Tux Machines Bulletin for Tuesday, September 16, 2025 ┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅ Generated Wed 17 Sep 02:49:59 BST 2025 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 http://news.tuxmachines.org ╒═══════════════════ 𝐈𝐍𝐃𝐄𝐗 ═══════════════════════════════════════════════════╕ ⦿ Tux Machines - 4 reasons why I have started to look for NixOS alternatives ⦿ Tux Machines - Android Leftovers ⦿ Tux Machines - Android Leftovers ⦿ Tux Machines - Applications: Readest, ty, VirtualBox, and FreeIPMI ⦿ Tux Machines - Audiocasts/Shows: mintCast and Late Night Linux ⦿ Tux Machines - Budgie 10.9.3 Now Available ⦿ Tux Machines - Cantillon Lessons Guide Shift to Open-Source ⦿ Tux Machines - Dr. Andy Farnell to Speak at Digital Inclusion Coffee Morning in Portsmouth, England ⦿ Tux Machines - ESP32 Projects and GNU/Linux Terminal App in Android ⦿ Tux Machines - Events: Linux Plumbers Conference, Open Source Summit Europe, and SIDO ⦿ Tux Machines - Fedora Linux 43 Beta Released with Linux 6.17, GNOME 49, and KDE Plasma 6.4 ⦿ Tux Machines - Firefox 144 to Strengthen the Encryption of Logins in the Firefox Password Manager ⦿ Tux Machines - Free and Open Source Software, and Review ⦿ Tux Machines - Free and Open Source Software, and Review ⦿ Tux Machines - Games: Cattle Country, Godot 4.5, and GNOME’s Tetris Clone Quadrapassel ⦿ Tux Machines - Games: Super Mario Bros Remastered, Slay the Spire 2, and More ⦿ Tux Machines - GNOME/GTK Report From Christian Hergert and Gedit News ⦿ Tux Machines - Graphics: Fixes for Xorg Wizard and radv takes over from AMDVLK ⦿ Tux Machines - Half of September is Gone Already ⦿ Tux Machines - Installing Ubuntu Questing Quokka Beta ⦿ Tux Machines - I tried using Linux's AntiX OS on my super old laptop and it works like a charm ⦿ Tux Machines - Linux Mint picks up the pace with LMDE 7 and Wayland-ready Cinnamon ⦿ Tux Machines - Mobile Progress Report From Thunderbird and Mozilla Tells Users to Trash 'Old' Computers ⦿ Tux Machines - Monty Widenius 'heartbroken' over Oracle's MySQL job cuts ⦿ Tux Machines - Openwashing: Microsoft OSI Having a Crisis, Fake "Open Source" Slop (Not "AI") Criticised ⦿ Tux Machines - Our Reach Grows ⦿ Tux Machines - Programming Leftovers ⦿ Tux Machines - Programming Leftovers ⦿ Tux Machines - PureOS Crimson: August 2025 – Alpha Released ⦿ Tux Machines - Red Hat Hype ("AI") and RHEL ⦿ Tux Machines - Security Patches and More ⦿ Tux Machines - This 17MB Linux distro runs on just about any PC ⦿ Tux Machines - This beautiful Linux distro deserves to be better known - here's why ⦿ Tux Machines - Today in Techrights ⦿ Tux Machines - today's howtos ⦿ Tux Machines - today's howtos ⦿ Tux Machines - today's leftovers ⦿ Tux Machines - today's leftovers ⦿ Tux Machines - Transform Your Raspberry Pi 5 Into a Desktop Powerhouse with Alpine Linux ⦿ Tux Machines - Ubuntu Weekly Newsletter and Canonical Make It Easier to Install NVIDIA CUDA on Ubuntu ⦿ Tux Machines - Web Browsers/Web Servers: Varnish 8.0.0, Hosting A Website On A Disposable Vape, and Firefox 143 ䷼ Bulletin articles (as HTML) to comment on (requires login): https://tuxmachines.org/n/2025/09/16/4_reasons_why_I_have_started_to_look_for_NixOS_alternatives.shtml https://tuxmachines.org/n/2025/09/16/Android_Leftovers.1.shtml https://tuxmachines.org/n/2025/09/16/Android_Leftovers.shtml https://tuxmachines.org/n/2025/09/16/Applications_Readest_ty_VirtualBox_and_FreeIPMI.shtml https://tuxmachines.org/n/2025/09/16/Audiocasts_Shows_mintCast_and_Late_Night_Linux.shtml https://tuxmachines.org/n/2025/09/16/Budgie_10_9_3_Now_Available.shtml https://tuxmachines.org/n/2025/09/16/Cantillon_Lessons_Guide_Shift_to_Open_Source.shtml https://tuxmachines.org/n/2025/09/16/Dr_Andy_Farnell_to_Speak_at_Digital_Inclusion_Coffee_Morning_in.shtml https://tuxmachines.org/n/2025/09/16/ESP32_Projects_and_GNU_Linux_Terminal_App_in_Android.shtml https://tuxmachines.org/n/2025/09/16/Events_Linux_Plumbers_Conference_Open_Source_Summit_Europe_and_.shtml https://tuxmachines.org/n/2025/09/16/Fedora_Linux_43_Beta_Released_with_Linux_6_17_GNOME_49_and_KDE_.shtml https://tuxmachines.org/n/2025/09/16/Firefox_144_to_Strengthen_the_Encryption_of_Logins_in_the_Firef.shtml https://tuxmachines.org/n/2025/09/16/Free_and_Open_Source_Software_and_Review.1.shtml https://tuxmachines.org/n/2025/09/16/Free_and_Open_Source_Software_and_Review.shtml https://tuxmachines.org/n/2025/09/16/Games_Cattle_Country_Godot_4_5_and_GNOME_s_Tetris_Clone_Quadrap.shtml https://tuxmachines.org/n/2025/09/16/Games_Super_Mario_Bros_Remastered_Slay_the_Spire_2_and_More.shtml https://tuxmachines.org/n/2025/09/16/GNOME_GTK_Report_From_Christian_Hergert_and_Gedit_News.shtml https://tuxmachines.org/n/2025/09/16/Graphics_Fixes_for_Xorg_Wizard_and_radv_takes_over_from_AMDVLK.shtml https://tuxmachines.org/n/2025/09/16/Half_of_September_is_Gone_Already.shtml https://tuxmachines.org/n/2025/09/16/Installing_Ubuntu_Questing_Quokka_Beta.shtml https://tuxmachines.org/n/2025/09/16/I_tried_using_Linux_s_AntiX_OS_on_my_super_old_laptop_and_it_wo.shtml https://tuxmachines.org/n/2025/09/16/Linux_Mint_picks_up_the_pace_with_LMDE_7_and_Wayland_ready_Cinn.shtml https://tuxmachines.org/n/2025/09/16/Mobile_Progress_Report_From_Thunderbird_and_Mozilla_Tells_Users.shtml https://tuxmachines.org/n/2025/09/16/Monty_Widenius_heartbroken_over_Oracle_s_MySQL_job_cuts.shtml https://tuxmachines.org/n/2025/09/16/Openwashing_Microsoft_OSI_Having_a_Crisis_Fake_Open_Source_Slop.shtml https://tuxmachines.org/n/2025/09/16/Our_Reach_Grows.shtml https://tuxmachines.org/n/2025/09/16/Programming_Leftovers.1.shtml https://tuxmachines.org/n/2025/09/16/Programming_Leftovers.shtml https://tuxmachines.org/n/2025/09/16/PureOS_Crimson_August_2025_Alpha_Released.shtml https://tuxmachines.org/n/2025/09/16/Red_Hat_Hype_AI_and_RHEL.shtml https://tuxmachines.org/n/2025/09/16/Security_Patches_and_More.shtml https://tuxmachines.org/n/2025/09/16/This_17MB_Linux_distro_runs_on_just_about_any_PC.shtml https://tuxmachines.org/n/2025/09/16/This_beautiful_Linux_distro_deserves_to_be_better_known_here_s_.shtml https://tuxmachines.org/n/2025/09/16/Today_in_Techrights.shtml https://tuxmachines.org/n/2025/09/16/today_s_howtos.1.shtml https://tuxmachines.org/n/2025/09/16/today_s_howtos.shtml https://tuxmachines.org/n/2025/09/16/today_s_leftovers.1.shtml https://tuxmachines.org/n/2025/09/16/today_s_leftovers.shtml https://tuxmachines.org/n/2025/09/16/Transform_Your_Raspberry_Pi_5_Into_a_Desktop_Powerhouse_with_Al.shtml https://tuxmachines.org/n/2025/09/16/Ubuntu_Weekly_Newsletter_and_Canonical_Make_It_Easier_to_Instal.shtml https://tuxmachines.org/n/2025/09/16/Web_Browsers_Web_Servers_Varnish_8_0_0_Hosting_A_Website_On_A_D.shtml ䷩ 𝚕𝚒𝚗𝚎 136 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/4_reasons_why_I_have_started_to_look_for_NixOS_alternatives.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/4_reasons_why_I_have_started_to_look_for_NixOS_alternatives.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 4 reasons why I have started to look for NixOS alternatives⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Rianne Schestowitz on Sep 16, 2025 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇NixOS_manual⦈_ Quoting: 4 reasons why I have started to look for NixOS alternatives — I have been using NixOS for a few months now and have been enjoying it a lot, but the learning curve is essentially a steep cliff. Even after months, I still have to spend time figuring out the basics. I didn’t mind this until I realized I had a life and could do something better with my time, like experimenting with an even more unstable distro. Jokes aside, I am now looking for an alternative to NixOS, and the reasons are not limited to the learning curve. Read_on ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ䷩ 𝚕𝚒𝚗𝚎 193 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/Android_Leftovers.1.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/Android_Leftovers.1.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Android Leftovers⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Rianne Schestowitz on Sep 16, 2025 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Galaxy⦈_ * ⚓ Samsung_Galaxy_One_UI_8_Update_Release_Schedule_Revealed⠀⇛ * ⚓ Android_Quick_Settings_Can_Finally_Be_Resized—Here’s_How_It_Works⠀⇛ * ⚓ Google's_latest_Play_System_Update_makes_it_easier_to_find_and_share photos_on_Android_-_Android_Authority⠀⇛ * ⚓ Google_Forces_Android_Developers_to_Support_Custom_Icons⠀⇛ * ⚓ BlackBerry_Passport_getting_set_to_follow_Classic_with_a_new_life_on Android_-_Android_Authority⠀⇛ * ⚓ Sony_Xperia_1_VII_receives_Android_16_update_-_GSMArena.com_news⠀⇛ * ⚓ Pixel_beta_users_stuck_with_mandatory_data_wipe_for_Android_16_QPR1 stable⠀⇛ * ⚓ Samsung_Galaxy_phones_start_to_get_Android_16_and_One_UI_8_at_last_| T3⠀⇛ * ⚓ Google_mandates_developers_to_support_Android_16_QPR2's_forced_app_icon theming⠀⇛ * ⚓ Android_will_soon_be_able_to_theme_every_app_icon,_and_Google_Play won't_let_developers_opt_out_-_Android_Authority⠀⇛ * ⚓ Auto-themed_icons_are_coming_to_Android,_and_apps_can't_opt-out⠀⇛ ⣴⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸ ⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠾⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣶⣄⠀⠀⣠⠞⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⢸⣿⣿⡇⠀⣿⣿⣿⠀⠀⠀⠀⠀⢀⣶⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⡿⠛⠛⢿⣿⣿⣷⠞⠁⣠⣶⣶⣦⣄⠀⠀⢀⣤⣶⣶⣦⣄⠀⠀⠀⠀⠀⢸⣿⣿⡇⢸⣿⣿⡇⠀⣿⣿⣿⠀⠀⠀⠀⠀⢸⣿⣿⣀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠛⠛⠛⠛⣻⢤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣥⣤⣤⣀⣿⣿⣿⠀⣼⣿⣿⢿⣿⣿⡆⢠⣿⣿⡟⣛⣿⣿⣧⠀⠀⠀⠀⢸⣿⣿⡇⢸⣿⣿⡇⠀⣿⣿⣿⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣾⣿⠀⠙⠻⠿⠿⣿⠿⢿⣿⣿⣿⣿⡿⠟⠋⢹⠟⠀⢿⣿⡿⠀⣿⣿⡇⠸⣿⣿⡏⠛⠛⠛⠛⠀⠀⠀⠀⠸⣿⣿⣇⣼⣿⣿⠇⠀⢿⣿⣿⠀⠀⠀⠀⠀⢿⣿⡇⠀⢸⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⣾⣿⡿⠟⠀⠀⣀⣀⣴⢥⣤⢤⣤⣴⡿⣫⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠏⠀⣀⣶⣿⢿⣿⣿⣿⣿⣿⣿⣽⣿⡟⠛⣿⠛⠛⣿⣿⣿⣿⣿⣿⡟⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⢻⣿⡛⠛⠛⠛⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⢻⣿⣿⣿⣿⣿⣟⡻⠿⠿⣿⣶⣀⠀⠀⠀⢠ ⣿⠃⠀⣼⣿⠋⢁⡈⠉⠙⠛⠿⠿⣿⣿⣿⠁⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢀⣿⠉⢹⣿⣷⣶⣤⣤⠀⠀⡾⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⣼⣿⣿⣿⡿⠛⠋⠀⠀⠀⢈⣟⣿⣦⠀⠀⠈ ⡏⠀⢸⣿⠃⠀⣿⠉⢻⠶⣶⣤⣤⣀⣀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⣸⡏⠉⣿⣿⣿⣿⣿⡿⠀⠈⠀⠀⠈⠉⠛⠛⠻⠿⡏⠀⠀⠙⠻⠿⣉⠀⠀⠀⠀⠀⠀⣸⣿⣞⣿⡇⠀⠀ ⡇⠀⢸⣿⠀⣸⠛⠒⡿⢶⣿⣿⣿⣿⣿⠁⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢠⣿⠉⢹⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⡴⠶⣤⣤⣀⡀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⢸⣿⢀⡿⠓⢾⣷⣾⣿⣿⣿⣿⡏⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⣀⣀⡈⠉⠙⠛⠻⠿⢿⠟⠀⣼⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠗⢰⣿⣿⣿⣿⣿⣷⣦⠀⣸⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⢸⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢠⣟⠉⢻⣿⣷⣶⣦⣤⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠒⣿⣿⣿⣿⣿⣿⣿⡏⢠⣿⣿⣿⣿⣿⡇⠀⢸ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⣾⡋⢙⣿⣿⣿⣿⣿⡟⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣼⣿⣿⣿⣿⣿⡇⠀⢸ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠉⠛⠻⠿⢿⣿⣿⣿⣿⠀⢰⣏⠉⣹⣿⣿⣿⣿⣿⠁⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⠁⢀⡴⢦⣤⣀⣀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢠⣿⣿⣿⣿⣿⣿⡇⠀⢸ ⡆⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⡿⠓⢶⣦⣤⣀⣀⠈⠉⠁⠀⣾⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⡏⠀⣼⠂⢼⣿⣿⣿⣿⣿⣶⡀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠸⣿⣿⣿⣿⣿⣿⡇⠀⢸ ⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⣸⠗⠠⣾⣤⣿⣿⣿⣿⡿⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⠀⢰⡟⠐⣿⣿⣿⣿⣿⣿⣿⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⣤⢤⣄⣉⠉⠛⣿⡇⠀⣿ ⠃⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠇⢀⡿⠢⣴⣧⣼⣿⣿⣿⣿⠇⠀⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⣀⣀⡈⠉⠙⠛⠻⠿⣿⡇⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⣸⠁⠀⣹⣿⣿⣿⣿⡇⠀⣿ ⠀⠀⢸⣿⠛⠻⠿⣿⣿⣿⡟⠀⣸⣧⣤⣾⣿⣿⣿⣿⣿⡟⠀⢰⣿⣿⣿⣿⣿⣿⣿⡿⠀⢰⡏⠉⣿⣿⣶⣶⣤⣤⡀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢀⡏⠀⢀⣿⣿⣿⣿⣿⡇⠀⣿ ⠀⠀⢸⣿⣤⣤⣄⣀⠀⠉⠁⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⣾⣿⣿⣿⣿⣿⣿⣿⠇⠀⣾⠉⢹⣿⣿⣿⣿⣿⣿⡇⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠘⠿⢿⣿⣿⣿⣿⣿⣿⡿⠀⣸⣧⣀⣼⣿⣿⣿⣿⣿⡇⠀⣿ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⡿⠿⠛⠛⠉⠁⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡿⠀⢸⡏⠉⣿⣿⣿⣿⣿⣿⣿⠁⢰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⢠⣦⣤⣀⣀⠉⠉⠛⠛⠿⠃⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡈⠉⠙⠛⠻⠿⣿⠇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⣾⣅⣠⣏⣹⣿⣿⣶⣦⡄⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿ ䷩ 𝚕𝚒𝚗𝚎 274 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/Android_Leftovers.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/Android_Leftovers.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Android Leftovers⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Rianne Schestowitz on Sep 16, 2025 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇game⦈_ * ⚓ You_can_now_turn_your_Android_phone_into_a_mini_Nintendo_Switch⠀⇛ * ⚓ Android’s_next_flagship_processor_is_the_‘Snapdragon_8_Elite_Gen_5’_| The_Verge⠀⇛ * ⚓ Android_Auto's_media_player_looking_faded?_This_may_be_why⠀⇛ * ⚓ Android_Auto_bug_breaks_the_music_player_widget⠀⇛ * ⚓ This_Chip_Will_Power_2026's_Best_Android_Phones._I_Can't_Wait_to_See What_It_Can_Do_-_CNET⠀⇛ * ⚓ Going_Native_With_Android's_Native_Development_Kit_|_Hackaday⠀⇛ * ⚓ Samsung_begins_stable_One_UI_8_rollout_for_Galaxy_S25⠀⇛ * ⚓ Official_One_UI_8_(Android_16)_rollout_for_Galaxy_devices_has_begun_- SamMobile⠀⇛ * ⚓ Samsung_confirms_initial_list,_schedule_for_Android_16_rollout⠀⇛ ⣿⣿⣿⡟⠛⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠁⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠀⠀⠀⠀⠘⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⢨⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠛⠛⠛⠛⠛⠛⠛⠛⠉⢉⡉⢉⣉⡉⠉⠉⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⠈⠨⠋⠛⠛⠋⢉⣉⣉⣉⣉⣁⣉⣀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣛⣻⣿⠛⠻⠛⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⠈⠉⠙⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⡄⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣄⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠤⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡟⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣏⣀⡀⡀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⠋⠩⣿⣿⣿⣿⠟⠟⠉⡘⢛⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⢿⡏⠀⠠⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠀⠀⠀⠀⠀⠀⠻⠟⠁⠀⠀⠀⠀⠁⠀⢿⡷⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⣴⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⢠⣾⣿⠇⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠘⠓⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⡀⡀⣿⣷⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⣸⣿⣿⠀⠀⠀⠀⠀⢠⡸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⣿⣿⡏⠀⠀⠀⠀⠀⢀⡟⡿⠃⠀⠀⣀⣠⣤⣶⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⣿⣿⠇⠀⠀⠀⠀⠀⠰⠿⣀⢠⣤⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠟⠛⠛⠛⠛⢛⣛⣛⣛⣋⣉⣥⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⠿⠿⠿⠿⠿⠿⠟⠛⠛⠛⠛⠛⠛⠛⠉⢉⡉⠉⠉⠀⠀⠀⠀⠀⢀⣤⡴⠂⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⢀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⣼⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣥⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠟⠁⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 346 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/Applications_Readest_ty_VirtualBox_and_FreeIPMI.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/Applications_Readest_ty_VirtualBox_and_FreeIPMI.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Applications: Readest, ty, VirtualBox, and FreeIPMI⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Sep 16, 2025 * ⚓ It's FOSS ☛ This_Could_Be_My_New_Favorite_eBook_Reader_App_on_Linux⠀⇛ Readest offers a modern cross-platform eBook reading experience on Linux. * ⚓ Linux Links ☛ ty_–_fast_Python_type_checker⠀⇛ ty is a fast Python type checker and language server. ty will run on all Python files in the working directory and or subdirectories. * ⚓ TecMint ☛ Top_6_GNU/Linux_Apps_You_Should_Install_This_Week_(Sept_15- 21)⠀⇛ It isn’t easy to figure out which of the many GNU/Linux apps out there are actually worth installing. * ⚓ Ubuntu Handbook ☛ VirtualBox_7.2.2_Fixed_TPM_2.0_Emulation_&_KVM Conflict⠀⇛ Oracle VirtualBox, announced the first maintenance update for the 7.2 release series few days ago. VirtualBox 7.2.2 fixed various crash issues and regressions in the major 7.2.0, it as well added some minor new features. * ⚓ GNU ☛ freeipmi_@_Savannah:_FreeIPMI_1.6.16_Released⠀⇛ o Fix potential sensor reading miscalculation on systems where a char is defined as unsigned (such as ARM) vs signed (such as x86). o Fix gcc15 compilation errors. ䷩ 𝚕𝚒𝚗𝚎 404 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/Audiocasts_Shows_mintCast_and_Late_Night_Linux.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/Audiocasts_Shows_mintCast_and_Late_Night_Linux.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Audiocasts/Shows: mintCast and Late Night Linux⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Sep 16, 2025 * ⚓ mintCast Podcast ☛ mintCast_468_–_Very_Plexable⠀⇛ First up in the news: GNU/Linux Mint 22.2 “Zara” released, Mint Monthly News – August In security and privacy: Plex is a problem again * ⚓ Late_Night_Linux_–_Episode_351⠀⇛ Cloning disks (again), Félim’s new colour e-reader, 3 ways to make a QR code, improving your typing with a TUI and a game, a quick KDE Korner, and more. ䷩ 𝚕𝚒𝚗𝚎 437 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/Budgie_10_9_3_Now_Available.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/Budgie_10_9_3_Now_Available.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Budgie 10.9.3 Now Available⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Rianne Schestowitz on Sep 16, 2025 Quoting: Budgie 10.9.3 Now Available » Linux Magazine — Budgie is a Linux desktop environment that is heralded as one of the more attractive options available, and version 10.9.3 is now available for installation. While this new version is a minor upgrade, it holds a rather important purpose – aligning with Gnome 49. With Gnome deprecating several features in gnome-settings-daemon (including the deprecation of their .desktop files), the Budgie developers have developed their own in-tree forks for MediaKeys, Power, and Wacom support. In addition to alignment with changes in Gnome, Budgie also adds fixes for things like Mutter overlay-key change, libxfce4windowing API changes, and Vala 0.56.18+ compact class removal changes. Read_on ䷩ 𝚕𝚒𝚗𝚎 478 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/Cantillon_Lessons_Guide_Shift_to_Open_Source.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/Cantillon_Lessons_Guide_Shift_to_Open_Source.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Cantillon Lessons Guide Shift to Open- Source⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Rianne Schestowitz on Sep 16, 2025 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇e-waste_not_with_Linux⦈_ Quoting: Cantillon Lessons Guide Shift to Open-Source - openSUSE News — Switching to Linux distributions like openSUSE reverses this imbalance. Instead of sending public money to distant corporations, funds stay local and support IT jobs for regional developers and entrepreneurs. The use of open-source Linux distributions also extends the life of existing hardware and reduces e-waste, which proprietary models can exploit for unnecessary spending. Free Software Foundation Europe’s Public Money, Public Code campaign makes the case clearly; open code ensures transparency, prevents lock-in, and strengthens digital sovereignty. Switzerland has already enshrined this principle in law through its Federal Law on the Use of Electronic Means for the Fulfilment of Governmental Tasks (EMBAG), which reflects its federalist tradition of governance. Other countries are pursuing similar measures and it signals a clear shift toward legally ensuring openness and local control in publicly funded software. Read_on ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⠿⠛⢹⣿⡿⠿⠁⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢐⣺⠿⣏⠹⠙⠋⡯⠉⢻⠉⢭⠀⡝⠩⢹⡖⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡿⠛⠉⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠸⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣼⣿⣿⣤⣧⣼⣧⣤⣼⣤⣾⣦⣵⣬⣽⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠉⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⢀⣶⣄⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⢿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢀⣠⣴⣶⣿⣿⡇⠀⣠⣿⣉⢏⣦⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠃⡟⢉⠙⠁⣽⣿⠹⠉⠏⡏⢹⠀⣽⢈⠙⣿⡇⢸⣿⢸⠋⡉⢻⢹⡏⣯⠙⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣼⡿⢿⣿⣿⡿⣿⣿⣿⠃⣰⠿⡬⣣⣿⣿⡇⠀⠀⠀⠀⢿⡿⠋⣿⣿⣿⣿⣿⣿⣧⣼⣤⣷⣬⣴⣦⣽⣿⣦⣶⣴⣧⣼⣦⣽⣼⣤⣿⣧⣬⣽⣼⣦⣧⣼⣤⣤⣯⣴⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⠁⠀⠙⢿⠛⠋⠉⢀⣼⠛⡖⣵⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠁⠀⠀⠀⠀⢳⠀⢀⣾⣉⢏⣾⣿⣿⣿⡿⠋⠁⠀⠀⠠⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⡜⢠⣿⡤⣣⣿⡿⣿⣿⡟⠀⠀⠀⠀⠀⠂⠀⣀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⠟⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣄⠀⠀⠀⡸⠀⠀⠻⣷⣿⣿⣇⠈⠻⢿⣷⣦⣄⡀⠀⠀⠹⣿⣷⣜⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⡄⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠙⢷⣤⣄⣁⡀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠙⠿⣿⣿⣿⣶⣤⡀⠉⠉⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣨⣿⡿⠟⢀⣴⠀⠀⠀⢀⣄⠀⠀⠈⠐⢄⣾⣿⣿⣿⣿⣿⣦⣄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠛⠋⣠⣶⡿⠇⠀⣴⢾⣿⣿⣷⣆⡀⠀⠀⢙⣿⠿⠟⠛⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣾⣥⣤⣤⡤⠴⠶⠚⣿⣿⣿⣿⣿⣦⣴⣿⣿⣄⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣼⣿⣿⣿⣧⠀⠀⠀⢀⣬⠉⠙⠛⠛⠛⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣰⣿⣿⠟⢻⣿⣿⣾⣿⣿⣿⣇⠀⠀⠀⠀⠘⣿⣿⣿⣿⣧⣠⣤⣤⣶⠆⠀⠈⠛⢿⣿⠿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⠟⠁⠀⠈⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠉⠛⠿⡿⠟⠛⠛⠋⠁⠀⠀⠀⠀⠈⠁⠀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠘⣿⣿⣿⣇⠀⠀⢻⠆⠀⠀⠀⠀⠀⠀⠀⠁⠢⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣿⣿⣿⣿⣿⡟⠀⠀⠠⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡀⠀⠀⠀⠀⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠈⠻⠿⠿⠖⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠒⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⣿⣿⡿⠃⠀⠀⣠⠸⠛⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡉⠸⣿⢃⣶⣤⠀⠀⢫⣾⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣼⣿⣿⣿⣿⡟⠁⠀⠀⠰⠇⠀⠀⠀⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣤⣤⣶⣿⣷⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⣀⣀⣀⣀⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⣠⣾⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣶⣶⣶⡶⠋⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠄⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿ ⠀⠾⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣯⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣴⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠻⣿⣿⣿⣿⡿⠇⠀⢀⣠⣤⣤⣤⣽⣿⣿⣿⣿⣿⣿ ⠀⠀⠈⠙⠻⢿⣿⣿⣿⡿⠋⠀⠀⣠⣴⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠃⠀⠀⠀⠈⠙⠻⢋⣡⣴⣿⣿⣿⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀⣈⣉⣠⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⢀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣀⣀⣠⣤⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣤⣤⣤⣶⣤⣤⣤⣤⣤⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 551 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/Dr_Andy_Farnell_to_Speak_at_Digital_Inclusion_Coffee_Morning_in.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/Dr_Andy_Farnell_to_Speak_at_Digital_Inclusion_Coffee_Morning_in.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Dr. Andy Farnell to Speak at Digital Inclusion Coffee Morning in Portsmouth, England⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Sep 16, 2025, updated Sep 16, 2025 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Yorkshire_Dales_landscape_near_Grassington_in_autumn⦈_ Dr. Andy Farnell has_a_new_article about a number of interesting facets in "modern" technology. "People use technology in different ways and have different needs which change through different stages of life, career, wealth and health," he argues. "Inappropriate and even dangerous technology happens when it is not thoughtfully chosen. This happens when it's forced upon types of people who are "expected to use" one-size-fits-all solutions. As an obvious example consider the use of money..." Further down he talks about GNU/Linux and BSDs: "Commercial software got between the makers and end users, For example, Apple's operating system is great, but it's derived from a completely free system called BSD. Likewise Google's operating system is based on Linux, written and distributed for free by Finnish programmer Linus Torvalds. You can still obtain and install both of those systems (BSD and Linux) on your devices for free. They are arguably better than the branded alternatives. In doing so you get to talk directly to the developers. You can sponsor them with money. You can ask for features, or if you're skilled contribute directly to making the software people need." Dr. Farnell will "next be at Anchorage Lodge Community Centre in Portsmouth on Wednesday the 24th of September 2025 from 10am to 12pm." Why? Read the first and second paragraphs: "This month we are joining a Digital Inclusion Coffee Morning in Portsmouth. For this event most of the audience will be older people. We're keen to get some new input." Let's wish him well. He_wrote_a_good_article_for_us_back_in_2021. █ ⢭⢿⣧⣿⠿⠟⠻⠅⠋⡈⠙⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣉⣿⣿⣿⡿⢿⣿⣿⣿⣿⡿⠿⣿⣿⠿⣿⣿ ⣿⡈⠈⠀⠠⠘⠂⠀⠐⢀⢀⡐⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢾⣍⠙⢫⣷⣿⣿⣿⣿⣿⣿⣿⣿⣄⣤⣶⣶ ⠛⢉⠶⢀⣜⣷⢾⡷⣶⣽⡭⠀⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣳⣿⠙⢧⣸⡿⣿⠷⣰⣟⠛⠻⡕⣟⣃⡉⠿⠿ ⠒⢓⠃⠈⡉⠟⢁⣂⢰⣿⠯⠳⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠻⣯⡟⠻⣧⡵⢿⣥⠶⢀⡴⡔⣻⡵⢾⡖⠑ ⠀⠐⣔⠴⣠⡴⢿⠗⣽⡷⣟⠙⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢛⣿⣿⢟⡭⡉⠙⠻⠏⢡⠀⠚⠛⣯⣋⢭⡍⡈⠉⢈⠩⠀⠹⢷⠁⢠⣄ ⠄⠀⠰⢰⣩⠟⠞⠞⠛⠋⢣⡁⣸⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠻⠿⠿⢿⣿⣿⠿⣛⠉⢙⡁⣉⣐⡒⣳⢃⠄⡌⠁⠀⠐⠀⠰⠚⠉⠀⠀⠈⠀⠀⠀⠀⠐⡢⣀⣤⡤⠶⣧⣀ ⠀⠀⠜⠚⠿⣆⠀⡀⢤⣆⣈⢀⡛⠻⢭⣿⣿⣿⣿⠿⠿⡿⠿⠟⠛⠿⠿⢿⠿⠛⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠰⠘⢟⣃⠋⠁⣉⣈⡿⠿⠉⠉⠁⠐⠦⣀⣀⠠⢴⡤⡀⡠⠶⣦⡤⠤⠾⠉⣻⡀⠀⠀⠯ ⠀⠐⢴⢂⡀⠉⠑⠈⢁⡉⡀⠀⣀⠠⢙⣛⢉⢉⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢀⣃⣩⢿⠋⣏⣀⠠⠴⣤⣀⠐⣢⡐⠁⠹⡄⠘⠲⣤⣂⠀⠄⠠⢬⡀⠐⠀⠀ ⠀⠀⠓⠙⢢⡀⠀⠀⠀⠄⣶⠤⡜⣿⣾⠾⣋⣓⡿⣟⡱⣶⣶⣶⣶⣶⣶⡶⠒⠘⠙⢷⢾⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣋⠉⠽⠈⠋⠈⡯⠈⠁⠉⠁⣀⣤⡠⣄⣈⡉⠀⠀⣰⠶⢶⣇⡈⠥⠀ ⠀⠀⠀⠀⢸⡧⠠⠃⠐⢯⢤⡨⠀⢨⡅⠤⡤⡬⡙⣙⠤⣾⡟⠽⣿⣿⣿⣃⠀⠙⠒⠶⡿⢯⣡⣀⠼⠟⣿⣿⣿⣾⣾⣿⣿⣿⣟⣉⡳⣺⡚⡯⡄⠒⠡⠕⢓⣿⣥⣀⣀⡠⠐⠟⠅⠀⠀⠀⠀⠀⠀⠈⠀⠀⠁⠓⠚⠅ ⠀⠀⠀⠀⠈⠻⣦⢀⠀⣡⣄⠅⡀⠠⣢⣷⢊⣤⣲⠶⡒⠋⠉⣠⡻⢿⡏⠀⠔⠀⠄⣼⣽⡯⣿⣿⠿⣧⠷⣟⣿⣿⡟⡻⣿⣿⣿⣛⠓⠈⢙⠃⢠⠤⡦⠒⣉⠒⢽⠚⠫⣏⡄⠴⠿⠶⠒⢊⠣⠀⠐⠛⠂⠩⣌⠀⠐⣦ ⠀⠀⠀⠀⠀⠀⡘⠲⢤⠜⠑⢉⠃⠈⡙⠀⣰⣼⢆⣷⡵⠮⠓⠛⣿⠏⠀⠀⠰⢠⡼⢍⣠⣤⠋⠛⣭⠦⠁⢰⡿⣿⣀⣿⠿⣾⣿⣿⣾⣛⢨⠿⢖⣫⡉⠙⠐⠀⠈⠈⠀⠬⠛⠪⠘⠈⠈⠑⠀⠀⠀⠐⠃⠀⣅⡁⣝⢙ ⠀⠀⠀⠀⠀⠀⠭⢷⣮⣤⡀⠐⡓⠶⣦⣤⣽⡻⣿⠾⣻⣗⠂⢠⣿⣿⣤⣤⣴⡶⠿⣿⡟⢩⣥⣄⣠⣤⣴⣿⣿⣯⣋⣥⣤⣏⣁⣉⣥⣤⣜⣷⢋⣛⣟⡀⡀⠀⠀⠀⠀⠀⠀⠀⠠⣀⢀⠀⠀⠀⠀⣤⠦⠄⠭⡁⢈⣥ ⠐⠂⠈⠀⠀⠠⠀⠈⠙⢛⣿⣿⣿⣿⣦⣔⡏⠋⢬⣯⢮⣝⠻⣿⣧⣤⣩⣄⣀⡀⣁⣁⢈⣉⢉⣉⣠⡈⠉⠙⠣⠭⠙⠛⠛⠻⢛⡟⠓⠟⠛⠛⠳⠢⠢⠝⠉⠒⠒⠊⠩⣤⠠⠐⠐⡰⣚⠉⠁⠀⠠⣤⣶⢧⣷⣧⣤⣷ ⣿⣿⣷⣿⣿⣷⣶⣷⣦⣤⣼⣿⣿⣿⣋⣿⡿⠃⠀⠁⡀⠀⣉⡉⠍⣉⣉⣉⢉⠙⠋⣙⠛⣿⣿⡛⣋⡩⣭⣭⡽⢔⢻⣿⣓⣯⣿⣿⣿⣶⠮⠶⣦⣤⡴⠤⣦⣬⠄⢀⠰⢶⠦⡤⢀⡤⠠⠀⠀⢀⠀⢬⣄⠒⠀⣿⣺⣶ ⠟⠿⣻⣿⣟⣟⠻⠟⣿⠿⠛⣟⢛⢿⣶⠛⠋⠀⠠⠤⢤⣤⣌⣻⣿⣿⣿⡿⠶⠿⠿⠿⠧⢴⠴⠶⠶⠖⣾⡛⠋⠟⣓⣾⣿⣟⣿⣿⣿⣿⣿⣷⣩⣀⣑⠆⠊⠿⠷⠶⡾⠿⠿⡃⠄⢤⠌⣹⣿⣼⡷⠦⠿⣪⠠⢻⣿⠿ ⠑⠥⢥⣤⣿⣿⠧⡁⠑⠒⠦⠒⠁⠈⠉⠤⠤⡴⣾⡿⠭⣭⡧⣄⠶⠶⠆⠐⠛⠦⠠⠚⠒⣲⠐⢺⠶⠶⢖⣁⣉⣥⡿⠿⠿⠾⠿⠿⢻⣻⣏⣛⣋⣩⣌⡤⡄⠈⠥⠅⠀⡦⠤⣼⢿⣽⣿⣿⣭⣤⣤⣶⡈⢿⠍⠾⡧⠀ ⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠠⠄⠈⠁⠀⠀⠀⠐⠀⣀⣠⣶⣒⡆⣔⣐⣛⣟⣗⣘⣫⣤⡄⠻⡻⠿⢋⢩⣭⣰⣠⣴⣦⣴⣶⣶⣶⣿⣷⣷⣾⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠟⠟⠛⠋⠀⠀⠈⠀⠀⢀⡔ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⢀⣰⣲⣂⣤⣶⣶⣶⣄⣒⣒⣓⣒⣂⣈⣛⣉⣁⣌⣤⣬⣭⣭⣽⣿⠿⠿⠿⠿⠿⠭⠿⣿⠿⠛⣿⠛⣿⠟⠛⠉⠛⠋⠀⠀⠀⠀⠀⣀⣀⣀⣄⣀⣀⣠⢶⡧⣼⣾⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⡙⠁⠻⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣶⣶⣦⣵⣺⣓⣾⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠋⠉⠉⠁⣀⣀⣤⣤⣴⣶⢶⣾⢿⣿⣯⣥⣽⣾⣽⡿⢟⠉⢠⡶⣿⠿⣿⣉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠄⠌⠨⠹⡿⠛⣛⠻⣿⠿⠿⡿⠿⠿⠟⣻⣭⣯⣻⣿⣭⢙⣾⡙⣯⣥⢶⣿⣿⡿⣟⠿⢿⣿⣿⣿⣦⠀⢴⣶⣨⣽⣿⣿⣛⣋⣽⣿⣿⣿⣯⣿⣿⣿⣩⣯⡥⠤⣓⠛⠀⠀⢀⡀⣀⣉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠁⠆⣬⣭⣉⣷⣶⣮⣥⣤⣦⣶⣾⣿⣿⣿⣿⣿⣿⣿⡿⢿⣻⠿⠟⠿⠷⣯⣭⣝⣿⣿⣷⣶⣶⣿⣿⣿⣷⣿⣿⣷⣿⣿⣿⣿⣟⡿⣿⢿⣿⣿⣿⡟⣿⡻⣿⢿⣴⣶⣶⣶⣟⣿⣿⡟⢳ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣋⠿⠿⠛⠛⠻⢛⣉⣩⣿⣫⡉⠗⢶⢶⣻⣽⢿⢧⣴⣿⣿⣿⠷⢶⣦⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠿⠛⠛⠻⠋⢥⣮⣽⣹⢯⠚⠛⣿⡧⢟⣺⣽⣛⡻⠿⠛⠙⡯⣿⣿⣽ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠠⠐⠀⢀⣠⣤⣤⣭⣿⣾⢿⣏⢠⣠⣤⣤⣤⣬⣿⣿⣛⣿⢿⣿⡶⡋⣍⣹⠛⠛⠛⠟⠛⠛⠋⠀⠀⠎⠈⠀⠀⠀⠀⣠⣀⣀⣾⣿⣟⣋⡿⠗⣷⣟⣁⢴⣉⣠⣼⣤⣴⣴⣾⣿⣛⣽⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠼⠿⢟⣛⣿⣷⣭⡿⣉⣽⣯⣯⣽⣻⣿⡿⠋⣟⣳⣿⣶⣿⣿⣽⣷⣿⣤⣤⣁⢄⢰⣠⣀⣈⣡⣤⣴⣦⣤⣴⣞⠷⣿⣿⣿⣿⣻⣟⢁⣰⣾⣿⡿⠿⠻⠿⠿⡿⣿⣿⣿⣿⡿⣿⣯⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣹⠛⢻⣻⢻⣍⠉⣿⣷⣾⣿⣿⣿⣿⣿⣿⡗⠁⡌⠟⣿⡿⢻⣿⣿⣿⣧⡌⢉⣽⣻⣛⣻⣫⣶⠛⢭⡽⠿⣏⣽⣿⣿⡿⢯⣿⣿⡿⣿⣟⡟⠋⠁⣀⣀⣼⢶⢦⠚⣏⢋⣿⡾⠿⡿⠟⠙ ䷩ 𝚕𝚒𝚗𝚎 629 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/ESP32_Projects_and_GNU_Linux_Terminal_App_in_Android.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/ESP32_Projects_and_GNU_Linux_Terminal_App_in_Android.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ ESP32 Projects and GNU/Linux Terminal App in Android⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Sep 16, 2025 * § Open Hardware/Modding⠀➾ o ⚓ Hackaday ☛ Off_To_The_Races_With_ESP32_And_EInk⠀⇛ Off to the races? Formula One races, that is. This project by [mazur8888] uses an ESP32 to keep track of the sport, and display a “live” dashboard on a 2.9″ tri-color LCD. o ⚓ CNX Software ☛ ESP32-S3_wide_touch_display_development_board features_a_640×172_touch_LCD,_Hey_Hi_(AI)_voice_support⠀⇛ Waveshare has recently introduced ESP32-S3-Touch-LCD- 3.49, an ESP32-S3-based wide touch display (640×172) development board for HMI and Hey Hi (AI) voice applications such as handhelds, smart panels, meters, kiosks, and small IoT dashboards. The device comes in two variants, where Case A supports a single 18650 lithium battery and Case B is designed for a 3.7V Li-Po battery. * § Mobile Systems/Mobile Applications⠀➾ o ⚓ nmilosev:_Customizing_the_new_GNU/Linux_Terminal_App_in_Android 15/16⠀⇛ We have come a long way since Termux and proot :) Android 15 and 16 on Pixel phones allow you to run a fully fledged virtual machine on your device. As a happy new owner of a Pixel 10 Pro I was eager to find out how well it works. The short summary is that it works very well! But… The terminal app itself is lacking any customization, not even font size, so I decided to dig a little bit deeper into how it works. The default theme of Courier (?) font and a grey background is fine, but what if you want to change it? ䷩ 𝚕𝚒𝚗𝚎 695 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/Events_Linux_Plumbers_Conference_Open_Source_Summit_Europe_and_.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/Events_Linux_Plumbers_Conference_Open_Source_Summit_Europe_and_.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Events: Linux Plumbers Conference, Open Source Summit Europe, and SIDO⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Sep 16, 2025 * ⚓ LWN ☛ Linux_Plumbers_Conference_registration_open⠀⇛ Registration for the 2025 GNU/Linux Plumbers Conference (Tokyo, December 11 to 13) is now open. LPC tickets often sell out quickly, so it would be best not to delay if you intend to attend. * ⚓ Bootlin ☛ Back_from_Open_Source_Summit_Europe_2025:_talks_from Bootlin⠀⇛ Bootlin had a very strong presence at the recent Open Source Summit Europe, with 26 members of our team attending the event, 8 talks given by our engineers, and a booth at the technical showcase. As the 'Linux' Foundation just posted the videos of all talks from the event, now is a good time to … Continue reading "Back from Open Source Summit Europe 2025: talks from Bootlin" * ⚓ Collabora ☛ Adding_an_Hey_Hi_(AI)_edge_at_SIDO_2025⠀⇛ Visit us at the STMicroelectronics booth, where Collabora will highlight how the STM32MP2 chip empowers edge Hey Hi (AI) solutions for industrial applications. ䷩ 𝚕𝚒𝚗𝚎 749 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/Fedora_Linux_43_Beta_Released_with_Linux_6_17_GNOME_49_and_KDE_.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/Fedora_Linux_43_Beta_Released_with_Linux_6_17_GNOME_49_and_KDE_.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Fedora Linux 43 Beta Released with Linux 6.17, GNOME 49, and KDE Plasma 6.4⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Marius Nestor on Sep 16, 2025 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Fedora_Linux_43_Beta⦈_ Powered by the upcoming Linux 6.17 kernel series, the Fedora Linux 43 beta ships with the soon-to-be-released GNOME 49 desktop environment for the flagship Fedora Workstation edition, as well as the latest KDE Plasma 6.4 desktop environment on the Fedora KDE Plasma Desktop edition. Some interesting features in Fedora Linux 43 include the Anaconda WebUI installer by default for more Fedora Spins, a Wayland-only GNOME session for the Fedora Workstation edition, support for the COLRv1 format in the Noto Color Emoji fonts, and support for the Hare programming language. Read_on ⠐⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠂⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠐⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠐⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣶⣶⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⠀⣴⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠃⠀⠀⣴⣗⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣀⣠⣶⣶⣶⣶⣶⣶⣶⣿⣿⠀⠀⢠⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣦⣄⡀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣿⣿⣿⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣀⠀⠀⠀⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣠⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢠⣾⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣦⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣮⡇⠀⠀⠀⠀⢼⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠈⠁⠀⠀⠀⠀⢸⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠁⠀⠀⠀⠈⠻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠁⠀⠀⠈⠁⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⡄⢠⣤⣤⠀⣶⣶⠀⣶⣶⡆⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠈⠋⠋⠀⠛⠛⠀⠙⠛⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ䷩ 𝚕𝚒𝚗𝚎 806 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/Firefox_144_to_Strengthen_the_Encryption_of_Logins_in_the_Firef.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/Firefox_144_to_Strengthen_the_Encryption_of_Logins_in_the_Firef.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Firefox 144 to Strengthen the Encryption of Logins in the Firefox Password Manager⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Marius Nestor on Sep 16, 2025 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Firefox_144_beta⦈_ Firefox 144 is yet another small update that only promises to strengthen the encryption used for the logins saved in the Firefox Password Manager using a more modern encryption scheme by switching from 3DES-CBC to AES-256-CBC. Firefox 144 also promises to improve the Picture-in-Picture feature by allowing you to close the PiP window without pausing the video using Shift + Click on the close button or Shift + Esc to exit. On Firefox for Android, Firefox 144 will remove the “Allow screenshots in private browsing” setting. Read_on ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠛⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢛⣛⣛⢛⣛⣛⣛⡛⣛⣛⣛⢛⣛⣛⡛⣛⣛⣛⣛⣛⢛⣛⣛⣛⣛⣛⠛⢛⣛⣿⣟⡛⢻⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠀⠛⠛⠈⢛⣿⣿⣿⣿⣿⣿⣿⠛⣥⣤⣤⢠⣤⣤⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣉⣉⣈⣉⣉⣉⣁⣉⠉⠉⠈⠉⠉⠁⠉⠉⠉⠉⠉⠈⠉⠉⠉⠉⠉⠈⠈⠉⠛⠋⠁⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠾⠾⠸⠷⠮⠗⠷⠧⠧⠅⠨⠴⠵⠽⠩⠾⠬⠳⠵⠴⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⠿⠿⠿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣀⡀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⣀⣀⠀⠀⠀⢐⣖⣶⣶⣶⣲⣶⣶⣶⣶⣶⣶⣶⣶⡆⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⠉⣉⣉⣉⣉⣛⣙⠉⣭⣉⡉⢹⡇⠀⠿⠭⠯⠮⠥⠉⠉⠉⠉⠉⠉⠉⠁⠉⠉⠉⠉⠈⠉⠉⠀⠀⠀⢐⣿⣿⣿⣟⠓⠛⠛⠛⠛⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⠀⣛⣛⣶⣾⣿⣿⣓⣶⣧⠼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⠀⣻⣿⣅⣘⣛⠛⠁⠛⠛⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣭⣽⣿⣿⣿⡟⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⢒⣒⣖⣒⣶⣖⣶⣶⣶⣖⡒⠒⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠛⠒⠛⠛⠓⠛⠓⠓⠒⠛⠒⠒⣿⢟⣿⣿⡿⣵⣮⡻⢿⣿⣿⣯⣭⣽⣉⣟⣭⣿⣍⣯⣽⣭⣿⣿⣿⣿⣿⣿⣿⣀⣠⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⢱⣶⣶⣾⣯⣿⣽⣾⣭⡿⣿⣿⣿⣿⣿⣿⣿⣿⠳⠿⠿⠿⣿⡿⣿⣷⠷⣿⠷⡄⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣤⣬⣭⣽⣿⣟⣻⣿⣿⣿⣛⠓⣿⣿⣿⣿⣿⣿⣿⣿⣿⡼⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣷⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⡅⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣷⣷⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠬⡿⠿⢿⠿⡿⠿⠿⠿⢿⠿⠟⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣯⣿⡟⣿⣿⣿⣿⣿⡧⣿⣿⣿⣿⣿⣿⣯⣿⣿⣟⣮⣭⣭⣯⣭⣭⣽⣭⣭⣭⣭⣭⣭⣭⣭⣽⣿⣭⣷⠭⠍⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠙⠛⠛⠛⠛⠋⠉⠉⠉⠉⠉⠀⠛⠛⠛⠛⡛⠛⠛⢛⠛⠓⠃⠚⠚⢓⠒⠒⣒⠚⠂⠚⢓⡒⠒⡒⠚⠛⠛⠛⠛⠤⠤⠤⠤⠤⠤⠤⠤⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠩⠯⠥⠤⠤⠬⠭⠭⠯⠥⠤⠤⠌⠉⠉⠉⠉⠀⠀⠀⠀⠨⠍⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠄⠤⠤⠤⠤⠠⠤⠥⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⠛⠋⠃⢛⠋⠛⠃⣮⣿⣥⠀⠀⠀⣓⣒⣒⣓⣒⣓⣒⣒⣒⣒⣒⣒⣒⣒⣓⣒⣒⣒⣚⣒⣚⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠀⠀⠀⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⢒⣒⣒⣀⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣴⣦⣶⣶⣴⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣯⣿⣿⣿⣿⣥⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣭⣽⣯⣿⣭⠉⠉⠉⠉⠉⠉⠉⠉⠉⠩⠭⠭⠭⠭⠭⠉⠭⠽⠯⠎⠦⠬⠍ ䷩ 𝚕𝚒𝚗𝚎 862 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/Free_and_Open_Source_Software_and_Review.1.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/Free_and_Open_Source_Software_and_Review.1.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Free and Open Source Software, and Review⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Rianne Schestowitz on Sep 16, 2025 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇SSH_keys_manager⦈_ * ⚓ SKM_-_simple_SSH_keys_manager_-_LinuxLinks⠀⇛ SKM is a simple and powerful SSH keys manager. It helps you to manage your multiple SSH keys easily. This is free and open source software. * ⚓ chwp_-_change_background_wallpaper_from_the_command_line_-_LinuxLinks⠀⇛ chwp is a tool which lets you change the background image from the command line. This is free and open source software. * ⚓ Key_Rack_-_view_and_edit_passwords_-_LinuxLinks⠀⇛ Key Rack allows you to view, create and edit secrets, such as passwords or tokens, stored by apps. It supports both Flatpak secrets and system-wide keyrings. This is free and open source software. * ⚓ Radxa_Cubie_A7A_Single_Board_Computer_Running_Linux:_Introduction_to the_Series_-_LinuxLinks⠀⇛ This is a new series looking at the Radxa Cubie A7A single board computer (SBC). It’s billed as an ultra-compact yet feature-rich SBC designed to deliver powerful performance in space-constrained environments. The SBC is powered by the Allwinner A733 SoC, featuring a hybrid octa-core CPU (dual-core Arm Cortex-A76 and hexa-core Arm Cortex-A55 up to 2.0GHz), integrated 3 TOPS NPU, and Imagination BXM-4-64 MC1 GPU, providing AI and multimedia processing capabilities. I’m evaluating the 6GB RAM model. ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠉⢁⣀⣀⣀⣀⡈⠉⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⢀⣤⡶⠟⠛⠉⠉⠉⠉⠛⠻⢶⣤⡀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠹⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠋⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠈⠛⢷⣤⣀⡀⠀⠀⠀⠀⢀⣀⣤⡾⠛⠁⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⣿⣿⣦⣄⡈⠙⠛⠛⠻⠟⠛⠛⠋⢁⣠⣴⣿⣿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣶⠀⢠⡄⠀⣶⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠹⣿⣿⠀⢸⡇⠀⣿⣿⠏⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⢰⣿⣿⣿⣧⠀⠀⠀⠀⠀⢹⣿⠀⢸⡇⠀⣿⡏⠀⠀⠀⠀⠀⣼⣿⣿⣿⡆⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠸⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⣀⣀⣼⣧⣀⣀⠀⠀⠀⠀⠀⠀⠻⣿⣿⡿⠇⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠻⣄⣀⡀⠀⢠⣀⣠⠆⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠘⠳⣄⣀⡄⠀⢀⣀⣠⠇⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⣀⠈⠁⠀⠈⠉⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⡀⠉⠁⠀⠈⠁⣀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 956 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/Free_and_Open_Source_Software_and_Review.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/Free_and_Open_Source_Software_and_Review.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Free and Open Source Software, and Review⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Rianne Schestowitz on Sep 16, 2025 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Haskell_source_code⦈_ * ⚓ Fourmolu_-_formatter_for_Haskell_source_code_-_LinuxLinks⠀⇛ Fourmolu is a formatter for Haskell source code. It is a fork of Ormolu, with upstream improvements continually merged. This is free and open source software. * ⚓ cylon_-_Arch_Linux_maintenance_program_-_LinuxLinks⠀⇛ cylon is a TUI (terminal user interface) which provides updates and maintains an Arch based Linux distribution. This program provides numerous tools to Arch Linux users. The program is menu-based and written in bash. It is mainly text based but also uses dialog GUI’s at a few points mainly for directory and file selection. It can also display desktop notifications. A detailed list of the dozens of options is provided below in features section. This is free and open source software. * ⚓ Synapse_-_Matrix_homeserver_-_LinuxLinks⠀⇛ Synapse is an open source Matrix homeserver implementation. It is recommended to place a reverse proxy such as nginx, Apache, Caddy, HAProxy or relayd in front of Synapse. One advantage of doing so is that it means that you can expose the default https port (443) to Matrix clients without needing to run Synapse with root privileges. Matrix is the open standard for secure and interoperable real- time communications * ⚓ socktop_-_remote_system_monitor_with_a_rich_TUI_-_LinuxLinks⠀⇛ socktop is a remote system monitor with a rich TUI, inspired by top/btop, that communicates with a lightweight remote agent over WebSockets. This is free and open source software. * ⚓ Minisforum_AI_X1_Pro:_ComfyUI_-_Generate_video,_images,_3D,_audio_with AI_-_LinuxLinks⠀⇛ This is a series of articles looking at the Minisforum AI X1 Pro running Linux. In this series, I examine every aspect of this Mini PC in detail from a Linux perspective. The Minisforum AI X1 Pro is a powerful mini PC based on an AMD Ryzen AI 9 HX 370 with integrated Radeon 890M graphics. This is no ordinary processor and no ordinary integrated GPU. The machine can handle extremely demanding tasks. With 64GB of RAM and 1TB NVMe this configuration retails for £929. Unlike many mini PCs, the AI X1 Pro has a very capable integrated GPU. I want to see what performance is like running machine learning software on the Radeon 890M. Let’s look at ComfyUI, open source node-based software for generative AI. ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⣠⣶⣿⡗⠀⠀⠀⢰⣿⡇⠀⠀⢿⣿⣦⡀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⡇⠀⠀⢠⣾⣿⠟⠁⠀⠀⠀⠀⣿⣿⠁⠀⠀⠀⠙⢿⣿⣦⡀⠀⠀⢸⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⡇⠀⠀⠈⠻⣿⣷⣄⠀⠀⠀⣸⣿⡏⠀⠀⠀⢀⣴⣿⡿⠟⠁⠀⠀⢸⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠈⠻⢿⠗⠀⠀⢿⡿⠁⠀⠀⠀⢿⠿⠋⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⡇⠀⠀⠒⠶⠶⠶⠶⠖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⡇⠀⠀⠰⠶⠶⠶⠶⠶⠶⠶⠆⠀⠰⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⡇⠀⠀⠠⠶⠶⠦⠀⠠⠴⠶⠶⠶⠶⠤⠀⠠⠦⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 1074 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/Games_Cattle_Country_Godot_4_5_and_GNOME_s_Tetris_Clone_Quadrap.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/Games_Cattle_Country_Godot_4_5_and_GNOME_s_Tetris_Clone_Quadrap.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Games: Cattle Country, Godot 4.5, and GNOME’s Tetris Clone Quadrapassel⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Sep 16, 2025 * ⚓ Boiling Steam ☛ Cattle_Country:_Life_on_the_Frontier⠀⇛ Developed by Castle Pixel, known for their charming pixel art, and narrated by none other than Roger Clark (yes, that Arthur Morgan from Red Dead Redemption 2!), Cattle Country is another farming‑and‑exploration title that tries to stand out in a crowded genre. If you’re familiar with Stardew Valley - the game that has inspired countless imitators - you’ll recognize many of the same comforts, but this time the setting is unmistakably the Wild West. Cute details like birds wheeling overhead and smoke drifting from chimneys give the world a lively feel, while the pixel art remains gorgeous. Where Stardew Valley boasts a massive feature set built up over years, its visuals can sometimes feel bland; Cattle Country leans into style first, delivering a fresh look that immediately catches the eye. * ⚓ Godot Engine ☛ Godot 4.5,_making_dreams_accessible⠀⇛ From mind-blowing effects now made possible by the stencil buffer to accessibilty descriptions of your GUI elements that opens up the possibility for some with disabilities to play your game — we are proud to present to you Godot 4.5. * ⚓ OMG Ubuntu ☛ GNOME’s_Tetris_Clone_Quadrapassel_Drops_a_Huge_Update⠀⇛ Quadrapassel 49 modernises GNOME’s Tetris clone on GNU/Linux with GTK4, adds touch support, and improves scoring and gameplay for casual gamers. ䷩ 𝚕𝚒𝚗𝚎 1127 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/Games_Super_Mario_Bros_Remastered_Slay_the_Spire_2_and_More.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/Games_Super_Mario_Bros_Remastered_Slay_the_Spire_2_and_More.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Games: Super Mario Bros Remastered, Slay the Spire 2, and More⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Sep 16, 2025 * ⚓ GamingOnLinux ☛ Super_Mario_Bros_Remastered_open_source_fan_project brings_an_impressive_remake_to_PC⠀⇛ Nintendo likely won't be happy about this one, so get it while it's hot, Super Mario Bros Remastered is out now and open source. It doesn't actually include the original assets from the classic Nintendo games, so you need to supply that yourself with a ROM. That might keep it out of reach for Nintendo lawyers, but probably not. * ⚓ GamingOnLinux ☛ S.T.A.L.K.E.R.:_Legends_of_the_Zone_Trilogy_gets_a_big upgrade_and_Steam_Deck_improvements⠀⇛ GSC Game World continue improving the recent S.T.A.L.K.E.R.: Legends of the Zone Trilogy release, with version 1.3 out for all three titles. The pack includes S.T.A.L.K.E.R.: Call of Prypiat - Enhanced Edition, S.T.A.L.K.E.R.: Clear Sky - Enhanced Edition and S.T.A.L.K.E.R.: Shadow of Chornobyl - Enhanced Edition. * ⚓ GamingOnLinux ☛ Mate'Morphosis_is_an_upcoming_chess-inspired_puzzle game_about_becoming_the_piece_you_capture⠀⇛ What have they done to chess? Mate'Morphosis warps it into a puzzle game where you become the piece you capture where you constantly have to adapt. * ⚓ GamingOnLinux ☛ Slay_the_Spire_2_delayed_and_now_arrives_March_2026_- nothing_to_do_with_Silksong⠀⇛ Slay the Spire 2 was originally due in Early Access this year, but the developers have announced it's moving into March 2026. Made with Godot and with plans for full Linux support, I'm excited and I do hope the extra time will allow them to make the best of it. The original was simply amazing! * ⚓ GamingOnLinux ☛ Valve_fixes_Baldur's_Gate_3_issue_on_Steam_Deck_/ SteamOS⠀⇛ Baldur's Gate 3 players on Steam Deck and SteamOS may have noticed recently it appeared like it uninstalled itself, here's what's going on. * ⚓ GamingOnLinux ☛ AMDVLK_has_been_discontinued_as_AMD_are_throwing_their "full_support"_behind_RADV⠀⇛ AMD have announced the end of AMDVLK, their official open- source Vulkan driver and will instead now be focusing on the much more popular RADV. * ⚓ GamingOnLinux ☛ The_cute_co-op_game_LEGO_Voyagers_has_released_and_it's Steam_Deck_Verified⠀⇛ LEGO Voyagers is the cutest looking co-op game and it's available today, along with it getting Steam Deck Verified for the release. So it will work great on other Linux / SteamOS systems too. Created by Light Brick Studio, who also made LEGO Builder's Journey. * ⚓ GamingOnLinux ☛ Car_combat_game_FUMES_improves_support_for_controllers and_Steam_Deck⠀⇛ FUMES really is awesome and it has an Overwhelmingly Positive rating on Steam which it gained quickly after release, and the developer keeps improving it. * ⚓ GamingOnLinux ☛ Love_a_challenge?_Check_out_the_Humbling_Soulslike Bundle_of_games⠀⇛ Humble Bundle have another great selection of games if you love a challenge in the Humbling Soulslike Bundle. And of course the usual GamingOnLinux run over the compatibility on Desktop Linux, Steam Deck / SteamOS to save you clicking around. * ⚓ GamingOnLinux ☛ DRAGON_BALL_GEKISHIN_SQUADRA_works_great_on_Linux_PCs and_Steam_Deck⠀⇛ Bandai Namco Entertainment released DRAGON BALL GEKISHIN SQUADRA, a free to play MOBA set in the Dragon Ball universe and it works well on Linux / Steam Deck. ䷩ 𝚕𝚒𝚗𝚎 1245 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/GNOME_GTK_Report_From_Christian_Hergert_and_Gedit_News.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/GNOME_GTK_Report_From_Christian_Hergert_and_Gedit_News.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ GNOME/GTK Report From Christian Hergert and Gedit News⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Sep 16, 2025 * ⚓ GNOME ☛ Christian_Hergert:_Status_Week_37⠀⇛ § VTE Little back-and-forth on what we can do to improve a11y further with VTE. Prototype’d a way to extract hyperlinks and provide them into AccessibleText, however that is not the right place. We really need an implementation of the at-spi hyperlink API in GTK so that VteTerminal may implement it. Merged a number of a11y fixes provided by Lukáš Tyrychtr which fix some of my original a11y implementation to follow the at- spi expectations better. Also added one of my own to fix a potential uint underrun when describing runs thanks to long to uint conversion. * ⚓ Gedit_Technology_blog:_Mid-September_News⠀⇛ text editor, mid-September edition! (Some sections are a bit technical). ䷩ 𝚕𝚒𝚗𝚎 1293 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/Graphics_Fixes_for_Xorg_Wizard_and_radv_takes_over_from_AMDVLK.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/Graphics_Fixes_for_Xorg_Wizard_and_radv_takes_over_from_AMDVLK.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Graphics: Fixes for Xorg Wizard and radv takes over from AMDVLK⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Sep 16, 2025 * ⚓ Barry Kauler ☛ Fixes_for_Xorg_Wizard⠀⇛ Testing EasyOS 7.0.11 prior to release, on my Acer Aspire2 laptop it is required to run the Xorg Wizard, as Xorg doesn't automatically choose the 'amdgpu' driver. That has been fine, until now. * ⚓ Dave Airlie ☛ Dave_Airlie:_radv_takes_over_from_AMDVLK⠀⇛ AMD have announced the end of the AMDVLK open driver in favour of focusing on radv for GNU/Linux use cases. ䷩ 𝚕𝚒𝚗𝚎 1329 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/Half_of_September_is_Gone_Already.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/Half_of_September_is_Gone_Already.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Half of September is Gone Already⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Sep 16, 2025, updated Sep 16, 2025 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Mom_and_child_in_park_in_autumn⦈_ Our 'baby Tux' is turning 22 next summer We're back_to_normal_next_week, escaping a hot and humid weather*. We've kept our promise to keep the site active, mostly on top of the important news. It's hard to believe we're soon reaching 2026. How time flies! COVID-19 started in late 2019. In 2022 we dumped Drupal. In 2023 we moved to UK hosting. In 2024 we fought back against Microsofters, who had attempted to censor us [1, 2, 3]. Now we're having a nice holiday; Rianne says it's her best holiday in 20 years. Something is going_on_in_KDE that we don't quite like. Since we both use KDE we are watching this closely. We still hope that Jonathan Riddell, who is a great person according to Mark Shuttleworth, will make a comeback. █ _____ * Last day is very hot: 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇A hot weather⦈ ⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣷⣤⡀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⠿⠿⠛⠋⢩⣿⡄⠀⠀⠸⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠙⢿ ⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠉⠉⠁⠀⠀⢀⡄⠀⠀⠀⠄⣀⣤⡀⠀⠀⠀⠀⠙⠋⠉⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⡀⠉⠛⠁⠀⠀⠘ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣷⣄⣀⣀⣸⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣦⣶⣶⣶⣶ ⣿⡟⠅⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⣀⠀⢀⣀⢀⣼⣿⣿⣿⣟⠛⠿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⡿⠋⠠⣿⡿⠿⣿⣿⣇⠀⠀⠹⡟⠀⠀⠀⠀⠀⢀⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⣛⡏⢁⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠶⠾⠋⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠴⢿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⠀⠀⢀⣲⡿⠁⠀⠀⠀⠀⠀⣀⣀⠀⢀⣿⣿⡇⠀⠀⠈⣿⣿⣿⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⢠⣿⣿⣿⡿⣿⣿⣿⣿⣶⣼⣿⣿⣿⣏⣀⣈⣛⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠘⣿⣿⣿⣿⣿⣿⠛⠙⢿⣿⣿⣯⣁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣵⣷⣼⣭⣿⣹⣿⣿⣿⣿⣿⡗⡋⣿⣿⣿⡿⠿⠟⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠚⠛⠛⠉⢀⣽⣿⣷⣄⣬⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡄⠀⠀⠀⣀⣤⣶⣤⣀⠘⣿⣿⣿⣧⣭⣍⣉⡉⢛⣺⣿⣿⣟⣹⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⡀⠁⢀⣠⡈⠁⠀⠀⠀⣀⣴⣤⠀⢿⣿⣿⣿⣿⣿⡿⠿⣿⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⠹⣹⣽⣿⣷⣶⣾⣿⣿⣿⣿⣿⣷⣬⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⢸⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣠⣶⣿⣿⣿⣧⡿⠿⠃⠀⠀⣠⣾⣿⣿⣿⣷⣾⣿⣿⣿⣷⣶⣤⣶⣿⢃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⢿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠇⠀⠀⠀⣾⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⠋⢻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣛⣽⣿⣿⣿⣿⣿⣇⠀⣴⣿⣷⣶⣿⣿⣿⠟⠿⢿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣤⣀⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠁⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⣿⣿⣿⣿⣿⡿⡿⠟⠹⠧⠀⠀⠀⠀⠈⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠑⠿⣻⣿⣿⣿⣿⠟⣛⣴⣿⣿⣿⣿⣿⣿⡋⣠⠀⠀⠀⣠⡄⠀⠀⠀⠸⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠻⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢉⣴⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⡯⢹⡿⡿⠞⠉⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠻⣿⣿⣿⣿⣿⣿⣟⣀⣤⣽⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢁⣾⣿⣿⣷⣶⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⣿⣿⣿⣿⣿⣿⡿⠋⣱⣿⣦⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⢿⣿⣿⣿⡿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣇⣽⣶⣿⣿⣬⣄⣆⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⡿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇ ⠀⠀⢸⡏⡛⠋⢛⣻⣿⣿⣿⣿⣿⣿⣟⣉⣛⣹⣏⣉⣻⣿⣿⣿⣿⣿⣿⣿⣏⣉⣯⣿⣿⣿⣿⣿⣿⡿⠛⢱⣶⡌⠻⢿⣿⣿⣿⣿⣃⣇⣷⣾⣿⣿⣿⣦⣬⣿⣤⣴⣽⣿⣧⣴⣾⣷⣽⣿⣷⣽⣥⣴⣾⣿⣥⣿⣿⣿ ⠀⠀⢸⣿⡿⠿⣿⣿⣿⣿⠿⠿⢿⣿⣿⡿⡛⢿⣿⣿⣿⡛⠛⣻⣿⣿⡿⡛⢿⣿⣿⣿⡛⠛⣛⣿⣿⣇⣛⣛⣛⣓⣛⣼⣿⣿⣿⣿⢍⢍⣏⣽⣿⣿⣿⡏⣩⣿⣟⣸⣭⣏⣉⣏⣍⣝⣍⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢸⡏⢤⢷⠌⣿⣿⣿⡬⠴⢿⣿⣇⣲⢻⣒⣿⣿⣿⡖⡚⢻⣿⣇⣒⢻⣒⣽⣿⣿⡖⡗⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢸⣿⣿⣼⣿⣿⣿⣿⣥⣥⣾⣿⣿⣿⣾⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⣀⣘⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣋⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟ ䷩ 𝚕𝚒𝚗𝚎 1412 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/Installing_Ubuntu_Questing_Quokka_Beta.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/Installing_Ubuntu_Questing_Quokka_Beta.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Installing Ubuntu Questing Quokka Beta⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Sep 16, 2025 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Questing_Quokka_Beta⦈_ The next release of Ubuntu Linux, 25.10 Questing Quokka, will be available on Sept. 18 in a Beta test version. In the meantime you can install the latest daily build, and you can carry on with daily builds until the full release on October 9. As a former long-time Silicon Valley Senior Tech Writer and Free Software lead, I am providing commentary on Ubuntu’s recommended installation process below. [...] If you are thinking of switching to Linux, I don’t recommend starting with a test build. The current Ubuntu 25.04 Plucky Puffin is fine, and comes with a convenient upgrade tool that will notify you when the next release is ready, and automate the entire process. Read_on ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠰⣿⡇⠀⠀⠸⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⡿⠀⠀⢀⠔ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⢸⡿⠋⠉⠛⠿⠁⠀⠀⢾⣷⣤⣤⣬⣀⠀⠀⠀⠈⠀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠈⠛⠀ ⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠋⠉⠙⠿⠂⠀⠀⢀⠀⠀⢻⡟⠉⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠛⠻⣷⠀⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣤⠀⠉⠁⠀⠀⠁⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⢀⣦⠀⣠⣤⠄⢰⣿⡷⠶⣤⣤⠀⠈⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⢈⡙⠻⣿⣿⣿⣿⣿⣦⣀⡈⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠀⠀⠛⠋⠀⠙⠿⢿⣿⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⡿⣿⣿⣿⣆⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠃⠀⠀⠙⣿⣿⣿⣿⣷⣀⠀⡀⣀⣀⡀⢤⣤⣴⣶⣶⣶⣶⣶⡦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣧⡀⠀⢸⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠉⠉⠛⠻⢿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣹⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⢀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⣰⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠘⢻⣿⡟⠀⠀⠀⠀⠀⠀⠀⢠⡶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⢮⣿⣿⣿⣿⣿⣿⣿⣿⡿⠹⠟⠻⣿⣿⣿⣿⣿⣷⣴⡛⠋⠛⠁⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠰⠆⢸⣿⣿⣿⣿⣿⣿⣥⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣛⣁⣀⠀⢀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⢧⣄⡙⣿⣿⣿⣿⣿⣶⣤⣴⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⣿⣿⣇⠈⠋⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠉⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢁⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠐⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣷⡆⠀⠘⠛⠃⠀⠀⠀⠀⢀⣄⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⡀⢰⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⠀⠀⢰⣿⠏⠿⣿⣿⣿⣿⣿⣿⣟⠀⣼⣿⣷⣀⣀⣀⣩⣿⣶⣶⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣀⡀⢀⡀⠸⡿⠇⠀⠈⠁⠘⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡷⢿⣦⠀⠀⠀⢀⣄⠀⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠙⠋⠁⠀⠁⠀⠀⠀⠈⠉⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠟⠁⠀⠀⠀⠀⠀⠀⠀⢰ ⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸ ⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⠿⠏⢩⣹⣭⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⢧⠀⠀⠈⠋⠈⢙⣿⣿⣿⠘⣿⣿⣿⣀⣄⣈⡉⠻⠻⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡃⠀⠀⢸⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣷⢆⡀⣨⣽⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣿⣿⣿⣿⣿⣧⣼⣿⣥⣤⣸⣄⣽⣿⣿⣿⣿⣿⣿⣿⣏⣉⣹⣿⣄⣽⣷⣾⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢠⣶⣶⣶⣦⣤⣀⠀⠀⠀⠀⠀⢀⣴⣆⡀⠀⠀⠺⢿⣿⣦⣤⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⢰⣿⡏⠀⣨⣿⣿⣿⣿⣆⣀⣀⣀⣼⣿⣿⣷⣄⡀⠀⠀⣁⠈⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠘⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⢻⣷⣤⡟⠀⠀⠀⠠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⢀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣀⣠⣽⣿⣇⣀⣄⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⣸⣿⡟⠂⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⣸⣿⣿⣿⣿⣿⡿⠛⠳⡶ ⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⣿⣿⣠⣾⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⣴⣿⣿⣷⣿⠻⣭⣍⣻⣿⣿⡀⠤⢸⣿⣿⣿⣇⢻⣿⣿⠿⣿⣿⡆⠀⠀⣀ ⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⢰⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣿⣿⣿⣿⡏⠀⠈⣩⢿⣿⣿⣿⣶⣼⣿⣿⣿⣿⣿⡿⠃⠀⣸⣟⣁⢀⣴⠿ ⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⢾⣷⠾⠏⠉⣉⡛⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⢠⠿⠿⠛⠿⢧⠤ ⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣿⣿⣷⣤⣠⣿⣿⣄⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠉⠻⢿⣿⢿⣿⡿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡹⠟⢿⡇⠈⢿⣿⣿⣿⣿⡿⢿⣿⣿⡟⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡙⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⡈⣧⠀⠀⠙⠋⠁⢠⡄⠙⣿⠟⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⢿⠋⠉⠛⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀ ⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⢀⣿⡇⠀⠀⠀⠀⣠⣿⣼⣿⣿⣿⣿⣿⣿⣿⠛⠀⠀⠀⠀⠀⠀⢀⣤⡄⠶⣀⣾⣿⣀⠐⣈⣯⣤⣤⣶⣙⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀ ⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡉⡟⡏⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣴⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠒⠻⠟⠁⠖⢻⣯⢭⠉⠌⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀ ⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠉⣶⠟⡗⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠈⠁⠈⠁⡄⠈⠃⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠻⠏⣼⣇⣇⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⣶⡄⢸⡇⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢇⠀⡀⠈⢻⠛⢉⣤⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣾⡟⠀⠀⠀⣠⣆⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣾⣶⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⢻⣿⣧⠀⠀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡇⠀⠚⠀⢻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠋⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠘⠈⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣏⣹⣿⣿⣿⣿⡟⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⣰⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣀⣀⣄⣴⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣽⣿⣿⣿⡇⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⡇⣀⠀⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⢀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⢰⣿⣿⣿⣿⣷⢸⣾⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣺⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⣴⣤⣀⣉⣹⣿⣿⣿⣿⣿⣿⣿⡟⠫⠈⣿⠽⣶⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⣿⣧⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠈⠹⣇⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠈⠀⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⣁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⢰⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⢠⣿⣾⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠸⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠘⢻⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠻⡇⠀⠀⠀⠀⠀⠀⠉⠛⠿⢿⣿⣿⣿⣿⣿⣿⠿⠋⠀⢀⣠⢿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⠛⠀⠀⠀⠀⠀⣶⣾⣿⣿⣿⡿⠿⣿⣿⣿⣿⣤⣤⣄⣀⣀⠀⠀⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠄⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣶⣾⣿⣿⣿⣿⣿⣧⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⢰⣦⠙⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⠙⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣤⣀⡀⠀⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣀⢹⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣶⣦⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⣿⣿⣿⣿⡿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾⣿⡋⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣶⣾⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 1519 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/I_tried_using_Linux_s_AntiX_OS_on_my_super_old_laptop_and_it_wo.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/I_tried_using_Linux_s_AntiX_OS_on_my_super_old_laptop_and_it_wo.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ I tried using Linux's AntiX OS on my super old laptop and it works like a charm⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Rianne Schestowitz on Sep 16, 2025 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇AntiX⦈_ Quoting: I tried using Linux's AntiX OS on my super old laptop and it works like a charm — My old Lenovo laptop no longer supports Windows. The last OS that worked on it was Windows 7, and after that, every app, including modern browsers, stopped working due to the operating system being unsupported. The obvious choice was to install an operating system that runs without hiccups, given the laptop's 2-core second-gen Intel i3 processor and 4GB DDR3 memory. I previously tried the Raspberry Pi Desktop OS, but it had a few flaws. It lacked a 64-bit version and was based on Debian 11, with no chance of future upgrades. I found solace in antiX, a Linux distro specifically for old machines with a complete essential app suite and multiple ISO options. It was fairly simple to set up, and the laptop didn't struggle with it at all. Let's discuss how this distro hopping turned out for me and why antiX should be your next pick for reviving old laptops and workstations. Read_on ⣾⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⡦⠶⠰⠶⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡦⠠ ⢀⡉⣅⠉⠰⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣆⠢⣲⢦⣶⣦⣶⣶⣤⣦⣴⣦⣦⣴⣤⣦⣤⣤⣶⣶⣶⣶⣶⣶⣒⡶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣶⣦ ⣼⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣣⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠈⢙⡋⠉⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢣⣿⡛⢿⡻⢛⠿⠿⣿⠿⠿⠿⢿⢿⠿⠿⠿⣿⣿⠿⠿⠿⣿⣿⢿⠿⣟⣷⡾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣭⣭⣀⣀⣀⡤⠤⣀⣀⣀⣾⢸⠚⠛⠉⣉⣉⣉⣉⣉⣉⣉⠠⡌⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠘⠛⠛⠛⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠠⠈⠘⠉⠀⠐⣼⣿⣧⠘⠃⠀⠀⡟⠀⡜⠀⠀⠀⣿⣿⣄⢻⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢠⣿⣿⡶⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⡇⠐⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⣿⣿⠇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⢠⢀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠿⣇⣀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⣤⣤⡄⢐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣄⡀⠀⠀⠀⣄⡈⢥⣤⣄⠀⣠⣴⣤⣄⠀⣀⣀⠀⣀⡀⣠⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⡗⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⢥⡭⡒⡕⣿⣿⣯⢚⢩⡅⣪⣸⣿⣿⣮⣎⡾⢶⣪⣿⣿⡗⣣⣷⣷⣷⣾⣧⣗⣧⣫⣿⣮⣾⣶⣮⣾⣿⣿⣷⣻⣿⣞⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠈⠉⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠷⣿⣿⢜⠜⣿⣿⡷⣃⣿⣿⣯⢺⣿⣿⡗⣞⣿⣿⡿⣿⣿⡯⣿⣿⣿⣿⣿⣿⣟⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣩⣿⣿⣿⣣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣾⣷⣷⣁⣿⣿⣏⣾⣾⣷⣷⣽⣿⣿⡸⣶⣿⣯⣼⣿⣿⡏⣽⣿⣿⣿⣿⣿⣯⡃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣿⣿⣯⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠈⠉⠉⠁⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢵⠳⣻⡥⢃⣿⣿⣟⣳⡩⢯⡺⣺⣿⣿⡞⢵⣯⣷⡳⣿⣿⣷⢏⣛⣿⡿⣿⣫⢗⡟⣞⡟⣿⡿⣟⣋⢺⣿⣿⢯⢳⢗⣦⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢰⣿⣿⡆⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⠽⣽⣿⣿⣿⣿⣷⠶⣭⣵⢽⣿⣿⣿⡻⣿⣟⣾⢞⣿⣿⣿⣿⣿⣶⣽⣾⣿⣿⣿⣿⡟⠶⠽⠭⡲⢹⣿⣿⢪⣠⣭⣥⡐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⡿⢿⠇⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡫⣾⣿⡩⢯⣿⣿⡷⠌⣿⣿⣿⢝⣿⣿⣿⣟⣿⣿⣿⣿⣿⡿⣛⣺⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⡇⢇⢿⣿⣿⡛⣿⣿⣿⡅⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣵⣾⡶⣑⣿⣿⡇⣷⣿⣿⣽⢺⣿⣿⣫⣾⣿⣯⣾⣿⣿⣿⢑⣶⣿⣿⣯⡜⢻⠛⡟⣷⣾⣿⣮⡵⣾⣿⣿⢾⣿⣿⣯⡮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣓⣝⣩⣹⣳⣿⣿⣯⣶⣪⣉⣥⢺⣿⣿⣺⣩⣉⢐⢣⣿⣿⣿⣜⣴⣷⣻⣶⣯⣗⣦⣻⣜⣪⣪⣮⣑⣺⣿⣿⣫⣩⣪⣪⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠯⢽⣿⣿⣿⣿⡟⢻⣿⡛⣢⣿⣿⣿⣿⣿⣗⣛⢮⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⡿⠿⠿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⣿ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⢽⣿⣿⣿⣏⡋⣿⣿⠗⣻⣿⣿⣼⣿⣿⣿⢟⣿⣿⣿⣾⡇⣿⣿⡇⣷⣿⣿⣿⣇⣿⣿⡇⡎⣺⣿⣿⡯⢿⣿⢿⣸⣿⣿⣷⢾⣿⣻⣿⢾⣿⣿⡿⣗⣽ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⢽⣽⣾⢽⣵⣿⡧⣾⣾⣷⣷⣾⣿⣿⣿⡿⣿⣿⣿⣿⣿⡿⣘⡷⣿⣿⣵⡗⠻⡯⡯⡷⣮⣷⣬⡞⢸⣿⣿⣿⣽⣿⣧⣿⣿⣿⣿⣾⣿⣿⣿⣶⣶⣷⣿⣾⣾ ䷩ 𝚕𝚒𝚗𝚎 1584 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/Linux_Mint_picks_up_the_pace_with_LMDE_7_and_Wayland_ready_Cinn.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/Linux_Mint_picks_up_the_pace_with_LMDE_7_and_Wayland_ready_Cinn.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Linux Mint picks up the pace with LMDE 7 and Wayland-ready Cinnamon⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Rianne Schestowitz on Sep 16, 2025 Quoting: Linux Mint's ambitious Q4: Two releases, better Wayland — The Linux Mint team plans to speed up its release cycle and get two more versions out in the next few months. The latest Linux Mint Monthly News blog drafts the project's plans for the final quarter of 2025. At least in terms of timing, the timeline is somewhat bold – especially considering that the blog is titled "August 2025" and it was published on September 12. Read_on ䷩ 𝚕𝚒𝚗𝚎 1617 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/Mobile_Progress_Report_From_Thunderbird_and_Mozilla_Tells_Users.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/Mobile_Progress_Report_From_Thunderbird_and_Mozilla_Tells_Users.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Mobile Progress Report From Thunderbird and Mozilla Tells Users to Trash 'Old' Computers⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Sep 16, 2025 * ⚓ Thunderbird ☛ Mozilla_Thunderbird:_Mobile_Progress_Report_–_July/August 2025⠀⇛ Hello wonderful community, it has been a while since the last Mobile_update. A lot has happened in the past 2 months, so let’s jump right into a quick overview of current work in progress and primary efforts. § Account Drawer in progress If you’re rocking the Beta version of Thunderbird for Android, you might have noticed that all your unified folders have disappeared! Don’t panic, that’s just temporary. We’re still churning through the technical debt and the database inconsistencies in order to create through virtual unified folders for all your accounts. * ⚓ Mozilla ☛ Mozilla_Future_Releases_Blog:_Raising_the_Minimum_Android Version_for_Firefox [Ed: Once_again_Mozilla_is_attacking_the environment]⠀⇛ Mozilla has always aimed to make Firefox available to as many people as possible, including those on older Android devices. For years, we’ve supported versions of Android going all the way back to 5 (Lollipop), which first launched in 2014. That broad support has helped extend the life of many devices. However, the Android ecosystem is constantly evolving and it has become increasingly difficult for us to find ways to maintain and develop apps on these long-unsupported platforms while also allowing Firefox to take advantage of more modern devices and Android operating systems. > ䷩ 𝚕𝚒𝚗𝚎 1680 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/Monty_Widenius_heartbroken_over_Oracle_s_MySQL_job_cuts.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/Monty_Widenius_heartbroken_over_Oracle_s_MySQL_job_cuts.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Monty Widenius 'heartbroken' over Oracle's MySQL job cuts⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Sep 16, 2025 Around 70 members of the team behind the open source database have been shown the door as part of Oracle's latest round of redundancies, according to one high-level source in the MySQL community. The Register has asked Oracle to respond and clarify its position and we'll update this article if we hear back. Michael "Monty" Widenius, who co-authored the original MySQL in the 1990s, posted that he was "Heartbroken to hear about the widespread layoffs at MySQL last week, and while I'm not surprised that Oracle is going in this direction with MySQL, it still saddens me that it's come to this." Read_on ䷩ 𝚕𝚒𝚗𝚎 1715 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/Openwashing_Microsoft_OSI_Having_a_Crisis_Fake_Open_Source_Slop.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/Openwashing_Microsoft_OSI_Having_a_Crisis_Fake_Open_Source_Slop.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Openwashing: Microsoft OSI Having a Crisis, Fake "Open Source" Slop (Not "AI") Criticised⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Sep 16, 2025 * ⚓ Open Source Initiative ☛ Keep_changing:_How_Open_Source_has_to continually_evolve [Ed: End_of_an_era]⠀⇛ Wrapping up 4-year term as OSI executive director. * ⚓ Open Source Initiative ☛ OSI_charts_next_phase_for_the_organization with_executive_director_search [Ed: The_interim_head_is_a_slop_booster]⠀⇛ The Open Source Initiative (OSI) will begin searching for a new executive director as Stefano Maffulli departs in October to focus on Open Source Hey Hi (AI) and data governance. * ⚓ Rethinking_the_AI_Race⠀⇛ But the story of Linux is quite different from Meta’s “open- source” AI project, Llama. First and foremost, no universally accepted definition of open-source AI exists. Second, Linux had no “Big Tech” corporation behind it. Its success was made possible by the free software movement, led by American activist and programmer Richard Stallman, who created the GNU General Public License (GPL) to ensure software freedom. The GPL allowed for the free distribution and collaborative development of essential software, most notably the Linux open source operating system, developed by Finnish programmer Linus Torvalds. Linux has become the foundation for numerous open- source operating systems, developed by a global community that has fostered a culture of openness, decentralization, and user control. Llama is not distributed under a GPL. Under the Llama 4 licensing agreement, entities with more than 700 million monthly active users in the preceding calendar month must obtain a license from Meta, “which Meta may grant to you in its sole discretion” before using the model. Moreover, algorithms powering large AI models rely on vast amounts of data to function effectively. Meta, however, does not make its training data publicly available. Thus, can we really call it open source? ䷩ 𝚕𝚒𝚗𝚎 1780 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/Our_Reach_Grows.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/Our_Reach_Grows.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Our Reach Grows⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Sep 16, 2025, updated Sep 16, 2025 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇TM: It's over 2,000⦈ Lately we've seen an increase in traffic here and_in_the_sister_site (and respective_capsules). We assume it's because some stories "struck a nerve". Here, in Tux Machines, this page about_Kubernetes_was_accessed_almost_4,000 times. The page about KDE Linux ("Project_Banana") was accessed over 2,000 times and the same goes for the_Linux_Mint_news. We seem to have attracted new readers and we assume that more and more people are adopting GNU/Linux. █ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣄⠀⠀⠀⠀⢀⣴⣾⣿⢿⢿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⣿⣿⡇⠀⠀⠀⠀⠿⠆⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⢿⣿⡇⠀⠀⣴⣶⣿⣿⠀⠀⠀⠰⣿⣿⣿⡇⠀⢀⣾⣿⣿⣿⣷⣷⣶⣼⣼⣿⣿⢗⡄⠀⢰⣿⣿⠀⠀⠀⣾⣿⣿⣿⡇⠀⠀⢸⣿⣿⣷⠀⠀⠀⠀⠀ ⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠈⠁⠀⠀⠀⠀⠈⠛⠛⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠉⠁⠀⠀⠀⠻⠿⠿⠛⠁⠀⠀⠘⢿⣿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⣠⣶⣶⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣀⣀⠀⠀⠀⠀⢀⣤⡀⠀⠀⠀⣠⣿⣿⣦⡀⠀⠀⠀⣀ ⠀⠀⠘⠿⠿⠀⠀⠀⠀⠀⠿⠟⠀⠀⠀⠀⠘⠿⠃⠀⠀⠀⠀⠻⠿⠇⠀⠀⠀⠀⢿⡿⠀⠀⠀⠀⣿⣿⣿⡇⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠙⠀⢸⣿⣿⡇⠀⠀⠀⣿⣿⡿⠀⠀⠐⣿⣿⣿⣿⡇⠀⠀⢾⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡆⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠘⠻⠿⠛⠁⠀⠀⠈⠛ ⠀⠀⢠⣶⣶⡀⠀⠀⠀⠀⣾⣿⡧⠀⠀⠀⢀⣤⣄⠀⠀⠀⠀⣤⣴⣄⠀⢰⣿⣿⣿⣿⣶⠀⠀⠀⢀⣤⣤⡈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⣴⣾⣶⣤⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⣠⣶ ⠀⠀⠸⠿⡿⠃⠀⠀⠀⠀⠛⠛⠁⠀⠀⠀⠘⠿⠛⠀⠀⠀⠀⢿⣿⡟⠀⠈⠻⢿⣿⣿⣿⠀⠀⠀⠸⣿⣿⠃⠀⢹⣿⣿⣿⠟⣻⣿⢿⣿⣿⣿⣿⠋⠁⠀⠀⠛⠃⠀⠀⠀⠹⣿⣿⣿⠃⠀⠀⠀⠸⠿⠀⠀⠀⠀⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙ ⠀⠀⢠⣶⣶⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⢰⣶⣶⡀⠀⠀⠀⣴⣶⣦⠀⠀⠀⣠⣴⣶⣶⣤⣀⠀⣾⣿⣿⣦⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⢋⠀⣿⡄⠀⠀⠀⣀⣀⠀⠀⠀⠀⢠⣤⣄⠀⠀⠀⠀⣠⣤⡀⠀⠀⠀⠀⣤ ⠀⠀⠈⠛⠛⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠘⠻⠛⠀⠀⠀⠀⠻⠿⠏⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠦⢠⣿⣿⣦⡀⠀⠛⠋⠀⠀⠀⢀⣾⣿⡏⠀⠀⠀⠀⠻⣿⠟⠀⠀⠀⠀⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⣰⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣴⣶⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⢰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣻⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣠⣦⡄⠀⠀⠀⠀⣀ ⠀⠀⠀⠈⠉⠀⠀⠀⠀⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠟⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠻⣿⣿⣿⠟⠁⣰⣿⠟⠁⠀⠀⠸⠟⠋⠉⠉⠻⠀⠀⠀⠀⠹⠿⠃⠀⠀⠀⠀⠛ ⠀⠀⢀⣄⣤⡀⠀⠀⠀⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢃⣷⣶⣿⠟⠁⠀⣾⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢼⣿⣿⣿⡗⠀⣾⣿⣿⣿⣿⠤⠤⠄⡆⢠⠀⢠⢠⠀⠠⠀⠀⢀⢀⠄⠀⠀⠀⡄⠀⠀⡠⢰⣿⣿⣿⣿⣿⣿⣿⣿⠿⠥⠘⣿⠟⡅⡄⢠⢸⠋⡄⡄⢠⠠⠀⠀⢰⠀⡤⠤⠤⢠⣿⣿⣶⣶⣶⣶⣶⣶⣶⣤⣤⣤ ⠀⠀⠈⠛⠛⠋⠀⠀⢿⣿⣿⣿⣿⣇⡇⡇⠀⠸⠀⢸⢸⠀⠀⠀⡐⠡⠁⠀⠀⠀⠀⡇⠀⡰⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠀⠐⠀⡧⠥⠼⢸⠀⡇⡇⢸⠁⠀⠀⢸⠀⡇⠥⠄⡄⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⣀⣀⡀⠀⠀⠀⢿⣿⠟⠛⠋⡇⡇⠀⠸⠀⠜⡸⠀⠀⢊⠄⠀⠀⠀⢀⡀⠀⠇⡇⢴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠄⠠⢂⠌⠀⠇⡏⠹⢸⠀⠇⡇⠸⢸⠀⠐⢸⠀⠇⠉⠩⢥⢼⢿⠿⢿⢟⢿⣿⣿⣿⣿⣿⣿ ⠀⠛⠻⠿⠛⠻⠃⠛⣻⣿⣿⣧⣶⣤⢉⠁⠀⠀⠈⠉⠀⠈⠉⠁⠀⠀⠉⠁⣼⣿⣄⣉⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠉⠉⠀⠀⠀⠉⠁⠈⠉⠀⠉⠁⠉⠉⠀⠀⠉⠀⠉⠁⠉⠉⠀⠀⠉⣵⣮⣴⣺⣿⣭⣽⣍⣍ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⣀⣤⣤⡀⠀⠀⠀⣀⣴⣿⡿⢿⢿⣿⣷⣦⣄⠀⠀⠀⠀⡀⠀⠀⠀⠀⢀⣠⣤⣄⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⢾⣿⣿⠇⠀⠀⠀⠀⠚⠂⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⢿⣿⠇⠀⠀⣶⣶⣿⣿⠀⠀⠀⠀⣿⣿⣿⡇⠀⢠⣿⣿⣿⣿⣶⣷⣶⣦⣘⣿⣿⢧⡄⠀⠸⣿⣿⠀⠀⢀⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠈⠛⠋⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠈⠀⠀⠀⠀⠻⠿⠿⠋⠁⠀⠀⠈⢿⣿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⣠⣶⣦⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⣤⣀⠀⠀⠀⠀⣠⣤⣄⠀⠀⠀⣰⣿⣿⣶⡀⠀⠀⠀⣀ ⠀⠀⠘⠻⠿⠀⠀⠀⠀⠘⠿⠟⠀⠀⠀⠀⠘⠛⠃⠀⠀⠀⠀⠻⠿⠃⠀⠀⠀⠀⠿⠿⠀⠀⠀⠀⢿⣿⣿⡇⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⠀⢸⣿⣿⠇⠀⠀⠀⣿⣿⣿⠀⠀⠠⣿⣿⣿⣿⡇⠀⠀⢺⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠉⠉⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⡆⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠈⠻⠟⠛⠁⠀⠀⠀⠙ ⠀⠀⢰⣶⣶⡀⠀⠀⠀⠀⣿⣿⡧⠀⠀⠀⢀⣤⣄⠀⠀⠀⠀⣴⣶⣆⠀⢼⣿⣿⣿⣿⣶⠀⠀⠀⢀⣴⣤⡈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⣀⠀⠀⠀⠀⣴⣿⣷⣦⡀⠀⠀⠀⢀⣀⠀⠀⠀⠀⣤⣾ ⠀⠀⠘⠿⠿⠃⠀⠀⠀⠀⠛⠛⠁⠀⠀⠀⠈⠛⠃⠀⠀⠀⠀⠿⠿⠟⠀⠈⠻⢿⣿⣿⡿⠀⠀⠀⠘⢿⠿⠃⠀⢹⣿⣿⣿⢟⣛⣛⢿⣿⣿⣿⣿⠋⠀⠀⠀⠛⠀⠀⠀⠀⠹⣿⣿⣿⠃⠀⠀⠀⠸⠿⠀⠀⠀⠐⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣥⣤⣤⣄⡀⠀⣀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙ ⠀⠀⢠⣶⣶⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⣴⣿⣷⡄⠀⠀⠀⣴⣶⡆⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⢡⠀⣿⣄⠀⠀⠀⣤⡀⠀⠀⠀⠀⢠⣤⡄⠀⠀⠀⠀⣠⣦⡀⠀⠀⠀⢀⣴ ⠀⠀⠈⠛⠛⠀⠀⠀⠀⠀⠈⣁⡀⠀⠀⠀⠘⠻⠛⠁⠀⠀⠀⠙⠛⠁⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⠶⣠⣿⣿⣦⣀⠀⠙⠁⠀⠀⠀⣀⣿⣿⡇⠀⠀⠀⠀⠻⣿⠇⠀⠀⠀⠘⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣰⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣶⣶⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⡿⠿⢿⣿⣿⣿⣿⣷⠀⠀⠀⠀⣴⣶⡄⠀⠀⠀⠀⣤ ⠀⠀⠀⠀⠉⠀⠀⠀⠀⢻⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠙⠁⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡫⠻⢿⣿⣿⠟⠁⣠⣿⠟⠋⠀⠀⠸⠟⠋⠉⠉⠛⠀⠀⠀⠀⠙⠿⠃⠀⠀⠀⠀⠛ ⠀⠀⢀⣤⣤⣀⠀⠀⠀⣼⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠱⣶⣿⠟⠁⠀⣼⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢼⣿⣿⣿⡧⠀⣾⣿⣿⣿⣿⠤⡤⠄⡆⢠⠀⢠⢠⠀⠠⠀⠀⢀⢀⠄⠀⠀⠀⡄⠀⠀⡠⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠥⠀⠰⠟⡅⡄⢠⢰⠉⡄⡄⢠⠀⠀⠀⢰⠀⡤⠤⠤⢰⣹⣿⣿⣿⣷⣶⣶⣶⣶⣦⣤⣴ ⠀⠀⠈⠛⠛⠉⠀⠀⢻⣿⣿⣿⣿⣿⣿⣧⣄⢸⠀⢸⢸⠀⠀⠀⡐⠡⠁⠀⠀⠀⠀⡇⠀⡰⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠉⠀⠐⠀⡇⠥⠼⢸⠀⡇⡇⢸⠀⠀⠀⢸⠀⡇⠥⠄⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⣀⣀⡀⠀⠀⠀⢹⣿⠛⠛⠋⠇⡟⠋⠸⠀⠜⡸⠀⠀⢊⠄⠀⠀⠀⠀⠀⠀⠇⡇⢴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠤⠤⢂⠌⠀⠇⡏⠸⢸⠀⠇⡇⢸⢸⠀⠐⢸⠀⠇⠉⠉⢡⠸⠿⠿⢿⢟⠻⣿⣿⣿⣿⣿⣿ ⠀⠛⠻⠿⠛⠻⠃⠟⣻⣿⣿⣷⣴⣬⣩⡡⠀⠀⠈⠉⠀⠈⠉⠁⠀⠀⠉⠁⠀⠀⠀⠉⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠉⠉⠀⠀⠀⠉⠁⠈⠉⠀⠉⠁⠉⠉⠀⠀⠉⠀⠉⠉⠉⠉⠀⠀⠉⣵⣦⣶⣮⣿⣭⣿⣯⣉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⠀⠀⠀⠀⣀⣴⣿⡿⡿⣿⣿⣷⣦⣄⠀⠀⠀⠀⣀⠀⠀⠀⠀⢀⣤⣤⣄⡀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠺⠂⠀⠀⠀⠀⠐⠓⠀⠀⠀⠀⠀⢿⣿⠇⠀⢠⣶⣶⣿⡷⠀⠀⠀⠘⣿⣿⣿⠇⠀⢠⣾⣿⣿⣿⣾⣶⣴⣭⣿⣿⣿⣧⡄⠀⢸⣿⣿⠀⠀⢠⣿⣿⣿⣿⡗⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠈⠛⠉⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠉⠀⠀⠀⠈⠻⣿⣿⠿⠃⠀⠀⠈⢻⣿⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣀⠀⠀⠀⠀⢀⣤⣄⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⢀⣤⣄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⣤⣤⡀⠀⠀⠀⣼⣿⣦⡀⠀⠀⣰⣿⣿⣦⡀⠀⠀⠀⣀ ⠀⠀⠈⠻⠟⠀⠀⠀⠀⠘⢿⡿⠀⠀⠀⠀⠘⠛⠁⠀⠀⠀⠀⠻⠿⠃⠀⠀⠀⠀⠻⠿⠀⠀⠀⠀⠻⣿⣿⠃⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡍⠸⠀⢺⣿⣿⡇⠀⠀⠀⣿⣿⣿⡇⠀⠰⣿⣿⣿⣿⡇⠀⠀⢺⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⡆⠀⠉⠁⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠈⠛⠛⠋⠁⠀⠀⠀⠉ ⠀⠀⢰⣶⣶⡄⠀⠀⠀⢀⣾⣿⡇⠀⠀⠀⢀⣤⡀⠀⠀⠀⠀⣴⣶⣆⠀⣼⣿⣿⣿⣿⣷⡀⠀⠀⢠⣴⣤⡀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⣀⠀⠀⠀⠀⣴⣿⣿⣦⡀⠀⠀⠀⢀⣀⠀⠀⠀⠀⣴⣿ ⠀⠀⠸⠿⠿⠃⠀⠀⠀⠈⠛⠛⠁⠀⠀⠀⠈⠛⠁⠀⠀⠀⠀⠻⠿⠟⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣿⣿⣿⣿⢛⣛⣻⣿⣿⣿⣿⣿⡏⠀⠀⠀⠛⠃⠀⠀⠀⠻⣿⣿⣿⠃⠀⠀⠀⠸⠿⠀⠀⠀⠘⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙ ⠀⠀⢰⣶⣶⡄⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⣰⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠡⠀⣿⣦⠀⠀⠀⣤⡀⠀⠀⠀⠀⣤⣶⣄⠀⠀⠀⢀⣴⣶⣄⠀⠀⠀⢀⣶ ⠀⠀⠈⠛⠛⠁⠀⠀⠀⠀⠈⣁⠀⠀⠀⠀⠙⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⣀⣿⣿⣷⣄⠀⠙⠁⠀⠀⠀⣀⣿⣿⡟⠀⠀⠀⠈⠻⡿⠇⠀⠀⠀⠸⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡐⠃⠈⣿⣿⣿⣿⠟⠛⠋⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣰⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⣶⣶⠄⠀⠀⠀⢸⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠃⠀⠀⣿⣟⠋⠁⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣿⣿⣿⠿⢿⣿⣿⣿⣿⣷⠀⠀⠀⠀⣤⣶⣄⠀⠀⠀⠀⣤ ⠀⠀⠀⠈⠀⠀⠀⠀⠀⠈⢻⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠑⠿⣿⣿⡿⠋⢀⣾⡿⠛⠁⠀⠀⠻⠛⠉⠉⠛⠀⠀⠀⠀⠙⠿⠋⠀⠀⠀⠀⠛ ⠀⠀⢀⣤⣤⣀⠀⠀⠀⣠⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⢏⣦⣴⣶⡾⠋⠀⢠⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢾⣿⣿⣿⠗⠀⣾⣿⣿⣿⣿⠧⣤⣤⣦⣠⠀⢠⢠⠀⠠⠀⠀⢀⢀⠄⠀⠀⠀⡄⠀⠀⡠⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⠯⠘⣿⡾⡍⡄⢠⢰⠛⡅⡄⢠⠀⠀⠀⢰⠀⡤⠤⠤⢰⢸⣿⣿⣿⣷⣶⣶⣶⣶⣦⣤⣤ ⠀⠀⠈⠛⠛⠁⠀⠀⠸⣿⣿⣿⣿⣿⡿⣿⣿⣿⢿⣾⢼⣄⡀⠀⡐⠡⠁⠀⠀⠀⠀⡇⠀⡰⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠀⠙⠀⡇⠥⠼⢸⠀⡇⡇⢸⠀⠀⠀⢸⠀⡇⠥⠄⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢀⣠⣤⡀⠀⠀⠀⢹⣿⡟⠛⠋⡇⡟⠋⠸⠈⠽⡸⠛⠩⢎⠄⠀⠀⠀⠀⠀⠀⠇⡇⢴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠤⠤⢂⠌⠀⠇⡏⠸⢸⠀⠇⡇⠸⢸⠀⠐⢸⠀⠇⠉⠉⢁⢸⠿⠿⢿⠟⠻⢿⣿⣿⣿⣿⣿ ⠀⠛⠻⠿⠛⠻⠃⠛⣻⣿⣿⣧⣴⣤⣉⠁⠀⠀⠈⠉⠀⠈⠉⠁⠀⠀⠉⠁⠀⠀⠀⠉⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠉⠉⠀⠀⠀⠉⠁⠈⠉⠀⠉⠁⠉⠉⠀⠀⠉⠀⠉⠉⠉⠉⠀⠀⠉⣵⣦⣶⣼⣿⣽⣿⣭⣌ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣄⠀⠀⠀⠀⣠⣴⣾⡿⢿⣿⣿⣶⣦⣀⠀⠀⠀⠀⣀⠀⠀⠀⠀⢀⣤⣤⣄⡀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣿⡿⠀⠀⠀⠀⠀⠺⠂⠀⠀⠀⠀⠘⠿⠂⠀⠀⠀⠀⢿⣿⠇⠀⢠⣶⣶⢿⡷⠀⠀⠀⠀⢿⣿⣿⠇⠀⢠⣾⣿⣿⣷⣾⣶⣼⣙⣹⢿⣿⣧⡀⠀⢸⣿⣿⠀⠀⢀⣿⣿⣿⣿⣷⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠉⠀⠀⠀⠀⠀⠀⠈⠉⠋⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠉⠀⠀⠀⠈⢻⣿⣿⣿⠏⠀⠀⠈⢻⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣀⠀⠀⠀⠀⢀⣤⣄⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⢀⣤⣄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⣤⣄⠀⠀⠀⠀⣼⣿⣷⡀⠀⠀⢠⣿⣿⣦⠀⠀⠀⠀⣀ ⠀⠀⠈⠻⠟⠀⠀⠀⠀⠹⣿⡿⠀⠀⠀⠀⠘⠛⠀⠀⠀⠀⠀⠻⠿⠇⠀⠀⠀⠀⠿⡿⠀⠀⠀⠀⠺⣿⣿⠃⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⢙⠀⢺⣿⣿⡇⠀⠀⠀⣿⣿⣿⡟⠀⠐⣿⣿⣿⣿⡇⠀⠀⢸⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡆⠀⠉⠉⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠈⠛⠛⠋⠀⠀⠀⠀⠙ ⠀⠀⢰⣶⣶⡀⠀⠀⠀⢀⣾⣿⡆⠀⠀⠀⢀⣤⡀⠀⠀⠀⠀⣴⣶⣆⠀⣾⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⡿⠃⠀⣀⠀⠀⠀⠀⣴⣿⣿⣦⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⣤⣶ ⠀⠀⠸⠿⠿⠃⠀⠀⠀⠈⠻⠟⠁⠀⠀⠀⠈⠛⠃⠀⠀⠀⠀⠿⠿⠟⠀⠙⠿⡿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠿⠏⠀⠀⠀⠻⣿⣿⡿⠃⠀⠀⠀⠸⠿⠀⠀⠀⠐⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠂⠀⠀⠉⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙ ⠀⠀⢰⣶⣶⡄⠀⠀⠀⠀⣠⡄⠀⠀⠀⠀⢰⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢀⣤⣤⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠡⠀⣿⣦⠀⠀⠀⣤⡀⠀⠀⠀⠀⣤⣶⣆⠀⠀⠀⢀⣤⣦⡄⠀⠀⠀⢀⣶ ⠀⠀⠈⠛⠛⠁⠀⠀⠀⠀⠈⣁⡀⠀⠀⠀⠙⠛⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⢾⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣄⣿⣿⣷⣄⠀⠙⠁⠀⠀⠀⢀⣿⣿⡿⠀⠀⠀⠈⠻⣿⠏⠀⠀⠀⠸⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣌⠃⠀⣼⣿⣿⣿⠟⠋⠉⠁⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⣰⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣶⣶⠀⠀⠀⠀⢸⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠋⠀⠀⣿⠿⠟⠁⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣿⣿⣿⡿⢿⣿⣿⣿⣿⣯⠀⠀⠀⠀⣴⣶⣄⠀⠀⠀⠀⣠ ⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠿⢿⣿⣿⡿⠋⢀⣼⡿⠟⠁⠀⠀⡿⠛⠛⠛⠻⠀⠀⠀⠀⠻⠿⠋⠀⠀⠀⠀⠛ ⠀⠀⢀⣤⣤⡀⠀⠀⠀⢠⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣦⣤⣾⡿⠋⠀⢠⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⠆⠀⢰⣿⣿⣿⣿⠧⣤⣤⣶⣦⣄⣠⢠⠀⠠⠀⠀⢀⢀⠄⠀⠀⠀⡄⠀⠀⡠⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⠯⠜⣿⡿⡍⡄⢠⢰⠊⡍⡄⢠⠀⠀⠀⢰⠀⡤⠤⠤⢰⢸⣿⣿⣿⣶⣶⣶⣶⣶⣦⣤⣴ ⠀⠀⠈⠛⠛⠁⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡐⠡⠁⠀⠀⠀⠀⡇⠀⡰⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠐⠛⠀⡇⠥⠼⢸⠀⡇⡇⢸⠀⠀⠀⢸⠀⡇⠥⠄⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢀⣠⣤⡀⠀⠀⠀⣙⣿⠟⠛⠋⡇⡟⠋⠸⠈⠽⡸⠙⠋⢋⠆⠀⠀⠀⠀⠀⠀⠇⡇⢴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠄⠤⢂⠌⠀⠇⡏⠹⢸⠀⠇⡇⢸⢸⠀⠐⢸⠀⠇⠉⠉⢁⢸⠿⠿⢿⠟⢻⣿⣿⣿⣿⣿⣿ ⠀⠛⠛⠿⠛⠻⠃⠛⣻⣿⣿⣧⣴⣬⣉⠁⠀⠀⠈⠉⠀⠈⠉⠁⠀⠀⠉⠁⠀⠀⠀⠉⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠉⠉⠀⠀⠀⠉⠁⠈⠉⠀⠉⠁⠈⠉⠀⠈⠉⠀⠉⠉⠉⠉⠀⠀⠉⣵⣦⣶⣮⣿⣭⣿⣯⣍ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣀⠀⠀⠀⠀⣠⣶⡾⢿⣿⣿⣷⣶⣤⡀⠀⠀⠀⠀⣀⡀⠀⠀⠀⣀⣤⣤⣤⡀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⢿⠿⠀⠀⠀⠀⠀⠺⠆⠀⠀⠀⠀⠸⡿⠆⠀⠀⠀⠀⢿⣿⠇⠀⢠⣶⣶⢾⠇⠀⠀⠀⠀⣿⣿⣿⠂⠀⣰⣮⣿⣯⣴⣴⡯⡋⣻⣿⣿⢯⣦⡀⠀⢸⣿⣿⠀⠀⢰⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⡷⠀⠀⠀⠀⠰ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠉⠀⠀⠀⠀⠀⠀⠈⠙⠉⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠉⠁⠀⠀⠘⣿⣿⣿⣿⠏⠀⠀⠈⠙⠛⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣀⠀⠀⠀⠀⣠⣤⣤⡀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⣠⡄⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣤⣄⠀⠀⠀⢈⣿⣿⣷⡀⠀⠀⢀⣴⣷⣄⠀⠀⠀⠀⣀ ⠀⠀⠈⠻⠟⠀⠀⠀⠀⢿⣿⣿⠃⠀⠀⠀⠘⠿⠃⠀⠀⠀⠀⠿⣿⠇⠀⠀⠀⠘⢿⡿⠀⠀⠀⠀⢘⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⠁⡃⠀⢾⣿⣿⡇⠀⠀⢸⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⠀⠀⠀⢸⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⡆⠀⠉⠉⠀⠀⠀⠀⢉⠉⠉⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠉ ⠀⠀⣰⣶⣶⡄⠀⠀⠀⢠⣾⣿⡆⠀⠀⠀⢀⣤⡀⠀⠀⠀⠀⣴⣶⣆⢠⣾⣿⣿⡿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⣀⡀⠀⠀⠀⣾⣿⣿⣦⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⣤⣶ ⠀⠀⠹⠿⠿⠃⠀⠀⠀⠙⠿⠟⠃⠀⠀⠀⠈⠛⠁⠀⠀⠀⠀⠿⣿⠏⠉⠉⠈⠁⠀⠾⣿⡿⠟⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠘⠿⠟⠀⠀⠀⠿⣿⣿⣿⠃⠀⠀⠀⢿⣿⠃⠀⠀⠐⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⢿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙ ⠀⠀⢠⣾⣿⡄⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⣸⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣦⣴⣶⣤⣴⣿⣿⣆⠀⠘⣿⣿⣿⣿⣿⣿⣿⡏⣳⣤⣿⣦⠀⠀⠀⣤⡀⠀⠀⠀⠀⣴⣶⣦⠀⠀⠀⢀⣰⣦⣄⠀⠀⠀⢀⣶ ⠀⠀⠈⠛⠿⠃⠀⠀⠀⠀⠈⣁⡀⠀⠀⠀⠽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠰⣿⠛⠛⣿⣿⣿⣿⣿⣿⣿⡤⠀⣿⣿⣿⣿⣿⣿⣿⣿⡶⣴⣿⣿⣧⡀⠀⠛⠋⠀⠀⠀⢀⣿⣿⣿⠀⠀⠀⠈⠿⣿⠟⠀⠀⠀⠘⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢾⣿⣶⠌⠀⢀⣷⣿⣿⠟⠉⠉⠁⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣀⣠⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⣶⣶⠀⠀⠀⠀⢰⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⣾⣿⣿⠋⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣴⣶⣄⠀⠀⠀⠀⣠ ⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠉⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠟⠁⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⠟⠁⣰⣿⡿⠋⠁⠀⢻⡿⠟⠛⠿⡀⠀⠀⠀⠻⠿⠋⠀⠀⠀⠀⠛ ⠀⠀⢀⣤⣤⡀⠀⠀⠀⢀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣽⣤⣴⣿⠟⠁⠀⣾⡿⠁⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⠂⠀⢰⣿⣿⣿⣿⠤⣤⣤⣶⣶⣶⣶⣤⣄⠠⠀⠀⢀⢄⠄⠀⠀⠀⡄⠀⠀⡠⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠝⣿⡿⡟⡇⢠⢰⠘⡏⡇⢠⠀⠀⢀⢰⠀⡤⠤⠤⢰⢸⣿⣿⣷⣶⣶⣶⣶⣶⣦⣤⣴ ⠀⠀⠀⠛⠛⠁⠀⠀⠀⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣔⠡⠁⠀⠀⠀⡀⡇⠀⡰⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠰⠛⠁⡇⠥⠼⢸⠀⡇⡇⢸⠀⠀⠘⢸⠀⡇⠥⠄⡄⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢀⣤⣤⡀⠀⠀⠀⢈⣿⠟⠛⠋⡇⡟⠛⠹⠈⠽⡸⠛⠋⢋⠎⠁⠀⠀⠀⠀⠀⠇⡇⢴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠣⠤⢊⠌⠀⡇⡏⠹⢸⠀⠇⡇⠸⢸⠀⠐⢸⠀⠇⠉⠉⠡⠀⡿⠿⢿⠟⠻⢿⣿⣿⣿⣿⣿ ⠀⠛⠻⠿⠛⠻⠃⠛⣻⣿⣿⣧⣴⣦⣉⠁⠀⠀⠉⠉⠀⠈⠉⠁⠀⠀⠉⣡⠂⠀⠀⠉⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠉⠀⠀⠀⠉⠁⠈⠉⠀⠉⠁⠈⠉⠀⠈⠉⠀⠉⠉⠉⠉⠀⠀⠉⣵⣦⣴⣽⣿⣭⣯⣏⣍ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⣠⣶⡿⣿⣿⣿⣷⣶⣤⡀⠀⠀⠀⠀⣀⠀⠀⠀⠀⣀⣤⣤⣤⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⠿⠿⠀⠀⠀⠀⠀⠾⠆⠀⠀⠀⠀⠸⣿⠇⠀⠀⠀⠀⢿⣿⠇⠀⢠⣶⣶⢾⠧⠀⠀⠀⠀⢿⣿⣿⠇⠀⣰⣾⣿⣏⣤⣬⣽⢹⢿⣿⣿⣿⣆⡀⠀⢰⣿⣿⠀⠀⢰⣿⣿⣿⣿⣿⠀⠀⢰⣿⣿⡧⠀⠀⠀⠀⠰ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠋⠀⠀⠀⠀⠀⠀⠀⠙⠋⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠉⠁⠀⠀⠘⣿⣿⣿⣿⠏⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣀⠀⠀⠀⠀⣠⣴⣦⡀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⣀⣤⡀⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⠀⣀⣀⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣤⣀⠀⠀⠀⢈⣿⣿⣿⡀⠀⠀⢀⣠⣤⡀⠀⠀⠀⠀⢀ ⠀⠀⠘⠿⠿⠀⠀⠀⠀⢻⣿⣿⠇⠀⠀⠀⠸⠿⠃⠀⠀⠀⠀⠿⣿⠇⠀⠀⠀⠘⢿⣿⠀⠀⣀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡃⠀⢿⣿⣿⡇⠀⠀⢸⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⠀⠀⠀⠸⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⡆⠀⠉⠉⠀⠀⠀⠀⢉⡉⠉⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠉ ⠀⠀⣠⣶⣶⡄⠀⠀⠀⢠⣾⣷⡆⠀⠀⠀⢀⣄⡀⠀⠀⠀⠀⣴⣶⣄⣠⣾⢿⡿⠋⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⣀⡀⠀⠀⢀⣾⣿⣿⡆⠀⠀⠀⠀⣠⣤⡀⠀⠀⠀⣠⣴ ⠀⠀⠹⠿⠿⠃⠀⠀⠀⠙⠿⠿⠃⠀⠀⠀⠈⠛⠁⠀⠀⠀⠀⣿⢿⢫⣀⠀⠁⠁⠀⠈⠻⠋⠉⠉⠙⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠘⠿⠟⠀⠀⠈⠿⣿⣿⡷⠀⠀⠀⠀⢿⣿⠇⠀⠀⠀⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡏⢛⣿⣿⣿⣿⣿⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛ ⠀⠀⢰⣿⣿⡆⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⣰⡾⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣶⣶⣴⣶⣦⣴⣿⣿⣆⠀⠀⣿⣿⣿⣿⣿⣿⣿⣟⣿⣅⣿⣦⡀⠀⢀⣤⣄⠀⠀⠀⠀⣤⣶⣤⠀⠀⠀⠀⣠⣤⣀⠀⠀⠀⢀⣴ ⠀⠀⠈⠿⠿⠃⠀⠀⠀⠀⠈⣁⡀⠀⠀⠠⡌⡁⠈⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠘⢿⠏⠛⢿⠻⣿⣿⣿⣿⣷⣤⠀⣿⣿⣿⣿⣿⣿⣿⣿⣾⣾⣿⣿⣷⣄⠈⠛⠋⠀⠀⠀⢀⣿⣿⡿⠀⠀⠀⠈⠿⣿⠟⠀⠀⠀⠘⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⢿⣷⡄⠀⢰⣿⣿⣿⡟⠋⠉⠁⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣀⣠⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣶⣶⠀⠀⠀⠀⠰⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⣼⣿⣿⠏⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⢀⣴⣶⣄⠀⠀⠀⠀⣀ ⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠟⠁⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⡿⠋⢠⣿⡿⠟⠉⠀⢻⡿⠿⠿⠿⡀⠀⠀⠈⠻⢿⠟⠀⠀⠀⠀⠛ ⠀⠀⢀⣀⣀⡀⠀⠀⠀⢀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣤⣤⣿⡿⠋⠀⣰⣿⠏⠀⠀⠀⠀⠈⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⠀⠀⠠⣿⣿⣿⣿⠤⣤⣤⣶⣶⣶⣷⣶⣤⡠⠀⠀⢀⢄⠄⠀⠀⠀⡄⠀⠀⡠⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠓⣿⠻⡟⡏⢠⢰⠀⡟⡇⢠⠠⠀⢠⢰⠀⡤⠤⠤⢴⢸⣿⣷⣶⣶⣶⣶⣶⣶⣤⣤⣴ ⠀⠀⠈⠛⠛⠁⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣡⠁⠀⠀⠐⠀⡇⠌⡰⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠰⠟⠃⡇⠥⠼⢸⠀⡇⡇⢸⢀⠐⢸⢸⠀⡇⠥⠄⡄⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢀⣤⣤⡄⠀⠀⠀⢈⣿⡟⢻⠏⡇⣿⡟⠹⠨⠽⡸⡻⢫⢏⠎⠁⠀⠄⠐⠆⠀⠇⡇⢴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠧⠤⣋⠎⠀⡇⡏⠹⢸⠀⠇⡇⠸⢸⠀⠘⢸⠀⠇⠋⠉⠡⠀⣿⠿⣿⢟⣿⣿⣿⣿⣿⣿⣿ ⠀⠛⠻⠿⠛⠻⠃⠛⣻⣿⣟⣧⣴⣬⣭⣹⣬⣦⣭⣍⣰⣬⣭⣅⡀⠀⠉⠁⠂⠈⠈⠉⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠉⠉⠀⠀⠀⠉⠁⠈⠉⠀⠉⠁⠈⠉⠀⠈⠉⠀⠉⠉⠉⠉⠈⠀⠉⣵⣾⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣷⣶⣤⡀⠀⠀⠀⠀⣀⠀⠀⠀⠀⣀⣤⣤⣤⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠿⠗⠀⠀⠀⠀⠀⠿⠆⠀⠀⠀⠀⢸⣿⠗⠀⠀⠀⠀⠿⣿⠇⠀⢰⣾⣶⠾⠧⠀⠀⠀⠀⣿⣿⣿⠇⠀⣴⣿⣋⣀⣀⢙⢙⢻⣿⣿⣿⣷⣤⠀⠀⢸⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⢰⣿⣿⡧⠀⠀⠀⠀⢶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠋⠀⠀⠀⠀⠀⠀⠈⢉⣩⣤⣾⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⠀⠀⠀⠉⠀⠀⠀⠘⣿⣿⣿⣿⠇⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣠⣄⠀⠀⠀⠀⣠⣴⣦⡀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⣠⣤⡄⠀⠀⠀⢀⣠⣄⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⢀⣀⣀⠀⠀⠀⠈⣿⣿⣷⡀⠀⠀⠀⣀⣄⠀⠀⠀⠀⠀⣀ ⠀⠀⠘⠿⠿⠀⠀⠀⠀⢻⣿⣿⠇⠀⠀⠀⠸⠿⠇⠀⠀⠀⠀⢿⣿⠇⠀⠀⠀⠘⢿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢡⣇⠀⢺⣿⣿⡆⠀⠀⠘⣿⣿⣿⠃⠀⠀⠸⣿⣿⡇⠀⠀⠀⠸⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⣉⡉⠁⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠈ ⠀⠀⣠⣶⣶⡀⠀⠀⠀⣠⣾⣶⡆⠀⠀⠀⢀⣤⡀⠀⠀⠀⠀⣴⣶⣤⠶⠽⠋⠁⠀⠻⣿⠿⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⣀⡀⠀⠀⢠⣾⣿⣿⡆⠀⠀⠀⠀⣤⣦⡀⠀⠀⠀⣠⣶ ⠀⠀⠹⢿⡿⠃⠀⠀⠀⠙⠿⠟⠁⠀⠀⠀⠈⠛⠃⠀⠀⠀⠔⠁⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠛⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠈⠿⠟⠀⠀⠈⠿⣿⣿⡇⠀⠀⠀⠸⣿⣿⠟⠀⠀⠀⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠈⠙ ⠀⠀⢰⣿⣿⡄⠀⠀⠀⠀⣤⡄⠀⠀⠀⠀⠠⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣦⣴⣶⣦⣼⣿⣿⡆⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⣤⣤⠀⠀⠀⠀⣤⣴⣆⠀⠀⠀⠀⣠⣤⡀⠀⠀⠀⠀⣴ ⠀⠀⠈⠻⠟⠃⠀⠀⠀⠀⢈⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⠘⢿⠏⠛⢾⣛⢿⣿⣿⣿⣷⣤⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠛⠛⠀⠀⠀⢀⣿⣿⡟⠀⠀⠀⠀⠻⠿⠃⠀⠀⠀⠘⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠿⣿⠆⠀⢰⣿⣿⣿⣿⠛⠉⠉⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣀⣠⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣶⣶⠀⠀⠀⠀⠸⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠟⠁⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⢀⣴⣶⣄⠀⠀⠀⠀⣠ ⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠁⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⠟⢁⣾⣿⠟⠋⠉⠙⣿⡿⠿⠿⡄⠀⠀⠀⠻⠿⠛⠀⠀⠀⠀⠙ ⠀⠀⢀⣀⣀⠀⠀⠀⠀⣠⣤⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢏⣧⣤⣾⡿⠟⠁⠠⣾⠛⠁⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣷⠀⠀⠰⣿⣿⣿⣿⠧⣤⣤⣶⣿⣷⣿⣷⣶⣤⠀⠀⢀⢄⠄⠀⠀⠀⡄⠀⠀⡠⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢻⠛⡝⡟⢡⢠⠀⡍⡗⢠⠀⠀⢠⢰⠀⡤⠤⠤⢴⠈⣿⣿⣷⣶⣶⣶⣶⣶⣤⣤⣤ ⠀⠀⠀⠛⠛⠁⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣥⠁⠀⠀⠀⠀⡇⠀⡰⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⢙⠀⡇⠥⠼⢸⠀⡇⡇⢸⠀⠐⠠⢸⠀⡇⠥⠤⡄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢀⣤⣶⣦⣄⠀⠀⢸⣿⠟⠛⠋⡇⡟⠛⠹⠈⠝⡸⠛⠋⢏⠎⠁⠀⠀⠀⠀⠀⠇⡇⢴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠯⠤⣊⠎⠀⡇⡏⠹⢸⠀⡇⡇⠸⢸⠀⠐⢸⠀⠇⠉⠉⠡⠀⢻⠿⢿⠟⣿⢿⣿⣿⣿⣿⣿ ⠀⠛⠛⠿⠛⠻⠋⠛⣻⣿⣿⣧⣤⣈⠉⠁⠀⠀⠈⠉⠀⠈⠉⠁⠀⠀⠉⢁⠀⠀⠀⠉⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠉⠀⠀⠀⠉⠁⠈⠉⠀⠉⠁⠈⠉⠀⠈⠉⠀⠉⠉⠉⠉⠀⠀⠉⣵⣦⣴⣯⣽⣭⣭⣏⣙ ⠀⠀⠀⠀⠀⢠⣤⡄⣤⣤⣤⣤⣤⣤⣤⢀⣤⣴⣤⣄⠀⠀⠀⢀⣤⣶⣤⡄⢠⣤⣤⢀⣤⣤⢤⣤⣤⣤⡄⣤⣤⣤⣤⣄⠀⠀⠀⣠⣤⣤⣄⠀⠀⠀⢀⣤⣶⣦⣄⠀⣠⣴⣶⣤⡀⠀⣠⣴⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠉⢻⣿⡟⠉⢻⡟⢾⣿⣏⠿⠿⠆⠀⠀⣿⣿⡏⣿⣿⠸⣿⣿⢸⣿⣿⢸⣿⣿⠉⠁⣿⣿⡏⣿⣿⣀⠀⢰⣿⡟⢹⣿⡇⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⢹⣿⣿⢰⣿⣿⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⢸⣿⡇⠀⠀⠀⠘⢿⣿⣷⣦⠀⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⣸⣿⡿⢸⣿⣿⣶⡆⣿⣿⣷⣿⣿⠍⣿⣿⣿⣿⣿⣿⣇⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⣸⣿⣿⣸⣿⣿⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⠀⢸⣿⡇⠀⢸⣿⡇⠀⠀⠀⢰⣾⡟⣿⣿⡇⠀⠀⣿⣿⡧⣿⣿⣷⣿⣿⣿⣿⡇⢸⣿⣿⣿⡗⣿⣿⣇⣿⣿⡀⠀⠉⣽⣿⡿⠓⢠⣴⣄⣿⣿⡇⣿⣿⠆⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⡷⠀⠀⠀⠀⠀⠰ ⠀⠀⠀⠀⠀⠸⠿⠇⠀⠸⠿⠇⠀⠀⠀⠘⠿⢿⡿⠟⠁⠀⠀⠙⠿⣿⠿⠟⠙⠹⠿⠿⠿⠃⠸⠿⢿⣿⣷⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣷⠙⠿⣿⠿⠟⠀⠻⠿⣿⣿⣿⠏⠻⠿⡿⠿⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⡀⠀⠀⠀⠀⢀⣠⡄⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⢀⣄⠀⠀⠀⠀⠀⣀⣀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⠇⠀⠀⠀⠀⠘⢿⠗⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠻⡿⠇⠀⠀⠀⠀⠿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣶⣶⠾⢿⣻⡀⢠⡀⠀⠐⠿⠗⠀⠀⠀⠀⢿⣿⠇⠀⠀⠀⠀⠾⡿⠀⠀⠀⠀⠀⢾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣦⣄⣉⡁⢶⣤⠈⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣤⣄⠀⠀⠀⠀⢀⣴⣶⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠟⠋⠉⠉⠛⣿⡟⠛⣿⣿⣿⣿⢿⠟⣿⣿⣿⣿⣌⠹⠀⠀⠁⠀⠀⣀⠀⠀⠀⠀⣾⣿⣷⠀⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⢀⣤ ⠀⠀⠈⠻⠛⠀⠀⠀⠀⠈⠛⠋⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠃⠀⠘⣻⣿⣿⣶⣦⣤⣽⣿⣿⣿⡇⣼⠀⠀⠀⠀⠛⠃⠀⠀⠀⠻⢿⣿⠀⠀⠀⠀⠀⢿⣿⠃⠀⠀⠀⠻⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣩⣭⣽⣿⣿⣿⣿⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⣶⣶⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣦⡀⠠⢶⡦⣤⣶⣦⡀⠀⠈⣿⣿⣿⣿⣿⣿⡿⢻⡧⠀⢸⣄⠀⠀⠀⣤⡄⠀⠀⠀⠀⢠⣤⡀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⢠ ⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠻⠉⠁⠀⠀⠈⠛⣿⣿⣦⡄⠀⣿⣿⣿⣿⣿⣿⡧⣀⣼⣥⣿⣿⣷⣄⠀⠙⠋⠀⠀⠀⠀⣸⣿⠃⠀⠀⠀⠀⠙⠛⠀⠀⠀⠀⠀⠻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠄⠀⠀⠉⠉⠀⠀⣰⣿⣿⣿⣟⣭⣭⣯⣿⣿⡿⢽⣿⣿⣿⣷⣶⣶⣄⣀⠀⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢴⣦⠀⠀⠀⠀⠀⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠉⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠆⠛⠛⠉⠉⠛⢿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⣠⣤⡀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢉⡀⣁⠤⡶⠋⠀⠀⠀⠋⠉⠀⠀⠈⠛⠛⠃⠀⠀⠀⠀⠘⠟⠁⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⣿⣿⠀⠀⠀⠀⢼⣿⣿⡯⠀⢀⣤⣴⣶⣶⣾⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠠⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠄⡄⠀⠀⠀⠄⠀⠠⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⣶⣶⣶⣶⣶⣶⣶⣤⣤⣤⣀ ⠀⠀⠀⠉⠁⠀⠀⠀⠀⢹⣿⣿⣷⡾⡟⣿⣿⢿⠛⢿⢹⣿⣿⣷⣖⠁⠀⠀⠀⠀⠀⠀⠀⠐⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠃⠀⠤⠰⠀⡇⠁⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢻⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢀⣠⣤⡀⠀⠀⠀⢈⣛⠋⠉⠁⠃⠈⠁⠀⠀⠘⡘⠈⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠠⢂⠄⠀⠆⡍⠀⢘⠀⠃⠀⠀⠀⠀⠀⢸⠀⠀⠈⠈⠀⠀⠈⠽⢋⠏⠉⠛⠛⠻⠿⠿⠿ ⠀⠛⠉⠝⠛⠛⠃⠛⣻⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠈⠉⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣤⡄⣤⣤⣤⣤⣤⣤⣤⢀⣤⣴⣤⣄⠀⠀⠀⢀⣤⣶⣤⡄⢠⣤⣤⢀⣤⣤⢤⣤⣤⣤⡄⣤⣤⣤⣤⣄⠀⠀⠀⣠⣤⣤⣄⠀⠀⠀⢀⣤⣶⣦⣄⠀⣠⣴⣶⣤⡀⠀⣠⣴⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠉⢻⣿⡟⠉⢻⡟⢾⣿⣏⠿⠿⠆⠀⠀⣿⣿⡋⣿⣿⠸⣿⣿⢸⣿⣿⢸⣿⣿⠉⠁⣿⣿⡏⣿⣿⡀⠀⢰⣿⡟⢹⣿⡇⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⢸⣿⣿⢰⣿⣿⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⢸⣿⡇⠀⠀⠀⠘⢿⣿⣷⣦⠀⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⣸⣿⡿⢸⣿⣿⣶⡆⣿⣿⣷⣿⣿⣳⣬⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⣸⣿⣿⣸⣿⣿⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⠀⢸⣿⡇⠀⢸⣿⡇⠀⠀⠀⢰⣾⡟⣿⣿⡇⠀⠀⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣇⣿⣿⡇⣿⣿⠈⠉⠉⣽⣿⡿⠃⣠⣦⡄⣿⣿⡇⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⡷⠀⠀⠀⠀⠀⠰ ⠀⠀⠀⠀⠀⠸⠿⠇⠀⠸⠿⠇⠀⠀⠀⠘⠿⢿⡿⠟⠁⠀⠀⠙⠿⣿⠿⠟⠛⠹⠿⠿⠿⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⡟⣿⣷⠙⠿⣿⠿⠟⠀⠻⢿⣿⣿⣿⠏⠻⠿⡿⠿⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⣀⣄⠀⠀⠀⠀⠀⣀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠛⠇⠀⠀⠀⠀⠀⠻⠏⠀⠀⠀⠀⠐⠟⠃⠀⠀⠀⠀⠿⠿⠂⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⣛⣛⣛⣿⣿⣧⣬⡛⠻⣇⠀⣨⡀⠀⠀⠿⠂⠀⠀⠀⠀⠸⡿⠇⠀⠀⠀⠀⠸⠷⠀⠀⠀⠀⠀⠾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣽⡷⠀⠀⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣤⣄⠀⠀⠀⠀⠀⣤⣤⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠋⠉⠉⠈⠉⠉⣉⡉⠉⣿⣿⣿⣿⡦⣝⣿⣿⣿⣿⣷⡆⢰⡿⠁⠀⠀⣀⠀⠀⠀⢠⣾⣿⣷⠀⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⢀⣤ ⠀⠀⠈⠛⠋⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠃⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⡼⠀⠀⠀⠀⠛⠁⠀⠀⠀⠻⢿⣿⠀⠀⠀⠀⠈⢿⣿⠃⠀⠀⠀⠻⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡏⣉⣿⣿⣿⣿⣿⡏⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⣦⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣦⠀⠠⠲⠤⣰⣶⣶⠀⠀⠸⣿⣿⣿⣿⣿⣿⢿⣿⣔⡄⣿⢀⠀⠀⠀⣤⣄⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⣈⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠏⠉⠁⠀⠀⠉⢻⣿⣿⣦⡄⠀⣿⣿⣿⣿⣿⣯⢜⣿⣿⣿⣿⣿⣧⡀⠈⠛⠋⠀⠀⠀⠀⢘⠟⠁⠀⠀⠀⠀⠘⠋⠀⠀⠀⠀⠀⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⢠⣤⡀⠈⠛⠉⠀⠀⣴⣿⣿⣿⣟⣩⣿⣿⣿⣿⣟⣷⣿⣿⣿⣷⣶⣦⣄⡀⠀⣾⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢤⡆⠀⠀⠀⠀⠸⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠉⠀⠀⠀⢀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⠌⠿⠟⠋⠉⠛⢻⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⢠⣤⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⢀⠄⠶⠀⠀⠀⠀⠘⠋⠀⠈⠙⠹⠟⠃⠀⠀⠀⠀⠘⠟⠁⠀⠀⠀⠀⠈ ⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⠂⠀⠀⠀⢸⣿⣿⡧⠀⢀⣤⣴⣶⣶⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⡄⠀⠀⠀⠄⠀⠠⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⡶⢶⣶⣶⣶⣶⣶⣤⣤⣤⣀ ⠀⠀⠀⠁⠀⠀⠀⠀⠀⢸⣿⣿⣷⡾⡟⢿⣾⠻⠛⢿⢹⣿⣿⣶⣄⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠐⠀⠃⠀⠤⠀⠀⡇⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢻⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢀⣤⣤⡀⠀⠀⠀⢈⣻⠋⠉⠁⠃⠈⠁⠀⠀⠘⡈⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠠⢂⠄⠀⠂⠉⠀⠀⠀⠅⠀⠀⠀⠀⠀⢸⠀⠀⠈⠈⠀⠀⠊⠹⢋⠏⠉⠋⠛⠻⠿⠿⠿ ⠀⠛⠉⠝⠛⠛⠃⠛⣻⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣤⡄⣤⣤⣤⣤⣤⣤⣤⢀⣤⣴⣤⣄⠀⠀⠀⢀⣤⣶⣤⡄⢠⣤⣤⢀⣤⣤⢤⣤⣤⣤⡄⣤⣤⣤⣤⣄⠀⠀⠀⣠⣤⣤⣄⠀⠀⠀⢀⣤⣶⣦⣄⠀⣠⣴⣶⣤⡀⠀⣠⣴⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠉⢻⣿⡟⠉⢻⡟⢼⣿⣏⠿⠿⠆⠀⠀⣿⣿⡏⣿⣿⠸⣿⣿⢸⣿⣿⢸⣿⣿⠉⠁⣿⣿⡏⣿⣿⡀⠀⢰⣿⡟⢹⣿⡇⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⢸⣿⣿⢰⣿⣿⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⢸⣿⡇⠀⠀⠀⠘⢿⣿⣷⣦⠀⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⣼⣿⡿⢸⣿⣿⣶⡆⣿⣿⣷⣿⣿⣦⣽⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⣸⣿⣿⣸⣿⣿⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⠀⢸⣿⡇⠀⢸⣿⡇⠀⠀⠀⢰⣶⡟⣿⣿⡇⠀⠀⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣇⣿⣿⡇⣿⣿⠉⠛⠉⣿⣿⡿⠉⣤⣦⡄⣿⣿⡇⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⡦⠀⠀⠀⠀⠀⠰ ⠀⠀⠀⠀⠀⠸⠿⠇⠀⠸⠿⠇⠀⠀⠀⠘⠿⢿⡿⠟⠁⠀⠀⠙⠿⣿⠿⠟⠛⠻⠿⠿⠿⢁⣼⣿⣿⣿⣿⣿⣿⣷⣿⣿⣶⣦⣼⣿⣿⣿⣿⠟⣿⣷⠙⠿⣿⠿⠟⠀⠻⢿⣿⣿⣿⠋⠻⠿⡿⠿⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⣀⣄⠀⠀⠀⠀⠀⣀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⡿⠿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⠃⠀⠀⠀⠀⠀⠻⠃⠀⠀⠀⠀⠘⠟⠀⠀⠀⠀⠀⢿⡿⠃⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣛⣋⣭⣽⣿⣿⣿⣦⣬⣟⣿⡇⠀⣨⡀⠀⠀⠺⠀⠀⠀⠀⠀⠸⠿⠂⠀⠀⠀⠀⠰⠗⠀⠀⠀⠀⠀⠾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⡿⠃⣼⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣤⣄⠀⠀⠀⠀⠀⣠⡄⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠋⠉⠁⠀⠉⠉⠉⣉⡉⠀⣷⣿⣿⣷⢾⣿⣿⣿⣿⣿⣿⠀⣿⠿⠁⠀⠀⣀⠀⠀⠀⢠⣾⣿⣷⠀⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⢀⣤ ⠀⠀⠈⠛⠋⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠁⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⡍⠀⠀⠀⠀⠛⠀⠀⠀⠈⠻⣿⡿⠀⠀⠀⠀⠘⢿⣿⠃⠀⠀⠀⠺⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⢛⣛⣿⣿⣿⣿⣿⠇⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣤⣤⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⠀⠢⢄⣰⣶⣦⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣯⣦⡆⣧⢀⠀⠀⢀⣤⣄⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⣈⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠠⠏⠉⠁⠀⠀⠘⢛⣿⣿⣦⡀⠘⣿⣿⣿⣿⣿⣧⢟⣷⣿⣿⣿⣿⣦⡀⠈⠻⠋⠀⠀⠀⠀⢘⠛⠁⠀⠀⠀⠀⠈⠋⠀⠀⠀⠀⠀⠚ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠂⠀⠀⠀⠀⢤⣄⠀⠘⠛⠋⠁⠀⣼⣿⣿⣿⣋⣻⣾⣿⣿⣿⣟⣥⣿⣿⣿⣶⣶⣤⣀⠀⠀⣼⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡤⠀⠀⠀⠀⢸⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠉⠁⠀⠀⠀⢀⣼⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣦⠈⠿⠋⠋⠉⠛⢻⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠄⠔⠀⠀⠀⠀⠀⠋⠀⠈⠙⠛⠟⠃⠀⠀⠀⠀⠘⠟⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠰⣿⣿⠀⠀⠀⠀⣼⣿⣿⡧⠀⢀⣤⣴⣶⣶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠄⡄⠀⠀⠀⠄⠀⠠⠀⠀⠀⢀⠀⠀⠀⠀⠀⠐⡶⢶⣶⣶⣶⣶⣶⣤⣤⣤⣀ ⠀⠀⠀⠉⠁⠀⠀⠀⠀⢸⣿⣿⣷⡾⡟⢿⣾⠻⠛⢿⢹⣿⣷⣤⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠅⠀⠄⠀⠀⡇⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢀⣠⣤⡀⠀⠀⠀⠈⣟⠋⠉⠁⠁⠈⠁⠀⠀⠘⡈⠈⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠠⢂⠄⠀⠀⠉⠀⠰⠀⠅⠀⠀⠀⠀⠀⢸⠀⠀⠈⠈⠀⠀⠊⠹⢋⠏⠉⠋⠛⠻⠿⠿⠿ ⠀⠛⠉⠝⠛⠛⠃⠛⣻⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣤⡄⣤⣤⣤⣤⣤⣤⣤⢀⣤⣴⣤⣄⠀⠀⠀⢀⣤⣴⣤⡄⢠⣤⣤⢀⣤⣤⢤⣤⣤⣤⡄⣤⣤⣤⣤⣄⠀⠀⠀⣠⣤⣤⣄⠀⠀⠀⢀⣤⣶⣦⣄⠀⣠⣴⣶⣤⡀⠀⣠⣴⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠉⢻⣿⡟⠉⢻⡟⢼⣿⣏⠿⠿⠆⠀⠀⣿⣿⡏⣿⣿⠸⣿⣿⢸⣿⣿⢸⣿⣿⠉⠁⣿⣿⡏⣿⣿⠀⠀⢰⣿⡟⢹⣿⡇⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⢸⣿⣿⢰⣿⣿⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⢸⣿⡇⠀⠀⠀⠘⠿⣿⣷⣦⠀⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⣸⣿⡟⢸⣿⣿⣶⡆⣿⣿⣷⣿⣿⣤⣶⣿⣿⣿⣿⣿⡃⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⣸⣿⣿⣸⣿⣿⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⢸⣿⡇⠀⠀⠀⢰⣶⡎⣿⣿⡇⠀⠀⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⡇⣸⣿⣿⣿⣆⣿⣿⡇⣿⣿⠛⠛⠛⣿⣿⡿⠍⣰⣦⡀⣿⣿⡇⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⡦⠀⠀⠀⠀⠀⠰ ⠀⠀⠀⠀⠀⠸⠿⠇⠀⠸⠿⠇⠀⠀⠀⠘⠿⢿⡿⠟⠁⠀⠀⠙⠿⣿⠿⠟⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣤⣤⣼⣿⣿⣿⡿⠏⣿⣧⠙⠿⢿⠿⠟⠀⠻⢿⣿⣿⣿⠋⠻⠿⡿⠿⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣯⣽⣯⣟⣿⣿⣿⣿⣿⠾⠭⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠛⠃⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠘⠟⠀⠀⠀⠀⠀⠻⡿⠅⠀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⣭⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⡄⢀⣀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠸⠿⠀⠀⠀⠀⠀⠸⠆⠀⠀⠀⠀⠀⠶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢀⣾⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣤⣄⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠉⢀⠀⠀⠉⠉⠀⠀⣀⠀⠐⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⡗⢸⣿⠟⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣷⠀⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⠀⣀ ⠀⠀⠈⠛⠋⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠘⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠛⠁⠀⠀⠀⠀⠀⠛⠀⠰⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⠇⠈⠇⠀⠀⠀⠀⠃⠀⠀⠀⠈⠿⣿⣿⠀⠀⠀⠀⠈⢿⣿⠃⠀⠀⠀⠸⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡟⢛⣻⣿⣿⣿⣿⡿⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣤⡄⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢠⡄⠀⠀⠄⢀⣠⣤⣄⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⡵⣴⣼⡇⡀⠀⠀⢀⣤⣄⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⣨⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠘⢛⣿⣿⣄⠀⢻⣿⣿⣿⣿⣿⠼⣹⣿⣿⣿⣟⣿⣄⡀⠈⠿⠋⠀⠀⠀⠀⠈⠛⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠙ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⢀⣠⠀⠀⠙⠛⠃⠁⢀⣼⣿⣿⣟⣋⣒⣾⣿⣿⣿⠏⣔⣿⣿⣿⣶⣶⣤⣀⠀⠀⣶⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡄⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⢀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠀⠘⠿⠁⠋⠉⠛⢻⣿⣿⣷⣿⣿⣿⡄⠀⠀⠀⠀⢀⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠈⠉⠛⠛⠃⠀⠀⠀⠀⠘⠛⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⢀⡀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣿⣿⠀⠀⠀⠀⣾⣿⣿⡧⠀⠀⣀⣤⣶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠄⠄⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡶⢶⣶⣶⣶⣶⣤⣤⣤⣄⣀ ⠀⠀⠀⠉⠉⠀⠀⠀⠀⢿⣿⣿⣷⡶⡏⢿⣾⠻⠋⢿⢹⣶⣤⡀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠁⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢘⠀⠀⠀⠀⠀⠀⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢀⣠⣤⡀⠀⠀⠀⠘⣛⠋⠉⠁⠁⠈⠁⠀⠀⠘⡈⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠠⢀⠄⠀⠁⠉⠀⠠⠀⠁⠀⠀⠀⠀⠀⠨⠀⠀⠀⠀⠀⠀⠋⠹⠋⠍⠉⠋⠛⠻⠿⠿⠿ ⠀⠛⠉⠝⠛⠛⠃⠛⣻⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣤⡄⣤⣤⣤⣤⣤⣤⣤⢀⣤⣴⣤⣄⠀⠀⠀⢀⣤⣶⣤⡄⢠⣤⣤⢀⣤⣤⢤⣤⣤⣤⡄⣤⣤⣤⣤⣄⠀⠀⠀⣠⣤⣤⣄⠀⠀⠀⢀⣤⣶⣦⣄⠀⣠⣴⣶⣤⡀⠀⣠⣴⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠉⢻⣿⡟⠉⢻⡟⢼⣿⣏⠿⠿⠆⠀⠀⣿⣿⡏⣿⣿⠸⣿⣿⢸⣿⣿⢸⣿⣿⠉⠁⣿⣿⡏⣿⣿⠀⠀⢰⣿⡟⢹⣿⡇⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⢸⣿⣿⢰⣿⣿⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⢸⣿⡇⠀⠀⠀⠘⠿⣿⣷⣦⠀⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⣸⣿⡟⢸⣿⣿⣶⡆⣿⣿⣷⣿⣿⣬⣞⣿⣿⣿⣿⣿⠃⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⣸⣿⣿⢸⣿⣿⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⢸⣿⡇⠀⠀⠀⢰⣶⡎⣿⣿⡇⠀⠀⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣇⣸⣿⣿⣿⣇⣿⣿⡇⣿⣿⠛⠛⠛⣿⣿⡿⠉⣰⣤⠀⣿⣿⡇⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⡦⠀⠀⠀⠀⠀⠤ ⠀⠀⠀⠀⠀⠸⠿⠇⠀⠸⠿⠇⠀⠀⠀⠘⠿⢿⡿⠟⠁⠀⠀⠙⠿⣿⠿⠟⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣤⣤⣼⣿⣿⣿⡿⠏⣿⣇⠙⠿⢿⠿⠟⠀⠻⢿⣿⣿⣿⠋⠻⠿⡿⠿⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣽⣿⣿⣿⣿⣿⣷⡴⢭⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠛⠃⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠓⠀⠀⠀⠀⠀⠻⡿⠀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⠀⠀⠀⠀⠀⢰⡆⠀⠀⠀⠀⠀⠶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⢻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢠⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣤⣄⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠉⢀⣄⠀⠀⠀⠀⠀⠀⣀⡀⢠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⠟⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣷⡀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⣀ ⠀⠀⠘⠟⠏⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠈⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠿⠛⠀⠀⠀⠀⠀⠀⠛⠁⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⠁⠈⠁⠀⠀⠀⠀⠁⠀⠀⠀⠈⢿⣿⣿⠁⠀⠀⠀⠈⢿⣿⠁⠀⠀⠀⠘⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡛⠛⣿⣿⣿⣿⣿⡏⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⢀⡀⠀⠀⢄⠀⢠⣤⣄⠀⠘⣿⣷⣿⣿⣿⣿⣿⣿⣔⣴⢸⡆⡀⠀⠀⢀⣤⣄⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠀⠀⠀⠀⢀⣨⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠺⣟⣿⣯⣄⠀⢿⣿⣿⣿⣿⣧⠟⣻⣿⣿⣿⠯⣿⣄⠀⠘⠿⠃⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠙ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠐⠂⠀⠀⠀⠀⠀⣤⠀⠘⠻⠛⠊⠀⢠⣿⣿⣿⡻⣙⣲⣿⣿⣿⣿⠏⣨⣿⣿⣷⣶⣶⣤⣀⠀⠀⣶⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡄⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠘⠟⠑⠈⠙⠛⣿⣿⣿⣶⣿⣿⣿⡀⠀⠀⠀⠀⢀⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠠⠀⠀⠀⠀⠀⠀⠉⠀⠉⠉⠛⠛⠃⠀⠀⠀⠀⠘⠛⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⢀⡀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣿⣿⠀⠀⠀⠀⣿⣿⣿⡧⠀⠀⣀⣤⣤⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠄⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡶⢶⣶⣶⣶⣦⣤⣤⣤⣄⣀ ⠀⠀⠀⠉⠉⠀⠀⠀⠀⣻⣿⣿⣷⡶⡟⢿⣾⠻⠛⢿⢰⣦⣄⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⡐⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠁⠀⠄⠀⠀⡇⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠈⣿⡷⣿⣻⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢀⣠⣄⡀⠀⠀⠀⠘⣻⠛⠉⠁⠁⠈⠁⠀⠀⠘⡈⠉⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠠⢀⠄⠀⠁⠁⠀⠠⠀⠁⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠋⠹⢋⠉⠋⠛⠛⠻⠿⠿⢿ ⠀⠛⠉⠝⠛⠛⠃⠛⣻⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣤⡄⣤⣤⣤⣤⣤⣤⣤⢀⣤⣴⣤⣄⠀⠀⠀⢀⣤⣤⣤⡄⢠⣤⣤⢀⣤⣤⢤⣤⣤⣤⡄⣤⣤⣤⣤⣄⠀⠀⠀⣠⣤⣤⣄⠀⠀⠀⢀⣤⣶⣦⣄⠀⣠⣴⣶⣤⡀⠀⣠⣴⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠉⢻⣿⡟⠉⢻⡟⢼⣿⣏⠿⠿⠄⠀⠀⣿⣿⡋⣿⣿⠸⣿⣿⢸⣿⣿⢸⣿⣿⠉⠁⣿⣿⡏⣿⣿⠀⠀⢰⣿⡟⢹⣿⡇⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⢸⣿⣿⢰⣿⣿⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⢸⣿⡇⠀⠀⠀⠘⠿⣿⣷⣦⠀⠀⠀⣿⣿⡄⣿⣿⠀⣿⣿⣸⣿⡟⢸⣿⣿⣶⡆⣿⣿⣷⣿⣿⣬⣼⣿⣿⣿⣿⣿⠃⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⣸⣿⣿⢸⣿⣿⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⢸⣿⡇⠀⠀⠀⢰⣶⡎⣿⣿⡇⠀⠀⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣧⣼⣿⣿⣿⡇⣿⣿⡇⣿⣿⠛⠛⠻⣿⣿⡿⠉⣐⣠⠀⣿⣿⡇⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⡦⠀⠀⠀⠀⠀⠤ ⠀⠀⠀⠀⠀⠸⠿⠇⠀⠸⠿⠇⠀⠀⠀⠘⠿⢿⠿⠟⠁⠀⠀⠙⠿⡿⠿⠛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣧⣿⣿⣤⣤⣼⣿⣿⣿⠿⠏⣿⣇⠙⠿⢿⠿⠟⠀⠻⢿⣿⣿⣿⠋⠻⠿⡿⠿⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢉⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠛⢻⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢀⡁⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡷⠀⠀⠀⠀⠀⠲ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⢣⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣰⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣤⡄⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⢀⣤⠀⠀⠀⠀⠀⠀⠉⠙⠋⠉⣠⣿⣶⠀⠀⠀⠀⠀⠀⣀⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣷⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠛⠓⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠿⠿⠛⠀⠀⠀⠀⠀⠀⠛⠁⢿⣿⣿⣷⣾⣿⣿⣿⣿⣿⡟⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣿⣿⠀⠀⠀⠀⠀⠿⠿⠀⠀⠀⠀⠀⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣟⠛⢻⣿⣿⣿⣿⣿⠃⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⠀⠀⠀⠀⠀⢀⡀⠀⢀⡀⠀⠀⣤⣄⠀⢹⣿⣿⣿⣿⣿⣿⣿⣯⣢⣦⣼⡀⠀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠵⢾⢿⣿⣿⣯⡀⠸⣿⣿⣿⣿⣿⠾⢏⣿⣿⣿⣿⣳⣣⣄⠀⠀⠛⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠈⠛⠗⠉⠀⣠⣿⣿⣟⢫⣳⣼⣿⣿⣿⡿⠁⣨⣿⡿⣷⣶⣦⣤⣀⠀⠀⣾⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠄⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠈⠁⠀⠈⠋⠛⢿⣿⣿⣶⣿⣿⣿⡀⠀⠀⠀⠀⢀⣄⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⠉⠙⠛⠁⠀⠀⠀⠀⠘⠋⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⣀⡀⠀⠀⠀⠀⢠⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣿⣿⠀⠀⠀⠀⣾⣿⣿⡧⠀⢀⣀⣀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠄⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⡶⢶⣶⣶⣶⣶⣦⣤⣤⣄⣀ ⠀⠀⠀⠉⠁⠀⠀⠀⠀⣿⣿⣿⣷⡖⠏⢷⣾⠛⠀⢠⢀⣀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⣐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⢸⣿⠵⣟⣻⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢀⣤⣄⡀⠀⠀⠀⢘⣿⠋⠉⠁⠀⠀⠀⠀⠀⠈⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠠⠂⠄⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠋⠩⠋⠉⠉⠛⠛⠻⠿⠿⠿ ⠀⠛⠉⠝⠛⠛⠃⠛⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣤⡄⣤⣤⣤⣤⣤⣤⣤⢀⣤⣴⣤⣄⠀⠀⠀⢀⣤⣤⣤⡄⢠⣤⣤⢀⣤⣤⢤⣤⣤⣤⡄⣤⣤⣤⣤⣄⠀⠀⠀⣠⣤⣤⣄⠀⠀⠀⢀⣤⣶⣤⣄⠀⣠⣴⣶⣤⡀⠀⣠⣴⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠉⢻⣿⡟⠉⢻⡟⢼⣿⣏⠿⠿⠄⠀⠀⣿⣿⠋⣿⣿⠸⣿⣿⢸⣿⣿⢸⣿⣿⠉⠁⣿⣿⡏⣿⣿⠀⠀⢰⣿⣟⢹⣿⡇⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⢸⣿⣿⢰⣿⣿⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⢸⣿⡇⠀⠀⠀⠘⠿⣿⣷⣦⠀⠀⠀⣿⣿⡄⣿⣿⡀⣿⣿⣸⣿⡟⢸⣿⣿⣶⡆⣿⣿⣷⣿⣿⣬⣵⣿⣿⣿⣿⣿⠇⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⣸⣿⣿⢸⣿⣿⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⢸⣿⡇⠀⠀⠀⢰⣶⡎⣿⣿⡇⠀⠀⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣧⣼⣿⣿⣿⡇⣿⣿⡇⣿⣿⠛⠙⠛⣿⣿⡿⠅⣰⣠⡀⣿⣿⡇⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⠦⠀⠀⠀⠀⠀⠰ ⠀⠀⠀⠀⠀⠸⠿⠇⠀⠸⠿⠇⠀⠀⠀⠘⠿⢿⠿⠟⠁⠀⠀⠙⠿⢿⠿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣧⣿⣿⣦⣴⣾⣿⣿⣿⠿⠇⣿⣇⠙⠿⢿⠿⠟⠀⠻⢿⣿⣿⣿⠋⠻⠿⡾⠿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⢉⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⡷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢈⡁⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠷⠀⠀⠀⠀⠀⠺ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠉⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣰⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣴⣦⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢀⣤⠀⠀⠀⠀⠀⠈⠙⠛⠉⢉⣼⣿⣦⡀⠀⠀⠀⠀⠀⣤⡀⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣾⠀⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⣀ ⠀⠀⠈⠛⠛⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠟⠛⠀⠀⠀⠀⠀⠀⠛⠁⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣿⡿⠀⠀⠀⠀⠀⠻⠿⠀⠀⠀⠀⠀⠻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣟⠛⣻⣿⣿⣿⣿⣿⠁⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣦⠀⠀⠀⠀⠀⢀⡀⠀⣀⠀⠀⠀⣤⡄⠀⢿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣖⣿⣀⠀⠀⠀⠀⣤⡄⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠠⠽⡿⢿⣿⣿⣥⡀⠸⣿⣿⣿⣿⣿⠿⣫⣿⣿⣿⡿⣻⣧⣄⠀⠀⠛⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠘⠛⠓⠁⠀⣴⣿⣿⣟⢫⣚⣿⣿⣿⣿⡿⠡⣸⣿⠟⠿⣶⣶⣤⣀⠀⠀⣾⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠈⠀⠀⠀⠉⠙⢿⣿⣿⣷⣿⣿⣿⡄⠀⠀⠀⠀⢠⣄⠀⠀⠀⠀⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠀⠀⠀⠀⠀⠈⠋⠀⠀⠀⠀⠀⠉ ⠀⠀⠀⣀⡀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⠆⠀⠀⠀⣼⣿⣿⡦⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡷⢶⣶⣶⣶⣶⣶⣦⣤⣤⣤ ⠀⠀⠀⠉⠁⠀⠀⠀⠀⢿⣿⣿⣷⡞⡏⢳⣾⠲⠀⢠⢀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⢵⣟⣻⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢀⣤⣤⡀⠀⠀⠀⢘⣟⠉⠉⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠠⠀⠄⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠩⠋⠈⠉⠉⠛⠛⠛⠿⠿ ⠀⠛⠉⠝⠉⠛⠃⠛⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣤⡄⣤⣤⣤⣤⣤⣤⣤⢀⣤⣤⣤⣄⠀⠀⠀⢀⣤⣤⣤⡄⢠⣤⣤⢀⣤⣤⢤⣤⣤⣤⡄⣤⣤⣤⣤⣄⠀⠀⠀⣠⣤⣤⣄⠀⠀⠀⢀⣤⣶⣤⣄⠀⣠⣴⣶⣤⡀⠀⣠⣴⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠉⢻⣿⡟⠉⢻⡟⢼⣿⣏⠿⠿⠄⠀⠀⣿⣿⠋⣿⣿⠸⣿⣿⢸⣿⣿⢸⣿⣿⠉⠁⣿⣿⡏⣿⣿⢀⠀⢰⣿⣟⢹⣿⡇⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⢸⣿⣿⢰⣿⣿⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⢸⣿⡇⠀⠀⠀⠘⠿⣿⣷⣦⠀⠀⠀⣿⣿⡄⣿⣿⣀⣿⣿⣸⣿⡟⢸⣿⣿⣶⡆⣿⣿⣷⣿⣿⣴⣍⣿⣿⣿⣿⣿⠇⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⣼⣿⣿⢸⣿⣿⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⢸⣿⡇⠀⠀⠀⢰⣶⡎⣿⣿⡇⠀⠀⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣇⣸⣿⣿⢿⠇⣿⣿⡇⣿⣿⠋⠉⠙⣿⣿⡿⠁⣰⣤⠀⣿⣿⡇⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⠿⠇⠀⠸⠿⠇⠀⠀⠀⠘⠿⢿⠿⠟⠁⠀⠀⠙⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢿⣿⣧⣿⣿⣶⣶⣾⣿⣿⣿⠿⠇⣿⣇⠙⠿⢿⠿⠟⠀⠻⢿⣿⣿⡿⠋⠻⠿⡾⠿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣗⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠄⢉⠈⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣵⣿⣿⣿⣿⣿⣿⣿⣿⣟⣥⣶⣿⡿⠗⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣀⡁⠀⠀⠀⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡿⠀⠀⠀⠀⠀⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠃⣺⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣾⣦⡀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⢠⣶⠄⠀⠀⠀⠘⠛⠿⠟⠛⢹⣿⣿⣿⡉⠀⠀⠀⠀⠀⣤⣀⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⡟⢸⣿⠿⠃⠀⠀⠀⢀⠀⠀⠀⢰⣿⣿⣿⡄⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⣀ ⠀⠀⠘⠛⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠉⠁⠀⠀⠀⠀⠀⠛⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠁⠀⠀⠀⠀⠀⠈⠀⠀⠀⠈⠻⠿⠿⠀⠀⠀⠀⠀⠘⠋⠀⠀⠀⠀⠀⠙ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡏⢙⣿⣿⣿⣿⣿⡿⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣕⣶⣇⣷⢀⠀⠀⠀⠀⣤⡀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠼⢿⠷⣶⣲⣯⣅⠀⢻⣿⣿⣿⣿⡷⢟⣽⣿⣿⣿⠟⢌⣷⣄⠀⠀⠉⠁⠀⠀⠀⠀⣀⠉⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠎⠁⢠⣾⣿⣿⣿⣉⣻⣿⣿⣿⣿⠏⠀⣼⠿⠛⣻⢿⣶⣤⣀⡀⠀⣾⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⠆⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠙⠀⠀⠀⠉⠙⢿⡿⠿⣷⣿⣿⣿⡄⠀⠀⠀⠀⢠⣤⠀⠀⠀⠀⠀⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠉ ⠀⠀⢀⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⠇⠀⠀⠀⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⢿⣿⣿⣶⣶⣶⣶⣦⣤⣤ ⠀⠀⠀⠉⠁⠀⠀⠀⠀⣿⣿⣿⣷⡆⠂⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠵⡟⣻⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢠⣴⣦⡄⠀⠀⠀⣘⣛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠠⠀⠄⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠁⠃⠈⠉⠉⠉⠛⠛⠛⠿ ⠀⠛⠁⠍⠋⠙⠃⠉⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣤⡄⣤⣤⣤⣤⣤⣤⣤⢀⣤⣤⣤⣄⠀⠀⠀⢀⣤⣤⣤⡀⢠⣤⣤⢀⣤⣤⢠⣤⣤⣤⡄⣤⣤⣤⣤⣄⠀⠀⠀⣠⣤⣤⣄⠀⠀⠀⢀⣤⣶⣤⣄⠀⣠⣴⣶⣤⡀⠀⣠⣴⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠉⢻⣿⡟⠉⢻⡟⢼⣿⣏⠿⠿⠆⠀⠀⣿⣿⠋⣿⣿⠸⣿⣿⢸⣿⣿⢸⣿⣿⠉⠁⣿⣿⡏⣿⣿⢀⠀⢰⣿⣟⢹⣿⡇⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⢸⣿⣿⢰⣿⣿⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⢸⣿⡇⠀⠀⠀⠘⠿⣿⣷⣤⠀⠀⠀⣿⣿⡀⣿⣿⣀⣿⣿⣸⣿⡟⢸⣿⣿⣶⡆⣿⣿⣷⣿⣿⣴⣍⣿⣿⣿⣿⣿⠇⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⣼⣿⣿⢸⣿⣿⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⢸⣿⡇⠀⠀⠀⢰⣶⡎⣿⣿⡇⠀⠀⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⠇⣿⣿⡇⣿⣿⠋⠉⠙⣿⣿⡿⠁⢰⣤⠀⣿⣿⡇⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⠿⠇⠀⠸⠿⠇⠀⠀⠀⠘⠿⢿⠿⠟⠁⠀⠀⠙⠿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠇⢿⣿⣷⣿⣿⣶⣶⣾⣿⣿⣿⠿⠇⣿⣇⠙⠿⢿⠿⠟⠀⠻⢿⣿⣿⡿⠋⠻⠿⡾⠿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣻⣷⡀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⢉⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢛⣿⣿⣿⣿⣿⣿⣿⣿⡿⣋⣤⣶⣿⠿⢱⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣈⡀⠀⠀⠀⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠿⠀⠀⠀⠀⠀⠻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⢠⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⡟⠁⣾⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣶⣶⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⢠⣶⠀⠀⠀⠀⠿⠿⢿⠿⠟⣻⣿⣿⣿⡉⠁⠀⠀⠀⠀⣤⢸⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⡇⢸⣿⠟⠁⠀⠀⠀⣀⠀⠀⠀⢸⣿⣿⣿⡀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⢀ ⠀⠀⠘⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠉⠀⠀⠀⠀⠀⠀⠉⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠈⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠈⠻⠿⠿⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠙ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡋⢙⣿⣿⣿⣿⣿⡏⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡄⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⣴⡄⠘⣿⣿⣿⣿⣿⣿⣿⣿⣤⣶⣆⣷⢀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⢀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣷⢶⡶⣤⣍⣀⠀⢿⣿⣿⣿⣿⡿⣛⣿⣿⣿⣿⠟⢼⣦⣄⠀⠀⠉⠀⠀⠀⠀⠀⣈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠎⠁⣠⣾⣿⣿⣯⣎⣿⣿⣿⣿⣿⠏⠀⢼⠿⠋⠿⢿⣶⣤⣀⡀⠀⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠰⠆⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠙⢿⠿⠿⣷⣿⣿⣿⡄⠀⠀⠀⠀⢠⣦⠀⠀⠀⠀⠀⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠉ ⠀⠀⠀⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⠆⠀⠀⠀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⢿⣿⣿⣶⣶⣶⣶⣦⣤⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠵⡟⣻⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢠⣤⣦⡄⠀⠀⠀⣈⣛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠠⠀⠄⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠃⠀⠉⠉⠉⠙⠛⠛⠛ ⠀⠛⠁⠍⠉⠙⠃⠉⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣤⡄⣤⣤⣤⣤⣤⣤⣤⢀⣤⣤⣤⣄⠀⠀⠀⢀⣤⣤⣤⡄⢠⣤⣤⢀⣤⣤⢤⣤⣤⣤⡄⣤⣤⣤⣤⣄⠀⠀⠀⣠⣤⣤⣄⠀⠀⠀⢀⣤⣶⣤⣄⠀⣠⣴⣶⣤⡀⠀⣠⣴⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠉⢻⣿⡟⠉⢻⡟⢼⣿⣏⠿⠿⠄⠀⠀⣿⣿⠋⣿⣿⠸⣿⣿⢸⣿⣿⢸⣿⣿⠉⠁⣿⣿⡏⣿⣿⠀⠀⢰⣿⣟⢹⣿⡇⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⢸⣿⣿⢰⣿⣿⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⢸⣿⡇⠀⠀⠀⠘⠿⣿⣷⣦⠀⠀⠀⣿⣿⡀⣿⣿⣀⣿⣿⣸⣿⡟⢸⣿⣿⣶⡆⣿⣿⣷⣿⣿⣤⣭⣿⣿⣿⣿⣿⠃⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⣼⣿⣿⢸⣿⣿⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⢸⣿⡇⠀⠀⠀⢰⣶⡎⣿⣿⡇⠀⠀⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⠇⣿⣿⡇⣿⣿⠋⠉⠛⣿⣿⡿⠁⣐⣄⠀⣿⣿⡇⣿⣿⠀⣿⣿⣿⣿⣿⣾⣿⣿⢸⣿⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⠿⠇⠀⠸⠿⠇⠀⠀⠀⠘⠿⢿⠿⠟⠁⠀⠀⠙⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⡼⠿⠿⠿⠇⢿⣿⣧⣿⣿⣶⣶⣾⣿⣿⣿⠿⠇⣿⡇⠙⠿⢿⠿⠟⠀⠻⢿⣿⣿⡿⠉⠻⠿⡾⠿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⢀⣤⡀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⢉⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠃⠘⠿⢳⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣀⡀⠀⠀⠘⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡿⠀⠀⠀⠀⠀⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣿⣧⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⢰⣶⡄⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡉⠀⠀⠀⠀⢀⣤⢸⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⡇⢸⣿⠟⠁⠀⠀⠀⣀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⢀ ⠀⠀⠙⠛⠋⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠈⠛⠁⠀⠀⠛⠛⠛⠛⠋⠉⠈⠛⠋⠉⠁⠀⠀⠀⠀⠀⠉⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⠁⠀⠀⠀⠀⠀⠋⠁⠀⠀⠈⠻⠿⠿⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠙ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡉⣛⣿⣿⣿⣿⣿⠇⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⣶⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣠⣶⣺⣇⣄⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⢠⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⣶⣶⣤⣤⢤⣀⣉⡀⠘⢿⣿⣿⣿⣿⠾⣫⣾⣿⣿⣿⠇⣿⣦⣀⠀⠀⠁⠀⠀⠀⠀⠀⣈⠉⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠸⠿⠌⠉⠀⣴⣿⣿⣿⡟⣒⣿⣿⣿⣿⣿⠃⠀⡴⠟⠛⠿⣷⣶⣤⣀⡀⠀⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠲⠆⠀⠀⠀⠀⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠈⠻⠿⠿⠿⣷⣿⣿⣿⡄⠀⠀⠀⠀⢠⣤⠀⠀⠀⠀⠀⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠉ ⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡿⢿⣿⣿⣷⣶⣶⣶⣦⣤⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⠵⡟⣻⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⣤⣤⡀⠀⠀⠀⣈⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠠⠀⠄⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠉⠂⠈⠉⠉⠉⠙⠛⠛⠻ ⠀⠛⠀⠝⠋⠛⠃⠉⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣤⡄⣤⣤⣤⣤⣤⣤⣤⢀⣤⣤⣤⣄⠀⠀⠀⢀⣤⣤⣤⡄⢠⣤⣤⢀⣤⣤⢤⣤⣤⣤⡄⣤⣤⣤⣤⣄⠀⠀⠀⣠⣤⣤⣄⠀⠀⠀⢀⣤⣶⣤⣄⠀⣠⣴⣶⣤⡀⠀⣠⣴⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠉⢻⣿⡟⠉⢻⡟⢼⣿⣏⠿⠿⠆⠀⠀⣿⣿⠋⣿⣿⠸⣿⣿⢸⣿⣿⢸⣿⣿⠉⠁⣿⣿⡏⣿⣿⠀⠀⢰⣿⣟⢹⣿⡇⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⢸⣿⣿⢰⣿⣿⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⢸⣿⡇⠀⠀⠀⠘⠿⣿⣷⣦⠀⠀⠀⣿⣿⠂⣿⣿⣀⣿⣿⣸⣿⡟⢸⣿⣿⣶⡆⣿⣿⣷⣿⣿⣬⣨⣿⣿⣿⣿⣿⠃⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⣼⣿⣿⢸⣿⣿⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⢸⣿⡇⠀⠀⠀⢰⣶⡎⣿⣿⡇⠀⠀⣿⣿⡆⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⡿⠃⣿⣿⡇⣿⣿⠋⠉⠛⣿⣿⡿⠁⣐⣄⠀⣿⣿⡇⣿⣿⠀⣿⣿⣿⣿⣿⣾⣿⣿⢸⣿⣿⠆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⠿⠇⠀⠸⠿⠇⠀⠀⠀⠘⠿⢿⠿⠟⠁⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠸⠿⠿⠿⠇⢿⣿⣧⣿⣿⣦⣴⣾⣿⣿⡿⠿⠇⣿⡇⠙⠿⢿⠿⠟⠀⠻⢿⣿⣿⡿⠉⠻⠿⡾⠿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣆⡀⠀⢀⣤⡀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠉⠁⠀⠀⢀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⠀⠀⠀⠀⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠘⠻⢹⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣀⠀⠀⠀⠸⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠟⠀⠀⠀⠀⠀⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⢀⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣶⣦⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⢰⣶⡄⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⣄⢸⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⠇⣺⣿⠟⠁⠀⠀⠀⣄⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⠛⠋⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠈⠛⠁⠀⠸⣿⣿⣿⡿⠟⠋⠈⠛⠋⠉⠁⠀⠀⠀⠀⠈⠉⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠈⠁⠀⠀⠀⠀⠈⠛⠁⠀⠀⠈⠻⠿⠿⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠙ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡋⣛⣿⣿⣿⣿⣿⠇⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⢠⣶⡄⢸⣿⣿⣿⣿⣿⢿⣿⡯⣠⣶⣸⡇⡄⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⢠⣤⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢈⣶⣤⣤⡤⣀⣀⣉⣀⠸⣿⣿⣿⣿⣿⠞⣫⣾⣿⣿⣿⠃⠭⣦⡀⠀⠀⠀⠀⠀⠀⠀⢀⣉⠉⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠁⠁⠁⠠⡦⠉⠉⢀⣴⣿⣿⣿⣿⣟⣿⣿⣿⣿⡿⠃⠀⡉⠛⠛⢻⣷⣦⣄⣀⠀⠀⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠶⠆⠀⠀⠀⠀⢿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠉⠙⠿⠿⢿⣶⣿⣿⣿⡄⠀⠀⠀⠀⢠⣄⠀⠀⠀⠀⠀⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡿⢿⣿⣿⣶⣶⣶⣶⣦⣤⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⣿⣧⠵⡟⣻⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⣤⣄⡀⠀⠀⠀⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠠⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠂⠀⠈⠉⠉⠛⠛⠛⠻ ⠀⠛⠁⠝⠉⠙⠃⠁⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣤⡄⣤⣤⣤⣤⣤⣤⣤⢀⣤⣤⣤⣄⠀⠀⠀⢀⣤⣤⣤⡄⢠⣤⣤⢀⣤⣤⢠⣤⣤⣤⡄⣤⣤⣤⣤⣄⠀⠀⠀⣠⣤⣤⣄⠀⠀⠀⢀⣤⣶⣤⣄⠀⣠⣴⣶⣤⡀⠀⣠⣴⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠉⢻⣿⡟⠉⢻⡟⢼⣿⣏⠿⠿⠄⠀⠀⣿⣿⠋⣿⣿⠸⣿⣿⢸⣿⣿⢸⣿⣿⠉⠁⣿⣿⡏⣿⣿⡀⠀⢰⣿⣏⢹⣿⡇⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⢸⣿⣿⢰⣿⣿⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⢸⣿⡇⠀⠀⠀⠘⠿⣿⣷⣤⠀⠀⠀⣿⣿⠀⣿⣿⣀⣿⣿⣸⣿⡟⢸⣿⣿⣶⡆⣿⣿⣿⣿⣿⣌⣨⣿⣿⣿⣿⣿⠃⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⣼⣿⣿⢸⣿⣿⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⢸⣿⡇⠀⠀⠀⢰⣶⡎⣿⣿⡇⠀⠀⣿⣿⡀⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⠿⠂⣿⣿⡇⣿⣿⠋⠙⠋⣿⣿⡿⠁⣂⡀⠀⣿⣿⡇⣿⣿⠀⣿⣿⣿⣿⣿⣼⣿⣿⢸⣿⣿⠂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⠿⠇⠀⠸⠿⠇⠀⠀⠀⠘⠿⠿⠿⠟⠁⠀⠀⠙⠿⠿⠿⠟⠛⠻⠿⠿⠿⠃⠸⠿⠿⠿⠇⣿⣿⣧⣿⣿⣦⣶⣾⣿⣿⡿⠿⠇⣿⡇⠙⠿⢿⠿⠟⠀⠻⢿⣿⣿⡿⠈⠻⠿⡾⠿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣶⣶⣶⣶⣦⣀⡀⠀⠀⠀⠀⠀⣀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠉⠁⠀⠀⣠⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡀⠀⠀⠀⠀⢀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⠟⢻⣿⡿⠃⠀⠀⠀⠀⠘⠛⢺⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⣀⠀⠀⠀⠹⠿⠇⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠸⣿⡗⠀⠀⠀⠀⠸⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢠⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣴⣶⣦⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⣴⣦⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⠀⠀⠀⠀⠀⢀⡄⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⠏⠀⠀⠀⢠⣤⠀⠀⠀⣼⣿⣿⣷⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠙⠛⠋⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠙⠋⣾⣿⣿⣿⣿⣿⠿⠋⠁⠈⠛⠉⠉⠀⠀⠀⠀⠀⠈⠁⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠉⠀⠀⠀⠀⠀⠘⠛⠃⠀⠀⠘⠿⡿⠿⠀⠀⠀⠀⠀⠛⠃⠀⠀⠀⠀⠀⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣟⣙⣻⣿⣿⣿⣿⣿⠁⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⣴⡆⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡀⠀⠀⠀⠀⢰⣶⡆⣿⣿⣿⣿⣿⡿⣿⣿⣇⣴⣶⢸⡄⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⣤⣤⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣨⣄⣀⣀⣀⡀⠈⠉⠁⠸⣿⣿⣿⣿⡷⢛⣣⣿⣿⣿⡿⠁⢥⣄⠀⠀⠀⠁⠀⠀⠀⠀⢀⣙⡋⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⠋⠉⠉⢂⠉⠉⠁⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⡸⠋⠙⠷⣶⣤⣀⡀⠀⢰⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠶⠆⠀⠀⠀⠈⢿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠉⠉⠿⠿⢷⣦⣿⣿⣿⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⣠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠉ ⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⢿⣿⣶⣶⣶⣶⣶⣤⣤⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⠵⡟⣻⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⣠⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠠⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠉⠁⠃⠈⠉⠉⠉⠛⠛⠛⠻ ⠀⠛⠁⠝⠁⠙⠁⢑⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣤⡄⣤⣤⣤⣤⣤⣤⣤⢀⣤⣤⣤⣄⠀⠀⠀⢀⣤⣤⣤⡄⢠⣤⣤⢀⣤⣤⢠⣤⣤⣤⡄⣤⣤⣤⣤⣄⠀⠀⠀⣠⣤⣤⣄⠀⠀⠀⢀⣤⣶⣤⣄⠀⣠⣴⣶⣤⡀⠀⣠⣴⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠉⢻⣿⡟⠉⢻⡟⢼⣿⡏⠿⠿⠄⠀⠀⣿⣿⠋⣿⣿⠸⣿⣿⢸⣿⣿⢸⣿⣿⠉⠁⣿⣿⡏⣿⣿⡀⠀⢰⣿⣏⢹⣿⡇⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⢸⣿⣿⢰⣿⣿⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⢸⣿⡇⠀⠀⠀⠘⢿⣿⣷⣤⠀⠀⠀⣿⣿⠀⣿⣿⣀⣿⣿⣸⣿⡟⢸⣿⣿⣶⡆⣿⣿⣿⣿⣿⣬⣸⣿⣿⣿⣿⣿⠃⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⣼⣿⣿⢸⣿⣿⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⢸⣿⡇⠀⠀⠀⢰⣾⡎⣿⣿⡇⠀⠀⣿⣿⡀⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⠿⠀⣿⣿⡇⣿⣿⠋⠙⠋⣿⣿⡿⠁⣂⡀⠀⣿⣿⡇⣿⣿⠀⣿⣿⣿⣿⣿⣼⣿⣿⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⠿⠇⠀⠸⠿⠇⠀⠀⠀⠘⠿⠿⠿⠟⠁⠀⠀⠙⠿⠿⠿⠟⠛⠻⠿⠿⠿⠃⠸⠿⠿⠿⠇⣿⣿⣷⣿⣿⣷⣶⣾⣿⣿⠿⠿⠇⣿⡇⠙⠿⢿⠿⠟⠀⠻⢿⣿⣿⡟⠈⠻⠿⡾⠿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣤⣄⠀⠀⣀⠀⠀⠀⠀⠀⠀⡀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠉⠀⠀⠀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣄⠀⠀⠀⠀⢀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⢀⣴⣿⣿⣿⣿⣿⠿⣿⣶⡿⠛⠀⠀⠀⠀⠀⠈⠋⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢀⣀⠀⠀⠀⠿⢿⠇⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠘⢿⡟⠀⠀⠀⠀⠘⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⢰⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣴⣷⡆⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⢴⣦⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣷⣄⠀⠀⠀⠀⠀⢀⡄⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⠀⣿⡿⠋⠀⠀⠀⢠⣄⡀⠀⠀⣾⣿⣿⣷⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⣀ ⠀⠀⠙⠛⠃⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠈⠁⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠉⠀⠀⠀⠀⠀⠘⠟⠃⠀⠀⠘⠿⡿⠿⠀⠀⠀⠀⠀⠻⠃⠀⠀⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⢿⣿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣏⣉⣿⣿⣿⣿⣿⡿⠁⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⣶⡆⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡄⠀⠀⠀⠀⣴⣶⡆⣿⣿⣿⣿⣿⡿⣿⣿⣅⣴⣶⣻⢀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⣤⣤⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣈⣀⣀⡀⠀⠀⠈⠉⠁⢻⣿⣿⣿⣿⡷⢛⣵⣿⣿⣿⡿⠈⢣⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣝⡋⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀⠀⠙⠛⠉⠉⠉⠙⠉⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠜⠋⠙⠷⣶⣤⣀⡀⠀⢰⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢶⠆⠀⠀⠀⠈⢿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⠿⢷⣦⣿⣿⣿⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡿⢿⣿⣶⣶⣶⣶⣶⣤⣤⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣧⠵⡟⣻⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠠⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠋⠁⠁⠈⠉⠉⠉⠙⠛⠛⠻ ⠀⠛⠀⠍⠋⠘⠂⠙⣿⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣤⡄⣤⣤⣤⣤⣤⣤⣤⢀⣤⣤⣤⣄⠀⠀⠀⢀⣤⣤⣤⡄⢠⣤⣤⢀⣤⣤⢠⣤⣤⣤⡄⣤⣤⣤⣤⣄⠀⠀⠀⣠⣤⣤⣄⠀⠀⠀⢀⣤⣶⣤⣄⠀⣠⣤⣶⣤⡀⠀⣠⣴⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠉⢻⣿⡟⠉⢻⡟⢼⣿⣏⠿⠿⠄⠀⠀⣿⣿⠋⣿⣿⠸⣿⣿⢸⣿⣿⢸⣿⣿⠉⠁⣿⣿⡏⣿⣿⡀⡀⣰⣿⣟⢹⣿⡇⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⢸⣿⣿⢰⣿⣿⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⣸⣿⡇⠀⠀⠀⠘⢿⣿⣷⣤⠀⠀⠀⣿⣿⠀⣿⣿⣄⣿⣿⣸⣿⡟⢸⣿⣿⣶⡆⣿⣿⣿⣿⣿⣇⣽⣿⣿⣿⣿⣿⠃⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⣼⣿⣿⢸⣿⣿⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⢻⣿⡇⠀⠀⠀⢰⣾⡎⣿⣿⡇⠀⠀⣿⣿⡀⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⠟⠀⣿⣿⡇⣿⣿⠉⠙⠋⣿⣿⡿⢁⡠⡀⠀⣿⣿⡟⣿⣿⠀⣿⣿⣿⣿⣿⢸⣿⣿⢸⣿⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⠿⠇⠀⠸⠿⠇⠀⠀⠀⠘⠿⠿⠿⠟⠁⠀⠀⠙⠿⡿⠿⠟⠛⠻⠿⠿⠿⠃⠸⠿⠿⠿⠇⣿⣿⣷⣿⣿⣷⣶⣾⣿⣿⠿⠿⠟⣿⡇⠙⠿⢿⠿⠟⠀⠻⢿⣿⡿⠏⠀⠻⠿⠾⠿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠉⠀⠀⠀⣠⣤⡀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⢀⣤⡀⠀⠀⠀⠀⢀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⣴⣿⣿⣿⣿⣿⣧⣤⣀⣤⠀⠈⠛⠁⠀⠀⠀⠀⠈⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣀⡀⠀⠀⠀⠿⠿⠇⠀⠀⠀⠀⠛⠇⠀⠀⠀⠀⠸⣿⡇⠀⠀⠀⠀⠸⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣟⣋⣹⣿⡿⠁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⣶⡄⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⣾⣿⣧⣀⠀⠀⠀⠀⠀⢠⡄⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⡷⢰⣿⡿⠃⠀⠀⠀⢠⣄⠀⠀⠀⣿⣿⣿⣷⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⢀⣀ ⠀⠀⠙⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠿⠛⠁⠀⠀⠈⠉⠀⠁⠀⠀⠀⠀⠀⠈⠁⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠁⠀⠀⠀⠀⠀⠘⠛⠁⠀⠀⠙⠿⡿⠿⠀⠀⠀⠀⠈⠻⠃⠀⠀⠀⠀⠈⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣍⣩⣿⣿⣿⣿⣿⡟⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣶⠄⠀⠀⠀⠀⠀⣤⠀⠀⠀⠘⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣶⡆⠀⠀⠀⠀⣾⣿⡖⣿⣿⣿⣿⣿⣿⣿⡿⣤⣶⣇⣷⢀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⣤⣤⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⢀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠈⠁⠀⠀⠀⠀⠉⠉⠀⢻⣿⣿⣿⣿⡟⣛⣴⣿⣿⣿⠏⠹⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣝⠋⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠈⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠁⠺⠛⠛⠛⠋⠙⠛⠃⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠟⠋⠻⢶⣦⣄⣀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠶⠀⠀⠀⠀⠀⢿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠈⠙⠿⠿⠿⣶⣬⣿⣿⣷⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⠿⠃⠀⠀⠀⢰⠄⠀⠀⠀⠀⠀⠀⠀⠀⠉⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡿⢿⣿⣿⣶⣶⣶⣶⣤⣤⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣧⠵⡟⣻⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠠⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠉⠁⠂⠀⠉⠉⠉⠛⠛⠛⠻ ⠀⠛⠀⠝⠉⠙⠂⢛⡟⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣤⡄⣤⣤⣤⣤⣤⣤⣤⢀⣤⣤⣤⣄⠀⠀⠀⢀⣤⣤⣤⡄⢠⣤⣤⢀⣤⣤⢠⣤⣤⣤⡄⣤⣤⣤⣤⣄⠀⠀⠀⣠⣤⣤⣄⠀⠀⠀⢀⣤⣶⣤⣄⠀⣠⣤⣶⣤⡀⠀⣠⣴⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠉⢻⣿⡟⠉⢻⡟⢼⣿⡏⠿⠿⠄⠀⠀⣿⣿⠋⣿⣿⠸⣿⣿⢸⣿⣿⢸⣿⣿⠉⠁⣿⣿⡏⣿⣿⡀⡀⣰⣿⣟⢹⣿⡇⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⢸⣿⣿⢰⣿⣿⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⣸⣿⡇⠀⠀⠀⠘⢿⣿⣷⣤⠀⠀⠀⣿⣿⠀⣿⣿⣄⣿⣿⣸⣿⡟⢸⣿⣿⣶⡆⣿⣿⣿⣿⣿⣦⣽⣿⣽⣿⣿⣿⠃⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⣼⣿⣿⢸⣿⣿⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⢻⣿⡇⠀⠀⠀⢰⣿⡏⣿⣿⡇⠀⠀⣿⣿⡀⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⠟⠀⣿⣿⡇⣿⣿⠉⠉⠙⣽⣿⡿⢡⣠⠀⠀⣿⣿⡟⣿⣿⠀⣿⣿⣿⣿⣿⢸⣿⣿⢸⣿⡿⠀⠀⠀⠀⠀⠀⠂ ⠀⠀⠀⠀⠀⠸⠿⠇⠀⠸⠿⠇⠀⠀⠀⠘⠿⠿⠿⠟⠁⠀⠀⠙⠿⠿⠿⠟⠛⠹⠿⠿⠿⠃⠸⠿⠿⠿⢇⣿⣿⣷⣿⣿⣷⣶⣾⣿⣿⠿⠿⠟⣿⡇⠙⠿⢿⠿⠟⠀⠻⢿⣿⡿⠏⠀⠻⠿⡾⠿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⢀⠉⠀⠀⠀⣠⣤⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⢀⣤⡀⠀⠀⠀⠀⢀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣵⣶⣶⣶⣶⣶⣀⡀⢀⡀⠀⠀⠈⠛⠁⠀⠀⠀⠀⠈⠀⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⡇⠀⣀⡀⠀⠀⠀⠻⠿⠃⠀⠀⠀⠀⠻⠇⠀⠀⠀⠀⠸⣿⠇⠀⠀⠀⠀⠸⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⡿⢛⣛⣿⣿⡟⠁⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⣼⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⣶⡄⠀⠀⠀⠀⠀⡄⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⣾⣿⡆⣀⠀⠀⠀⠀⠀⢠⣼⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⡇⢸⣿⠟⠁⠀⠀⠀⢠⣄⠀⠀⠀⣿⣿⣿⣷⠀⠀⠀⠀⠀⣤⡀⠀⠀⠀⠀⢀⣀ ⠀⠀⠉⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⠟⠋⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠈⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠈⠀⠀⠀⠀⠀⠀⠙⠛⠀⠀⠀⠙⢿⣿⠟⠀⠀⠀⠀⠈⠻⠃⠀⠀⠀⠀⠈⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣍⣩⣿⣿⣿⣿⣿⠏⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣶⠆⠀⠀⠀⠀⢠⣤⠀⠀⠿⠿⠟⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⡆⠀⠀⠀⢠⣿⣿⣼⣿⣿⣿⣿⣿⢿⣿⡿⣠⣶⣗⡗⡄⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⣤⡄⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⣀ ⠀⠀⠀⠉⠀⠀⠀⠀⢀⣼⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠈⠁⠀⠀⠀⠀⠙⠋⠀⢻⣿⣿⣿⣿⠞⣫⣾⣿⣿⣿⠃⠹⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣝⠋⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠈⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠉⠿⠟⠛⠛⠙⠻⠟⠋⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠛⠙⠻⣶⣦⣀⡀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠶⠀⠀⠀⠀⠈⠿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠈⠻⠿⡿⣿⣦⣬⣻⣿⣷⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⠿⠃⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠸⠛⢫⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⢿⣿⣷⣶⣶⣶⣶⣤⣤⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣧⠵⠟⣻⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⣀⠀⠀⠀⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠠⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠋⠁⠁⠀⠉⠉⠉⠙⠛⠛⠻ ⠀⠛⠀⠜⠁⠘⠃⢻⣿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣤⡄⣤⣤⣤⣤⣤⣤⣤⢀⣤⣤⣤⣄⠀⠀⠀⢀⣤⣤⣤⡄⢠⣤⣤⢀⣤⣤⢠⣤⣤⣤⡄⣤⣤⣤⣤⣄⠀⠀⠀⣠⣤⣤⣄⠀⠀⠀⢀⣤⣶⣤⣄⠀⣠⣴⣶⣤⡀⠀⣠⣴⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠉⢻⣿⡟⠉⢻⡟⢼⣿⣏⠿⠿⠄⠀⠀⣿⣿⠋⣿⣿⠸⣿⣿⢸⣿⣿⢸⣿⣿⠉⠁⣿⣿⡏⣿⣿⣀⡀⣰⣿⣟⢹⣿⡇⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⢸⣿⣿⢰⣿⣿⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⣸⣿⡇⠀⠀⠀⠘⣿⣿⣷⣤⠀⠀⠀⣿⣿⠀⣿⣿⣄⣿⣿⣸⣿⡟⢸⣿⣿⣶⡆⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⠃⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⣼⣿⣿⢸⣿⣿⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⢻⣿⡇⠀⠀⠀⢰⣿⡏⣿⣿⡇⠀⠀⣿⣿⡂⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⠃⠀⣿⣿⡇⣿⣿⠉⠉⠙⣽⣿⡿⣡⡤⠀⠀⣿⣿⡟⣿⣿⠀⣿⣿⣿⣿⣿⢸⣿⣿⢸⣿⡿⠀⠀⠀⠀⠀⠘⠂ ⠀⠀⠀⠀⠀⠸⠿⠇⠀⠸⠿⠇⠀⠀⠀⠘⠿⠿⠿⠟⠁⠀⠀⠙⠿⠿⠿⠟⠛⠹⠿⠿⠿⠁⠸⠿⠿⠿⢧⣿⣿⣷⣿⣿⣿⣾⣿⣿⣿⠿⠿⠟⣿⡇⠙⠿⢿⠿⠟⠀⠻⠿⣿⡿⠏⠀⠻⠿⡾⠿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢀⠉⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⢀⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⣀⣠⣬⣥⣤⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠁⠀⠀⠀⠀⠈⢸⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⡇⢀⣠⡀⠀⠀⠀⠙⠟⠀⠀⠀⠀⠘⠿⠇⠀⠀⠀⠀⠘⢿⠇⠀⠀⠀⠀⠘⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⠿⠿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⣤⠀⠀⠀⠀⠀⠀⡄⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⣠⡀⠀⠀⢾⣿⠄⡀⠀⠀⠀⠀⠀⣠⣸⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⠇⢸⡿⠟⠀⠀⠀⠀⢠⣄⠀⠀⢰⣿⣿⣿⣷⠀⠀⠀⠀⢀⣤⡀⠀⠀⠀⠀⢀⣤ ⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠀⠀⠀⠻⢿⣿⡏⠀⠀⠀⠀⠘⠻⠃⠀⠀⠀⠀⠘⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣭⣽⣿⣿⣿⣿⣿⠃⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣦⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⡿⠟⠀⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣶⠀⠀⠀⢠⣿⣿⢸⣿⣿⣿⣿⣿⢻⣿⢃⣴⣾⢸⡇⡀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⣤⡄⠀⠀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡈⠉⠁⠀⠀⠀⠀⠙⠋⠘⣿⣿⣿⣿⣿⣛⣡⣾⣿⣿⣾⠃⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣟⠃⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢹⣷⠶⠶⠒⠲⠾⠟⠛⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠸⠟⠻⠶⣶⣤⣀⡀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠰⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠘⠻⣿⡿⣷⣦⣌⣿⣿⣷⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠋⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠻⠿⠃⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡿⢿⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡿⢿⣿⣿⣷⣶⣶⣶⣦⣤⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠁⠁⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣿⣧⠵⠟⣻⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⣀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠠⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠋⠁⠀⠀⠉⠉⠉⠙⠛⠛⠻ ⠀⠛⠁⠌⠉⠘⠃⢹⣿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣤⡄⣤⣤⣤⣤⣤⣤⣤⢀⣤⣤⣤⣄⠀⠀⠀⢀⣤⣤⣤⡄⢠⣤⣤⢀⣤⣤⢠⣤⣤⣤⡄⣤⣤⣤⣤⣄⠀⠀⠀⣠⣤⣤⣄⠀⠀⠀⢀⣤⣶⣤⣄⠀⣠⣴⣶⣤⡀⠀⣠⣴⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠉⢻⣿⡟⠉⢻⡟⢼⣿⣏⠿⠿⠄⠀⠀⣿⣿⠋⣿⣿⠸⣿⣿⢸⣿⣿⢸⣿⣿⠉⠁⣿⣿⡏⣿⣿⣀⡀⣰⣿⡟⢹⣿⡇⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⢸⣿⣿⢰⣿⣿⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⣸⣿⡇⠀⠀⠀⠘⣿⣿⣷⣤⠀⠀⠀⣿⣿⠀⣿⣿⣄⣿⣿⣸⣿⡟⢸⣿⣿⣶⡆⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⠃⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⣼⣿⣿⢸⣿⣿⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⢿⣿⡇⠀⠀⠀⢰⣿⡏⣿⣿⡇⠀⠀⣿⣿⡆⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⠋⠀⣿⣿⡇⣿⣿⠉⠉⠉⣵⣿⡿⣡⠄⠀⠀⣿⣿⡟⣿⣿⠀⣿⣿⣿⣿⣿⢸⣿⣿⢸⣿⡿⠀⠀⠀⠀⠀⠸⠂ ⠀⠀⠀⠀⠀⠸⠿⠇⠀⠸⠿⠇⠀⠀⠀⠘⠿⢿⠿⠟⠁⠀⠀⠙⠿⠿⠿⠟⠛⠹⠿⠿⠿⠃⠸⠿⠿⠿⢷⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⣿⡇⠙⠿⢿⠿⠟⠀⠻⠿⣿⠿⠋⠀⠻⠿⡾⠿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠉⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⢀⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢀⣀⣤⣤⣤⣭⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠁⠀⠀⠀⠀⠈⢸⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⠀⢀⣠⡀⠀⠀⠀⠘⠛⠀⠀⠀⠀⠐⠿⠇⠀⠀⠀⠀⠘⠿⠃⠀⠀⠀⠀⠘⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⣦⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⣠⡀⠀⠀⢾⣿⠀⡀⠀⠀⠀⠀⠀⣠⣼⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⠃⢸⡿⠋⠀⠀⠀⠀⢠⣄⠀⠀⢰⣿⣿⣿⣷⠀⠀⠀⠀⢀⣤⡀⠀⠀⠀⠀⢀⣤ ⠀⠀⠈⠁⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠀⠀⠀⠻⢿⣿⡏⠀⠀⠀⠀⠘⠻⠃⠀⠀⠀⠀⠘⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣤⣽⣿⣿⣿⣿⣿⠃⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢴⣶⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⠇⠀⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡦⠀⠀⠀⢰⣿⣿⢼⣿⣿⣿⣿⣿⣻⡿⢇⣴⣾⢸⣦⡀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⢀⣤⡄⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠿⠛⠉⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡈⠙⠁⠀⠀⠀⠀⠙⠋⠘⣿⣿⣿⣿⡿⣛⣵⣿⣿⣿⡿⠙⠣⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣟⠃⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢻⣷⡶⠶⠖⠲⠶⠟⠛⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠨⠟⠛⢶⣶⣤⣀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠰⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠙⠻⣻⣿⣶⣤⣈⣿⣿⣷⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠉⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠻⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⠿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡿⢿⣿⣿⣷⣶⣶⣶⣦⣤⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣿⣧⠵⠟⣻⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⣀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠠⠀⠄⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠈⠋⠋⠁⠀⠀⠁⠉⠉⠛⠙⠛⠛ ⠀⠛⠁⠌⠁⠘⠃⢹⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣤⡄⣤⣤⣤⣤⣤⣤⣤⢀⣤⣤⣤⣄⠀⠀⠀⢀⣤⣤⣤⡀⢠⣤⣤⢀⣤⣤⢠⣤⣤⣤⡄⣤⣤⣤⣤⣄⠀⠀⠀⣠⣤⣤⣄⠀⠀⠀⢀⣤⣶⣤⣄⠀⣠⣤⣶⣤⡀⠀⣠⣴⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠉⢻⣿⡟⠉⢻⡟⢼⣿⣏⠿⠿⠄⠀⠀⣿⣿⠋⣿⣿⠸⣿⣿⢸⣿⣿⢸⣿⣿⠉⠁⣿⣿⡏⣿⣿⣄⣀⣰⣿⡟⢹⣿⡇⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⢸⣿⣿⢰⣿⣿⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⣼⣿⡇⠀⠀⠀⠘⣿⣿⣷⣤⠀⠀⠀⣿⣿⠀⣿⣿⣄⣿⣿⣸⣿⡟⢸⣿⣿⣶⡆⣿⣿⣿⣿⣿⣶⣿⣿⡿⣿⣿⣿⠃⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⣼⣿⣿⢸⣿⣿⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⢻⣿⡇⠀⠀⠀⢸⣿⡏⣿⣿⡇⠀⠀⣿⣿⡀⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⠋⠀⣿⣿⡇⣿⣿⠀⠉⠁⣵⣿⡿⢥⡄⠀⠀⣿⣿⡟⣿⣿⠀⣿⣿⣿⣿⣿⢸⣿⣿⢸⣿⡿⠀⠀⠀⠀⠀⠸⠃ ⠀⠀⠀⠀⣠⣼⡿⠇⠀⠸⠿⠇⠀⠀⠀⠘⠿⠿⠿⠟⠁⠀⠀⠙⠿⠿⠿⠟⠛⠹⠿⠿⠿⠁⠸⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠟⣿⡇⠙⠿⠿⠿⠟⠀⠻⠿⣿⠿⠋⠀⠻⠿⡾⠿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⣤⣾⣿⣿⣷⣦⣤⡄⠀⠀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⠀⠀⠀⠀⠀⢀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢀⠉⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⣫⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠁⠀⠀⠀⠀⠈⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⣤⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠈⠛⠃⠀⠀⠀⠀⠈⠛⠀⠀⠀⠀⠀⠘⠁ ⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢠⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⣶⡦⠀⠀⠀⠀⢀⣤⠀⠀⠀⠾⠷⠀⡄⠀⠀⠀⠀⠀⣶⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⠀⣿⠿⠋⠀⠀⠀⠀⣠⣄⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⢀⣤⡀⠀⠀⠀⠀⢠⣴ ⠀⠀⠈⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠈⠁⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠻⢿⣿⠟⠀⠀⠀⠀⠈⠛⠁⠀⠀⠀⠀⠘⠛ ⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣤⣾⣿⣿⣿⣿⡿⠁⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⡦⠀⠈⠻⣿⣿⣿⣿⣿⣇⠀⠀⠀⢶⠆⠀⠀⠀⠀⠀⠴⠀⠀⠀⠀⠰⣿⣿⣷⠀⠀⠀⢠⣿⣷⢿⣿⣿⣿⣿⡟⣿⡟⢁⣴⣿⢸⢠⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⣴⡄⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡼⠛⠁⠀⠀⠀⠀⠉⠉⠈⣿⣿⣿⣿⣟⢋⣴⣿⣿⣿⡿⠀⢢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡉⠁⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢿⣷⠖⠶⠖⠶⠾⠟⠋⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠈⠉⠹⠶⣦⣤⣀⠀⠀⠀⢺⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠘⠻⠿⢿⣶⣤⣈⣻⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣤⣄⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠻⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡿⢿⣿⣿⣿⣷⣶⣶⣶⣤⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠙⠀⠉⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⣶⣿⣧⠵⠟⢻⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠠⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠉⠉⠁⠀⠀⠀⠈⠉⠉⠙⠛⠛ ⠀⠛⠀⠌⠁⠘⠂⢹⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣤⡄⣤⣤⣤⣤⣤⣤⣤⢀⣤⣤⣤⣄⠀⠀⠀⢀⣤⣤⣤⡀⢠⣤⣤⠀⣤⣤⢠⣤⣤⣤⡄⣤⣤⣤⣤⣄⠀⠀⠀⣠⣤⣤⣄⠀⠀⠀⢀⣤⣶⣤⣄⠀⣠⣤⣶⣤⡀⠀⣠⣴⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠉⢻⣿⡟⠉⢻⡟⢼⣿⣏⠿⠿⠄⠀⠀⣿⣿⠋⣿⣿⠸⣿⣿⢸⣿⣿⢸⣿⣿⠉⠁⣿⣿⡏⣿⣿⣄⣀⣰⣿⡏⢹⣿⡇⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⢸⣿⣿⢰⣿⣿⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⣼⣿⡇⠀⠀⠀⠘⣿⣿⣷⣤⠀⠀⠀⣿⣿⠀⣿⣿⣤⣿⣿⣸⣿⡟⢸⣿⣿⣶⡆⣿⣿⣿⣿⣿⣶⣿⣿⡿⣿⣿⣿⠃⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⣼⣿⣿⢸⣿⣿⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⢿⣿⡇⠀⠀⠀⢸⣿⡏⣿⣿⡇⠀⠀⣿⣿⡀⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⠋⠀⣿⣿⡇⣿⣿⠀⠉⠉⣽⣿⡿⢥⡄⠀⠀⣿⣿⡗⣿⣿⠀⣿⣿⣿⣿⣿⢸⣿⣿⢸⣿⡿⠀⠀⠀⠀⠀⠘⠃ ⠀⠀⢀⡀⠀⠸⠿⠇⠀⠸⠿⠇⠀⠀⠀⠘⠿⢿⠿⠟⠁⠀⠀⠙⠿⠿⠿⠛⠛⠹⠿⠿⠿⠁⠸⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠟⣿⡇⠙⠿⠿⠿⠟⠀⠻⠿⣿⠿⠋⠀⠻⠿⡾⠿⠃⠀⠀⠀⠀⠀⠀⠀ ⢠⣾⣿⣿⣿⣤⡀⠀⠀⣠⣄⠀⠀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⠀⠀⠀⠀⠀⢀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠉⠀⠀⠀⢀⡀⠀⠀⠀⠀⢀⣄⡀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀ ⣾⣿⣿⣿⣿⣿⣿⣤⣤⠈⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠀⠀⠀⠀⠀⠈⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⣤⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠘⠛⠃⠀⠀⠀⠀⠈⠛⠀⠀⠀⠀⠀⠈⠁ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢠⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⣶⡶⠀⠀⠀⠀⢀⣤⡄⠀⠀⠸⠷⠀⡄⠀⠀⠀⠀⠀⣶⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⡿⠀⣿⠟⠋⠀⠀⠀⠀⢠⣄⠀⠀⢸⣿⣿⣿⣿⠂⠀⠀⠀⢀⣤⡀⠀⠀⠀⠀⢠⣶ ⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠈⠻⣿⣿⡟⠀⠀⠀⠀⠈⠛⠁⠀⠀⠀⠀⠘⠛ ⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣴⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠰⠿⠿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⢴⡆⠀⠀⠀⠀⠀⠴⠀⠀⠀⠀⠰⣿⣿⣷⠀⠀⠀⠠⣿⣷⢿⣿⣿⣿⣿⡟⣿⠟⢡⣶⣿⣻⢀⠀⠀⠀⠀⠀⢠⠄⠀⠀⠀⠀⠠⣴⡆⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡾⠛⠁⠀⠀⠀⠀⠈⠁⠘⣿⣿⣿⣿⣟⢉⣴⣿⣿⣿⡟⠀⢠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⢿⣧⠴⠶⠲⠶⠾⠟⠃⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠈⠉⠙⢷⣦⣄⣀⠀⠀⠀⢾⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠺⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠈⠛⠿⢿⢶⣤⣀⢹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣦⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠻⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡿⢿⣿⣿⣿⣿⣶⣶⣶⣤⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠘⠀⢉⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣧⠵⠏⣻⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠠⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠉⠉⠁⠀⠀⠀⠀⠉⠉⠉⠛⠛ ⠀⠛⠀⠄⠁⠘⠂⢹⣟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣤⡄⣤⣤⣤⣤⣤⣤⣤⢀⣤⣤⣤⣄⠀⠀⠀⢀⣤⣤⣤⡀⢠⣤⣤⠀⣤⣤⢠⣤⣤⣤⡄⣤⣤⣤⣤⣄⠀⠀⠀⣠⣤⣤⣄⠀⠀⠀⢀⣤⣶⣤⣄⠀⣠⣤⣶⣤⡀⠀⣠⣴⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠉⢻⣿⡟⠉⢻⡟⢼⣿⣏⠿⠿⠄⠀⠀⣿⣿⠋⣿⣿⠸⣿⣿⢸⣿⣿⢸⣿⣿⠉⠁⣿⣿⣏⣿⣿⣄⣀⣰⣿⣟⢹⣿⡇⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⢸⣿⣿⢰⣿⣿⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⣼⣿⡇⠀⠀⠀⠘⣿⣿⣷⣤⠀⠀⠀⣿⣿⠀⣿⣿⣤⣿⣿⣼⣿⡟⢸⣿⣿⣶⡆⣿⣿⣿⣿⣿⣶⣿⣿⡿⣿⣿⣿⠃⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⣼⣿⣿⢸⣿⣿⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⢻⣿⡇⠀⠀⠀⢸⣿⡎⣿⣿⡇⠀⠀⣿⣿⡀⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⠃⠀⣿⣿⡇⣿⣿⡀⠁⡁⣽⣿⡿⢥⡄⠀⠀⣿⣿⡟⣿⣿⠀⣿⣿⣿⣿⣿⢸⣿⣿⢸⣿⡿⠀⠀⠀⠀⠀⠘⠋ ⠀⠀⠀⠀⠀⠸⠿⠇⠀⠸⠿⠇⠀⠀⠀⠘⠿⢿⠿⠟⠁⠀⠀⠙⠿⠿⠿⠛⠋⠹⠿⠿⠿⠁⠸⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠟⣿⡇⠙⠿⠿⠿⠟⠀⠻⠿⡿⠿⠋⠀⠻⠿⡾⠿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⡄⠀⠀⠀⠀⠀⣤⡄⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡀⠀⠀⠀⠀⣀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠉⠀⠀⠀⢀⠀⠀⠀⠀⠀⢀⣤⡄⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀ ⣿⣷⣌⡁⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠀⠀⠀⠀⠀⠈⢹⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠀⣠⣤⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠈⠛⠃⠀⠀⠀⠀⠈⠛⠀⠀⠀⠀⠀⠈⠁ ⣿⣿⣿⣿⣄⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣠⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣄⠀⠰⠗⠀⠀⠀⠀⠀⣶⡦⠀⠀⠀⠀⢀⣶⡄⠀⠀⠐⠆⠠⣄⠀⠀⠀⠀⠀⣶⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⡿⠀⣿⠟⠁⠀⠀⠀⠀⢠⣄⠀⠀⢸⣿⣿⣿⣿⡂⠀⠀⠀⢀⣤⡀⠀⠀⠀⠀⣠⣶ ⢿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠙⢹⣿⡿⠿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠈⠿⣿⣿⡟⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠘⠛ ⣶⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣶⣾⣿⣿⣿⣿⡟⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠰⠆⠀⠀⠀⠀⠀⢶⠀⠀⠀⠀⠀⣿⣿⡦⠀⠀⠀⠀⣾⡷⣿⣿⣿⣿⣿⣏⣿⠏⣠⣾⣷⣿⢠⠀⠀⠀⠀⠀⢰⡄⠀⠀⠀⠀⢠⣴⡄⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡞⠋⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣎⣡⣾⣿⣿⣿⠏⠀⢢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡉⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠈⠙⣿⣿⡿⠛⠁⠈⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠟⣿⣷⠶⠲⠶⠶⠿⠛⠁⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠈⠉⠹⢷⣶⣄⣀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠻⠟⠀⠀⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⢿⢶⣤⣀⠹⣿⡇⠀⠀⠀⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣦⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⣿⣿⡿⣿⣿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠘⠀⠙⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣧⠵⠟⢻⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠠⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠉⠋⠁⠀⠀⠀⠀⠈⠉⠉⠉⠛ ⠀⠛⠀⠜⠁⠘⠃⢹⡟⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣤⡄⣤⣤⣤⣤⣤⣤⣤⢀⣤⣤⣤⣄⠀⠀⠀⢀⣤⣤⣤⡀⢠⣤⣤⢀⣤⣤⢠⣤⣤⣤⡄⣤⣤⣤⣤⣄⠀⠀⠀⣠⣤⣤⣄⠀⠀⠀⢀⣤⣶⣤⣄⠀⣠⣤⣶⣤⡀⠀⣠⣴⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠉⢻⣿⡟⠉⢻⡟⢼⣿⡏⠿⠿⠄⠀⠀⣿⣿⠋⣿⣿⠸⣿⣿⢸⣿⣿⢸⣿⣿⠉⠁⣿⣿⡏⣿⣿⣄⣀⣰⣿⣟⢹⣿⡇⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⢸⣿⣿⢰⣿⣿⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⣼⣿⡇⠀⠀⠀⠘⣿⣿⣷⣤⠀⠀⠀⣿⣿⠀⣿⣿⣤⣿⣿⣼⣿⡟⢸⣿⣿⣶⡆⣿⣿⣿⣿⣿⢶⣿⣷⡿⣿⣿⣿⠃⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⣼⣿⣿⢸⣿⣿⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⢻⣿⡇⠀⠀⠀⢸⣿⡏⣿⣿⡇⠀⠀⣿⣿⡀⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⠂⠀⣿⣿⡇⣿⣿⡀⠀⡀⣽⣿⡿⠥⠆⠀⠀⣿⣿⡏⣿⣿⠀⣿⣿⣿⣿⣿⢸⣿⣿⢸⣿⡿⠀⠀⠀⠀⠀⠘⠃ ⠀⠀⠀⠀⠀⠸⠿⠇⠀⠸⠿⠇⠀⠀⠀⠘⠿⠿⠿⠟⠁⠀⠀⠙⠿⠿⠿⠛⠋⠸⠿⠿⠿⠁⠸⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠟⣿⡇⠙⠿⠿⠿⠟⠀⠻⠿⡿⠿⠋⠀⠻⠿⠾⠿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣦⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢠⣤⠀⠀⠀⠀⠀⣀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⠀⠀⠀⠉⠀⠀⠀⢀⠀⠀⠀⠀⠀⢀⣤⡄⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⢀⡀ ⣦⡀⠀⠉⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠀⠀⠀⠀⠈⢹⣿⣿⣿⣿⣿⣟⣻⣿⣽⣿⣿⠀⣠⣤⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠘⡛⠃⠀⠀⠀⠀⠈⠋⠀⠀⠀⠀⠀⠈⠁ ⣿⣿⣷⣄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠁⣠⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣦⡀⠀⠰⡿⠀⠀⠀⠀⠀⣶⡆⠀⠀⠀⠀⢰⣶⡄⠀⠀⠀⠀⢰⣦⠀⠀⠀⠀⠀⣶⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⡟⠀⣿⠟⠁⠀⠀⠀⠀⢠⣄⠀⠀⢼⣿⣿⣿⣿⡆⠀⠀⠀⢠⣄⠀⠀⠀⠀⠀⢠⣶ ⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠉⢹⣿⡿⠿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠈⠿⣿⣿⡿⠁⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠈⠛ ⣙⣿⣿⣿⣿⣿⣿⣿⣿⡄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣶⣿⣿⣿⣿⣿⡟⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠰⠆⠀⠀⠀⠀⠀⢶⠄⠀⠀⠀⠀⢿⣿⡆⠀⠀⠀⠀⢾⡷⣿⣿⣿⣿⣿⣏⣿⠏⣠⣾⣗⣿⢠⠀⠀⠀⠀⠀⢰⡄⠀⠀⠀⠀⢠⣴⡄⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡞⠉⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣏⣠⣾⣿⣿⣿⠏⠈⢢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⢈⠛⠿⣿⣿⣿⡿⠋⠙⠂⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠟⣿⣧⠤⠴⠲⠶⠾⠛⠁⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠉⠙⠷⣶⣄⣀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠺⠿⠀⠀⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⢿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠙⠙⠛⠿⢶⣤⣀⠸⣿⡇⠀⠀⠀⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣤⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠻⠿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⣿⣿⡿⣿⣿⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠚⠘⠀⠸⠈⠀⠀⠀⠀⠁⠁⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣧⠵⠏⢻⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠠⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠁⠉⠁⠀⠀⠀⠀⠈⠉⠉⠉⠛ ⠀⠛⠀⠌⠁⠘⠃⢻⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣤⡄⣤⣤⣤⣤⣤⣤⣤⢀⣤⣤⣤⣄⠀⠀⠀⢀⣤⣤⣤⡀⢠⣤⣤⠀⣤⣤⢠⣤⣤⣤⡄⣤⣤⣤⣤⣄⠀⠀⠀⣠⣤⣤⣄⠀⠀⠀⢀⣤⣶⣤⣄⠀⣠⣤⣶⣤⡀⠀⣠⣴⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠉⢻⣿⡟⠉⢻⡟⢼⣿⣏⠿⠿⠄⠀⠀⣿⣿⠋⣿⣿⠸⣿⣿⢸⣿⣿⢸⣿⣿⠉⠁⣿⣿⡏⣿⣿⣤⣀⣴⣿⣏⢹⣿⡇⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⢸⣿⣿⢰⣿⣿⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⣼⣿⡇⠀⠀⠀⠘⣿⣿⣷⣦⠀⠀⠀⣿⣿⠂⣿⣿⣦⣿⣿⣼⣿⡟⢸⣿⣿⣶⡆⣿⣿⣿⣿⣿⢶⣿⣿⡿⣿⣿⣿⠃⠀⠀⣿⣿⣇⣿⣿⠀⣿⣿⣼⣿⣿⢸⣿⣿⢸⣿⣿⠀⠀⠀⠀⠀⢀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⢻⣿⡇⠀⠀⠀⢸⣿⡏⣿⣿⡇⠀⠀⣿⣿⡀⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⠀⠀⣿⣿⡇⣿⣿⡀⣀⣀⣽⣿⡿⠥⠆⠀⠀⣿⣿⡏⣿⣿⠀⣿⣿⣿⣿⣿⢸⣿⣿⢸⣿⡿⠀⠀⠀⠀⠀⠘⠋ ⠀⠀⠀⠀⠀⠸⠿⠇⠀⠸⠿⠇⠀⠀⠀⠘⠿⠿⠿⠟⠁⠀⠀⠙⠿⠿⠿⠛⠉⠸⠿⠿⠿⠁⠸⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠟⣿⡇⠙⠿⠿⠿⠟⠀⠻⠿⠿⠿⠋⠀⠻⠿⠾⠿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣴⣶⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⢠⣤⠀⠀⠀⠀⠀⢠⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠉⠀⠀⠀⢀⡀⠀⠀⠀⠀⢀⣤⡄⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⢀⡀ ⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠈⢹⣿⣿⣿⣿⣿⣟⣻⣿⣽⣿⣿⠀⣠⣤⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠈⣟⠃⠀⠀⠀⠀⠈⠋⠀⠀⠀⠀⠀⠈⠁ ⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣠⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣦⣀⣄⠀⠀⠀⠰⠿⠁⠀⠀⠀⠀⢶⡆⠀⠀⠀⠀⢠⣶⡄⠀⠀⠀⠀⢰⣶⠀⠀⠀⠀⠀⣶⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⡟⠀⣿⠟⠁⠀⠀⠀⠀⢴⣤⠀⠀⢼⣿⣿⣿⣿⡆⠀⠀⠀⢀⣤⠀⠀⠀⠀⠀⢠⣴ ⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠉⢹⣿⡿⠿⢿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠈⠻⢿⣿⡟⠁⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠈⠉ ⣿⣾⣿⣿⣿⣿⣿⣿⣷⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣶⣿⣿⣿⣿⣿⡟⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠾⠆⠀⠀⠀⠀⢾⣿⡆⠀⠀⠀⠀⢰⡖⢿⣿⣿⣿⣿⣏⣿⠋⣠⣾⡏⣷⢠⠀⠀⠀⠀⠀⢰⡄⠀⠀⠀⠀⢀⣴⡄⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀ ⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⡎⠉⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣯⣠⣾⣿⣿⣿⠏⠀⢠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⠿⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣿⣷⡠⠤⠲⠶⠶⠛⠉⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠉⠙⠷⣦⣄⣀⠀⠀⠀⠸⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠻⢿⠉⠙⣿⣿⣿⠟⠁⠀⠀⠀⠀⠘⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⠿⢶⣤⣀⠸⣿⡇⠀⠀⠀⠀⠀⠶⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠹⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣦⣀⣀⣀⣀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢿⣿⣿⡿⣿⢿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣶⣶⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠘⠘⠀⠸⠈⠁⠀⠀⠀⠁⠁⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣧⠵⠏⢻⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠰⠶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠠⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠉⠉⠉⠛ ⠀⠛⠁⠔⠃⠘⠃⢹⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣤⡄⣤⣤⣤⣤⣤⣤⣤⢀⣤⣤⣤⣄⠀⠀⠀⢀⣤⣤⣤⡀⢠⣤⣤⠀⣤⣤⢠⣤⣤⣤⡄⣤⣤⣤⣤⣄⠀⠀⠀⣠⣤⣤⣄⠀⠀⠀⢀⣤⣶⣤⣄⠀⣠⣤⣶⣤⡀⠀⣠⣴⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠉⢻⣿⡟⠉⢻⡟⢼⣿⣏⠿⠿⠄⠀⠀⣿⣿⠋⣿⣿⠸⣿⣿⢸⣿⣿⢸⣿⣿⠉⠁⣿⣿⡏⣿⣿⣠⣀⣴⣿⣏⢹⣿⡇⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⢸⣿⣿⢰⣿⣿⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⣼⣿⡇⠀⠀⠀⠘⣿⣿⣷⣤⠀⠀⠀⣿⣿⡀⣿⣿⣦⣿⣿⣼⣿⡟⢸⣿⣿⣶⡆⣿⣿⣿⣿⣿⠷⣿⣿⡿⣿⣿⣿⠃⠀⠀⣿⣿⣇⣿⣿⠀⣿⣿⣼⣿⣿⢸⣿⣿⢸⣿⣿⠀⠀⠀⠀⠀⠀⡀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⢻⣿⡇⠀⠀⠀⢰⣿⡏⣿⣿⡇⠀⠀⣿⣿⡀⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⠀⠀⣿⣿⣇⣿⣿⣀⣀⣀⣼⣿⡿⠥⠆⠀⠀⣿⣿⡏⣿⣿⠀⣿⣿⣿⣿⣿⢸⣿⣿⢸⣿⡿⠀⠀⠀⠀⠀⠘⠃ ⠀⠀⠀⠀⠀⠸⠿⠇⠀⠸⠿⠇⠀⠀⠀⠘⠿⠿⠿⠟⠁⠀⠀⠙⠿⠿⠿⠛⠉⠸⠿⠿⠿⠃⠸⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⣿⡇⠙⠿⢿⠿⠟⠀⠻⠿⠿⠿⠋⠀⠻⠿⡾⠿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣶⣶⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡄⠀⠀⠀⠀⢠⣄⠀⠀⠀⠀⠀⣠⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠉⠀⠀⠀⢠⡀⠀⠀⠀⠀⢀⣤⡄⠀⠀⠀⠀⢀⣄⠀⠀⠀⠀⠀⢠⣄ ⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠈⢸⣯⣿⣿⣿⣿⣟⣻⣿⣽⣿⣿⠀⣠⣤⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⢈⣟⠁⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠘⠋ ⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣰⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢀⣶⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣷⣦⡀⠀⠀⠀⠀⠀⠸⡿⠃⠀⠀⠀⠀⢰⡆⠀⠀⠀⠀⢰⣶⡆⠀⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⣶⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⡟⠀⡿⠟⠁⠀⠀⠀⠀⢴⣆⠀⠀⢺⣿⣿⣿⣿⡆⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⢠⣴ ⣿⣿⣿⣿⣾⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠈⢸⣿⡿⠿⢿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠈⠻⢿⣿⠟⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠈⠉ ⣿⣿⣿⣿⣿⣿⣿⣷⣄⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣾⣿⣿⣿⣿⣿⠏⠀⡀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠾⠆⠀⠀⠀⠀⢾⣿⠆⠀⠀⠀⠀⠰⠆⢿⣿⣿⣿⣿⢇⣿⠋⣠⣾⡏⣷⣢⠀⠀⠀⠀⠀⢰⡆⠀⠀⠀⠀⠠⣶⡆⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⡿⣿⣿⣣⣠⣾⣿⣿⣿⠇⠈⢢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠀⠀⠀⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣿⡇⡤⠔⠖⠲⠾⠋⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠉⠛⠳⣦⣤⣀⠀⠀⠀⠐⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠳⠿⠛⠿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠘⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠁⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠻⢶⣤⣀⠘⣿⡇⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣤⡄⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣦⣀⣀⣀⣤⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢿⣿⣿⠿⣿⢿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣷⣶⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠘⠘⠀⠙⠘⠃⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠓⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣧⠵⠁⠻⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠲⠶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠠⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⠉⠁⠀⠀⠀⠀⠀⠉⠉⠉⠛ ⠀⠛⠀⠌⠁⠙⠃⢹⣟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣤⡄⣤⣤⣤⣤⣤⣤⣤⢀⣤⣤⣤⣄⠀⠀⠀⢀⣤⣤⣤⡀⢠⣤⣤⠀⣤⣤⢠⣤⣤⣤⡄⣤⣤⣤⣤⣄⠀⠀⠀⣠⣤⣤⣄⠀⠀⠀⢀⣤⣶⣤⣄⠀⣠⣤⣶⣤⡀⠀⣠⣴⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠉⢻⣿⡟⠉⢻⡟⢼⣿⣏⠿⠿⠄⠀⠀⣿⣿⠋⣿⣿⠸⣿⣿⢸⣿⣿⢸⣿⣿⠉⠁⣿⣿⡟⣿⣿⡄⣄⣴⣿⣏⢹⣿⡇⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⢸⣿⣿⢰⣿⣿⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⣾⣿⡇⠀⠀⠀⠘⣿⣿⣷⣤⠀⠀⠀⣿⣿⠀⣿⣿⣦⣿⣿⣼⣿⡟⢸⣿⣿⣶⡆⣿⣿⣿⣿⣿⠿⣿⣿⡟⣿⣿⣿⠃⠀⠀⣿⣿⣇⣿⣿⠀⣿⣿⣼⣿⣿⢸⣿⣿⢸⣿⣿⠀⠀⠀⠀⠀⢀⡀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⢻⣿⡇⠀⠀⠀⢰⣿⡏⣿⣿⡇⠀⠀⣿⣿⡀⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⠀⢀⣿⣿⣇⣿⣿⣀⣀⣀⣼⣿⡿⠧⡂⠀⠀⣿⣿⡏⣿⣿⠀⣿⣿⣿⣿⣿⢸⣿⣿⢸⣿⣿⠀⠀⠀⠀⠀⠘⠁ ⠀⠀⠀⠀⠀⠸⠿⠇⠀⠸⠿⠇⠀⠀⠀⠘⠿⠿⠿⠟⠁⠀⠀⠙⠿⠿⠿⠛⠁⠸⠿⠿⠿⠃⠸⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⣿⡇⠙⠿⢿⠿⠟⠀⠻⠿⡿⠿⠋⠀⠻⠿⡾⠿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡄⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⢠⢐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠄⠉⠀⠀⠀⣠⡄⠀⠀⠀⠀⢠⣤⡄⠀⠀⠀⠀⢀⣤⠀⠀⠀⠀⠀⣠⣤ ⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⣿⣿⣿⣿⣿⣻⣿⣯⣿⣿⠀⣠⣦⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⢈⣟⠁⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠙⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠁⣼⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢀⣶⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠃⠀⠀⠀⠀⠰⠆⠀⠀⠀⠀⠰⣶⡄⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⣾⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⡟⠀⡿⠟⠁⠀⠀⠀⠀⢰⣦⠀⠀⢸⣿⣿⣿⣿⠆⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⢠⣶ ⣿⣿⣦⡀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢸⣿⡿⠻⢿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠛⠿⠿⠏⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠉ ⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⡀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣶⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠂⠀⠀⠀⠀⠸⠿⠂⠀⠀⠀⠀⠰⠆⢿⣿⣿⣿⣿⢇⡿⠋⣴⣾⡇⡗⠶⠀⠀⠀⠀⠀⢸⡦⠀⠀⠀⠀⠀⣶⡆⠀⠀⠀⠀⠀⣶⠀⠀⠀⠀⠀⠀⠀ ⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣧⣠⣾⣿⣿⣿⠃⠈⢢⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠀⠀⠀⢀⣠⣤⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⠇⠤⠤⠆⠶⠟⠃⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠈⠙⠻⣶⣤⣀⠀⠀⠀⠀⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⢿⠿⠀⠀⠀⠀⠀⠘⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⠶⣤⣀⠈⣿⡇⠀⠀⠀⠀⠐⢿⠂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠙⢿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣤⣤⠀⠀⡸⠟⠁⠀⠀⠀⠀⠀⠀⢠⣶⣲⣠⣤⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⢿⣿⣿⠟⣿⢿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣶⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠈⠀⠙⠘⠋⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠓⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣧⠵⠛⠺⣿⢿⣿⣿⣿⣿⣿ ⠀⠀⠲⠶⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠠⠀⠄⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⠉⠁⠀⠀⠀⠀⠀⠀⠀⠉⠙ ⠀⠛⠀⠌⠁⠘⠃⢻⣏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣤⡄⣤⣤⣤⣤⣤⣤⣤⢀⣤⣤⣤⣄⠀⠀⠀⢀⣤⣤⣤⡀⢠⣤⣤⠀⣤⣤⢠⣤⣤⣤⡄⣤⣤⣤⣤⣄⠀⠀⠀⣠⣤⣤⣄⠀⠀⠀⢀⣤⣶⣤⣄⠀⣠⣴⣶⣤⡀⠀⣠⣴⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠉⢻⣿⡟⠉⢻⡟⢼⣿⣏⠿⠿⠄⠀⠀⣿⣿⠋⣿⣿⠸⣿⣿⢸⣿⣿⢸⣿⣿⠉⠁⣿⣿⣟⣿⣿⠄⣄⣴⣿⣏⢹⣿⡇⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⢸⣿⣿⢰⣿⣿⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⣾⣿⡇⠀⠀⠀⠘⣿⣿⣷⣤⠀⠀⠀⣿⣿⠀⣿⣿⣦⣿⣿⣸⣿⡟⢸⣿⣿⣶⡆⣿⣿⣿⣿⣿⠿⢿⣿⣟⣿⣿⣿⠃⠀⠀⣿⣿⣇⣿⣿⠀⣿⣿⣼⣿⣿⢸⣿⣿⢸⣿⣿⠀⠀⠀⠀⠀⢀⡀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⢻⣿⡇⠀⠀⠀⢰⣿⡎⣿⣿⡇⠀⠀⣿⣿⡀⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⠀⢀⣿⣿⣇⣿⣿⣀⣀⣀⣼⣿⡿⠧⡂⠀⠀⣿⣿⡏⣿⣿⠀⣿⣿⣿⣿⣿⢸⣿⣿⢸⣿⣿⠀⠀⠀⠀⠀⠈⠋ ⠀⠀⠀⠀⠀⠸⠿⠇⠀⠸⠿⠇⠀⠀⠀⠘⠿⢿⠿⠟⠁⠀⠀⠙⠿⠿⠿⠋⠁⠸⠿⠿⠿⠃⠸⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⣿⡇⠙⠿⢿⠿⠟⠀⠻⠿⠿⠿⠋⠀⠻⠿⠾⠿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡄⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⢠⢐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠉⠀⠀⠀⣠⡄⠀⠀⠀⠀⢠⣶⡆⠀⠀⠀⠀⢀⣤⠀⠀⠀⠀⠀⣠⣤ ⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⣿⣿⣿⣿⣾⣿⣿⣮⣿⣿⠀⣠⣦⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⢈⡟⠃⠀⠀⠀⠀⠈⠋⠀⠀⠀⠀⠀⠙⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣸⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢀⣶⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠃⠀⠀⠀⠀⠰⠆⠀⠀⠀⠀⠀⣶⠆⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⣴⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⡏⠀⡿⠟⠁⠀⠀⠀⠀⢴⣶⠀⠀⢸⣿⣿⣿⣿⠂⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⢠⣴ ⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠸⣿⡿⠛⢿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠙⠿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉ ⣿⣿⣿⣶⣼⣦⣀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⡀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣶⣄⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠂⠀⠀⠀⠀⠸⠿⠂⠀⠀⠀⠀⠰⠆⢿⣿⣿⣿⣿⣇⡿⠋⣴⣾⣇⡗⢴⠀⠀⠀⠀⠀⢸⡶⠀⠀⠀⠀⠀⣶⡆⠀⠀⠀⠀⠠⣶⠀⠀⠀⠀⠀⠀⠀ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⢿⣿⣥⣴⣿⣿⣿⣿⠃⠈⢢⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⢀⣤⣤⠀⠀⠀⠀⠀⢀⠀⠀⠀⢿⣿⣇⡤⠤⠒⠶⠿⠋⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠙⠻⣶⣤⣀⡀⠀⠀⠀⢿⣷⡀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀ ⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠘⢿⠿⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⠶⣤⣀⠘⣿⣿⠀⠀⠀⠀⠸⣿⠗⠀⠀⠀⠀⢰⡶ ⠀⠀⠀⠉⠛⠿⢿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣤⣴⡄⠀⠸⣿⠟⠁⠀⠀⠀⠀⠀⢠⣶⣖⣀⣤⣤⣤⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠻⠿⠁⠀⠚⠁⠀⠀⠀⠀⠀⠀⠺⢿⣿⣿⠟⣿⢿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣶⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠈⠀⠘⠈⠛⠁⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠓⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣿⣧⠵⠃⠺⡿⢿⣿⣿⣿⣿⣿ ⠀⠀⠚⠒⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠠⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⠉⠁⠀⠀⠀⠀⠀⠀⠀⠉⠙ ⠀⠛⠀⠌⠁⠘⠃⢳⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⣗⣴⣦⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣷⡄⠀⠀⠀⢠⣶⣦⠀⠀⠀⠀⣴⣶⡆⠀⢠⣴⣶⣶⣦⠀⠀⠀⠀⠀⢀⠀⠀⣰⠏⠉⠻⠿⢿⣿⣿⣿⣿⢿⢦⡀⠀⠀⠀⠀⣴⣦⡀⠀⠀⣠⣴⣶⣦⠀⠀⠀⢀⣴⣿⣦⠀⠀⠀⠀⣤⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠀⠀⠀⠀⠈⠛⠁⠀⠀⠀⠀⠙⠛⠃⠀⢻⣿⣿⡟⠋⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣦⣷⣦⣦⣧⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠛⠛⠁⠀⠀⢿⣿⣿⡟⠀⠀⠀⠈⠿⣿⠟⠀⠀⠀⠀⠙⠛ ⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⣿⣿⡆⠀⠀⠀⠀⢰⡆⠀⠀⠀⠀⠀⢤⠄⠀⠀⠀⠀⣼⣿⡇⠀⠀⠀⠀⢠⣶⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⠀⠀⠀⠀⣾⣶⡄⠀⠀⠀⣾⣿⣷⡄⠀⠀⠀⣶⣿⣦⠀⠀⠀⣰⣿⣿ ⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣾⡄⠀⠀⠀⠛⠋⠀⠀⠀⠀⣹⣿⣿⠀⠀⠀⠀⠙⠟⠃⠀⠀⠀⠘⢿⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⣀⡀⠀⠀⢠⣾⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠏⠀⠀⠀⠠⣿⠷⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠸⣿⣿⣿⠀⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠀⠀⠀⢰⣿⣿⡇⠀⢿⣿⣿⣿⣿⣿⠀⠀⠀⢴⣿⡆⠀⠀⠀⠀⣴⣿ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⠀⠀⠀⠀⠈⢹⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⢼⣿⠀⠀⠀⠀⠀⠈⠛⠛⠁⠀⠈⠛⠿⠿⠿⠁⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠈⠛ ⣿⣷⣦⣀⢀⡀⠀⠀⠀⢀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⣀⣤⡀⠀⠀⠀⠀⢀⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣷⣦⡀⠘⢿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠗⠀⠀⠀⠀⢿⣿⡿⠀⠀⠀⠀⢿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⣿⣿⠇⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⢾⣿⡇⠀⠀⠀⠀⢰⡦ ⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⡎⠉⠀⠀⠀⠀⣀⣀⣠⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⡀⠀⠈⠉⠀⠀⠀⠀⣀⡉⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣶⣶⣆⠀⠀⠀⢀⣤⣄⠀⢈⣿⣿⣷⣶⣶⣶⣿⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣷⣦⣤⣀⠀⠀⠀⣿⣿⣦⣀⠀⠀⠀⣀⣤⣄⡀⠀⠀⠀⢀⣀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠀⠀⠀⢻⣿⣿⡟⠀⠀⠀⠘⠿⠏⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡙⣿⣿⣿⠿⢻⣿⣿⣿⣿⣿⣿⣦⣄⣿⣿⣿⡿⠀⠀⠘⣿⣿⣿⡇⠀⠀⠀⢿⣿ ⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⣹⣏⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠱⢿⡾⢿⣿⠟⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠏⢈⣡⡴⠀⢘⣿⠟⠋⠁⠉⠛⠛⠛⠛⢏⠉⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀ ⠀⢰⣿⣿⣿⠟⢻⣿⣿⣿⠋⠀⠀⠀⠀⣾⣿⣿⣧⣤⣤⣤⣤⠆⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡋⠄⠤⢾⡿⠋⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣤⣤⣤⣤⣤⣀⣀⣀⣀⣀⣀⡀⠀⠀ ⠀⢹⣿⣿⡿⠀⢠⣿⠟⠁⠀⠀⠀⠠⢿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⢠⢄⠖⠀⠐⠀⡄⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠯⠤⡀⠂⠀⡄⡄⢠⢰⠀⡄⡄⢠⠀⠀⠀⢰⠀⡤⠤⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣿⣿⣇⠀⠈⠁⠀⠀⠀⠀⠀⠀⡏⡿⠿⢻⠙⢻⢹⠿⠋⠀⡐⠡⠁⠀⠀⠀⠀⡇⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⢳⣩⣭⡒⠑⠀⡇⠥⠼⢸⠀⡇⡇⢸⠀⠀⠀⢸⠀⡇⠥⠼⣿⣿⣿⣿⡿⣻⣿⣿⣿⣿⣿⣿⣿ ⠀⠻⠿⠿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠇⡆⠀⠘⠀⠜⡸⠀⠀⢎⠄⠀⠀⠀⠀⠀⠀⠇⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠈⠿⠯⢂⠌⠀⠇⡏⠸⢸⠀⠇⡇⠸⢰⠀⠐⢸⠀⠇⠋⠩⠩⠋⠋⠩⢃⠇⠘⢛⢟⠟⠛⠿⠟ ⠀⠛⠙⠿⠛⠻⠃⢿⡛⠛⠁⠀⠀⠀⠉⠀⠀⠀⠈⠉⠀⠈⠉⠁⠀⠀⠉⠀⠀⠀⠀⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠉⠉⠀⠀⠀⠉⠁⠈⠉⠀⠉⠁⠉⠁⠀⠀⠉⠀⠉⠉⠉⠉⠀⠀⣭⣵⣾⣿⣿⣿⣿⣶⣤⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣷⣦⣦⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢴⣾⣷⡀⠀⠀⠀⢠⣶⣆⠀⠀⠀⠀⣶⣿⡆⠀⢠⣴⣶⣶⣦⠀⠀⠀⠀⠀⢀⠀⠀⣰⡿⠉⠙⠿⠿⣿⣿⣿⣿⠿⢦⠀⠀⠀⠀⠀⣴⣦⡀⠀⠀⣠⣶⣶⣦⠀⠀⠀⢠⣶⣿⣦⠀⠀⠀⠀⣤⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠙⠛⠃⠀⠻⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣶⣶⣶⣴⣼⣼⣿⣿⣿⣿⣷⠀⠀⠀⠀⠻⠛⠁⠀⠀⢿⣿⣿⡟⠀⠀⠀⠈⠻⢿⠟⠀⠀⠀⠀⠻⠿ ⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀ ⠀⢰⣿⣿⡆⠀⠀⠀⠀⢰⡆⠀⠀⠀⠀⠀⡤⠀⠀⠀⠀⠀⣼⣿⡇⠀⠀⠀⠀⢰⣶⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⠀⠀⠀⢀⣿⣶⡄⠀⠀⠀⣾⣿⣿⡄⠀⠀⢀⣶⣿⣦⠀⠀⠀⣴⣿⣿ ⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⡄⠀⠀⠀⠛⠋⠁⠀⠀⠀⣹⣿⣿⠁⠀⠀⠀⠙⠟⠃⠀⠀⠀⠘⢿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⡀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⣀⣀⠀⠀⢠⣾⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠏⠀⠀⠀⠀⢿⠷⠀⠀⠀⠀⠰⢿⡇⠀⠀⠀⠸⣿⣿⣿⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⢸⣿⣿⡇⠀⢿⣿⣿⣿⣿⡟⠀⠀⠀⣴⣿⡆⠀⠀⠀⠀⣾⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⠀⠀⠀⠀⠀⠸⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⢹⡿⠀⠀⠀⠀⠀⠈⠛⠛⠁⠀⠀⠛⠿⠿⠟⠁⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠈⠛ ⣶⣤⣀⣄⡀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⣠⣤⡀⠀⠀⠀⠀⢀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣦⣄⠀⠀⠿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠏⠀⠀⠀⠀⢿⣿⡿⠀⠀⠀⠀⢿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⣿⣿⠇⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⣾⣿⡷⠀⠀⠀⠀⢰⡦ ⣿⣿⣿⣿⣿⣿⣿⣷⣤⣼⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⡆⠁⠀⠀⠀⠀⣀⣀⣠⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⡀⠀⠈⠉⠀⠀⠀⠀⢀⡉⠁⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣠⣶⣶⡄⠀⠀⠀⢀⣤⣄⠀⣈⣿⣿⣷⣶⣶⣶⣿⣿⣿⣿⣥⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣷⣦⣤⣀⠀⠀⠀⣿⣷⣦⡀⠀⠀⠀⣠⣤⣄⠀⠀⠀⠀⠀⡀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠻⣿⣿⠇⠀⠀⠀⠸⠿⠟⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡙⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣦⣄⣿⣿⣿⡟⠀⠀⠘⢿⣿⣿⠃⠀⠀⠀⢿⣿ ⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⢈⡁⠀⠀⠀⠀⠀⠀⠀⠀⠸⠟⠋⠑⣷⡿⣿⣿⠟⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⢈⣩⡔⠀⢸⣿⠟⠉⠉⠉⠿⠛⠛⠛⠏⠉⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⣾⣿⣿⡿⢿⣿⣿⣿⡿⠁⠀⠀⠠⣾⣿⣿⣦⣤⣤⣤⣶⡆⠀⠀⠀⠀⠀⠀⠛⠁⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡏⠄⠤⢿⡿⠋⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣤⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⡀⠀⠀ ⠀⢻⣿⣿⣿⠅⠀⣿⣿⠏⠀⠀⠀⠤⢿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⢠⢄⠆⠀⠀⠀⡄⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠯⠤⡀⠀⠀⡄⡄⢠⢠⠀⡄⡄⢠⠀⠀⠀⢰⠀⡤⠤⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢠⣿⣿⣿⠀⠘⠋⠁⠀⠀⠀⠀⠀⡏⣿⠿⢻⠙⢻⢹⠿⠛⠀⡐⠱⠁⠀⠀⠀⠀⡇⢊⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⢳⣩⣭⡒⠐⠀⡇⠥⠼⢸⠀⡇⡇⢸⠀⠀⠀⢸⠀⡇⠥⠼⣿⣿⣿⣿⡿⣻⣿⣿⣿⣿⣿⣿⣿ ⠐⠿⠿⠿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠇⡇⠀⠘⠀⠜⡸⠀⠀⢎⠄⠀⠀⠀⠀⠀⠀⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠈⠿⠯⢂⠌⠀⠇⡏⠸⢸⠀⠇⡇⠸⢰⠀⠐⢸⠀⠇⠋⠩⠉⠋⠋⠩⢇⠇⠉⠛⠛⠟⡟⠟⠛ ⠀⠛⠓⠿⠛⠻⠃⢻⡛⠛⠁⠀⠀⠀⠉⠀⠀⠀⠈⠉⠀⠈⠉⠁⠀⠀⠉⠁⠀⠀⠀⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠉⠉⠀⠀⠀⠉⠁⠈⠉⠀⠉⠁⠈⠉⠀⠀⠉⠀⠉⠉⢉⠉⠀⠀⣭⣵⣾⣿⣿⣿⣾⣷⣴⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣿⣶⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣷⡄⠀⠀⠀⢠⣶⡄⠀⠀⠀⠀⣶⣿⣦⠀⢀⣴⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠉⠙⠿⠿⣿⣿⣿⡷⢦⠀⠀⠀⠀⠀⣶⣦⡄⠀⠀⣠⣶⣶⣦⠀⠀⠀⢠⣾⣿⣦⠀⠀⠀⠀⣴⣦ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠙⠛⠋⠀⠸⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣾⣧⣦⣦⣧⣿⣿⣿⣿⣷⠀⠀⠀⠀⠛⠛⠁⠀⠀⢿⣿⣿⡏⠀⠀⠀⠘⠻⠿⠟⠀⠀⠀⠀⠻⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀ ⠀⠰⣿⣿⠆⠀⠀⠀⠀⢰⡆⠀⠀⠀⠀⠀⠶⠀⠀⠀⠀⠀⣼⣿⡧⠀⠀⠀⠀⠀⣶⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢿⠀⠀⠀⢀⣿⣿⡆⠀⠀⠀⣾⣿⣷⡄⠀⠀⢠⣾⣿⣦⠀⠀⠀⣾⣿⣿ ⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣶⡄⠀⠀⠀⠙⠛⠁⠀⠀⠀⣹⣿⡟⠀⠀⠀⠀⠙⠛⠃⠀⠀⠀⠙⢿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⣠⣄⡀⠀⢠⣾⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠏⠀⠀⠀⠠⠿⠇⠀⠀⠀⠀⠰⠿⠇⠀⠀⠀⠸⣿⣿⣿⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠿⠋⠀⠀⠀⢸⣿⣿⡇⠀⢻⣿⣿⣿⣿⡿⠀⠀⠀⣾⣿⡆⠀⠀⠀⠀⣾⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠁⠀⠀⠀⠀⠀⠘⣿⣿⣿⣟⣛⣿⣿⣿⣿⣿⢳⡿⠀⠀⠀⠀⠀⠈⠛⠛⠁⠀⠀⠙⠻⠿⠟⠁⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠉⠉ ⣤⣀⣠⣤⡀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⣠⣤⣄⠀⠀⠀⠀⢀⣀⢹⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣇⣀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣧⣤⠀⠀⠀⠸⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠇⠀⠀⠀⠀⢿⣿⡿⠀⠀⠀⠀⢿⠿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⣿⣿⠇⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⢾⣿⡷⠀⠀⠀⠀⢰⡶ ⣿⣿⣿⣿⣿⣿⣿⣦⣀⣴⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⡎⠀⠀⠀⠀⠀⣀⣀⣠⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⢀⡉⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢠⣶⣶⡄⠀⠀⠀⢠⣤⣄⠀⣈⣿⣿⣷⣶⣶⣾⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⣿⣿⣦⣄⠀⠀⠀⣀⣤⣀⠀⠀⠀⠀⠀⠀ ⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠘⢿⣿⠃⠀⠀⠀⠘⠿⠟⢰⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡉⣿⣿⡿⠟⢻⣿⣿⣿⣿⣿⣿⣶⣤⣿⣿⣿⡟⠀⠀⠐⢿⣿⣿⠃⠀⠀⠀⠸⡿ ⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠸⠟⠛⠈⣿⡿⢿⡿⠟⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⣀⣡⠔⠀⢠⣿⠟⠉⠁⠉⠟⠛⠙⠛⢏⠉⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⣶⣿⣿⣤⣤⣴⣶⣶⡆⠀⠀⠀⠀⠀⠀⠛⠁⠈⠁⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡋⠤⠴⠿⡿⠋⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⠀⠀ ⠀⢻⣿⣿⣿⡇⠈⢿⣿⡿⠃⠀⠀⠤⢿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⢠⢄⠆⠀⠀⠀⡄⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠯⠤⡰⠀⠀⡄⡄⢠⢠⠀⡄⡆⢠⠀⠀⢀⢰⠀⡤⠤⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣸⣿⣿⣿⡃⠰⡿⠋⠀⠀⠀⠀⠀⡏⡿⠿⢻⠙⢻⢹⠿⠛⠀⡐⠱⠁⠁⠀⡀⠀⡇⠈⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⢳⣭⣽⡖⠐⠀⡇⠥⠼⢸⠀⡇⡇⢸⠀⠀⠈⢸⠀⡇⠥⠼⣿⣿⣿⣿⡿⣻⣿⣿⣿⣿⣿⣿⣿ ⠐⠻⠿⠿⣟⡂⠀⠀⠀⠀⠀⠀⠀⠀⠇⡇⠀⠘⠀⠜⡸⠀⠀⢊⠄⠀⠀⠀⠀⠀⠀⠇⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠈⠿⠯⢂⠌⠀⠇⡏⠸⢸⠀⠇⡇⠸⢰⠀⠐⢸⠀⠇⠋⠩⠉⠉⠋⠩⢇⠇⢻⣿⣿⣿⣻⠟⠿ ⠀⠛⠛⠿⠛⠻⠃⢻⡛⠛⠁⠀⠀⠀⠉⠁⠀⠀⠈⠉⠀⠈⠉⠁⠀⠀⠉⠁⠀⠀⠀⠉⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠉⠉⠀⠀⠀⠉⠁⠈⠉⠀⠉⠁⠈⠉⠀⠀⠉⠀⠉⠉⢉⠉⠀⠀⣭⣵⣿⣿⣿⣿⣿⣿⣶⣆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣼⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣷⡀⠀⠀⠀⠀⣤⡄⠀⠀⠀⠀⣴⣿⣧⠀⢀⣤⣴⣶⣶⠀⠀⠀⠀⠀⢀⠀⢀⣤⣾⣿⠟⠉⠉⠻⠿⢿⣿⣶⢶⡀⠀⠀⠀⠀⣶⣶⡄⠀⠀⣠⣶⣶⣦⠀⠀⠀⢀⣶⣿⣶⠀⠀⠀⠀⣴⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠃⠀⠘⢿⡿⠟⠛⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣶⣾⣿⣤⣼⣽⣿⣿⣧⠀⠀⠀⠀⠛⠛⠁⠀⠀⢿⣿⣿⡏⠀⠀⠀⠈⠻⠿⠟⠀⠀⠀⠀⠻⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀ ⠀⠀⣿⣿⠆⠀⠀⠀⠀⢴⡦⠀⠀⠀⠀⠀⠶⠆⠀⠀⠀⠀⢾⣿⣷⠀⠀⠀⠀⠀⡦⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢷⠀⠀⠀⠀⣿⣷⡆⠀⠀⠀⢸⣿⣷⡄⠀⠀⠀⣾⣿⣶⠀⠀⠀⣾⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣴⡄⠀⠀⠀⠛⠛⠁⠀⠀⠀⢸⣿⡋⠀⠀⠀⠀⠈⠛⠁⠀⠀⠀⠘⢿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣄⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢀⣤⣤⡀⠀⢠⣾⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠏⠀⠀⠀⠀⠿⠗⠀⠀⠀⠀⠐⠿⠇⠀⠀⠀⠸⣿⣿⣿⠀⠀⠀⠀⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⢾⣿⣿⣿⠀⠸⣿⣿⣿⣿⡷⠀⠀⠀⢴⣿⡧⠀⠀⠀⠀⣾⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠉⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣛⣻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠘⠛⠛⠁⠀⠀⠙⠻⠿⠟⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠈⠉ ⠀⢀⣠⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⣤⣶⣤⠀⠀⠀⠀⣀⣄⢘⣿⣿⣿⣿⣿⣿⣿⣿⡟⠗⣿⣠⡀⠀⠀⠀⠀⣠⣀⠀⠀⠀⠀⢀⣠⣄⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠘⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠟⠀⠀⠀⠀⢿⣿⡿⠀⠀⠀⠀⢿⠿⢋⣿⣿⣿⣿⣿⣿⣿⡿⣎⣀⢿⣿⡿⠀⠀⠀⠀⣿⣿⠇⠀⠀⠀⢸⣿⣿⠄⠀⠀⠀⢾⣿⣷⠀⠀⠀⠀⢰⡶ ⣿⣿⣿⣿⣶⣾⣦⣄⠀⣴⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⡆⠉⠀⠀⠀⠀⣀⣀⣴⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣼⣿⣷⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⢈⡉⠉⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢀⣴⣦⡄⠀⠀⠀⢠⣤⣤⠀⣀⣿⣿⣷⣶⣶⣶⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣣⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⣸⣿⣷⣄⠀⠀⠀⢀⣤⣀⠀⠀⠀⠀⠀⠀ ⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠈⠿⠿⠃⠀⠀⠀⠘⠿⠟⢐⢿⣿⣿⣿⣿⣿⣿⣯⣿⡿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡉⣿⣿⠿⠛⢻⣿⣿⣿⣿⣿⣿⣶⣤⣿⣿⣿⡿⠀⠀⠀⢿⣿⡿⠀⠀⠀⠀⠸⠿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠨⠛⠋⠀⣫⡿⢿⣿⠟⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠃⣀⣠⠖⠀⣸⡿⠟⠁⠀⠀⠙⠉⠉⠛⢏⠉⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⢀⣴⣿⣿⣤⣤⣶⣶⣶⡖⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡋⠤⠖⠾⡿⠁⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⡀⠀ ⠀⢻⣿⣿⣿⡟⠛⢻⣿⣿⡿⠃⠀⠬⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢠⢄⠆⠀⠀⠀⡄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠯⠤⠔⠀⠀⡄⡄⢠⢠⠀⡄⡄⢠⠀⠀⠀⢰⠀⡤⠤⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣨⣿⣿⣿⡇⠀⣨⣿⠟⠁⠀⠀⠀⡏⡿⠿⢻⠙⢻⢹⠿⠳⠀⡐⠱⠁⠀⠀⡀⠀⡇⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⢳⣭⣽⡒⠑⠀⡇⠥⠼⢸⠀⡇⡇⢸⠀⠀⠀⢸⠀⡇⠥⠼⣿⣿⣿⣿⡿⣻⣿⣿⣿⣿⣿⣿⣿ ⠘⠛⠟⠿⣟⡟⠀⠙⠉⠀⠀⠀⠀⠀⠇⡏⠀⠸⠀⠜⡸⠀⠀⢊⠄⠀⠀⠀⠀⠀⠀⠇⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠈⠿⠯⢂⠌⠀⠇⡏⠸⢸⠀⠇⡇⠸⢸⠀⠐⢸⠀⠇⠋⠩⠉⠉⠋⠩⢇⠇⢛⠟⡿⣻⣿⠛⠛ ⠀⠛⠓⠿⠛⠻⠃⢛⠛⠛⠁⠀⠀⠀⠉⠀⠀⠀⠈⠉⠀⠈⠉⠁⠀⠀⠉⠁⠀⠀⠀⠉⣼⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠉⠉⠀⠀⠀⠉⠁⠈⠉⠀⠉⠁⠈⠉⠀⠀⠉⠀⠉⠉⢉⠉⠀⠀⣭⣵⣿⣿⣿⣿⣿⣿⣾⣆ ䷩ 𝚕𝚒𝚗𝚎 2567 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/Programming_Leftovers.1.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/Programming_Leftovers.1.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Programming Leftovers⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Sep 16, 2025 * ⚓ Rlang ☛ Exploring_{ggplot2}’s_Geoms_and_Stats⠀⇛ * ⚓ Rlang ☛ Quality_Control_for_Scanned_Multiple-Choice_Exams⠀⇛ Step-by-step guide to using nops_fix() for fixing problems that occurred during scanning written NOPS exams in R/exams. * ⚓ Rlang ☛ From_Surviving_to_Thriving:_A_Convening_to_Reclaim_and_Sustain Open_Science_Communities⠀⇛ Open science has transformed how research is conducted, shared, and reused. Yet the organisations at the heart of this transformation are often left vulnerable, underfunded, and disconnected from one another. * ⚓ Rlang ☛ Survivor_Australia_vs._The_World_is_now_in_{survivoR}⠀⇛ Survivor Australia vs. The World has wrapped up, and the data is now available in the {survivoR} package. * ⚓ Ruby_3.4.6_Released⠀⇛ Ruby 3.4.6 has been released. This is a routine update that includes bug fixes. Please refer to the release_notes_on_Microsoft's_proprietary_prison_GitHub for further details. Ruby 3.4.7 is scheduled for November and 3.4.8 for January. * § Perl / Raku⠀➾ o ⚓ Rakulang ☛ Rakudo_Weekly_2025.37_ASTQuery⠀⇛ Fernando’s Corner Fernando Correa de Oliveira provides an introduction to AST Query – From ASTs to RakuAST to ASTQuery – in which he explains how Raku’s RakuAST opens up a powerful way to analyze and transform code by working directly with its Abstract Syntax Tree (AST). ䷩ 𝚕𝚒𝚗𝚎 2639 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/Programming_Leftovers.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/Programming_Leftovers.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Programming Leftovers⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Sep 16, 2025 * ⚓ [Old] uni MIT ☛ Looking_back_at_Project_Athena⠀⇛ Project Athena was a campus-wide effort to make the tools of computing available to every discipline at the Institute and provide students with systematic access to computers. A new project that featured computer workstations and educational programming, Athena was a milestone in the history of distributed systems and inspired programs like Kerberos. It also revolutionized educational computing for the Institute and beyond, and created the computing environment that many students and faculty still work in today. * ⚓ Linuxiac ☛ Libxml2_Maintainer_Steps_Down⠀⇛ And before you say, “So what, it’s just a library,” let me say this: even though libxml2 is not something most end users touch directly, it is a critical, fundamental component for the open source ecosystem and for software development in general. It’s the official XML C library developed for the GNOME project, which provides APIs to parse, validate, and manipulate XML and HTML documents. * ⚓ Nicholas Tietz-Sokolsky ☛ Custom_for_designing,_off-the-shelf_for shipping⠀⇛ There is no general answer for that, of course. It's dependent on your situation. But there is a pattern that I've found helpful for problem-solving which balances the two approaches. You use as many custom components as you like for designing a solution, and then you use (mostly) off-the-shelf components for what you're going to ship. * ⚓ Josh Bleecher Snyder ☛ Security_through_intentional_redundancy⠀⇛ This is the path of lowest resistance to calling DeletePhoto. A developer (or an LLM) might write this code without thinking about security at all…and yet, it’s pretty solid, because DeletePhoto can enforce that the photo must be owned by the provided user. Only one person (the author of DeletePhoto) had to think about security. Everyone else gets it for free. This API fails closed. * § Perl / Raku⠀➾ o ⚓ Perl ☛ Announcing_Dancer2_2.0.0⠀⇛ The Dancer Core Team project is proud to announce the release of Dancer2 2.0.0! This release has been a long time coming, and while open source sometimes takes longer than we’d like, we believe the wait has been worth it. With fresh documentation, architectural improvements, and developer-friendly new features, version 2.0.0 represents a significant evolution of Dancer2 and the Perl web ecosystem. If you’d like a more extensive overview, I gave a talk at the Perl and Raku Conference 2025, about Dancer2 2.0.0, covering new features and where we’re headed next. You can watch the full presentation here: Dancer2 2.0.ohh myyy on YouTube → ䷩ 𝚕𝚒𝚗𝚎 2731 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/PureOS_Crimson_August_2025_Alpha_Released.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/PureOS_Crimson_August_2025_Alpha_Released.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ PureOS Crimson: August 2025 – Alpha Released⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Rianne Schestowitz on Sep 16, 2025 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇PureOS_Alpha_images,_we_identified_several_issues⦈_ Quoting: PureOS Crimson: August 2025 - Alpha Released – Purism — Purism’s goal is to build high quality, secure, privacy-respecting devices. Quality comes from design, engineering, and testing. Assurance of quality through testing is value we add when we distribute upstream software. It’s also a key reason for customers to choose our products. Even though we’re at an alpha milestone, we still needed to test these images for quality. The goal of alpha is to provide an OS where essential functionality works, so community members can test the images and provide meaningful feedback. If everyone hits a roadblock during installation, we can’t get feedback. Read_on ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣉⣉⡉⠉⠉⠉⣉⣉⢉⡉⣉⢉⣉⣉⡉⢉⡹⢿⣿⣿⣿⣿⣍⢩⡽⣭⣭⠽⠉⣏⣸⣭⣏⣽⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⠶⠶⠶⠶⠶⠶⠶⠶⠶⢶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⠓⠒⠓⠒⠒⠓⠚⠒⠓⠚⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⢤⡤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡤⢤⢤⣤⣤⣤⡤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣶⣶⣶⣶⣿⣿⣷⣶⣿⣿⣇⣀⣲⣶⣾⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠉⢋⣉⣉⣿⣿⣟⣉⣿⣿⣏⣉⣉⣙⣹⣿⣿⣛⣉⣉⣙⣛⣛⣛⣛⣛⣛⣛⣋⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠶⠶⣿⣿⣿⣿⣿⠿⣿⣿⡿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⠿⠿⠿⠿⡿⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣶⣶⣶⣾⣿⣿⣷⣶⣿⣿⣇⣀⣶⣶⣾⣿⣿⣀⣀⣀⣀⣀⣀⣀⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣋⣛⣋⣋⣙⣿⣟⣉⣿⣿⣏⣉⣹⣿⣿⣿⣿⠛⠛⠋⠛⢛⣛⣛⣉⣙⣋⣋⣉⣛⣛⣋⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠿⠿⠿⣿⣿⣿⡿⠿⣿⣿⡿⠿⢿⣿⣿⣿⣿⡶⠶⠶⠶⠾⠿⢿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀⣀⣶⣿⣿⣿⣷⣶⣿⣿⣷⣶⣾⣿⣿⣿⣿⣀⣀⣀⣀⣰⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣉⣉⣉⣉⣿⣿⣏⣉⣿⣿⣏⣉⣉⣉⣉⣹⣿⣉⣉⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣉⣉⣉⣉⣻⣿⣏⣉⣿⣿⣏⣉⣉⣉⣉⣹⣿⣉⣉⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠉⢉⣉⣹⣿⣿⣏⣉⣿⣿⣏⣉⣹⣿⣿⣿⣿⠋⠉⠉⠉⣉⣉⣙⣉⣉⣉⣉⣉⣉⣉⣉⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠶⠾⠿⢿⣿⣿⡿⠿⣿⣿⡿⠿⢿⣿⣿⣿⣿⠶⠶⠶⠶⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀⣀⣶⣾⣿⣿⣷⣶⣿⣿⣷⣶⣾⣿⣿⣿⣿⣀⣀⣀⣀⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠉⢉⣉⣹⣿⣿⣯⣭⣿⣿⣯⣍⣹⣿⣿⣿⣿⠉⠉⠉⠉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠶⠾⠿⢿⣿⣿⡿⠿⣿⣿⡿⠿⢿⣿⣿⣿⣿⠶⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀⣀⣶⣾⣿⣿⣿⣾⣿⣿⣷⣶⣾⣿⣿⣿⣿⣀⣀⣀⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠉⢉⣉⣹⣿⣿⣯⣭⣿⣿⣯⣭⣽⣿⣿⣿⣿⠉⠉⠉⠉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠶⠾⠿⢿⣿⣿⡿⠿⣿⣿⡿⠿⢿⣿⣿⣿⣿⠶⠶⠶⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀⣀⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣀⣀⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⣛⣙⣋⣛⣉⣙⣉⣉⣙⣛⣙⣋⣙⣋⣙⣋⣛⣋⣙⣛⣋⣉⣛⣙⣛⣉⣙⣉⣙⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣭⣩⣍⣍⣭⣉⣍⣩⣩⣭⣉⣩⣉⣩⣉⣍⣩⣍⣉⣍⣭⣩⣉⣉⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠭⠭⠭⠭⠭⠭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⠛⡛⠛⠛⠛⠛⠛⠛⡛⠛⠛⠛⠛⠛⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣬⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣒⣒⠒⠒⠒⠒⠒⠒⠒⠂⠐⠒⠒⠒⠒⠒⢰⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ䷩ 𝚕𝚒𝚗𝚎 2799 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/Red_Hat_Hype_AI_and_RHEL.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/Red_Hat_Hype_AI_and_RHEL.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Red Hat Hype ("AI") and RHEL⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Sep 16, 2025 * ⚓ Marcin Juszkiewicz ☛ A_simple_way_to_automate_RHEL_VM_creation⠀⇛ I needed a quick way to create some virtual machines running RHEL 9 and 10, without going through manual steps. * ⚓ Red Hat ☛ Why_some_agentic_Hey_Hi_(AI)_developers_are_moving_code_from Python_to_Rust⠀⇛ If you’re looking to build agentic Hey Hi (AI) solutions that perform well,  one area that doesn’t get discussed nearly often enough is the core runtime environment. For Hey Hi (AI) developers, that term runtime is almost always synonymous with Python.   * ⚓ Red Hat ☛ Confidential_VMs:_The_core_of_confidential_containers [Ed: Fake security and back doors]⠀⇛ In this article, we will look at confidential_virtual_machines (CVMs) and how they play a key role in confidential_containers (CoCo). Confidential computing is a set of security technologies that provides the confidentiality of workloads. * ⚓ Red Hat ☛ Benchmarking_with_GuideLLM_in_air-gapped_OpenShift_clusters [Ed: "AI" hype is destroying Red Hat's credibility because IBM is trying to enrol itself in a Ponzi scheme]⠀⇛ The ability to deploy and benchmark large language models (LLMs) in an air-gapped (disconnected) environment is critical for enterprises operating in highly regulated sectors. In this article, we walk through deploying the Red_Hat_Hey_Hi_(AI) Inference_Server using vLLM and evaluating its performance with GuideLLM—all within a fully disconnected Red_Hat_OpenShift cluster. * ⚓ Red Hat Official ☛ Preparing_your_organization_for_the_quantum_future [Ed: The typical "quantum" hype of IBM]⠀⇛ The core issue at hand is that many of our current cryptographic systems, like RSA, rely on mathematical problems that are simple for classical computers to do in one direction, but extremely difficult to reverse. For example, multiplying 2 large prime numbers is simple, but factoring the result back to its original prime numbers is very hard. This is modern public- key cryptography, also called asymmetric cryptography. In contrast, symmetric cryptography relies on a single shared secret key for both encryption and decryption and requires a secure method for sharing that secret key beforehand. With public-key cryptography being the most common and practical way for computers to share that secret, we must also be aware that CRQCs can weaken the effectiveness of symmetric keys in addition to compromising the most common method by which those keys are shared. * ⚓ Red Hat Official ☛ AI-assisted_development:_Supercharging_the_open source_way [Ed: Red Hat trying to float hype]⠀⇛ The world of technology is in the midst of a seismic shift. Artificial intelligence, particularly generative AI (gen AI), is rapidly evolving from a futuristic concept into a tangible tool with the potential to redefine how we build software. For those of us who have built our careers on open source principles of software development, this moment is pivotal. And a bit unnerving. At Red Hat, we've always believed that the most powerful innovations are born from collaboration, transparency, and a shared commitment to solving complex problems. As we head into the AI era, we believe these same principles are not just relevant, but essential. * ⚓ Red Hat Official ☛ A_strategic_approach_to_AI_inference_performance [Ed: And again]⠀⇛ This approach addresses two critical areas: optimizing the inference runtime and optimizing the model itself. ䷩ 𝚕𝚒𝚗𝚎 2904 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/Security_Patches_and_More.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/Security_Patches_and_More.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Security Patches and More⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Sep 16, 2025 * ⚓ Security Week ☛ Samsung_Patches_Zero-Day_Exploited_Against_Android Users⠀⇛ Reported by Meta and WhatsApp, the vulnerability leads to remote code execution and was likely exploited by a spyware vendor. * ⚓ LWN ☛ Security_updates_for_Monday⠀⇛ Security updates have been issued by AlmaLinux (cups, kernel, and mysql-selinux and mysql8.4), Debian (cjson, jetty9, and shibboleth-sp), Fedora (bustle, cef, checkpointctl, chromium, civetweb, cups, forgejo, jupyterlab, kernel, libsixel, linenoise, maturin, niri, perl-Cpanel-JSON-XS, python-uv-build, ruff, rust-busd, rust-crypto-auditing-agent, rust-crypto- auditing-client, rust-crypto-auditing-event-broker, rust- matchers, rust-monitord, rust-monitord-exporter, rust-secret- service, rust-tracing-subscriber, rustup, tcpreplay, tuigreet, udisks2, uv, and xwayland-satellite), Oracle (cups, gdk- pixbuf2, kernel, mysql-selinux and mysql8.4, and php:8.2), Red Hat (kernel, kernel-rt, and multiple packages), Slackware (cups, kernel, and patch), and SUSE (busybox, busybox-links, chromedriver, chromium, cups-filters, curl, go1.25, jasper, java-11-openj9, java-17-openj9, java-1_8_0-openjdk, kernel, kernel-devel, kubo, libssh-config, orthanc-gdcm, python- aiohttp, python-eventlet, python-h2, and xen). * ⚓ LinuxConfig ☛ Chromium_140.0.7339.80_Security_Update_Released:_Critical Vulnerability_Fixes_for_GNU/Linux_Users⠀⇛ * ⚓ The Register UK ☛ After_deleting_a_web_server,_I_started_checking_what I_typed_before_hitting_'Enter'⠀⇛ Student thought she had the hang of this 'Linux' thing and its kooky CLI It's Monday morning, and a week of possibilities presents itself to IT pros everywhere. Which is why The Register brings you another edition of Who, Me? It's the reader-contributed column in which we remind you what not to do with your day, your week, and your career, by sharing stories of your worst workplace mistakes and the contortions you made to survive them. This week, meet a reader we'll Regomize as "Wilma" who told us that while at university she volunteered with a group working on the student association's website. ䷩ 𝚕𝚒𝚗𝚎 2978 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/This_17MB_Linux_distro_runs_on_just_about_any_PC.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/This_17MB_Linux_distro_runs_on_just_about_any_PC.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ This 17MB Linux distro runs on just about any PC⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Rianne Schestowitz on Sep 16, 2025 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Tiny_Core_does_include_word_processing_capabilities... Abiword⦈_ Quoting: This 17MB Linux distro runs on just about any PC — Tiny Core Linux is a distribution that doesn’t try to compete with the giants. Instead, it carves out a unique niche by being incredibly small, incredibly fast, and surprisingly capable for its size. At just 16MB, it’s a fraction of the size of most Linux distros, yet it still provides a working desktop environment. That alone makes it an intriguing project, but what really stands out is how it challenges the assumption that modern systems need to be large and complex. Read_on ⠏⠉⠉⠉⠿⠇⠉⠁⡏⠉⠀⠀⡾⠹⠹⠹⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣖⢖⢒⠒⠒⠒⢲⣶⣶⣶⣿⣿⣷⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣏⣹⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣏⣿⣿⣏⣿⣿⣟⣻⣿⣿⣟⣿⣿⣿⣿⣛⣿⣿⣟⣿⣿⣝⣙⣿⣯⣿⣽⣿⣿⣙⣙⣟⣻⣿⣿⣻⣻⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠛⢻⣿⣿⣿⣿⡏⠉⢻⡟⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⢻⣿⣿⣯⣿⣿⣟⣛⣿⣿⣿⡿⢿⡟⡟⢻⣟⣿⣿⠋⢻⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣯⣭⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣽⣭⣭⣯⣭⣭⣽⣽⣿⣯⣿⣿⣿⣿⣿⣿⣧⣨⣿⣇⣰⣿⣇⣸⣿⣿⣀⣼⣿⣄⣿⣿⣄⣿⣇⣀⣿⣿⣿⣿⣯⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢻⣿⣿⡟⠛⠛⠛⠛⠛⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣻⣿⡿⠙⠛⠛⠛⠛⠛⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠙⠛⠛⠛⠛⠛⠋⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠉⣿⠀⠀⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠙⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠉⠙⠉⠉⠉⠉⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ䷩ 𝚕𝚒𝚗𝚎 3043 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/This_beautiful_Linux_distro_deserves_to_be_better_known_here_s_.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/This_beautiful_Linux_distro_deserves_to_be_better_known_here_s_.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ This beautiful Linux distro deserves to be better known - here's why⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Rianne Schestowitz on Sep 16, 2025 Quoting: This beautiful Linux distro deserves to be better known - here's why | ZDNET — Voyager Linux is one of those distributions that tends to go under the radar, which is a shame because it's so good. That's why I'm here. I've reviewed Voyager Linux before (back in 2023) and found it to be user-friendly and elegant. Now, there's a new version on the horizon, and I decided to test the alpha release. I'm brave like that. Read_on ䷩ 𝚕𝚒𝚗𝚎 3085 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/Today_in_Techrights.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/Today_in_Techrights.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Today in Techrights⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Sep 16, 2025 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Train_cars_shining_in_the_morning_sun.⦈_ ⚓ Updated This Past Day⠀⇛ 1. ⚓ What_Ruben_Amorim_and_Stefano_Maffulli_Have_in_Common⠀⇛ Censors Wikipedia and Social Control Media 2. ⚓ Microsoft_Won't_Cooperate_in_Trying_to_Tackle_EPO_Corruption_(Microsoft Profits_From_This_Corruption)⠀⇛ Use something like BigBlueButton, Jami, Ring, and Jitsi instead 3. ⚓ We_Are_Sad_to_Hear_the_Story_of_Jonathan_Riddell,_Champion_of_KDE_and GNU/Linux_on_Desktops/Laptops⠀⇛ I have enormous respect for Jonathan and everything he has done ⚓ New⠀⇛ 4. ⚓ Geminispace_Growing_at_Pace_of_Over_10%_Per_Year⠀⇛ Contrary to what some pessimists try to claim 5. ⚓ Linux_Mint_Forums_Today:_Disable_'Secure_Boot',_It_Doesn't_Improve Security,_It's_Just_a_Microsoft_Obstacle_to_GNU/Linux_Users⠀⇛ They also mention MOK 6. ⚓ Solved_Less_Than_an_Hour_Ago:_Trying_to_Escape_Windows,_'Secure_Boot' Gets_in_the_Way⠀⇛ 'Secure Boot' wasn't meant to even exist in the first place 7. ⚓ Stefano_Maffulli,_Executive_Director_of_the_Open_Source_Initiative, Resigns_or_Gets_Removed_(We'll_Continue_Covering_OSI_Scandals)⠀⇛ A dozen mentions of "AI", not much about "Open Source" 8. ⚓ Andy_Has_Just_Nailed_It_(Regarding_Complexity_and_Failure,_a_la_UEFI)⠀⇛ The users no longer own or control what they buy 9. ⚓ Compatibility_Support_Module_(CSM)_Versus_GNU/Linux_Simplicity⠀⇛ what Andy recently called "solutionism" 10. ⚓ Links_15/09/2025:_"Postal_Traffic_to_US_Down_by_Over_80%"_and_'Smart' Spinozacampus_Laundry_Room_Goes_AWOL⠀⇛ Links for the day 11. ⚓ Gemini_Links_15/09/2025:_Dungeon_Hustle_and_Deleting_Oneself_From_the Net⠀⇛ Links for the day 12. ⚓ Breach_of_EPO's_Duty_of_Care_or_Cigna_Reimbursement_Issues⠀⇛ This is the sort of thing that motivated Luigi Mangione to assassinate a CEO 13. ⚓ Ask_Ubuntu_About_"Secure_Boot"_Violation_and_Laptops_That_Don't_Boot GNU/Linux⠀⇛ Does anyone still believe that "Secure Boot" has anything at all to do with security? 14. ⚓ Talking_About_the_Problem_vs_Talking_to_the_Problem⠀⇛ Wanting an audience is never a good excuse for compromising one's values and principles 15. ⚓ Focusing_on_Patents⠀⇛ The reason we cover the EPO so much is that it's close to home 16. ⚓ "Secure_Boot_Violation":_The_'Joys'_of_Fake_Security_Gone_Wrong⠀⇛ Not everyone reboots every day 17. ⚓ Links_15/09/2025:_Russia_Invades_Romanian_Airspace,_Penske_Media_Sues Google_Over_LLM_Slop⠀⇛ Links for the day 18. ⚓ Links_15/09/2025:_Bitcoin_ATMs_Scam_and_"Conservative_Cryptography"_ (Backdoors_Fantasies)⠀⇛ Links for the day 19. ⚓ EPO_Imitates_Microsoft:_"Three_Days_or_More_Per_Week"_Inside_the_Office to_Get_a_Desk_to_Work_on;_"the_Office_Breaches_Its_Promise_Towards_Staff and_Acts_in_Breach_of_Its_Duty_of_Care"⠀⇛ The EPO serves no actual function in Europe 20. ⚓ Links_15/09/2025:_Political_Affairs,_Censorship,_and_Copyrights⠀⇛ Links for the day 21. ⚓ Gemini_Links_15/09/2025:_Music_Genres,_Invisible_Networks,_and_Akademy 2025⠀⇛ Links for the day 22. ⚓ Over_at_Tux_Machines...⠀⇛ GNU/Linux news for the past day 23. ⚓ IRC_Proceedings:_Sunday,_September_14,_2025⠀⇛ IRC logs for Sunday, September 14, 2025 ========================================================================= The corresponding text-only bulletin for Monday contains all the text. Top-read articles (excluding bot/crawler visits): Span from 2025-09-09 to 2025-09-15 8675 /about.shtml 7134 /n/2025/09/11/ We_Could_Dual_Boot_Back_in_the_1990s_Why_Has_This_Become_So_Dif.shtml 6609 /irc.shtml 6403 /index.shtml 6366 /n/2025/09/12/ Explaining_in_Length_and_Depth_the_Damage_Matthew_Garrett_Did_t.shtml 6103 /n/2025/09/13/ Who_s_the_Mystery_Financier_of_SLAPP_Against_Techrights_and_Is_.shtml 6000 /n/2025/09/09/ The_UEFI_9_11_Part_IX_Shunning_Old_Computers_in_2023_the_Certif.shtml 3427 /n/2025/09/09/ statCounter_Sees_GNU_Linux_Exceeding_10_in_Bulgaria_This_Month.shtml 3320 /n/2025/09/07/ The_UEFI_9_11_Part_VIII_Denial_of_Service_and_Selling_Us_WSL_Wi.shtml 3239 /n/2025/09/07/ Throwing_Away_Old_Computers_Mozilla_and_Other_Climate_Deniers.shtml 2943 /n/2025/09/12/Over_at_Tux_Machines.shtml 2844 /n/2025/09/12/ Gemini_Links_12_09_2025_Metric_System_Dumping_Windows_and_Softw.shtml 2801 /n/2025/09/12/ Links_12_09_2025_Shira_Perlmutter_is_Back_Software_Per_Se_Paten.shtml 2794 /n/2025/09/13/Over_at_Tux_Machines.shtml 2787 /n/2025/09/11/ Slopwatch_Google_News_is_Still_Promoting_Many_Fake_Articles_Abo.shtml 2784 /n/2025/09/12/IRC_Proceedings_Thursday_September_11_2025.shtml 2779 /n/2025/09/11/Over_at_Tux_Machines.shtml 2777 /n/2025/09/12/ This_Morning_Might_Turn_Out_to_be_an_Interesting_One_for_System.shtml 2771 /n/2025/09/11/ Longtime_Red_Hat_Staff_Maybe_Just_Disable_Secure_Boot.shtml 2735 /n/2025/09/12/ Slopwatch_Linux_Plagiarism_Slopfarms_Still_Infesting_Google_New.shtml 2722 /n/2025/09/11/A_Dozen_Observations_About_UEFI_9_11_Deflections.shtml 2718 /n/2025/09/11/IRC_Proceedings_Wednesday_September_10_2025.shtml 2694 /n/2025/09/11/ Links_11_09_2025_Oracle_Layoffs_Drunk_Pilots_in_Japan_Airlines_.shtml 2686 /n/2025/09/10/ The_Bluewashing_of_Red_Hat_is_Being_Completed_Many_Staff_Unders.shtml 2681 /n/2025/09/12/It_s_Still_Not_to_Late_to_Turn_Off_Secure_Boot.shtml 2679 /n/2025/09/13/Slopwatch_Slow_Slop_Day.shtml 2676 /n/2025/09/11/New_Series_The_Coup_Against_GNU_Linux_Has_Begun.shtml 2671 /n/2025/09/11/ The_World_s_Richest_Ponzi_Scheme_Faking_Value_Using_Net_Waste.shtml 2658 /n/2025/09/13/ Links_13_09_2025_China_Punishes_for_Negative_Posts_US_Police_Un.shtml 2657 /n/2025/09/11/ New_Paper_on_BYOVD_but_in_firmware_Signed_UEFI_shells_vulnerabl.shtml 2643 /n/2025/09/13/ Leak_European_Patent_Office_EPO_is_Now_Attacking_Amicale_Clubs.shtml 2629 /n/2025/09/13/IRC_Proceedings_Friday_September_12_2025.shtml 2619 /n/2025/09/11/ Celebrating_Assassination_is_Bad_Because_It_Legitimises_Assassi.shtml 2592 /n/2025/09/13/Oracle_Fraud_of_Defrauding_Shareholders.shtml 2586 /n/2025/09/12/ Links_12_09_2025_Slop_Code_as_Liability_Microsoft_Outlook_Down_.shtml 2573 /n/2025/09/11/ Being_Conditioned_to_Accept_Unreliable_Computer_Systems_That_Fa.shtml 2559 /n/2025/09/13/ Geminispace_is_Growing_Faster_in_2025_Than_It_Did_in_2024.shtml 2535 /n/2025/09/13/Can_We_Please_Stop_Celebrating_Shooters.shtml 2532 /n/2025/09/11/ The_Microsoft_AstroTurfing_and_Microsoft_Led_Blame_Shifting_Tac.shtml 2520 /n/2025/09/10/Over_at_Tux_Machines.shtml 2511 /n/2025/09/12/A_Day_After_UEFI_9_11_UEFI_Secure_Boot_Bypass.shtml 2505 /n/2025/09/13/Pursuing_Peace_Through_Violence.shtml 2505 /n/2025/09/11/ Culture_of_silence_Ubisoft_harassment_convictions_Mozilla_Sylve.shtml 2492 /n/2025/09/10/10_Reasons_to_Disable_or_Enable_UEFI_Secure_Boot.shtml 2478 /n/2025/09/13/ Gemini_and_Web_Links_13_09_2025_MElon_s_Slop_Grift_and_Autonomo.shtml 2465 /n/2025/09/10/Gemini_Links_10_09_2025_Hospital_and_Large_Feeds.shtml 2460 /n/2025/09/13/Debian_9_11.shtml 2450 /n/2025/09/11/ Gemini_Links_11_09_2025_Playdate_Console_Dichotomy_between_the_.shtml 2441 /n/2025/09/11/ Links_11_09_2025_Hey_Hi_Ponzi_Schemes_at_Oracle_Unpaid_Contract.shtml 2423 /n/2025/09/10/IRC_Proceedings_Tuesday_September_09_2025.shtml 2422 /n/2025/09/13/ UEFI_Secure_Boot_Failing_as_Expected_for_Nearly_15_Years_Alread.shtml 2416 /n/2025/09/10/Blaming_Everything_on_China.shtml 2400 /n/2025/09/10/ Brett_Wilson_LLP_Accepts_That_the_Serial_Strangler_From_Microso.shtml 2396 /n/2025/09/13/Linux_Mint_9_11_4th_One_Today_in_Reddit.shtml 2396 /n/2025/09/11/Disable_Secure_Boot_If_It_Lets_You.shtml 2383 /n/2025/09/10/ People_Get_Tired_of_Hey_Hi_AI_Unlike_the_Subservient_Money_Obse.shtml 2375 /n/2025/09/13/ European_Corruption_in_the_European_Patent_Office_EPO_Targets_C.shtml 2355 /n/2025/09/09/ It_s_Only_the_Second_Week_of_September_and_Already_Two_Waves_of.shtml 2325 /n/2025/09/12/The_Mind_of_the_Hulk_Hogan_of_UEFI.shtml 2301 /n/2025/09/10/ Links_10_09_2025_Microsoft_Layoffs_in_RTO_Clothing_and_Windows_.shtml 2281 /n/2025/09/11/ Microsoft_Admits_the_Workers_Have_Lost_Trust_Endless_Layoffs_12.shtml 2278 /n/2025/09/11/ UEFI_9_11_Aftermath_Part_III_Mr_Secure_Boot_Shim_and_His_Fake_H.shtml 2277 /n/2025/09/13/ The_Apache_Logo_News_is_VERY_Old_Racists_and_Anti_Woke_Bigots_L.shtml 2277 /n/2025/09/11/ The_UEFI_9_11_Part_X_An_Outline_of_the_Series_About_Microsoft_S.shtml 2264 /n/2025/09/13/ Nepal_Will_Fall_Without_a_Single_Shot_Fired_Thanks_to_Social_Co.shtml 2253 /n/2025/09/11/ UEFI_9_11_Aftermath_Part_I_I_Believe_This_Affects_Thousands_of_.shtml ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠟⣛⡫⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⢛⣫⣧⣷⣾⣯⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡀⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⢛⣯⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠈⠛⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢟⣛⣩⣥⣶⣾⣿⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⠟⠋⠛⠟⠋⠋⠻ ⠀⠀⠀⠉⠛⠛⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣷⣿⣿⣿⣿⣿⣿⣿⡟⢸⣿⣿⣿⣿⣿⡿⡿⡟⡿⠋⠛⢸⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣷⣿⢟⣿⣿⠟⢿⢻⣿⣿⣿⣿⣿⣿⣿⠃⠈⠛⣫⣏⢸⣷⡁⠀⠀⠁⠀⢀⣀⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⣠⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⡿⢹⠁⢹⣿⠁⠈⠀⢿⢿⡿⠻⠿⠿⠛⠀⠀⣀⣭⣬⣷⣶⣶⣶⠞⠿⠿⠛⠻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⡟⠋⢁⠀⠀⠘⠏⠀⠀⠀⣴⣶⣶⠶⠿⠿⠿⠟⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢹⡏⠉⠉⠙⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣯⡿⠿⠷⠶⠟⠛⠛⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠠⠄⠈⠃⠺⠿⡟⢛⡛⢋⠉⠉⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠐⠂⠀⠉⠉⠀⠈⠀⠀⠁⠀⠀⠐⠒⠄⠀⡀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠉⠀⠀⠀⠐⠂⠀⠀⠀⠀⠄⠐⠠⠀⠀⠀⠀⠀⠅⠀⠂⠄⠀⠀⠀⠀⠀⠀⠀⠂⠀⠂⠀⠀⠐⠀⠀⠀⠀⢀⠄⠀⠀⠀⢠⠀⠀⠀⣠⠠⡀⠃⡀⠀⠤⠀⠐⣀⠀⠀⡀⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠈⠀⠘⠀⠀⠈⠀⠠⠀⠀⠀⠀⠂⠀⠁⠐⠀⠀⠙⠀⠁⠀⠐⠀⠀⠀⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ䷩ 𝚕𝚒𝚗𝚎 3535 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/today_s_howtos.1.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/today_s_howtos.1.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ today's howtos⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Sep 16, 2025 * ⚓ Sven_Hoexter:_HaProxy:_Configuring_SNI_for_a_TLS_Proxy⠀⇛ If you use HaProxy to e.g. terminate TLS on the frontend and connect via TLS to a backend, one has to take care of sending the SNI (server name indication) extension in the TLS handshake sort of manually. Even if you use host names to address the backend server, e.g. * ⚓ Sven_Hoexter:_Surveillance_Giant_Google_Cloud:_When_the_Load_Balancer Frontend_Hands_you_an_F⠀⇛ If someone hands you an IP:Port of a Surveillance Giant Google Cloud load balancer, and tells you to connect there with TLS, but all you receive in return is an F (and a few other bytes with none printable characters) on running openssl s_client - connect ..., you might be missing SNI (server name indication). Sadly the other side was not transparent enough to explain in detail which exact type of Surveillance Giant Google Cloud load balancer they used, but the conversation got more detailed and up to a working TLS connection when the missing -servername foobar.host.name was added. I could not find any sort of official documentation on the responses of the GFE (the frontend part) when TLS parameters do not match the expectations. Also you won't have anything in the logs, because logging at Surveillance Giant Google Cloud is a backend function, and as long as your requests do not reach the backend, there are no logs. That makes it rather unpleasant to debug such cases, when one end says "I do not see anything in the logs", and the other one says "you reject my connection and just reply F". * ⚓ MWL ☛ Launching_tomorrow:_“Networking_for_System_Administrators,_2nd edition”⠀⇛ The N4SA2e Kickstarter opens tomorrow, about 8AM EDT. Why “about?” The launch is manual. I must log in and hit a button. The first 512 bytes of my brainstem are barely enough to hold the instructions for obtaining caffeine, so it won’t be first thing. * ⚓ Linux Host Support ☛ HTTP_423_Error_Locked:_What_is_it_and_how_to_fix it?⠀⇛ In this blog post, we will explain what the HTTP 423 Locked Error is and how to resolve it. The HTTP 423 Error Locked indicates that the requested resource is locked and can not be accessed or modified. This usually occurs when the resource is already in use by another user or process. * ⚓ TuMFatig ☛ Redundant_DHCP_and_DNS_Resolver_using_OpenBSD⠀⇛ One of my OpenBSD server provides DHCP and DNS resolving for my home LAN. But it sometimes has to go into maintenance mode. And if an IoT or phone requires an IP address or an FQDN at the precise moment, I hear screaming throughout the whole house. So I decided to have fully redundant network services using two OpenBSD servers. * § idroot⠀➾ o ⚓ ID Root ☛ How_To_Install_Abusive_Monopolist_Microsoft_SQL_Server on_Linux_Mint_22 [Ed: Microsoft SQL Server does not run on any Linux; it runs on Drawbridge, but the myths/lies live on]⠀⇛ o ⚓ ID Root ☛ How_To_Install_Miniconda_on_AlmaLinux_10⠀⇛ Miniconda represents a lightweight, minimal installation of the conda package management system and Python distribution. Unlike the full Anaconda package that includes hundreds of pre-installed scientific packages, Miniconda provides only the essential components: Python, conda package manager, and their dependencies. o ⚓ ID Root ☛ How_To_Enable_Automatic_Security_Updates_on_Debian⠀⇛ Keeping a Debian system secure requires consistent application of security patches and updates. Manual update management can become overwhelming, especially when managing multiple servers or systems. Fortunately, Debian provides powerful tools to automate security updates, ensuring systems remain protected without constant manual intervention. The unattended-upgrades package serves as Debian’s primary mechanism for automated security updates. ䷩ 𝚕𝚒𝚗𝚎 3657 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/today_s_howtos.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/today_s_howtos.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ today's howtos⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Sep 16, 2025 * ⚓ TecMint ☛ How_to_Upgrade_to_Linux_Mint_22.2_“Zara”⠀⇛ It’s not a completely new base, but it continues to build on Ubuntu’s 24.04 LTS and keeps many of the 22.x features, but introduces numerous refinements, new apps, visual polish, and improved hardware support. * ⚓ How_to_Install_Gambas_on_FunOS⠀⇛ If you’re interested in creating desktop applications with a Visual Basic–like development environment on Linux, Gambas is an excellent choice. Gambas (which stands for Gambas Almost Means BASic) provides an Integrated Development Environment (IDE) and a full suite of tools for rapid application development (RAD). * § idroot⠀➾ o ⚓ ID Root ☛ How_To_Install_Tabby_Terminal_on_Linux_Mint_22⠀⇛ Linux Mint 22, the latest iteration of this beloved distribution, continues to enhance the user experience with its refined Cinnamon desktop environment and robust system foundation. However, the default terminal emulator, while functional, may not satisfy the growing demands of developers, system administrators, and power users who require advanced features for their daily workflows. o ⚓ ID Root ☛ How_To_Install_Ntopng_on_Rocky_GNU/Linux_10⠀⇛ Network monitoring has become an essential component of modern IT infrastructure management. As organizations increasingly rely on digital communications and data transfer, the ability to monitor network traffic in real- time provides invaluable insights into system performance, security threats, and resource utilization. o ⚓ ID Root ☛ How_To_Install_VeraCrypt_on_Rocky_GNU/Linux_10⠀⇛ Rocky GNU/Linux 10 represents a significant milestone in enterprise-grade GNU/Linux distributions, offering robust security features and stability. When it comes to protecting sensitive data on this platform, VeraCrypt stands out as the premier encryption solution. o ⚓ ID Root ☛ How_To_Install_PyCharm_on_Debian_13⠀⇛ PyCharm stands as the premier Python integrated development environment (IDE), offering developers a comprehensive platform for Python programming, web development, and data science projects. o ⚓ ID Root ☛ How_To_Install_DBeaver_on_GNU/Linux_Mint_22⠀⇛ Linux Mint 22 users seeking a powerful, universal database management tool will find DBeaver to be an exceptional choice for their database administration needs. This comprehensive guide explores multiple installation methods, ensuring you can successfully deploy DBeaver regardless of your technical experience level. o ⚓ ID Root ☛ How_To_Install_Hazelcast_on_Ubuntu_24.04_LTS⠀⇛ Hazelcast stands as a powerful in-memory data grid platform that revolutionizes distributed computing for modern applications. Ubuntu 24.04 LTS provides the perfect foundation for deploying this robust clustering solution with its enhanced stability and long-term support guarantees. Installing Hazelcast on Ubuntu 24.04 LTS opens doors to high-performance distributed caching, real-time analytics, and scalable microservices architectures. * ⚓ Rachel ☛ Sometimes_you_want_to_skip_that_CGI_Status_header⠀⇛ The problem comes from the fact that I wrote a dumb little library to handle CGI stuff a while back, and one of the things it does is to make sure that every single request gets some kind of response. It starts out with status set to 500 (as in "server error"), and it's on you and your handler to set it to something appropriate. This way, nothing goes out the door until you do all of the work required to set everything up properly: the fact it's a 200, an appropriate content-type, access controls on who/what can load it, and all of that other good stuff. Then it always sends a Status header which matches its internal state. * ⚓ James G ☛ A_255_byte_web_page⠀⇛ Tantek, in celebration of 8-Bit Day (the 265th day of the year), published a blog post with the following challenge: [...] * ⚓ University of Toronto ☛ Access_control_rules_need_some_form_of_usage counters⠀⇛ Today, for reasons outside the scope of this entry, I decided to spend some time maintaining and pruning the access control rules for Wandering Thoughts, this blog. Due to the ongoing crawler plague (and past abuses), Wandering Thoughts has had to build up quite a collection of access control rules, which are mostly implemented as a bunch of things in an Apache .htaccess file (partly 'Deny from ...' for IP address ranges and partly as rewrite rules based on other characteristics). The experience has left me with a renewed view of something, which is that systems with access control rules need some way of letting you see which rules are still being used by your traffic. * ⚓ Joshua Kennedy ☛ Wanted_to_spy_on_my_dog,_ended_up_spying_on_TP-Link⠀⇛ I recently bought a cheap Tapo indoor camera to see what my dog gets up to when I am out of the house. What actually followed? I ended up reverse-engineering onboarding flows, decompiling an APK, MITMing TLS sessions, and writing cryptographic scripts. My main motivation for this project really stemmed from the fact that the camera annoyed me from day one. Setting the camera up in frigate was quite painful, no one really seemed to know how these cameras worked online. ䷩ 𝚕𝚒𝚗𝚎 3826 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/today_s_leftovers.1.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/today_s_leftovers.1.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ today's leftovers⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Sep 16, 2025 * § Distributions and Operating Systems⠀➾ o ⚓ HaikuOS ☛ Haiku_Activity_&_Contract_Report,_August_2025⠀⇛ This report covers hrev58987 through hrev59021. § git status performance optimizations git status has long been, for large repositories, a much slower operation on Haiku than on Linux. There are a lot of reasons for this, but the most significant one is lock contention in disk caches. Last month, waddlesplash spent a bunch of time refactoring the disk block and directory entry caching logic in the kernel to be able to use atomic operations rather than exclusive locks in the most common cases (reading an already-cached block, and inserting a new entry into the entry cache.) These sorts of changes are tricky to write and tougher to test (any bugs in them that aren’t immediately obvious will likely be due to race conditions, and can usually only be found by analyzing code carefully, as all other means of trying to catch them generally change timing enough that they won’t occur). o § BSD⠀➾ # ⚓ NetBSD ☛ Google_Summer_of_Code_2025_Reports:_Enhancing Support_for_NAT64_Protocol_Translation_in_NetBSD⠀⇛ This report was written by Dennis Onyeka as part of Surveillance Giant Google Summer of Code 2025. The goal of the NAT64 project is to implement IPv6- to-IPv4 translation inside NPF (NetBSD Packet Filter). NAT64 enables IPv6-only clients to communicate with IPv4-only servers by embedding/ extracting IPv4 addresses in IPv6 addresses as per RFC 6052 and RFC 6145. We are using a 1:1 mapping for now, to implement NAT64 translation. o § Productivity Software/LibreOffice/Calligra⠀➾ # ⚓ Phoronix ☛ "Rustmaker"_Merged_For_LibreOffice_26.2 Development_As_Latest_Rust_Integration [Ed: So people won't understand the code; see what it did to Linux]⠀⇛ For fans of open-source projects embracing the Rust programming language, merged for the LibreOffice 26.2 development code for this open-source office suite is "Rustmaker" as a Rust code maker for UNO integration with this open-source office suite... ䷩ 𝚕𝚒𝚗𝚎 3910 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/09/16/today_s_leftovers.shtml Gemini version at gemini://gemini.tuxmachines.org/n/2025/09/16/today_s_leftovers.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ today's leftovers⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Sep 16, 2025 * § Distributions and Operating Systems⠀➾ o § New Releases⠀➾ # ⚓ Barry Kauler ☛ EasyOS_Excalibur-series_version_7.0.11 released⠀⇛ Another one! These are all minor version bumps since 7.0, mostly fixing bugs, also applying refinements and improvements. Heading toward version 7.1, coming soon. Here are the highlights since 7.0.9: [...] o § Debian Family⠀➾ # ⚓ Purism ☛ PureOS_Crimson:_August_2025_–_Alpha_Released⠀⇛ o § Canonical/Ubuntu Family⠀➾ # ⚓ Ubuntu ☛ Canonical_announces_it_will_support_and_distribute NVIDIA_CUDA_in_Ubuntu⠀⇛ CUDA is a parallel computing platform and programming model  that lets developers use NVIDIA GPUs for general-purpose processing. It exposes the GPU’s Single-Instruction Multiple Thread (SIMT) architecture, enabling fine-grained control over threads, memory hierarchies, and kernels to accelerate large-scale numerical and tensor operations. o § Open Hardware/Modding⠀➾ # ⚓ Tom's Hardware ☛ Engineer_creates_‘blazingly_fast’_web server_powered_by_a_disposable_vape_—_'VapeServer'_powered_by 24_MHz_Arm_chip_with_24_kilobytes_of_flash,_3KB_of_SRAM⠀⇛ Disposable vapes can contain a surprising amount of computing power/components. Bogdan had been collecting discarded units for ‘future projects’ for a couple of years, with eyes on reusing the batteries. However, he recently became aware of “fancier” units that pack more advanced ICs and microcontrollers. They didn’t just contain PCBs with unknown ‘blob chips.’ He found some with more advanced microcontrollers. Bogdan says one of the fancier units he disassembled contained an IC marked ‘PUYA C642F15.’ This sparked some research, and the engineer determined that this was actually a PY32F002B, which has the following specs: [...] # ⚓ Torrent Freak ☛ ReVanced_Complies_With_Spotify_Takedown_But Explores_Options_to_Fight_Back⠀⇛ ReVanced, a popular open-source project that provides patches for various Android applications, has pulled its Spotify Premium workaround. The developers complied with a Spotify takedown notice to avoid escalation but do not necessarily agree with the position as stated. The team is currently seeking legal advice and will consult GitHub to see if they can fight back. # ⚓ Tom's Hardware ☛ Enthusiast_didn't_like_the_Framework_13's mushy_keyboard,_so_he_built_a_custom_version_with_a_full mechanical_keyboard_—_also_added_mechanical_dials_to_control volume,_brightness,_and_backlighting⠀⇛ The laptop dubbed the Campus is a custom 13-inch laptop made from Framework 13 laptop components. The chassis was designed and made entirely from scratch and designed to accommodate a fully custom low-profile mechanical keyboard that Flurples built himself using KL Chalk switches. * § Free, Libre, and Open Source Software⠀➾ o § Content Management Systems (CMS) / Static Site Generators (SSG)⠀➾ # ⚓ Nicolas Magand ☛ Reading_my_blog⠀⇛ This weekend I spent hours tweaking little cosmetic and technical aspects of this blog. I finally managed to change the HTML of the footnotes, which I am happy to say is now an