡿⠿⡿⢿⣿⣻⡿⠿⡿⣛⢛⠋⢉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢸⣿⣿⡀⣠⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀ ⢿⠿⠿⠛⠛⠋⠉⠉⠀⠀⠀⠀⠉⠠⠔⠐⠒⠛⠉⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⢈⣠⣍⣙⢛⠋⠉⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣤⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢁⣴⣿⣿⣿⣿⣽⡟⣶⣶⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢰⡖⠲⠖⠀⠀⠀⠀⡀⠀⠀⡀⠀⠀⡤⢠⡀⠀⠀⡂⠂⠛⠀⣸⣿⣾⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣗⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⠘⠷⠛⠰⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠉⠐⠁⠀⠀⢁⢀⣄⢀⣿⣿⣿⡾⢨⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⠛⠛⣿⣿⣿⣯⣄⣼⣿⣻⣦⣒⣚⣻⣿⡟ ⢸⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⣤⢴⣘⡵⠢⡼⣿⠾⢷⡞⠛⢸⣿⣏⣻⣇⣜⣓⣀⣀⣀⣀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾ ⢸⡞⣛⠂⠀⢀⣶⣶⣶⣶⠞⠛⣛⣋⠻⠝⠉⠙⣡⣾⢇⡆⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⢀⣠⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⢸⢡⣏⠉⣤⣊⣻⠋⠉⡉⠀⠁⠀⢐⠶⠚⠟⣷⣛⣿⠈⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⠿⠿⡿⠿⢿⡿⣿⠿⢿⣿⢿⣿⣿⠀⣾⣿⣿⣿⣿⣿⣿⣿⣟⠿⢻⣿⣿⣿⠿⠿⡿⣿⣿⣿⣿⣿⣿⣿⠿⠾⣿⣿⣿⣿⣿ ⢠⣴⣶⣶⣶⣶⣶⣶⣶⣶⣦⣴⣶⣶⣶⣶⣶⣶⣶⡶⣶⣶⣖⣶⣶⣶⢖⣲⣶⣶⣶⣶⣶⣶⡖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣛⣫⣥⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠁⠡⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠋⣁⣤⣾⠋⣽⣿⣿⣿⣿⣿⣿⣿⡿⠛⢍⣠⡄⠤⢔⡀⢀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠶⠶⢾⠷⠄⠀⠀⠀⠀⠀⠀⢰⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡻⢋⣮⣿⣿⣷⣾⣿⣿⣿⣿⣿⢿⣻⣿⣶⣿⣋⢥⣀⣯⣶⣾⣿⣿⣿⡗⠀⠀⠀⣠⣴⡲⠴⠀⠀⠀⠀⠀⠅⠀⠀⠀⠀⠀⠀⠀⢸⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡀⣶⣾⣿⣿⠀ ⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣣⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⡦⠀⠀⠫⠏⠀⠀⣀⠠⠂⠀⠀⠀⠀⠀⠀⠀⠀⣤⡤⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠸⣯⠗⠐⠛⠛⠉⠀⠀ ⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⢠⡾⠀⡇⢰⠀⠀⠀⠀⠀⠀⠀⢀⣈⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣟⠛⠉⠈⠛⠟⢅⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣄⠀⠀⢀⢾⡇⢀⡇⠸⡿⠀⠀⠀⠀⠀⠀⠀⠈⠊⢁⣨⣶⣷⣶⡆⠘⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣛⠍⢓⣨⣥⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡿⠿⢿⣿⣷⣤⠀⠀⠁⢸⠃⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⢀⡈⠘⣛⠿⡻⢷⣀⣀⣃ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣷⣿⡿⢇⣿⣿⣿⡿⠟⠛⠙⠉⠓⠚⢋⣡⣵⣿⣿⣿⣯⣤⣦⢠⣶⡶⢶⡖⣶⢰⡾⠆⠸⠋⠁⠀⠀⠠⣶⣶⠀⠈⠁⣨⢀⠇⠆⠀⠈⠀⠠⠈⠀⠀⠀⠀⠀⠈⣷⣶⣶⣿⣿⡿⣿⣿⡏ ⢸⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠋⠉⠀⠀⠀⠀⢀⡀⢀⣶⣮⣿⡏⣿⡟⣿⠀⣿⡶⠀⢸⡇⢸⣿⣿⢸⣿⣃⣌⣠⡄⠀⣀⣤⣼⣾⣿⣶⣶⣷⣾⡬⡀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣷⣿⣿⣿⣧ ⠈⠉⠈⢪⣟⣋⠀⢽⢦⣿⣿⣿⣶⣅⠀⠀⠈⠀⠀⠀⠀⣼⣶⣾⣿⣿⣿⣧⣿⣷⣿⠶⠿⠇⠀⠸⣻⣾⣟⣛⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⡈⠓⠆⠰⠀⠀⠀⠀⢀⣀⣠⣤⣿⣿⣿⣿⣿⣿⡿⡿⠟ ⠀⠀⠀⢸⣿⡶⠾⠿⠿⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣟⣿⣿⣯⣭⡄⣤⣤⡰⢷⡷⣾⣿⣯⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⡿⢿⣿⠛⣢⣀⣡⣤⣴⣶⣾⣿⣿⣿⣿⣿⣟⡿⠿⠋⠛⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⠧⣾⣿⣿⣿⣿⡿⣿⣿⣿⣭⣿⣿⣾⣧⣿⡷⣾⣼⡟⣿⢻⡟⣿⢿⡆⣿⡇⢻⡏⣿⣰⣎⣿⣥⣶⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢨⣝⣷⢿⣷⣶⣿⣿⣧⣿⣿⣿⣾⣿⡻⠿⠟⠿⣷⠏⠾⠃⠙⠛⢃⣙⣻⣥⣬⣷⣾⣷⣿⣿⠿⠿⠿⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⣀⣠⣏⣷⣄⢀⣀⣤⡀⠈⠉⠉⣼⣿⣷⣿⣿⣿⣿⣿⣿⣿⣟⣛⣿⣤⣬⣷⣶⣶⣿⣿⢿⠟⠻⠿⠛⠙⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣤⣶⡖⢺⠏⠉⣉⡉⢉⣄⢉⣩⡿⣿⣄⡀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⡿⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⠒⣾⣶⣴⣶⣶⣯⣤⣼⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡭⠯⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⡟⣼⣦⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀ ⣾⣿⣿⣛⣾⣿⣿⣿⣿⣿⠿⡿⠿⣛⡻⠿⠿⠟⣛⣛⣻⣉⡉⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢱⣿⣿⡄⣠⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀ ⠻⠿⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠐⠚⠋⠉⠉⠁⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡏⠀⢀⣤⣄⢩⣉⡉⡉⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⣴⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣇⣼⣿⣿⣿⣿⣾⣏⣾⣷⡄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢰⣲⢻⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⢠⡄⠀⠈⢐⠁⠚⠁⣸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⣯⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⠐⣛⡛⠐⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⡈⠉⡈⠀⢀⣀⢀⣤⠀⣿⣿⢿⡿⢠⡈⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠙⠛⣿⣿⣿⣯⣄⣼⣿⣻⣤⣒⣛⣻⣿⡟ ⢸⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⣴⣢⣬⣕⣳⣒⣛⠿⢿⡾⠉⢸⣿⣷⣿⣧⣬⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⡆⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾ ⢨⡿⣉⠓⠀⠀⣶⣶⣺⣿⠏⡍⣉⡩⠽⠛⣁⠈⢡⣿⡇⠆⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢀⣴⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⢸⠡⣃⠈⡸⡋⣻⠃⠉⠉⠀⠁⡐⣀⠷⠋⠍⣻⣉⣿⠀⢠⣿⣿⠿⢿⠿⠿⠿⠿⢿⠿⡿⠿⠿⠿⠿⣿⣿⣿⡿⢿⣿⣿⣿⣿⠃⢺⣿⣿⣿⣿⣿⡿⣿⡿⠻⠫⣿⣿⣿⠿⠿⣿⢿⣿⣿⣿⣿⣿⣿⠿⠾⣿⣿⣿⣿⣿ ⢠⣶⢶⣶⣶⣶⣶⣶⣶⣶⣦⣴⣶⣶⣶⣶⣶⣶⣶⡶⣶⣶⣖⣶⣶⣶⢖⣲⣶⣶⣶⣶⣶⣶⡖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣛⣫⣥⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⢀⡉⠩⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣷⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀ ⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠋⣡⣤⡞⢉⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⢉⣠⡤⠤⢖⡠⢀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⡦⠴⣶⡄⠀⠤⠀⠀⠀⠀⠉⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡻⢃⣮⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣻⣿⣾⣿⣫⣭⣠⣭⣶⣾⣿⣿⣿⡗⠀⠀⠀⠀⣀⣀⣄⠀⠀⠀⠀⣈⠉⠂⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠀⣶⣶⣿⣿⠀ ⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⢄⠀⠸⡿⠋⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠁⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⢸⣯⠓⠰⠟⠛⠉⠁⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣂⠀⠈⠉⠉⠁⠀⠀⠈⠀⠀⢀⣀⡀⠀⠀⠀⠀⢀⣻⠟⢹⠀⡄⠀⠀⠀⠀⠀⠀⢀⣈⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣟⠋⠉⠈⠛⠇⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⡀⠀⠀⠀⣼⣿⠀⡆⠸⣷⠀⠀⠀⠀⠀⠀⠀⠈⠉⢁⣨⢶⣷⣶⡆⠈⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣻⠍⢓⣨⣵⣶⠀⠀⠀⠀⠀⠈⠀⠄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣦⣄⣼⣿⡏⢀⠇⠀⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣻⠿⡿⢷⡀⣈⡂ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡿⣇⣿⣿⣿⠿⠛⠛⠙⠉⠒⠛⢋⣤⣷⣿⣿⣿⣯⣤⣤⢠⣶⡶⢶⡆⣶⢰⡶⠆⠀⠿⠋⠉⠁⢠⣴⣞⡋⠉⠙⠙⢀⡎⠦⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠈⣷⣶⣶⣿⣿⡿⣿⣿⡏ ⢸⣿⣿⡿⣿⣿⣿⢿⣿⣿⣿⣿⡿⠿⠛⠋⠉⠀⠀⠀⠀⢀⡀⢠⣶⣾⣿⡏⣿⡟⣿⠀⣿⡦⠀⢸⡇⢸⣿⣿⢸⣿⣣⣦⣤⣄⣀⣠⣤⣼⣿⣿⣿⣶⣶⡾⠦⣀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣧ ⠈⠉⠐⢻⣟⣁⠀⢽⢾⣿⣿⣿⣶⣤⠀⠀⠈⠀⠀⠀⢀⣾⣶⣿⣿⣿⣿⣧⣿⣧⡿⠶⠿⠇⠀⠸⢛⣾⣿⣛⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⡈⠓⠆⠰⠀⢀⠀⠀⢀⣀⣀⣤⣿⣿⣿⣿⣿⣿⣿⠿⠟ ⠀⠀⠀⢸⣿⠶⠾⠿⠟⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣟⣿⣿⣯⣭⡆⣤⣤⡰⢿⡟⣿⣿⣯⣿⣿⡿⣿⡟⣿⣿⣿⣿⣿⣿⡛⠿⠿⠉⣢⣀⣡⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⠓⠊⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⠧⣾⣿⣿⣿⣿⡿⣿⣿⣿⣽⣿⣿⣾⣷⣿⡷⣾⢾⡗⣿⢹⡇⣽⢿⡆⣿⡇⢻⡏⣿⣰⣎⣿⣥⣶⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢨⣝⣷⢿⣷⣶⣿⣿⣧⣿⣿⣿⣿⣿⡻⠿⠟⠿⡿⠃⠾⠃⠙⣛⣃⣙⣿⣥⣼⣷⣾⣿⣿⣿⡿⠿⠿⠛⠛⠋⠉⠁⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⠀⠀⠀⠀⢀⣀⣀⣠⣿⣧⣄⣀⣀⣤⡀⠈⠉⠉⣾⣿⣷⣿⣿⣿⣿⣿⣿⣿⣟⣛⣿⣤⣴⣶⣶⣾⣿⣿⠿⠟⠛⠿⠿⠙⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣶⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣠⣤⣶⠖⢻⠏⣉⣉⡉⢁⡄⠉⣹⡿⣿⣄⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠋⠉⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⢻⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣷⠒⣾⣦⣴⣶⣶⣧⣤⣼⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⠽⠉⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⡇⣿⣆⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀ ⣿⣿⣿⣻⣿⣿⣿⣿⣿⡿⠿⠿⠿⡟⢿⠿⡿⢟⣛⣛⣋⡉⠉⠥⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢱⣿⣿⡄⣠⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀ ⠻⠟⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠐⠓⠘⠋⠉⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⢀⣤⣄⢩⣉⡉⠁⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣧⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣁⣾⣿⣿⣿⣿⣿⣟⣾⣷⡄⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢰⡞⢻⠍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢠⡄⠀⠌⢀⠁⠛⠀⣼⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣯⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⠘⣓⡛⠐⠀⠀⠀⠀⠀⠀⠀⠠⠂⠀⠈⠉⡀⠀⢀⡁⢠⣤⠄⣿⡿⢿⡿⢠⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠙⠛⣿⣿⣿⣯⣄⣼⣿⣻⣦⣒⣛⣻⣿⡟ ⢸⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⣴⣶⣬⣝⣑⣚⣻⠿⢿⡟⠉⢸⣿⣯⣿⣧⣬⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⡖⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⢀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢨⡿⣙⠒⠂⢰⣶⣖⣾⣿⠋⡉⣩⠩⠽⠛⣁⠈⣡⣿⢇⠆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢀⣴⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⢼⣠⣁⠈⣶⡉⡛⠋⠉⠉⠀⠁⢀⣸⠗⠋⠛⣿⣩⣿⠈⢰⣿⣿⠿⠿⡿⠿⠿⠿⠿⣿⠿⣿⠿⣿⠿⣿⣿⣿⡿⣿⣿⣿⣿⣿⠁⢾⣿⣿⣿⣿⣿⣿⣿⡿⠻⠛⣿⣿⣿⠿⠿⣿⢿⣿⣿⣿⣿⣿⣿⠿⠾⣿⣿⣿⣿⣿ ⢠⣶⢶⣶⣶⣶⣶⣶⣶⣶⣤⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣖⣶⣶⣶⢖⣲⣶⣶⣶⣶⣶⣶⡖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢛⣋⣡⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠁⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀ ⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠋⣡⣤⡞⢋⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⢉⣠⡤⠠⠖⡁⢂⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣦⣶⣿⠆⠀⠀⢀⡀⠠⠀⠉⠛⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡟⢡⣬⣿⣿⣵⣾⣿⣿⣿⣿⣿⣿⣻⣷⣶⣿⣫⣭⣐⣤⣶⣾⣿⣿⣿⡗⠄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠳⠂⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠠⣶⣶⣿⣷⠀ ⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⣞⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⡖⢸⣏⠃⠰⠟⠛⠋⠁⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣄⠉⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⡀⠀⠀⠁⠁⠰⡶⢻⠀⡀⠀⠀⠀⠀⠀⠀⢀⣈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡟⠛⠉⠉⠻⢿⡇⢀⣀⣾⡷⢤⡄⠀⣴⣶⣾⣇⣄⠀⠀⠀⠀⣸⣿⠁⡜⠠⣷⠄⠀⠀⠀⠀⠀⠈⠉⠋⠀⣠⢶⣶⣶⡄⠈⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣻⠏⢓⣪⣵⣶⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⡄⠀⢀⣴⣿⣿⠀⠇⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣟⠿⡿⢧⠀⢰⡀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣷⣿⡿⢆⣿⣿⣿⡿⠟⠛⠛⠉⠓⠚⢋⣤⣾⣿⣿⣿⣧⣤⣤⢠⣶⡶⢶⡆⣶⢰⡶⠆⢈⣿⣿⠿⠿⠛⢒⣖⡒⠚⢻⡟⠇⡜⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣷⣶⣶⣿⣿⣿⣿⣿⡟ ⢸⣿⡿⢟⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠋⠉⠀⠀⠀⠀⠀⡀⢠⣶⣾⣿⡏⣿⡟⣿⠀⣿⡦⠀⢸⡇⢸⣿⣿⢸⣿⣣⣦⣽⣆⣀⣤⣶⣼⣿⣿⣿⣶⣶⡾⡤⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣧ ⠈⠁⠘⢻⣟⣉⠀⣽⢸⣿⣿⣿⣦⡄⠀⠀⠁⠀⠀⠀⢀⣿⣶⣿⣿⣿⣿⣧⣿⣧⡿⠶⠿⠇⠀⠸⢛⣼⡛⣛⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⠀⡈⠲⠄⠀⠀⠀⠀⠀⠀⣀⣀⣤⣿⣿⣿⣿⣿⣿⣿⠿⡟ ⠀⠀⠀⣾⣿⢶⠾⠿⠿⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣛⣿⣿⣧⣥⡄⣤⣤⠠⢿⡟⣿⣿⣯⣿⣿⡿⣿⡟⣿⣿⣿⣿⣿⣿⡛⠻⢿⠉⢢⣀⣐⣤⣤⣶⣶⣾⣿⣿⣿⣿⣿⡿⠿⠏⠛⠛⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⠧⣾⣿⣿⣿⣿⡿⣿⣿⣿⣽⡿⣿⣾⣧⣿⡷⣾⢾⡇⣿⢹⡇⣽⢿⡆⣿⡇⢻⡏⣿⣰⣎⣿⣥⣶⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣝⣷⢿⣷⣶⣿⣿⣧⣿⣿⣿⣿⣇⡻⠿⠟⠿⡿⠃⠾⠃⠙⣛⣋⣙⣿⣥⣾⣷⣾⣿⣿⣿⡿⠿⠿⠛⠛⠛⠉⠉⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⣀⣰⣛⣦⣀⢀⣀⣀⠀⠈⠉⠉⣾⣿⣷⣿⣿⣿⣿⣾⣿⣿⣿⣟⣳⣤⣼⣶⣶⣾⣿⣿⢿⡿⠿⠿⠟⠋⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣤⣶⠖⢿⠛⠉⣉⡉⢁⡈⡉⣽⣿⣧⣀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⢿⣦⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⣿⣿⡷⠲⣿⣦⣴⣶⣾⣧⣀⣾⣿⣴⣾⣿⣷⣿⣿⣿⣿⣿⣿⣿⡙⠭⠍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣷⡆⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀ ⣿⣿⣿⣻⣾⣿⣿⣿⣿⣿⠿⡿⠟⣿⣿⡿⠿⠿⣛⣛⣋⡙⠉⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⡀⣠⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀ ⠿⠿⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀⠀⠐⠒⠚⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠇⠀⢈⣠⣉⣉⣋⠋⠉⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣦⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣀⣾⣿⣿⣿⣿⣿⣟⣶⣦⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢒⡖⣲⠃⠀⠀⠀⠀⠀⠀⠀⡀⠀⠠⠤⢠⠄⠀⠄⡂⠀⠛⠀⣼⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢇⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⠐⢓⡋⠐⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠉⢑⠁⠀⢀⠁⢠⣄⢀⣿⡿⣷⡇⡨⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⠛⠛⣿⣿⣿⣯⣄⣼⣿⣻⣤⣒⣚⣻⣿⡟ ⢸⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⣄⣠⣩⣖⣴⣞⣳⠾⢷⡟⠉⢸⣿⣋⣿⣧⣙⣻⣀⣀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾ ⢨⡟⡙⠒⠀⢲⣶⣶⣶⣿⢛⠋⣉⠩⠹⠛⡉⠉⣡⣿⢣⠆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡇⢀⣴⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⢸⣸⣁⠉⣵⡉⡛⢊⠉⠉⠈⠀⠀⠰⠖⠫⠛⣷⣹⡿⠀⢸⣿⣿⡿⣿⡿⣿⠿⢿⣿⣿⡿⠿⠿⣿⢿⣿⢿⠿⢿⣿⣿⣿⣿⡿⠁⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⠿⠿⡿⣿⣿⣿⣿⣿⣿⣿⠿⠾⣿⣿⣿⣿⣿ ⢠⣶⣶⣶⣶⣶⣶⣶⣶⣶⣤⣶⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡶⣖⣶⣶⣶⣶⣶⣶⣶⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣛⣋⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠉⠀⠄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⠀⠀ ⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠉⣡⣤⡟⢹⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⢁⣠⠤⠤⢂⠀⢀⣠⡄⠀⠀⠀⠀⠀⠀⠀⣴⣶⣾⣿⣿⠀⠀⠀⢀⡀⠤⠀⠀⠉⠉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠟⢱⣼⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣯⣍⣰⣥⣶⣿⣿⣿⣿⠓⠄⠀⠀⠀⠀⠘⠁⠉⠉⠉⠛⡻⠶⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⢠⣶⣶⣿⣷⠀ ⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡆⢹⣏⠃⠴⠟⠛⠉⠁⠀ ⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⣄⡀⠀⠀⠈⠀⠀⠀⠀⠀⢀⣶⣿⣿⣿⣿⠟⡿⢀⡀⠀⠀⠀⠀⠀⠀⢀⡈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡛⠋⢉⠙⠻⣿⡀⠀⢰⣿⣷⣆⠀⣠⣦⣴⣾⣷⠀⢸⣿⣿⣿⣿⣿⠀⡇⠸⣷⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⣠⣶⣦⣶⠀⠃⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣻⠍⣓⣩⣴⡆⠀⠀⠀⠀⠈⠈⠀⠺⠟⠛⠃⣰⣿⣿⣿⣿⣿⡄⠙⠛⠛⠛⢩⡏⢰⠃⠀⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⣻⠿⡿⢆⠀⢰⡀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⡿⣐⣿⣿⣿⠿⠛⠛⠛⠉⠒⠛⢋⣤⣾⣿⣿⣿⣧⣤⣤⠠⣶⡶⢶⡖⣶⢰⡾⠂⠻⣿⣿⣿⣿⠃⢀⣀⠀⢀⣶⣿⢇⠎⡆⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠩⣶⣶⣶⣿⣿⣿⣿⣿⡟ ⢸⣿⡿⢿⣿⣿⡿⡿⣿⣿⣿⣿⡿⠿⠛⠉⠉⠀⠀⠀⠀⢀⡀⢰⣶⣿⣿⣏⣿⡟⣿⠀⣿⡆⠀⢸⡇⢸⣿⣿⢸⣿⣣⣬⣾⣏⣁⣤⣤⣾⣿⣿⣿⣿⣿⣿⢤⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣯ ⠀⠉⠘⣿⣟⡁⠈⡿⣼⣿⣿⣷⣦⡀⠀⠀⠁⠀⠀⠀⢠⣿⣶⣿⣿⣿⣿⣧⣿⣷⡿⠶⠿⠇⠀⠸⠛⠘⢛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠗⠀⡉⠢⠄⢀⠀⠀⠀⠀⠀⣀⣀⣤⣿⣿⣿⣿⣿⣿⣿⠿⠟ ⠀⠀⠀⣿⣿⠶⠾⠿⠟⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣫⣤⡄⣤⣤⡴⢷⡟⣿⣿⣯⣿⣿⡿⣿⡟⣿⣿⣿⣿⣿⣿⡛⠿⠿⠘⢢⣀⣱⣤⣤⣶⣶⣾⣿⣿⣿⣿⣿⡻⠿⠏⠛⠛⠂⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⠧⣾⣿⣿⣿⣿⡿⣿⣿⣿⣽⡏⣿⣾⣧⣿⡷⣿⢾⡇⣿⢹⡇⣽⢿⡆⣿⡇⢻⡏⣿⣰⣎⣿⣥⣶⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢨⣝⣷⣿⣷⣶⣿⣿⣷⣿⣿⣿⣿⣇⡻⠿⠟⢿⡟⠁⠾⠓⠙⣛⣋⣙⣿⣥⣼⣷⣾⣿⣿⣿⡿⠿⠿⠛⠛⠋⠉⠉⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⣀⣸⣻⣦⡀⢀⣀⣀⠀⠈⠉⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣛⣣⣤⣼⣶⣶⣾⣿⣿⡿⠿⠿⠿⠛⠋⠋⠉⠈⠀⠀⠀⠀⠀⠀⠀⢠⣴⣶⣶⣆⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣠⣤⣶⠒⡿⠉⢉⣉⡉⢡⡈⣉⣽⢿⣧⣀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⢿⣦⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⡗⢲⣷⣤⣶⣶⣾⣥⣠⣿⣿⣶⣾⣿⣶⣿⣿⣿⣿⣿⣿⣿⡏⠍⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣷⡀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀ ⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⠿⠿⠟⣻⣿⡿⠿⢿⣛⣛⣛⣉⡉⠥⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢸⣿⣷⠀⣠⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀ ⠻⠟⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠁⠐⠒⠚⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠃⠀⣈⣠⣉⢉⣙⠉⠉⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣤⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣠⣾⣿⣿⣿⣾⣿⣛⣶⣦⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣒⡞⡻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⢤⠀⠠⠄⡂⠘⠋⠀⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⣇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⠘⣛⠃⠂⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⢉⢁⠁⠀⣀⡁⣠⣄⢰⣿⡿⣷⡇⡌⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⠛⠛⣿⣿⣿⣯⣄⣼⣿⣻⣤⣒⣛⣻⣿⡟ ⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⢠⣄⣦⣭⣆⣴⣚⡷⠿⣶⠏⠁⣾⣿⣛⣿⣥⣛⣣⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾ ⢨⣏⡛⠂⠀⣲⣶⣖⣶⡿⢉⢉⣉⠍⠟⠋⡉⠉⣼⣿⢰⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⠀⢀⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⢈⣸⣁⠉⣐⡉⡋⠍⠉⠁⠈⠀⠀⠰⠖⠫⢛⣏⣹⡇⠀⣼⣿⣿⡿⣿⡿⣿⠿⢿⣿⡿⠿⠿⠿⣿⠿⡿⡿⠿⢿⣿⣿⣿⣿⡿⠀⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⠿⠿⡿⣿⣿⣿⣿⣿⣿⣿⠿⠾⣿⣿⣿⣿⣿ ⢠⣶⣶⣶⣶⣶⣶⣶⣶⣶⣤⣶⣶⣶⣶⣶⣶⣶⣶⢶⣶⣶⣶⣶⣶⡶⣒⣶⣶⣶⣶⣶⣶⣶⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢟⣛⣭⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⠀⠀ ⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⢉⣠⣴⡏⢩⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⣁⣤⠄⠰⢂⠢⣀⣬⣄⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣄⠀⠀⠀⠒⠈⠁⠀⠀⠀⠀⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⠟⣱⣵⣿⣿⣾⣿⣿⣿⣿⣿⣿⣟⣿⣷⣿⣿⣭⣕⣢⣥⣶⣿⣿⣿⣿⠓⠄⠀⢠⡜⠋⠉⠉⠉⠛⠛⠥⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⢠⣶⣾⣿⣧⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⡦⠀⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣶⣶⣤⣶⢾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡆⢹⣏⠃⠴⠟⠛⠉⠁⠀ ⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⢀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⣿⠃⢸⠀⡆⠀⠀⠀⠀⠀⠀⠀⢀⣈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⡛⠉⠉⠉⠻⢿⡅⢸⣿⣿⣦⠀⣤⣠⣴⣾⣧⠀⢸⣿⣿⣿⣿⣿⠀⣸⠨⢿⠅⠀⠀⠀⠀⠀⠀⠀⠘⠉⢀⣤⣾⣶⣶⠀⠃⠀⠀ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣟⡯⠙⣂⣭⣴⡆⠀⠀⠀⠀⠀⠀⣿⣿⠟⠁⣾⡿⢳⢿⣿⣿⡄⠐⠶⠫⠿⢿⣿⠀⡏⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣻⢿⡿⢆⠀⣰⡀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⣿⣿⡿⠿⠛⠋⠉⠙⠚⠛⢉⣴⣿⣿⣿⣿⣧⣤⣤⠠⣶⡶⢶⡖⣶⢰⡶⠿⣿⣿⣿⣽⠏⡁⢀⠀⠀⠀⠀⠈⣸⠱⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⢩⣶⣶⣶⣿⣿⣿⣿⣿⡟ ⢸⣿⠿⣿⣿⣿⡿⡿⣿⣿⣿⣿⠿⠟⠛⠉⠁⠀⠀⠀⠀⣀⠀⣰⣾⣿⣿⣏⣿⡏⣿⠀⣿⡄⠀⢸⡇⢸⣿⣿⢸⣿⣃⣨⣿⠋⢁⣠⣭⣿⣿⣶⣦⣤⣤⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣯ ⠀⠀⠙⣿⣛⡀⠠⡿⣼⣿⣿⣿⣦⡄⠀⠀⠁⠀⠀⠀⢠⣷⣾⣿⣿⣿⣿⣧⣿⣷⡿⠶⠿⠇⠀⢸⡟⡘⠛⢻⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⢈⠙⠢⠀⢆⠀⠀⠀⠀⢀⣀⣀⣼⣿⣿⣿⣿⣿⣿⣿⠿⠟ ⠀⠀⠀⣿⠿⠶⠿⠟⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣩⣥⡄⣤⣤⢟⢴⡶⣾⣿⣯⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠱⣄⣀⣲⣤⣴⣶⣶⣿⣿⣿⡿⣿⣿⠿⠿⠛⠛⠓⠀⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⠧⣾⣿⣿⣿⣿⡿⣿⣿⣿⣽⡇⣿⣾⣧⣿⡷⣦⣾⡟⣿⢻⡏⣿⢿⡆⣿⡇⢻⡏⣿⣰⣎⣿⣵⣶⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢨⣝⣷⣿⣷⣶⣿⣿⣷⣿⣿⣿⣿⣇⡻⠿⠟⢿⡿⠃⠾⠃⠙⠛⢃⣙⣛⣥⣼⣷⣾⣿⣿⣿⡿⠿⠟⠛⠛⠋⠉⠉⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣀⣀⣼⣿⣤⣀⣀⣠⣄⠀⠈⠉⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣻⣧⣤⣿⣶⣶⣾⣿⡿⠿⠟⠛⠿⠛⠋⠉⠉⠉⠀⠀⠂⠀⠀⠀⠀⢠⣴⣶⣶⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣤⣴⡖⠛⡿⢉⣉⣉⠉⣡⠀⣉⣾⢷⣧⣀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⡿⢷⣦⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢺⣿⣿⡗⢲⣷⣤⣶⣶⣿⣦⣤⣿⣿⣶⣾⣿⣿⣿⣿⢿⣿⣿⣿⣏⡩⠯⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢣⣷⡀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀ ⢿⣿⣛⣷⣿⣿⣿⣿⣿⠿⠿⠿⣿⡿⠿⠿⢿⣟⣛⣛⣩⡍⠉⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡗⣼⣿⣷⠀⣠⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀ ⠻⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠄⠀⠂⠛⠉⠉⠉⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠁⠀⣀⣤⡉⣉⣉⠉⠉⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣴⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⣠⣾⣿⣿⣿⣿⣿⣳⣶⣦⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢰⢋⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠆⣤⠀⠀⠁⡂⠈⠋⢀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⢐⣛⠃⠂⠀⠀⠀⠀⠀⠀⠀⠐⠀⣀⠁⢁⠀⠀⣈⡀⣠⡤⢸⣿⡿⣿⠇⣄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡝⠛⠋⣿⣿⣿⣯⣄⣼⣿⣻⣤⣒⣛⣻⣿⡟ ⢸⣿⡗⠀⠀⠀⠀⠀⠀⠀⢠⣆⣦⣭⣚⣒⣛⡿⠿⣿⠋⠁⣿⣿⣽⣿⣤⣽⣧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡀⣀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢨⢍⡉⠒⠀⣶⣶⣲⣿⡟⢩⢉⡍⠭⠟⢋⡀⢉⣼⡿⠰⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣀⣶⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⢁⣸⢀⠉⣚⡉⡋⠍⠉⠁⠀⠀⣀⡵⠚⠹⢹⣏⣹⡇⠁⣾⣿⣿⢿⣿⠿⠿⠿⣿⠿⠿⠿⠿⡿⢿⠿⡿⢿⢿⣿⣿⣿⣿⣿⡟⠐⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⢻⣿⣿⡿⠿⠿⡿⣿⣿⣿⣿⣿⣿⣿⠿⠾⣿⣿⣿⣿⣿ ⣴⡶⣶⣶⣶⣶⣶⣶⣶⣶⣤⣶⣶⣶⣶⣶⣶⣲⣶⢶⣶⣶⣶⣶⣶⡶⣒⣶⣶⣶⣶⣶⣶⣶⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢟⣛⣭⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠉⠀⡉⢁⠀⠀⠀⠀⣠⣤⣶⣶⣄⠀⠀⠀⣀⠤⠔⠚⠉⠁⠀⠀⠉⣝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⠀⡀ ⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⢉⣠⣴⡟⢩⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⣁⣤⢤⠤⢖⠠⣊⣨⣄⠀⠀⣰⣿⣿⣿⣿⣿⣖⣋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⢰⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⠟⠱⣴⣿⣿⣶⣿⣿⣿⣿⣿⣿⣟⣿⣷⣿⣿⡯⣅⣢⣭⣶⣿⣿⣿⣿⠓⢀⠟⠉⠉⠉⠉⠛⠫⠝⣷⡀⠀⣀⣠⣤⣤⣤⣤⣤⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⢠⣴⣶⣿⣧⠀ ⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠠⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⣿⣿⣿⣿⣿⠏⠀⡇⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡆⢹⣟⠃⠼⠿⠛⠋⠁⠀ ⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⢿⣿⣿⣿⠀⢠⡇⣿⡆⠀⠀⠀⠀⠀⠀⠀⢀⡘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⡛⠋⠉⠉⠻⠃⣿⣿⣷⡄⠠⠄⣀⢴⣻⣆⠀⠀⠰⣿⣿⣿⣿⠀⢸⠂⠞⡃⠀⠀⠀⠀⠀⠀⠀⠈⠙⠃⢀⣠⣶⣦⣶⠀⠃⠀⠀ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣟⡯⢙⣂⣭⣶⡆⠀⠀⠀⠀⠀⣿⣿⠏⠀⡿⠋⠡⠂⣛⡿⠄⠀⠀⠈⠉⠛⣿⠀⢸⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣿⢿⡿⢎⠀⢰⡀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⡿⠿⠛⠋⠉⠙⠚⠛⢉⣶⣿⣿⣿⣿⣧⣴⣤⠠⣴⣶⢿⡖⣶⢰⡾⠗⣂⠔⡛⠁⣁⡀⠀⠀⠀⠀⠀⠁⡇⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⣶⣶⣶⣿⣿⣿⣿⣿⡟ ⢸⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⠿⠟⠋⠉⠁⠀⠀⠀⠀⣀⠀⣰⣾⣿⣿⣏⣿⡏⣿⠀⣿⡄⠀⢸⣇⢸⣿⣿⢸⣿⡃⢉⡉⠁⠀⠉⢱⣿⣶⣦⣤⣄⣸⣥⣅⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣯ ⠀⠀⠘⣿⣋⡄⠠⡿⣾⣿⣿⣿⣦⡄⠀⠀⠀⠀⠀⠀⢠⣷⣾⣿⣿⣿⣿⣯⣿⣷⠿⠶⠿⠇⠀⣸⡟⠘⠛⣻⣿⣿⣿⣿⣷⣶⣿⢿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠉⠃⢠⢆⠀⠀⠀⠀⠀⣀⣀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠟ ⠀⠀⠀⡿⠿⠿⠿⠟⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣠⣤⡄⣤⣴⢁⢶⡖⣾⣿⣿⣿⣿⡿⣿⡿⣿⣿⣿⣿⣿⣿⣻⣿⡿⠢⣀⣐⣨⣤⣤⣶⣶⣾⣿⣿⣿⣿⣿⡿⠿⠟⠛⠛⠒⠉⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⠧⣾⣿⣿⣿⣿⡿⣿⣿⣿⣽⡇⣿⣾⣧⣿⡷⣽⢸⣇⣿⣽⣧⣿⢿⡏⣿⡇⢻⡏⣿⣰⡎⣿⣽⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⢨⣝⣷⣿⣷⣶⣿⣿⣷⣿⣿⣿⣿⣇⠻⠿⠟⢿⣿⠛⠿⠋⠙⠛⠃⣙⣛⣁⣬⣥⣬⣷⣿⣿⡿⠿⠟⠛⠛⠋⠉⠉⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣤⣤⣼⣿⣤⣀⣀⣤⣄⠀⠈⠉⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣻⣤⣤⣿⣶⣶⣶⣶⡶⢾⡿⠿⠟⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⣶⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣷⡞⠛⡟⢉⣉⣉⢉⣥⠀⣉⣾⢿⣧⣀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠋⠉⠉⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⡿⢷⣦⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⣿⣿⡖⢸⣷⣤⣶⣶⣿⣦⣤⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣯⡽⠍⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣷⡀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀ ⢿⣿⣛⣷⣿⣿⣿⣿⣿⠿⠿⠿⢟⡿⠿⠿⢿⣛⣛⣛⣩⣉⠍⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣾⣿⣷⠀⣠⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀ ⠛⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠒⠒⠛⠉⠉⠉⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠁⠀⣡⣤⡉⣉⡋⠉⠉⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣴⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⣠⣾⣿⣿⣿⣯⣿⣳⣶⣦⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⢙⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠆⣤⠀⠀⠁⡊⠘⠋⢀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⣃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⢘⣋⠃⠃⠀⠀⠀⠀⠀⠀⠀⠒⠀⣀⠁⢁⠀⠀⣈⡀⣠⡤⢸⣿⡿⣿⠇⣄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡙⠛⠋⣿⣿⣿⣯⣌⣽⣿⣻⣦⣒⣛⣻⣿⡟ ⠸⣿⡓⠀⠀⠀⠀⠀⠀⠀⢰⣖⣦⣽⣊⣒⣛⡿⠿⣿⠋⠁⣿⣿⣽⣿⣤⣽⣧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡀⣀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾ ⢸⢉⠉⠂⠀⣴⣶⣺⣿⡟⣩⢉⡍⠭⠟⢋⡀⢉⣼⡿⡰⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣀⣶⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⢁⣸⢄⠈⣞⡉⠋⠍⠉⠁⠀⡐⣀⡽⠚⠉⢹⣏⣽⡇⠁⣾⣿⣿⡿⣿⡿⠿⠿⢿⠿⠿⡿⡿⣿⢿⠿⡿⢿⢿⣿⣿⣿⣿⣿⡟⠐⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⡿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⠿⠾⣿⣿⣿⣿⣿ ⣰⡶⣶⣶⣶⣶⣶⣶⣶⣶⣤⣶⣶⣶⣶⣶⣶⣶⣶⢶⣶⣶⣲⣶⣶⡶⣒⣶⣶⣶⣶⣶⣶⣶⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠤⠄⠒⠲⠶⣶⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢟⣛⣭⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⣀⠉⠁⠀⢀⣀⡴⣶⣦⡀⠀⣀⡠⠴⠒⠉⠁⠀⠀⠀⠀⠀⠀⣆⢠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀ ⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠋⣉⣤⣴⡋⣹⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⣁⣤⣤⡶⢂⠴⣈⣤⡀⣯⣿⣷⢻⣻⣿⣯⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠘⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠋⣴⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣭⣁⣪⣭⣶⣿⣿⣿⣿⠿⠻⠿⠟⠛⠛⠋⢺⣷⣀⣀⣤⣶⣿⣿⣿⣿⡿⠋⡯⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⢤⣤⣶⣿⣆⠀ ⣻⣿⣿⣿⣿⣿⣿⣿⣿⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠛⢛⣿⣿⣿⣿⣿⣿⣿⡇⠀⡇⢰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣶⠆⣿⣹⠡⠽⠿⠟⠋⠁⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⢛⣿⣿⣿⣿⡇⠀⡇⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠂⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠛⠋⠉⠙⠇⣹⣷⡄⠀⣀⡀⢀⠞⢷⡄⠀⠀⠘⠟⠟⢿⣿⡇⠀⡇⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠓⢀⣤⣶⣤⣦⠈⠂⠀⠀ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣟⡻⠙⣒⣭⣶⡆⠀⠀⠀⠀⣿⡇⠀⠸⡷⠂⠀⠌⢚⠳⠄⠀⠀⠀⠀⠀⠉⠡⢠⠇⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⣿⣿⡿⡄⠀⢆⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⢿⣸⣿⣿⡿⠟⠛⠛⠋⠑⠚⠛⣡⣼⣾⣿⣿⣿⣥⣤⣤⠠⣴⣿⢶⡆⣶⢰⡶⠆⠀⠂⠀⢁⡄⠀⠀⠀⠀⠀⠀⣸⢘⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⣤⣾⣶⣿⣾⣿⣿⣿⡟ ⢸⣿⢟⣿⣿⣿⢿⣿⣿⣿⣿⣿⠿⠟⠛⠉⠁⠀⠀⠀⠀⣀⠀⣶⣾⣿⣿⣿⣿⡏⣿⠀⣿⡄⠀⢸⡇⢸⣿⣿⢸⣿⡃⠀⠀⠀⠉⠋⣾⣷⣶⣤⣄⣠⣿⠯⣅⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣷⣿⣿⣿⣇ ⠀⠁⠺⣿⣋⠀⢰⡧⣿⣿⣿⣷⣦⠀⠀⠈⠀⠀⠀⠀⣸⣷⣾⣿⣿⣿⣿⣿⣿⣷⠿⠶⠿⠇⢠⠿⠟⠘⢛⣿⣿⣿⣿⣿⣶⠦⠿⣿⣿⣿⣿⣿⣻⣿⡷⠀⠄⣈⡀⡀⡀⠀⠀⠀⠀⠀⣀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡟ ⠀⠀⢸⣿⡷⠾⠿⠿⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣟⣻⣿⡿⣠⣤⡄⣤⣧⡠⢴⡖⣿⣿⣧⣾⣿⡿⣿⡟⣿⣿⣿⣿⣿⣿⣛⣿⡗⢤⠀⣀⣂⣠⣥⣴⣶⣶⣿⣿⣿⣿⣿⣿⠻⠿⠝⠛⠒⠀⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⠧⣾⣿⣿⣿⣿⡿⣿⣿⣿⣿⠇⣿⣾⣧⣿⡷⠅⢿⣇⣿⣸⣧⣿⢿⡟⣿⡇⢻⡏⣿⣰⡎⣿⣽⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⢨⣝⣷⣿⣷⣶⣿⣿⣷⣿⣿⣿⣿⠀⠻⠿⠟⣿⡷⠛⠿⠋⠙⠛⠃⠙⢛⣁⣈⣥⣬⣵⣾⣿⣿⠿⠿⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⣀⣠⣿⣷⣄⡀⣀⣤⡄⠀⠈⠉⣹⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣛⣒⣤⣤⣯⣥⣤⣴⣶⣶⠶⣿⠿⠿⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⣠⣶⣶⣶⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣤⣶⡞⢺⡏⣉⣉⣉⠉⣄⢉⣩⡿⣿⣆⡀⢐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠛⠉⠉⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⡿⣷⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣿⣿⠒⣾⣶⣴⣶⣶⣿⣄⣼⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣏⡿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣰⣆⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀ ⢿⣿⣛⣾⣿⣿⣿⣿⣿⠿⠿⡿⣟⣿⣿⢿⣿⣟⣛⣻⣩⣙⠫⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠗⣿⣿⣆⠀⣠⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀ ⠛⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠈⠅⠒⠚⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡟⠀⠈⣉⣭⡉⢛⠛⠛⠉⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣷⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⣰⣿⣿⣿⣿⣯⣟⢷⣶⡄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢰⢛⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠠⡄⠀⠠⢐⠀⠘⠃⢰⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⢘⡛⠐⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⡈⡉⡊⠀⢀⣈⢀⣤⡀⣼⣿⢿⣾⢠⠅⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡛⠛⠊⣿⣿⣿⣯⣄⣽⣿⣻⣦⣒⣛⣻⣿⡟ ⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⣤⣰⣬⣵⣢⣞⣻⡿⢿⣾⠉⢰⣿⣟⣹⣯⣼⣻⣤⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⢤⣤⣤⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⣉⠓⠢⢐⣶⣖⣾⣿⠋⡉⣉⡩⠽⠛⢉⠉⢁⣾⡇⡖⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣠⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⢠⣣⣈⠉⣪⡉⠉⠉⡉⠀⠁⡀⣀⠴⠊⠝⣺⣉⣿⠁⠀⣿⣿⣿⢿⣿⣿⣿⢿⣿⣿⡿⠿⡿⣿⢿⠿⣿⢿⢿⣿⣿⣿⣿⣿⠇⢸⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠾⣿⣿⣿⣿⣿ ⣴⣶⣶⣶⣶⣶⣶⣶⣶⣦⣰⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠶⣒⣶⣶⣶⣶⣶⣶⠶⠖⠂⠀⠀⠀⠀⠀⠀⠀⢀⣂⠤⠴⠒⠂⠀⠀⠀⠀⠐⠒⢰⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣛⣉⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠉⠉⣛⣀⢀⣠⡤⣶⣶⡤⠖⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⣼⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀ ⢻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⢉⣤⣼⢋⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⠫⣅⣠⣤⠴⣟⠨⢒⣃⣯⣽⣷⣿⢛⣷⣶⡄⠀⠀⠀⢀⣀⣀⣠⣤⣤⣴⠾⡇⠈⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣟⡻⢃⣮⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣯⣭⣲⣭⣶⣿⣿⣿⡿⠻⠿⠿⠛⠛⠋⠨⣿⣶⣾⣿⣿⣿⣿⣿⣿⠋⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣠⣤⣶⣶⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠙⢉⣿⣿⣿⣿⣿⣿⣿⠀⠀⡇⣾⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⢰⡟⠯⢠⣿⠿⠟⠛⠁⠀ ⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣦⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠋⢙⣿⣿⣿⣿⠀⠀⡇⢹⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠓⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠙⠀⣿⣷⣤⠀⢀⡀⢀⠴⠻⣄⠀⠀⠀⠀⠉⠈⠛⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠗⠀⢀⣤⣦⣤⡄⠰⠀⠀⠀ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣟⡻⠝⣛⣬⣵⠀⠀⠀⠀⣿⣿⠀⠀⠿⠐⠀⠠⢑⡙⠦⡀⠀⠀⠀⠀⠀⠀⠀⡇⠈⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⢿⠾⣿⣿⣧⠀⢰⡀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣽⣷⣿⣻⢆⣿⣿⣿⣿⠿⠛⠛⠋⠽⠒⢛⣡⣤⣿⣿⣿⣯⣤⣤⣤⢠⣿⡷⢶⡆⣶⢰⡶⠆⠒⠀⢈⣤⠀⠀⠸⣧⠀⠀⢰⢣⡅⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣦⣤⣭⣶⣷⣾⣶⣾⣿⡟ ⢸⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠋⠁⠀⠀⠀⠀⡀⢠⣴⣾⣿⣿⣯⣿⡏⣿⠀⣿⡄⢠⢻⣇⢸⣿⣿⢸⣿⡃⠀⠀⠀⠉⢰⣶⣶⣿⣬⣀⣼⡾⠤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇ ⠈⠹⢿⡟⣉⠀⣽⢼⣿⣿⣿⣦⣀⠀⠀⠁⠀⠀⠀⠀⣾⣵⣾⣿⣿⣿⣿⣿⣿⡧⠿⠶⠿⢧⠇⠘⠛⠘⣻⣿⣿⣿⡿⠆⡰⠶⠾⣿⢾⣿⣿⣟⣿⡻⠄⠀⢠⡄⠀⢠⠀⠀⠀⠀⠀⠀⠀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿ ⠀⠀⣾⣿⣶⠶⠿⠿⠿⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣟⣛⣿⡇⣠⣤⡄⣮⣤⠀⣴⡆⣿⣿⣦⣾⣷⡾⣿⡟⣿⣿⣿⣿⣾⣿⣛⣿⠠⢄⠀⢉⣀⣨⣤⣤⣶⣶⣾⣿⣿⣿⣿⣿⡿⠿⠿⠟⠛⠒⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⠧⣿⣿⣿⣿⣿⡿⣿⡛⣿⣿⠀⣿⣾⣯⣿⡷⢸⢿⡇⣿⣸⣧⣽⢿⡆⣿⡇⢻⡏⣿⣰⡞⣿⣽⣿⣶⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣝⣷⣿⣷⣿⣿⣿⣿⣿⣧⣿⣷⠀⠻⠿⢟⣿⡷⠿⠿⠛⠙⠛⠃⠙⠛⢁⣈⣡⣬⣥⣾⣿⣿⡿⠿⠿⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⣀⣨⣛⣆⡀⠀⣀⣀⠀⠀⠈⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠷⢟⣃⣀⣼⣯⣤⣤⣤⣤⣤⡶⣾⡿⠿⠛⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⣠⣶⣤⣄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣤⣶⠖⢿⠛⠋⣉⡙⢃⡈⠉⣹⣿⣷⡂⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠛⠉⠉⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡧⠲⣿⣦⣤⣵⣾⣯⣁⣾⣿⣴⣯⣿⣷⣿⣿⣿⣿⣿⣿⣿⣻⡻⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡇⣶⡄⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀ ⢿⠿⣯⣾⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣛⣯⣉⠈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣷⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀ ⠻⠛⠛⠛⠉⠉⠁⠀⠀⠀⠈⠉⠔⠖⠒⠚⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡏⠀⠉⣉⡍⠛⠛⠛⠛⠉⠁⢸⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣦⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢀⣴⣿⣿⣿⣿⣿⡿⣴⣤⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⢲⠒⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢄⢤⡀⠀⠐⡆⠀⠛⠀⣼⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⠘⠋⠂⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⢉⢚⠀⠀⠀⣁⢀⣀⢀⣿⣿⣿⡇⣨⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠿⠗⠹⣿⣿⣿⣯⣄⣽⣿⣻⣦⣒⣛⣻⣿⡟ ⢸⡗⠀⠀⠀⠀⠀⠀⠀⢠⣄⣐⣛⡶⠤⠼⣿⢿⣷⡟⠋⣸⣿⣕⣿⣃⣛⣓⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢘⡛⠲⠀⣲⣶⡶⣶⡶⢛⠛⣛⣛⠻⠛⠉⠙⣡⣾⢡⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⣠⣴⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⢘⣉⡍⠉⣺⡉⡉⢉⠁⠈⠀⠤⢲⠴⠾⠓⣗⣻⡟⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⠀⣾⣿⣿⣿⣿⣿⣿⣿⡿⡿⢿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠾⣿⣿⣿⣿⣿ ⣶⣶⣶⣶⣶⣶⣶⣶⣶⣆⣰⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡶⣶⣶⣶⡶⣶⣦⣶⣶⣶⣶⣶⡶⠖⠂⠀⠀⠀⠀⠀⠀⢄⣀⡤⠶⠒⠂⠀⠀⠀⠀⠀⢐⢐⣰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣛⣉⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠛⢛⣀⣀⣤⡴⣶⣶⠖⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⢉⣠⣼⢛⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⣉⣀⣠⡤⢌⠬⢭⣹⣧⣿⣷⡛⣻⣶⣶⣤⡀⠀⠀⢀⣀⣠⣤⣤⣶⡶⢸⠁⠙⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⢃⣼⣿⣿⣯⣶⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣫⢉⣐⣬⣵⣾⣿⢫⣿⠿⠿⠟⠻⠟⠉⡿⣿⣾⣶⣿⣿⣿⣿⣿⡿⠀⢸⣢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣴⣦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣱⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣟⣯⣿⣾⣿⣿⣿⣾⣿⣿⠘⠃⠀⠀⠀⠀⠀⠀⠀⠻⢻⣿⣿⣿⣿⣿⣿⣇⠀⢸⠃⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⢰⡾⠟⢐⣿⡿⠿⠛⠀⠀ ⣿⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣄⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠋⡿⠿⠿⠿⠟⠒⢸⡧⣽⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠧⠘⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠑⢸⣿⣶⣄⠀⣀⡀⠀⠞⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠐⠳⠶⠀⢄⣠⣄⣠⡀⠲⠀⠀⠁ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⡻⠯⢛⣨⣥⠀⠀⠀⢸⣿⡏⠀⠸⡇⡀⠁⠈⠂⡳⣦⣤⠀⠈⢻⣿⡇⠀⢠⢧⢏⠍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢻⣿⣿⣿⣕⠁⢠⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣿⣻⢇⣿⣿⣿⣿⠿⠟⠛⠛⠽⠶⠟⣡⣤⣿⣿⣿⣧⣤⣤⣤⢸⣿⡷⢶⡆⣶⢰⡶⠆⠓⠐⣉⣤⠀⠀⠹⠿⡇⠀⢸⢘⢂⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣦⣤⣭⣵⣿⣾⣶⣶⣶⡗ ⢸⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⡿⠿⠛⠋⠁⠀⠈⠁⠀⡀⢠⣴⣾⣿⣿⣏⣿⡏⣿⠄⣿⡄⡨⢸⡇⢸⣿⣿⢸⣿⡃⠀⠀⠈⠃⢰⣲⣦⣤⣤⣀⣾⡯⠭⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇ ⠈⠚⣻⡟⢉⠁⣵⣽⣿⣿⣿⣦⡀⠀⠈⠀⠀⠀⠀⠀⣾⣵⣼⣿⣿⣿⣿⣿⣿⡇⠿⠶⠿⢷⠃⠘⠛⠘⣻⣿⣿⣿⣿⠤⠤⡲⢶⢽⣽⣿⣿⣞⣿⣿⠌⠄⢠⡄⠠⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿ ⠀⠀⣿⣿⣶⡶⠿⠿⠿⠟⠛⠛⠃⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⢿⣏⣿⠇⣠⣤⡄⣧⣤⠀⣴⡆⣿⣿⣯⣾⣷⡾⣿⡟⣿⣷⣿⣿⣿⣿⣋⡿⣦⣄⠀⠁⣈⣀⣠⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⠿⠿⠟⠯⠙⠁⠁ ⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⠧⣿⣿⣿⣿⣿⡿⣿⡚⣿⣽⠀⣿⣾⣯⣿⡷⣾⣿⡇⣿⣸⣧⣽⢿⡆⣿⡇⢻⡟⣿⣲⡞⣿⣽⣿⣶⣾⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣝⣷⣿⣷⣿⣿⣿⣷⣿⣧⣿⣷⠀⠻⠿⢟⣿⣿⠾⠾⠛⠙⠛⠋⠙⠛⠁⣈⣁⣨⣥⣾⣿⣿⣿⡿⠿⠿⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⣀⣸⣷⣂⡀⠀⣀⣀⠀⠀⠈⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠷⠮⣂⣀⣼⣏⣀⣀⣠⣤⣤⣴⣶⣶⣿⠿⠟⠛⠛⠋⠉⠁⠀⠀⠀⠀⢀⣠⣤⣴⣊⢁⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣠⣴⠶⣿⠛⠛⡛⡛⢋⡉⠛⣹⣿⣕⡀⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠟⠛⠋⡋⠁⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣄⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣿⡧⢲⣧⣌⣬⣵⣾⣏⣁⣿⣿⣬⣭⣿⣶⣿⣿⣿⣿⣿⡿⣿⣻⣯⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡿⣿⣿⣿⣷⣽⣿⣿⡇⣶⡀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀ ⢿⠿⢏⣚⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⠿⢿⡟⢛⢋⣉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣷⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀ ⠿⠿⠛⠛⠉⠉⠉⠁⠀⠈⡀⠉⠉⠯⠔⠒⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡏⠀⠛⢛⠛⢛⠿⠟⠛⠋⠁⢸⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣠⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⣴⣾⣿⣿⣿⣿⢾⣤⣄⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠶⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⣀⠀⠀⠒⠔⠀⠞⠀⣾⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⢿⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⠘⠇⠆⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠃⠚⠀⠀⠀⢃⢀⣀⢠⣿⣿⣿⡇⣀⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡳⠿⠦⠻⣿⣿⣿⣯⣌⣼⣿⣻⣦⣒⣛⣻⣿⡿ ⢸⠦⠄⠀⠀⠀⠀⠀⠀⢀⡄⣔⣋⡖⠬⠴⣿⣿⣦⡟⠃⣾⣿⣕⣿⣃⣛⣜⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠘⠳⠂⠀⣠⣤⠴⣶⡶⠚⠛⡛⡛⡿⠛⡉⠛⣰⣾⢠⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⠀⠀⣠⣴⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣾⣶⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⢸⣀⣈⠀⣺⠉⡋⢉⠁⠈⠀⠁⢶⠶⢺⠳⣞⣻⡏⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠾⣿⣿⣿⣿⣿ ⣶⣶⣶⣶⣶⣶⣶⣶⣶⡒⢰⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣤⣦⣤⣤⣶⣶⣶⣶⣶⡶⠶⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠴⠖⠂⠐⠲⠶⡆⢰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣟⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⣫⣿⣿⣷⣿⣿⣿⣵⣿⣿⣿⣿⠿⠟⢿⠧⠀⢀⣀⣠⣬⣄⣀⣠⠤⠖⠋⠉⠀⠀⠀⠀⠀⠀⠀⢸⡆⣺⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⢉⣹⠶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⢍⡀⣀⣀⠲⡂⢽⣋⣿⣴⠿⢟⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣼⡗⢻⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠀ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣧⠆⣐⣾⣿⣗⣬⣿⣿⣿⣿⣿⣿⣿⣯⣁⣴⣶⠟⡟⠌⣕⣮⣵⣾⣿⣿⠿⢿⡿⠿⠟⠛⣿⣷⣀⣤⣤⣶⣶⣿⣿⣿⠏⢀⣇⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣷⢇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣻⣭⣿⣿⣿⡿⣿⣿⣿⣾⣿⣿⣽⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠘⠿⢿⣿⣿⣿⣿⣿⣿⣿⠿⠀⡏⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⢠⣴⡶⠨⣿⣿⣿⠿⠀⠀ ⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠻⠛⢿⠿⠿⠿⠂⠀⠀⡇⢿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣏⠸⠗⠃⠉⠉⠁⠀⠀⠀⠀ ⣻⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠀⣿⣤⡀⠀⠀⡀⢀⠴⣦⡀⠀⠀⠀⠀⣀⣤⣴⠀⠀⡇⠉⠇⠀⠀⠀⠀⠀⠀⠀⠀⠠⢦⣤⠀⡀⢀⡀⢀⠀⢄⠀⠀⠂ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣛⠿⢝⣂⠀⠀⠀⢰⣿⠛⠉⢸⠗⠀⠁⠐⠈⢯⣤⣀⣠⣽⣿⣿⣿⠀⠀⡇⡅⡄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢾⣿⣿⣿⡢⠂⢀⠀⠁ ⢹⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⣿⣿⡏⣿⣿⣿⣿⣿⡿⠿⠿⣻⣭⡷⢋⣡⣤⣾⣿⣯⣤⣤⣤⢸⣿⡶⢶⡆⣶⢰⡾⠆⠈⠀⢋⣍⠋⠁⢻⣿⡷⠀⢸⠻⠜⡝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡄⢈⣛⣫⣿⣽⣤⣬⣤⡦ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠿⠟⠋⠉⠐⠂⠀⠀⢀⣠⣴⣿⣿⡿⣿⡏⣿⡀⣿⡄⢰⢸⡇⢸⣿⣿⢸⣿⡃⠀⠀⠙⠇⢠⣤⣀⣀⡀⠀⣸⣘⡇⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧ ⠘⠻⢿⡿⠛⠋⣻⢻⣿⣿⣿⣍⠁⠀⠐⠠⠀⠀⠀⠀⣴⣣⣼⣿⣿⣿⣿⣿⣿⡧⠿⠶⠿⢇⡎⠘⠛⠘⢛⣛⣿⣿⣷⡀⠀⠄⠤⢺⣻⣿⣿⣹⡿⣿⡁⡉⡉⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⣿⣷⣤⣤⣿⣿⣿⡿⠿⠿⠇⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⠿⣟⣿⡇⣠⣤⡄⣬⣤⠀⢰⡆⣿⣿⣯⣿⣷⡾⣿⡟⣿⣷⣿⣿⣿⣿⡛⣟⣄⡀⠈⠇⠐⠁⢀⣀⣀⣤⣤⣶⣶⣿⣿⣿⣿⢿⣿⣿⠟⠿⠉⠃ ⠀⠀⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠧⣿⣿⣿⣿⣿⡿⣿⡴⣿⣿⠀⣿⣾⣿⣿⡷⢰⢾⡇⣿⢸⣇⣿⢿⡆⣿⡇⢿⡟⣿⣰⡞⣿⣽⣷⣭⣵⣶⣶⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠚⠉⠁⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣝⣷⣿⣿⣿⣿⣿⣷⣿⣧⣿⣷⠀⠻⠿⢟⣿⣷⣽⡾⠷⠟⠛⠋⠙⠛⠁⠈⠁⢈⣁⣬⣽⣶⣿⣿⣿⣿⠿⠿⠟⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣦⠄⠀⠀⠀⠀⠀⠀⠈⠉⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⠂⠀⣸⠟⠉⠀⠀⣀⣀⣠⣤⣤⣶⣶⡾⠿⠿⠟⠛⠛⠉⠉⠉⠀⠀⢀⣀⣀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣠⣤⣶⠿⠿⠿⠿⠟⠓⠶⢻⣯⡢⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⡿⢿⠟⠛⠛⠙⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣿⣿⣿⣿⣶⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣿⣏⢠⣏⡐⣐⣊⣵⡚⠃⣶⣿⣙⣛⣷⣤⣿⣿⣿⣿⣿⣿⣿⠿⣿⠿⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⣄⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀ ⣾⣿⣗⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠿⠛⠓⠒⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣱⣿⣇⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀ ⣾⣶⠾⠿⠟⠛⠛⠋⠉⠙⠛⠙⣋⣋⡿⠯⠿⠷⠒⠚⠚⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡟⠉⠿⠿⠿⢿⣿⡿⠿⠟⠋⢻⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⢀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⣠⣶⣾⣶⣴⣶⣤⣀⡀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠠⣤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⡠⢀⡤⠀⣼⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣾⣿⣿⣿⣿⣿⣿⣾⣿⣿⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⠰⡆⡄⠀⠀⠀⠈⠀⠀⠀⣀⠀⠘⠥⠿⠄⠀⠀⠂⠀⠀⢐⣿⣿⣿⡇⡀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣶⣄⢿⣿⣿⣿⣯⣄⣼⣿⣻⣦⣒⣛⣻⣿⡿ ⢰⡄⡀⠀⠀⠀⠀⠀⠀⠀⡀⡤⠆⡤⣐⣤⣶⣶⣄⡾⠏⣼⣿⡫⣿⠃⢷⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⠤⣄⠀⢀⣀⣠⣤⣤⠼⠷⠿⠿⣶⠶⠒⠿⢩⣿⢁⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⠀⠀⢀⣠⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣤⣤⣄⢿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⢰⠀⣀⠀⢼⠉⠐⠛⠃⠀⠀⠃⠥⣥⠴⢦⡴⢿⡏⠌⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⠿⠾⣿⣿⣿⣿⣿ ⣴⣶⣶⣶⣶⣶⣶⣶⣶⡶⢲⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣀⣂⠠⣄⣠⣶⣶⣶⣶⣶⣶⠶⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣶⡆⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⣻⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣟⣫⣽⣿⣿⣿⣿⡿⣿⣋⠉⠀⠀⣀⣠⣤⡄⠀⠀⠀⣀⡠⠤⠒⠚⠉⠀⠀⠉⠙⡓⢘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⣛⣭⣥⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠁⠠⡄⠁⢠⣰⣻⣿⣽⡿⢿⣤⣚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⠀⠐⠀ ⣽⣿⣿⣿⣿⣿⣿⣿⣿⣟⡉⢠⣴⣶⡏⣰⣿⣿⣿⣿⣿⣿⣿⡟⠻⣉⣠⣤⡒⢂⡛⢍⣪⣼⣮⣸⡿⠿⣷⡾⠿⠿⣿⣿⣄⠀⠀⠀⡀⣠⣶⣶⣿⠆⡏⠨⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣭⡏⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⢿⣶⣤⣷⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠈⢻⣿⣶⣾⣿⣾⣿⣿⠟⠉⠀⡇⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⢰⣶⣾⣿⣷⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⡇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠩⠿⠟⠰⣿⠟⠛⢀⠀⠀⡇⢸⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡇⢹⣿⠃⠾⠛⠛⠉⠀⠀⠀ ⢿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣼⣧⡄⠀⠀⠀⠀⡠⣤⡀⠀⠀⠀⠀⢀⣴⣿⠀⠀⡇⠼⡟⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⡁⠀⠀⠀⠀⠀⠀⡀⠀⠀⡤ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡛⠏⠉⠀⠀⠀⣿⠻⠟⢰⡮⠉⠂⠐⠌⢿⣀⡀⠀⣾⣿⣿⣿⠀⠀⡇⡄⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⢀⣴⣾⣶⣶⠀⡂⠀⠀⠂ ⢻⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣟⣿⢍⣂⣩⣥⣶⣧⣤⣤⣤⢠⣷⡶⢶⡆⣶⢰⡾⠆⠦⠛⢿⣟⡿⠟⢿⣿⣿⠀⢠⢧⠣⢥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⢻⡿⢿⡿⢎⠀⣰⣀⣀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣵⣿⣿⠿⠛⠉⠉⠉⠀⠉⠉⣥⣾⣿⣿⣿⡏⣿⡀⣿⡄⢀⢸⡇⢸⣿⣿⢸⣿⡃⠀⠀⠲⡿⢁⡀⠘⢻⣿⠀⢸⢨⣅⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣶⣶⣾⣿⣿⣿⣿⣿⣿⡇ ⢸⢿⣿⣿⠿⢟⣟⢿⣿⣿⣿⠛⠋⠉⠀⡀⠀⠀⠀⠀⣠⠄⣴⣿⣿⣿⣿⣷⣿⡧⠿⠶⠿⠇⡼⠸⠛⠘⠛⠛⣛⣛⣃⠀⠀⠀⣀⣼⢿⣿⣷⣾⣦⣿⠗⠦⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧ ⠀⠀⣿⣭⠄⣐⣗⣿⣿⣿⣿⣷⡆⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣠⣤⡄⣴⣥⠀⢰⡆⣶⣾⣿⣿⣿⡼⣿⡟⣿⣷⣿⣿⣿⣿⣫⣻⠁⠂⠢⡈⠠⠆⠀⠀⠀⠀⣀⣀⣠⣼⣿⣿⣿⣿⣿⣿⡿⠿⣿⠛ ⠀⠀⠿⠟⠛⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⢾⣿⠧⣿⣿⣿⣿⣿⡿⣿⣀⣿⣿⠀⣿⣾⣧⣿⡶⣠⣼⣇⣿⢸⣧⣿⢿⡆⣿⡇⣿⣟⣿⣰⣎⣿⣥⡗⣷⣤⣀⣥⣤⣷⣶⣾⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⠚⠛⠁⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣝⣷⣿⣿⣿⣿⣿⣿⣿⣧⣿⣷⠀⠻⠿⢟⣿⣇⣻⣿⣯⣽⠿⠿⠛⠛⠉⠉⠁⠈⠁⢈⣩⣤⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡮⠀⠀⣾⡿⠛⠉⠉⠀⠀⠀⣀⣀⣠⣤⣤⣶⣶⣿⡿⠿⠿⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣀⣤⣤⣤⣯⣿⡶⢤⣤⣴⣆⡀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣨⣭⣤⣶⣷⣶⣶⡶⠶⠾⠿⠛⠛⠛⠙⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣾⠏⠙⡏⠀⠠⠤⣄⠶⠀⣤⣿⠿⢯⣄⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠋⠉⠁⠈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣶⣶⡀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀ ⣽⣿⡏⣹⣿⣶⣿⣿⣿⣶⣴⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⢿⢽⠿⠏⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢱⣿⡀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀ ⣹⣭⣷⣿⣿⠿⠿⠿⠟⠛⢿⡿⠿⠿⣿⣟⣿⣭⣽⠹⠤⠄⠂⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⠻⣿⣿⣿⣿⣿⣿⣿⣿⠏⣿⣿⣷⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠉⠁⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠀⢀⣠⣴⣄⣌⣉⡉⠁⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣼⣿⣾⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡗⣰⣿⣿⣿⣿⣷⣿⣹⣿⢧⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⢨⡇⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⢰⣂⣖⠀⠐⢈⠀⠈⠁⢠⣿⣿⣿⡇⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣅⠸⣿⣿⣿⣿⣯⣌⣽⣿⣻⣦⣒⣛⣻⣿⡿ ⢠⠈⠁⠀⠀⠀⠀⠀⠀⠀⠂⢀⡀⢀⠅⣀⡀⣀⠠⣴⡆⣼⣿⣛⣿⢀⣆⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡍⠉⠁⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⡉⠀⠀⠀⠀⠀⢀⣀⣶⣦⣷⣾⣥⣿⣯⣟⢛⣿⠁⢀⣿⣿⣭⣿⣬⣭⣥⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⡉⢿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⢠⣉⣀⠀⣴⡉⠹⢟⠋⡁⠠⠤⠂⠋⣡⣀⢡⣾⡏⠾⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡌⣿⣿⣿⣿⣿⠿⠾⣿⣿⣿⣿⣿ ⢶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢶⠆⠀⠲⣒⣒⣲⣶⣶⣶⣶⣶⣶⠶⠖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣧⠾⣦⣬⣷⣿⣿⣿⣿⡿⠟⠋⠉⠀⠀⢀⣠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⡿⠿⣛⣉⣼⣿⣿⣾⣿⣿⣷⣿⣿⣿⣿⠿⠛⠛⠻⠆⠀⠀⠀⢠⣿⣿⣾⣿⠷⡀⢀⣀⠤⠴⠒⠋⠁⠀⠀⠉⢙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⣉⣤⡞⣻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠉⣀⣀⡦⠄⠤⣊⠂⠀⣀⣿⠿⠛⠛⠿⠿⢿⣯⡀⠀⠀⠀⣠⣿⣷⣶⠆⢸⢠⣫⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⢿⡗⢠⣨⣿⣿⣵⣾⣿⣿⣿⣿⣿⡿⣿⣧⣥⣾⣞⣙⢁⣐⣬⣷⣾⣿⣷⠀⣿⠁⠀⠀⠀⠀⠀⠈⠹⣿⠀⠀⣾⣿⡿⠋⠀⡠⣾⠀⠩⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⡀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣟⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣮⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠃⢿⠿⠁⠀⡞⠀⣸⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⣶⢾⢃⣺⣿⡿⠿⠃⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⣿⣿⡄⠀⠀⡀⢀⣤⣤⠀⠀⠀⠀⠀⣰⣾⡇⠀⡿⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠄⠛⠃⠀⠁⠀⠀⠀⠀⠀⠀ ⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠻⢿⢸⠀⠟⠓⣶⣿⠖⢍⡺⣿⣧⡀⠀⣠⣾⣿⣿⡇⠀⡇⠈⠛⠀⠀⠀⠀⠀⠀⠀⠀⠒⢶⠄⠀⢀⣤⣀⡀⠀⠄⠀⢐⡁ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣻⣭⣭⣬⣤⣤⣤⣤⠠⣶⡶⢶⡆⣶⢲⡾⢇⠿⠿⣿⣿⣿⣿⣿⣿⣿⠁⠀⡇⡆⡈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⣿⣿⣿⣿⠈⠀⡄⠀⠄ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣿⣿⢸⣿⣿⣿⣿⠿⠟⠛⠫⠽⠶⢋⣍⣿⣯⣿⡏⣿⠀⣿⡄⠀⢸⡇⢸⣿⣿⢸⣿⣃⠶⠾⣶⣯⠉⠀⢹⣿⣿⠀⢰⢳⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣀⣘⣭⣿⣭⣷⣴⣷⣶⡖ ⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⠿⠟⠛⠋⠁⠀⠁⠀⢀⠀⣤⣴⣿⣿⣿⣧⣿⡇⠿⡶⡿⠇⠀⡾⠛⠘⠛⠛⠛⠛⠃⠀⠀⠈⠉⢰⣦⣤⣘⣛⡀⣼⣸⡣⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇ ⠘⠸⣿⠟⡉⢨⣏⣿⣿⣿⣷⣄⠀⠀⠀⠂⠀⠀⠀⢠⣯⣴⣿⣿⣿⣿⣿⣿⣿⠇⣠⣤⡄⣤⣼⠁⢰⡆⣶⣶⣶⣶⣶⡴⣿⡿⣿⣿⣿⣿⣿⣿⣻⣏⠉⡙⠒⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿ ⠀⢸⣿⣿⣴⡾⠿⠿⠿⠟⠛⠛⠀⠀⠀⠀⣾⣿⠧⣿⣿⣿⣿⣿⡿⣿⠉⣿⣿⠀⣿⣾⣧⣿⡷⣤⢼⣇⣿⢻⣿⣿⢿⡆⣿⣇⣿⣟⣿⣰⡞⣿⣽⡇⣀⠁⠐⣄⢀⣁⣀⣤⣤⣴⣶⣾⣿⣿⣿⣿⣿⣟⠿⡿⠏⠟⠃⠀ ⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣝⣿⣿⣿⣿⣿⣿⣷⣿⣧⣿⣷⠀⠻⠿⠟⣿⠇⣿⠿⢿⣛⣻⣯⣿⠿⠷⠿⠛⠛⠛⠛⠛⢛⣻⣿⣧⣶⣶⣾⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠓⠉⠁⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⢗⡿⠆⠀⣸⣿⠾⠿⠛⠛⠉⠉⠁⠀⠀⠀⣀⣀⣤⣴⣶⣿⣿⣿⣿⠿⠿⠟⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⢀⣀⢿⣒⣀⠀⠀⣀⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠾⠿⢀⣀⣟⣁⣀⣀⣀⣤⣤⣴⣶⣾⠿⠿⠿⠟⠛⠋⠉⠉⠀⠀⠀⠀⣀⣠⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣠⡶⢾⡟⠛⠛⡛⠛⣉⠙⢛⣿⣯⡂⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠻⠋⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣯⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀ ⢻⣿⠅⣼⣤⣠⣬⣤⣾⣉⣰⣾⣇⣭⣽⣷⣾⣿⣿⣿⣿⣿⡿⣛⡿⡟⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⢠⡄⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀ ⠿⠿⣔⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⡟⢛⠉⡉⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣿⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠿⠛⠛⠉⠉⠉⠉⠀⠀⠈⠉⠭⠥⠶⠚⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠃⠙⠛⢛⠛⠿⠿⠟⠛⠛⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣇⣤⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⢀⣴⣿⣿⣷⣷⣶⣆⣤⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⠰⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⡀⠀⠀⠠⠀⠴⠆⢰⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣿⣿⣿⣿⣿⣿⣿⣾⣿⣷⠀⢻⣿⣿⣿⣿⣯⣄⣼⣿⣻⣦⣒⣛⣻⣿⡿ ⠸⠠⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠐⠚⠗⠀⠀⠘⠀⣀⡀⣼⣿⣿⣿⢀⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠾⠷⠜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢰⠀⠀⠀⠀⠀⠀⠀⠀⣀⢰⣒⣰⢢⣵⣶⣶⣦⣼⠛⢠⣿⡿⢾⡏⠸⠧⡇⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠘⠻⢿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⠀⠈⠀⠀⣠⡀⢤⣖⠒⠋⠙⢛⢻⡿⠛⠙⠇⣾⡏⠄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⣠⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣄⠈⣿⣿⣿⣿⣿⠿⡾⣿⣿⣿⣿⣿ ⢶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠀⠐⣶⠶⢶⣶⣶⣶⣶⣶⣶⣶⡶⠶⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣴⣤⣰⣵⣿⣿⣿⣿⣿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⢋⣽⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⡿⠿⠻⢯⠀⠀⠀⠀⠀⠀⠀⢀⣀⣰⣶⣤⠀⠀⠀⠀⠀⡀⠀⠻⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⢋⣩⡶⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠁⣀⣀⠐⡀⠀⠀⠀⠀⠀⠀⢐⣿⠿⠿⣿⣯⣦⣤⠀⠉⠁⣀⣤⣲⡄⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀ ⣾⣿⣿⣿⣿⣿⣿⣿⢷⡶⣀⣲⣿⣟⣤⣿⣿⣿⣿⣿⣿⣿⣿⣉⣢⣶⠖⠚⠉⢅⣢⣬⣶⣿⣦⡀⠀⣴⣶⠉⠀⠀⠀⢀⡩⠛⢻⡆⠀⢾⣿⠛⠁⠀⢠⡇⠼⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣄⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣟⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣾⣿⣿⣿⣳⣿⣾⣿⣿⣿⣿⣿⣿⣿⠀⠐⠟⢃⣀⠀⠀⠀⠀⠀⠀⠀⠁⠠⠏⠁⠀⠀⡴⢺⡀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⢠⣤⣶⠀⣿⣿⣿⡿⠆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠁⢸⢲⣾⠛⠁⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⢠⡼⠁⢸⢀⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠸⠷⠃⠈⠉⠉⠀⠀⠀⠀⠀ ⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢿⣷⡆⡞⠸⠟⠠⢀⣾⣿⣿⣿⣿⣧⡀⠀⢀⣤⣿⡇⠀⢸⠘⣿⠂⠀⠀⠀⠀⠀⠀⠀⠤⣤⡀⢀⠀⡀⠀⠀⢠⠀⠀⠐⠂ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣟⣻⣭⣥⣤⣤⣤⣤⠠⣶⡷⢶⡆⣶⢿⡿⢿⣿⣿⣿⣿⣿⣦⣾⠫⠛⡇⠀⣾⠀⠩⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣴⣿⣿⣿⡇⠈⠀⠀⠀⡄ ⢸⣿⣿⣿⣿⣿⣿⣿⣻⣿⣽⡿⣯⢹⣿⣿⣿⣿⡿⠿⠿⢟⣯⡽⢞⣉⣿⣯⣿⡏⣿⠀⣿⡀⠀⢸⡇⢸⣿⣿⢸⣿⣿⠿⠟⠛⢛⣛⡛⠋⠀⠁⠁⢀⢏⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠠⡤⠈⣻⣚⣝⣻⣤⣬⣥⣴⡦ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠿⠟⠛⠉⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣧⣿⡇⢿⠶⠿⠇⠀⣼⠟⠘⠛⠛⠛⠛⠃⠀⠀⠘⠉⢫⢅⣀⠀⣀⡀⡼⢈⡅⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇ ⠘⢱⣿⠟⠋⣛⣝⣿⣿⣿⣯⡁⠀⠀⠂⠀⠀⠀⠀⢰⣊⣴⣿⣿⣿⣿⣿⣿⣿⠇⣢⣭⡄⣤⣤⠏⢰⡆⣶⣶⣦⣶⣶⡴⣾⡟⣿⣿⣿⣿⣿⣿⣷⡟⠓⠦⣄⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢸⣿⣭⣤⣿⣿⣿⠿⠿⠿⠛⠀⠀⠀⠀⣾⣿⠧⣿⣿⣷⣿⣿⡿⣿⠈⣿⣭⠀⣿⣾⣧⣿⡷⣀⣸⣇⣿⣿⣷⣿⢿⡆⣿⡇⣿⣿⣿⣿⣿⣿⣯⡉⠀⠂⢤⠄⠛⠀⣀⣀⣠⣤⣤⣶⣾⣿⣿⣿⣿⢿⣿⠛⠿⠟⠉⠃ ⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣝⣿⣿⣿⣿⣿⣿⣷⣿⣧⣿⣷⢀⡻⠿⠿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⠿⠿⠟⠛⠿⠿⠿⠿⣿⣿⣬⣭⣤⣶⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣲⣿⠇⠀⣾⣿⣿⡿⠟⠛⠛⠉⠉⠀⠀⠀⠀⣀⣀⣤⣴⣶⣿⣿⣿⣿⡿⠿⠿⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡶⠄⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣟⣋⣀⣀⣀⣀⣤⣴⣶⣶⣾⡿⠿⠿⠛⠛⠛⠉⠉⠉⠁⠀⠀⣀⣀⡀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣠⣤⣶⠿⠿⠟⠻⠟⠑⠒⢛⣿⣠⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⡿⠿⠿⠻⠛⠉⠉⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣶⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀ ⢿⣿⢤⣼⣀⣀⣪⣭⣞⠃⢠⣿⣏⣛⣷⣦⣼⣿⣿⣿⣿⣿⡿⠿⣿⠻⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣝⣿⣿⣧⢀⡀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀ ⢿⣷⠴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠓⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⣿⣷⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢶⠾⠿⠟⠛⠋⠉⠉⠉⠉⠓⢛⣙⡭⠯⠷⠶⠒⠒⠓⠋⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⠋⠻⠿⠿⠿⣿⣿⠿⠿⠛⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣄⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⢀⣤⣶⣷⣶⣦⣤⣀⣀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⢠⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⡀⠀⣤⠄⢰⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣱⣿⣿⣿⣿⣿⣿⣷⣿⣿⣆⠀⣿⣿⣿⣿⣿⣯⣄⣼⣿⣻⣤⣒⣛⣻⣿⡟ ⠰⡀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠯⠼⠅⠀⠀⠄⠀⠀⠀⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣵⣦⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾ ⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⣠⣐⣠⣤⣰⣤⣼⠿⢰⣿⡏⣽⡇⠼⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠙⠿⢿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⠈⠀⠀⠀⣀⠀⣠⣄⠌⠡⠹⠿⣷⡶⠖⠿⠭⣽⡇⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣀⣀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⡀⠈⣿⣿⣿⣿⣿⠿⠾⣿⣿⣿⣿⣿ ⢶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠀⠲⣶⠶⢶⣶⣶⣶⣶⣶⣶⣶⣶⠶⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠶⣤⣹⣴⣿⣿⣿⣿⡿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⣋⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⡿⠟⠻⢯⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⣉⣠⠞⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⡀⢀⡀⠒⡀⠂⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣴⣦⡀⠀⠠⠀⠀⠀⠉⠛⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀ ⣾⣿⣿⣿⣿⣿⣿⡿⢿⠖⣀⣿⣿⣿⣤⣿⣿⣿⣿⣿⣿⡿⢿⣵⣤⣶⠾⡺⠭⣀⣢⣴⣾⣿⣦⡀⠀⠀⣀⣠⣄⠀⠈⠉⠉⠋⣿⣭⡄⠀⠀⣀⡀⠀⠀⣾⠀⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣟⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⡿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣀⠀⢸⡿⠋⠁⠀⠀⡀⠠⠒⠈⠈⠡⠀⢀⣿⡄⠀⠀⡏⠀⠩⠀⠀⠀⠀⠀⠀⠀⠀⡀⢠⣤⡤⢐⣾⣿⣿⣿⠀⠀⠀ ⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠀⣀⡀⠀⠸⠗⠈⠁⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⢀⡇⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⠸⠧⠁⠘⠛⠉⠁⠀⠀⠀⠀ ⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠻⣿⣷⡦⠀⣿⣿⡧⠀⠀⢠⣶⣶⣶⣶⣦⠀⠀⠀⠀⠀⠀⢸⠃⣿⡄⠀⠀⠀⠀⠀⠀⠠⢤⣀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠴⠆ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣟⣯⣭⣥⣤⣤⣤⣤⠩⣷⣶⢷⡖⣶⢰⡾⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⢸⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠁⢀⣴⣿⣷⣿⢆⠁⠀⠀⠀⡆ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣿⡍⣿⣿⣿⣿⣿⠿⠿⠟⢻⠭⠶⢋⣈⣿⡿⣿⡏⣿⠀⣿⡄⠀⢸⣇⢸⣿⣿⢸⣿⣿⡿⠿⠟⠛⢻⠿⠿⠆⠀⠀⠀⡏⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠉⠿⣟⣿⣳⣀⣸⣤⣬⡅ ⢸⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣷⠾⠟⠛⠋⠁⠀⠀⠀⠀⢀⣠⣼⣿⣿⣿⣿⣿⡷⣿⠶⠿⠇⠀⢸⣿⣘⠛⠛⠛⠛⠃⠀⠀⠐⠙⢻⢭⣀⠀⣀⡂⣸⣀⡂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇ ⠈⢹⡟⠋⠁⣽⣹⣿⣿⣿⣥⡀⠀⠀⠂⠀⠀⠀⠀⣴⣣⣸⣿⣿⣿⣿⣿⣿⣿⠳⣪⣭⡄⣤⣤⣿⢿⡆⣶⣶⣦⣶⣶⡴⣾⡟⣿⣿⣿⣿⣿⣿⣣⡷⠓⣅⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⣾⣿⣥⣶⡿⠿⠿⠿⠟⠛⠃⠀⠀⠀⠀⣾⣿⢷⣿⣿⣿⣿⣿⡟⣿⠈⣿⣯⠀⣿⣾⣧⣿⡿⣭⣸⣇⣿⣹⣷⣿⢿⣆⣿⡇⣿⣟⣿⣸⡟⣿⣿⠉⠀⠄⡉⠀⠀⠀⢀⣀⣀⣤⣤⣴⣶⣿⣿⣿⣿⣿⢿⢿⢛⠻⠏⠅ ⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣝⣿⣿⣿⣿⣿⣿⣷⣿⣧⣿⣶⣀⡻⠿⠟⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠓⠛⠋⠛⠛⠛⠛⠛⣿⣿⣨⣥⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢩⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣾⣿⠁⢀⣿⡿⠿⠛⠏⠉⠉⠁⠀⠀⠀⠀⢀⣀⣤⣴⣶⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠶⢄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⣸⣛⣒⣂⣠⣤⣤⣤⣶⣶⣾⣿⣿⠿⠿⠟⠛⠛⠋⠉⠉⠁⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡤⠴⡿⠛⠛⠛⠛⢋⠑⠚⣻⣯⡦⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⠿⠿⠿⠟⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣷⣖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀ ⢹⡧⢤⣧⣀⣬⣭⣵⣊⢁⣿⣿⣉⣹⣷⣤⣿⣿⣿⣿⣿⣿⣿⠿⡟⠟⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣻⣿⣿⡇⣀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀ ⠾⢧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠓⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⢧⣿⣆⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠺⠟⠛⠛⠋⠉⠉⠉⠀⠉⠈⢉⡩⠽⠽⠷⠓⠓⠊⠈⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠙⠿⠿⠿⣿⣿⣿⡿⠿⠏⢹⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠀⢀⣴⣾⣾⣠⣤⣤⢀⡀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⠀⠀⠀⠀⠀⠦⠀⣼⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣟⣴⣿⣿⣿⣿⣿⣿⣯⣿⣿⡄⢸⣿⣿⣿⣿⣿⣯⣌⣼⣿⣻⣦⣒⣛⣻⣿⡟ ⠠⠀⠀⠀⠀⠀⠀⠀⠈⣀⠀⠘⠣⠏⠀⠀⠠⠂⠀⠀⢰⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠴⢆⣄⣂⣤⣆⣶⣥⡿⠇⣾⣿⢩⣿⠡⢧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠉⠁⠈⢿⡏⢿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⠘⠀⠀⠀⣀⢀⣠⡄⠍⠈⠹⢿⢲⠖⠺⠯⢭⡿⠀⢠⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⢀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣤⣤⣤⣄⠀⠈⣿⣿⣿⣿⣿⠿⠾⣿⣿⣿⣿⣿ ⢶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠄⠒⣶⠶⠶⢶⣶⣶⣶⣶⣶⣶⣶⠶⠖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡴⣄⣰⣥⣾⣿⣿⣿⣿⡿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⢋⣽⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⠿⠿⣯⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⣉⣩⡶⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠋⢁⢀⣠⠶⡶⠺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠐⠐⠀ ⣾⣿⣿⣿⣿⣿⣿⣿⢿⠖⣀⣾⣿⣿⣤⣿⣿⣿⣿⣿⣿⣿⣿⣍⣤⣶⡶⡛⠭⢍⣃⣤⣶⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠓⠲⢶⣦⠀⠀⠀⠀⠀⠀⠈⣭⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣟⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⢀⣤⣶⠖⠀⠀⠀⠀⢀⠼⠻⠷⠀⠀⠀⠀⠀⠀⡏⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⢀⣶⣾⣿⣷⠀⠀⠀ ⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠟⠲⠆⢘⠛⠁⠀⢠⡄⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⢺⡟⢸⣏⠃⠰⠛⠛⠉⠁⠀⠀⠀ ⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣷⡄⠀⠀⣶⡦⠀⠀⠀⠀⣠⣤⣤⣤⣀⠠⠄⠐⠁⠀⠀⣼⢠⡄⠀⠀⠀⠀⠀⠀⢀⣈⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⡄ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣭⣥⣤⣤⣤⣬⠹⣷⡶⢶⡗⣶⢰⡾⣦⣾⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⡇⠸⣿⠀⠀⠀⠀⠀⠀⠀⠈⠋⢀⣴⣾⣷⣶⡄⠂⠀⠀⢂⡢ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣿⡏⣿⣿⣿⣿⣿⠿⠿⠿⢻⣭⡷⢚⣈⣿⣯⣿⡏⣿⠀⣿⡄⠀⢸⣇⢸⣿⣿⢸⣿⣿⣿⡿⠿⠿⠿⢿⣿⣦⠀⠀⠀⢰⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡈⠙⣿⢿⡿⢶⣀⣰⣀⣈⣇ ⢸⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣷⠾⠿⠛⠋⠉⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣷⣿⡧⣿⡶⠿⠇⠀⠘⣿⣜⡛⠛⠛⠛⠋⠀⠀⠀⠛⢻⢧⣄⣈⣀⡀⢠⢃⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠈⢹⡿⠋⠑⣽⣹⣿⣿⣿⣥⡀⠀⠀⠂⠀⠀⠀⠀⣴⣃⢸⣿⣿⣿⣿⣿⣿⣿⠻⣪⣭⡄⣤⣤⣠⢿⡏⣶⣶⣶⣾⣷⡶⣾⡟⣿⣿⣿⣿⣿⣿⣻⣟⠳⣅⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⣿⣿⣥⣶⡿⠿⠿⠿⠿⠛⠃⠀⠀⠀⠀⣾⣿⢷⣿⣿⣿⣿⣿⡟⣿⠈⣿⣯⠀⣿⣾⣧⣿⡶⣿⣸⣇⣿⣹⣷⣿⢿⡆⣿⣇⣿⣟⣿⣰⡞⣿⣽⢋⠀⠀⠑⠀⠀⠀⠀⠀⣀⣀⣠⣤⣴⣿⣿⣿⣿⣿⣿⣿⠿⣟⠛⠋ ⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣝⣿⣿⣿⣿⣿⣿⣧⣿⣧⣿⣶⣄⡻⠿⠟⣿⣧⣿⣿⣿⣽⡿⠿⡛⠛⠉⠉⠁⠈⡉⢭⠉⠙⠛⣛⣀⣦⣤⣴⣷⣶⣾⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠋⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣩⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣾⣿⠃⢀⣾⡿⠿⠟⠉⠀⣀⠀⠀⠀⠀⣀⣈⣡⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡰⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠀⢸⣋⣈⣉⣭⣥⣴⣶⣶⣾⣿⣿⣿⣿⡿⠿⠿⠟⠛⠛⠉⠉⠉⠀⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⡤⠶⡿⠛⠛⠛⠛⢋⠑⠚⣻⣯⡦⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⠿⠿⠿⠟⠛⠋⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀ ⢹⡥⢴⣧⣀⣬⣭⣵⡛⢀⣾⣿⣩⣻⣷⣤⣿⣿⣿⣿⣿⣿⠿⢿⣿⠟⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣻⣷⣷⡆⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀ ⠾⢇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠟⠛⠓⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢣⣿⡄⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠾⠟⠛⠛⠋⠉⠉⠉⠈⠙⠐⠉⣉⠭⠿⠷⠖⠒⠒⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡟⠛⢿⢿⣿⣿⣿⣿⣿⡿⠏⢹⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣦⢀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠀⢀⣤⣶⣤⣌⣡⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢀⠀⢠⡆⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣟⣴⣿⣿⣿⣿⣷⣿⣹⣿⣧⠀⢸⣿⣿⣿⣿⣿⣯⣄⣼⣿⣻⣦⣒⣛⣻⣿⡟ ⠠⠀⠀⠀⠀⠀⠀⠀⢈⡀⠀⠸⠠⠏⠀⠀⠰⠀⠀⠀⢸⣿⣿⣿⠃⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣧⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠴⢦⣄⣂⣤⣤⣦⣤⠿⠂⣿⣿⢽⣿⢰⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠉⠁⠘⣿⠏⢿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⣀⣀⣠⡄⠏⠈⠹⢷⣶⠶⠺⠏⢭⡟⠀⢰⣿⣿⣾⣿⣶⣶⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⠀⠀⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⡈⠀⠈⣿⣿⣿⣿⣿⠿⠾⣿⣿⣿⣿⣿ ⢰⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡦⠐⢶⡶⠶⣶⣶⣶⣶⣶⣶⣶⣶⡶⠖⠒⠀⠀⠀⡀⠀⠀⠂⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣴⣦⣀⣤⣾⣿⣿⣿⣿⡿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣥⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⢛⣹⣿⣿⣾⣿⣿⣯⣾⣿⣿⣿⣿⠿⠻⢿⣥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⢋⣉⡶⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⢀⣠⡖⡚⠈⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⠿⡶⢠⣸⣿⣿⣥⣿⣿⣿⣿⣿⣿⣿⢿⣏⣢⣴⣶⣛⠯⢩⣑⣬⣶⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡶⠦⠶⢶⠀⠀⠀⠀⠀⠀⠘⠛⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣾⣿⣿⢿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠿⠷⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡄⣶⣾⣿⣿⡆⠀⠀ ⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠻⠓⠆⠤⠀⢰⡿⢀⣀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠰⣿⠀⣿⠍⠐⠛⠛⠉⠁⠀⠀⠀ ⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣦⠀⠀⠀⠀⡆⠀⠈⠉⠀⢀⣀⣀⡀⠀⣀⠐⠒⠀⠀⠀⢸⠁⡀⠀⠀⠀⠀⠀⠀⣤⣁⠀⠀⠀⠀⠀⠀⢀⠀⠀⠠⠄ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣭⣭⣤⣤⣤⣤⠩⣿⣶⢶⡆⣶⢰⡾⠆⢀⣼⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⡏⠸⣧⠀⠀⠀⠀⠀⠀⠀⠉⠁⣨⣾⣷⣶⡇⠐⠀⠀⠐⡀ ⢸⣿⣿⣿⣿⣿⣿⣿⣻⣯⣽⣿⣿⢹⣿⣿⣿⣿⡿⠿⠿⢛⣯⡷⢖⣉⣿⣯⣿⡏⣿⠀⣿⡄⠀⢸⡇⢸⣿⣿⢸⣿⣣⣿⣿⣿⣿⣿⣿⣿⣧⣀⠀⠀⠀⡰⠁⠈⠉⠀⠀⠀⠀⠀⠀⠀⢀⣀⠙⠿⠿⡿⢿⣄⣀⣇⣠⣅ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⠿⠛⠛⠉⠀⠀⠀⠀⠀⣀⣤⣿⣿⣿⣧⣿⡧⣿⣶⠿⠇⠀⠘⠛⢸⣛⡛⠛⠛⢻⣟⠛⠉⠉⠉⣿⣿⣿⣟⡀⠀⡴⠁⠆⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠈⢹⡿⠋⠉⣪⣮⣿⣿⣿⣯⣀⠀⠀⠀⠀⠀⠀⠀⢰⣊⣴⣿⣿⣿⣿⣿⣿⣿⠗⣢⣭⡅⣤⣤⠀⢰⡏⣷⣶⣶⣿⣿⡿⣿⡟⣿⣷⣿⣿⣿⣿⣻⣿⡛⠳⣄⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⣸⣿⣥⣴⣾⠾⠿⠿⠟⠛⠛⠀⠀⠀⠀⣾⣿⠧⣿⣿⣷⣿⣿⡟⣿⠉⣿⣽⠀⣿⣾⣧⣿⡷⢶⣽⣇⣿⣾⣧⣿⢿⡖⣿⡇⢿⡟⣿⣰⡮⣿⣽⡏⡄⠀⠈⠲⠀⠄⠀⠀⣀⣀⣠⣤⣴⣿⣿⣿⣿⣿⣿⠿⢿⡟⠛⠋ ⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣝⣿⣿⣿⣿⣿⣿⣷⣿⣧⣿⣷⢄⡻⠿⠟⣿⣷⣾⡿⠛⠛⠛⠋⠙⣛⣁⣉⣥⣬⣕⡺⣯⠀⠉⣀⣀⣭⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⡿⠿⠻⠛⠛⠉⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣶⣿⡏⠀⣰⠿⣩⣤⣧⣼⣿⡶⠾⠉⣉⣉⣠⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠶⢆⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⢀⣋⣀⣨⣯⣽⣷⣶⣾⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠋⠉⠉⠁⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣤⠦⣾⠟⠛⠛⠛⠋⠙⠚⢻⣿⣢⠄⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⡿⠿⠿⠟⠛⠛⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀ ⢿⡯⢤⣯⣀⣤⣭⣵⣎⠃⣴⣿⣋⣝⣷⣦⣾⣿⣿⣿⣿⣿⠿⠿⢿⡻⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣻⣷⣿⣇⢀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀ ⠿⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠓⠂⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣧⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠾⠟⠛⠛⠋⠉⠉⠉⠈⠀⠘⠋⡉⠭⠿⠖⠒⠒⠂⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠛⠻⠿⢿⣿⣿⣿⣿⠿⠟⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⢀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⢀⣤⣴⣤⣰⣤⣤⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⢰⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⡀⠀⠀⠤⡠⠀⠴⠀⣼⣿⣻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣠⣿⣿⣿⣿⣿⣿⣯⣿⣿⡄⠀⣿⣿⣿⣿⣿⣯⣄⣼⣿⣻⣦⣒⣛⣻⣿⡟ ⠠⠄⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠃⠿⠀⠀⠀⠂⠀⠀⠀⣿⣿⣿⡇⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣣⣄⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠄⠖⣤⣀⣤⣦⣶⣤⡾⠏⣸⣿⡯⣿⠃⡾⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⠉⠉⠈⢿⡿⢿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⣀⡀⣠⡄⠘⠁⠹⠿⣖⡶⠒⠿⢠⣿⠁⠀⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⣀⣀⠁⠈⣿⣿⣿⣿⣿⠿⡾⣿⣿⣿⣿⣿ ⢶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡄⠒⢶⠶⠶⣶⣶⣶⣶⣶⣶⣶⣶⠶⠖⠂⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣴⣄⣰⣤⣿⣿⣿⣿⣿⡿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⢛⣹⣿⣿⣾⣿⣿⣯⣶⣿⣿⣿⣿⠿⠻⢿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⢋⣉⡶⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠋⠁⣀⣀⠶⣘⠺⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠂⠂ ⣾⣿⣿⣿⣿⣿⣿⣿⠿⡶⢂⣲⣿⣿⣠⣿⣿⣿⣿⣿⣿⣿⢿⣏⣣⣶⣶⣚⠋⢡⣑⣬⣶⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣦⣴⣶⡆⠀⠀⠀⠀⠀⠀⠀⢠⣤⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡟⣠⣽⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⣟⣿⣷⣾⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠙⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⠄⣶⣿⣿⣿⡄⠀⠀ ⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠿⠓⠆⠀⠀⠀⣠⡄⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⠀⠀⠀⠀⠀⠸⣿⠀⠿⠍⠐⠛⠋⠉⠀⠀⠀⠀ ⣹⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢿⣷⡦⠀⠀⠀⠀⠀⠁⠘⠂⠀⠀⠀⠀⠀⠀⠀⣀⡀⡀⠀⢀⡀⡏⠀⠀⠀⠀⠀⠀⠀⣤⣁⠀⠀⠀⠀⠀⠀⢀⠀⠀⠠⠄ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣭⣭⣤⣤⣤⣤⢩⣷⡶⢶⡆⣶⢰⡾⠆⠀⣴⣶⣾⣾⣷⡄⠈⠀⠀⠀⠀⠀⢸⠀⢖⡀⠀⠀⠀⠀⠀⠀⠁⢀⣠⣾⣿⣾⡇⠈⠀⠀⠀⡀ ⢸⣿⣿⣿⣿⣿⣿⣿⣻⣿⣽⡿⣿⢹⣿⣿⣿⣿⡿⠿⠿⢟⣯⡷⢖⣉⣿⣯⣿⡏⣿⠀⣿⡀⠀⢸⡇⢸⣿⣿⢸⣿⣃⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⢀⠏⠀⠘⠁⠀⠀⠀⠀⠀⠀⢀⡀⠉⠿⢟⣿⣛⣄⣀⣧⣤⣥ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠿⠟⠛⠉⠀⠀⠀⠀⠀⣀⣤⣿⣿⣿⣧⣿⡧⣿⡶⠿⠇⠀⠘⠛⠘⣛⠛⠛⠛⣛⣿⣿⠿⢿⣿⣹⣿⣿⣿⣏⡉⣠⠃⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠈⢡⡿⠟⠉⣺⣫⣿⣿⣿⣭⡁⠀⠀⠀⠀⠀⠀⠀⢰⣊⣴⣿⣿⣿⣿⣿⣿⣿⠷⣪⣭⡄⣤⣤⠀⢰⡖⣷⣶⣶⣿⣿⡿⣿⡟⣿⣿⣿⣿⣿⣿⣛⣿⠋⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⣸⣿⣭⣤⣾⣾⡿⠿⠿⠟⠛⠀⠀⠀⠀⣾⣿⠧⣿⣿⣷⣿⣿⡿⣿⠘⣿⣽⠀⣿⣾⣧⣿⡷⣠⣼⡇⣿⣹⣧⣿⢿⡞⣿⡇⢻⡏⣿⣲⡞⣿⣿⠏⠤⠀⠀⠢⠀⠄⠀⢀⣀⣀⣤⣤⣴⣿⣿⣿⣿⣿⡿⠿⠿⡛⠟⠋ ⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣝⣿⣿⣿⣿⣿⣿⣷⣿⣧⣿⣷⣠⡻⠿⠟⢿⡷⠟⠿⠋⠙⠛⣃⣙⣻⣥⣽⣧⣮⣭⣭⣿⡄⣉⣀⣀⣬⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣶⣿⡟⠀⣰⠟⣷⣶⣶⣿⣿⣟⠿⣟⣙⣙⣭⣤⣿⣿⣾⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠶⠄⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⣉⣀⣬⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠛⠋⠉⠉⠁⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣤⡤⣾⠿⠛⠛⠛⠏⠙⠒⢻⣿⣢⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⡿⠿⠿⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀ ⢿⡯⢤⣿⣀⣠⣩⣥⣞⠃⣠⣿⣏⣟⣷⣤⣼⣿⣿⣿⣿⣿⡿⠿⠿⠻⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣛⣿⣿⡇⢀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀ ⢿⣗⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣧⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠾⠿⠟⠛⠛⠉⠉⠉⠁⠉⠐⠈⠉⠩⠽⠷⠖⠒⠒⠀⠉⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠋⠻⠿⠿⣿⣿⣿⣿⠿⠿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⢀⣤⣶⣦⣶⢤⣤⢀⡀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠠⡀⠀⣴⠀⣸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣠⣾⣿⣿⣿⣿⣿⣯⣿⣿⡄⠀⣿⣿⣿⣿⣿⣯⣄⣼⣿⣻⣦⣒⣛⣻⣿⡟ ⠠⠄⠀⠀⠀⠀⠀⠀⠀⣁⠀⠀⠃⠾⠄⠀⠀⠆⠀⠀⠀⣿⣿⣿⡟⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠖⡤⣐⣠⣤⣰⣄⡾⠇⣸⣿⡯⣿⠃⡾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠉⠉⠀⢻⡿⢿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⣀⡀⣠⣄⠌⠡⠹⠿⣖⡶⠒⠿⢡⣽⠃⠀⣿⣿⣿⣿⣿⣷⣿⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣀⣄⣄⠀⠈⣿⣿⣿⣿⣿⠿⠾⣿⣿⣿⣿⣿ ⢶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡶⢶⠄⠒⢶⢖⣒⣲⣶⣶⣶⣶⣶⣶⠶⠖⠒⠀⠀⠀⣀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣧⠾⣦⣬⣶⣿⣿⣿⣿⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣛⣉⣼⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⠿⠟⠛⠻⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠋⣉⣤⡞⣻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⢉⡀⣤⣲⠣⡏⢙⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠁⠁ ⣿⣿⣿⣿⣿⣿⣿⡿⢿⠖⣠⣽⣿⣿⣵⣿⣿⣿⣿⣿⣿⡿⣿⣧⣴⣶⢾⡫⢥⣐⣤⣶⣾⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⠾⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣟⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⢄⡀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠈⢻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⢀⣀⠀⣴⣶⠆⢿⣿⣿⡿⠇⠀⠀ ⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠙⠉⠂⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠘⡿⠀⠟⠒⠈⠉⠉⠀⠀⠀⠀⠀ ⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠿⣿⣷⠀⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⡀⡜⠀⠀⠀⠀⠀⠀⠀⠶⣤⠀⢀⠀⣀⢀⡀⠠⠀⠀⠐⠂ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣻⣭⣥⣤⣤⣤⣤⣤⠠⣿⡶⢶⡆⣶⢰⡾⠆⢀⣴⣶⣾⣾⣷⡄⠀⠀⠀⠀⠨⠛⢻⠃⢰⣀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣗⠈⠀⡀⠈⡄ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣿⡽⣸⣿⣿⣿⡿⠿⠟⠛⠫⠽⠾⢋⣌⣿⡿⣿⡏⣿⠀⣿⡄⠀⢸⡇⢸⣿⣿⢸⣿⣣⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢀⠞⠀⠈⠋⠀⠀⠀⠀⠀⠀⠀⢤⣈⣛⣛⣽⣯⣧⣤⣥⣴⡶ ⢸⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠉⠁⠀⠁⠀⠀⠀⣤⣴⣿⣿⣿⣧⣿⡇⢿⣶⠿⠇⠀⠘⠛⠘⢛⠛⠛⣛⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣷⣶⣴⣃⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠈⢰⡿⢋⠁⣨⣮⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⢰⣫⣴⣿⣿⣿⣿⣿⣿⣿⠷⣳⣬⡄⣤⣤⠀⢰⡆⣷⣾⣿⣿⣿⡿⣿⡿⣿⣿⣿⣿⣿⣿⣻⣿⠑⠈⠦⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢸⣿⣷⣶⡾⠿⠿⠿⠛⠛⠛⠀⠀⠀⠀⣾⣿⠷⣿⣿⣷⣿⣿⡟⣿⠉⣿⣭⠀⣿⣾⣧⣿⡷⣴⣼⣇⣿⢼⡷⣿⢿⡇⣿⡇⢻⡏⣿⣰⡎⣿⣽⠋⠘⠀⠀⠐⠂⢀⣀⣠⣤⣤⣴⣶⣾⣿⣿⣿⡿⢿⠟⠛⠿⠏⠉⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣝⣿⣿⣿⣿⣿⣿⣷⣿⣧⣿⣷⣠⡻⠿⠟⢿⡟⠋⠿⢃⣙⣛⣣⣽⣻⣷⣿⣧⣭⣯⣭⣽⣶⣩⣥⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⡿⠀⣴⡋⠾⣿⣿⣿⣿⣿⣿⣿⣿⣭⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣀⣠⣷⣂⡀⠀⢀⣀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣃⣀⣠⣤⣤⣾⣷⣿⣿⣿⣿⡿⠿⠿⠿⠿⠛⠛⠋⠉⠁⠀⠀⠀⠀⣀⣀⡀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⣴⠶⢾⠟⠛⠛⡛⢋⡉⠙⣻⣿⣴⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠟⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀ ⢻⡯⠠⣾⣄⣤⣤⣴⣯⣁⣰⣿⣧⣭⣿⣶⣾⣿⣿⣿⣿⣿⣿⡛⠻⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⢠⡀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀ ⠻⢿⣚⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣯⡿⠿⠛⠛⠉⠉⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣷⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠻⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀⠉⠠⠤⠒⠒⠛⠉⠁⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠉⠙⠛⢛⠿⠿⠿⠿⠟⠛⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣆⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠇⢀⣴⣾⣷⣶⢶⣶⣀⣀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⢰⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⡀⠀⠐⠄⠀⠶⠂⣸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣴⣿⣿⣿⣿⣿⣿⣷⣿⣿⣧⠀⣿⣿⣿⣿⣿⣯⣌⣽⣿⣻⣦⣒⣛⣻⣿⡟ ⠀⠆⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠓⠺⠂⠀⠀⠂⢀⡀⠀⣿⣿⣿⡏⢀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣵⣦⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾ ⠀⠄⠀⠀⠀⠀⠀⠀⢀⡀⣀⣒⡶⢪⡴⣶⣴⣦⡟⠛⢸⣿⡗⣿⣇⡾⢴⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠹⠟⢿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⠐⠀⠀⠀⣀⡠⣶⡖⠚⠋⠙⠛⢻⠟⠋⠻⢂⣾⠣⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣀⣄⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣴⣶⣦⡀⠈⣿⣿⣿⣿⣿⠿⡾⣿⣿⣿⣿⣿ ⣲⣶⣶⣶⣶⣶⣶⣶⣶⡶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡖⠲⠂⠀⡰⣤⣶⣤⣶⣶⣶⣶⣶⡶⠖⠂⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣻⣿⣿⡷⣛⣷⣶⣿⣿⣿⣿⣿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⠿⢟⣛⣭⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠋⠉⠙⣣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀ ⢻⣿⣿⣿⣿⣿⣿⣿⣿⡛⠋⢁⣤⣶⠏⣩⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⡉⣠⡄⠴⠇⡣⢝⣠⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣫⠋⣴⣼⣿⣿⣾⣿⣿⣿⣿⣿⢿⣟⣿⣷⣾⢿⣿⣆⣳⣬⣶⣾⣿⣿⣿⠢⡀⠀⠀⠀⠀⠀⠀⡾⣿⠟⣿⣟⡀⠀⠀⠀⠀⠀⠀⠀⠐⠲⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣶⡀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣻⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⢀⣤⡄⣶⢿⠃⣺⣿⠿⠟⠃⠀⠀ ⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡈⠀⠀⠁⠀⠀⠀⡀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠟⠀⠋⠉⠀⠀⠀⠀⠀⠀⠀⡀ ⣼⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠛⠋⢉⠙⢿⣿⡀⠀⠀⠀⢀⠂⠉⠀⠀⠀⠀⢀⣀⠀⠀⠠⠤⣶⣦⣤⣤⡞⢀⠀⠀⠀⠀⠀⠀⠛⠳⠆⠀⣠⣤⣀⣄⠐⠆⠀⢈⠁ ⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣟⣻⣍⣃⣬⣴⣦⣤⣤⣤⠠⣶⡷⢶⡆⣶⢰⡾⠆⣠⣾⣿⣿⣿⣿⡄⠀⠀⠀⠈⠉⠒⢻⠁⢸⡤⠀⠀⠀⠀⠀⠀⠀⠀⠺⣿⣿⣿⣯⡂⠀⡄⠀⠆ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣾⣾⣿⢟⣸⣿⣿⡿⠟⡛⠉⠉⠑⠚⠛⣡⣬⣿⡯⣿⡏⣿⠀⣿⡄⠀⢸⡇⢸⣿⣿⢸⣿⣻⣿⡿⣿⣿⡿⢿⣷⣆⣀⡀⠀⠀⡠⢋⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⣲⣤⣬⣽⣾⣷⣷⣶⣶⣿⡧ ⠸⠻⣿⣿⡿⢿⢷⣿⣿⣿⡿⠿⠛⠋⠉⠀⠀⠀⠀⠀⣠⠀⣶⣾⣿⣿⣿⣷⣿⡇⠿⠷⠿⠇⠀⠘⠛⠘⡛⣛⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣶⡾⢆⠈⢀⠀⠂⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇ ⠀⢨⣟⡡⠀⢰⣧⣿⣿⣿⣷⣦⠀⠀⠀⠁⠀⠀⠀⣸⣷⣾⣿⣿⣿⣿⣿⣿⣿⠗⣻⣥⡄⣤⣤⠀⢰⡞⣶⣾⣯⣿⣿⡿⣿⡿⣿⣿⣿⣿⣿⣿⣛⣿⢁⠐⠑⠄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿ ⠀⠸⠿⠿⠿⠛⠛⠛⠛⠉⠉⠉⠀⠀⠀⠀⢾⣿⢷⣿⣿⣿⣿⣿⡟⣿⡀⣿⣭⠀⣿⣾⣧⣿⣷⣼⣿⡇⣿⢺⡇⣽⢿⡆⣿⡇⢻⡏⣿⣰⡎⣿⣭⠁⠹⠆⠀⣄⣁⣠⣤⣴⣶⣶⣿⣿⣿⡿⣿⣿⠛⠿⠯⠛⠏⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣝⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣶⣔⠻⠿⠟⣿⠏⣁⣾⣃⣹⢻⣧⣟⡛⣡⣽⠣⢬⣡⣽⣽⣶⣥⣶⣶⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⡷⠐⠒⠁⠘⢿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⡿⠿⠿⠟⠛⠛⠉⣉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣤⣤⣤⣵⣭⢄⣀⣠⣤⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣧⣤⣴⣶⣶⣾⣿⣿⡿⢿⠿⠟⠟⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⡠⣴⣦⣤⡁⣈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣶⠛⢻⠋⠉⣁⠬⣩⡄⢀⣡⡿⣷⣤⡀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣧⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀ ⣽⣿⠑⣿⣦⣶⣶⣿⣷⣤⣼⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣻⣿⢏⠫⠍⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⢿⣿⣿⣿⣷⣿⣿⡿⣰⣆⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀ ⣙⣻⣬⣿⣿⣿⣿⠿⠿⠟⠛⣻⣻⠿⠿⠟⢛⣏⡉⣛⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠗⣿⣿⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠙⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠐⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡏⠀⠘⡉⣉⠙⡛⠛⠛⠉⠉⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⣴⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⣰⣾⣿⣿⣿⣽⡿⣷⣶⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⢸⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢠⠄⠀⠀⠀⠀⠚⠁⣸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⡳⣷⠀⢿⣿⣿⣿⣿⣯⣄⣼⣿⣻⣦⣒⣛⣻⣿⡟ ⠀⠐⠀⠀⠀⠀⠀⠀⠀⠐⠂⢀⠈⢙⠀⢀⢀⡁⢀⣤⠀⣿⡷⢿⡞⢨⠑⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠷⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⣴⣲⣭⣜⣑⣒⣳⡾⢷⡞⠉⢰⣿⣟⣻⣇⣜⣲⣄⣀⣀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡤⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠘⠛⢿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⠈⠀⠀⠀⣴⡀⣻⣏⠉⡉⢉⠩⠹⠋⠍⠉⣡⣿⠃⠆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣠⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣷⣆⠈⣿⣿⣿⣿⣿⠿⠾⣿⣿⣿⣿⣿ ⣶⣶⣶⣶⣶⣶⣶⣶⣶⠶⢴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢒⡆⠀⡤⣶⣶⣶⣶⣶⣶⣶⣶⠶⠒⠂⠀⠀⢀⠀⠀⠒⢀⠠⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⣻⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⡟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⢛⣭⣥⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⢉⣀⢥⣉⣅⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢠⠀ ⣹⣿⣿⣿⣿⣿⣿⣿⣿⣏⡉⢠⣴⣶⡏⣠⣿⣿⣿⣿⣿⣿⣿⣿⢟⣫⣡⣤⡦⡶⣛⠩⣋⣦⣅⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣴⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣯⠏⣸⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣷⣿⣿⡿⣾⣦⣽⣾⣿⣿⣿⣿⡗⠄⠀⠀⠀⠀⠀⠾⠿⠟⠿⣿⣥⡀⠀⠀⠀⠀⠠⠄⠀⠀⠈⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣤⣴⣶⣆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠤⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⣴⡆⢾⣿⠏⣼⡿⠿⠛⠋⠀⠀ ⢿⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠠⢀⡠⠀⠉⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⢀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⠊⠉⠀⠀⠀⠀⠀⠀⠀⣀ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⢿⣟⠛⠉⠡⠈⠻⢿⣅⠀⠀⠀⣴⣄⠀⠀⠀⢀⣀⣠⡠⠀⠐⠛⢾⣿⣿⣿⣿⠇⢰⠀⠀⠀⠀⠀⠀⠈⠙⠗⠀⣠⣴⣤⣤⠀⡔⠀⠀⠀ ⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣻⡭⢓⣨⣥⣶⡇⠀⠀⠀⠀⠀⠙⠢⠄⣸⣿⠿⢀⣴⣿⣿⣿⣿⣷⡀⠀⠀⠈⠈⠛⠛⣸⠀⠘⠗⠀⠀⠀⠀⠀⠀⠀⠀⠺⠿⣿⣿⣿⣄⠀⢠⠀⠂ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣵⣿⣿⠿⠛⠋⠉⠉⠀⠉⠉⣭⣾⣿⣿⣿⣿⣧⡙⠂⠀⠀⠀⠀⠀⢠⡏⠃⠀⢾⣿⣿⣿⣿⠿⢿⣿⣆⣀⠀⠀⠀⣰⢡⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣥⣬⣷⣾⣷⣾⣶⣿⣿⡏ ⢸⣿⣿⣿⠿⠻⡿⣿⣿⣿⣿⠛⠋⠉⠀⡀⠀⠀⠀⠀⣠⠀⣴⣿⣿⣿⣿⣿⣿⣿⣟⡿⠇⠀⠀⠀⠀⢠⣿⣇⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⢦⡀⢀⠀⠁⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧ ⠀⠈⣿⣥⢂⣰⣗⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⠀⣛⡇⢠⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⢓⠀⠈⠆⡀⠀⠀⠀⠀⠀⠀⢀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿ ⠀⠸⠛⠛⠛⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢐⣿⣧⣾⣿⣿⠿⡿⠟⠻⠯⠹⢉⣒⣢⣤⣴⣶⡌⠉⡉⠋⠸⢗⣀⣀⣡⣤⣤⣶⣶⣾⣿⣿⣿⣿⣿⣿⡿⠿⠭⠟⠓⠊⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠚⣿⡿⢭⣑⣀⣬⣬⣶⣶⣾⣿⠿⢿⣟⣻⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠸⠛⠉⢿⣿⣿⣯⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⠛⠉⢉⢁⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣠⣤⣤⣾⣶⣵⠦⢄⣤⣴⣄⡀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣶⣶⣿⣿⣿⣿⡿⠿⠿⠿⠿⠟⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⣴⣾⣶⣶⣄⣀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣿⠋⢹⠇⠀⠤⠤⣄⠶⢠⣰⡿⠿⢧⣄⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⡿⣷⣤⡴⠄⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀ ⣼⣿⣉⣿⣿⣾⣿⣿⣿⣦⣾⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⠿⠯⠯⠍⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⢦⣶⡀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀ ⣨⣭⣿⣿⣿⡿⠿⠟⠛⢿⢋⠿⠽⠿⣛⣿⣻⣽⣭⠭⠤⠆⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣧⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠁⠉⠉⠁⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠁⠀⣉⣭⣉⠟⡛⠋⠉⠈⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⣿⣷⣶⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⣠⣾⣿⣿⣿⣯⣿⢳⣶⣆⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⢸⢁⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⣒⣰⡆⠀⠀⢉⠀⠉⠁⢸⣿⣿⣿⠇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡂⢸⣿⣿⣿⣿⣯⣄⣼⣿⣻⣦⣒⣛⣻⣿⡿ ⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠃⢀⢀⡈⠄⡀⣀⡀⢤⣤⠀⣾⣿⣿⣿⢰⣌⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡛⠛⠊⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢈⡁⠀⠀⠀⠀⠀⣀⣀⣶⣼⣴⣞⣰⣿⣿⡛⣻⡿⠉⢸⣿⣧⣽⣯⣬⣭⣥⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣦⠂⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⠀⢀⣀⠈⣶⡉⠻⣟⢉⡉⠠⠔⠙⢋⣀⠀⣥⣿⠇⠇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣠⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⣿⣿⣿⣿⣿⠿⡾⣿⣿⣿⣿⣿ ⣶⣶⣶⣶⣶⣶⣶⣶⣶⠖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡶⢐⡂⠠⢔⣶⣶⣶⣶⣶⣶⣶⡶⠖⠒⠀⠀⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢛⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⡛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⣫⣭⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⢉⡤⣥⣩⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢀⠀ ⣹⣿⣿⣿⣿⣿⣿⣿⣿⣍⡁⣠⣶⣾⠏⣰⣿⣿⣿⣿⣿⣿⣿⣿⢛⣉⣤⣤⣶⢞⡛⢍⣚⣥⣅⠀⠀⠀⠀⠀⠀⣠⣶⣶⣿⣷⠀⠀⠀⠀⠀⠀⠀⠄⠈⠉⠛⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣽⢋⣺⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢿⣷⣮⣷⣿⣿⣿⣿⣿⠕⠀⠀⠀⠀⠰⠟⠛⠛⠛⠿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢠⣤⣶⣶⡆⠀⠀ ⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⠦⣄⠀⠘⠀⠀⠀⠀⢀⠄⠈⠁⠀⠀⠀⠀⢀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡆⣿⢻⠏⢼⠿⠿⠛⠉⠀⠀ ⢿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⣴⡀⠀⠠⠀⠉⠀⠀⠀⠀⣴⣿⣿⣿⣷⣾⡿⡿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠓⠉⠁⠀⠀⠀⠀⠀⠀⠀⡀ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⡛⠋⠉⠠⠈⠻⢿⣄⠀⣰⣿⣧⡀⠀⣀⣀⣠⣤⡄⠀⠀⠘⡻⣿⣿⣿⠀⡇⢸⣠⠀⠀⠀⠀⠀⠀⠉⠙⠗⠀⣠⣴⣤⣤⠀⠆⠀⠠⠄ ⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣯⠝⣂⣭⣴⣶⡇⠀⠀⠀⠀⠀⠉⠒⣿⣿⡟⢋⣾⣿⣿⣿⣿⣿⡄⠀⠀⠈⠋⠘⠇⢸⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢿⣿⣿⣿⡄⠀⢰⠀⠂ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣼⣿⡿⠿⠛⠉⠀⠀⠈⠉⠉⣵⣿⣿⣿⣿⣿⣷⡙⠀⠀⠀⠀⠀⣼⣿⡿⠀⢸⣿⣿⣫⣿⠿⠻⣻⣇⡀⠀⠀⠀⢠⠃⡆⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⢹⣤⣼⣷⣾⣾⣿⣿⣿⣿⡏ ⢸⣿⣿⡿⠟⠻⡿⣿⣿⣿⡟⠛⠉⠁⠀⡀⠀⠀⠀⠀⡤⠀⣿⣿⣿⣿⣿⣿⣿⣿⣟⡿⠇⠀⠀⠀⢠⣿⡏⢀⣠⣼⣿⣿⣿⣯⣾⣷⣿⣿⣿⣿⣶⣤⣿⣄⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇ ⠀⢸⣿⣔⣀⣸⣷⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠃⠄⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠒⠀⠑⢤⠀⡀⠀⠀⠀⠀⠀⣀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟ ⠀⠸⠛⠛⠛⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⢠⣾⣿⣿⣿⣿⣿⣿⡿⠿⡛⠛⠛⠉⠉⣙⣛⠛⠻⠿⠏⠴⣂⣀⣦⣤⣥⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⠿⠯⠿⠛⠑⠀⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⠃⠀⣿⣿⠟⠟⠍⢉⢉⣀⡠⠤⠔⠒⠒⣋⣉⣭⣽⣶⣶⣾⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡤⣀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠼⠋⠓⠓⣒⣀⣠⣭⣤⣶⣶⣶⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠋⠉⡁⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⣠⣶⣶⣶⣾⣶⠦⢤⣴⣶⢄⡀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣵⣶⣶⣿⣿⣿⣿⠿⣿⠿⠿⠉⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣶⣌⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⡿⣉⣹⠁⠀⠤⣖⡤⠦⢠⣴⡿⠿⣶⣄⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣷⣤⣶⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀ ⣾⣿⢨⣿⣷⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠓⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢴⣧⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀ ⣬⣽⣾⣿⠿⠿⠟⠛⠟⠿⡻⠿⠿⣛⣛⣟⣫⣭⠭⠥⠶⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣧⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠉⠀⠀⠀⠀⠀⠀⠀⣀⡄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⠀⢀⣉⣭⣉⡛⠛⠋⠉⠁⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢀⣿⣷⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⣰⣿⣿⣿⣿⣿⣿⣳⣶⣄⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣖⣰⡂⠀⠂⡁⠀⠉⠀⣼⣿⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡂⢸⣿⣿⣿⣿⣯⣄⣽⣿⣻⣦⣒⣛⣻⣿⡿ ⠀⠈⠀⠀⠀⠀⠀⠀⠀⠘⠀⣠⢀⡨⢀⣀⢀⡤⢠⣦⢠⣿⣿⣻⡟⢰⣈⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡛⠛⠊⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢈⠁⠀⠀⠀⠀⣀⣀⣰⣶⣿⣶⣮⣼⣯⣽⡟⣻⡏⠀⣸⣿⣯⣽⣧⣭⣭⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣶⡶⠂⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⠀⣀⣀⠈⣿⠉⢻⣏⢉⠀⠤⠔⠛⢉⡄⡈⣴⣿⠱⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⡇⠀⣠⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⣿⣿⣿⣿⣿⠿⡾⣿⣿⣿⣿⣿ ⣶⣶⣶⣶⣶⣶⣶⣶⣶⠖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡶⢐⡂⠠⢔⣶⣶⣶⣶⣶⣶⣶⡶⠖⠒⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢛⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣻⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⡛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⣫⣭⣦⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⢁⡄⢄⣉⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢀⠀ ⣹⣿⣿⣿⣿⣿⣿⣿⣿⣍⡁⣠⣶⣾⠏⣰⣿⣿⣿⣿⣿⣿⣿⡟⢛⣉⣀⡄⡶⢚⡋⢀⣚⣤⣅⠀⠀⠀⠀⠀⠀⣠⣶⣶⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣽⢋⣸⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⢽⣶⣭⣷⣿⣿⣿⣿⣿⠑⠀⠀⠀⠀⠰⠟⠛⠛⠛⠿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢠⣤⣴⣶⡆⠀⠀ ⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⠦⣄⠀⠐⠀⠀⠀⠀⢀⠀⠈⠁⠀⠀⠀⠀⢀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠆⣿⢻⠏⢼⠿⠿⠛⠉⠀⠀ ⢿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⣴⡀⠀⠠⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣷⣾⡿⡿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠓⠉⠁⠀⠀⠀⠀⠀⠀⠀⡀ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⡛⠋⠉⠠⠈⠛⢿⣄⠀⣰⣿⣧⡀⠀⣀⣀⣠⣤⡄⠀⠀⠘⠻⣿⣿⣿⠀⡇⢘⣠⠀⠀⠀⠀⠀⠀⠉⠙⠓⠀⣠⣴⣤⣤⠀⠆⠀⠠⠄ ⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⠿⣛⣯⠝⣂⣩⣴⣶⡇⠀⠀⠀⠀⠀⠉⠒⣿⣿⡟⢋⣼⣿⣿⣿⣿⣿⡀⠀⠀⠀⠁⠘⠇⢸⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⣿⣿⣿⡄⠀⢰⠀⠂ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣼⣿⡿⠟⠛⠉⠁⠀⠈⠉⠉⣵⣿⣿⣿⣿⣿⣧⡙⠀⠀⠀⠀⠀⣸⣿⡿⠀⢸⣿⣿⣻⣿⠿⠻⣻⣇⡀⠀⠀⠀⢠⠃⡆⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⢩⣤⣼⣷⣾⣶⣿⣿⣿⣿⡏ ⠸⢽⣿⡿⠟⠻⡿⣿⣿⣿⡟⠛⠉⠁⠀⡀⠀⠀⠀⠀⡤⠀⣾⣿⣿⣿⣿⣿⣿⣿⣟⡿⠇⠀⠀⠀⢠⣿⡇⢀⣀⣼⣿⣿⣿⣯⣾⣷⣿⣿⣿⣿⣶⣤⣿⣄⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇ ⠈⢸⣿⣔⣀⣸⣷⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠅⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠓⠀⠑⢤⠀⡀⠀⠀⠀⠀⠀⣀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟ ⠀⠘⠛⠛⠛⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⢠⣾⣿⣿⣿⣿⣿⣿⡿⠿⡛⠛⠛⠉⠉⣙⡛⠛⠻⠿⠏⠴⣀⣀⣤⣤⣥⣴⣶⣾⣿⣿⣿⣿⣿⣿⠿⠿⠏⠻⠛⠂⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⠃⠀⣿⣿⠟⠟⠉⠉⢉⣀⡠⠤⠐⠒⠒⣋⣉⣭⣽⣶⣶⣾⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠼⠋⠒⠒⣂⣀⣀⣭⣤⣶⣶⣶⣿⣿⣿⣿⣿⠿⠿⠿⠛⠛⠋⠉⠁⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⣠⣶⣶⣶⣾⣷⠦⢤⣴⣶⢄⡀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣵⣶⣶⣿⣿⣿⣿⠿⡿⠻⠿⠉⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣷⣶⣄⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⡿⣉⣹⠀⠀⠤⣐⡤⠆⢠⣴⡿⠿⣶⣄⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⡿⣷⣤⣶⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀ ⣾⣿⢀⣿⣷⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠑⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣧⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀ ⣬⣽⣾⣿⠿⠿⠟⠛⠻⠏⡫⠿⠿⢛⣛⣛⣯⣭⠅⠤⠴⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣧⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠈⠉⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⠀⢀⣉⣬⣉⠛⠛⠋⠉⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⣀⠐⠒⠒⠢⣀⠔⠒⠒⡖⠒⠒⠒⠒⠒⠒⠒⡖⠒⢲⠖⠛⠛⢿⠓⠒⠒⠒⠒⠒⠒⡖⠒⢢⢠⠒⢂⣀⠒⠒⡄⠀⠒⢲⠒⠒⣶⠚⢻⠛⢲⡟⠛⣿⠛⢻⠟⠛⠛⢶⡔⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⠸⣸⠀⠀⠇⠀⣿⠀⢠⠀⢷⡆⠀⣶⣶⡆⠀⣶⡇⠀⢸⠀⠸⢤⣼⣶⠀⠀⣶⠀⠀⠶⡇⠀⢸⣿⠀⢸⣿⠀⠀⡇⢸⠀⢸⠀⠀⡏⠀⢸⠀⢸⡇⠀⠹⠀⢸⠀⠸⢤⣼⡇⠀⣿⣿⣿⣿⣯⣄⣼⣿⣻⣦⣒⣛⣻⣿⡟ ⠀⢹⠀⠀⡆⠈⢻⠀⠸⠀⢸⡇⠀⣿⣨⡇⠀⣿⡇⠀⢸⠷⢤⠀⠹⣿⠀⠀⣿⠀⠀⣤⡇⠀⢸⣿⠀⢸⣿⠀⠀⡇⢸⡀⠘⠀⡄⠀⠀⣿⠀⢸⡇⠀⠀⠀⢸⠷⢤⠀⠙⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢈⢽⣀⣀⣁⣀⣆⣀⣰⣀⣈⣇⣀⣿⣿⣇⣀⣿⡇⣀⣸⣄⠈⢀⣠⣿⣀⣀⣿⣀⣀⣉⣧⣀⣈⣹⣀⣈⣩⣀⣀⣷⣶⣇⣀⣠⣇⣀⠀⣿⣀⣸⣇⣀⣇⣀⣸⣄⠈⢀⣠⣏⣉⡏⠛⢿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⠀⣈⣉⠙⣿⠉⢻⣏⢉⠉⠭⠝⠛⢉⡄⡈⣽⣿⠹⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⡏⠉⣩⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⣿⣿⣿⣿⣿⠿⠾⣿⣿⣿⣿⣿ ⣶⣶⣶⣶⣶⣶⣶⣶⣶⠶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡖⢲⠀⢀⠶⣤⣦⣴⣶⣶⣶⣶⣶⠶⠖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⣿⣿⣿⣿⣿⣿⣿⣷⣴⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣻⣿⣿⡿⣛⣷⣶⣿⣿⣿⣿⣿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡿⠿⣛⣫⣥⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠉⣉⢝⢅⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠘⠻⠿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀ ⢿⣿⣿⣿⣿⣿⣿⣿⣟⣛⠉⣀⣴⣾⠋⣽⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⢁⢠⠤⠤⢂⠠⢐⣈⡉⠀⠀⠀⢀⣴⣿⣾⠿⠷⢠⡤⠐⠂⠉⠁⠀⠀⠀⠀⠀⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣽⠉⣶⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣻⣽⣷⡿⣛⣯⣔⣳⣼⣶⣿⣿⣿⣿⠢⠀⣴⡿⠟⠛⠛⠛⢻⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣷⡦⠀⡙⠀⠀⠀⠀⠀⠀⠈⠁⠀⣠⣶⣾⣿⣾⣶⣿⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⢠⣶⣾⢃⣿⣿⡿⠿⠃⠀⠀ ⢺⣯⣿⣿⣿⣿⣿⣿⣿⣿⢿⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠁⢠⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠇⢸⡇⣶⡀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠌⠓⠁⠀⠁⠀⠀⠀⠀⠀⠀ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠛⠋⠉⠛⢿⡏⣸⣿⣷⡀⠀⠀⡀⣀⣠⣄⠀⠀⠀⣻⣿⣿⣿⠀⢸⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠒⢶⠄⠀⣀⣤⣀⡀⢀⠀⠀⢈⡁ ⢹⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣛⠯⠙⣂⣭⣴⠀⠀⠀⠀⠀⠀⣿⣿⡿⠋⣰⣷⣞⣩⡻⣿⣇⠀⠀⠈⠙⠈⢿⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣏⡀⠀⡄⠀⠂ ⢸⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣣⣽⣿⣿⠿⠟⠋⠉⠉⠓⠛⢛⣵⣾⣿⣿⣿⣿⡀⠆⠀⠀⠀⢰⣿⡿⠇⠀⣿⣿⠆⣵⡿⠿⠋⠁⠀⠀⠀⠀⠀⢀⡏⡀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⣒⣀⣸⣭⣮⣵⣷⣶⣷⣶⡖ ⢘⢻⣿⣿⠿⣿⢿⣿⣿⣿⠿⠟⠛⠉⡁⠀⠀⠀⠀⢀⡀⢀⣶⣿⣿⣿⣿⣿⣿⣏⠿⣷⠀⠀⠀⣼⣿⠀⠀⢀⠉⠙⠛⡿⠃⠀⠀⣴⣶⣤⣄⣀⠀⣼⡐⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠀⣸⣯⠤⢀⣾⣼⣿⣿⣿⣷⡤⠀⠀⠀⠀⠀⠀⢀⣾⣶⣾⣿⣿⣿⣿⣿⣿⣿⡹⣿⠀⠀⠀⣴⣿⡋⢀⣤⣶⣿⣿⣿⣳⣴⣾⣿⣿⣿⣿⣿⣿⣿⣟⠉⠓⠦⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿ ⠀⠿⠿⠟⠛⠛⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠀⠀⡜⣽⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡀⠉⠖⣀⣙⣀⣤⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⡛⠿⠏⠉⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡶⠀⣺⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠋⠉⠉⠉⠉⣉⣹⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⢀⣿⡿⠟⠉⠉⠀⠀⠀⠀⢀⣀⣤⣤⣴⣶⣾⣿⣿⣿⠿⠿⠿⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣤⣤⣮⣭⡥⣄⣀⣤⣤⡀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣟⣓⣠⣼⣯⣤⣤⣴⣶⣶⠶⣿⡿⠟⠛⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀⠀⢠⣤⣴⣄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⡟⠛⡟⠉⠁⡠⢍⣡⡄⣈⣼⢿⣮⣄⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣄⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀ ⣹⡏⣹⣷⣶⣶⣾⣿⣦⣤⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⡯⡉⠩⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣶⣿⣿⡇⣤⡄⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀ ⣙⣵⣽⣿⣿⡿⠿⠿⠟⠛⣛⡿⠿⠿⠿⠛⣛⣛⣋⠉⡉⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢧⣿⣿⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠉⠉⠉⠉⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡏⠀⠉⠉⡙⠛⠿⠟⠛⠋⠉⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⠒⠒⠒⠢⣀⠔⠒⠒⡖⠒⠒⠒⠒⠒⠒⠒⡖⠒⢢⠞⠛⠛⢿⠓⠒⠒⠒⠒⠒⠒⡖⠒⢢⣠⠒⠂⣠⠒⠒⡄⠐⠒⢲⠒⠒⣶⠛⢻⠛⢲⡟⠛⣿⠛⢻⠟⠛⠓⢦⡜⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⠈⢹⠀⠀⠇⠀⣿⠀⢀⠀⢷⡆⠀⣶⢶⡆⠀⣶⡇⠀⢸⠀⠸⢤⣼⣶⠀⠀⣶⠀⠀⠶⡇⠀⢸⣿⠀⢸⣿⠀⠀⡇⢸⠀⢸⠀⠀⠏⠀⢸⠀⢸⡇⠀⠹⠀⢸⠀⠸⢤⣼⡇⠀⣿⣿⣿⣿⣯⣌⣼⣿⣻⣦⣒⣛⣻⣿⡟ ⠈⢻⠀⠀⡆⠈⢻⠀⠸⠀⢸⡇⠀⣿⢉⡇⠀⣿⡇⠀⢸⠷⢤⠀⠙⣿⠀⠀⣿⠀⠀⣤⡇⠀⢸⣿⠀⢸⣿⠀⠀⡇⢸⡀⠘⠀⡄⠀⠀⣿⠀⢸⡇⠀⠀⠀⢸⠷⢤⠀⠙⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⢺⣀⣀⣁⣀⣆⣀⣰⣀⣈⣇⣀⣿⣿⣇⣀⣿⣇⣀⣸⣄⠈⢀⣰⣿⣀⣀⣿⣀⣀⣉⣁⣀⣈⣹⣀⣈⣉⣀⣀⣧⣤⣇⣀⣠⡇⣀⡀⣿⣀⣸⣇⣀⣇⣀⣸⣄⠈⢀⣠⡏⡉⡿⠋⢿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⠘⠈⢉⠍⣛⡹⣿⠏⡉⢉⡉⠽⠛⠩⠉⢉⣽⡟⠸⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⢿⣿⡏⠉⣩⣽⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣷⡀⠈⣿⣿⣿⣿⣿⠿⡾⣿⣿⣿⣿⣿ ⣴⣶⣶⣶⣶⣶⣶⣶⣶⢶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡖⢶⠀⣀⢶⣴⣦⣴⣶⣶⣶⣶⣶⠶⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⣿⣿⣿⣿⣿⣿⣿⣷⣼⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣾⣻⣷⣾⣿⣿⣿⣿⣿⠛⠋⠉⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⣛⣭⣥⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⠉⢙⠀⠀⢀⣤⣤⣾⣿⣦⠀⠀⢀⡀⡤⠲⠒⠋⠉⠁⠀⠀⠈⣝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀ ⢿⣿⣿⣿⣿⣿⣿⣿⣟⡋⢉⣠⣶⣾⠉⣽⣿⣿⣿⣿⣿⣿⣿⠿⠛⣉⣁⡤⢄⠤⠄⠠⣐⣄⡀⢸⣿⣿⣿⣿⣿⣶⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⠠⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀ ⣾⣿⣿⣿⣿⣿⣿⣯⡽⠡⣶⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣻⣽⣶⣿⣻⢧⣜⣮⣵⣶⣿⣿⣿⡷⡞⠏⠉⠉⠉⠙⠛⢿⣿⠂⣀⣀⣤⣤⣤⣴⣴⣴⡶⡇⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣄⠀⠀⠀ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣇⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⡏⠀⡏⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⢰⡶⣾⢂⣿⣿⡿⠿⠂⠀⠀ ⢸⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⢠⡀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢉⢹⣿⣿⣿⣿⠀⠀⡇⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠸⠧⠘⠓⠁⠈⠁⠀⠀⠀⠀⠀⠀ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⠛⠉⠉⠻⠏⣿⣿⠆⠀⣠⢀⠠⢚⢷⡄⠀⠀⢻⣿⣿⣿⣿⠀⠀⡇⠈⠃⠀⠀⠀⠀⠀⠀⠀⠐⠒⠶⠄⠀⣀⣄⣀⡀⢠⠀⠀⡈⡁ ⢹⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣻⠏⢛⣨⣵⣶⠀⠀⠀⠀⠀⣿⠇⠀⠈⠋⠀⠀⢎⣩⡗⠄⠀⠀⠙⠻⠿⢿⠀⢰⠇⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣾⣿⣿⣿⣇⠀⠀⡀⠠⡆ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣣⣿⣿⣿⠿⠛⠋⠉⠉⠚⠛⢋⣶⣿⣿⣿⣿⣟⡀⠂⠀⠀⠀⡁⠀⠀⠐⠂⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠈⠛⠀⡼⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣆⣀⣾⣭⣯⣭⣶⣶⣷⣶⡖ ⢸⢹⣿⡿⢿⣿⢿⣿⣿⣿⠿⠛⠋⠉⠀⠀⠀⠀⠀⢀⡀⢰⣾⣿⣿⣿⣿⣿⣿⣿⡿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⣶⣦⣤⣀⣀⣠⣧⣛⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠀⣿⣥⠄⢀⣿⣾⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⢀⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⠸⣟⠀⠀⡀⠀⠀⠀⣠⣴⣾⣿⣿⣷⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⠍⢈⠙⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿ ⠠⠿⠿⠛⠛⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡷⠦⠀⣰⢃⣴⣶⣶⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⡿⣿⣿⣿⣿⠠⡀⠈⠩⣈⣘⣀⣤⣤⣴⣶⣾⣿⣿⣿⣿⣿⣟⡛⣿⠟⠉⠙⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣘⣿⠄⠀⣿⣿⢿⣿⣟⣿⣿⣷⣿⠿⠟⠛⠛⠋⠛⠛⠙⣛⣻⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡃⠀⢸⣿⡟⠛⠋⠉⠉⠁⠀⠀⢀⣀⣀⣤⣤⣶⣶⣿⣿⡿⠿⠿⠿⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣤⣤⣤⣬⣬⡥⣄⣠⣤⣄⡀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣃⣤⣼⣭⣤⣤⣤⣶⣶⠶⣿⡿⠿⠿⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⣠⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢴⠟⢛⡏⠁⠠⠤⣉⣤⠀⢠⣿⢷⣮⣄⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣄⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀ ⣹⡋⣿⣷⣴⣶⣿⣿⣦⣴⣿⣯⣾⣾⣿⣿⣿⣿⣿⣿⣻⣿⡿⡉⠍⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡇⣤⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀ ⣸⣿⣿⣿⣿⡿⠿⠿⢟⡛⣿⢿⠿⠿⡿⢛⣛⣉⣭⣩⠐⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣿⣷⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠉⠉⠉⠁⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠏⠀⠙⢉⡛⠻⠿⠟⠛⠉⠉⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠒⠒⠒⠢⣀⠔⠒⠒⡖⠒⠒⠒⠒⠒⠒⠒⡖⠒⢢⠞⠛⠛⢿⠒⠒⠒⠒⠒⠒⠒⡖⠒⢢⣠⠒⢂⣠⠒⠒⡄⠐⠒⢲⠒⠒⣶⠛⢻⠓⢲⡟⠛⣿⠛⢻⠟⠛⠒⢦⡞⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⠈⢹⠀⠀⠇⠀⣿⠀⢀⠀⢷⡆⠀⣶⢶⡆⠀⣶⡇⠀⢸⠀⠸⢤⣼⣶⠀⠀⣶⠀⠀⠶⡇⠀⢸⣿⠀⢸⣿⠀⠀⡇⢸⠀⢸⠀⠀⠏⠀⢸⠀⢸⡇⠀⠹⠀⢸⠀⠸⢤⣼⡇⠀⣿⣿⣿⣿⣯⣌⣼⣿⣻⣦⣒⣛⣻⣿⡟ ⠈⢸⠀⠀⡆⠈⢻⠀⠸⠀⢸⡇⠀⣟⣀⡇⠀⣿⡇⠀⢸⠷⢤⠀⠹⣿⠀⠀⣿⠀⠀⣤⡇⠀⢸⣿⠀⢸⣿⠀⠀⡇⢸⡀⠘⠀⡄⠀⠀⣿⠀⢸⡇⠀⠀⠀⢸⠷⢤⠀⠙⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾ ⢐⢼⢀⣀⣁⣀⣆⣀⣰⣀⣈⣇⣀⣿⣿⣇⣀⣿⣇⣀⣸⣄⠈⢀⣰⣿⣀⣀⣿⣀⣀⣉⣁⣀⣈⣹⣀⣈⣉⣀⣀⣧⣤⣇⣀⣠⡇⣀⢀⣿⣀⣸⣇⣀⣇⣀⣸⣄⠈⠀⣠⡏⡉⠿⠋⢿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⠐⠈⣉⠉⣛⣻⣿⠋⡉⢉⠩⠹⠛⠉⠉⢩⣿⡏⡮⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⣠⣽⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠈⣿⣿⣿⣿⣿⠿⠾⣿⣿⣿⣿⣿ ⣴⣶⣶⣶⣶⣶⣶⣶⡶⢲⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡖⣒⠀⢠⢖⣶⣶⣶⣶⣶⣶⣶⡶⠖⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠰⣶⣶⣶⣆⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣟⠛⠉⠈⠠⣀⣀⠀⠀⢀⣀⣠⠤⠖⠛⠉⠁⠀⠀⠈⠉⡟⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⡿⠟⢛⣯⣭⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⢁⠨⣉⣥⣰⢻⣿⣽⣿⣷⢘⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⣸⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣉⢀⣤⣶⡿⢁⣾⣿⣿⣿⣿⣿⣿⣿⡟⣫⣁⣤⡤⠶⢐⡪⢄⣳⣥⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⢀⣠⣤⣤⣴⣤⣴⠖⡏⠨⠽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠁⠀ ⣿⣿⣿⣿⣿⣿⣿⣯⡿⣱⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣟⣻⣽⣶⣭⣷⢿⣿⣿⣿⠟⠋⠀⠀⠀⠉⠉⠻⢿⣇⣴⣿⣿⣿⣿⣿⣿⡇⠀⡗⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣦⠀⠀⠀ ⢻⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠿⠿⢿⣿⣿⣿⣿⠀⠀⡇⣼⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⢰⡾⡿⢁⣿⡿⠿⠟⠀⠀⠀ ⢸⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⣿⣄⠀⠀⠀⠀⠀⢠⣄⠀⠀⠰⣶⣿⣿⣿⣿⡇⠀⡇⠘⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠗⠘⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡛⠋⠉⠀⠀⣿⡟⠁⠀⣄⠀⠀⠁⡈⣆⠀⠈⠿⠿⣿⣿⣿⡇⠀⣧⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠶⠀⢀⣠⣤⣠⡄⠰⠀⠀⣈⠁ ⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣛⡯⢝⣊⣭⣶⣾⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⣴⠆⠀⠀⠀⠀⠉⠻⣹⡅⠀⡏⡀⠁⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⣿⣿⣿⣇⠀⢠⡄⠐⠆ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣧⣿⣿⡿⠟⠋⠉⠋⠀⠉⠉⢩⣾⣿⣿⣿⣿⣟⣀⢠⣦⢀⠀⠀⣠⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠁⢰⢫⡁⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣦⣤⣭⣵⣿⣾⣶⣶⣶⣿⡗ ⢸⣽⣿⠿⠛⢟⢿⣿⣿⣿⠛⠛⠉⠀⠀⠀⠀⠀⠀⢠⠄⢰⣿⣿⣿⣿⣿⣿⣿⢿⣻⠝⡟⠂⠀⢠⣿⡇⠀⢀⡀⢀⠀⠀⠀⠀⢰⣵⣶⣿⣿⣧⣾⠖⠶⠤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇ ⠀⣿⣥⣂⣀⣿⣾⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡈⠋⠀⣠⠀⠀⠬⢩⣶⣶⣿⣿⣿⣳⣲⡾⢿⣿⣾⣿⣿⡟⢿⣻⠆⠠⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿ ⠀⠛⠛⠛⠛⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢧⡓⠀⢠⡇⠠⣲⣶⣮⣿⣿⣾⣿⣏⣿⣼⣿⣾⣿⣿⡿⢛⣛⣛⣿⠑⠄⠀⣘⣈⣬⣤⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠚⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣨⠓⠀⢨⣶⣿⣿⣟⣿⣿⣿⣷⣿⠿⠟⠛⠛⠉⠉⠉⢉⣉⣩⣿⣿⣾⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡌⠀⠀⢸⣿⠟⠛⠋⠉⠉⠀⠀⠀⢀⣀⣠⣤⣴⣶⣾⣿⠿⠿⠿⠟⠛⠛⠉⠉⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣀⣤⣶⣶⣾⣽⠶⢤⣤⣴⣦⡀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣩⣤⣤⣿⣥⣴⣶⣴⡶⢶⣾⠟⠛⠛⠛⠛⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⣴⣶⣤⣖⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢾⠏⢹⠇⠠⠤⠤⣄⠶⠀⣤⣿⠿⢯⣄⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠛⠉⠙⠀⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣦⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀ ⣽⣃⣽⣿⣾⣿⣿⣿⣶⣴⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⠯⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡇⣶⠄⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀ ⣬⣿⣿⣿⠿⠿⠟⠛⢿⣏⡿⢿⢿⣿⣻⣛⣫⣯⡫⠤⠖⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢶⣿⣷⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠇⠀⢈⣩⡉⣙⠛⠛⠋⠉⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⣀⠐⠒⠒⠢⣀⠔⠒⠒⡖⠒⠒⠒⠒⠒⠒⠒⡖⠒⢲⠞⠛⠛⢿⠒⠒⠒⠒⡒⠒⠒⡖⠒⢢⣠⠒⢂⣠⠒⠒⡄⠐⠒⢲⠒⠒⣶⠛⢻⠓⢺⡟⠛⣿⠛⢻⠟⠛⠓⢦⡞⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⠀⢸⠀⠀⠇⠀⣿⠀⢠⠀⢷⡆⠀⣶⠶⡆⠀⣶⡇⠀⢸⠀⠸⢤⣼⣶⠀⠀⣶⠀⠀⠶⡇⠀⢸⣿⠀⢸⣿⠀⠀⡇⢸⠀⢸⠀⠀⡏⠀⢸⠀⢸⡇⠀⠹⠀⢸⠀⠸⢤⣼⡇⠀⣿⣿⣿⣿⣯⣄⣽⣿⣻⣦⣒⣛⣻⣿⡟ ⠈⢸⠀⠀⡆⠈⢻⠀⠸⠀⢸⡇⠀⣿⣠⡇⠀⣿⡇⠀⢸⠷⢤⠀⠹⣿⠀⠀⣿⠀⠀⣤⡇⠀⢸⣿⠀⢸⣿⠀⠀⡇⢸⡀⠘⠀⡄⠀⠀⣿⠀⢸⡇⠀⠀⠀⢸⠷⢤⠀⠙⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢺⣀⣀⣁⣀⣇⣀⣰⣀⣈⣇⣀⣿⣿⣇⣀⣿⡇⣀⣸⣄⠈⢀⣰⣿⣀⣀⣿⣀⣀⣉⣥⣀⣈⣹⣀⣈⣩⣀⣀⣧⣤⣇⣀⣠⡇⣀⣀⣿⣀⣸⣇⣀⣇⣀⣸⣄⠈⠀⣠⣏⣉⡿⠋⢿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⠘⢈⣉⠉⢛⠻⣿⠋⡉⠩⠩⠝⠋⣡⠈⢩⣿⡏⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢉⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠈⣿⣿⣿⣿⣿⠿⡾⣿⣿⣿⣿⣿ ⣴⣶⣶⣶⣶⣶⣶⣶⡶⢲⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠖⣒⠀⡠⢦⣶⣶⣶⣶⣶⣶⣶⣶⠶⠒⠂⠀⠠⣀⣀⠴⠖⠒⠀⠀⠐⠲⠶⣆⢲⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⠛⣫⢷⣞⣿⣿⡷⠐⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢰⡆⣼⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢟⣫⣭⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠋⢁⣍⢹⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⢀⣄⣀⣀⡀⣠⠼⡇⢻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀ ⢿⣿⣿⣿⣿⣿⣿⣿⣟⡉⢁⣤⣶⡿⢩⣾⣿⣿⣿⣿⣿⣿⣿⡿⠻⣉⣠⡤⣶⢖⡫⠭⣚⣳⡟⠋⠀⠀⠀⠁⠙⣿⣿⣇⣤⣦⣿⣿⣟⡁⠀⠀⡇⣈⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀ ⣾⣿⣿⣿⣿⣿⣿⣯⡟⢱⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣻⣿⣓⣯⣷⣾⣿⣿⣾⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣿⣿⣿⣿⣿⣿⠀⠀⡗⢵⡊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⡄⠀⠀⠀ ⢻⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⣀⠀⢠⣿⣿⣿⣿⣿⣿⠀⠀⡇⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⢰⣶⡟⢀⣿⣿⠿⠟⠀⠀⠀ ⢸⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡿⠿⢷⠀⢀⠀⠠⠘⡉⢃⠸⡿⠛⠋⣸⣿⣿⠀⠀⢣⠰⢛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠧⠜⠛⠁⠈⠁⠀⠀⠀⠀⠀⠀ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣟⣿⣿⣿⠂⠀⠀⠀⠈⠀⠀⠀⣬⡄⠀⠀⠰⣿⣿⣿⣿⡄⠀⢸⠀⢠⠤⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⡶⠄⠀⣠⣄⣀⠀⠠⠀⠀⣈⠃ ⢹⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣟⡻⠝⣓⣩⣵⠿⠟⠉⠁⣀⣀⣠⣤⠀⠀⢁⠀⠈⠀⠀⠀⠈⠁⠘⣿⣿⡇⠀⣼⡄⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢾⣿⣿⣿⣇⠀⢠⠀⠰⠆ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣧⣿⣿⡿⠟⠛⠉⠉⠉⠊⠛⢩⣶⣿⣿⣿⣿⣇⡀⠀⠀⣿⣿⣿⡇⠀⠂⠐⠚⠀⠀⠀⠀⠀⠀⠈⠻⠿⣇⠀⡟⢀⠹⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣆⣀⣮⣽⣯⣿⣶⣾⣶⣶⡆ ⢸⣽⣿⠿⢿⡿⣿⣿⣿⡿⠟⠛⠉⠁⠀⠀⠀⠀⠀⣀⠄⣰⣾⣿⣿⣿⣿⣿⣿⠉⠣⠀⣰⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⣲⣶⣾⣭⣐⡿⠛⠲⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇ ⠀⣿⣥⠄⣰⣗⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⣠⣷⣾⣿⣿⣿⣿⣿⣿⣿⡏⠈⠀⢀⠇⠀⠀⠀⢠⣤⣾⣿⣿⡟⢀⢰⡶⣶⡇⣿⣯⣿⠙⣟⢷⠀⠂⠶⡄⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿ ⠸⠿⠟⠛⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⣼⣠⣤⣤⣶⣼⣯⣽⣽⣿⡟⣋⣸⣧⣾⣿⣷⠶⠻⢖⣞⡇⠑⣀⠀⠀⣈⣃⣠⣤⣤⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⡿⠯⠝⠛⠘⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣈⠒⠀⢹⣿⣿⣿⢿⣿⣟⣿⣭⣿⡿⠿⠿⠟⠛⠛⠛⠚⢛⣻⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡁⠀⠀⣽⣿⡿⠿⠟⠛⠉⠉⠉⠀⠀⢀⣀⣀⣤⣴⣶⣿⣿⣿⠿⠿⠟⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣤⣤⣴⣾⣭⠦⣄⣠⣤⣄⡀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣙⣋⣠⣤⣿⣥⣤⣤⣤⣤⡶⠶⠟⠻⠟⠛⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⢀⣤⣤⣄⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢾⠋⢹⠏⠀⠤⠤⣀⢤⢀⣠⡿⢷⣧⣄⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠛⠛⠙⠓⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀ ⣽⣉⣿⣷⣶⣿⣿⣷⣦⣼⣿⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣯⡟⠍⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⢇⣤⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀ ⣩⣾⣿⣿⡿⠿⠿⡟⢻⣛⣿⠿⣿⣿⣟⣛⣯⣫⣋⣭⠣⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣧⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠐⠐⠛⠉⠉⠉⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠃⠈⠙⢉⡛⡻⠿⠟⠛⠉⠁⢿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⢀⠒⠒⠒⠢⣀⠔⠒⠒⡖⠒⠒⠒⠒⠒⠒⠒⡖⠒⢲⠞⠛⠛⢿⠒⠒⠒⠒⡒⠒⠒⡖⠒⢢⣠⠒⢂⣤⠒⠒⡄⠐⠒⢲⠒⠒⣶⠛⢻⠓⢲⡟⠛⣿⠛⢻⠟⠛⠓⢤⡟⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⠀⢸⠀⠀⠇⠀⣿⠀⢠⠀⢷⡆⠀⣶⠶⡆⠀⣶⡇⠀⢸⠀⠸⢤⣼⣶⠀⠀⣶⠁⠀⠶⡇⠀⢸⣿⠀⢸⣿⠀⠀⡇⢸⠀⢸⠀⠀⡏⠀⢸⠀⢸⡇⠀⠹⠀⢸⠀⠸⢤⣼⡇⠀⣿⣿⣿⣿⣯⣌⣽⣿⣻⣦⣒⣛⣻⣿⡿ ⠈⢸⠀⠀⡆⠈⢻⠀⠸⠀⢸⡇⠀⣿⣰⡇⠀⣿⡇⠀⢸⠷⢤⠀⠹⣿⠀⠀⣿⠀⠀⣤⡇⠀⢸⣿⠀⢸⣿⠀⠀⡇⢸⡀⠘⠀⡄⠀⠀⣿⠀⢸⡇⠀⠀⠀⢸⠷⢤⠀⠙⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢺⣀⣀⣁⣀⣆⣀⣰⣀⣈⣇⣀⣿⣿⣇⣀⣿⣇⣀⣸⣄⠈⢀⣰⣿⣀⣀⣿⣀⣀⣉⣁⣀⣈⣹⣀⣈⣩⣀⣀⣧⣤⣇⣀⣠⣇⣀⢀⣿⣀⣸⣇⣀⣇⣀⣸⣄⠈⠀⣠⣏⡉⡿⠉⢿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⠘⢀⣉⠉⣛⡻⣿⢉⡉⠉⠩⠝⠛⣍⠈⣩⣿⠇⡎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢉⣤⣼⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠈⣿⣿⣿⣿⣿⠿⠾⣿⣿⣿⣿⣿ ⣶⣶⣶⣶⣶⣶⣶⣶⡶⢶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠲⡖⠀⣐⢖⣤⣤⣴⣶⣶⣶⣶⡶⣶⣶⣒⣢⠤⠐⠒⠀⠀⠀⠀⠀⠐⠒⠖⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⣿⣿⣿⣿⣿⣿⣿⣦⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⣿⣶⣷⣿⣿⣿⣿⣿⢿⣿⣿⣷⣿⣿⣯⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣦⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣛⣋⣩⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠋⣿⣿⣿⡿⠿⠛⠛⠛⠛⢿⣿⣦⡀⣀⣀⣀⠄⠀⠒⠘⡟⡻⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⢉⣡⣤⡞⢉⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⠋⣉⣠⡤⠤⢜⣽⡟⠋⠀⠀⠀⠀⠀⠀⠀⣙⡿⠿⠟⠋⢡⣤⡄⠀⠀⣧⣛⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠐⠀ ⣼⣿⣿⣿⣿⣿⣿⣛⡟⢱⣬⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡾⢿⣿⢼⣓⣯⣶⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠐⣿⣧⠀⠀⡟⣸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀ ⢿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠷⠾⠿⠿⠿⣦⡀⠀⢀⠀⢀⡴⣆⠀⠀⠀⠀⢠⣿⣿⠀⠀⢣⠹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣤⣴⡶⢸⣿⣿⣿⡷⠀⠀⠀ ⢸⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠈⠁⠀⠇⠀⠀⠑⢜⠀⠀⠀⣤⣾⣿⣿⡆⠀⢸⠈⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠿⠞⠃⠙⠉⠉⠀⠀⠀⠀⠀ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠶⠖⠀⣀⡀⠀⠀⢠⡀⠄⢀⠘⠋⠁⠊⣻⡿⢿⣿⣿⡇⠀⢸⡀⠰⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢦⣤⠀⠀⢀⡀⠀⠀⡀⠀⠀⠒⡆ ⢹⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣟⠿⠝⣓⣭⡅⠀⠀⣿⣿⣿⡟⠳⣵⣶⣦⡶⠖⠚⠉⠀⠀⠀⡟⡿⡇⠀⢸⣣⠸⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⠀⠃⢀⠀⢩⡔ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣺⣿⣿⣿⡿⠟⠛⠛⠋⠗⠞⣛⣵⣶⣿⣿⣿⡇⠀⠀⣿⠀⠀⠅⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⢸⠡⠌⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡄⠈⣟⣻⣟⣿⣤⣼⣤⣬⡆ ⢸⣿⣿⣿⢿⣿⣿⣿⣿⣿⠿⠟⠛⠋⠉⠀⠀⠀⠀⢀⠀⣠⣶⣿⣿⣿⣿⣿⣿⠹⠄⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢶⡤⣤⣀⣀⠸⡖⠓⠚⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇ ⠈⣿⡉⠄⢰⣧⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⢠⣯⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⡼⠀⠀⠀⠀⣀⣠⣶⣶⣶⠆⠠⣤⣤⣼⣹⣿⣻⡗⢿⡿⠖⠐⠸⠧⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⡿⠿⠾⠿⠛⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⢠⠇⣀⣀⡠⣤⣿⣛⣿⣿⣿⢶⠏⣿⣨⣿⣿⣿⡽⢷⠶⢳⡔⢂⣀⠀⠀⠀⡇⣀⣀⣀⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠉⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠘⠀⠘⣿⣿⣼⣿⣿⣿⠿⠟⣻⣿⣾⣿⣿⡿⠿⠿⠿⠶⠶⢟⣿⣮⣤⣿⣾⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠋⠉⠉⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠃⠀⢀⣿⣿⣯⣵⡷⠶⠛⠛⠋⠉⠁⠀⠀⠀⣀⣠⣤⣶⣾⣿⣿⣿⠿⠿⠿⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣀⣀⣠⣝⣛⣄⡀⣀⣀⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠓⣀⣸⣟⣉⣀⢀⣀⣀⣠⣤⡤⣴⢶⠾⠛⠟⠛⠛⠉⠉⠁⠀⠀⠀⠀⣀⣀⣀⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⠛⢻⠋⠉⣉⣉⠉⣄⢉⣩⣿⣯⣆⡀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠟⠻⠍⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣯⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀ ⣲⠒⣿⣦⣴⣶⣶⣯⣄⣼⣿⣧⣬⣿⣷⣾⣿⣿⣿⣿⣿⣿⣟⣛⡛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⡄⣄⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀ ⣘⣼⣿⣿⣿⣿⣿⡿⣿⠟⣿⣿⣿⣿⡿⠿⡟⡟⣟⣯⣩⡭⠩⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⡆⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠉⠉⠉⠉⠁⠀⠀⠀⠉⠉⠁⠽⠞⠛⠛⠋⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠋⠙⠛⠛⠿⠿⢿⠿⠟⠛⠋⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⠒⠛⠓⠢⣀⠔⠛⠒⡖⠒⠒⠒⠒⠒⠒⠒⡖⠒⢠⠞⠛⠛⢷⠒⠒⠒⠒⡒⠒⠒⡖⠒⢢⣠⠒⢒⣤⠒⠒⡄⢐⠒⢲⠒⠒⣾⠛⢻⠓⢲⡟⠛⣿⠛⢲⠖⠛⠓⢦⡟⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⠈⢸⠀⠀⠇⠀⣿⠀⢠⠀⢷⡆⠀⣶⢶⡆⠀⣶⡇⠀⢸⠀⠸⢤⣼⣶⠀⠀⣶⠁⠀⠶⡇⠀⢸⣿⠀⢸⣿⠀⠀⡇⢸⠀⢸⠀⠀⡏⠀⢸⠀⢸⡇⠀⠹⠀⢸⠀⠸⢤⣼⡇⠀⣿⣿⣿⣿⣯⣌⣽⣿⣻⣦⣒⣛⣻⣿⡿ ⠀⢸⠀⠀⡆⠈⢻⠀⠸⠀⢸⡇⠀⣿⢠⡇⠀⣿⡇⠀⢸⠷⢤⠀⠹⣿⠀⠀⣿⠀⠀⣤⡇⠀⢸⣿⠀⢸⣿⠀⠀⡇⢸⡀⠘⠀⡄⠀⠀⣿⠀⢸⡇⠀⠀⠀⢸⠷⢤⠀⠙⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢼⠀⣀⣁⣀⣇⣀⣰⣀⣘⣇⣀⣿⣿⣇⣀⣿⣇⣀⣸⣄⠈⢀⣰⣿⣀⣀⣿⣀⣀⣉⣁⣀⣈⣹⣀⣈⣉⣀⣀⣇⣀⣇⣀⣠⡇⣀⣀⣿⣀⣸⣇⣀⣇⣀⣸⣄⠈⠀⣠⡏⠉⣿⠋⢿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⠀⠀⣀⠉⠹⣿⡿⢛⠋⣉⠉⡿⠟⡉⠙⣋⣿⠇⠍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⣀⣭⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣦⣽⣷⡄⠀⠈⣿⣿⣿⣿⣿⠿⡾⣿⣿⣿⣿⣿ ⣲⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡖⠐⢰⡶⡶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠶⠖⠂⠀⠀⠀⠀⠀⠀⠀⠂⢆⣶⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣿⣿⣿⣿⣿⣿⣿⣁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣧⣄⣯⣾⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣶⣶⡴⠐⠲⠦⠀⠀⠀⠀⢸⡿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⢋⣹⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⡿⣿⣿⡿⡟⠋⠉⠉⠉⠉⠙⠟⠁⠀⠀⠀⠀⠀⠀⠀⠸⡏⠽⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⢉⣠⡶⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⣉⣠⣨⣿⣛⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣆⠀⠀⣧⢿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀ ⣻⣿⣿⣿⣿⣿⣿⠿⡷⢢⣸⣿⣿⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣧⣶⣶⣯⡙⠁⠉⠈⠉⠉⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⣿⢸⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣵⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠠⡀⠀⠀⠀⠀⣾⣿⡀⠀⢸⠸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⢰⣶⣾⣿⣆⠀⠀⠀ ⢸⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⣸⡔⢄⢦⣩⣷⣦⣄⣠⣾⣿⣿⡇⠀⢸⡈⠻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⣿⡹⠃⠾⠛⠛⠉⠁⠀⠀⠀ ⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠷⢄⣄⣀⢸⣿⣻⣡⣞⣉⣉⣿⡿⠿⠛⠿⠛⠃⠀⠘⡇⡠⠟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣉⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡄ ⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⡻⠯⣓⡂⠀⠀⠀⠀⠉⠸⣿⣿⡿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⣟⣿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⢀⣴⣾⣶⣶⠀⠃⠀⠀⢐⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⢹⣿⣿⣿⣿⡿⠿⠿⠛⡯⡽⠾⣫⣤⣶⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣷⣿⣿⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡉⢙⡿⢿⠿⣆⠀⣱⣀⣑⡅ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⠿⠛⠛⠉⠀⠀⠀⠀⠀⣀⣤⣿⣿⣿⣿⣿⣿⠀⢀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⣀⣀⣀⠀⢸⣷⡛⠛⠛⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣇ ⢸⡿⢋⠁⢨⣏⣿⣿⣿⣯⣄⠀⠀⠀⠀⠀⠀⠀⢠⣞⣤⣿⣿⣿⣿⣿⣿⣿⡇⠀⢰⠇⠀⠀⠀⠀⣀⣠⣤⣤⡄⠀⣀⣀⣠⡟⣿⣾⣏⢿⡾⡧⠀⠀⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⢸⣿⣷⣶⣾⠿⠿⠿⠟⠛⠛⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⡸⢀⠀⢀⣀⢾⡿⡿⣟⣻⣧⠴⢚⠏⣿⣿⣟⣛⣿⣤⡽⡄⠦⣀⣀⠀⠀⠄⠀⠀⠀⠀⣀⣀⣠⣤⣼⣿⣿⣿⣿⣿⣿⡿⣿⣿⠻⠋ ⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡿⣿⡟⠠⠀⢷⣾⣯⣶⣾⣾⣿⣿⠿⣿⣇⣶⣬⣾⣿⣿⣿⣭⣤⣶⠶⠷⣚⣙⣿⣯⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠛⠋⠉⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠂⠀⢿⣿⣇⣛⣻⣭⣵⡷⠾⠟⠛⠋⠉⠉⠀⠀⠀⣀⣠⣤⣶⣾⣿⣿⣿⣿⠿⠿⠟⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⡳⢆⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⠆⠀⣽⠟⠋⠉⠁⠀⠀⠀⢀⣀⣀⣀⣤⣤⣶⠶⠟⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⠶⣾⠛⠛⠛⠛⠛⡉⠛⢛⣿⣗⠄⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣿⣷⠶⢶⡒⠚⠛⠋⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣧⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀ ⠭⢠⣾⣄⣤⣭⣽⣞⠁⣰⣿⣏⣍⣿⣦⣼⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣟⣿⣿⣿⡀⡀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀ ⢸⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢛⡛⣛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⡀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠛⠛⠛⠋⠉⠉⠉⠈⠙⣒⠹⣿⠽⠿⠾⠟⠛⠒⠒⠉⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠏⠻⣿⣿⣿⣿⣿⣿⣿⡿⠟⣿⣿⣇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢠⠚⠛⠛⠳⣄⠟⠛⠛⡟⠛⠛⠛⠒⠒⠒⠒⡖⠒⢰⠞⠛⠛⢷⠒⠒⠒⠒⡒⠒⠒⡖⠒⢢⣠⠒⢒⣤⠒⠒⡄⡐⠒⢲⠒⠒⣶⠛⢻⠓⢲⡟⠛⣿⠛⢻⠟⠛⠛⢶⡟⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⠀⢸⠀⠀⠇⠀⣿⠀⢠⠀⢷⡆⠀⣶⢶⡆⠀⣶⡇⠀⢸⠀⠸⢤⣼⣶⠀⠀⣶⠁⠀⠶⡇⠀⢸⣿⠀⢸⣿⠀⠀⡇⢸⠀⢸⠀⠀⡏⠀⢸⠀⢸⡇⠀⠹⠀⢸⠀⠸⢤⣼⡇⠀⣿⣿⣿⣿⣯⣌⣽⣿⣻⣦⣒⣛⣻⣿⡿ ⠀⢸⠀⠀⡆⠈⢻⠀⠸⠀⢸⡇⠀⣿⢨⡇⠀⣿⡇⠀⢸⠷⢤⠀⠹⣿⠀⠀⣿⠀⠀⣤⡇⠀⢸⣿⠀⢸⣿⠀⠀⡇⢸⡀⠘⠀⡄⠀⠀⣿⠀⢸⡇⠀⠀⠀⢸⠷⢤⠀⠙⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢸⢀⣀⣁⣀⣇⣀⣰⣀⣈⣇⣀⣿⣾⣇⣀⣿⣇⣀⣸⣀⠈⢀⣰⣿⣀⠀⡿⢀⣀⣉⣁⣀⣈⢹⢀⣈⢉⣀⠀⠇⠀⠇⣀⣠⣇⣀⣀⣿⣀⣸⣇⣀⣇⣀⣸⣄⠈⢀⣠⡏⢉⣿⠋⢿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⠀⠀⠀⠉⣩⣭⡽⠟⠛⠛⠻⢿⠿⠛⠻⢋⣿⠇⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠉⠉⠀⡉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⣀⣀⣈⠉⠀⠈⣿⣿⣿⣿⣿⢿⡾⣿⣿⣿⣿⣿ ⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣖⣶⣠⣤⣶⣶⣶⣦⣤⣤⣖⢶⣶⡴⠖⠒⠀⢴⡦⣄⡀⠀⠐⠂⢶⣶⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣿⣿⣿⣿⣿⣿⣿⠟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⣇⠀⡼⣋⣶⣶⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⡄⠀⠀⠀⠀⠀⠀⢸⢻⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⡿⢟⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⡿⢻⠟⠋⠉⠉⠉⠙⠿⠋⠀⠀⠀⠀⠀⠀⠀⢸⡛⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⣻⣭⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠿⡛⣥⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⣻⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⡀ ⢿⣿⣿⣿⣿⣿⣿⣿⣭⡅⢠⣶⣾⠟⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⢉⣓⣤⡶⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀ ⣾⣿⣿⣿⣿⣿⣿⣷⢏⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣷⣮⣵⣦⠀⠀⠀⠀⠀⠀⢀⠀⡠⣰⣄⠀⠀⠀⠀⠀⠀⠀⠀⢻⠸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⡀⠀⠀⠀ ⢹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠀⠀⠀⠀⠀⣰⣷⢯⢮⣻⣿⣷⣤⣀⡀⠀⠀⠀⠀⢸⠈⠻⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡄⣶⢾⠟⣸⣿⡿⠿⠃⠀⠀⠀ ⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠸⣿⣿⣮⣕⠛⣛⣻⣿⡿⠿⠀⠀⠀⠀⠘⡇⣠⡗⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠦⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣟⠛⢃⠀⠀⠀⠀⣿⣿⣿⡿⠟⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⡟⣿⣯⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠓⡦⠀⢀⣠⣀⣀⠀⡄⠀⠀⢙⡅ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣻⠭⢓⣩⣥⣶⡆⢸⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⢿⣿⣿⣿⡀⠀⣄⠀⠴⠇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣼⣿⡿⠿⠛⠉⠉⠉⠀⠉⠉⣥⣾⣿⣿⣿⣿⢁⢸⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣟⡿⠿⠿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⣀⣀⣯⣽⣭⣷⣶⣿⣶⣶⣇ ⢸⣿⡿⠟⠿⡿⣿⣿⣿⣟⠛⠋⠁⠀⡀⠀⠀⠀⠀⡠⠀⣼⣿⣿⣿⣿⣿⣿⡟⠀⡾⠀⠀⠀⠀⠀⠀⡀⠀⡀⠀⠀⠀⠀⡯⣽⣷⡖⡶⢊⣟⠃⡄⢒⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧ ⢰⣷⣖⣀⣸⣷⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢀⠇⠀⠀⠀⢠⣴⣾⣿⡿⠗⣐⣲⡽⣇⡷⣿⣿⣿⠈⣯⡉⣀⡀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿ ⠘⠛⠛⠋⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⢠⣦⢒⣒⣮⣏⣭⣴⣾⡗⠈⡸⣡⣾⣿⣿⠙⠛⣛⣣⣷⣬⠺⣿⣶⣆⣀⣁⣆⣤⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⣟⣿⠿⠻⠟⠛⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣯⣿⡇⡈⢠⣾⣿⢻⡷⠿⠟⣓⣫⣽⣷⡿⠿⠿⠛⠛⠛⠛⠋⠉⠉⢁⣠⣶⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠟⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢡⡀⢨⣿⣿⠶⠾⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⢀⣀⣠⣤⡶⠾⠿⠿⠿⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣠⣶⣶⣾⣾⡶⠦⢤⣴⣶⣄⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣈⣁⣤⣭⣀⣀⣀⣀⣠⣤⡤⠴⠶⠶⠖⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀ ⠿⡉⣹⠀⠠⠤⢠⡠⠆⢀⣴⡟⠷⣤⡀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣧⣤⣤⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀ ⢨⣸⣿⣷⣿⣿⣿⣷⣦⣾⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠝⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⢳⣦⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣼⣾⣿⠿⠿⠿⠛⠻⣿⣋⠿⣿⣿⣿⣿⣻⣿⣽⣽⠷⠮⠅⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣆⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢠⠒⠛⠛⠳⣶⡟⠛⠛⡟⠛⠛⠛⠛⠛⠛⠛⡟⠛⢠⠖⠒⠒⢶⠒⠒⠒⠒⠒⠒⠒⡖⠒⢢⣠⠒⢒⣤⠒⠒⡄⡐⠒⢲⠒⠒⣶⠛⢻⠛⢛⡟⠛⣿⠛⢻⠟⠛⠛⢿⡟⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⢀⢸⠀⠀⠇⠀⣿⠀⢠⠀⢷⡆⠀⣶⢶⡆⠀⣶⡇⠀⢸⠀⠸⢤⣼⣶⠀⠀⣶⠁⠀⠶⡇⠀⢸⣿⠀⢸⣿⠀⠀⡇⢹⠀⢸⠀⠀⡏⠀⢸⠀⢸⡇⠀⠹⠀⢸⠀⠸⢤⣼⡇⠀⣿⣿⣿⣿⣯⣌⣽⣿⣻⣦⣒⣛⣻⣿⡿ ⠀⢸⠀⠀⡆⠈⢻⠀⠸⠀⢸⡇⠀⣿⠘⡇⠀⣿⡇⠀⢸⠷⢤⠀⠙⣿⠀⠀⣿⠀⠀⣤⡇⠀⢸⣿⠀⢸⣿⠀⠀⡇⠸⡀⠘⠀⡄⠀⠀⣿⠀⢸⡇⠀⠀⠀⢸⠷⢤⠀⠙⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢸⡀⣀⣁⣀⡇⣀⣰⣀⣈⣇⣀⣿⣸⣇⣀⣿⣇⣀⣸⣀⠈⢀⣰⣿⣀⣀⡿⠀⣀⡉⣁⣀⣈⢹⢀⣈⢉⡀⡀⠇⠀⠇⣀⢠⡇⣀⣀⣿⣀⣸⣇⣀⣇⣀⣸⣄⠈⢀⣠⡏⣉⣿⡏⢿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⠀⠀⠀⠉⠁⠀⢈⣉⣉⣩⣭⣟⣛⣛⣿⣿⣿⡏⠉⣻⣿⣟⣿⣯⣍⣿⣍⣈⣠⣀⣩⣥⣤⣬⣥⣤⣤⣭⣤⣤⣤⣤⣤⣤⠍⠀⠀⠈⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠙⠿⠀⠈⣿⣿⣿⣿⣿⠿⠾⣿⣿⣿⣿⣿ ⣶⣶⣶⣶⣶⣶⣶⣶⣶⣖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡀⠀⠀⣀⣀⣐⡀⠂⠀⢰⣤⣖⠶⠒⠂⠀⠀⠀⠀⠀⠐⣶⣶⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡧⠛⠷⣿⣛⣛⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⣿⣿⣿⣿⣿⣿⣿⣅⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣤⣧⣤⣯⣽⣿⣿⢟⣿⠿⠿⠿⣿⣿⣿⣶⠄⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡟⣋⣡⣿⣿⣷⣿⣿⣿⣶⣿⣿⣿⣿⡿⠁⠈⠁⠀⠀⠀⠀⠌⠋⠁⠀⠀⠀⠀⠀⠀⠀⢻⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⢉⣠⡶⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⢸⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣆⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠢⠂⠂ ⣽⣿⣿⣿⣿⣿⣿⣟⡿⢣⣬⣿⣿⣧⣾⣿⣿⣿⣿⣿⣿⢿⣿⣮⣼⡶⣞⡱⠽⣿⠀⢀⡷⠂⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣿⣿⣿⣿⣿⣿⣿⣴⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣿⣿⣿⡆⠨⠁⠀⢀⣮⡷⡹⣞⣿⣦⣀⠀⠀⠀⠀⠀⠀⣿⣿⣻⣽⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⢰⣶⣿⣿⣆⠀⠀⠀ ⢸⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠅⠀⠀⠠⣾⣿⣝⣼⣾⠿⣿⣿⣷⣦⠀⠀⠀⠀⢸⣻⣽⡶⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⣿⡽⠃⠚⠛⠋⠉⠀⠀⠀⠀ ⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣷⣿⣦⡾⠿⠛⠋⠉⠀⠀⠀⠀⢸⣾⣿⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣉⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡄ ⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⡛⠯⣙⡪⡀⠀⠀⠀⠘⠿⠛⠉⠀⠀⠀⢠⡴⠀⠀⠀⠀⠀⢸⣼⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⢀⣵⣾⣶⣶⠀⠃⠀⠀⢀⡇ ⢸⣿⣿⣿⣿⣿⣿⣯⣽⣶⣿⣻⢼⣿⣿⣿⣿⡿⠿⠿⠛⡯⠽⠞⣩⣴⣶⣿⣿⡇⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠈⠙⡻⢿⠿⢎⠀⣴⣀⣉⡁ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠋⠉⠀⠀⠀⠀⠀⣠⣤⣾⣿⣿⣿⣿⣿⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠤⣤⣀⣀⣀⢸⡾⡋⡡⣠⣌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢘⣿⢋⡁⢨⣇⣿⣿⣿⣷⣄⡀⠀⠀⠂⠀⠀⠀⢠⣾⣤⣿⣿⣿⣿⣿⣿⣿⡏⡼⠃⠀⠀⠀⢀⣤⣦⣤⡄⢀⡀⣤⢸⢸⢿⢻⡔⢷⡿⡗⠊⠓⠉⢽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⢸⣿⣷⣶⠾⠿⠿⠟⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⡇⡄⢀⣀⣸⡿⠿⣿⣻⣭⡴⠒⠉⣿⣼⡻⣿⣥⣤⡷⡿⣷⣷⣶⣶⣇⠀⠀⠐⠃⠀⠀⠀⣀⣀⣠⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⢿⡛⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡿⣿⡟⠀⣗⣽⣵⡞⣾⣆⢋⢿⡿⣀⣥⡵⢾⣿⣿⣿⣩⡤⠶⠾⠗⠛⠛⢛⣯⣯⣶⣶⣶⣿⣾⣿⣿⣿⣿⣿⣿⢿⠿⠿⠟⠛⠓⠋⠁⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣙⣛⣫⣥⣵⠶⠿⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⠿⠿⠟⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣀⣐⣿⣂⡀⠀⠀⣀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⠀⢿⡿⠋⠉⠁⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⠴⠶⠒⠛⠛⠉⠉⠉⠁⠀⢀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀ ⣠⠶⢿⠛⠛⠛⢛⠛⡉⠛⢛⣿⣕⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣿⣤⠤⠤⠴⠒⠒⠚⠋⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣿⣿⣿⣶⡤⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣶⣤⣀ ⠯⠲⣾⣄⣬⣭⣴⣏⠉⣸⣿⣇⣉⣿⣦⣼⣿⣿⣿⣿⣿⣿⡿⡿⠻⠟⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣻⣶⣿⡀⡀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣾⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣽⢿⣛⠒⡋⣉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⡄⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠛⢻⠛⠛⠛⠻⣶⡟⠛⠛⡟⠛⠛⠛⠛⠛⠛⠛⡟⠛⢻⠟⠛⠓⢶⠒⠒⠒⠒⡒⠒⠒⡖⠒⢢⣤⠒⢂⣤⠒⠒⡄⡀⠒⢲⠒⠒⣶⠒⢻⠛⢻⡟⠛⣿⠛⢻⠟⠛⠛⢿⡟⠛⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⠀⢸⠀⠀⠇⠀⣿⠀⢠⠀⢷⡆⠀⣶⠲⡆⠀⣶⡇⠀⢸⠀⠸⢤⣼⢶⠀⠀⣶⠁⠀⠶⡇⠀⢸⣿⠀⢸⣿⠀⠀⡇⢻⠀⢸⠀⠀⡏⠀⢸⠀⢸⡇⠀⠹⠀⢸⠀⠸⢤⣼⡇⠀⣿⣿⣿⣿⣯⣌⣽⣿⣻⣦⣒⣛⣻⣿⡿ ⠀⢸⠀⠀⡆⠈⢻⠀⠸⠀⢸⡇⠀⣿⢼⡇⠀⣿⡇⠀⢸⠷⢤⠀⠹⣿⠀⠀⣿⠀⠀⣤⡇⠀⢸⣿⠀⢸⣿⠀⠀⡇⠸⡀⠘⠀⡄⠀⠀⣿⠀⢸⡇⠀⠀⠀⢸⠷⢤⠀⠙⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠸⡀⣀⣁⣀⡆⣀⣰⣀⡈⣇⡀⡿⠈⡇⠀⣿⡇⣀⣸⣄⠈⢀⣰⢿⣀⠀⠿⠀⣀⡉⣁⣀⣈⢹⢀⣈⢉⡀⠀⠇⠀⠇⣀⢠⡇⣀⣀⣿⣀⣸⣇⣀⣇⣀⣸⣄⠈⢀⣠⣏⣉⣿⡏⢿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⠀⠀⠀⠉⠀⠀⠀⠀⣈⠉⠙⡿⣙⣰⣶⣾⣏⡽⠿⢹⣿⡟⣿⠏⢹⢀⠉⠉⠀⠀⠉⠁⠀⠈⠁⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠉⠹⣿⠇⠈⣿⣿⣿⣿⣿⠿⠾⣿⣿⣿⣿⣿ ⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⢀⡶⠔⠂⠀⠀⠀⠀⠀⠐⣶⣶⣶⠶⣖⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣆⣤⣶⣿⣿⣶⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡟⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣹⣀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⡿⠙⠛⠋⠉⠉⠉⠻⠿⠏⠀⠀⠀⠀⠀⠀⠀⠸⡿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⢋⣭⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠁⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣽⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡥⡠⣴⣿⣿⣂⣾⣿⣿⣿⣿⣿⣿⣿⣛⣭⣡⣤⣺⣷⣄⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣷⡮⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣿⡉⠀⠀⢠⣄⡠⢒⢿⣦⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⣿⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣆⠀⠀⠀ ⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠐⠠⣄⣿⡿⢔⢮⣿⣿⣿⣦⣄⣤⠀⠀⠀⠸⣿⣟⣿⣽⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡄⢰⣿⡟⢡⣿⡿⠿⠛⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠘⣿⣷⣲⠞⢋⣹⣿⡿⠟⠛⠀⠀⠀⠀⣿⣿⣿⣷⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠇⠘⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⠀⠀⠀⠀⠚⣽⣿⠿⠛⠉⠁⢀⡀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠳⠶⠄⠀⣠⣄⣠⡀⠠⠀⠀⣉⡗ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⠿⣟⣻⡭⢓⣈⣥⣶⡇⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠊⠁⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣅⠂⢠⠀⠠⠎ ⢸⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣯⣵⣿⠿⠟⠛⠉⠁⠀⠀⠉⠉⣡⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠟⢛⢁⡑⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠐⣆⣀⣬⣽⣯⣿⣤⣾⣶⣶⣖ ⠸⣿⡿⠟⠫⣿⢻⣿⣿⣿⡛⠉⠁⠀⠀⠀⠀⠀⠀⣠⠆⣸⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣿⣒⣲⣲⢂⣿⣥⠰⠮⠿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏ ⢈⣿⣶⣁⣬⣯⣿⣿⣿⣿⠿⠆⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⠀⠀⣠⣴⣿⣿⣿⠤⠄⡒⣆⣇⣭⣧⣿⠈⢫⣹⣧⣴⣄⣡⣼⣇⠀⠀⠀⢠⡆⠀⠀⠀⠀⠀⠀⠀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿ ⠘⠛⠉⠉⠉⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣸⠤⢔⣛⡋⢭⣿⣶⠊⠋⣄⣸⣿⣿⡖⠆⠞⢛⣹⣿⣿⣿⣿⣿⣿⣤⣤⣄⣈⣮⣤⣤⣤⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⡿⠯⠝⠋⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣾⡟⢾⣿⢾⣿⣿⡇⠀⢛⣯⣴⣷⣿⡿⠿⠿⠷⠒⠛⠉⠉⠁⠀⠀⢀⣶⣶⣿⣿⣿⣿⣿⣿⡿⠿⠿⠟⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢴⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢸⣿⣤⡶⠶⠾⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⡴⠾⠿⠿⠟⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀ ⢀⣀⣰⣶⠶⠶⠶⠶⠒⠦⠴⣶⡦⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣨⣿⣿⠀⠀⠀⣀⣀⣠⡤⠤⠤⠶⠒⠚⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣷⣤⣀ ⣛⣃⣸⡁⢠⣐⣒⡤⠲⢀⣰⡿⠛⢷⣤⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⠛⠁⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣾⣿⣿⣿⣿⣿⣄⣠⠄⠀⠀⢀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣀⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣿⣿⣿⣿⣿⣿⣿⣟⡯⠿⠝⠍⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣶⡀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢴⣿⠛⠛⠛⠻⣿⡟⠛⠛⡟⠛⠛⠛⠛⠛⠛⠛⡟⠛⢻⠟⠛⠛⢿⠛⠛⠛⠒⡒⠒⠒⡖⠒⢢⣠⠒⢂⣤⠒⠒⡄⢀⠒⢲⠒⠒⣶⠒⢲⠛⢻⡟⠛⣿⠛⢻⠟⠛⠛⢿⡟⠛⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⠀⢸⠀⠀⠇⠀⣿⠀⢠⠀⢷⡆⠀⣶⠲⡆⠀⣶⡇⠀⢸⠀⠸⢤⣼⣶⠀⠀⣶⠁⠀⠶⡇⠀⢸⣿⠀⢸⣿⠀⠀⡇⢹⠀⢸⠀⠀⡏⠀⢸⠀⢸⡇⠀⠹⠀⢸⠀⠸⢤⣼⡇⠀⣿⣿⣿⣿⣯⣄⣽⣿⣻⣦⣒⣛⣻⣿⡟ ⠀⢸⠀⠀⡆⠈⢻⠀⠸⠀⢸⡇⠀⣧⢠⡇⠀⣿⡇⠀⢸⠷⢤⠀⠹⣿⠀⠀⣿⠀⠀⣤⡇⠀⢸⣿⠀⢸⣿⠀⠀⡇⢸⡀⠘⠀⡄⠀⠀⣿⠀⢸⡇⠀⠀⠀⢸⠷⢤⠀⠙⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠘⢀⣀⣁⣀⡆⣀⣰⢀⡘⣇⣀⣿⠙⣇⣀⡿⡇⣀⣸⣀⠈⢀⣠⣿⢀⠀⠿⠀⣀⡉⣁⢀⣈⢹⢀⣈⣉⣀⠀⠇⠀⠇⣀⢠⡇⣀⣀⣿⣀⣸⣇⣀⣇⣀⣸⣄⠈⢀⣠⣏⣉⣿⣟⢿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⠀⠀⠉⠉⠀⠀⠉⠉⠉⠉⣁⠈⠩⠁⠀⢈⡥⢤⣦⠉⣿⣿⢿⡟⠁⠈⠉⠁⠀⠀⠉⠁⠀⠈⠁⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⠿⠮⠻⣿⡟⠈⣿⣿⣿⣿⣿⠿⡾⣿⣿⣿⣿⣿ ⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣶⣴⣶⣖⠀⠀⠀⠀⠀⣀⡠⠀⠀⠀⠀⠀⠐⠀⢰⣶⣶⣶⣶⣶⣶⣶⣶⣶⣖⢖⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣄⣀⣠⣤⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⣽⡿⠿⠝⠈⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣾⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⠂⠀⠀⠑⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢙⣿⣿⣿⣿⣿⣿⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠘⣻⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢛⣫⣭⣤⣾⣿⣿⣿⣿⣿⣿⣿⡻⠛⠛⠙⠛⠛⠻⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣟⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣹⣿⣿⣿⣿⣿⣿⣿⣿⣛⡉⣀⣴⣶⠯⢩⣿⣿⣿⣿⣿⣿⣿⣿⠟⣻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠊⠂ ⣿⣿⣿⣿⣿⣿⣿⣿⣭⡋⣼⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣟⣿⣿⣷⣟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀ ⢿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⣀⡤⠀⠘⠧⡀⠀⠀⠀⢀⠀⠀⠀⢻⣿⣻⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⢠⣤⣶⠖⣿⣿⣿⡿⠆⠀⠀ ⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⢠⣿⡋⠀⠀⢀⠧⠀⠀⠀⢨⣣⡄⠀⢸⣹⣿⡿⣧⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠸⠷⠋⠈⠋⠉⠀⠀⠀⠀⠀ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠈⢙⣷⠀⠀⠉⠀⠀⣤⠀⠀⠈⠀⠀⠀⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠥⣤⡀⠀⠀⡀⠀⠀⢀⠀⠀⠰⠆ ⢹⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣟⡻⠍⠃⠀⠀⠀⠀⣿⣷⣿⠶⠚⠉⠀⠀⠀⠀⠀⠀⠀⣷⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣤⣾⣿⣿⡇⠈⠀⠀⠀⡄ ⢸⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣯⣓⣽⣿⣿⠿⠟⠛⠉⠉⠑⠚⠛⣡⣶⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡿⠿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠩⣛⣿⣛⣆⣀⣧⣤⡤ ⠘⣹⣿⡿⠿⣻⢿⣿⣿⣿⠿⠛⠋⠉⡁⠀⠀⠀⠀⠀⡀⠀⣶⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⣿⡛⢁⣤⣶⣵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠘⣹⣯⠔⢀⣾⣺⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⣼⣶⣾⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⡎⣶⣲⡶⢦⢀⣿⣧⠛⠛⠨⠁⢿⡄⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠿⠟⠛⠛⠋⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⣶⣾⣿⣿⠄⠀⠀⠀⡁⣭⣧⣷⠈⠣⡙⣷⣴⣶⣴⣶⣿⣷⣀⣀⣀⠀⠀⢉⡂⢀⣀⣀⣤⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⠟⠟⠋⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⡖⢒⣈⣉⠉⢰⣶⠀⠀⠀⢀⣶⣿⡁⠀⠒⠚⣹⣿⣿⣿⡿⠿⠛⢛⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠓⠉⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢸⠾⠿⠀⠘⣛⣤⣶⣚⣻⣿⠿⠧⠴⠚⠛⠋⠁⠀⠀⣀⣀⣴⣿⡿⠿⠿⠛⠛⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀ ⠀⠀⢀⣤⣤⣤⣬⣥⡥⢄⣠⣤⡤⡀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢿⣶⣶⡶⠛⠛⠋⠉⠉⠁⢀⣀⡠⠤⠤⠤⠒⠒⠚⠉⠉⠁⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣷⣤⣀ ⢼⠟⠉⡟⠁⠠⠤⢌⣠⠄⣀⣼⠿⣦⣄⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠓⠢⠐⠂⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣼⣿⣿⣿⣶⣂⠀⠀⠀⠀⢀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣹⡋⣹⣿⣶⣿⣿⣿⣦⣤⣿⣿⣶⣶⣿⣿⣿⣿⣿⡿⣿⣟⣟⡻⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣭⣿⣿⣇⢠⡀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣩⣿⠛⠛⠛⠻⣿⡟⠛⠛⡟⠛⠛⠛⠛⠛⠛⠛⡟⠛⢻⠟⠛⠛⢿⠛⠛⠛⠛⠓⠒⠒⡖⠒⢢⣠⠒⢒⣤⠒⠒⡄⠀⠒⢲⠒⠒⣶⠒⢲⠚⢻⡟⠛⣿⠛⢻⠟⠛⠛⢿⡟⠛⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⠈⢹⠀⠀⠇⠀⣿⠀⢠⠀⢷⡆⠀⣶⠶⡆⠀⣶⡇⠀⢸⠀⠸⢤⣼⣶⠀⠀⣶⠀⠀⠶⡇⠀⢸⣿⠀⢸⣿⠀⠀⡇⢸⠀⢸⠀⠀⡏⠀⢸⠀⢸⡇⠀⠹⠀⢸⠀⠸⢤⣼⡇⠀⣿⣿⣿⣿⣯⣌⣽⣿⣻⣦⣒⣛⣻⣿⡿ ⠀⢸⠀⠀⡆⠈⢻⠀⠸⠀⢸⡇⠀⣇⢀⡇⠀⣿⡇⠀⢸⠷⢤⠀⠹⣿⠀⠀⣿⠀⠀⣤⡇⠀⢸⣿⠀⢸⣿⠀⠀⡇⢸⡀⠘⠀⡄⠀⠀⣿⠀⢸⡇⠀⠀⠀⢸⠷⢤⠀⠙⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠘⢀⣀⣁⣀⡆⣀⣰⢀⣈⣇⣀⣿⠺⠇⣀⣿⡇⣀⣸⣀⠈⢀⣰⢿⠀⠀⠿⠀⣀⡉⣁⣀⣈⢹⢀⣈⣉⣀⡀⠇⠀⠇⣀⢠⡇⣀⣀⣿⣀⣸⣇⣀⣇⣀⣸⣄⠈⢀⣠⡏⣉⣿⣿⢿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⠀⠀⠈⠉⠀⠀⠈⠈⠁⠊⠉⠉⠉⡋⠀⠈⠉⢁⣠⡉⢹⣿⣿⠿⠁⠀⠀⠀⠀⠀⠉⠁⠀⠈⠁⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣤⠻⣿⣿⠈⣿⣿⣿⣿⣿⠿⡾⣿⣿⣿⣿⣿ ⢶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣖⣤⣦⣴⣴⣶⠖⠀⠀⡠⠴⠒⠒⠂⠀⠀⣲⣶⣶⣶⣶⣶⣶⢶⣲⣴⣶⣶⣶⢶⣶⣶⣶⣖⣤⣶⣶⣶⣶⣖⣒⣢⢴⣲⣒⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠥⠂⠀⠀⠀⠀⠀⠀⠉⠁⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢛⣋⣡⣤⣴⣿⣿⠿⠕⠛⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣟⣿⣿⣿⢿⣿⣟⣿⣿⣾⣿⣿⣿⠟⢻⣿⠏⠀⠤⠤⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⢿⣿⣿⣿⣿⣿⣿⣿⣧⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣿⠿⡻⠛⠋⠉⠋⠋⠠⠞⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣟⣋⣩⣿⣿⣿⣿⣿⣿⣿⣄⣀⣀⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⡟⢿⠋⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⢉⣤⣴⡛⣿⣿⣿⣿⣿⣿⣿⣿⠿⢻⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠢⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣟⡻⢫⣼⣿⣿⣧⣶⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠈⠉⠉⠁⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⠴⣶⣿⣿⣧⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⣿⣽⠃⠸⠛⠋⠉⠀⠀⠀ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣶⣶⠀⠀⢿⣿⣿⣿⣏⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⣋⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀ ⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠧⠀⠰⠿⠆⠀⠀⠀⠀⠀⠀⠀⠈⠋⠁⠀⠀⠈⢻⣿⣯⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠀⣠⣶⣶⣶⡄⠓⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡻⢅⣿⣿⣿⣿⠿⠿⠛⠛⠯⠷⠾⣋⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⢀⠀⠙⣻⢿⡿⢦⠀⢰⣀⡀ ⢸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠋⠉⠀⠀⠀⠀⠀⢠⣤⣾⣿⡇⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣷⣶⣶⣿⣿⣿⣿⣿⣿⡏ ⠘⢾⣿⣋⠅⢨⡷⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⢀⣾⣥⣾⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠟⣡⣼⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧ ⠀⢰⡿⠷⠶⠿⠿⠟⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⣿⢡⣾⣿⠿⣿⣀⣀⠀⠀⠀⠀⠀⠐⢣⠈⡀⠀⢀⣀⣀⣠⣤⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢸⣯⡾⢛⣁⣽⣦⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⡿⠿⠿⠝⠛⠛⠈⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⣾⡦⣤⠀⠀⠀⠀⠀⢠⡄⣿⠀⠀⠀⢿⣷⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⠿⠿⠿⠛⠛⠛⠉⠉⠁⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀ ⠀⠀⠀⢀⣀⣀⣀⣛⣑⣀⠀⢀⣀⡀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⣼⣷⡄⠀⠀⣀⢸⡇⠈⠀⠀⠀⣺⣿⡿⠉⠋⠁⠀⠘⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣷⣤⣀ ⣠⣶⠖⢻⠟⠉⣉⣙⠛⣀⠉⢋⣿⣮⣀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠈⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣼⣿⣷⣦⡤⠀⠀⠀⠀⢀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣹⣷⠒⣾⣤⣬⣵⣶⣯⣉⣸⣿⣇⣬⣽⣧⣾⣿⣿⣿⣿⣿⣿⣿⡿⠟⠟⠋⠉⠉⠉⠉⠁⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⢻⣶⣶⡄⡀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢻⣿⠛⠛⠛⠻⣿⡟⠛⠛⡟⠛⠛⠛⠛⠛⠛⠛⡟⠛⢻⠟⠛⠛⢿⠛⠛⠛⠛⡒⠛⠒⡖⠛⢳⣴⠛⢒⣤⠒⠒⡄⡀⠒⢲⠒⠒⣶⠒⢲⠒⢺⡟⠛⣿⠛⢻⠟⠛⠛⢿⡟⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⠛⢻⠀⠀⠇⠀⣿⠀⢠⠀⢷⡆⠀⣶⣶⡆⠀⣶⡇⠀⢸⠀⠸⢤⣼⣶⠀⠀⣶⠁⠀⠶⡇⠀⢸⣿⠀⢸⣿⠀⠀⡇⢹⠀⢸⠀⠀⡏⠀⢸⠀⢸⡇⠀⠹⠀⢸⠀⠸⢤⣼⡇⠀⣿⣿⣿⣿⣯⣌⣽⣿⣻⣦⣒⣛⣻⣿⡿ ⠀⢸⠀⠀⡆⠈⢻⠀⠸⠀⢸⡇⠀⡏⠈⡇⠀⣿⡇⠀⢸⠷⢤⠀⠹⣿⠀⠀⣿⠀⠀⣤⡇⠀⢸⣿⠀⢸⣿⠀⠀⡇⢸⡀⠘⠀⡄⠀⠀⣿⠀⢸⡇⠀⠀⠀⢸⠷⢤⠀⠙⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠻⠀⣀⣁⣀⣆⣀⣰⣀⣈⣇⣀⣿⣼⣇⣀⣿⣇⡀⢸⣀⠈⢀⣰⣿⢀⠀⠿⠀⣀⡉⣁⣀⣈⢹⢀⣈⣉⣀⡀⠇⠀⠇⣀⢠⡇⣀⣀⣿⣀⣸⣇⣀⣇⣀⣸⣄⠈⢀⣠⡏⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⠀⠀⠀⠉⠁⠀⠉⠉⠉⢉⠉⠉⠛⠫⠁⠀⠉⠋⠁⠈⠀⣽⡿⠟⠟⠀⠈⠀⠀⠀⠉⠁⠀⠈⠉⠀⠀⠉⠁⠀⠀⠀⠀⠀⠈⠀⠀⠈⠈⠛⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣻⣏⠙⣿⣿⣿⣿⣿⣿⣿⣿⢿⠾⣿⣿⣿⣿⣿ ⢴⣶⣶⣶⣶⢶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣢⣴⣤⣶⣶⡶⠂⠀⠀⠀⠀⢀⠀⠀⣀⣰⡆⣶⠶⡦⣒⣤⣶⣖⣂⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣶⡖⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣀⣀⣄⣰⣿⣿⣿⣿⣿⣿⣽⠿⢶⣯⣥⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⣵⣶⣿⣿⣿⣿⣿⣿⣿⣿⡖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⡿⠟⢇⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⢿⣿⣿⣿⣿⣿⣿⣿⣯⣄⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⠁⠀⠀⠀⠀⠀⢠⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⠿⢿⡿⡕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⢿⣟⡛⠛⣩⠿⠉⠉⠸⣳⠿⣾⣆⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⣁⣼⣿⣿⡄⠀⠀⠀⠀⠀⣠⣤⣶⠄⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠻⠟⠟⠿⠿⠛⠿⠿⠛⠀⠂⡍⠚⠀⠀⠀⠐⢂⣠⣤⣤⠾⠟⠛⠛⠁⠀⠀⠀⠀⠀⠀⠄⠀⡠⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠟⣤⣽⣿⣿⣵⣿⡇⠀⠀⠀⠀⣴⣿⣿⣾⣿⣦⠄⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠤⠾⠞⠊⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⣤⣿⣿⣿⣿⣿⣿⣿⣿⠋⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⡤⣶⣶⣿⣷⡀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣷⣦⣠⣿⣿⣿⣿⣿⣿⣿⡿⣿⡀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣻⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⢸⣯⡟⠡⠿⠛⠋⠉⠀⠀ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠹⠿⣿⣧⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣚⡋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠉⠛⠿⠿⠿⠋⠀⠀⠀⢶⣶⣿⠁⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠓⢐⣴⣶⣴⣆⢸⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢀⡀⠘⣿⣿⣿⣿⡿⢻⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣷⡅⠀⠆⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠸⣿⣿⣿⣷⠛⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣽⣶⣶⣶⣿⣿⣿⣿⣿⡏ ⠘⠿⣿⣟⡩⠀⣽⣼⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣇ ⠀⠀⣿⣿⠶⠾⠿⠿⠿⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⢰⣿⣿⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣧⣄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⢻⠈⢀⠀⠀⠀⣀⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣹⡏⣻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠟⠛⠉⠀⠁ ⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣟⢡⣿⣾⣿⣶⣾⣿⣿⣿⣿⣿⣿⡿⠿⠿⠟⠛⠛⠋⠉⠉⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀ ⠀⠀⠀⠀⣀⣀⣀⣚⣛⣂⡀⠀⣀⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⠉⣿⡿⠛⠋⡿⠛⠛⠛⠋⠉⠉⠁⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣷⣤⣀ ⣠⣶⡶⠺⡟⠛⢉⣉⡛⢁⠉⠙⣹⣧⣄⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⡃⠂⠁⢀⣀⣴⣿⣦⠀⠀⠀⣀⣾⣿⣿⣿⣄⠀⠀⠀⠀⢠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣹⣿⠖⢲⣧⣤⣭⣶⣾⣍⣀⣿⣿⣨⣽⣷⣴⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⣿⣧⠋⣀⣦⣿⣿⣿⠏⠁⠀⣠⣾⣿⣿⣿⣿⣿⡿⣷⣶⣦⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢻⣿⠛⠛⠛⠻⣿⡟⠛⠛⡟⠛⠛⠛⠛⠛⠛⠛⡟⠛⢻⠟⠛⠛⢿⠛⠛⠛⠛⡛⠛⠒⡖⠛⢲⣴⠛⢻⣿⠒⠒⣶⣟⠚⢻⠛⠛⣿⠛⢳⠒⢲⡟⠛⣿⠛⢻⠟⠛⠛⢿⡟⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⠛⢿⠀⠀⠇⠀⣿⠀⢠⠀⢷⡆⠀⣶⣶⡆⠀⣶⡇⠀⢸⠀⠸⢤⣼⣶⠀⠀⣶⠃⠀⠶⡏⠀⢸⣿⠀⢸⣿⠀⠀⣿⣿⠀⢸⠀⠀⡏⠀⢸⠀⢸⡇⠀⠹⠀⢸⠀⠸⢤⣼⡇⠀⣿⣿⣿⣿⣯⣌⣽⣿⣻⣧⣖⣛⣻⣿⡿ ⠀⢸⠀⠀⡆⠈⢻⠀⠸⠀⢸⡇⠀⡿⠈⡇⠀⣿⡇⠀⢸⠷⢤⠀⠹⣿⠀⠀⣿⠀⠀⣤⡟⠀⢸⣿⠀⢸⣿⠀⠀⡿⢻⡀⠘⠀⡄⠀⠀⣿⠀⢸⡇⠀⠀⠀⢸⠷⢤⠀⠙⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠾⢀⣀⣁⣀⣇⣀⣰⣀⣈⣇⣀⣿⣸⣇⣀⣿⣇⣀⣸⣀⠈⢀⣰⣿⢀⡀⠿⠀⣀⣉⣁⣀⣈⣹⢀⣈⣉⣀⡀⠇⠈⠇⣀⢠⡇⣀⡀⣿⣀⣸⣇⣀⣇⣀⣸⣄⠈⢀⣠⣏⡉⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⠘⠀⠀⠉⠁⠁⠉⠉⠀⠉⡉⠉⠛⠻⠍⠈⠉⠙⠉⠁⠀⢸⡿⠿⠻⠃⠈⠁⠀⠀⠉⠁⠀⠈⠉⠀⠈⠉⠁⠀⠀⠀⠀⠀⠈⠀⠀⠈⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣟⣟⡋⣿⣿⣿⣿⣿⣿⣿⣿⠿⡾⣿⣿⣿⣿⣿ ⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⡠⢠⣶⡶⠂⠀⠀⠀⠀⠀⠀⠀⠀⢠⠆⡆⡶⠤⢐⣤⣴⡶⣂⣠⣴⣶⡶⣶⣶⣶⣶⣶⣦⣶⣶⣶⣶⣖⣲⣄⣖⣒⣂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣇⡀⠀⠀⢘⣃⡀⠀⠀⠀⣼⣼⡿⠶⢏⣉⣬⣶⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⢛⣛⣍⣥⣾⣿⣻⠷⠛⠋⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠷⢶⡾⠿⠿⣿⣷⣶⣿⣣⣴⣶⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⠧⠢⠴⠺⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⢿⣿⣿⣿⣿⣿⣿⣿⣯⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣴⣄⣰⣬⣿⣾⣿⣿⣿⣿⣿⠿⣛⣭⣷⣿⣿⣿⣿⣿⣟⣿⣷⣿⣿⣿⠿⠟⠛⠿⠿⠿⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠿⠟⢋⣽⣿⣿⣾⣿⣿⣯⣿⣿⣿⣿⣿⡿⢟⣿⣭⠀⠀⠀⠹⢿⣿⠉⣵⣿⣿⣿⣿⠟⠛⠉⠉⠘⠀⠐⠁⠂⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⣉⣤⡶⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⠉⢀⣀⢀⣶⡶⠶⠆⠀⠀⠀⠘⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣷⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣽⡇⠀⣁⣰⣴⣾⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣱⣾⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⢤⣶⣾⣷⡀⠀ ⣿⣿⣟⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢉⣼⣏⣿⣿⣿⡟⢙⣿⣿⣿⣿⣟⠿⠷⠦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡶⢸⣟⣿⠁⠾⠿⠛⠉⠁⠀ ⣾⣿⣿⣿⣿⣿⣿⣏⠀⠈⠉⠛⠛⠉⣸⣿⣿⣿⣿⣿⠻⠋⣠⣿⣿⣿⣿⣿⡏⢳⣛⣿⣿⠿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠛⠊⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⣀⣽⣿⣿⣿⣿⣥⡄⢻⠟⢿⣻⠛⢿⡿⣧⡬⢝⡃⠀⠒⣦⡙⠿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠒⢀⣠⣶⣤⣄⠀⠆⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣭⣀⡀⠀⠀⣿⣿⣿⣿⣿⣿⡿⠟⠈⢰⡁⠀⢠⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠈⠳⢤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⣿⣿⣧⡀⠀⡄⠀ ⢸⢿⠿⣿⣿⣯⣿⣯⣼⣿⣷⣗⠀⣹⣿⣿⣿⣿⣿⣧⡀⠀⢨⣇⡇⢨⣿⣿⣿⣿⣿⠓⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣤⣬⣶⣿⣶⣶⣶⣿⡇ ⠀⠂⢻⣟⢉⠀⣭⣬⣿⣿⣿⣥⡀⠸⣿⣿⣿⣿⣿⣿⣷⡀⢸⣿⠂⣧⣾⣿⣿⣿⣿⠂⠀⠀⣲⣶⣶⣤⡀⠀⠀⠀⠀⠀⢶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣇ ⠀⠀⣼⣿⡶⠶⠿⠾⠿⠟⠛⠛⠋⠀⠸⠿⣿⣿⣿⣿⠟⠋⠈⠋⠀⠹⠿⠟⠿⠃⠀⠀⠂⢀⣺⣿⠏⠉⢻⣶⡄⠀⠀⠀⠀⢩⣤⣅⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⢀⠀⠀⠀⠀⢀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⡿ ⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠀⠀⠀⠀⢀⣠⣶⡇⠀⠈⠁⠀⠀⣀⣹⣿⣿⡆⠀⠈⠀⠛⠢⢄⢀⢤⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⢿⣿⡟⠿⠏⠉⠉⠀⠀⠀ ⠀⠀⠀⠀⢀⣼⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⠋⠀⠀⠀⠀⠀⢼⣿⣿⣿⣿⠇⣤⠀⡆⠀⠀⠐⠋⢼⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠟⠛⠛⠉⠉⠁⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀ ⠀⠀⠀⢀⣾⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣿⡟⠀⠈⣤⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣷⣤⣀ ⣠⣴⡶⠾⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡟⠛⢇⡄⠀⠙⠀⠉⠉⠉⠻⠏⠉⠁⡀⠒⠂⠉⠁⠀⠀⢰⣤⣾⣿⣷⣄⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣺⣿⡗⢲⣿⣹⣿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⡿⣶⣴⡆⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠻⣿⠛⠛⠛⠻⣿⡟⠓⠒⡖⠒⠛⠛⠒⠒⠒⠒⡖⠒⢢⠖⠒⠒⢶⠒⠒⠒⠒⠒⠒⠒⡖⠛⢳⣾⠛⢓⣶⠛⠓⣷⣞⠛⢲⠒⠒⣶⠒⢲⠒⢲⡟⠛⣿⠛⢻⠟⠛⠛⢿⡟⠛⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿ ⠛⢿⠀⠀⠇⠀⣿⠀⢀⠀⢷⡆⠀⣶⢶⡆⠀⣶⡇⠀⢸⠀⠸⢤⣼⢶⠀⠀⣶⠀⠀⠶⡇⠀⢸⣿⠀⢸⣿⠀⠀⣿⣿⠀⢸⠀⠀⠏⠀⢸⠀⢸⡇⠀⠹⠀⢸⠀⠸⢤⣼⡇⠀⣿⣿⣿⣿⣯⣄⣼⣿⣻⣤⣒⣛⣻⣿⡟ ⠀⢸⠀⠀⡆⠈⢻⠀⠸⠀⢸⡇⠀⡏⠈⡇⠀⣿⡇⠀⢸⠷⢤⠀⠙⣾⠀⠀⣿⠀⠀⣤⡇⠀⢸⣿⠀⢸⣿⠀⠀⣿⣿⡀⠘⠀⡄⠀⠀⣿⠀⢸⡇⠀⠀⠀⢸⠷⢤⠀⠙⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾ ⢐⠾⠀⣀⣁⣀⣆⣀⣰⣀⡈⣇⣀⣷⣠⡇⣀⣿⡇⣀⣸⣀⠈⠀⣠⠿⠀⠀⠿⠀⣀⡉⣁⢀⣈⣹⣀⣈⣉⣀⡀⡿⢹⣇⣀⣠⣇⣀⡀⣿⣀⣸⣇⣀⣇⣀⣸⣄⠈⢀⣠⣏⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⠘⠀⠀⠈⠁⠀⠈⠁⠀⠉⡀⠉⠙⠻⠍⠈⠉⠘⠈⠁⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠉⠁⠀⠈⠉⠉⠉⠙⠻⠋⠉⠁⠀⠉⠙⣿⡋⠉⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢟⠉⣿⣿⡿⣿⣿⣿⣿⣿⠿⠾⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 1426 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at http://techrights.org/2022/02/10/irc-log-090222/#comments Gemini version at gemini://gemini.techrights.org/2022/02/10/irc-log-090222/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 02.10.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ IRC_Proceedings:_Wednesday,_February_09,_2022⠀✐ Posted in IRC_Logs at 2:54 am by Needs Sunlight Also available via the Gemini protocol at: * gemini://gemini.techrights.org/irc-gmi/irc-log-techrights-090222.gmi * gemini://gemini.techrights.org/irc-gmi/irc-log-090222.gmi * gemini://gemini.techrights.org/irc-gmi/irc-log-social-090222.gmi * gemini://gemini.techrights.org/irc-gmi/irc-log-techbytes-090222.gmi Over HTTP: 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇H 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gemini://gemini.techrights.org/2022/02/10/meme-epo-courts/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 02.10.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ [Meme]_EPO_Courts⠀✐ Posted in Europe, Law, Patents at 8:07 am by Dr. Roy Schestowitz 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Due process⦈ Summary: Due process at the EPO has become a fictional concept; self-appointing monarchs like Benoît_Battistelli and António_Campinos don’t know what “social” and “democracy” mean ⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⡉⣉⡉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⢧⣋⣼⠛⣛⣢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠓⠼⠿⠧⠿⢌⣇⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡁⠀⠀⠀⠰⢱⠇⢀⠩⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣦⣸⡿⢷⣄⣀⡠⣸⠂⡀⣾⣷⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣯⣿⣽⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣾⣿⣾⣿⣿⡿⠿⠿⠛⠛⠉⢸⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠈⠻⣼⣷⣹⡿⢱⠃⠊⠈⠋⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠙⠈⠉⠙⣿⣿⢿⣾⣿⣿⣿⡟⠵⡷⠀⠀⠀⠀⠀⢸⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡿⠍⣽⣿⣿⣿⡿⢿⠻⣟⢿⣤⠀⠀⠹⣿⠿⠒⠉⠙⠿⡿⠈⠄⠀⠀⠀⣤⠀⠀⢸⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠘⡀⡆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠛⠛⠈⠀⠀⠉⣟⣿⣿⣿⣿⣿⣦⣤⣆⠐⠆⠠⠀⠀⠀⢴⠭⠀⠀⠀⠀⣼⣯⠀⠀⢸⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⢶⣿⡇⢤⢄⠘⣿⣿⠿⠟⠛⠉⢉⣉⠻⣷⣄⢆⠀⠀⡀⠀⢀⠠⠠⠀⢀⣯⣿⠀⠀⢸⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣍⣅⠀⠀⠀⠉⢁⡠⢠⠀⠀⢂⠘⢿⣷⣶⠆⠱⣄⠑⠑⠋⢀⣼⣿⣿⠰⠀⢸⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣧⣶⣄⠀⢀⣀⠀⠀⠠⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⢹⣝⣷⠿⣾⣿⡿⢁⠌⢀⠀⠌⡂⠀⠛⣵⡅⠀⠑⡠⠀⣀⣾⣿⣿⡏⠀⠀⢸⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠋⠒⠂⠤⠀⠀⠀⣡⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣀⣀⠉⠀⠀⢤⣽⢟⠤⠁⣠⣿⣧⡐⠿⣦⠀⠉⣿⡴⠳⡄⠀⣽⣿⣿⣿⢁⡀⠀⢸⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠁⠈⢀⣼⣿⣿⣿⣷⣄⡹⠧⠀⠈⠚⢷⠧⠠⠿⠿⠿⢇⠸⣿⣦⢸⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣤⣴⣷⣄⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣶⣮⣴⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣋⣸⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⡉⠙⠉⠉⠀⢸⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣶⢂⠻⡞⣸⢇⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⡇⠀⡇⠀⠀⠈⡄⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⢯⡊⠵⠶⣱⣾⠘⢁⡲⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠃⢀⣇⠀⠀⣠⡇⣀⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢈⡘⠁⠀⠈⠀⢀⠀⠀⠁⠀⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⠿⠿⢿⡿⠿⠿⡿⠛⠛⢿⠟⠛⠛⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⠆⠨⢢⣀⢀⣠⣾⣶⢀⡀⣀⡴⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⡀⢹⠀⢠⠀⠛⠀⠀⠀⡇⠀⡆⠀⡇⠀⠶⡇⠀⠠⣼⡀⠘⠠⣾⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠑⠩⠂⡇⣿⢲⣯⣭⣿⢛⣻⠇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⣁⣼⠀⢠⠀⢳⠀⠀⠀⠇⠀⡟⠛⡇⠀⢶⡟⠒⡄⠈⡉⠰⠀⢸⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠘⠳⢽⣛⡥⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣇⣀⣿⣿⣀⣸⣀⣸⣄⣀⣠⣿⣤⣀⣤⣧⣤⣤⣴⣤⣤⣶⣷⣦⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠜⠁⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢩⣭⠙⢿⠉⢋⣭⠙⢿⠟⣩⣍⠙⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣒⠂⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠠⣤⠄⣾⠀⠸⡿⠃⣸⡀⢿⡿⠀⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾⣿⠀⣷⣶⣾⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣾⣧⣿⣦⡀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠿⠟⠃⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣷⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣼⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣾⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 1616 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at http://techrights.org/2022/02/10/new-epo-social-democracy-meme/#comments Gemini version at gemini://gemini.techrights.org/2022/02/10/new-epo-social-democracy-meme/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 02.10.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ [Meme]_EUIPO-Styled_Labelling_for_EPO⠀✐ Posted in Deception, Europe, Patents at 6:19 pm by Dr. Roy Schestowitz 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇EPOnian_Monarchy_vs_Social_democracy⦈_ Summary: O-HIM? No, he’s not a tyrant, he’s for “social democracy” ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⢛⣛⡳⢞⣛⣉⠛⣛⡻⢛⣛⡛⣛⣛⣛⣛⣋⡻⣿⣿⣆⠈⠉⠀⠸⡿⠃⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⢩⣭⢩⣤⣠⣴⣤⡀⣤⢠⣤⣤⣤⡄⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⡇⢸⣯⣛⠃⣿⢰⢸⣏⡁⣿⣏⣹⣿⣹⡇⣼⣿⣿⢿⣷⣶⣴⣄⢀⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣾⣿⣼⡏⣿⡇⣿⡇⣿⣿⡇⣿⣷⡄⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⢠⣍⣿⡇⣿⣘⢸⣏⡁⣿⣏⣹⣿⢩⣵⣿⣿⣿⡏⠁⠉⠛⢿⣿⠟⠛⣼⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⢹⣿⡇⢿⣧⣿⠇⣿⢻⣧⣿⣧⡄⣀⣀⠀⠀⠘⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠍⠁⠉⠈⠙⠋⣁⣉⣉⡈⠉⣥⣭⣭⣭⣭⣾⣿⣿⣿⣿⡀⠀⠀⢀⣴⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⣴⣶⣾⣷⣶⣠⠀⠀⠀⣠⣶⣶⣶⣿⣿⣿⡄⠀⠸⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⣠⠀⢰⣾⣿⣿⣿⣿⡆⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣟⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢻⣿⣿⣿⣿⣿⣧⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢸⣿⣿⣶⣾⣿⣿⣿⣿⣿⣇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠸⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⡿⠛⠛⠛⣿⡟⠉⠉⠉⠻⡄⡸⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠈⢿⣿⣿⣆⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⢸⣿⣿⣿⡟⠉⠉⠉⢻⣿⣿⣿⣿⣟⠛⠛⠛⢿⠀⣸⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢸⣶⣶⣶⣶⣼⣧⣷⣿⣿⣿⣗⣸⠿⣿⣿⠋⠙⠻⣿⡏⠀⠀⠀⠈⠂⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣶⣿⣄⣮⣸⡿⠿⠿⢫⢄⢀⡄⢵⣾⢰⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣿⣿⣿⣿⡉⢉⣹⣿⣿⣿⣥⣿⣶⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⠰⠀⣴⣦⣸⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣰⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣉⣩⣭⣭⣤⣼⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠛⠛⠋⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⢿⣿⣿⣷⣿⡿⠟⠀⣼⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣯⣤⣄⣀⣬⣉⣹⣿⣿⣿⣿⣯⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣿⣿⣿⡿⠿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣏⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣴⠀⠀⢰⣿⣿⣿⠋⠙⠛⠻⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡤⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⡻⣿⣿⣿⣖⢀⠿⡿⠑⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⠈⠙⠪⣁⣭⣿⣁⡀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⣀⠀⣀⣀⠀⣀⡀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠴⠇⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡇⠈⠙⠿⢿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⠇⠀⠀⣶⡶⢰⣶⢶⡆⣾⢻⣷⢸⣷⣹⡇⣿⡇⣿⢿⡆⣿⣧⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⢟⣭⣭⢛⣬⣭⠛⣯⣭⡛⣽⢛⣛⡛⣛⡛⠟⣴⠁⠀⠀⠀⠀⠀⠉⠙⠛ ⣿⣿⣿⣿⡟⠀⠀⠀⣿⡷⢸⣿⠾⠃⣿⣾⣿⢸⡿⣿⡇⣿⡇⣿⣼⣷⢹⡿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣶⡀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⢚⡿⣯⢸⡇⣿⢸⣿⠛⢻⣿⢸⣿⡇⣿⡇⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡇⠀⠀⠀⠿⠷⠆⠿⠀⠀⠛⠿⠛⠘⠛⠙⠃⠛⠃⠉⠈⠉⠈⠁⠉⠁⠀⠀⣀⡀⠀⠀⠀⠀⠈⣿⡇⠀⠀⢸⣿⣿⠿⠛⠉⠀⠀⠘⠷⠿⠘⠷⠿⡘⠿⠿⠹⠿⠾⠿⣷⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡿⠁⣀⡀⣀⣤⢀⣤⣤⡀⣤⡀⣴⢀⣶⣶⠐⣶⢶⣦⢰⡟⣿⡆⣿⣼⣿⠸⣧⣿⢀⠀⠀⠀⠀⠀⠻⠁⠙⠀⠘⠉⢀⣶⣶⡄⣶⠶⣴⣦⣤⡤⣠⣬⣍⢠⣬⣍⢩⣤⣄⢢⣤⡄⢀⣤⡀⣀⢀⡀⠀⠀⠀⠀⠀ ⣿⣧⣬⣤⠀⣿⣷⣿⣿⢸⣿⢿⡇⣿⣷⣿⢸⣿⣿⡆⣿⣾⣯⢸⣷⢩⡅⣿⡟⣿⠀⢻⡇⣪⡤⠀⠀⠀⠀⠀⣤⣀⣀⠀⠀⢸⣿⣿⣇⣿⠂⣿⢿⣿⡇⣿⢿⡿⣿⣟⣛⣸⣷⣟⢸⣿⡇⣿⠛⠿⢹⣿⠃⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠀⣿⢹⡏⣿⠸⣿⣸⡇⣿⡟⣿⣸⡿⠻⠧⠿⠏⠿⠘⠿⠾⠃⠛⠃⢛⣢⣜⣣⣿⠆⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠘⠛⠛⠙⠛⠃⠛⠘⠛⠃⠛⠾⠃⠻⠿⠏⠿⠿⠿⠿⠻⠷⠻⠼⠟⠠⡿⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠀⠉⠉⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⠿⠿⠻⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣤⣤⣶⣤⣶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠛⠋⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ䷩ 𝚕𝚒𝚗𝚎 1669 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at http://techrights.org/2022/02/10/social-control-media-bubbles/#comments Gemini version at gemini://gemini.techrights.org/2022/02/10/social-control-media-bubbles/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 02.10.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ Social_Control_Media_is_a_Bubble_and_JoinDiaspora_Might_be_the_Next Casualty⠀✐ Posted in Deception, Free/Libre_Software, Site_News at 7:35 am by Dr. Roy Schestowitz Video_download_link | md5sum 32bb26b827f9b9b8b4382ad9b53404ac The Crisis of JoinDiaspora and Social Control Media Creative Commons Attribution-No Derivative Works 4.0 http://techrights.org/videos/joindiaspora-crossroads.webm Summary: There’s no money in hosting other people’s “social media” accounts unless one_is_willing_to_misuse/abuse_them; sadly, this means that JoinDiaspora has an existential crisis, like so many sites before it (that’s how I lost ‘my’ accounts at gnusocial.de, pleroma.site and several others); if we cannot pay to support hard-working administrators, then we’re better off relying 100% on self-hosting THE Social Control Media ‘bubble’ burst quite recently when Facebook itself admitted that it had lost active users and the value of the company collapsed. Meanwhile, Twitter itself has just lost a lot of money throughout its existence; the business model both companies adopted or adapted to revolved around manipulation. 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Facebook_itself_admitting_people_are_leaving⦈_ Running a “social” “media” (it is neither of those things) site is hard; it’s also expensive because many kinds of issues inevitably emerge, leading to bureaucracy (potentially making new enemies for the administrator) and insane non-solutions [1, 2] to real problems like copyrighted porn, revenge porn, and fatigued moderators who get exposed to distasteful “content” like severed heads, animal cruelty etc. The collapse of Social Control Media isn’t new to me; I wrote_about_what happened_to_Identi.ca and now it_looks_like_the_same_might_happen_to JoinDiaspora, the “original” pod of Diaspora with 316,648_users_in_it (this link might already be broken by next month). I’ve spent weeks communicating with people, both publicly and privately, and my findings are partly covered in the video above. The short story is, running a pod of that scale (2,974,673 posts local to the pod and 1,420,841 comments, not even counting ‘imported’ stuff) is almost infeasible unless it’s treated as a full-time job with hard limits on the number of active/new users. Moderation burdens and legal threats (being held responsible for other people’s behaviour) are a “hidden cost”… “Moderation burdens and legal threats (being held responsible for other people’s behaviour) are a “hidden cost”…”I’ve been thinking about the matter carefully for weeks. It has bothered me a lot. But I’ve come to the conclusion that unless somebody else takes over the pod and runs it as responsibly as Lukas has (it is feasible but seems rather improbable at this stage), I will pay that somebody every month for the trouble. It takes a lot of hard work to maintain sites of that size and the incentive isn’t always there when it’s mostly “other people’s stuff”, including stuff one might strongly disagree with. If nobody steps up and takes over JoinDiaspora, then it might be offline within less than 3 weeks. That would be devastating and sad. In the case of Mastodon/Fediverse (including GNU Social and Pleroma), I’ve already gone through three accounts because there is too much volatility. After the third time (‘three strikes’!) I decided to not even bother returning anymore. Instances were being shut down too frequently and choosing a “big instance” sort of misses the point of federation. In the video above I explain why self- hosting one’s own instance (for 1 or 2 accounts) is also quite impractical. Better to host one’s own blog or Gemini capsule, then share RSS/Atom/ equivalent. Some people were gullible enough to outsource their feeds (in effect their subscribers), foolishly trusting Gulag/Feedburner to outlive themselves. As nixCraft’s Vivek put_it_yesterday, in a site that attracts millions of visitors: “The lesson is evident here, not to trust 3rd party with your RSS feed or content. I will never forgive Google for erasing Google Reader RSS/Atom feed aggregator. I lost many readers because of that move.” “‘Free’ community hosting is an enticing, alluring trap; you are always at the mercy of the operator, whose capacity as a moderator and financial means are limited.”Self-hosting is the way forward; federating across instances may be fine, but only as long as all the pertinent users are self-hosting their own accounts. ‘Free’ community hosting is an enticing, alluring trap; you are always at the mercy of the operator, whose capacity as a moderator and financial means are limited. One day Twitter and Facebook too will be offline; it’s not a question of if but when. Users’ own interests won’t be a consideration in such decision-making. If someone picks JoinDiaspora, knowing up front that it is a big task to deal with, I’ll try to rally online friends to help with funding (like subscription) and contribute myself. I can assist technically too (system administration, moderation and so on; others told me that they would do the same). Maybe it can all be salvaged and preserved. I think it should. It’s of massive historic importance. Some people developed this thing to_their_death. As an associate put it this morning, “self-hosting is the way forward, yet fewer and fewer these days know anything about computers and fewer still can actually use them. No, flicking fingers passively at a read-only display is not using ICT.” The associate wanted to emphasise the “point about how easy it is to self-host Gemini and, maybe, WWW. However for the latter to be both safe and easy it is necessary to stick to CSS+HTML and eschew fancy CMS tools. Static site generators will meet the need of most.” In future posts I will try to expand upon the subject at hand; there are ways for people to self-host (from home) — especially using a lightweight transmission protocol such as gemini:// — and then syndicate inwards and outwards, just like in the golden age of RSS feeds. Society would be vastly better off this way, as the image below illustrates. █ 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Net_topology⦈_ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣇⣀⣪⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣇⣀⣰⣢⣸⣀⣀⣪⣇⣇⣌⣈⣂⣀⣀⣿⣽⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⠿⠿⠃⠁⠉⠈⠉⠉⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿ ⣿⡏⠉⢝⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠋⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠛⠻⠟⠋⠀⠀⠛⣿⡿⠛⠉⠀⠈⠃⠀⠀⠀⠀⠈⠘⣿⣿⠟⠛⠉⠁⠉⠋⠉⠀⠀⠀⠈⠋⠙⠉⠛⢻⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿ ⣿⡟⠛⡻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⡟⠁⠸⣿⣿⣿⣿⣿⣿ ⣿⣷⣶⣾⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡎⣿⣿⣿⣿⣿⣿ ⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿ ⣿⣧⣤⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⡇⢻⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀ ⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ䷩ 𝚕𝚒𝚗𝚎 1875 ╒═══════════════════ 𝐃𝐀𝐈𝐋𝐘 𝐋𝐈𝐍𝐊𝐒 ═════════════════════════════════════════════╕ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 02.10.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ Links_10/2/2022:_FOSDEM_2022_Stories_and_LibreOffice_7.3_Downloaded_~100,000 Times_a_Day⠀✐ Posted in News_Roundup at 3:00 pm by Dr. Roy Schestowitz 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈ § Contents⠀➾ * GNU/Linux o Distributions o Devices/Embedded * Free_Software/Open_Source * Leftovers * § GNU/Linux⠀➾ o § Desktop/Laptop⠀➾ # ⚓ Peppermint_Linux_has_lost_some_of_its_sweetness_| TechRepublic⠀⇛ Once upon a time, I was happy to recommend Peppermint Linux to new users who wanted to test the operating system on older hardware. It was a lightweight distribution that made using Linux pretty easy. For a while, Peppermint had even become my go-to recommendation for new users. What the developers were doing was nothing short of brilliant. I recently installed Peppermint Linux 10, expecting it to wow me as it once did. Although it has been some time since I’ve tasted the distribution, I remember well how the last instance impressed me with its combination of user-friendliness and speed. And although the latest iteration has retained the speed, it has certainly lost some of the polish. This led me to wonder, what is Peppermint Linux now? Earlier iterations of Peppermint filled a very specific niche as a full-blown distribution that could perform well on older hardware while giving new users a shallow learning curve for using Linux. That was a crucial role to fill, and Peppermint filled it well. Any user who’d never experienced Linux could hop onto a Peppermint-flavored desktop or laptop and have no problem using the operating system. That is no longer the case. Just look at the system requirements for the latest iteration of Peppermint Linux. # ⚓ ‘Bruschetta’_may_bring_your_favorite_flavor_of_Linux_into Chrome_OS⠀⇛ One of the biggest shifts for Chrome OS in recent years has been the addition of Linux apps support, which runs a full version of Debian GNU/Linux in a virtual machine. This project was done under the codename “Crostini,” which is itself a pun on an earlier community project called Crouton. # ⚓ Google_wants_schools_to_teach_Chromebook_repair_classes [Ed: First phase of repair should be wiping the OS, with the spyware all over it, then replacing with 'proper' GNU/Linux which won't shout at your that your laptop is "expired" after 2 -4 years]⠀⇛ Hey kids! Want to help out your school and learn a bit about electronics repair at the same time? Google is launching a Chromebook repair program for schools. Chromebooks are wildly popular in schools due to their simple OS and easy management, but the hardware in any education environment really takes a beating. So why not learn to repair them yourself? Google’s new repair site has a guide on setting up Chromebook repair facilities, recommending schools set up a dedicated space for repairs, a front desk for “customers” to drop off broken devices and describe issues, and a skill-tracker board for students. o § Server⠀➾ # ⚓ 5_Distributions_Of_Linux_To_Consider_For_Your_Server_| Linux_Journal⠀⇛ Linux servers are everywhere. There’s a good chance a number of your favorite websites are running on infrastructure that’s powered by Linux, not to mention streaming services, social media platforms, gaming networks, the list goes on. The only thing more staggering than the number of Linux servers there are in the wild, is how many distributions you have to choose from. The distros that are available for download are countless, and the purpose of each ranges from general purpose operating systems, to task-oriented tools such as Clonezilla. If you’re just getting started with deploying Linux in your data center, choosing the right distribution can be confusing. If you utilize a cloud provider for your Linux infrastructure, the number of choices is at least somewhat curated, but you still have a choice to make. Which distribution is right for your environment? In this article, we’ll discuss some important concepts to keep in mind – and we’ll go over the finer points of some of the more popular options. There’s no shortage of opinions online regarding desktop distros, but in this article – we’re going to focus on server deployments. o § Audiocasts/Shows⠀➾ # ⚓ Linux_Action_News_227⠀⇛ A last-minute kernel patch for the Steam Deck, why Intel is supporting RISC-V development, and we go hands-on with Plasma 5.24. o § Instructionals/Technical⠀➾ # ⚓ Install_Metasploit_on_Debian_11/Debian_10_–_kifarunix.com⠀⇛ Follow through this guide to learn how to install Metasploit on Debian 11/Debian 10. Metasploit Framework provides a platform and tools for performing deep system security auditing as well as penetration testing to unearth, exploit and validate every other would-be vulnerability. # ⚓ How_to_Install_and_Configure_S3_Compatible_Object_Storage Server_using_Minio_on_Ubuntu_20.04⠀⇛ Object storage is the storage and retrieval of unstructured blobs of data and metadata using an HTTP API. Instead of storing files in a conventional manner by breaking them into blocks to store on disk using a filesystem, we deal with whole objects stored over the network. These objects could be an image, video, logs, HTML files, backups, container images, or any self-contained blob of bytes. They are unstructured because they don’t follow any specific schema or format. Minio is a popular open-source, self-hosted, Amazon S3 compatible object storage server. Minio is written in Go, comes with OS independent clients, and a browser interface. In this tutorial, you will install the Minio server on a Ubuntu 20.04 server, protect it using an SSL certificate from Let’s Encrypt, and access it using a command-line client. # ⚓ How_to_Install_jEdit_Development_Environment_on_Ubuntu⠀⇛ The editor we are going to learn about today is jEdit. It is not only a text editor but also a fully-featured development environment for Java programmers. Hence the name jEdit became popular. It works flawlessly on most Linux distributions. In this guide, we will see how jEdit can be installed, verified, launched, and uninstalled. Throughout the article, we will keep discussing various aspects of jEdit. # ⚓ whmapi_to_list_users_accounts_using_SSH._|_Elinux.co.in_| Linux_Cpanel/_WHM_blog_|_Linux_Webhosting_Blog,_Linux_blogs⠀⇛ If you want to list the all the accounts username using SSH then run below command. # ⚓ How_to_Install_Envoy_Proxy_on_Ubuntu_20.04_–_VITUX⠀⇛ Envoy Proxy is a high-performance proxy server with a small memory footprint enabling it to run on embedded devices such as routers, firewalls, and load balancers. Originally developed for the Citrix NetScaler application delivery controller, Envoy Proxy is now used by a number of major web properties and applications. Do you want to learn how to install the envoy proxy on Ubuntu? Envoy is a great proxy for improving the performance of your website. It can help reduce latency and improve caching. Plus, it’s really easy to set up! # ⚓ 13_Basic_echo_command_in_Linux_with_Examples⠀⇛ Linux’s echo command is a fundamental and essential command in scripting and programming! This command displays or prints arguments at the terminal. The command is included in all distributions (operating systems) as either the shell or bash. Usually, developers or programmers use echo commands in both debugging and building products such as websites, applications, operating systems, etc. # ⚓ 100_Important_Linux_Interview_Questions_with_Answers⠀⇛ Are you preparing yourself for a job interview where Linux is required? How about learning Linux from an article presented as an interview in a question-answer format? Yes, this article is about Linux interview questions with answers exclusively for those who are aiming for a career that’s all about Linux. You may get overwhelmed with various types of why, how, and what of Linux. So, we have collected 100 important Linux interview questions to make your work easier. # ⚓ How_to_import_bookmarks_from_Chrome_to_Firefox⠀⇛ As internet users, we spend most of our time interacting with a web browser. In the past several years, web applications have flourished many folds with the evolution of web browsers. Many new browsers have appeared on the scene. Firefox from Mozilla and Chrome from Google are the two most dominating browsers on the internet. The decision to choose one among them is not easy when both provide very edge features. # ⚓ How_to_Create_a_Docker_Image_From_a_Running_Container_– CloudSavvy_IT⠀⇛ Docker containers are generally ephemeral application instances which lack internal state. That’s the best practice way to handle them that lets you stop or restart your containers at any time. Sometimes modifications to a container’s filesystem are unavoidable though. Perhaps you’re trying out software and want a snapshot to return to later. Another use case could be situations where the software inside a container’s stopped working and you want to save a replica you can debug in the future. # ⚓ Install/Upgrade_Latest_LibreOffice_on_Rocky_Linux_8_– LinuxCapable⠀⇛ LibreOffice is a free, open-source office productivity suite used by millions worldwide. The office suite software uses a native file format ODF or Open Document Format, an accepted and almost required structure in multiple organizations across the globe. LibreOffice includes Writer (word processing), Calc (spreadsheets), Impress (presentations), Draw (vector graphics and flowcharts), Base (databases), and Math (formula editing). As many know, Rocky Linux does have recent versions of LibreOffice, but given the distribution is a downstream version of RHEL and focuses on stability over new features, when new LibreOffice releases occur, you may not see these straight away. Luckily, using alternative installation managers can achieve you getting the latest version and keep it up to date. In the following tutorial, you will learn how to install the latest 7.3 LibreOffice on Rocky Linux 8 using Flatpak. # ⚓ Install/Enable_SSH_&_Connect_on_Linux_Mint_20_LTS_– LinuxCapable⠀⇛ SSH or known by its full name Secure Shell Protocol, is a cryptographic network communication protocol that enables two computers to communicate securely over an unsecured network. SSH is highly used for remote login applications and command-line executables such as terminal applications. For users wishing to connect to servers or other computers with SSH, the client and the remote connection need to both have SSH installed and enabled for this to be possible. In the following tutorial, you will learn how to install and enable SSH on Linux Mint 20 LTS and connect to a remote PC. # ⚓ Install/Upgrade_NVIDIA_510.47.xx_Drivers_on_Linux_Mint_20_– LinuxCapable⠀⇛ Most modern Linux Desktop systems like Linux Mint have an NVIDIA driver pre-installed in the Nouveau open-source graphics device driver for Nvidia video cards. For the most part, this is acceptable; however, if you are using your Linux system for graphical design or gaming, you may get better drivers. Historically, the Nouveau drivers are slower than NVIDIA’s proprietary drivers, lacking the latest graphics card hardware’s latest features, software technology, and support. Currently, NVIDIA 510 Drivers are available to install, which bring many new features improvements to the very latest and existing supported graphic cards with better Linux Kernel support, ReBAR indicator, GBM API support, and much more. The following tutorial will teach you to install the latest bleeding-edge 510 Nvidia Graphic Card Drivers on Linux Mint 20 LTS using various installation methods. # ⚓ How_To_Install_Budgie_Desktop_on_Ubuntu_20.04_LTS_– idroot⠀⇛ In this tutorial, we will show you how to install Budgie Desktop on Ubuntu 20.04 LTS. For those of you who didn’t know, The Budgie Desktop is one of the latest and modern Gnome-based desktop that gives a minimal and elegant desktop experience and is available for all major Linux distributions. Written in C and Gnome based, Budgie desktop is developed by the Solus project and is now integrated with Ubuntu Budgie. This article assumes you have at least basic knowledge of Linux, know how to use the shell, and most importantly, you host your site on your own VPS. The installation is quite simple and assumes you are running in the root account, if not you may need to add ‘sudo‘ to the commands to get root privileges. I will show you the step-by-step installation of the Budgie desktop environment on Ubuntu 20.04 (Focal Fossa). You can follow the same instructions for Ubuntu 18.04, 16.04, and any other Debian-based distribution like Linux Mint. # ⚓ How_to_use_disposable_VMs_in_GNOME_Boxes_(like_Qubes, Windows_Sandbox)⠀⇛ Sometimes you need a virtual machine (VM) that remembers all your settings and files. Other times, you need the opposite — a disposable VM (DVM) that is either deleted or reset when you close it. This article focuses on the latter use case in GNOME Boxes. # ⚓ What_Is_Moby_and_How_Does_It_Relate_to_Docker?_–_CloudSavvy IT⠀⇛ Docker’s Moby Project disassembles the foundational components of Docker Engine into a modular toolkit that other container-based systems can reuse. Moby was spun out of the then-monolithic Docker codebase in 2017. It’s developed into a comprehensive library of container backend components which can be combined to create full container solutions like Docker itself. As a Docker end user you don’t directly interact with the Moby project. It’s aimed at people building containerization platforms, not developers building and running container images. However you may come across Moby in Docker’s documentation or when filing bug reports and feature requests. o § Games⠀➾ # ⚓ Skul:_The_Hero_Slayer_gets_a_massive_overhaul_out_now_| GamingOnLinux⠀⇛ Skul: The Hero Slayer, one of the best sellers on Steam from 2021 recently passed the 1 million mark and a big balancing overhaul update is out now. It’s an impressive number for SouthPAW Games, with this being their first published title. Considering the competition for similar side-scrolling action rogue-lites, it’s even more impressive. You take on the role of a skeleton, Skul, with a very unique ability. You can swap your current head for another, gaining the abilities from that head and swap them around during fights. It’s actually pretty great, although they’ve needed some time to get the balancing right on them all. # ⚓ What_is_Valve_Proton?_The_Steam_Deck’s_live-or-die_Linux software,_explained [Ed: Microsoft-connected media will smear and downplay and game perceptions around this product for weeks to come]⠀⇛ Looking at the spec sheet alone, the $399 Steam Deck gaming handheld should be a winner—and early Steam Deck reviews certainly suggest Valve nailed it on the hardware front. The PC-centric Nintendo Switch rival features a big 7-inch touchscreen, plenty of control inputs, an all-AMD chip based on the same hardware inside the Xbox Series S|X and PlayStation 5, and the ability to double as a full- fledged Linux PC. But forget the hardware. While it’s impressive indeed, the Steam Deck will sink or swim based on its software, and that means Valve awesome Proton technology is about to be thrust into the spotlight. The Steam Deck will sprint to a larger software library than most gaming handhelds because you’ll be able to tap into decades of existing PC games through your Steam account, rather than having to wait for new releases made specifically for the fresh hardware. But most of those games were created for Windows, and the Steam Deck runs on Valve’s Linux-based SteamOS operating system instead. Proton (via Steam Play) lets Windows games run on Linux. It works very well much of the time, but it’s not perfect—and the Steam Deck’s success probably depends on just how much Valve can polish up Proton before the handheld’s February 25 launch. The best hardware in the world is only as good as the software that runs on it, after all. # ⚓ OlliOlli_World_is_ridiculously_good_fun_and_works_great with_Proton_Experimental_|_GamingOnLinux⠀⇛ Want to Kickflip, Heelflip and Ollie your way to becoming a master and impress the skating godz? OlliOlli World is out and it works right away on Linux with Steam Play Proton Experimental. Note: it requires a gamepad to play. The third in the series, and the first to not offer a native Linux build. A shame it’s not officially supported by the developer, but Valve’s work with the Proton compatibility layer continues providing. This was an out of the box, day-1 working title with Proton. # ⚓ Steam_Deck_performance,_Epic_doesn’t_trust_EAC,_PopOS_gets more_FPS!_Linux_+_Open_Source_News_–_Invidious⠀⇛ o § Desktop Environments/WMs⠀➾ # ⚓ 5_Useful_Patches_to_Improve_Your_dwm_Experience⠀⇛ Dwm is a brilliant piece of minimalist software. Through only 2000 lines of code, its developers managed to provide a fast and light window manager. This spartan approach on software development, however, came with a price. Some features were dropped in order to keep the program size down. Despite that, it is possible to introduce new features to dwm by patching its source code, as dwm is source-based. Just to do basic configurations, we need to modify config.h, which is a part of dwm’s source code. # § K Desktop Environment/KDE SC/Qt⠀➾ # ⚓ KDE_Plasma_5.24_LTS_Released!_How_to_install_it_in_ (K)Ubuntu_21.10⠀⇛ The Plasma 5.24 desktop is a Long Term Support (LTS) release that will receive updates and fixes until the next Plasma 6. It features new overview screen to manage app opened apps. By enabling the feature in System Settings -> Workspace Behavior - > Desktop Effects, user may hold Windows key and press w to trigger overview. Running PC or laptop with fingerprint reader? In Plasma 5.24, you may now use fingerprint authentication for login, unlock, and running apps need sudo privilege. The KRunner now has a ‘question mark’ icon on the toolbar. Clicking on it will show a list of available plugins and how to use information. # ⚓ Use_Plasma_5.24_to_type_in_Alacritty_(Or_any_other text-input-v3_client)_with_Fcitx_5_on_Wayland⠀⇛ Relationship between the input method server and applications under Fcitx5+KWin/Wayland With the latest release of Plasma 5.24, the native wayland input method support in KWin is improved to support non-virtual keyboard input method like Fcitx 5. (There are lots of issues if you try to use zwp_input_method_v1 in 5.23). This leads to a outcome that non-Gtk/Qt application using text-input-v3 can be used flawlessly under KWin Wayland. Though, there is some small step that you’ll need to follow. o § Distributions⠀➾ # ⚓ Qubes_secure_OS_updated_to_4.1.0_with_GUI_VM_•_The Register⠀⇛ The Qubes compartmentalised operating system developers have put out version 4.1.0. The new version has experimental support for running the GUI and audio server in their own VMs, and an optional remote-support facility. The Qubes VM-based operating system modestly calls itself “a reasonably secure operating system”. Qubes uses the Xen hypervisor (sometimes under protest) to provide a single desktop environment – now Xfce 4.14 by default – in which separate applications run in their own VMs, with colour- coded window borders so you can tell which is which. Qubes has been steadily enhanced since the project announced it was going commercial. Version 4 has seen a few patch releases, but 4.1.0 adds some key new functionality. Qubes 4.1.0 can now be installed on UEFI computers, alongside some other new, but still experimental. The GUI part of the OS can be run in its own dedicated VM, rather than inside dom0 with the primary management OS, and so can the audio server. There’s also an optional remote-support package, not installed by default, that will allow someone else (with a codeword) to take limited remote control of your computer. # ⚓ PupControl_version_3.4⠀⇛ Roger (radky on the forum) has created and maintained PupControl and JWMdesk, both of which are in EasyOS. Up until now, Easy has PupControl 3.2.1, which has JWMdesk builtin. However, Roger has removed JWMDesk from PupControl and it is now a separate PET. Which is good, because JWMDesk is currently broken in EasyOS. # § BSD⠀➾ # ⚓ Best_FreeNAS_Plugins_:_TrueCore_Plugin_Collection⠀⇛ FreeNAS is an amazing open-source network- attached storage (NAS) software based on the FreeBSD operating system. FreeNAS is now rebranded as TrueNAS core. # § Screenshots/Screencasts⠀➾ # ⚓ OpenMandriva_Lx_4.3_|_a_unique_and_independent distribution_and_direct_descendant_of_Mandriva_Linux⠀⇛ In this video, I am going to show an overview of OpenMandriva Lx 4.3 and some of the applications pre-installed. # § IBM/Red Hat/Fedora⠀➾ # ⚓ How_to_prepare_Red_Hat_Satellite_for_VMWare integration⠀⇛ In this tutorial, we will finish setting up both Red Hat Satellite and VMWare for provisioning virtual machines (VMs) from Satellite. Throughout the tutorial, we will use the Satellite console GUI and the command line for configuring our Satellite environment so that you get familiar with using both. When we installed and configured Satellite, the domain example.com was added to the default organization and location. We need to add the domain to the Operations Department organization and the moline location. # ⚓ CPE_Weekly_Update_–_Week_of_February_7th_–_11th⠀⇛ Purpose of this team is to take care of day to day business regarding CentOS and Fedora Infrastructure and Fedora release engineering work. It’s responsible for services running in Fedora and CentOS infrastructure and preparing things for the new Fedora release (mirrors, mass branching, new namespaces etc.). The ARC (which is a subset of the team) investigates possible initiatives that CPE might take on. # § Debian Family⠀➾ # ⚓ SparkyLinux_6.2_Released_as_the_Second_Update_in_the 6x_Series⠀⇛ The SparkyLinux team has announced the release of SparkyLinux 6.2, the latest stable update in the project’s 6.x series. Sparky is a fast, lightweight, and fully customizable OS built on Debian that offers a few versions for different users and tasks. It is one of the few distributions which offers two versions, based on the Debian stable and testing branches. The SparkyLinux 6 ‘Stable’ version features ISOs with different desktop environments such as LXQt, Xfce, and KDE. It also offers a ‘Semi-Rolling’ version which is based on Debian’s testing branch and features more up- to-date packages. The ‘Semi-Rolling’ version comes with the same desktop environments as their ‘Stable’ version plus MATE desktop environment added. # § Canonical/Ubuntu Family⠀➾ # ⚓ Ubuntu_Touch_OTA-22_Is_Coming_February_18th_with WebGL_Support,_Interactive_Drawer_Blur⠀⇛ While the UBports Foundation is still preparing the move to the Ubuntu 20.04 LTS (Focal Fossa) base, Ubuntu Touch OTA-22 is yet another update based on Ubuntu 16.04 (Xenial Xerus) that brings more bug fixes and some improvements for your mobile devices. Some of the new features included in Ubuntu Touch OTA-22 are WebGL support on capable devices for better rendering of 2D and 3D graphics, an interactive blur effect for the application drawer on devices that support it, fingerprint support for OnePlus 5T, as well as rotation support for the greeter (a.k.a. login screen). # ⚓ Ubuntu_Docking⠀⇛ Operating Systems have some type of docking mechanism that allows a user to choose the apps to run. By default, Ubuntu 20 and 21 use Gnome. The typical dock placement is to the left side of the desktop. With Linux being modular, we can change the docking program and try something new. Looking around, a lot of users seem to talk about Plank. # ⚓ Canonical_and_CoreSpace_Partner_to_Provide_‘One-Stop Shop’_for_Private_Clouds [Ed: This is clearly not journalism but a mildly-edited press release, pushed in a Microsoft site by a Microsoft booster]⠀⇛ Canonical, U.K.-based publisher of the Ubuntu Linux distribution, and Infrastructure-as-a- Service provider CoreSpace this week announced a partnership aimed at making it easier for organizations to set up, customize, and manage private clouds. o § Devices/Embedded⠀➾ # § Open Hardware/Modding⠀➾ # ⚓ Arduino_Pro_is_Driving_Industry_4.0_Innovation_with TinyML⠀⇛ Wevolver’s previous article about the Arduino Pro ecosystem outlined how embedded sensors play a key role in transforming machines and automation devices to Cyber Physical Production Systems (CPPS). Using CPPS systems, manufacturers and automation solution providers capture data from the shop floor and use it for optimizations in areas like production schedules, process control, and quality management. These optimizations leverage advanced data Internet of Things (IoT) analytics over manufacturing datasets, which is the reason why data are the new oil. [...] Within these platforms, users collect real- world sensor data, train ML models on the cloud, and ultimately deploy the model back to an Arduino device. It is also possible to integrate ML models with Arduino sketches based on simple function calls. AutoML pipelines ease the tasks of (re)developing and (re)deploying models to meet complex requirements. The collaboration between Arduino and ML platforms enables thousands of developers to build applications that embed intelligence in smart devices such as applications that recognize spoken keywords, gestures, and animals. Implementing applications that control IoT devices via natural language or gestures is relatively straightforward for developers who are familiar with Arduino boards. Arduino has recently introduced its new Arduino Pro ecosystem of industrial-grade products and services, which support the full development, production and operation lifecycle from Hardware and Firmware to Low Code, Clouds, and Mobile Apps. The Pro ecosystem empowers thousands of developers to jump into Industry 4.0 development and to employ advanced edge analytics. # ⚓ Inkplate_6COLOR_–_A_5.8-inch_e-paper_color_wireless display_(Crowdfunding)_–_CNX_Software⠀⇛ Inkplate 6COLOR is a 5.8-inch color e-paper display equipped with ESP32 WiSoC to provide WiFi and Bluetooth LE connectivity, and programmable with the Arduino IDE or MicroPython. We’ve covered Inkplate ESP32-based e-paper displays since Inkplate 6 was launched in 2019, and since then the company introduced a larger model and an upgraded variant with a touchscreen display and higher resolution. But so far, all were grayscale models, and Inkplate 6COLOR is the first to come with color, or more exactly 7 colors. # ⚓ TTGO_T-Block_modular_ESP32_devkit_supports_“Trolley” covers_acting_as_display,_buttons,_sensor,_proto_area, etc…_–_CNX_Software⠀⇛ When I first LilyGO TTGO T-Block ESP32 devkit with an enclosure and a display it reminded me of the M5Stack Core2 devkit, but it’s actually different as LilyGO designed a modular system that allows users to change the functionality of the top cover with expansion boards called “Trolleys”. That means TTGO T- Block can be fitted with a small e-Ink display, a prototyping cover, an RGB LED matrix, a small board that supports various MQ gas sensors, touch buttons, or a Trolley board equipped with headers compatible with common Arduino modules. # ⚓ Breakbeats_Courtesy_Of_The_RP2040_|_Hackaday⠀⇛ While one often listens to songs or albums in full, sometimes you just want to lay down a simple beat. [todbot]’s latest project promises to do just that. The build relies on a Raspberry Pi Pico or any other RP2040-based microcontroller board, and is programmed in CircuitPython. The PWM feature is used for audio output, and it’s loaded with different WAV samples of the classic “Amen” break. # § Mobile Systems/Mobile Applications⠀➾ # ⚓ Android_13_Developer_Preview_–_9to5Google⠀⇛ # ⚓ Android_13’s_first_developer_preview_includes_more theming_options_–_The_Verge⠀⇛ # ⚓ Mysterious_Camera_Obfuscator_app_appears_in_Android 13_DP1⠀⇛ # ⚓ Android_12_One_UI_4.1_features_explained_by_Samsung in_new_video_–_SamMobile⠀⇛ # ⚓ Redmi_10_Global_bags_Android_12-based_MIUI_13,_is_one of_the_first_budget_offering_do_so⠀⇛ # ⚓ Realme_9_Pro_duo_confirmed_to_launch_with_Realme_UI 3.0_(Android_12)_–_GSMArena.com_news⠀⇛ # ⚓ Google’s_Material_You_dynamic_color_theming_coming_to more_Android_12_phones_–_Liliputing⠀⇛ # ⚓ OnePlus_Nord_CE_2_will_get_two_major_Android_updates, more_specs_leak_–_GSMArena.com_news⠀⇛ # ⚓ These_Android-Powered_Walkmans_Should_Please_Your Ears⠀⇛ # ⚓ Google_Pixel_3_and_Pixel_3XL_Getting_Android_Update For_One_Last_Time⠀⇛ # ⚓ 5_best_browsers_not_named_Chrome_to_use_with_your Android_phone⠀⇛ # ⚓ How_to_Open_and_Convert_HEIC_Images_on_Android⠀⇛ # ⚓ Wger_is_a_privacy-first_Libre_Workout_assistant_App with_cloud_support_for_Professionals_and_team⠀⇛ Wger is a free, privacy-first workout progress and fitness tracker app for android. The wger app is your personalized fitness diary – but you own your data. Use the REST API to access and do amazing things with it. The app is powered by a community of developers, who take care of its backend, and Android client. The app is consisting off: a client android app that is built with Flutter, and a backend server application that keeps your data private, safe and secure. The backend app is built with Django, which can be installed easily on any server either from source or using Docker. [...] GNU Affero General Public License v3.0. o § Free, Libre, and Open Source Software⠀➾ # ⚓ My_work_on_tool_vs_library⠀⇛ I’m the lead developer in the curl project. We make the command line tool curl and the library libcurl, for doing Internet transfers. The command line tool uses the library for all the internet transfer heavy lifting. The command line tool is somewhat of a shell binding to access libcurl. We make these things. We recently surpassed 1,000 authors. I lead the project and I have done the most number of commits per month in curl for the last 79 months, and in fact in 222 of the 267 months we have stats for. # ⚓ The_syslog-ng_Insider_2022-01:_Reboot;_Sequence;_Monterey; CentOS_9;_–_Blog_–_syslog-ng_Community_–_syslog-ng Community⠀⇛ Balázs Scheidler, founder of the syslog-ng project, started a new blog where he details why and how he started to work on syslog-ng even more actively. He also asks for your feedback! “syslog-ng has been around for decades: I started coding the first version of syslog-ng in September 1998, circa 24 years ago. The adoption of syslog-ng skyrocketed soon after that: people installed it in place of the traditional syslogd across the globe. It was packaged for Debian, Gentoo, SUSE and even commercial UNIXes. It became a default logging daemon in some of these Linux distributions. Commercial products started embedding it as a system component. Over the years however I feel that syslog-ng has become a trusted piece of infrastructure, few people really care about. I set out to change that.” # § Events⠀➾ # ⚓ Our_experiences_hosting_the_FOSS_on_Mobile_Devices Devroom_at_FOSDEM_2022_–_Purism⠀⇛ FOSDEM is an annual conference promoting the use of free and open source software. It usually takes place Brussels in early February but due to the ongoing pandemic it took place online this year. Guido, Federico and Evangelos hosted a variety of presentations around free software in mobile devices in a dedicated devroom (a devroom is a place where developers meet and showcase their projects to the public). We want to take the opportunity to thank everyone in the community and our team for giving a presentation or hosting a panel discussion: you helped making this event a great success and (most importantly) a lot of fun! [...] In November 2021, we wrote a proposal for a devroom and were happy to hear that it had been accepted. After the call for participation was published we received quite a few submissions for talks ranging from kernel and boot loader topics up to UI design, distributions and social aspects. On Saturday Martin gave an informative talk about what the kernel team has been working on. He covered updates on how the upstreaming efforts towards Mainline Linux Kernel is progressing. [....] While we highlighted the contributions from our team, we are very thankful to everyone who presented this year and want to encourage our readers to also check out all the interesting talks by the community. We hope to see you next year in person where we can share some (real) waffles. # ⚓ FOSDEM_2022:_my_experiences,_sudo_talk_answers_| Random_thoughts_of_Peter_‘CzP’_Czanik⠀⇛ Why do I say that FOSDEM is the best virtual event? Of course, even they cannot re-create everything from a real-life event, but it is probably the closest and there are even some improvements compared to IRL events. All talks are pre-recorded and recordings are played back automatically, so there are no schedule problems. As they are pre-recorded, even if the presenter has technical problems, like I had an unstable Internet connection due to storm damage, everyone can still watch the talks. Talks are available as a simple video stream, but if you register, then there is a live chat where you can ask and upvote questions. There were lively discussions during both of my syslog-ng and sudo talks, and the questions are also answered live during the video stream after the playback is finished. If the time is up, attendees can stay in the virtual room and watch the next talk starting automagically, or they can also have a hallway track with the presenter. Instructions are printed in the chat and I had some good discussions after my talks in this way. # § SaaS/Back End/Databases⠀➾ # ⚓ PostgreSQL:_PostgreSQL_14.2,_13.6,_12.10,_11.15,_and 10.20_Released!⠀⇛ The PostgreSQL Global Development Group has released an update to all supported versions of PostgreSQL, including 14.2, 13.6, 12.10, 11.15, and 10.20. This release fixes over 55 bugs reported over the last three months. # § Productivity Software/LibreOffice/Calligra⠀➾ # ⚓ LibreOffice_7.3:_A_week_in_stats⠀⇛ One week ago, we announced LibreOffice 7.3, our brand new major release. It’s packed with new features, and has many improvements to compatibility and performance too. So, what has happened in the week since then? Let’s check out some stats… # ⚓ Colibre_Between_7.2_and_7.3_Version⠀⇛ Here come just a quick comparison between Colibre icon theme in LibreOffice 7.2 (still) and 7.3. (fresh) version. Can you spot the difference(s)? Quite tiny, isn’t it? # ⚓ Working_with_LibreOffice_SDK_Examples_–_LibreOffice Development_Blog⠀⇛ Do you want to write a program that uses LibreOffice to convert different formats, or otherwise work with LibreOffice from another process? A solution would be using LibreOffice SDK. In order to use the SDK with a binary installation of LibreOffice, you have to install it first from the “SDK and Source code” section of the LibreOffice download page. Otherwise, if you are building LibreOffice from the source, you have to use –enable-odk in order to be able to use SDK. There are many examples shipped with the LibreOffice SDK, that are good to understand the SDK and get an idea of it: # § Programming/Development⠀➾ # ⚓ Qt_5.15_Extended_Support_for_subscription_license holders⠀⇛ For certain products with life cycles calculated in decades, Qt Extended Support can provide good insurance over the course of its life. Qt will offer an additional year of free Qt 5.15 LTS Extended Support for customers with a valid Qt for Application Development Enterprise, Qt for Device Creation Professional, or Qt for Device Creation Enterprise subscription license. # ⚓ How_to_use_libportal/libportal-qt_–_Jan_Grulich⠀⇛ There was a blog post from Peter Hutterer about Flatpak portals posted few months back. Peter explained what are portals and how do they work. Portals are used mostly because of security and sandbox/Wayland restrictions. Many times your only way to get access outside (opening a file, sending a notification, sharing a screen, etc.) is to use a portal. For most use-cases applications or developers don’t need to care about them as their support is usually implemented in libraries they use. For example Qt and GTK use portals internally so apps can use still the same APIs as before and they don’t need to worry about their apps not working in sandboxed environments. BUT there are still scenarios where libraries have unsufficient or none portal support, or a different options are desired so what are the options in this case if you still need to use portals? # ⚓ Realloc_C⠀⇛ The concept of the realloc() function in the C programming language will be discussed in this article. To begin with this concept, we must know about the concept of memory allocation and the different functions of allocating memory in C. There are two types of memory allocation in the C programming language: Static memory allocation and Dynamic Memory Allocation. # ⚓ Case_Stellantis:_One_HMI_product,_4_unique_vehicle brands⠀⇛ As announced earlier this month, the Qt framework was used to develop Stellantis’s newly launched in-vehicle HMI across its iconic portfolio of European car brands. The project kicked off in 2018, and the first vehicles reached their happy new owners in 2021. # § Shell/Bash/Zsh/Ksh⠀➾ # ⚓ Understanding_the_ASCII_Table⠀⇛ The computers normally work by understating the numbers and to translate the numbers into characters a standard is created. This standard has given a specific set digit to each character whether it’s an alphabet or any symbol and the standard is called ASCII standard. Using the ASCII for each character has made communication easy between machines and humans. The ASCII is the acronym of the “American Standard Code for Information Interchange” and from the name it can be assumed that it is the code used for interchanging the information from machine to humans or machine to machine. # § Java⠀➾ # ⚓ What_Is_a_TreeMap_in_Java?⠀⇛ The value of a node in a tree is called the key. A binary tree is a tree, where each node does not have more than two children. A Binary Search Tree (BST) is a tree, where for each node, the right child is greater than or equal to the left child. This leads to the right half of the tree having values generally greater than those of the left half at each level. This means a binary search tree is partially sorted (a type of incomplete sorting). A BST can be kept in an array-like structure, with the root node being the first value. A binary tree can be made into different self-balancing trees with different sets of additional conditions, such as the AVL tree and the Red-Black Tree. The TreeMap in Java is a red-black tree. However, each node consists of a key and corresponding value (key/value pair) instead of just a key. Each key/ value pair would be one element in an array-like structure. This article explains how to use a TreeMap in Java, beginning with a binary search tree, followed by the red-black tree, and then the Java TreeMap. # ⚓ Stack_and_Queue_in_Java⠀⇛ This article explains stack and queue in Java, beginning with the stack class. Stack is LIFO and Queue is FIFO – see details below. # ⚓ Priority_Queue_in_Java⠀⇛ Assume that you offer service to three different people standing in front of you. The third person happens to be your friend. The service is supposed to be first-come_first-served. With first- come_first-served, the first person has the greatest priority; the second person has the greater priority; the third person, the lesser priority, and so on. You will not be punished, if you do not observe first-come_first-served. You decided to serve your friend first, then the first person, followed by the second person. This means you gave your friend the greatest priority. Looking at the scenario from the point of view of a robot, the third position had the greatest priority. The next day, the same three people came. This time, your friend is in the middle. You decided to serve him first, ahead of the person who came first, then the third person, and finally, the first person. So, this time, according to the robot, position 2 has the greatest priority, followed by position 3. On the third day, your friend is first, and you do first-come_first-served. The conclusion by anybody, and the robot, is that priority depends on who is concerned and by the position of each person. Note: in real life, priority does not always depend on first- come_first-served. # ⚓ Pair_Class_for_Java_and_Not_for_JavaFX⠀⇛ Each line is a pair of key/value. The name of a fruit is the key, and its color is its value. It is possible to have another list where the keys are numbers or the values are numbers, or both keys and values are numbers. In the above list, the keys are strings and the values are strings. JavaFX is a Java library that is not installed with Java. It has a class called Pair, to be used for handling pairs. The problem with using the Pair class with Java, is that the programmer still has to install JavaFX onto Java, and learn how to use JavaFX. # ⚓ Java_StringBuilder⠀⇛ A string object, instantiated from the Java String class, is an object that encapsulates a string literal. The problem with the string object in Java is that the literal characters cannot be modified. The StringBuffer class comes to the rescue. The literal for the StringBuffer is mutable. The StringBuffer also has the advantage of being thread-safe (safe for use by multiple threads). However, operations with the StringBuffer can be relatively long. So, there is a simpler form of the StringBuffer class, which is the StringBuilder class. StringBuilder is not thread-safe. The class is in the java.lang.* package, and does not need importation. This article explains the basics of the StringBuilder. # ⚓ Java_Collections_Sort_and_Arrays_Sort⠀⇛ ArrayList and the Vector are each examples of a list in Java. There are other types of lists. A Collections class has the sort() method to sort a list in ascending order. It also has the reverseOrder() method, which enables sorting in descending (reverse) order. The reverseOrder method is not used ordinarily. It is used as an argument in one of the overloaded sort () methods. The Collections class is in the java.util.* package, which has to be imported by the programmer to be used. # ⚓ How_to_Read_From_a_Local_File_in_Java⠀⇛ A local file is in the hard drive or a flash drive attached to the USB port. Files can be classified into two categories: text files and byte files. Typical text files are files created by a text editor. The image file is an example of a byte file consisting mainly of raw bytes. This article gives a basic explanation of how to read local text and byte files in Java. To read a text file, use the class, FileReader. To read a byte file, use the class, FileInputStream. Both classes are in the java.io.* package, which should be imported. The first half of this article deals with reading text files, and the second half deals with the reading of byte files. * § Leftovers⠀➾ o § Hardware⠀➾ # ⚓ A_Simple_3D_Printed_Rover_Design_|_Hackaday⠀⇛ There are plenty of RC cars and robot platforms out there that you can buy. However, there’s an understanding that’s gained from building your own rover from the ground up. Which is precisely what [Alex] got from developing this compact 3D printed rover design. The design is by no means fast; it’s intended more for crawling around “at a slow deliberate pace” as [Alex] puts it. Off-the-shelf 12 V gear motors are used to provide plenty of torque to get around. The modular design means that it can be built with just wheels, or set up with tracks fitted for additional performance in softer terrain. Skid steering is used to turn the platform. # ⚓ How_Software_Developers_Get_Creative_and_Improvise_–_Random [Tech]_Stuff⠀⇛ Two days ago, I was going through a desk drawer filled with computer cables, adapters and drives and stumbled upon a tool that proved to be beyond invaluable to me back in 2009 or so. It is a mini USB [spinning or magnetic] hard disk drive (HDD) sealed in a 2 by 2 inch enclosure. During my lunch hour [at a nearby coffee shop] and at home, using my 9 inch ASUS Eee PC, I would rely on this mini HDD to develop my RapidDisk driver. # ⚓ Keebin’_With_Kristina:_The_One_With_The_Ballpoint Typewriters_|_Hackaday⠀⇛ So you want to minimize finger movement when you type, but don’t have three grand to drop on an old DataHand, or enough time to build the open-source lalboard? Check out these two concept keebs from [SouthPawEngineer], which only look like chord boards. [...] The designers behind Glove80 are enthusiasts — an entrepreneur and and engineer with 18 years of ergo keyboard use under their fingers. They did over 500 ergo experiments and built really cool-looking modular test rigs in order to build a keyboard that is purported to be comfortable for all hand sizes. They weren’t originally planning to commercialize this keyboard, but luckily, someone convinced them it should be shared with the world. This Bluetooth split has 80 low-profile keys (hence the name), all of which are the same size — 1u. That makes it easy to swap layouts and keycaps however you like. The only thing I don’t care for is that it’s only available with red switches, and I think at this point, y’all know how I feel about reds. On the bright side, there’s a stretch goal in place to add browns and whites to the switch offering, but that is roughly $80,000 away as I type this. I’ll be checking back later in the month for sure. o § Integrity/Availability⠀➾ # § Proprietary⠀➾ # § Pseudo-Open Source⠀➾ # § Openwashing⠀➾ # ⚓ Open-Source_Company_LINAGORA_is_Working on_a_Google_Drive_Alternative [Ed: Misleading. Not FOSS. "It's FOSS" bases this headline, with the hyphen, on openwashing agenda. Their site makes it clear it's not what's claimed.]⠀⇛ # § Security⠀➾ # ⚓ Security_updates_for_Thursday_[LWN.net]⠀⇛ Security updates have been issued by Debian (firefox-esr and openjdk-8), Fedora (phoronix-test-suite and php- laminas-form), Mageia (epiphany, firejail, and samba), Oracle (aide, kernel, kernel-container, and qemu), Red Hat (.NET 5.0 on RHEL 7 and .NET 6.0 on RHEL 7), Scientific Linux (aide), Slackware (mozilla), SUSE (clamav, expat, and xen), and Ubuntu (speex). # ⚓ Bunnie_Huang’s_Plausibly_Deniable_Database_– Schneier_on_Security⠀⇛ I have been thinking about this sort of thing for many, many years. (Here’s my analysis of one such system.) I have come to realize that the threat model isn’t as simple as Bunnie describes. The goal is to prevent “rubber-hose cryptanalysis,” simply beating the encryption key out of someone. But while a deniable database or file system allows the person to plausibly say that there are no more keys to beat out of them, the perpetrators can never be sure. The value of a normal, undeniable encryption system is that the perpetrators will know when they can stop beating the person — the person can undeniably say that there are no more keys left to reveal. # § Privacy/Surveillance⠀➾ # ⚓ Things_To_Follow_Before_Selling_A_Used Phone:_Do’s_and_Don’ts⠀⇛ When a new model of a phone company has released, most of us just try to sell the previous one to buy the latest one. Our Smartphone has now become a part of our life, and so, we always want to stay updated. However, many of us often find selling a used phone challenging. If you are one of them, you are on the right track. Very often, we sell our phone, and all the files are gone with it. Often, we lost our accounts and other essential files with it. Basically, there are some safety factors we all should make sure of before selling a used phone. Also, many of you have a lot of questions about the same factor. Today, our discussion will follow all the factors about selling a second-hand phone. We will talk about where to get buyers, how to set the value, things we should do, and what we shouldn’t do before selling a phone. So, don’t skip a part and stay with us till the end. I am sure you will learn about something essential. # ⚓ Senate_forwards_EARN_IT_Act_to_full_vote with_no_changes_to_encryption_language_– CyberScoop⠀⇛ The Senate Judiciary Committee Thursday forwarded legislation designed to crack down on child sexual abuse materials online to a full floor vote, despite warnings from privacy advocates that the bill could pose a major threat to encrypted technologies. The Eliminating Abusive and Rampant Neglect of Interactive Technologies Act (EARN IT Act), introduced for the first time in 2020 by Sens. Lindsey Graham, R- S.C., and Richard Blumenthal, D- Conn., would remove legal liability immunity from tech platforms found in violation of federal or state laws regarding child sexual abuse materials (CSAM). In 2020 the EARN IT Act sailed out of committee but failed to see a floor vote before the end of the 116th Congress. # ⚓ Just_How_Much_Does_Your_Phone_Listen_to Sell_You_Targeted_Ads? [Ed: Notice how they’ve reduced it to “how much”, not “if”]⠀⇛ o § Digital Restrictions (DRM)⠀➾ # ⚓ Ask_Hackaday:_What’s_Going_on_with_Mazdas_in_Seattle? [Ed: Stop buying “modern”_cars if you want something that consistently works]⠀⇛ The station also reports that Mazda dealers in the area are getting flooded with calls for the last three weeks about the issue. There’s a theory about 5G smartphone deployment but, honestly, we aren’t buying it. ䷩ 𝚕𝚒𝚗𝚎 3640 ╒═══════════════════ 𝐃𝐀𝐈𝐋𝐘 𝐋𝐈𝐍𝐊𝐒 ═════════════════════════════════════════════╕ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 02.10.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ Links_10/2/2022:_Sparky_6.2_and_Learning_Perl_in_2022⠀✐ Posted in News_Roundup at 9:51 am by Dr. Roy Schestowitz 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈ § Contents⠀➾ * GNU/Linux o Distributions o Devices/Embedded * Free_Software/Open_Source * Leftovers * § GNU/Linux⠀➾ o § Audiocasts/Shows⠀➾ # ⚓ BSDNow_441:_Migration_to_BSD⠀⇛ Migrating our servers from Linux to FreeBSD, Cluster provisioning with Nomad and Pot on FreeBSD, LibBSDDialog, FreeBSD 13.0 Base Jails with ZFS and VNET, and more. # ⚓ The_Linux_Link_Tech_Show_Episode_942⠀⇛ Joels loves visual code studio and you should too. Slackware 15 released # ⚓ FLOSS_Weekly_667:_Open_Source_Onboarding_–_Ramón_Huidobro, CodeSee⠀⇛ Ramón Huidobro of CodeSee joins Doc Searls and Shawn Powers on this episode of FLOSS Weekly. Open source is bigger and wilder than ever, which means onboarding talent to a project is a serious thing. And nobody knows more or better about onboarding than Huidobro of CodeSee, which visualizes dependencies and much more in your codebase. In this episode, Huidobro clues the FLOSS Weekly hosts and listeners into what’s involved with visualizing codebases, bringing talent in, working as ensembles and much more. o § Kernel Space⠀➾ # ⚓ Handling_argc==0_in_the_kernel_[LWN.net]⠀⇛ By now, most readers are likely to be familiar with the Polkit vulnerability known as CVE-2021-4034. The fix for Polkit is relatively straightforward and is being rolled out across the net. The root of this problem, though, lies in a misunderstanding about how programs are run on Unix-like systems. This problem is highly likely to exist in other programs, so it would be nice to find a more general solution. The best place to address this issue may be in the kernel, but properly working around this misunderstanding without causing regressions is not an easy task. o § Instructionals/Technical⠀➾ # ⚓ Install_Budgie_Desktop_Environment_on_Debian_11_Bullseye_– LinuxCapable⠀⇛ Budgie is a desktop environment that is free and open-source that uses GNOME technologies such as GTK (> 3.x) and is developed by the Solus project, which also contributes to its design through contributors from numerous communities, including Arch Linux; Manjaro; openSUSE Tumbleweed – among others. # ⚓ How_to_Install_Let’s_Encrypt_SSL_with_Apache_on_Debian_11⠀⇛ How to Install Let’s Encrypt SSL with Apache on Debian 11. You will also learn to configure virtual host with Apache and secure your setup with HTTPS redirection. This setup is tested on Google cloud, so it will work on all cloud hosting services like AWS, Azure or any VPS or any dedicated servers running Debian 11. # ⚓ How_to_install_Cinnamon_Desktop_on_Debian_11_|_FOSS_Linux⠀⇛ One of the best features of Debian 11 is the support for different desktop environments other than the default option that it comes with. Besides the GNOME desktop environment (DE) that Debian 11 supports by default, you can install other DEs like Xfce, Cinnamon, Mate, etc. You can choose to install any one or more of these DEs on your Debian 11 installation. So even if you already have the GNOME DE installed, do not worry; you can still install another DE (albeit you need to be careful when keeping multiple DEs on your Debian installation). Cinnamon is a fantastic choice for a desktop experience. It has many unique features, loads of themes, and incredible customizability. It is stable and is regularly supported by the community. Cinnamon is an open-source and free desktop environment with a core focus on adaptability, speed, and unambiguous clarity. We found Cinnamon a worthy Linux desktop environment due to its fantastic versatility and support for so many features. You can read all about that here. So now that you have finally decided to install the Cinnamon desktop environment on your Debian 11 installation, then you have come to the right page. This article will describe how to install it in a few different ways. Whether you want to install Cinnamon in addition to a desktop environment already installed on your Debian 11, or you want to do a fresh installation of Debian 11 with Cinnamon, we will cover both methods in this article. # ⚓ How_to_Find_Date_and_Time_Linux_OS_was_Installed_– Putorius⠀⇛ A while back I built my friend a fairly simple custom application for his business. It was just a web front end with a MySQL database and never meant for long term use. However, I just spoke with him and he said it was still running. He also mentioned that the only time he ever touched the server was about 2 years ago when there was a power outage. I was amazed and wondered just how long it has been since I brought the server online. I needed a way to find the date and time of the OS installation (I am just a curious person). If you are also a curious person you are probably wondering how long the server was running? Keep reading to find out how to find the date and time Linux OS was installed, as well as how long my buddies system has been running with zero maintenance or updates. # ⚓ How_to_Add_Windows_Host_to_Nagios_Ubuntu_Server_–_Part_3⠀⇛ In Part 1 and Part 2 of this Nagios server article series, we managed to learn how to install Nagios on an Ubuntu server and add a remote Linux host to the Nagios server for easy monitoring of its defined services. Part 3 and the final portion of this article series will walk us through adding a remote Windows host to the Nagios server. Just like the Linux operating system architecture, the Windows OS also embraces important OS services critical to the performance of your machine. They include memory usage, Disk Usage, and CPU load. For us to remotely monitor such Windows OS services from an Ubuntu hosted Nagios server, the Windows machine needs to first accommodate the NSClient++ addon, which acts as a Windows-to-Nagios proxy, making it possible for Nagios and Windows to communicate via the check_nt plugin originating from the Nagios Monitoring Server. # ⚓ Install/Upgrade_HandBrake_on_Ubuntu_22.04_LTS_– LinuxCapable⠀⇛ HandBrake is an open-source video transcoder that can be downloaded for free and supports Mac, Windows, or Linux to convert videos in many different formats into more commonly used ones like MP4 with minimal file size reduction – making it efficient at reducing the amount of data consumed on your hard drive while also helping save time! In the following tutorial, you will learn how to install Handbrake on Ubuntu 22.04 LTS Jammy Jellyfish. # ⚓ Deploy_MySQL_and_phpMyAdmin_with_Docker_–_The_New_Stack⠀⇛ Databases are a key component of your docker containers. Without the ability to access data, you might find those containers to be a bit less-than- capable. To that end, you might deploy MySQL via a Docker container and then connect another container to the database for data. However, what about populating that database with data? Or what about managing the database? You can’t just pull down a docker image, deploy a container with it, and assume it will magically populate with the necessary data for your containerized application. # ⚓ How_to_install_Shotcut_video_editor_on_Zorin_OS_16_– Invidious⠀⇛ # ⚓ How_to_install_Swift_programming_language_on_Ubuntu⠀⇛ Swift is a multi-paradigm, general-purpose compiled programming language developed by Apple Inc. and the open source community (only as of version 2.2) . First released in 2014, Swift was developed as a replacement for Apple’s previous programming language Objective-C, as Objective-C has remained largely unchanged since the early 1980s and lacked modern language features. # ⚓ Install_Squid_Proxy_Server_on_Ubuntu_20.04_LTS_Linux⠀⇛ Squid is a web proxy that used my wide range of organizations. It is often used as a caching proxy and improving response times and reducing bandwidth usage. It has a wide variety of uses, including speeding up a web server by caching repeated requests, caching web, DNS and other computer network lookups for a group of people sharing network resources, and aiding security by filtering traffic. Although primarily used for HTTP and FTP, Squid includes limited support for several other protocols including Internet Gopher, SSL, TLS and HTTPS. # ⚓ How_to_Install_I2P_on_Debian_Server:⠀⇛ The Invisible Internet Project (I2P) is a fully encrypted private network layer that has been developed with privacy and security by design in order to provide protection for your activity, location and your identity. The software ships with a router that connects you to the network and applications for sharing, communicating and building. # ⚓ How_To_Install_and_Use_AngularJS_on_Ubuntu⠀⇛ AngularJS was a JavaScript-based open-source front- end web framework for developing single-page applications. It was maintained mainly by Google and a community of individuals and corporations. # ⚓ How_to_install_osTicket_on_CentOS_8_/RHEL_8⠀⇛ osTicket is a widely-used open source support ticket system. It seamlessly integrates inquiries created via email, phone and web-based forms into a simple easy-to-use multi-user web interface. Manage, organize and archive all your support requests and responses in one place while providing your customers with accountability and responsiveness they deserve. # ⚓ How_to_install_Mupen64Plus_on_a_Chromebook⠀⇛ Today we are looking at how to install Mupen64Plus on a Chromebook. Please follow the video/audio guide as a tutorial where we explain the process step by step and use the commands below. # ⚓ New_To_Linux?_Learn_The_Jargon!_–_Invidious⠀⇛ Are you new to Linux or thinking about switching to Linux from Windows or Mac? If so, you may find some of the Linux terminology kind of confusing. So today, I’m going to demystify a few of the common terms within Linux jargon… # ⚓ Mastodon_Setup_with_Docker_and_Caddy_|_~rriemann⠀⇛ In my previous post, we setup a Mastodon server using Docker and nginx-proxy. In this post, we use instead the web server Caddy. I’ve only discovered Caddy a week ago. The configuration of Mastodon is now even simpler and shorter. Caddy redirects traffic automatically from HTTP to HTTPS and configures HTTPS for all domains via Let’s Encryption. :rocket: Our starting point is the docker-compose.yml shipped with the Mastodon code. Why is it not enough? It assumes you setup up proxy with HTTPS endpoints yourself. So let’s integrate this as well in Docker. o § Games⠀➾ # ⚓ Party-based_dungeon_crawling_RPG_‘Escape_The_Mad_Empire’ looks_awesome_|_GamingOnLinux⠀⇛ Ready for a big mixed bag of genres? Escape The Mad Empire is an upcoming pixel-art game that combines elements of dungeon crawling, roguelikes, tactical battles and a little base building too. # ⚓ Creative_Assembly_show_off_online_play_for_Total_War: WARHAMMER_III_|_GamingOnLinux⠀⇛ Total War: WARHAMMER III is due for release on February 17, with a Linux port from Feral Interactive due sometime soon after and we now have the first footage of online play. CA say that WARHAMMER III is “bigger than ever” with more game modes and players available than previous entries in the series. [...] Feral Interactive who are doing the Linux port have so far ignored our emails asking for information on cross-platform multiplayer in their version, so we fully expect it to not have online play with the Window build. # ⚓ Developer_of_Netherguild_looking_for_Alpha_testers_| GamingOnLinux⠀⇛ Netherguild is an upcoming turn-based tactical roguelite dungeon-crawler that will be offering native Linux support, and you can try out the Alpha version right now. Long-time readers might recognise it, as we covered it initially quite early on back in 2019. # ⚓ Eggnut_decide_not_to_bring_Backbone_to_Linux_officially_| GamingOnLinux⠀⇛ After a successful Kickstarter campaign back in 2018, developer Eggnut released their post-noir narrative adventure Backbone in June 2021. Sadly, they’ve decided not to go through with the official Linux support on it. # ⚓ More_than_400_Titles_Ready_(Verified_and_Playable)_for_the Steam_Deck_–_Boiling_Steam⠀⇛ Today marks another milestone for the Steam Deck Verified and Playable games. After a few days of very few additions to the list, Valve has bumped up the list significantly in the last few hours. We now have 412 titles (at the time of writing) in total that should work on the Steam Deck, split in two categories… # ⚓ Steam_Deck_Verified_jumps_to_over_240_titles_| GamingOnLinux⠀⇛ Each day we’re stepping ever close to the Steam Deck releasing and it seems Valve’s testing is beginning to speed up, with now well over 200 titles now fully Steam Deck Verified. Around 6 days ago, it was only at 120. The actual number is 243 according to the unofficial SteamDB tracker. An impressive amount of course though, one that absolutely dwarfs any of the modern console launches from Sony, Microsoft and Nintendo and it’s only going to get bigger before release. # ⚓ AI_driver_can_beat_some_of_the_world’s_best_players_at_Gran Turismo⠀⇛ The AI, named GT Sophy, was able to execute tactical moves such as using an opponent’s slipstream to boost itself forwards and block its opponents from passing. Peter Wurman at Sony AI in New York and his colleagues trained the system using deep reinforcement learning, a type of machine learning that uses rewards and penalties to teach the AI’s neural network how to win. During training, GT Sophy, which was running on a separate computer, played the game on up to 20 PlayStation 4 consoles simultaneously. o § Distributions⠀➾ # § SUSE/OpenSUSE⠀➾ # ⚓ NINE_REASONS_CUSTOMERS_LOVE_RANCHER_|_SUSE Communities⠀⇛ We interviewed a number of existing SUSE Rancher customers and asked them what they loved about it. The findings are nothing short of astonishing! We are posting them here since they may help you with your container/cloud native journey. # ⚓ openSUSE_15.2_to_15.3_upgrade_notes⠀⇛ In a previous article I have shown how to upgrade a distro using zypper but after the first reboot some issue might always happen, that’s why I collected all the changes and the tweaks I applied switching from openSUSE 15.2 to 15.3. # § IBM/Red Hat/Fedora⠀➾ # ⚓ Fedora_Community_Blog:_Call_for_Projects_and_Mentors: GSoC_2022⠀⇛ Google Summer of Code (GSoC) is a mentorship program where people interested in learning more about open source are welcomed into open source communities by excited mentors ready to help them learn and grow as developers. Fedora Project’s participation in the past has been successful, and we would like to continue being a mentoring org. # ⚓ Kafka_Monthly_Digest:_January_2022_|_Red_Hat Developer⠀⇛ This 48th edition of the Kafka Monthly Digest covers what happened in the Apache Kafka community in January 2022. The release of Apache Kafka 3.1.0 is the big news, including updates to Kafka Connect and Kafka Streams. I’ll also discuss new KIPs and open source releases in January 2022. This is the fourth anniversary of this series! If you are interested in the history behind the Kafka Monthly Digest, last year I explained on Twitter how I got started. # ⚓ Business_savvy:_8_non-tech_skills_sysadmins_need_to know_|_Enable_Sysadmin⠀⇛ Being a successful sysadmin isn’t just about networks and cables. Here are the business skills every sysadmin needs to have. # ⚓ IT_leadership:_8_tips_to_improve_resiliency_|_The Enterprisers_Project⠀⇛ IT leaders and their teams have exhibited incredible industriousness and perseverance over the past two years, not only overcoming the challenges thrown their way but often rising above them to deliver game-changing capabilities to their organizations. There’s no rest for IT, though. The year ahead promises to put technology organizations to the test as they enable enterprises to meet rapidly changing customer demands, create better employee experiences, mitigate complex security challenges, effectively and ethically integrate emerging artificial intelligence (AI) tools, consider the impact of climate change, and ensure resilient business systems in an uncertain global environment. The only way for CIOs to tackle these challenges – and avoid burnout – is to improve their own resilience as leaders and as individuals. “When we’re exhausted and we’re burned out, we cannot think big,” says Adam Markel, author of the forthcoming book, Change Proof: Leveraging the Power of Uncertainty to Build Long-Term Resilience. “And [IT leaders] have to constantly be bigger than the problems that are presented. They have to be able to think outside of the bounds of whatever challenge or problem is coming at them.” # ⚓ Fedora_and_pkexec_[LWN.net]⠀⇛ The nasty vulnerability in pkexec has been rippling through the Linux world, leading to lots of security updates to the underlying polkit authorization toolkit. It also led to a recent discussion on the Fedora devel mailing list about whether pkexec, which runs a program as another user, is actually needed—or wanted—in some or all of the distribution’s editions. But pkexec is used by quite a few different Fedora components, particularly in desktop-oriented editions, and it could perhaps be a better choice than the alternatives for running programs with the privileges of another user. Adam Williamson raised the issue on the day after the disclosure of the PwnKit flaw. It is, as he noted, a longstanding (since the first version of pkexec in 2009) local root privilege escalation. # § Debian Family⠀➾ # ⚓ Steinar_H._Gunderson:_Faster_man-db⠀⇛ As of a few days ago, the man-db version in Debian unstable (2.10.0) is a lot faster in rebuilding its index (used for whatis/ apropos). Earlier versions would use as much as a few minutes in the dpkg trigger; now it’s about 40 times as fast, and rarely takes more than a few seconds even for large upgrades. (We’ve discussed putting it in the background, but it’s really not that annoying anymore.) The code is basically all Colin’s; I’ll take credit only for nagging him and providing a straw man implementation to demonstrate the speedup was possible in the first place. # ⚓ Sparky_6.2⠀⇛ The second update of Sparky 6 of the stable line – 6.2 is out. It is a next, quaterly updated point release of Sparky 6 “Po Tolo” of the stable line. Sparky 6 is based on and fully compatible with Debian 11 “Bullseye”. # § Canonical/Ubuntu Family⠀➾ # ⚓ Download_Trisquel_10_“Nabia”_with_Mirrors,_Torrents and_Checksums⠀⇛ Trisquel 10 Nabia is released 1 February 2022! It is the latest version of the computer operating system that is completely free software, based on GNU/Linux and empowering the laptops series sold by Respects Your Freedom. Nabia, based on Ubuntu 20.04 Focal Fossa and will supported until April 2025, brings the latest enhancements, convenience and full control to software freedom users featuring a new wallpaper. This article collects Nabia download links, mirrors and torrents as well as the checksum for you. Now let’s download! o § Devices/Embedded⠀➾ # ⚓ Basler_prB-IMX8MP_embedded_vision_processing_kit_supports BCON_for_MIPI,_GigE_Vision,_and_USB3_Vision_cameras⠀⇛ Basler prB-IMX8MP is a Linux-based, NXP i.MX 8M Plus powered embedded vision processing kit working with the company’s cameras designed for factory automation, medicine, traffic and several other markets. The board is equipped with Variscite DART-MX8M-Plus system-on-module and offers multiple camera interfaces to support BCON for MIPI, GigE Vision, and USB3 Vision cameras through Basler’s pylon Camera Software Suite. # § Open Hardware/Modding⠀➾ # ⚓ Repairing_Librem_14_Part_2:_Motherboard/Screen/ Chassis_–_Purism⠀⇛ The Librem 14 is purposefully made for easy repair and upgrades. We show how simple it is to replace the RAM, WiFi, storage, and battery in part one. Next, let’s finish the teardown by removing the motherboard and screen. # ⚓ Arduino_UNO_Pinout:_PINS_Defining⠀⇛ When we need a controller of best choice, Arduino Series is best choise as it has a wide community helping new users. When you use external devices or sensors, you will need to be aware of Arduino Uno Pinout. This tutorial will explain the pinout of the Arduino Uno. As different controls have unique working and communication protocols. Here, I’m going to explain in detail each pin group. # ⚓ This_3D-printed,_three-sided_clock_tells_time_with three_hands_|_Arduino_Blog⠀⇛ Back in April 2021, Instructables user saulemmetquinn had the idea to build a fully 3D-printed clock that was based on the Triangulum constellation, which as the name implies, is a triangle. But it wouldn’t only tell the time using the typical set of hands and numbers, but also the current phase of the moon to stick with the astronomical theme. To begin, Saul made a detailed mechanical model in CAD, complete with every facet and gear necessary for it to run. In short, the clock contains a spinning stepper motor that completes one rotation every 15 seconds (a ratio of 1:15). When combined with a series of reduction gears, this rate slows all the way down to 1:43200 for a single hour. In addition to the second, minute, and hour hands, an extra set of gears were added with a collective ratio of 99:2924 that keep track of the current moon phase. # § Mobile Systems/Mobile Applications⠀➾ # ⚓ Sony’s_got_two_new_preposterously_priced_Android- powered_Walkman_models_for_insufferable_audiophiles⠀⇛ # ⚓ Android_TV_Continues_To_Grow_Over_Expectations⠀⇛ # ⚓ How_To_Use_Your_Phone_As_A_Remote_Control_For_An Android_TV⠀⇛ # ⚓ New_Android_12_widgets_released_for_Chrome_– PhoneArena⠀⇛ # ⚓ OnePlus_Tablet_May_Get_This_‘Special’_Android Operating_System⠀⇛ # ⚓ Android_users_put_on_alert_about_DHL_text_scam: delete_THESE_messages_|_Express.co.uk⠀⇛ # ⚓ Is_Developing_Moneymaking_Apps_for_Android_Phones Easy⠀⇛ # ⚓ Paranoid_Android_Sapphire_Alpha_2_released_for_the Xiaomi_POCO_X3⠀⇛ o § Free, Libre, and Open Source Software⠀➾ # ⚓ 8_Best_Free_and_Open_Source_Linux_Statistical_Analysis Tools⠀⇛ Science is the effort of seeking to comprehend how the physical world works. From observation and experimentation, science uses physical evidence of natural phenomena to compile data and analyze the collated information. In modern research it is essential for scientists to keep abreast of the latest statistical software. Just like the fast moving world of research, developments in statistical software and methods continue to abound. Making full use of the improvements in computer software helps to advance the pace of research. # ⚓ Useful_GUI_Email_Clients_for_Linux_Desktop⠀⇛ For the most part, users typically access their emails from a web browser. It’s fast and convenient as you can easily get in touch with your emails across any device you are using. However, there is still a significant portion of users who prefer using email clients as opposed to accessing their emails from a browser. Outlook is one of the widely used email clients in Windows. # ⚓ How_to_use_man_command_in_Linux,_important_options_for beginners_2021_–_Cyber_Pratibha⠀⇛ man command in linux is short form of manual of any tool, utility, and commands. man command is used to giving information and instruction of particular command. Instruction would be what are the possible way and option to use that command. You will find very useful and essential command, which helps you explore other command as well as troubleshoot. You get a detailed view of the command which includes NAME, SYNOPSIS, DESCRIPTION, OPTIONS, EXIT STATUS, RETURN VALUES, ERRORS, FILES, VERSIONS, EXAMPLES, AUTHORS and SEE ALSO by using man command. # ⚓ openScale:_An_open-source_weight_tracker_app_with_Bluetooth scales_support⠀⇛ If you are using Bluetooth scale devices to sync and record your weight, but you do not want to use privacy-intrusive apps which are stuffed by ads and malware scripts, then you should consider openScale. [...] The openScale app is licensed under the GPL v3. # § Web Browsers⠀➾ # § Mozilla⠀➾ # ⚓ Linux_Mint_Announces_New_Partnership_With Mozilla._What_can_we_expect_from_Firefox?⠀⇛ Linux Mint announced a new partnership with Mozilla, the company behind the Firefox browser. This announcement coincides with the release of the latest Linux Mint update Firefox operating system, which is based on Mozilla’s Firefox web browser, among other things. The new Firefox Linux partnership will allow them to share ideas and initiatives in order to advance web technologies and promote an open and accessible internet for people around the world. # ⚓ What’s_up_with_SUMO_–_February_2022_–_The Mozilla_Support_Blog⠀⇛ We decided to skip January’s update since we’ve published December’s data along with the 2021 retrospection. January was also packed with planning and many incidents that makes it such a packed month. But today, we’re finally here to give you another round of updates so, let’s dive into it! # ⚓ New_Release:_Tor_Browser_11.0.6_(Windows, macOS,_Linux,_Android)⠀⇛ Tor Browser 11.0.6 is now available from the Tor Browser download page and also from our distribution directory. This version includes important security updates to Firefox. # § Productivity Software/LibreOffice/Calligra⠀➾ # ⚓ An_attic_for_LibreOffice_Online_[LWN.net]⠀⇛ In mid-December, Thorsten Behrens, a board member for the Document Foundation (TDF), posted a seemingly simple proposal for an “attic” that would become the home of abandoned projects. No specific projects were named as the first intended residents of the attic, but the proposal clearly related to the LibreOffice Online (LOOL) project. The following discussion made it clear that the unhappiness around LOOL has yet to fade away, and that the Foundation still has some work to do when it comes to defining its relationship with its corporate members. The Document Foundation is, of course, the entity charged with furthering the development of LibreOffice and related software. LOOL, which allows collaborative editing of documents, has been under development for a decade or so; that work picked up in 2015 when TDF announced that LOOL would be “developed into a state of the art cloud application”. Over the years, though, the relationship between TDF and Collabora, the company doing the bulk of the development work for LOOL, began to sour. In mid-2020, the company complained that it could not bring in revenue to support LibreOffice developers when everything was available for free; among other things, Collabora wanted a clearer path toward making money on LOOL. Despite efforts on all sides to find a solution, Collabora stopped working on LOOL later that year, choosing instead to continue to develop that code outside the TDF under its “Collabora Online” brand. # ⚓ Bad_Code,_Licenses,_Software_Milestones_Showcase Linux_Wins_and_Losses⠀⇛ The LibreOffice Community on Feb. 2 announced the release of a major upgrade to version 7.3, a volunteer-supported free office suite for cross-platform productivity on desktop computers and laptops. The open-source suite includes a word processor, spreadsheet, database, presentation, and drawing components based on the LibreOffice technology platform for personal computing productivity. It brings a large number of improvements targeting users migrating from Microsoft Office to LibreOffice, or exchanging documents between the two office suites. This latest release features three kinds of interoperability upgrades: development of new features, speed improvements when opening large Microsoft Office files and rendering operations, and improvements to import/export filters. Plus, LibreOffice’s help system focuses on those switching from Microsoft Office. LibreOffice editions for Linux, macOS, and Windows computers offer the highest level of compatibility in the office suite market segment, starting with native support for the OpenDocument Format (ODF). In addition, LibreOffice provides filters for a large number of legacy document formats to return ownership and control to users. # ⚓ LibreOffice_QA/Dev_Report:_January_2022⠀⇛ # § Programming/Development⠀➾ # ⚓ Restartable_sequences_in_glibc_[LWN.net]⠀⇛ “Restartable sequences” are small segments of user-space code designed to access per-CPU data structures without the need for heavyweight locking. It is a relatively obscure feature, despite having been supported by the Linux kernel since the 4.18 release. Among other things, there is no support in the GNU C Library (glibc) for this feature. That is about to change with the upcoming glibc 2.35 release, though, so a look at the user-space API for this feature is warranted. The kernel makes extensive use of per-CPU data structures to avoid locking. This technique works well if the kernel takes care to disable preemption while those data structures are being manipulated; as long as a task running in the kernel has exclusive access to the data, it can safely make changes. It would be nice to be able to use similar techniques in user space, but user- space code lacks the luxury of being able to disable preemption. So a different approach, which relies on detecting rather than preventing preemption, must be used. # ⚓ Get_an_easy_start_to_coding_with_our_new_free_online course⠀⇛ # § Perl/Raku⠀➾ # ⚓ Learn_Perl_in_2022_|_Opensource.com⠀⇛ Released in early 1988, Perl is a postmodern programming language often considered a scripting language, but it is also capable of object-oriented programming. It is a mature language with tens of thousands of libraries, GUI frameworks, a spin-off language called Raku, and an active and passionate community. Its developers pride themselves on its flexibility: According to its creator Larry Wall, Perl doesn’t enforce any particular programming style on its users, and there’s more than one way to accomplish most things. # § Python⠀➾ # ⚓ Python_and_deprecations_redux_[LWN.net]⠀⇛ The problem of how to deprecate pieces of the Python language in a minimally disruptive way has cropped in various guises over the last few years—in truth, it has been wrangled with throughout much of language’s 30-year history. The scars of the biggest deprecation, that of Python 2, are still rather fresh, both for users and the core developers, so no one wants (or plans) a monumental change of that sort. But the language community does want to continue evolving Python, which means leaving some “baggage” behind; how to do so without leaving further scars is a delicate balancing act, as yet another discussion highlights. We looked in on some discussion of the topic back in December, but the topic pops up frequently. There is a policy on handling deprecations that is described in PEP 387 (“Backwards Compatibility Policy”), but the reality of how they are handled is often less clear-cut. Python has several warnings that can be raised when features slated for deprecation are used: PendingDeprecationWarning and DeprecationWarning. The former is meant to give even more warning for a feature that will coexist with its replacement for multiple releases, while the latter indicates something that could be removed two releases after the warning is added—effectively two years based on the relatively recent annual release cycle. But, as noted in that earlier discussion, the deprecation period is for a minimum of two release cycles. There are concerns that time frame is being treated as a deadline of sorts—to the detriment of some parts of the ecosystem. So on January 18, Victor Stinner, Tomáš Hrnčiar, and Miro Hrončok proposed postponing some deprecations that had been scheduled for Python 3.11, which is due in October. The message referred to an early January posting by Hrnčiar to the Python discussion forum that described the problems Fedora had encountered when building its packages using a development version of 3.11. # § Rust⠀➾ # ⚓ This_Week_In_Rust:_This_Week_in_Rust_429⠀⇛ # § C++⠀➾ # ⚓ Print_linked_list_C++⠀⇛ # ⚓ Static_cast_C++⠀⇛ # ⚓ Stoi_C++⠀⇛ # ⚓ to_String_C++⠀⇛ # ⚓ How_To_Use_ASCII_in_C++⠀⇛ # ⚓ Length_of_a_String_C++⠀⇛ # ⚓ List_iterator_C++⠀⇛ # ⚓ List_vs_vector_C++_compared⠀⇛ * § Leftovers⠀➾ o ⚓ Citius_Altius_Fortius:_the_Political_Games_Around_the_Olympics⠀⇛ The Olympic Flag which rises at every Olympic event and flies over the headquarters of the International Olympic Committee at Lausanne, Switzerland, has five intertwining rings which represent the five continents of Planet Earth and their fraternal interdependence. Perhaps better than any other human activity, sports illustrates the aspiration of all human beings to go beyond the limits, go faster, climb higher, be stronger.  In a way it is the unwritten credo of humanity, the desire for progress, moving forward, doing things better, both individually and collectively. Watching the Olympics shows us what the human being is capable of – and gives us a sense of wonderment an humility. o ⚓ Flight_Shame_in_Great_Barrington⠀⇛ Thirty years ago I was living on the Red Sea coast on the Egypt-Sudan border in an area where there were no roads. Nomadic tribesmen went down to the sea to fish and sometimes found the shore covered with plastic that drifted in on the waves. Plastic bags filled with air and skittered away over the landscape making circles in the desert wind. I think of those plastic bags when I see the small planes coming over the wooded ridges around the old farmhouse where I live in rural New York state. Since the pandemic began, there has been a dramatic increase in the number of people going up in small planes. These are coming from an airfield in Great Barrington, Mass., where the newspapers reports town hall meetings packed with local residents shouting at the owners of the Barrington airfield about the squalid atmosphere of noise pollution and intrusion—the general degradation of conditions of life they impose on the people below. o ⚓ Not_Everyone_is_Male_or_Female:_the_Problem_With_Sex Designations⠀⇛ But sex designation is not as simple as a glance and then a check of one box or another. Instead, the overwhelming evidence shows that sex is not binary. To put it another way, the terms “male” and “female” don’t fully capture the complex biological, anatomical and chromosomal variations that occur in the human body. That’s why calls are growing to remove sex designation from birth certificates, including a recent recommendation from the American Medical Association. o ⚓ An_Ancient_Egyptian_Salute_to_Russian_Olympic_Skater_Kamila Valieva⠀⇛ o ⚓ Nothing_in_film_will_ever_match_the_emotion_in_the_theatre_at_the end_of_Dr_Semmelweis⠀⇛ “Wash your hands! Wash your hands!” – shouts Academy Award winner Mark Rylance to the audience in his latest play. One of the greatest British actors of our time, most recently seen in the Netflix film Don’t Look Up, has written a play about Ignaz Semmelweis, the Hungarian ‘saviour of mothers’, which recently premiered at the Bristol Old Vic, and in which he also plays the title character. o § Science⠀➾ # ⚓ Opinion_|_Anthropocene_Means_The_Future_Is_in_Our_Hands⠀⇛ Geologists have classified most epochs in Earth’s history according to fossils, radiometric dating and composition of the strata. The widely endorsed label for our current era, the Anthropocene, describes the extent to which our collective human footprint is changing the planet. It’s a proposed “geological epoch dating from the commencement of significant human impact on Earth’s geology and ecosystems.” o § Hardware⠀➾ # ⚓ How_Can_335_Horses_Weigh_63_Pounds?⠀⇛ Koenigsegg, the Swedish car company, has a history of unusual engineering. The latest innovation is an electric motor developed for its Gemera hybrid vehicle. The relatively tiny motor weighs 63 pounds and develops 335 horsepower and 443 lb-ft of torque. Dubbed the Quark, the motor uses both radial and axial flux designs to achieve these impressive numbers. There is a catch, of course. Like most EV motors, those numbers are not sustainable. The company claims the motor can output peak power for 20 seconds and then drops to 134 horsepower/184 lb-ft of torque. The Gemera can supplement, of course, with its internal combustion engine — a 3 cylinder design. # ⚓ 3-Wheeled_Electric_Skateboard_Does_Things_Differently_| Hackaday⠀⇛ Typically, electric skateboards drive one or more wheels with brushless motors, while keeping everything mounted on otherwise fairly-standard trucks to maintain maneuverability. However, [swedishFeetballs] decided to go a different route, building a 3-wheeled design using some interesting parts. The build relies on a large combined hub motor and wheel, similar to those you would find on a hoverboard or some electric scooters; this one is a Xiaomi part sourced from eBay. It’s controlled via an off-the-shelf electric skateboard speed controller that comes complete with its own remote. The hardware is all bolted up to a custom skateboard deck built from scratch to accept the large single rear wheel. Up front, a regular skateboard truck is used. Batteries are mounted under the deck. Reportedly, the board has a top speed of 15 mph, which unsurprisingly matches that of the Xiaomi M365 the hub motor is sourced from. # ⚓ Mining_And_Refining:_Lithium,_Powering_The_Future_With Brine_|_Hackaday⠀⇛ Many years ago, I read an article about the new hotness: lithium batteries. The author opened with what he no doubt thought was a clever pop culture reference by saying that the mere mention of lithium would “strike fear in the hearts of Klingons.” It was a weak reference to the fictional “dilithium crystals” of Star Trek fame, and even then I found it a bit cheesy, but I guess he had to lead with something. Decades later, a deeper understanding of the lore makes it clear that a Klingon’s only fear is death with dishonor, but there is a species here on earth that lives in dread of lithium: CEOs of electric vehicle manufacturing concerns. For them, it’s not the presence of lithium that strikes fear, but the relative absence of it; while it’s the 25th most abundant element in the Earth’s crust, and gigatons are dissolved into the oceans of the world, lithium is very reactive and thus tends to be diffuse, making it difficult to obtain concentrated in the quantities their businesses depend on. As the electric vehicle and renewable energy markets continue to grow, the need for lithium to manufacture batteries will grow with it, potentially to the point where demand outstrips the mining industry’s production capability. To understand how that imbalance may be possible, we’ll take a look at how lithium is currently mined, as well as examine some new mining techniques that may help fill the coming lithium gap. # ⚓ Russell_Coker:_Mouse_and_Teflon⠀⇛ I had a problem with my mouse. The slippery plastic bits on the bottom weren’t glued on well and came off, which then gave more friction when moving on the desk. After asking advice on a mailing list the best suggestion was Teflon sticky tape. I bought a few meters of such tape (a lifetime supply for mouse repair) and used an 8cm strip on each side of the bottom of my mouse which made it slippery enough. o § Health/Nutrition/Agriculture⠀➾ # ⚓ RFK_Jr.:_Busted_making_a_political_donation_to_RAGA⠀⇛ As I look back at this blog, I sometimes find it hard to believe that I’ve been writing about certain people since the beginning (or almost the beginning). One of these people is Robert F. Kennedy, Jr., whose antivaccine conspiracy co- published in Salon.com and Rolling Stone in 2005 led to my first post ever went viral. Back then, RFK Jr. was promoting a conspiracy theory in which the CDC tried to cover up evidence that the thimerosal preservative that was used in several childhood vaccines until 2001 or so caused autism. These days, RFK Jr. promotes conspiracy theories that the CDC and Anthony Fauci are covering up harms from COVID-19 vaccines and other COVID-19 public health mitigation measures, such as mask mandates and “lockdowns,” but with added antisemitism and fascism. Nearly 17 years later, the only two things have changed. First, RFK Jr. has become more, not less, radical in his antivaccine crusade. Second, he’s not just antivax anymore! He’s broadened his conspiracy world to include all manner of COVID-19 misinformation and conspiracy theories. (He’s even decided that Sirhan Sirhan didn’t kill his father, leading me down another rabbit hole of a conspiracy theory that I hadn’t known existed!) He’s also trying to buy political influence, as their report from Popular Information about his having donated to the Republican Attorneys General Association (RAGA) illegally: # ⚓ ‘Enough_Is_Enough’:_Sanders,_Klobuchar_Unveil_Bill_to_Slash Drug_Prices_in_Half⠀⇛ With eyes on ultimately empowering Medicare to leverage its prodigious purchasing power to negotiate lower U.S. medication prices, Sens. Bernie Sanders and Amy Klobuchar on Wednesday unveiled legislation that would let the federal health insurance program pay the same for prescription drugs as the Department of Veterans Affairs.  “The time to act is now. It’s time for the Senate to have a debate and a vote to bring down the outrageous price of prescription drugs.” # ⚓ Having_Learned_Nothing_From_900,000_Deaths,_Governors_Lift Mask_Mandates⠀⇛ # ⚓ Pakistan:_Cousin_marriages_create_high_risk_of_genetic disorders⠀⇛ Karachi-based health expert Seraj ud Daulah said that the practice of cousin marriages in Pakistan can be traced to Islamic religious doctrines. “I asked clerics to help create awareness about genetic diseases, asking them to explain to people how cousin marriages are contributing to the rise in genetic diseases,” Daulah told DW. However, he said the clerics he spoke with flatly refused, claiming that such marriages are in accordance with Islamic Sharia law and the traditions of the Prophet Mohammad. o § Integrity/Availability⠀➾ # § Proprietary⠀➾ # ⚓ A_sign_of_ransomware_growth:_Gangs_now_arbitrate disputes [iophk: Windows TCO]⠀⇛ The new report on 2021 ransomware trends highlights the growing maturity and specialization of the ransomware market, with independent operators filling a lucrative niche market. Specialists now range from the hackers who can break into networks or develop ransomware to the nontechnical operators who negotiate payments with victims. The United Kingdom’s National Cyber Security Centre said it’s seen some ransomware gangs offer a 24/7 help center to victims to expedite ransom payments and restore encrypted data. There’s even money to be made by arbitrators who can settle payment disputes among the various ransomware criminals, according to the report. # § Security⠀➾ # ⚓ Russian_Govt._Continues_Carding_Shop_Crackdown [Ed: Microsoft Windows]⠀⇛ Russian authorities have arrested six men accused of operating some of the most active online bazaars for selling stolen payment card data. The crackdown — the second closure of major card fraud shops by Russian authorities in as many weeks — comes closely behind Russia’s arrest of 14 alleged affiliates of the REvil ransomware gang, and has many in the cybercrime underground asking who might be next. # § Fear, Uncertainty, Doubt/Fear-mongering/ Dramatisation⠀➾ # ⚓ The_bill_comes_due:_Securing_open-source software_isn’t_going_to_be_cheap [Ed: Steven J. Vaughan-Nichols now helps proprietary_software_deflect_attention_away from_NSA_back_doors, by shifting attention to Free software instead]⠀⇛ Open-source software has always been more secure than proprietary software, but that doesn’t mean it’s “secure.” To lock it down, we need to invest serious cash in developers and maintainers. You may have noticed that a lot of people are getting seriously cranky about open-source software security lately. They have a reason. Our screw-ups have been making the news a lot lately. To name but a few, there was the ongoing Log4j vulnerability fixups; the npm bad code injection fiasco; and you haven’t heard the last of the Linux PolKit security hole since many embedded systems will never be patched. # § Privacy/Surveillance⠀➾ # ⚓ Victory!_ID.me_to_Drop_Facial_Recognition Requirement_for_Government_Services⠀⇛ This is an important win: facial recognition is a dangerous surveillance tool. Coercing facial recognition to interact with the government is especially pernicious, as it unnecessarily forces people to give up their privacy in exchange for necessary services. Worse still, forcing people to hand their biometric data over to a third party, which is bound by fewer privacy restrictions and regulations, would have put huge swathes of the public’s personal data at risk of being misused.  Why did the IRS, and ID.me, back down? The IRS plan was roundly criticized by researchers, grassroots advocates, civil liberties experts, and other branches of government. Congress members Ted Lieu and Ron Wyden expressed their concerns about the plan. Likewise, FTC Commissioner Christine Wilson lambasted it, noting that federal rules would require biometric data to be stored for at least seven years, a lengthy period that makes privacy breaches more likely, and that ID.me would not be bound by legislation on how it could use this biometric data. The General Services Administration, which oversees Login.gov and provides services to 200 websites run by 28 federal agencies, also came out against the plan, saying GSA would not use facial recognition “or any other emerging technology for use with government benefits and services until rigorous review has given us confidence that we can do so equitably and without causing harm to vulnerable populations.” Coercing users of the IRS website, which is one of the federal government’s most frequently visited sites, to hand over their biometric data to a third party would have been a dangerous step. At the moment, it’s still unclear if the Treasury will simply look elsewhere for biometric services. But now that ID.me is loosening its facial recognition requirement for all government services, it’s likely that any plans to require facial recognition for this government service will face blowback. Additionally, while it is good that the Treasury has backed away from this plan, and that facial recognition won’t be required for ID.me users to interact with government services, questions remain about how and why the Treasury decided to force taxpayers into turning over their biometric information to a private company in the first place. Additionally, how has ID.me’s facial recognition requirement been in place for years with such little oversight? Congress should hold public hearings with both Treasury officials and representatives from ID.me to answer these questions. # ⚓ Democrats_Urge_Federal_Agencies_to Abandon_Use_of_Facial_Recognition⠀⇛ A quartet of progressives in Congress sent letters to five U.S. departments Wednesday urging all federal agencies to end the use of Clearview AI’s facial recognition technology. “Facial recognition technology runs the risk of deterring the public from participating in marches or rallies, or speaking out against injustice.” # ⚓ Whistleblower_Alleges_NSO_Offered_To ‘Drop_Off_Bags_Of_Cash’_In_Exchange_To Access_To_US_Cellular_Networks⠀⇛ The endless parade of bad news for Israeli malware merchant NSO Group continues. While it appears someone might be willing to bail out the beleaguered company, it still has to do business as the poster boy for the furtherance of human rights violations around the world. That the Israeli government may have played a significant part in NSO’s sales to known human rights violators may ultimately be mitigating, but for now, NSO is stuck playing defense with each passing news cycle. # ⚓ Opinion_|_How_About_We_Don’t_Ever_Put Surveillance_Robot_Dogs_on_the_US_Border⠀⇛ On February 1, 2022, the U.S. Department of Homeland Security’s Science and Technology Directorate, the official research and development arm of the agency, released a cutesy press release about how robotic dogs made in collaboration with Ghost Robotics are “one step closer” to deployment on the U.S.-Mexico border. # ⚓ EFF_Joins_Activists_And_Human_Rights Groups_To_Reject_Attacks_on_Encryption⠀⇛ Earlier this month, the U.K. Home Office spent public money on a high-priced ad campaign that bad- mouthed encryption, portraying it as a tool used by criminals. In the U.S., a Senate committee is about to vote on the dangerous “EARN IT” Act, which could lead to widespread scanning of private messages and photos. In both countries, the excuse is the same: lawmakers say they need to get into our messages so they can prevent crimes against children.  The public is wise to this. We know that encryption is necessary for defending everyone’s privacy and security online. Government officials can’t be allowed to treat basic security measures as evidence of a crime.  EFF has joined with cybersecurity experts and human rights activists around the world to push back against the scaremongering tactics being used by the U.K. government, in a letter signed by more than 50 groups and security experts.  o § Defence/Aggression⠀➾ # ⚓ The_Wars_We_Couldn’t_End⠀⇛ Certain events function that way, too. After they occur, it’s impossible to go back to how things were: World War II for one generation, the Vietnam War for another, and 9/11 for a third. Tell me it isn’t hard now to remember what it was like to catch a flight without schlepping down roped-off chutes like cattle to the slaughter, even if for most of the history of air travel, no one worried about underwear bombers or explosive baby formula. Of course, once upon a time, we weren’t incessantly at war either. However, for my students, the clumsily named Gen Z, the transformative event in their lives hasn’t been a war at all — no matter that their country has been enmeshed in one or more of them for all of their conscious lives. It’s probably George Floyd’s murder or the Covid pandemic or the double whammy of both, mixed in with a deadly brew of Trumpism. That alone strikes me as a paradigm shift. # ⚓ We_Still_Need_an_Anti-War_Movement⠀⇛ When I urge my writing students to juice up their stories, I tell them about “disruptive technologies,” inventions and concepts that end up irrevocably changing industries. Think: iPhones, personal computers, or to reach deep into history, steamships. It’s the tech version of what we used to call a paradigm shift. (President Biden likes to refer to it as an inflection point.) # ⚓ The_Clowns_of_War_Risking_It_All⠀⇛ Right now, the media, all of them, are busting open at the seams with the need for war’s gassy release. If someone lights a match in the current climate: BOOM. Will the Russians invade Taiwan?  Will the Red Army descend like Huns on the war chickens in Kiev, forcing the Ukrainians to build a willing wall? Or a mall? Or a hall? Or some dodge to hide their loot in? Will Bucky Bucky Beaver finally pull the lever on the Fall? Say, That’s All, folks! Will the Smiling Buddha finally have the nirvana to laugh his ass off? Cry, suffer motherfuckers! Will the Pakis deliver their Sunni warheads to the Saudis? Have the Russkies already delivered their nuclear cookies to the Shia Iranians? Which anti- Semite nation will Israel nuke first? There’s so many to choose from.  Will America’s PNAC pearlharborists continue to spread their dark hegemonic needs, like Johnny Bad Appleseed, around the world? Here we are — the hoi polloi — waiting waiting waiting for Donny Brook to weigh in. # ⚓ What_the_Cuban_Missile_Crisis_Can_Teach_Us_About_Today’s Ukraine_Crisis⠀⇛ During the 1962 Cuban crisis, the situation was remarkably similar to that in today’s Eastern Europe, although the great power roles were reversed. In 1962, the Soviet Union had encroached on the U.S. government’s self-defined sphere of influence by installing medium-range nuclear missiles in Cuba, a nation only 90 miles from U.S. shores. The Cuban government had requested the missiles as a deterrent to a U.S. invasion, an invasion that seemed quite possible given the long history of U.S. intervention in Cuban affairs, as well as the 1961 U.S.-sponsored Bay of Pigs invasion. # ⚓ Hemispheric_Gangsterism:_the_US_Embargo_Against_Cuba⠀⇛ The proclamation was packed with Cold War righteousness and much sanctimony.  Cuba under the revolutionary Fidel Castro, fresh from overthrowing a Washington favourite and blood-smeared thug, Fulgencio Batista, was “incompatible with the principles and objectives of the Inter-American system”.  The US was “prepared to take all necessary actions to promote national and hemispheric security by isolating the present Government of Cuba and thereby reducing the threat posed by its alignment with communist powers.” A year later, Kennedy invoked the Trading with the Enemy Act with the purpose of expanding the scope of the embargo, covering trade, travel, and financial transactions except those licensed by the Secretary of the Treasury, as directed by the president. # ⚓ Experts_Detail_Deadly_Consequences_of_US_Drone_Strikes_at Senate_Hearing⠀⇛ Experts on the conduct and consequences of U.S. drone strikes delivered harrowing testimony Wednesday at a Senate Judiciary Committee hearing on two decades of aerial bombardment during the so- called War on Terror.  “If any other country launched this program, we would rightly call it an unlawful, extrajudicial, and arbitrary use of force.” # ⚓ Early_Draft_of_RNC_Censure_Described_Capitol_Attack_as “Nonviolent”_and_“Legal”⠀⇛ # ⚓ Will_Biden_Declare_a_“No_First_Use”_Approach_to_Nuclear Weapons?⠀⇛ # ⚓ Emails_Show_The_LAPD_Cut_Ties_With_The_Citizen_App_After Its_Started_A_Vigilante_Manhunt_Targeting_An_Innocent Person⠀⇛ It didn’t take long for Citizen — the app that once wanted to be a cop — to wear out its law enforcement welcome. The crime reporting app has made several missteps since its inception, beginning with its original branding as “Vigilante.” # ⚓ Echoing_Antiwar_Activists,_Sanders_Warns_Against_Sanctions and_War_on_Russia⠀⇛ # ⚓ The_Phoney_War_Over_Ukraine⠀⇛ Where Ukraine is concerned, Patrick Cockburn made the astute observation that Putin holds all the cards as long as he keeps his menaces on the level of a shadow-theatre— most of these cards will disappear the moment he invades Ukraine. Better to have his western adversaries flinch at Putin’s every move on an imaginary chessboard than have to counter with real tanks and missiles after a NATO military response once Russia makes an incursion into Ukraine. # ⚓ Opinion_|_US-NATO_Militarism_Is_the_Cause,_Not_the Solution⠀⇛ # ⚓ Opinion_|_Would_Ned_Price_Lie_Us_Into_War?⠀⇛ # ⚓ Debate:_Would_U.S._Sanctions_Bill_on_Russia_Prevent Military_Conflict_or_Make_War_More_Likely?⠀⇛ In an effort to discourage Russia’s increasing military presence at the border with Ukraine, the U.S. has threatened to impose sanctions if Russian President Vladimir Putin orders an invasion. We host a debate between two foreign policy thinkers on whether sanctions could avert war — or make it more likely. The current sanctions bill proposed by Congress rushes to punish Russia in a way that would be harmful to diplomacy and could have disastrous humanitarian impacts on Russian civilians, warns Marcus Stanley, advocacy director of the Quincy Institute for Responsible Statecraft. Meanwhile, George Lopez, professor emeritus at the University of Notre Dame’s Kroc Institute, says sanctions can act as an effective deterrent to Russian aggression. # ⚓ Content_Moderation_Case_Study:_Russia_Slows_Down_Access_To Twitter_As_New_Form_Of_Censorship_(2021)⠀⇛ # ⚓ To_Avert_‘Full-Blown_War,’_Coalition_Urges_Biden_to_Rejoin Iran_Deal⠀⇛ An anti-war coalition composed of 20 U.S.-based organizations on Wednesday encouraged President Joe Biden’s administration to swiftly finalize a revival of the Iran nuclear deal as “diplomatic momentum builds” in Vienna. “It is vital that the United States continue to press toward a successful conclusion of negotiations.” # ⚓ Propagandist_for_Syria_terror_proxies_compromised_Amnesty International,_leaked_docs_show⠀⇛ # ⚓ Frontex_has_air_superiority⠀⇛ With its aerial surveillance, from space and soon possibly from the stratosphere, the EU border agency is becoming a quasi-secret service # ⚓ For_the_first_time_in_more_than_20_years,_Russia_will_not send_an_official_delegation_to_the_Munich_Security Conference⠀⇛ There will be no official delegation from Russia at this year’s Munich Security Conference, Russian Foreign Ministry spokeswoman Maria Zakharova announced during a briefing on Wednesday, February 9.  # ⚓ 2nd_guilty_plea_made_in_alleged_kidnapping_plot_of_Michigan Gov._Gretchen_Whitmer⠀⇛ A second man charged in a bizarre plot to kidnap Michigan Gov. Gretchen Whitmer pleaded guilty Wednesday and has agreed to testify for the prosecution at the federal trial of four other defendants. # ⚓ [YLE]:_Finnish_parliament_foreign_committee_member_resigns over_Ukraine_tweet⠀⇛ The chair of the Foreign Affairs Committee at the Eduskunta, the Finnish parliament, is resigning his committee post in the wake of a tweet he issued on any potential Ukrainian membership of NATO. # ⚓ ‘I_didn’t_kill_anyone,’_Paris_terror_attacker_claims⠀⇛ The only assailant still alive after the terror attacks that rocked Paris in November 2015 said Wednesday that “I didn’t kill anyone, I didn’t hurt anyone” as he took the stand for the first time in the trial over the jihadist massacres. # ⚓ Salah_Abdeslam:_Paris_attacks_defendant_denies_killing anyone⠀⇛ Prosecutors say Salah Abdeslam, 32, is the only surviving member of the IS cell that targeted Paris that night, killing 130 people. In court on Wednesday, he restated his support for the Islamic State group, but said he chose at the last minute not to detonate his explosives. o § Environment⠀➾ # ⚓ Soaring_Methane_Levels_Has_Scientists_Concerned_Climate Feedback_Loop_Is_Here⠀⇛ # ⚓ Pipeline_Politics_Hits_Multipolar_Realities:_Nord_Stream_2 and_the_Ukraine_Crisis⠀⇛ By John Foster, CounterPunch. Originally published on CounterPunch. Amid escalating tensions between the United States/ NATO and Russia, all eyes are on Ukraine, but Nord Stream 2, a pipeline built to bring Russian gas under the Baltic Sea directly to Germany, is an integral part of the story. # ⚓ 13_Youth_File_‘Vital’_Constitutional_Climate_Lawsuit Against_Virginia⠀⇛ Virginia residents ages 10 to 19 filed a constitutional lawsuit against the commonwealth on Wednesday over the government’s fossil fuel policies that contribute to the climate emergency. “Virginia’s youth never signed up to clean up the mistakes of previous generations.” # ⚓ Opinion_|_Voting_Rights_and_Environmental_Justice⠀⇛ As studies increasingly tally the death toll of climate change, the recent stalemate over voting rights legislation in the Senate puts the United States at a grave crossroads.  # ⚓ Big_Tech’s_climate_goals_are_weaker_than_they_seem,_report finds⠀⇛ The word “net” in pledges allows companies to make their climate efforts seem more impressive than they are. Companies can reach net-zero climate goals by reducing some of their CO2 pollution and using other tactics to try to cancel out the negative effects of emissions they continue to produce. They might try to offset emissions by investing in tree farms or forests that naturally draw down CO2, even though it’s a strategy that has often failed to deliver long-term reductions of carbon dioxide building up in the atmosphere. A separate report released last month by BloombergNEF warned that the growing popularity of offsets could threaten gains in corporate clean energy buying if companies decide to invest their money in offsets rather than in renewable energy. # ⚓ Scientists_Fear_Soaring_Methane_Levels_Show_Climate Feedback_Loop_Has_Arrived⠀⇛ Fresh U.S. government data spotlighting the rapid growth of atmospheric methane concentrations in recent years has scientists increasingly concerned that the human-caused climate crisis has triggered a vicious feedback loop, potentially resulting in unstoppable planetary warming. “Is warming feeding the warming? It’s an incredibly important question. As yet, no answer, but it very much looks that way.” # ⚓ “Don’t_Look_Up”:_David_Sirota_on_His_Oscar_Nod_for_Writing Blockbuster_Climate_Crisis_&_Media_Satire⠀⇛ We speak to longtime progressive journalist and 2020 Bernie Sanders adviser David Sirota, who was just nominated for an Academy Award for co-writing the screenplay of the hit Netflix movie “Don’t Look Up” along with the film’s director, Adam McKay. The satire of the fight to have climate change acknowledged, let alone acted upon by global leaders, follows the plight of astronomy professor Dr. Randall Mindy (played by Leonardo DiCaprio) and his graduate student Kate Dibiasky (Jennifer Lawrence) as they fail to warn the planet of an impending comet that threatens to wipe out human existence. The film shows audiences “how ridiculous and destructive our world has become when it comes to dealing constructively with science,” says Sirota. If corporate media tends to make light of serious issues, the film raises the larger question: “How do we actually make climate science salient in the political discourse?” # ⚓ 13_Million_People_Facing_Climate-Driven_Starvation_in_Horn of_Africa:_WFP⠀⇛ Severe drought driven by the climate emergency has pushed 13 million people in the Horn of Africa to the brink of starvation, the United Nations World Food Program reported Tuesday. “We need to act now to prevent a catastrophe.”  # ⚓ Don’t_Sabotage_the_Climate_Movement_by_Turning_to Violence⠀⇛ Greta Thunberg may be the face of the global climate justice movement, but Luisa Neubauer is its strategic mind and most articulate orator. Neubauer, a German climate activist with Fridays for Future, is a fierce adversary of the fossil fuel industry who regularly dismantles mealymouthed national officials on German talk shows. # § Energy⠀➾ # ⚓ What_I_learned_from_the_words_and_rhymes_of_alleged Bitcoin_launderer_Razzlekhan⠀⇛ Yesterday, the Department of Justice announced it had finally recovered almost all the Bitcoin stolen in the 2016 Bitfinex hack with its “largest financial seizure ever.” The DOJ was, however, immediately upstaged — when people discovered that one of the people accused of helping launder billions of dollars of Bitcoin had posted rap videos to the [Internet]. # § Wildlife/Nature⠀➾ # ⚓ The_Earth_Reviews_Her_Activists⠀⇛ o § Finance⠀➾ # ⚓ Opinion_|_We_Must_Reinstate_the_IRS_Report_on_the_Richest 400_Americans_That_Trump_Axed⠀⇛ The wealth of America’s billionaires soared to $5.1 trillion in 2021, up $2 trillion since the beginning of the pandemic. Yet, we know a lot less about how much the top-earning Americans pay in federal income taxes today than we did even a few years ago. # ⚓ ‘Supervillain_Stuff’:_DeJoy_Accused_of_Exploiting_Loophole to_Buy_Gas_Trucks⠀⇛ Did the U.S. Postal Service purposely calculate the weight of its new delivery vehicles at 8,501 pounds so as to skirt anti-pollution regulations by a single pound? Watchdogs are leveling that charge after the Environmental Protection Agency revealed that the USPS—led by major Trump donor Louis DeJoy—assigned its forthcoming fleet of largely gas-powered trucks a weight rating “a mere pound over the threshold for light-duty vehicle efficiency standards,” which are more strict than those pertaining to heavier vehicles. # ⚓ House_Passes_Bill_to_Repeal_‘Debilitating’_USPS_Prefunding Mandate⠀⇛ The House of Representatives on Tuesday passed bipartisan legislation that would eliminate a mandate requiring the U.S. Postal Service to prefund retiree health benefits decades in advance, a major contributor to the mail agency’s financial woes. “We are one step away from securing a critical victory for postal workers, the Postal Service, and the public.” o § AstroTurf/Lobbying/Politics⠀➾ # ⚓ State_Board_Asserts_Right_to_Decide_If_Cawthorn_Is_Eligible to_Run_in_Midterms⠀⇛ # ⚓ “Ron_Johnson_Doesn’t_Give_a_Sh*t_About_Wisconsin_Workers”⠀⇛ Ron Johnson is the Republican senator from Wisconsin. But his constituency has always been the billionaire investor class that seeks to depress wages, undermine environmental protections, and diminish democracy to maximize profits. Johnson, a millionaire who bought his way into the Senate with family funds and generous contributions from out- of-state billionaires, has never been all that secretive about where his loyalty lies. Last week, however, he delivered an anti-worker message that was so dismissive it shocked even those who thought they knew the depths to which the most craven crony capitalist in the US Senate would go. # ⚓ Another_Unconstitutional_Republican_Law_Bites_the_Dust⠀⇛ Late last week, Helena District Court Judge Mike Menahan ruled against Gianforte and Attorney General Austin Knudsen on SB319, sponsored by Republican Sen. Greg Hertz, tossing two provisions as unconstitutional and, as they say in the old song, “another one bites the dust.” One has to wonder, given their record of ignoring the provisions of Montana’s internationally lauded and copied Constitution, whether the Republican legislative majorities consider the foundational document of our state’s governance to be simply words on paper. Certainly we’ve already had one of those legislators, Whitefish Republican Rep. Derek Skees, say “we need to throw out Montana’s socialist rag of a constitution.” # ⚓ Watchdogs_Demand_DOJ_Probe_Into_Trump’s_Destruction_of Official_Records⠀⇛ A pair of government watchdog organizations on Tuesday urged the Biden Justice Department to launch an investigation into former President Donald Trump’s reported habit of tearing up briefings, schedules, memos, and other official records, a likely violation of federal law. “There is no excuse for hiding important information from the public.” # ⚓ ‘Manchin_Has_Probably_Doomed_the_Party’:_Support_for_Dems Dips_After_Child_Tax_Credit_Killed⠀⇛ New polling revealed Wednesday that as Democratic lawmakers have failed in recent months to enact the Build Back Better Act, support for party members has dropped among U.S. voters affected by the expiration of the expanded child tax credit. “You win by delivering for people and you lose by giving them nothing.” # ⚓ Pelosi_Appears_Ready_to_Drop_Opposition_to_Stock_Trading Ban⠀⇛ Following pressure from progressives and government watchdog groups, House Speaker Nancy Pelosi is reportedly moving toward a proposal to ban members of Congress from trading individual stocks. The development, first reported Wednesday by Punchbowl News, which cited multiple sources involved in the discussion, marks a shift from Pelosi (D-Calif.). She’s previously defended individual stock trading by federal lawmakers, declaring, “We are a free market economy.” # ⚓ Opinion_|_The_Battle_to_Protect_Voting_Rights_Continues⠀⇛ 2021 was a bad year for voting rights. Now state legislatures have returned for their sessions. What will 2022 bring? Early returns are not encouraging. # ⚓ How_the_Establishment_Functions:_The_Real_Dark_Web⠀⇛ Alison Levitt, the lawyer appointed by Keir Starmer to produce the report which “cleared” him of involvement in the decision not to prosecute Jimmy Savile, is married to Lord Carlile, friend of two serial paedophiles, Greville Janner and Cyril Smith. # ⚓ Microsoft_announces_open_app_store_rules_to_prove_it’s_okay with_new_laws⠀⇛ For now, the company has committed to specific decisions that bolster openness in the gaming ecosystem, including one that may appease gamers who are worried about the Microsoft—Activision Blizzard deal: Microsoft is promising to keep Call of Duty and other Activision Blizzard titles on PlayStation consoles “beyond the existing agreement.” But it’s apparently making these commitments on a case-by-case basis. # ⚓ Archives_officials_suspect_Trump_“possibly_violated_laws” concerning_White_House_records:_report⠀⇛ There has been much debate over penalties for former President Donald Trump for knowingly destroying documents and then taking official documents to take back to Mar-a-Lago. The statute lists, among the punishments, disqualification from office, which has been the key piece anti-Trump activists cling to. The only way for that to be possible, however, is if the National Archives found the behavior to be so egregious that they referred it to the Justice Department. On Wednesday, The Washington Post reported that’s exactly what happened. # ⚓ US_National_Archives_requests_legal_probe_of_Trump_over handling_of_documents⠀⇛ US presidents are required by law to transfer all of their letters, work documents and emails to the National Archives. But officials say the former president illegally ripped up many documents. Some of them had to be taped back together, the Archives said. It has also emerged that 15 boxes of papers that Mr Trump should have turned over when he left the White House were instead taken to his home in Florida. # ⚓ National_Archives_asked_DOJ_to_probe_Trump’s_handling_of White_House_records:_report⠀⇛ The National Archives has asked the Department of Justice (DOJ) to look into former President Trump’s handling of White House records since leaving office, The Washington Post reported on Wednesday, amid revelations in recent days that he had retained official documents that should have been turned over. According to the Post, the National Archives’ referral has prompted internal discussions among federal prosecutors about potentially investigating whether Trump committed a crime in not properly turning over the records. # ⚓ Louisiana_Senate_Candidate_Literally_Torches_a_Confederate Flag_in_New_Campaign_Ad⠀⇛ Now, Chambers is back with more fuel for the viral- marketing fire. In a new ad titled “Scars and Bars,” a first look at which was provided exclusively to Rolling Stone, he douses a Confederate battle flag in gasoline before lighting it on fire. The gesture makes for a striking image on its own, but like the first ad’s stark shots of Chambers smoking in New Orleans City Park, it’s accompanied by a voiceover monologue that pulls no punches. “Here in Louisiana and all over the South, Jim Crow never really left,” Chambers says, before rattling off statistics about the inequities Black Americans face in his state and across the country. “Our system isn’t broken — it’s designed to do what it’s doing: produce measurable inequity.” o § Misinformation/Disinformation⠀➾ # ⚓ Why_Joe_Rogan’s_vaccine_misinformation_is_so_dangerous_— and_dangerously_appealing_to_his_audience⠀⇛ But while the anti-vaccine campaign is clearly a partisan movement with partisan aims, the single most important figure in validating and spreading vaccine disinformation is likely not Fox News hosts or even Republican politicians. No, that honor goes to “comedian” and Spotify star Joe Rogan, whose tedious podcast “The Joe Rogan Experience” inexplicably draws a reported 11 million listeners per episode — more than three times the audience for Tucker Carlson’s wildly popular Fox News show. On his show, Rogan appears to be obsessed with spreading COVID-19 misinformation, as Alex Paterson, a Media Matters researcher who subjected himself to over 350 hours of Rogan’s show, has thoroughly documented. Rogan regularly pushes conspiracy theories about the vaccine being dangerous and unnecessary, even dabbling in ridiculous claims that the vaccines contain microchips to “track” people. # ⚓ Neil_Young’s_Streaming_Numbers_Soared_for_a_Week_After Spotify_Pullout,_but_Have_His_Fans_Migrated_for_Good?⠀⇛ So now that he’s finally seeing streaming numbers again that are at or a little below his pre- controversy average, does that mean he “lost”? Hardly, if you’re a Young supporter. It’s worth remembering that Young has said 60% of his streaming revenue came from Spotify — although Billboard put the actual monetary value, due to lower Spotify payout rates, at 42%. If Young continues to draw anything even close to the consumption figures he enjoyed when he was still on Spotify, it would mean that a very big part of his audience made the leap to competing platforms, at least to hear him, if not for all their streaming needs. It’s also possible that out of the controversy he got a lot of sign-ups for his own subscription service, Neil Young Archives, which wouldn’t necessarily be reflected in these numbers. o § Censorship/Free Speech⠀➾ # ⚓ ‘Don’t_Say_Gay’:_Bill_by_Florida_GOP_Ignites_National Condemnation⠀⇛ Opponents of bigotry and censorship are raising their voices in protest after Florida’s GOP- controlled Senate Education Committee on Tuesday advanced legislation that would effectively prohibit teachers from discussing sexual orientation and gender identity in primary grades or at any level “in a manner that is not age- appropriate.” “It is always appropriate for kids to talk about themselves, their experiences, and their family. These are not taboo subjects, but banning them makes them seem so.” # ⚓ The_Shaming_and_Punishment_of_Whoopi_Goldberg:_What_Does_It Say_About_US_Society?⠀⇛ Finally, I found one, Rabbi Sharon Brous of the Ikar community in Los Angeles. She tweeted, “If what you want is to change someone’s mind, I have to think education is more effective than public shaming and punishment. Particularly when that person shows a sincere willingness to learn and apologize.” Goldberg did in fact apologize on the same day of her initial statement, saying: “On today’s show, I said the Holocaust ‘is not about race, but about man’s inhumanity to man.’ I should have said it is about both. As Jonathan Greenblatt from the Anti- Defamation League shared, ‘The Holocaust was about the Nazi’s systematic annihilation of the Jewish people—who they deemed to be an inferior race.’ I stand corrected.” # ⚓ Over_60_Human_Rights/Public_Interest_Groups_Urge_Congress To_Drop_EARN_IT_Act⠀⇛ We’ve already talked about the many problems with the EARN IT Act, how the defenders of the bill are confused about many basic concepts, how the bill will making children less safe and how the bill is significantly worse than FOSTA. I’m working on most posts about other problems with the bill, but it really appears that many in the Senate simply don’t care. # ⚓ EFF_Sends_Letter_to_the_Senate_Judiciary_Committee_to Oppose_EARN_IT⠀⇛ EFF opposed the original and amended versions of this bill in the previous Congress, and our letter outlines our concerns with the reintroduced version of the bill that the sponsors have not addressed. Given its significant problems and potential vast impact on internet users, we urged the Committee to reject this new bill. This bill will jeopardize the privacy and cybersecurity of every American, and fundamentally alter the freedom of our online communications. EARN IT is scheduled for a vote in the Senate Judiciary Committee on Thursday, February 10. We need your help! Join more than 12,000 EFF supporters who have contacted their senators so far, and tell your senator that you oppose this fatally flawed bill. # ⚓ Activists,_Writers,_and_Security_Experts_All_Oppose_the EARN_IT_Act⠀⇛ As we wrote when the bill was introduced, this bill threatens encryption and free speech, while making it harder to protect children from online abuse. That’s why such a broad coalition of civil society groups are working together to stop the EARN IT Act: civil liberties groups like the Center for Democracy and Technology and the ACLU, LGBT rights groups, activists, and privacy experts.  EARN IT is scheduled for a vote in the Senate Judiciary Committee on Thursday, February 10. We need your help! Join more than 12,000 EFF supporters who have contacted their senators so far, and tell your Senator that you oppose this fatally flawed bill.  # ⚓ Uganda_Writer_Facing_Trial_Flees_Country,_Says_Lawyer⠀⇛ A Ugandan author facing trial for criticizing the son of President Yoweri Museveni has fled the country, according to his lawyer. Eron Kiiza, the lawyer for Kakwenza Rukirabashaija, told VOA that the author fled the country Wednesday, two days after a court declined to release his passport. In a telephone interview, Kiiza elaborated on his client’s whereabouts, saying, “He is in Rwanda, like four to five hours ago. He’s trying to coordinate his way. That’s how he got out of Uganda. And finally, he will find his way to Europe.” # ⚓ Pakistan_Court_Sentences_Hindu_Teacher_To_Life_Imprisonment Over_Blasphemy⠀⇛ The Hindu teacher was arrested in 2019 and he has been in jail since as an under-trial prisoner over the blasphemy charges. # ⚓ Anti-domestic_violence_play_canceled_for_‘violating’ Islamic_tradition⠀⇛ “Women are killed because there are those who normalize it and demand that they remain silent when they are threatened,” Joint List (Hadash) MK Aida Touma-Sliman said. She denounced Jarrah’s hypocrisy, saying that the cancellation is an example of this phenomenon. Suleiman agreed.“We need to help women, and not shut them up.” # ⚓ Will_France_Wake_Up_and_Defend_Her_Freedom_–_or_Not?⠀⇛ We should be worried about Europe. It is the cradle of European culture, especially France. Henry James, in The Ambassadors, writes about France as the epitome of civilization, as the “eldest daughter of the Church”. Now, however, France’s churches are being burned, demolished and abandoned, and its adherents sacrificed on the altar of political correctness. France’s Jews, “the canaries in the coalmine”, are being physically attacked and leaving their country. Since 2000, more than 60,000 have fled. In the face of this massive assault on freedom and culture, an army of “useful idiots” is siding with the enemies of civilization. Professor Robert Redeker was forced into hiding after criticizing radical Islam and now has to be protected by police. o § Freedom of Information/Freedom of the Press⠀➾ # ⚓ UK_Official_Secrets_Act_Proposals_Take_Cues_From_US Espionage_Act_Cases⠀⇛ This article was funded by paid subscribers of The Dissenter Newsletter. Become a monthly subscriber to help us continue our independent journalism.The United Kingdom’s right-wing dominated government is on course to greatly expand its ability to prosecute and jail whistleblowers and journalists through amendments to the country’s Official Secrets Acts. These potential amendments would be the first major changes to the law since 1989. They come as the U.K. and U.S. governments continue to seek the extradition of WikiLeaks founder Julian Assange for his role in receiving and publishing the Afghanistan and Iraq war logs, Guantanamo Bay detainee files, and U.S. diplomatic cables. # ⚓ Assange-Pak_NFT_auction_reaches_more_than_$50_million⠀⇛ The much-anticipated auction of NFT collection ‘Censored’, a collaboration between political prisoner Julian Assange and renowned artist Pak reached more than $50 million today before the first part of the auction closed.The collection consists of two parts: an auction of a single artwork ‘Clock’ (1 of 1) and a separate pay-what- you-like Open Edition. The proceeds from the auctioned single artwork Clock will raise funds for Julian Assange’s legal battle. The auction site is https://censored.art.The Open Edition artwork generates a customized NFT based on the message entered by each collector. https://censored.art/ message. Proceeds from the Open Edition will go to organizations chosen by Julian Assange and Pak that fight censorship, champion press freedom, or defend fundamental rights.The Collaboration: ‘Censored’ [https://censored.art] is a digital art collection exploring the concept of freedom, and is a collaboration between Julian Assange and record- breaking NFT artist Pak. It was unveiled over two weeks ago. ‘Censored’ is a two-part collection. The first part of the collaboration is a one of a kind generative interactive blockchain artwork titled Clock. o § Civil Rights/Policing⠀➾ # ⚓ Clarence_and_Ginni_Thomas,_the_Supreme_Court’s_Unethical “It”_Couple⠀⇛ It seems the wider world is becoming acquainted with the ethical disaster that is the conservative power couple Supreme Court Justice Clarence Thomas and his wife, Virginia “Ginni” Thomas. A few weeks ago, The New Yorker published an excellent exposé by Jane Mayer of Ginni’s long history of conservative political activism on behalf of causes and even litigants who appear before her husband’s court. For people who hadn’t been following the couple for the past 30 years, the piece was a revelation. # ⚓ An_outdated_institution_Maxim_Trudolyubov_on_how authoritarian_states_use_citizenship_to_create_loyal_subjects and_control_the_masses⠀⇛ Every year, the Russian authorities “create” hundreds of thousands of new citizens — 720,000 Russian passports have already been issued to residents of Ukraine’s Donbas alone. In a sense, however, the Kremlin’s actions are not so different from other governments that offer citizenship to foreign nationals in order to (1) expand their sphere of influence abroad and (2) acquire new, loyal electorates. Meanwhile, Russia has deprived nine million of its own citizens of a key civil right — the right to stand for election — and pro- government politicians periodically float the idea of depriving opposition-minded Russians of their citizenship. Meduza “Ideas” editor Maxim Trudolyubov breaks down how citizenship has evolved from a privilege to an instrument of control and manipulation.  # ⚓ Why_Prisons_Are_Banning_Letters⠀⇛ Not many people send letters through the post these days, but in prisons and jails across the country, the ritual of the mail call has long been a daily sacrament. When Dana Lomax-Williams was incarcerated in Pennsylvania several years ago, paper mail was a lifeline that connected her to her family on the outside. But now, as a free woman and the president of the Coalition to Abolish Death by Incarceration–Delaware County, which advocates for the rights of people serving life sentences, she cannot return the favor to those still behind bars. In 2018, Pennsylvania’s Department of Corrections (DOC) transitioned to a privately run scanning system that turns every piece of mail into a digital facsimile. This policy combined with a prison e-mail system run by another third-party contractor, she said, obstructs and undermines her communications. She said that the DOC’s photocopied scans of her paper mail are sometimes missing pages and her e-mails are redacted when they are received by her clients. # ⚓ Critical_Race_Facts⠀⇛ # ⚓ Terrible_Vermont_Harassment_Law_Being_Challenged_After_Cops Use_It_To_Punish_A_Black_Lives_Matter_Supporter_Over_Her Facebook_Posts⠀⇛ In June 2020, in Brattleboro, Vermont, something extremely ordinary happened. Two residents of the community interacted on Facebook. It was not a friendly interaction, which made it perhaps even more ordinary. # ⚓ Progressives_Double_Down_on_Opposition_to_Clyburn’s_Anti- Labor_SCOTUS_Choice⠀⇛ Progressive lawmakers and advocates are intensifying calls for President Joe Biden to consider the interests of working people—not corporations—when he nominates a judge to replace Justice Stephen Breyer on the U.S. Supreme Court as House Majority Whip James Clyburn ramps up his lobbying campaign on behalf of Judge J. Michelle Childs. “You want somebody who is going to be reflective of the needs of working families and understands that we are moving towards an oligarchy in this country,” Sen. Bernie Sanders (I-Vt.) told Politico Wednesday, without naming a preferred candidate. # ⚓ Unplugged⠀⇛ In one of its many exhausting moments of metacommentary, The Matrix Resurrections addresses Hollywood’s relentless harvesting of existing intellectual property: “We can’t see it, but we’re all trapped inside these strange, repeating loops.” The line, uttered by a new Morpheus (Yahya Abdul- Mateen II; previously Laurence Fishburne) who lives inside a video game version of The Matrix that’s inside the Matrix, is meant to be uncanny. In today’s ecosystem of shareholder-friendly adaptations and reboots, The Matrix and its eccentric fusion of cyberpunk, anime, philosophy, film noir, and Hong Kong cinema would probably never get made. But as a reboot: Why not? # ⚓ ‘There’s_Power_in_a_Union’:_House_Dems_Intro_Resolution_to Allow_Staffer_Unionization⠀⇛ House Democrats on Wednesday introduced legislation recognizing congressional workers’ right to unionize—a move the workers said must be swiftly followed by a floor vote. “Congressional staff must enjoy the same fundamental rights of freedom of association at work, to organize and bargain collectively for better conditions, that all workers deserve.” # ⚓ First_Circuit_Tears_Into_Boston_PD’s_Bullshit_Gang_Database While_Overturning_A_Deportation_Decision⠀⇛ A federal court has delivered a rebuke of police gang databases in, of all things, a review of a deportation hearing. # ⚓ Workers_at_Largest_GM_Plant_in_Mexico_Win_Historic Independent_Union_Vote⠀⇛ # ⚓ After_Years_of_Living_in_Fear,_GM_Workers_in_Mexico_are Flexing_Their_Power⠀⇛ # ⚓ Workers_at_Largest_GM_Plant_in_Mexico_Win_Historic_Vote_for New_Independent_Union_After_2019_Reforms⠀⇛ In Mexico, thousands of workers at the country’s largest General Motors plant have won a historic vote to form an independent union, breaking from a tradition of corrupt unions tied to elites who cut deals with corporations to keep wages and benefits low. We go to Guanajuato, Mexico, to speak with historian Javier Bravo about the victory and the passage of critical labor reforms in 2019, which ensure workers can create new unions independent of the will of their employers, says Bravo. # ⚓ Amir_Locke_Murder_Shows_“Reforming_the_Police”_Isn’t Enough,_Activists_Say⠀⇛ # ⚓ Protest_Song_Of_The_Week:_‘Down_In_Virginia’_By_Grace Victoria⠀⇛ Grace Victoria is a Virginia-born and New York City-based singer-songwriter, who recently released thealbum, “Love & Justice.” The album deals heavily with themes connected to the Black Americanexperience.“Black Looks Better On Me,” “No,” and “Let Me Tell You” each deal with Black empowerment, and on the samba-influenced tune “Down in Virginia,” the song grapples with Victoria’s own experience growing up in the South. Composed around the time that George Floyd was murdered by police in 2020, the tune is an exploration of the racism and violence faced by Black people on a constant basis.The lyrics include an indictment of blatant racism as well as liberal complacency: “The people in thecountry can get pretty mean. A crazy woman called me n*gger made me wanna scream. But my angernever brought me a single thing, down in Virginia, baby.” “When I was older I took a trip to the North. You’ll never guess what I found: The liberals are under the impression that racism is no longer around.”Grace Victoria sheds a needed spotlight on the fact that silence is violence. If we are not speaking outagainst racism, then we are part of the problem. # ⚓ Starbucks_Fires_Seven_Union_Organizers_in_Memphis,_Sparking Outrage⠀⇛ # ⚓ ‘We_Won’t_Be_Silenced’:_Workers_Fired_by_Starbucks_Amid Union_Drive_Speak_Out⠀⇛ Less than 24 hours after they were fired amid a unionization effort at a Starbucks in Memphis, Tennessee, former employees of the giant coffee chain reiterated that they don’t intend to back down. The corporation is trying “to silence us and we won’t be silenced,” Beto Sanchez, Lakota McGlawn, Nikki Taylor, and Nabretta Hardin—all four members of the union organizing committee at the city’s Poplar and Highland Starbucks location—told pro- worker media group More Perfect Union during an exclusive interview shared Wednesday. # ⚓ How_Social_Justice_[sic]_Killed_Anti-Racism⠀⇛ Like many Londoners who grew up in the 1970s and ’80s, I was used to existing in a white-minority environment, and I had long been aware that black people were no less racist than any other demographic. But racism against whites, Asians, and Jews had always been spoken softly, out of the earshot of most British people. It was not a serious problem, but something that existed in the background. The British anti-racism movement had certainly never pretended that one form of racism was worse than another: racism in any form was, ipso facto, corrosive to communities and opposed on that basis. It just seemed self-evident that hatred from one group would provoke a rise in hatred on the other side. So, British activism was focussed on creating opportunities for greater community cohesion and integration. The most famous upshot was the Notting Hill Carnival, an event founded following the 1959 race riots and intended to bring West London’s divided black and white communities together around a celebration of Trinidadian culture. Most people—black or white—were unaware of ethno- nationalism in the black British community, which was far less marked than in the United States. In the new century, some commentators did begin to discuss the problem openly. For example, in 2004, the outspoken British-Trinidadian activist and commentator Darcus Howe wrote about racism towards Somali immigrants within black communities. Similarly, there have long been tensions between some black and Asian communities. But, generally, those in the political and journalistic classes were either unaware of such issues or reluctant to broach them in public. So, although people raised in parts of London with large black populations, or those in mixed relationships, experienced such bigotry first-hand, the problem was seldom acknowledged. # ⚓ 10_Christian_converts_forced_to_take_Islamic_re-education classes_in_Iran:_report⠀⇛ The IRGC had summoned more converts, but they didn’t appear. However, those who didn’t appear were called and asked why they hadn’t appeared. The IRGC arrested four converts in the southwestern city of Dezful last April and charged them with “propaganda against the Islamic Republic” because they participated in a house church, according to an earlier report from Article 18. The IRGC also summoned other Christian converts for interrogation at the time. The four arrested had personal property confiscated for nearly six months, including necessary items for their children’s schoolwork, laptops and mobile phones. # ⚓ In_Malaysia,_calls_grow_for_child_marriages_to_end_by reforming_laws⠀⇛ It was legal for Lia to marry because Muslims in Malaysia, who are subject to sharia or Islamic law under the country’s dual-legal system, only need to be 16. Under secular law that applies to non- Muslims, who make up 28.7 per cent of the 32.7 million population, both parties have to be at least 18 to get hitched. # ⚓ Biden_Admin_and_EU_Silent_on_Iran’s_Rising_Persecution_of Religious_Minorities⠀⇛ Since the Biden administration lifted the “maximum pressure” imposed by the previous administration, the ruling mullahs have only escalated their persecution of religious minorities. Instead of incessantly lecturing the world on human rights, the EU and the Biden administration would sound more credible if they would stop appeasing the human rights catastrophe that Iran’s regime has become, and hold the ruling mullahs accountable. # ⚓ The_Lasting_Legacy_Of_Redlining⠀⇛ It’s been over 80 years since the lines were drawn in Fairfax and over 50 years since the use of redlining was legally banned, but the impact of redlining is still felt in cities like Cleveland, where redlined neighborhoods are some of the most starkly segregated in the country. o § Internet Policy/Net Neutrality⠀➾ # ⚓ What_the_Duck?_Why_an_EU_Proposal_to_Require_“QWACs”_Will Hurt_Internet_Security⠀⇛ QWACs use guidelines similar to Extended Validation (EV) certificates. Both are digital certificates issued to domain owners with an added process that establishes an identity check on the domain owner. This approach has been proven ineffective over the years. For a short while, browsers made a point of showing EV certificates to the user, displaying the certificate details in green. They assumed that this clear marker would indicate more security for users. However, nefarious parties ended up obtaining EV Certificates and hosting phishing sites. This highlights that HTTPS—supported by certificates—establishes a secure connection between you and that website, but does not guarantee the website itself is storing or using the information you may submit to it ethically. Nor is it an assurance that a company’s business practices are sound. That is what consumer protection laws are for. Because emphasizing these certificates proved ineffective in helping user security, Chrome and Firefox in 2019 decided to no longer emphasize EV Certified websites in the URL bar. Safari stopped in late 2018. However, EV certificates are significantly more expensive and some Certificate Authorities (CAs) that sell them still inaccurately suggest that browsers emphasize EV certificates in their sales pitch for these products. Requiring that QWACs be displayed in the same fashion is just further pursuing the illusion that displaying identity information to the user will be worth the effort. # ⚓ Resurrecting_Rutube_The_Russian_authorities_have_been investing_in_domestic_‘alternatives’_to_YouTube, investigative_journalists_report⠀⇛ The Russian authorities have been sinking money into domestic alternatives to YouTube for over a year, says a new investigation from iStories and Agentstvo. Allegedly, these Russian video platforms are meant to serve as substitutes in the event that Russia’s censorship agency bans YouTube altogether. However, sources say blocking YouTube would be a last resort — apparently, the authorities in the Kremlin hope that its parent company, Google, can be “forced into submission” through fines and threats to throttle YouTube’s traffic. # ⚓ Access_Now_to_U.N.:_it’s_time_for_transparency_in_the_Tech Envoy_process_–_Access_Now⠀⇛ On February 4, 2022, the Chef de Cabinet (the head of the Office of the U.N. Secretary-General in the Secretariat) responded to Access Now’s joint coalition letter on the U.N. Tech Envoy appointment process. The response, while timely acknowledging civil society’s input, did not commit to implementing the recommendations supported by over 90 organizations. Critically, while the response alludes to transparency, the Secretary General’s office indicates that the U.N. Tech Envoy selection process remains confined to “established [U.N.] practice” — a practice that needs updating within this appointment process and beyond. # ⚓ Update:_internet_access,_censorship,_and_the_Myanmar_coup_– Access_Now⠀⇛ Access Now and civil society organizations from across the globe are calling on the international community and technology companies to stand with the people of Myanmar and resist the coup — both physical and digital. A Myanmar citizen has filed a complaint at the Norwegian Data Protection Authority against Telenor Group under Article 77(1) of the European Union’s General Data Protection Regulation (GDPR) — contending that the sale of Telenor Myanmar will result in privacy violations of over 18 million customers. The complaint was filed by SANDS law firm, with the support of the Centre for Research on Multinational Corporations (SOMO). Access Now supports SOMO’s analysis that, “Telenor chose to enter the Myanmar market and asked Myanmar citizens — as part of its sales pitch — to trust the company with their personal data […] Telenor Group and its majority shareholder, the Norwegian government, have an obligation to protect these individuals from harm, which includes persecution, torture, and even extrajudicial killings.” o § Digital Restrictions (DRM)⠀➾ # ⚓ WarnerMedia_Sued_For_Giving_People_Want_They_Wanted_(The Matrix,_Streaming)_During_An_Historic_Health_Crisis⠀⇛ AT&T got a lot wrong (and still really can’t admit it) with the company’s $86 billion acquisition of Time Warner. There were endless layoffs, a steady dismantling of beloved brands (DC’s Vertigo imprint, Mad Magazine), all for the company to lose pay TV subscribers in the end. # ⚓ A_Fight_Over_the_Right_to_Repair_Cars_Turns_Ugly⠀⇛ Chie Ferrelli loved her Subaru SUV, which she bought in 2020 because it made her feel safe. So when it was time for her husband, Marc, to purchase his own new car last summer, they returned to the Subaru dealer near their home in southeast Massachusetts. But there was a catch, one that made the couple mad: Marc’s sedan wouldn’t have access to the company’s telematics system and the app that went along with it. No remote engine start in the freezing New England winter; no emergency assistance; no automated messages when the tire pressure was low or the oil needed changing. The worst part was that if the Ferrellis lived just a mile away, in Rhode Island, they would have the features. They bought the car. But thinking back, Marc says, if he had known about the issue before stepping into the dealership he “probably would have gone with Toyota.” Subaru disabled the telematics system and associated features on new cars registered in Massachusetts last year as part of a spat over a right-to-repair ballot measure approved, overwhelmingly, by the state’s voters in 2020. The measure, which has been held up in the courts, required automakers to give car owners and independent mechanics more access to data about the car’s internal systems. o § Monopolies⠀➾ # § Copyrights⠀➾ # ⚓ Google_Removed_‘Blocked’_Pirate_Sites_From_UK_Search Results⠀⇛ In recent months, Google has removed all search results from popular pirate site domains in several countries. The search engine voluntarily deindexed these sites after it was informed about local ISP blocking orders. The removals have also reached the UK now but, interestingly, The Pirate Bay appears to have been overlooked by the rightsholders. # ⚓ Omi_in_a_Hellcat_Will_Plead_Guilty,_Suddenly_Turns Anti-Piracy_Advocate⠀⇛ ‘Omi in a Hellcat’, a YouTuber who previously operated several pirate IPTV services, says he will plead guilty to a federal indictment accusing him of criminal copyright infringement, tax fraud, wire fraud, among others. Following earlier intransigence, he now appears to be spreading an anti-piracy message # ⚓ Robots_Have_No_Place_Filtering_Creative_Content,_EFF Tells_U.S._Copyright_Office⠀⇛ ╘══════════════════════════════════════════════════════════════════════════════╛ ¶ Lines in total: 6917 ➮ Generation completed at 02:42, i.e. 69 seconds to (re)generate ⟲