Tux Machines Bulletin for Sunday, January 12, 2025 ┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅ Generated Mon 13 Jan 02:49:44 GMT 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 - 3D Printing, Retro, and Open Hardware ⦿ Tux Machines - Amarok 3.2.1 released and Skrooge 25.1.0 released ⦿ Tux Machines - Android and Linux-based Smart TFT displays simplify embedded development ⦿ Tux Machines - Breaches, Blame-shifting, and Windows TCO ⦿ Tux Machines - Desktop/Laptop GNU/Linux: Asus Zenbook S 13 OLED UX5304MA and Project DIGITS PC ⦿ Tux Machines - Free and Open Source Software ⦿ Tux Machines - Ghostty is a beautiful new terminal emulator for macOS and Linux that you should try ⦿ Tux Machines - Git 2.48 Is Out with Faster SHA-1s, Meson Takes the Stage ⦿ Tux Machines - GNU/Linux and Free Software Leftovers ⦿ Tux Machines - How to Switch Primary GPU to NVIDIA on Wayland for KDE Plasma and GNOME ⦿ Tux Machines - Krita brushes 2025-01 bundle ⦿ Tux Machines - Latest From FSF and Various Attacks on Software Freedom ⦿ Tux Machines - Linux Devices/Embedded Gear With GPUs Rebranded as "Hey Hi" (AI) ⦿ Tux Machines - Mecha Comet: A Linux Handheld Built for Customization ⦿ Tux Machines - NuTyX – flexible Linux distribution ⦿ Tux Machines - Plasma Crash Course - Sentry ⦿ Tux Machines - Programming Leftovers ⦿ Tux Machines - The FSF's Fortress of Freedom ⦿ Tux Machines - Thinking Out Of The Vox ⦿ Tux Machines - This Week in GNOME #182 Updated Crypto ⦿ Tux Machines - This Week in Plasma: Final Plasma 6.3 Features ⦿ Tux Machines - Today in Techrights ⦿ Tux Machines - today's howtos ⦿ Tux Machines - today's leftovers ⦿ Tux Machines - Top Linux Distros for Ethical Hacking ⦿ Tux Machines - Voyager Linux Offers a User-Friendly, Customized GNOME ⦿ Tux Machines - Waddling the Waddle ䷼ Bulletin articles (as HTML) to comment on (requires login): https://tuxmachines.org/n/2025/01/12/3D_Printing_Retro_and_Open_Hardware.shtml https://tuxmachines.org/n/2025/01/12/Amarok_3_2_1_released_and_Skrooge_25_1_0_released.shtml https://tuxmachines.org/n/2025/01/12/Android_and_Linux_based_Smart_TFT_displays_simplify_embedded_de.shtml https://tuxmachines.org/n/2025/01/12/Breaches_Blam_shifting_and_Windows_TCO.shtml https://tuxmachines.org/n/2025/01/12/Desktop_Laptop_GNU_Linux_Asus_Zenbook_S_13_OLED_UX5304MA_and_Pr.shtml https://tuxmachines.org/n/2025/01/12/Free_and_Open_Source_Software.shtml https://tuxmachines.org/n/2025/01/12/Ghostty_is_a_beautiful_new_terminal_emulator_for_macOS_and_Linu.shtml https://tuxmachines.org/n/2025/01/12/Git_2_48_Is_Out_with_Faster_SHA_1s_Meson_Takes_the_Stage.shtml https://tuxmachines.org/n/2025/01/12/GNU_Linux_and_Free_Software_Leftovers.shtml https://tuxmachines.org/n/2025/01/12/How_to_Switch_Primary_GPU_to_NVIDIA_on_Wayland_for_KDE_Plasma_a.shtml https://tuxmachines.org/n/2025/01/12/Krita_brushes_2025_01_bundle.shtml https://tuxmachines.org/n/2025/01/12/Latest_From_FSF_and_Various_Attacks_on_Software_Freedom.shtml https://tuxmachines.org/n/2025/01/12/Linux_Devices_Embedded_Gear_With_GPUs_Rebranded_as_Hey_Hi_AI.shtml https://tuxmachines.org/n/2025/01/12/Mecha_Comet_A_Linux_Handheld_Built_for_Customization.shtml https://tuxmachines.org/n/2025/01/12/NuTyX_flexible_Linux_distribution.shtml https://tuxmachines.org/n/2025/01/12/Plasma_Crash_Course_Sentry.shtml https://tuxmachines.org/n/2025/01/12/Programming_Leftovers.shtml https://tuxmachines.org/n/2025/01/12/The_FSF_s_Fortress_of_Freedom.shtml https://tuxmachines.org/n/2025/01/12/Thinking_Out_Of_The_Vox.shtml https://tuxmachines.org/n/2025/01/12/This_Week_in_GNOME_182_Updated_Crypto.shtml https://tuxmachines.org/n/2025/01/12/This_Week_in_Plasma_Final_Plasma_6_3_Features.shtml https://tuxmachines.org/n/2025/01/12/Today_in_Techrights.shtml https://tuxmachines.org/n/2025/01/12/today_s_howtos.shtml https://tuxmachines.org/n/2025/01/12/today_s_leftovers.shtml https://tuxmachines.org/n/2025/01/12/Top_Linux_Distros_for_Ethical_Hacking.shtml https://tuxmachines.org/n/2025/01/12/Voyager_Linux_Offers_a_User_Friendly_Customized_GNOME.shtml https://tuxmachines.org/n/2025/01/12/Waddling_the_Waddle.shtml ䷩ 𝚕𝚒𝚗𝚎 94 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/01/12/3D_Printing_Retro_and_Open_Hardware.shtml Gemini version at https://tuxmachines.org/n/2025/01/12/3D_Printing_Retro_and_Open_Hardware.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 3D Printing, Retro, and Open Hardware⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Jan 12, 2025 * ⚓ AJ Bourg ☛ 3d_Printing⠀⇛ Last October, I got back into 3d printing. After doing a bit of research, I decided on the Bambu Lab A1, with AMS Lite which allows you to print in 4 different colors. * ⚓ Chuck Grimmett ☛ From_firewood_to_oak_dish⠀⇛ Once sanded, I took it out of the regular chuck and put it on a jam chuck to remove the tenon. * ⚓ Andrew Hutchings ☛ The_Roland_MT-32:_The_Ultimate_late-80s_Gaming Sound⠀⇛ One of the projects I wanted to do with my new 486 PC was to try out a Roland MT-32 with it. The MT-32 is a MIDI synthesiser that was used to help compose many late-80s games. Many of these games sound amazing with an MT-32, so, like many before me, I decided to talk about it. * ⚓ Hackaday ☛ Life_Without_Limits:_A_Blind_Maker’s_Take_On_3D_Printing⠀⇛ In the world of creation, few stories inspire as much as [Mrblindguardian], a 33-year-old who has been blind since the age of two, but refuses to let that hold him back. Using OpenSCAD and a 3D printer, [Mrblindguardian] designs and prints models independently, relying on speech software and touch to bring his ideas to life. His story, published on his website Accessible3D.io, is a call to action for makers to embrace accessibility in their designs and tools. * ⚓ Tom's Hardware ☛ This_3D-printed_Raspberry_Pi_all-in-one_is_made_for portable_gaming⠀⇛ Arnov Sharma has put together a beautiful all-in-one Raspberry Pi box that's portable and made for gaming on the go. * ⚓ Hackaday ☛ Tactility;_The_ESP32_Gets_Another_OS⠀⇛ Doing the rounds this week is a new operating system for ESP32 microcontrollers, it’s called Tactility, and it comes from [Ken Van Hoeylandt]. It provides a basic operating system level with the ability to run apps from an SD card, and it has the choice of a headless version or an LVGL-based touch UI. * ⚓ Hackaday ☛ Bit-Banging_The_USB-PD_Protocol⠀⇛ For one-off projects, adding a few integrated circuits to a PCB is not too big of a deal. The price of transistors is extremely low thanks to Moore and his laws, so we’re fairly free to throw chips around like peanuts. But for extremely space-constrained projects, huge production runs, or for engineering challenges, every bit of PCB real estate counts. [g3gg0] falls into the latter group, and this project aims to remove the dedicated USB-PD module from a lighting project and instead bit-bang the protocol with the ESP32 already on the board. ䷩ 𝚕𝚒𝚗𝚎 182 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/01/12/Amarok_3_2_1_released_and_Skrooge_25_1_0_released.shtml Gemini version at https://tuxmachines.org/n/2025/01/12/Amarok_3_2_1_released_and_Skrooge_25_1_0_released.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Amarok 3.2.1 released and Skrooge 25.1.0 released⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Rianne Schestowitz on Jan 12, 2025, updated Jan 12, 2025 * ⚓ Amarok_3.2.1_released_-_KDE_Blogs⠀⇛ The Amarok Development Squad is happy to announce the immediate availability of Amarok 3.2.1, the first bugfix release for Amarok 3.2 "Punkadiddle"! 3.2.1 features fixes for some small UI bugs, improvements for file transfers to MTP devices, and some compilation fixes for different combinations of Qt6 versions and compilers, enabling easier testing of Qt6 builds. Additionally, it is now theoretically possible to enable last.fm and gpodder.net support in a Qt6 build. However, this requires Qt6 support in liblastfm and libmygpo-qt; a functionality that is not yet included in the most recent released versions of the libraries. * ⚓ Skrooge_25.1.0_released_-_Skrooge⠀⇛ The Skrooge Team announces the release 25.1.0 version of its popular Personal Finances Manager based on KDE Frameworks. This is the first version for Kf6/Qt6. Linuxiac: * ⚓ KDE's_Amarok_3.2.1_Music_Player_Brings_Better_Qt6_Support⠀⇛ The developers behind the popular free and open-source music player Amarok announced the immediate availability of version 3.2.1, which marks the first bugfix iteration for the Amarok 3.2 “Punkadiddle” series, released in late December. The new release addresses several minor inconsistencies. For instance, the update refines file transfer capabilities to MTP devices, meaning syncing your favorite songs to compatible media players or smartphones should now be faster and more reliable. In addition, the release introduces compilation fixes targeting various Qt6 and compiler combinations, effectively making it easier for developers and curious tinkerers to experiment with Qt6-based builds. ䷩ 𝚕𝚒𝚗𝚎 254 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/01/12/Android_and_Linux_based_Smart_TFT_displays_simplify_embedded_de.shtml Gemini version at https://tuxmachines.org/n/2025/01/12/Android_and_Linux_based_Smart_TFT_displays_simplify_embedded_de.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Android and Linux-based Smart TFT displays simplify embedded development⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Jan 12, 2025 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Android_and_Linux-based_Smart_TFT_displays⦈_ Display solutions and embedded systems provider, Review Display Systems (RDS) has announced a new range of Android and Linux-based smart displays from a leader in advanced display solutions, DWIN. The innovative display modules have been designed to aid and assist embedded system development and provide engineers with easy-to-use tools to create user- friendly, interactive graphical user interfaces for industrial, security, healthcare and retail applications. The DWIN smart TFT display range is based on robust Android and Linux platforms, offering flexibility and scalability for a wide array of applications. Read_on ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠿⠿⠿⠿⠿⠿⠿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠙⣋⣉⣉⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⢸⣇⣀⣀⣀⣀⡀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⣰⡇⠀⠀⠀⠀⢽⣿⠄⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⣰⡿⢀⣔⣀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⢿⣿⣿⠟⠋ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠂⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣁⣴⡤⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⠀⠄⣴⣦⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⣀⣀⡀⠀⠀⠐⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶ ⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠌⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠿⠷⠄⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡄⠈⠩⢿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣠⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠈⡅⠀⠈⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠻⣿⣿⡿⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿ ⠀⠀⠀⠀⠀⠘⡀⠀⠀⠀⠀⠉⠩⠿⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿ ⠀⠀⠀⠀⠀⠀⣡⡀⠀⠀⠀⠀⠀⠀⠀⠘⢿⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⠀⠀⠀⠀⠀⠈⠛⢿⠗⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣹⣿⣿⣿⠀⠀⢸⣙⣱⠀⠀⣼⠃⠀⠀⠸⣿⣷⠀⠀⣴⣷⠄⠀⠀⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣠⣤⣀⠀⢀⣤⣤⡀⠀⣤⣤⣤⡄⢀⣤⣤⡄⠀⠀⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⠛⢿⣿⡟⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡀⢉⡀⠀⠀⠀⠀⢡⣄⡀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢠⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣷⠄⠀⠀⠀⠀⠈⠙⠿⠉⠉⠁⠀⠉⠻⣿⣍⠉⠭⠽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⡐⠂⠻⣿⣯⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 318 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/01/12/Breaches_Blam_shifting_and_Windows_TCO.shtml Gemini version at https://tuxmachines.org/n/2025/01/12/Breaches_Blam_shifting_and_Windows_TCO.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Breaches, Blame-shifting, and Windows TCO⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Jan 12, 2025, updated Jan 12, 2025 * ⚓ Silicon Angle ☛ Report:_Chinese_hackers_breached_US_government_office that_reviews_foreign_investments⠀⇛ Chinese state-backed hackers have breached a U.S. government office that reviews foreign investments for national security risks, CNN reported today. The Committee on Foreign Investment in the U.S., or CFIUS, is headed by U.S. Treasury Secretary Janet Yellen. * ⚓ Scoop News Group ☛ CISA_report_touts_cyber_hygiene_enrollment_surge_for critical_infrastructure_orgs⠀⇛ The cyber agency said that surge has fueled “a moderate impact” in CI sectors meeting its cybersecurity performance goals. * § Windows TCO / Windows Bot Nets⠀➾ o ⚓ Tom's Hardware ☛ Chinese_hackers_target_US_Treasury_computers used_for_sanctions_—_Committee_on_Foreign_Investment_specifically targeted⠀⇛ Chinese hackers gained access to an unclassified CFIUS system. o ⚓ CBC ☛ Cyberattacks_can_take_entire_school_networks_out._It's_time to_pay_more_attention_to_them,_experts_say [Ed: PowerSchool_is_a Microsoft_proxy_of_sorts]⠀⇛ Students in one Ontario board returned from winter break this past Monday to classrooms with no [Internet] and disrupted communications thanks to a cyber incident. Days later, multiple school divisions across Canada — including the country's largest — informed families about a significant data breach connected to PowerSchool, a widely used outside provider that manages functions like students' personal information and communication with parents. o ⚓ Maine Morning Star ☛ School_software_provider_is_the_latest target_of_major_[compromise]_of_personal_data⠀⇛ The names, phone numbers and emails of parents and guardians were also potentially compromised, the company said. Hackers were able to use a stolen credential, or login, to access the internal customer support portal, the company said. PowerSchool currently has 16,000 customers, and is used by more than 50 million students across North America, the company confirmed. o ⚓ Michigan Advance ☛ School_software_provider_is_the_latest_target of_major_[compromise]_of_personal_data⠀⇛ The breach happened at the end of December, and new information confirmed by TechCrunch Thursday morning says that hackers were able to access student addresses, Social Security numbers, grades and medical information on the platform, which schools use for student records, grades, attendance and enrollment. ䷩ 𝚕𝚒𝚗𝚎 408 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/01/12/Desktop_Laptop_GNU_Linux_Asus_Zenbook_S_13_OLED_UX5304MA_and_Pr.shtml Gemini version at https://tuxmachines.org/n/2025/01/12/Desktop_Laptop_GNU_Linux_Asus_Zenbook_S_13_OLED_UX5304MA_and_Pr.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Desktop/Laptop GNU/Linux: Asus Zenbook S 13 OLED UX5304MA and Project DIGITS PC⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Jan 12, 2025 * ⚓ Barry Kauler ☛ Asus_Zenbook_S_13_OLED_UX5304MA_laptop⠀⇛ I bought one. This has a very recent kernel; defective chip maker Intel Core Ultra 7 155U, hence the 6.12.9 kernel compile posted about earlier today: * Linux_kernel_6.12.9_compiled_in_Scarthgap — January 10, 2025 Already have four laptops, do I really need another? Two reasons for the purchase. Firstly, for testing EasyOS -- someone recently contacted me to report getting a black screen trying to bootup on this CPU. Secondly, for touring. * ⚓ ZDNet ☛ Thanks_to_Nvidia,_there's_a_new_generation_of_PCs_coming,_and they'll_be_running_Linux⠀⇛ OK, maybe you wouldn't pay three grand for a Project DIGITS PC. But what about a $1,000 Blackwell PC from Acer, Asus, or Lenovo? ䷩ 𝚕𝚒𝚗𝚎 449 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/01/12/Free_and_Open_Source_Software.shtml Gemini version at https://tuxmachines.org/n/2025/01/12/Free_and_Open_Source_Software.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Free and Open Source Software⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Rianne Schestowitz on Jan 12, 2025 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇A_woman_lying_down_on_the_floor_reading_book⦈_ * ⚓ Fast_Reader_-_read_text_quickly_and_effectively_-_LinuxLinks⠀⇛ Fast Reader is a versatile application designed to assist users in reading text swiftly and effectively. Developed using the GTK library in C++, this program offers a customizable interface to enhance the reading experience. This is free and open source software. * ⚓ Fruit_Credits_-_keep_plain_text_accounts_-_LinuxLinks⠀⇛ Fruit Credits is a double-entry accounting app based on the command-line tool hledger. It’s a quick and friendly way to log transactions and track your finances. And because it’s just a plain text file under the hood, you don’t need to worry about the developer abandoning this app, or selling your data. Fruit Credits works perfectly on small screens, so it’s perfect for recording transactions when you’re out-and-about. Fruit Credits is pre-release software. Data loss may occur. Not all features are implemented. This is free and open source software. * ⚓ NERDTree_-_tree_explorer_plugin_for_Vim_-_LinuxLinks⠀⇛ NERDTree is a file system explorer for the Vim editor. Using this plugin, users can visually browse complex directory hierarchies, quickly open files for reading or editing, and perform basic file system operations. NERDTree can be extended with custom mappings and functions using its built-in API. This is free and open source software. * ⚓ GitFourchette_-_the_comfortable_Git_UI_for_Linux_-_LinuxLinks⠀⇛ GitFourchette offers a comfortable way to explore and understand your Git repositories. This software offers powerful tools to stage code, create commits, and manage branches. It sports a snappy and intuitive Qt UI designed to fit in snugly with KDE Plasma. This is free and open source software. ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢋⠋⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⡔⠁⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢀⠈⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⢀⠂⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⣾⢁⣖⣶⣀⡀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡛⣿⣿⡦⠀⠀⣖⣿⣿⣿⣿⣿⡟⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡏⢋⠉⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢠⣿⣿⣿⣿⣿⡿⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠘⣿⣿⣿⣿⣿⣿⣿⠿⡿⣿⣿⡇⠀⢸⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⡛⠉⠉⠙⠉⠉⠉⠉⠙⡟⠛⠿⠿⣿⣿⣿⣿⣷⠀⠀⣀⣀⣠⣤⣿⣿⠶⠿⠿⠅⠀⠘⠛⠯⠬⠬⠥⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿ ⣤⣤⣿⣯⣭⣭⣭⣍⣁⣀⣠⣄⣀⣠⣀⣠⣤⣤⣤⣬⣿⣭⣭⣭⣭⣤⣤⣁⣀⣀⣄⣀⣀⣀⣤⣴⣶⣿⣿⣿⣿⣿⣿⣧⢷⣶⣶⣶⣶⣾⣥⣤⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢫⣿⣿⣿⣿⡿⣿⣧⣿⣻⣿⡿⠉⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢿⣿⣗⡄⢠⣍⣉⣉⡉⠉⠉⠙⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠛⠻⢿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⢸⣿⣿⣿⣿⣶⣿⣿⣿⣿⡟⠀⢠⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⡿⢻⡿⠁⠀⠀⢿⡿⠁⠘⡟⠿⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⢠⣿⣤⣀⣈ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠙⠿⠿⢿⣿⡿⠟⠀⠀⢠⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⣤⣼⣿⡄⠀⠀⢹⣷⠄⢤⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣋⠀⠀⠀⠀⠘⣿⣿⣿⣶⣶⡶⢶⣶⡶⢂⣤⣴⡞⢱⡆⢲⢀⣿⣿⡼⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿ ⣿⣿⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣾⣿⢏⡀⡸⣿⣿⠇⢸⡇⢸⠊⢻⣿⣿⣮⡛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠿⢿⣿⣿⣿⣿ ⣡⣤⣴⣶⣾⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠙⠻⣿⣿⣿⣟⣾⣯⣴⣿⡟⠀⢸⣿⠋⠀⢾⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉ ⣿⣿⣿⣯⣭⣅⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠓⠂⠀⠀⣴⣶⣬⣝⣻⠿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⣀⣀⣸⣿⣿⣿⠿⠛⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⢿⣿⣿⣿⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣾⣶⣶⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣤⣠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⡟⢿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣶⣪⣭⣙⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⢿⣿⠟⠽⠙⣃⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⡇⠱⠤⠄⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢄⣀⠈⠙⠛⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⢿⣿⣟⢿⠿⠟⢋⣩⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣄⣀⣤⣀⣀⠀⠀⠀⣀⣠⣴⣶⣶⣿⣿⠀⠛⠻⠿⢶⣦⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣶⣤⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣅⣀⠀⠈⠉⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⢿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣀⣀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⢿⣿⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 566 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/01/12/Ghostty_is_a_beautiful_new_terminal_emulator_for_macOS_and_Linu.shtml Gemini version at https://tuxmachines.org/n/2025/01/12/Ghostty_is_a_beautiful_new_terminal_emulator_for_macOS_and_Linu.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Ghostty is a beautiful new terminal emulator for macOS and Linux that you should try⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Rianne Schestowitz on Jan 12, 2025 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Ghostty⦈_ Quoting: Ghostty is a beautiful new terminal emulator for macOS and Linux that you should try — There are hundreds of terminal emulators out there for both Mac and Linux devices, with fan favorites being the likes of iTerm2 and Alacritty. However, Ghostty is a new terminal emulator that has just left beta, and it has a few features that alternatives don't while focusing on being fast and responsive. It might not be your next permanent terminal emulator, but it's one to keep an eye on. For the basic premise of Ghostty, I'll simply quote the lead developer behind the project and what his goals were. 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One of the standout achievements in this update involves speeding up SHA-1 calculations used strictly for checksums. In light of this, early benchmarks from GitHub indicate a 10–13% performance improvement for clone operations across all repositories. Read_on ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣾⢶⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣤⣤⣶⣶⣶⣶⣿⣶⣾⣿⣿⣾⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⣠⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⣠⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⠰⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⣾⣿⣿⠉⠀⠈⣿⣿⣷⠀⠀⠀⣿⣿⣿⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠤⠀⠀⢻⣿⣿⣦⣤⣴⣿⣿⡟⠀⠀⠀⣿⣿⣿⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⢀⣽⣿⠟⠿⠿⠛⠋⠀⠀⠀⠀⣿⣿⣿⠀⠀⢿⣿⣿⣇⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣶⣶⡄⢰⣿⣿⣿⣿⣿⠀⠘⢿⣿⣿⣿⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢀⣾⣿⡏⠙⠛⠛⠻⣿⣿⣿⠀⢠⣤⣦⡀⠀⠀⠀⣤⡄⢠⣴⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠻⣿⣿⣶⣶⣶⣿⣿⠿⠃⠀⠘⠃⣼⠇⠀⠀⣰⢿⡇⢸⣇⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⢀⡾⠋⠀⠀⢰⣏⣸⣇⣸⡏⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠷⠶⠆⠶⠈⠉⠹⠏⠹⢷⡾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⢲⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ䷩ 𝚕𝚒𝚗𝚎 713 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/01/12/GNU_Linux_and_Free_Software_Leftovers.shtml Gemini version at https://tuxmachines.org/n/2025/01/12/GNU_Linux_and_Free_Software_Leftovers.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ GNU/Linux and Free Software Leftovers⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Jan 12, 2025 * § GNU/Linux⠀➾ o § Kernel Space⠀➾ # ⚓ Barry Kauler ☛ Linux_kernel_6.12.9_compiled_in_Scarthgap⠀⇛ Have compiled this kernel as want to get EasyOS working on a computer with defective chip maker Intel Core Ultra 7 CPU. Why? -- that's another story. Started with the config file from the 6.6.67 kernel compile, updated the aufs patch, and off we go. # ⚓ LWN ☛ A_straggling_kernel_update⠀⇛ After yesterday's_stable_kernel_releases, Chris Clayton reported a build problem with 6.6.70, which prompted Greg Kroah-Hartman to release_6.6.71 to fix it. o § Applications⠀➾ # ⚓ Sergio_Talens-Oliag:_Testing_New_User_Tools⠀⇛ On recent weeks I’ve had some time to scratch_my own_itch on matters related to tools I use daily on my computer, namely the desktop / window manager and my text editor of choice. This post is a summary of what I tried, how it worked out and my short and medium-term plans related to them. ✐ Desktop / WM⠀✐ On the desktop / window manager front I’ve been using Cinnamon on Debian and Ubuntu systems since Gnome 3 was published (I never liked version 3, so I decided to move to something similar to Gnome_2, including the keyboard shortcuts). In fact I’ve never been a fan of Desktop environments, before Gnome I used OpenBox and IceWM because they where a lot faster than desktop systems on my hardware at the time and I was using them only to place one or two windows on multiple workspaces using mainly the keyboard for my interactions (well, except for the web browsers and the image manipulation programs). o § Instructionals/Technical⠀➾ # ⚓ peppe8o ☛ Private_chat_and_messaging_server_with Rocket.chat_and_Raspberry_PI⠀⇛ In this tutorial, I will show you how to create a self-hosted chat service with Rocket.chat and Raspberry PI computer board. This article shows how to install Rocket.chat for usage in internal LAN environments (home, office, and so on). # ⚓ LinuxBuz ☛ How_to_Use_Ping_Module_in_Ansible_with Examples⠀⇛ The ping module is part of the Ansible core and verifies connectivity between the control node and managed nodes. o § WINE or Emulation⠀➾ # ⚓ Wine_10.0-rc5⠀⇛ The Wine development release 10.0-rc5 is now available. o § Games⠀➾ # ⚓ GamingOnLinux ☛ Prime_Gaming_January_11th_2025_edition round-up_for_Linux_/_SteamOS_and_Steam_Deck⠀⇛ A little later than I planned, but here's the up to date list of games available on Amazon Prime Gaming, and what compatibility you can expect for Linux / SteamOS and Steam Deck. Each week Prime Gaming, part of what you get with a subscription to Amazon Prime, add and remove various games you can claim to keep. o § Desktop Environments/WMs⠀➾ # § K Desktop Environment/KDE SC/Qt⠀➾ # ⚓ Harald Sitter ☛ Plasma_Crash_Course_-_Sentry⠀⇛ A while ago a colleague of mine asked about our crash infrastructure in Plasma [...] * § Free, Libre, and Open Source Software⠀➾ o § Content Management Systems (CMS) / Static Site Generators (SSG)⠀➾ # ⚓ WordPress ☛ Joost/Karim_Fork⠀⇛ Making great software, great product that stands the test of time and not just survives but thrives through monumental technological shifts is incredibly hard. That challenge is part of the reason I love doing it. # ⚓ LWN ☛ Automattic_reduces_WordPress_contributions⠀⇛ Automattic has announced that it is reallocating its resources away from contributing to the WordPress project as a response to the WP Engine lawsuit: As part of this reset, Automattic will match its volunteering pledge with those made by WP Engine and other players in the ecosystem, or about 45 hours a week that qualify under the Five For the Future program as benefitting the entire community and not just a single company. These hours will likely go towards security and critical updates. ䷩ 𝚕𝚒𝚗𝚎 891 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/01/12/How_to_Switch_Primary_GPU_to_NVIDIA_on_Wayland_for_KDE_Plasma_a.shtml Gemini version at https://tuxmachines.org/n/2025/01/12/How_to_Switch_Primary_GPU_to_NVIDIA_on_Wayland_for_KDE_Plasma_a.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ How to Switch Primary GPU to NVIDIA on Wayland for KDE Plasma and GNOME⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Marius Nestor on Jan 12, 2025 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Switch_primary_GPU_on_Wayland⦈_ I’ve tested this tutorial on the GNOME and KDE Plasma desktop environments using Wayland since they’re the most popular amongst Linux users, but it should work on other desktops if they use either Plasma’s KWin or GNOME’s Mutter window and composite managers. I must emphasize that this tutorial is for those using Wayland by default. If you’re using an X11/Xorg session, you should check out the instructions I provided in my How to Connect Your Linux Laptop to an External Monitor (Fix for HDMI “No Signal” Issue) tutorial on how to switch the primary GPU to NVIDIA. Read_on ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠄⠀⣤⣤⣧⣀⣀⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣴⣦⣶⣿⣿⣿⣿⣿⣿⣿⢶⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⡧⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⡗⠆⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣧⣭⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣰⣀⡟⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⠿⢾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣶⣶⣶⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣶⣶⡶⣶⣵⢆⣼⣿⣿⣿⣿⣿⣿⣹⡟⢡⣶⣶⣶⣶⣶⡀⣿⣾⣿⣿⣷⣶⣶⣦⣶⣿⣶⣶⣶⡶⣶⣶⢾⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠛⠛⢹⣟⣻⣿⣻⣿⣿⣿⣿⣻⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣳⠿⠋⠳⡝⠛⠟⠟⠃⠀⠛⠻⠁⠈⠛⠛⠛⠙⠃⠀⠛⠋⠛⠣⠛⠛⠿⠟⠙⠋⠛⠛⠛⠛⠛⠙⠛⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠃⢰⣾⣄⣀⡀⣤⣤⣤⣤⣦⣤⣠⣤⣤⣀⣀⣤⣔⣀⣤⣚⣉⣠⣀⣀⣀⣤⣄⣤⣤⣄⣤⣤⣤⣄⣤⣤⡤⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⠿⠿⠿⠿⠤⠤⠼⠿⠿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⡀⠺⠟⠿⠛⠁⠟⠻⠿⠛⠟⠛⠿⢛⣿⣿⣿⣿⡿⡿⠻⠿⠙⠿⠛⠛⠛⠛⠘⠛⠛⠛⠛⠛⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⡇⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣬⣀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠛⠛⠻⠯⠭⠍⠉⠉⠁⢀⣀⣠⣴⣾⣿⣿⣿⣿⣷⣆⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⠀⠀⠀⠀⠀⣀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣳⣦⣤⣔⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣿⣿⣿⣧⡉⠛⠉⠉⠈⠉⠉⠇⠉⢱⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠋⢨⡜⢻⣿⣿⣿⡿⠟⠛⢩⣥⠄⠀⠀⣤⣴⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠋⠁⠀⠀⠀⣰⣖⣢⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ䷩ 𝚕𝚒𝚗𝚎 950 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/01/12/Krita_brushes_2025_01_bundle.shtml Gemini version at https://tuxmachines.org/n/2025/01/12/Krita_brushes_2025_01_bundle.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Krita brushes 2025-01 bundle⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Rianne Schestowitz on Jan 12, 2025 Quoting: Krita brushes 2025-01 bundle - David Revoy — I'm starting the year with an update of my previous brush bundle: it was starting to feel a bit outdated compared to what I'm actually using. Even though it looks mostly the same, under the hood all brushes got a lot of improvements. Read_on ䷩ 𝚕𝚒𝚗𝚎 979 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/01/12/Latest_From_FSF_and_Various_Attacks_on_Software_Freedom.shtml Gemini version at https://tuxmachines.org/n/2025/01/12/Latest_From_FSF_and_Various_Attacks_on_Software_Freedom.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Latest From FSF and Various Attacks on Software Freedom⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Jan 12, 2025 * § FSF⠀➾ o ⚓ FSF ☛ FSF_Events:_Free_Software_Directory_meeting_on_IRC:_Friday, January_17,_starting_at_12:00_EST_(17:00_UTC)⠀⇛ Join the FSF and friends on Friday, January 17 from 12:00 to 15:00 EST (17:00 to 20:00 UTC) to help improve the Free Software Directory. o ⚓ [Repeat] FSF ☛ Anchoring_the_FSF_in_its_values⠀⇛ We, the founders of the FSF, started the Free Software Foundation (FSF) in 1985, with the moral goal of giving users control over their computing, what we call software freedom -- and specifically to support developing the GNU operating system that would make software freedom a practical possibility. The crucial first significant decision we five founders faced was how the new organization would be governed so as to protect its goal and principles. * § Licensing / Legal⠀➾ o ⚓ Seth Godin ☛ The_magic_of_the_commons⠀⇛ Software patents are tempting (I have two, neither of which rewarded the investors who filed the patents) but they almost never pay off. Like a hit song, software does better when more people are part of it. And it’s more likely that people will participate in software that’s resilient, inspectable, connected and always improving. The hard part might not be the idea–it’s in creating the conditions for others to participate. Open source software is the backbone of the [Internet] (it’s powering many of the sites you visit, including this one, and is behind most of the tools you use, including email and Wikipedia). But there’s always been a relentless, profit-driven push to fence it in. * § Splinter Groups⠀➾ o ⚓ The Register UK ☛ Software_Freedom_Conservancy_celebrates_LGPL court_win⠀⇛ But the source code AVM provided in response to his request was incomplete – it lacked the scripts necessary to compile and install modified libraries on the router. And that capability is necessary, the complaint argues, in order to give users the ability to change how their devices function. So Steck took the matter to court to enforce his rights under the LGPL. And several months after the lawsuit was filed, AVM fully provided the requested source code. Meanwhile, the litigation continued. On June 24, 2024, the court in Berlin found in Steck's favor, awarding €7,500 (~$7,725) in legal expenses. No order to provide the installation scripts was necessary as AVM has already done so. o ⚓ The_copyright_monopoly_conundrum_in_artificial_intelligence_age [Ed: The Microsoft-occupied or Microsoft-controlled OSI (or "Microsoft OSI" for short) is at it again. The Microsoft front group OSI pushes the usual "generative Hey Hi (AI)" PR that Microsoft pays for]⠀⇛ The rise of generative Hey Hi (AI) tools has reignited longstanding debates about copyright monopoly law, ownership, and innovation. o § Mozilla⠀➾ # ⚓ Servo (Linux Foundation) ☛ The_Servo_Blog:_This_month_in Servo:_dark_mode,_keyword_sizes,_XPath,_and_more! [Ed: "Linux" Foundation seems to have outsourced more of Mozilla to Microsoft and to proprietary software prison]⠀⇛ * § Content Management Systems (CMS)⠀➾ o ⚓ Kev Quirk ☛ Aligning_Automattic’s_Sponsored_Contributions_to WordPress⠀⇛ Judging by the amount of companies and services Automattic is buying up, WordPress is doing all right - it's certainly not "just a single company" that benefits from WordPress. o ⚓ The Verge ☛ Automattic_cuts_WordPress_contribution_hours,_blames WP_Engine⠀⇛ Now, instead of spending 3,988 hours per week developing the WordPress project, Automattic says it will now contribute around 45 hours as part of Five for the Future — a program that encourages companies to give back five percent of their resources to WordPress.org. “These hours will likely go towards security and critical updates,” Automattic says. * § Security⠀➾ o ⚓ LWN ☛ Security_updates_for_Friday⠀⇛ Security updates have been issued by Fedora (chromium and mingw-poppler), Red Hat (dpdk, thunderbird, and webkit2gtk3), SUSE (firefox, govulncheck-vulndb, gstreamer, gstreamer-plugins-base, gstreamer-plugins- good, libmfx, openjpeg2, python310, python312, python39, tomcat, and webkit2gtk3), and Ubuntu (golang-golang-x- net). ䷩ 𝚕𝚒𝚗𝚎 1132 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/01/12/Linux_Devices_Embedded_Gear_With_GPUs_Rebranded_as_Hey_Hi_AI.shtml Gemini version at https://tuxmachines.org/n/2025/01/12/Linux_Devices_Embedded_Gear_With_GPUs_Rebranded_as_Hey_Hi_AI.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Linux Devices/Embedded Gear With GPUs Rebranded as "Hey Hi" (AI)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Jan 12, 2025 * ⚓ Linux Gizmos ☛ AAEON_Unveils_$556_GAR-A750E_Graphics_Card_with_Intel Arc_GPU_Architecture.⠀⇛ The GAR-A750E features 28 Xe-Cores, a graphics turbo frequency of 2400MHz, and 448 Intel XMX Engines. It includes Intel Deep Link Technology, enabling features such as Hyper Compute, Hyper Encode, and Stream Assist to enhance processing efficiency and workflow optimization. With a memory size of 16GB GDDR6 and a bandwidth of 512 GB/s over a 256-bit interface, the card is designed for high-performance computing tasks. It also supports a graphics high frequency of 2050MHz, further boosting computational capabilities. * ⚓ Linux Gizmos ☛ Pandora_Compact_AI_Computer_Powered_by_NVIDIA_Jetson Orin_NX_Super⠀⇛ Palit Microsystems has introduced Pandora, a compact AI computer designed for high-performance edge AI applications. Powered by the NVIDIA Jetson Orin NX Super module, Pandora is available in 8GB and 16GB configurations, providing 117 TOPS and 157 TOPS, respectively, for demanding computational tasks. * ⚓ Linux Gizmos ☛ DEEPX_iMX8M_Mini_AI_Kit_Delivers_25_TOPS_for_Edge_AI Performance⠀⇛ Virtium, in collaboration with Embedded Artists, has introduced the DEEPX iMX8M Mini AI Kit, integrating the DEEPX DX-M1 AI Booster with the NXP iMX8M Mini processor and a carrier board. The kit is designed for evaluating and deploying Edge AI technologies across various applications. ䷩ 𝚕𝚒𝚗𝚎 1186 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/01/12/Mecha_Comet_A_Linux_Handheld_Built_for_Customization.shtml Gemini version at https://tuxmachines.org/n/2025/01/12/Mecha_Comet_A_Linux_Handheld_Built_for_Customization.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Mecha Comet: A Linux Handheld Built for Customization⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Rianne Schestowitz on Jan 12, 2025 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Comet_Handheld_Linux_computer⦈_ Quoting: Mecha Comet: A Linux Handheld Built for Customization — If you are an open-source enthusiast looking for a portable computing device that offers true versatility, then you will likely be thrilled by what Mecha has in store. The company recently unveiled the Comet, an innovative handheld Linux computer designed to adapt to almost any situation. Powered by the Debian-based custom Mechanix OS, the Comet promises a remarkable degree of extensibility in both hardware and software—so it is not just another device that you purchase once and never update. Instead, the Comet is built with expansion in mind, allowing you to pick from standard “snap-in” extensions (such as a keyboard or gamepad) or even create your own modules for more specialized tasks. Read_on ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⣀⣀⣠⣶⣶⣶⣷⣶⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣄⣀⣽⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠗⠀⢀⣧⠀⠀⠀⠀⢠⠤⡠⣂⣀⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢀⣾⣿⠀⣿⠋⠛⠛⠛⠛⣿⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠸⠀⠀⠈⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣇⣼⢿⣿⠀⣿⠶⠶⠆⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡀⢀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⢿⠏⢀⣿⠀⣿⣄⣀⣀⠀⠀⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠋⣷⠈⠆⠀⠡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢭⣤⡄⣤⣠⣄⣤⣤⣄⡄⡄⣤⣤⡄⣠⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⣿⣇⠀⠀⠈⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣧⣿⣿⣿⣿⡇⣿⡗⡯⡗⢺⡇⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢁⣿⣿⡔⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠋⠛⠃⠋⠉⠋⢻⡝⣧⣧⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠄⢘⣿⣿⣷⠒⠃⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⢸⣇⣿⣿⣿⣿⣿⣸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠠⣾⣿⣿⣿⣇⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠅⢰⢶⣴⢶⣴⣤⣦⡾⣯⡏⡿⣿⢾⡿⢿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡆⠀⠀⢩⣭⣭⣭⣯⣭⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⢸⣣⣽⣸⣿⣿⣿⡿⠋⣇⡇⣿⢸⣟⣸⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣷⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠈⠉⠈⠉⠈⠉⠉⠁⠀⠉⠁⠉⠈⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣿⣿⣧⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⡆⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣧⠀⠀⠘⣿⡏⢷⢿⣿⡿⠿⣿⡘⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⡆⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡀⠀⠀⠙⠿⠿⠿⠿⢿⣟⣻⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ䷩ 𝚕𝚒𝚗𝚎 1252 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/01/12/NuTyX_flexible_Linux_distribution.shtml Gemini version at https://tuxmachines.org/n/2025/01/12/NuTyX_flexible_Linux_distribution.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ NuTyX – flexible Linux distribution⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Rianne Schestowitz on Jan 12, 2025 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇NuTyX⦈_ Quoting: NuTyX - flexible Linux distribution - LinuxLinks — NuTyX bills itself as a complete Linux distribution with high flexibility, thanks to the collections and the groups concepts. It’s designed for people who want to commit themselves to developing their skills further and learning how a Linux system is put together. The hierarchical ports collection system provides maximum flexibility in managing software. Each collection is responsible for a set of functionnality. The base system, command lines applications and libraries, graphical interface and graphical libraries, all the desktops and non-graphicals or graphicals applications. It has a totally unique package manager made of expandable modules, with no dependencies except glibc. Read_on ⠀⠀⢠⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠋⠉⠉⢻⡏⣿⡉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡦⠀⠀⠀⠀⠀⡄ ䷩ 𝚕𝚒𝚗𝚎 1321 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/01/12/Plasma_Crash_Course_Sentry.shtml Gemini version at https://tuxmachines.org/n/2025/01/12/Plasma_Crash_Course_Sentry.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Plasma Crash Course - Sentry⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Rianne Schestowitz on Jan 12, 2025 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Sentry⦈_ Quoting: Plasma Crash Course - Sentry - Harald Sitter's KDE Blog — A while ago a colleague of mine asked about our crash infrastructure in Plasma and whether I could give some overview on it. This seems very useful to others as well, I thought. Here I am, telling you all about it! Our crash infrastructure is comprised of a number of different components. 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Michael sent in a PR avoiding a clang warning on complex types. We fixed an issue that surfaced in a downstream package under sanitizier checks: R extends coverage of NA to types such as integer or character which need special treatment in non-R library code as ‘they do not know’. We flagged (character) formatted values after we had called the corresponding CCTZ function but that leaves potentiall ‘undefined’ values (from R’s NA values for int, say, cast to double) so now we flag them, set a transient safe value for the call and inject the (character) representation "NA" after the call in those spots. End result is the same, but without a possibly slap on the wrist from sanitizer checks. * ⚓ Rlang ☛ Another_season,_another_release._{survivoR}_v2.3.5_now_on CRAN⠀⇛ Survivor 47 has wrapped up and the data has been add to the package. * ⚓ SICP ☛ In_which_things_are_not_known_|_Structure_and_Interpretation_of Computer_Programmers⠀⇛ In the last episode—Is software engineering a thing?—I (apparently controversially) suggested that software is the reification of thought, and that software engineering is thus the art of reifying thought, and that thus there can’t be any single one-size-fits-all software engineering approach. Let’s dig in. One of the big questions in a software project, hence one of the big topics in software engineering, is requirements: who wants the software to do something, do we need to pay attention to them, and what do they want it to do? We’re already well into the realm of individuals and interactions—whether the people building the thing and the people telling them what to build can agree on what one of the two groups thinks they mean—and haven’t got as far as building software yet. There’s plenty of software engineering ink spilled in this domain, but it can be hard to even decide whether to agree at a metaphysical level with some of it. * ⚓ [Repeat] Linuxiac ☛ Git_2.48_Is_Out_with_Faster_SHA-1s,_Meson_Takes_the Stage⠀⇛ And now to something quite interesting – for almost two decades, Git’s default building process has centered on GNU Make. However, according to devs, this Makefile has grown considerably in both size and complexity over the years. To tackle this challenge—and keep Git friendly for new contributors—Git 2.48 introduces Meson as an alternative build system. * ⚓ Rlang ☛ Best_Git_Books⠀⇛ Best Git Books, Git is an essential tool for version control and collaboration in software development. Whether you’re a beginner or an experienced developer, mastering Git can significantly enhance your workflow and productivity. There are several excellent books available that can help you understand and utilize Git effectively. * ⚓ Rlang ☛ Working_with_colours_in_R⠀⇛ When you create a data visualisation using R (or any other software), a set of default colours is used. These aren’t always the most effective, or aesthetically pleasing, set of colours. That means that, at some point, you’ll likely want to use a different set of colours that you have chosen. This blog post will cover how to define those colours in R, where to find examples of colour palettes, and how to make generate your own. It won’t focus too much on how to use these in plots, in base R or {ggplot2}, but there are plenty of good resources out there on this topic, several of which are listed at the end of the post. To demonstrate some of the palettes that will be used or created in this blog post, we’ll start by creating a function, plot_palette(), that takes a vector of colours and returns a plot showing them. * § Shell/Bash/Zsh/Ksh⠀➾ o ⚓ Ruben Schade ☛ Which_shell_do_I_use_on_FreeBSD?⠀⇛ Today, I use two different shells depending on context. I use plain sh(1) for servers and remove machines that I won’t otherwise be regularly interacting with because, again, it’s now the default. Scripts written against this are also easier to be made portable, so I can run them on NetBSD, illumos, or Linux. If I do need to something more complicated, I still have tcsh(1) to fall back on (though I find myself reaching for it less and less now, which is bittersweet). o ⚓ Redowan Delowar ☛ Dynamic_shell_variables⠀⇛ I came across a weird shell syntax today—dynamic shell variables. It lets you dynamically construct and access variable names in Bash scripts, which I haven’t encountered in any of the mainstream languages I juggle for work. In an actual programming language, you’d usually use a hashmap to achieve the same effect, but directly templating variable names is a quirky shell feature that sometimes comes in handy. ䷩ 𝚕𝚒𝚗𝚎 1565 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/01/12/The_FSF_s_Fortress_of_Freedom.shtml Gemini version at https://tuxmachines.org/n/2025/01/12/The_FSF_s_Fortress_of_Freedom.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ The FSF's Fortress of Freedom⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Jan 12, 2025 The FSF recently published a_blog_post about its governance structure and how it's designed to protect the organization's core mission. The post provides insight into how the FSF has stayed true to its values despite changing tides and external pressures. As someone who deeply values the FSF's work, I support its approach. It's the only free software organization I know of that has taken deliberate steps to prevent being taken over by those who might disagree with its philosophy. Read_on ䷩ 𝚕𝚒𝚗𝚎 1596 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/01/12/Thinking_Out_Of_The_Vox.shtml Gemini version at https://tuxmachines.org/n/2025/01/12/Thinking_Out_Of_The_Vox.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Thinking Out Of The Vox⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Rianne Schestowitz on Jan 12, 2025 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇PineVox⦈_ Quoting: January Update: Thinking Out Of The Vox - PINE64 — This month we report on some news concerning the PineVox, what the community have been up to with their PineNotes and the brand-new 1.15 InfiniTime update. We would like to wish our community a happy New Year and hope you all had a good end of 2024. But since it’s now the beginning of 2025, we’d like to fill you in on what we have planned for the first part of the year. We plan to release the PineVox to the public thanks to Gamiee’s recent progress and we plan to continue improving the software for the PineNote, thanks to Maximilian, Diederik and our testers in the community. We have some exciting devices coming as well, mentioned in previous community updates. The PineCam and StarPro64 have been sent to developers in our community, so we hope to report on these devices in the coming months. Gamiee has also been working with a group of our friends over at Meshtastic on an independent project which will become the second version of the PineDio USB LoRa adapter. We plan to talk more about the progress of that project more in the February update. Read_on Also: * ⚓ Pine64_Starts_2025_with_January_Community_Updates_on_PineVox_and_More Pine64_Starts_2025_with_January_Community_Updates_on_PineVox_and_More⠀⇛ The PineNote has received positive feedback from users, many of whom have used it extensively for note-taking and other tasks. Recent software updates include bug fixes, a kernel update to Linux 6.12, and enhancements to applications like Xournal++. Additionally, audio output and other USB-C functionalities are now supported with manual kernel updates. ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣿⣿⡿⠛⠛⠉⠉⠁⠀⠀⠀⠀⣿⣿⣿⡿ ⢈⣛⣿⣿⣿⣿⣿⣿⣿⣻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣘⣻⣿⠿⠏⠅⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠅ ⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⢿⠛⠿⠿⠟⠿⠿⠿⠿⣿⡿⢿⣿⠿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣝⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣀⣀⣠⣤⠄⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣶⣦⣄⣀⣀⡀⠀⠈⠉⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⣶⣶ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⣀⣀⣉⣀⣨⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣶⣶⣶⣶⣾⣿⣿⣿⠿⠿⠿⠛⠛⣛⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠚⢻⣿⣿⣿ ⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣴⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠈⠉⠉⠁⠉⠉⠉⠉⠉⠉⠉⠛⠛⠛⠛⠛⠻⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠲⠦⠤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣀⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠿⠿⠿⠷⢾⣶⣶⣶⣤⣤⣤⣤⣤⣀⣀⣀⣤⣤⣤⣤⣤⠀⢤⣤⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠻⠿⠿⠿⠿⣿⣿⣿⣿⣿⣶⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠙ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢶⡶⢶⣆⡀⠰⡆⠀⣀⠀⣶⠀⡠⡦⠀⢀⠀⠀⣀⡀⠀⣠⡶⣦⡄⢀⠀⡀⣤⡀⢀⡀⢰⠆⢀⣰⡆⢀⡀⠀⠴⣶⡶⢶⣆⡀⠀⢀⠀⠀⣶⡀⣰⠆⢀⡀⢀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢸⡟⣿⣾⡇⣿⢻⡇⣿⣿⣹⣿⣿⠛⣷⣾⣻⣷⠀⢿⣄⣨⡿⣿⣸⡏⣿⠁⣿⣯⢸⣷⣟⣻⣷⣿⢿⠀⠀⢹⡇⢸⡟⣿⢼⣿⡿⠀⠸⣷⡟⢸⣏⣿⢞⣿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠁⠈⠉⠁⠉⠈⠁⠉⠈⠉⠉⠉⠀⠉⢨⣽⠏⠀⠈⠉⠉⠀⠉⠉⠁⠉⠉⠉⠉⠈⠁⠉⠉⠁⠉⠉⠀⠀⠈⠁⠈⠁⠉⠈⠉⠉⠀⠀⠉⠁⠈⠉⠉⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ䷩ 𝚕𝚒𝚗𝚎 1684 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/01/12/This_Week_in_GNOME_182_Updated_Crypto.shtml Gemini version at https://tuxmachines.org/n/2025/01/12/This_Week_in_GNOME_182_Updated_Crypto.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ This Week in GNOME #182 Updated Crypto⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Jan 12, 2025 Update on what happened across the GNOME project in the week from January 03 to January 10. [...] nielsdg reports gcr, a core library that provides a GObject-oriented interface to several crypto APIs, is preparing for the new 4.4 version with the alpha release 4.3.90. It contains some new Hey Hi (AI) for GcrCertificate, such as the new GcrCertificateExtension class that allows you to inspect certificate extensions. 🕵️ Read_on ䷩ 𝚕𝚒𝚗𝚎 1721 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/01/12/This_Week_in_Plasma_Final_Plasma_6_3_Features.shtml Gemini version at https://tuxmachines.org/n/2025/01/12/This_Week_in_Plasma_Final_Plasma_6_3_Features.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ This Week in Plasma: Final Plasma 6.3 Features⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Rianne Schestowitz on Jan 12, 2025 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Show_Target⦈_ Quoting: This Week in Plasma: Final Plasma 6.3 Features - KDE Blogs — Welcome to a new issue of "This Week in Plasma"! Every week we cover as much as possible of what's happening in the world of KDE Plasma and its associated apps like Discover, System Monitor, and more. This week the focus was on landing final Plasma 6.3 features and UI changes… and land them we did! Now it's time to spend the next month exclusively on bug-fixing and polishing. Read_on ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⣿⣿⣿⣿⣷⣾⣿⣿⣶⣿⣿⣿⣿⣿⣾⣮⣶⣾⣷⣿⣷⣶⣶⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣾⣾⣿⣧⣧⣿⣯⣿⣹⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣄⣼⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣯⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣧⣬⣿⣏⣯⣿⣿⣿⣻⣿⣿⣿⣯⣟⣛⣟⣛⣿⣻⣿⣿⣯⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣿⣷⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣂⣉⣿⣷⣯⣿⣿⣿⣽⣿⣯⣮⣿⣽⣿⣻⣯⣟⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣏⣿⢿⣿⣿⣽⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣰⣶⣿⣧⣿⣿⣿⣿⣏⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ䷩ 𝚕𝚒𝚗𝚎 1804 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/01/12/Today_in_Techrights.shtml Gemini version at https://tuxmachines.org/n/2025/01/12/Today_in_Techrights.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Today in Techrights⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Jan 12, 2025 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Fire_Pit,_taken_in_Swanbourne,_Western_Australia_31_October 2020⦈_ ⚓ Updated This Past Day⠀⇛ 1. ⚓ BetaNews_is_Now_Officially_a_Spamfarm_With_Phantom_Authors_and_Fake Text_(SPAM_and_Linkspam_Made_With_LLM_Slop)⠀⇛ That's it, the site is virtually dead now (maybe that was the plan all along) 2. ⚓ Hazem_Abbas_of_medevel_is_Ruining_His_Site_With_LLM_Slop⠀⇛ Some of his articles are original, but now everything is suspect 3. ⚓ Free_Software_Foundation:_Anchoring_the_FSF_in_its_values⠀⇛ Original by Free Software Foundation 4. ⚓ GNU/Linux_Surges_to_All-Time_Highs_in_Greenland,_Windows_Sinks_to_All- Time_Lows⠀⇛ a lot of GNU/Linux gets detected there lately 5. ⚓ Microsoft_in_Trouble_as_Azure_Breaks_and_Only_Days_After_Promising Investment_in_"Datacentres"_Construction_of_Actual_Datacentres_Paused_ (Expect_More_Azure_Layoffs_Very_Soon)⠀⇛ No wonder many people who got trapped inside Azure quit Azure, which keeps bleeding (losses and layoffs) ⚓ New⠀⇛ 6. ⚓ Links_11/01/2025:_Social_Control_Media_Facing_Sanctions,_Carter Respected_at_Funeral⠀⇛ Links for the day 7. ⚓ If_TikTok_(China)_Has_the_Rights_of_American_Persons,_Then_ByteDance Can_be_Sentenced_to_Death⠀⇛ TikTok - like Julian Assange - does not enjoy any protections of the First Amendment and since it's not a person it would lack these protections as an American company, too 8. ⚓ After_a_Year_of_Layoffs_in_Microsoft_Nigeria_(and_Microsoft_in_Africa at_Large)_Windows_Falls_to_New_Lows_and_Bing_Falls_to_0.46%_"Market Share"⠀⇛ Of course Microsoft gave bribes in Nigeria to suppress GNU/ Linux adoption 9. ⚓ An_Important_Lesson_About_Patents_and_Patent_Maximalism_(They_Drive People_and_Companies_Away)⠀⇛ This previously happened in Texas, where companies perceived their presence (in any form) to be a liability as patent trolls could drag them to friendly courts and win "damages" 10. ⚓ When_It_Comes_to_Fentanylware_(TikTok),_a_Digital_Weapon_of_a_Hostile Entity,_Common_Dreams_is_Jumping_the_Shark_Again_(Years_After_It_Ran_Out of_Steam_or_Money)⠀⇛ Or maybe it likes the agenda promoted (curated) by Fentanylware (TikTok) and its parent company, Bytedance or Chinese Community Party (CPP) 11. ⚓ [Meme]_Real_and_Fake_(or_"several_influential_"open_source" organizations_[which]_have_come_to_be_dominated_by_large_companies")⠀⇛ The Free Software Foundation has not sold out 12. ⚓ Microsoft's_"Donald_Trump_First"_Doctrine⠀⇛ national deficits growing 13. ⚓ Gemini_Links_11/01/2025:_Wildfire,_Militia_and_the_Mole,_IRC_vs_Social Control_Media⠀⇛ Links for the day 14. ⚓ Over_at_Tux_Machines...⠀⇛ GNU/Linux news for the past day 15. ⚓ IRC_Proceedings:_Friday,_January_10,_2025⠀⇛ IRC logs for Friday, January 10, 2025 ========================================================================= The corresponding text-only bulletin for Saturday contains all the text. Top-read articles (excluding bot/crawler visits): Span from 2025-01-05 to 2025-01-11 2666 /n/2025/01/06/Fedora_Seems_to_be_Dying_of_Neglect_by_IBM.shtml 2060 /n/2025/01/08/ Communications_Assistance_for_Law_Enforcement_Act_CALEA_is_a_Fa.shtml 1936 /n/2025/01/07/Microsoft_Continues_to_Attack_Users_Choice.shtml 1666 /n/2025/01/04/ What_Would_Dennis_Ritchie_Say_About_the_Memory_Safe_Hype_or_Car.shtml 1237 /n/2025/01/11/ Microsoft_in_Trouble_as_Azure_Breaks_and_Only_Days_After_Promis.shtml 998 /n/2025/01/10/More_IBM_Layoffs_2025.shtml 930 /n/2025/01/08/ Microsoft_Starts_2025_Like_2024_Mass_Layoffs_Every_Month.shtml 790 /n/2024/12/21/ On_BetaNews_Latest_Technology_News_We_are_moderately_confident_.shtml 755 /n/2025/01/07/ In_Europe_Russia_s_Yandex_About_to_Become_Bigger_Than_Microsoft.shtml 736 /n/2025/01/05/ Links_05_01_2025_Math_On_Checkerboard_and_Nazi_linked_accounts_.shtml 714 /n/2025/01/06/ British_Police_Register_a_New_Account_With_Unscrupulous_America.shtml 666 /n/2025/01/07/ All_the_Latest_Articles_in_This_Fake_News_Site_Are_SPAM_LLM_Slo.shtml 653 /n/2025/01/09/ Free_Software_Cannot_Rely_on_Politicians_They_Don_t_Even_Care_A.shtml 586 /n/2024/12/30/ In_2024_Under_Linux_Foundation_Management_Linux_com_Produced_an.shtml 585 /n/2025/01/09/ Sometimes_the_EFF_Prefers_to_Talk_About_Sex_Not_Tech_or_Unneces.shtml 549 /n/2025/01/05/ Credit_to_Jessica_Lyons_at_The_Register_for_Covering_the_Commun.shtml 548 /n/2025/01/08/ Amid_Mass_Layoffs_at_Microsoft_2025_Executives_Flock_to_Google.shtml 544 /n/2025/01/10/ Guardian_Digital_Inc_linuxsecurity_com_is_Again_Spamming_or_Goo.shtml 536 /browse/latest.shtml 531 /n/2025/01/08/ Engagement_in_Microsoft_GitHub_Falls_Expect_More_Layoffs_and_Of.shtml 523 /n/2025/01/09/Computers_as_a_Heat_Source.shtml ⣽⣿⣿⣲⢿⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢴⣽⣿⡿⣷⠿⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿ ⣿⣿⣿⣿⣿⡿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣽⠕⠇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣾⣿⣿⣿⣿⣿ ⢻⣿⣿⣿⠿⣟⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣀⣀⣀⣄⣶⣶⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢛⣻⣿⡿⠿⣿⡿⠛⡿⣿⣿⣿⣿⡿⡿⣿ ⠀⠸⢾⢻⣷⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢀⣀⡒⣦⣴⣽⣿⠿⠿⠿⠿⠟⠛⠛⠛⠻⠟⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣾⣿⣽⣷⣿⣶⣾⣽⣾⣒⡮⠽⣿⣿⣷ ⠀⠀⠹⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣰⣾⣷⡷⠿⠋⠉⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠋⠛⡿⢿⣿⣿⣿⣿⢿⣿⣿⣻⣿⣿⣿⣟⣟⣻⢿⣟⣾⣿⣿⣿⣿⣾⣿ ⠀⠀⠀⠹⣿⣟⣻⠻⠻⡥⠀⠀⠀⠀⠀⣀⣴⣶⣿⣿⠿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠘⡹⠻⣾⣏⣉⣻⢿⣭⡿⢿⣿⣷⣿⣿⣟⣻⡋⡙⢟⣛⣛ ⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⣠⣶⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⢠⢤⣾⣽⣿⣿⣵⣾⣿⣿⣷⣯⣻⣛⡋⠿⢟⣋⠦⠟⣎⡲ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⡮⣥⣽⣴⡆⢤⢥⣱⣠ ⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⢛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠻⢿⣿⣿⣭⣟⣯⣽⠋⠙⣝⡻ ⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣀⣴⣶⣤⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣇⡄⢰⣤⣀⠀⠀⠀⠀⠀⣞⣿⣿⣿⣿⣿⣿⣿⣿⣯⣴⣿⢹⢿⣿⣿⣿⣾⣲⡃⢀⣄⢿ ⠀⠀⠀⠀⢠⣾⣿⣿⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣷⣷⣄⣸⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣭⣴⣄⡀⠛⣻⣿⣿⣧⡏⢿⣼⣭ ⠀⠀⠀⢠⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠠⣤⣤⣦⣠⣄⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡀⢀⣿⣿⣿⣿⣿⣿⣿⡿⣅⣻⣿⣿⠃⠀⠑⢺⣻⣿⣿⣥⠠⣷⢛ ⠀⠀⠀⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣷⣿⣿⣿⣿⣷⣤⣴⣿⣿⣿⣿⣿⡆⠉⠐ ⠀⠀⣸⣿⣿⣿⣿⣟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣿⣿⣿⣿⣿⡿⠿⠟⡉⣀⣸⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠋⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠄ ⠀⠀⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣯⡃⣴⣿⡿⣳⢿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⢠⠀ ⠀⠀⢿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠿⣿⣿⣿⣿⣿⠏⠛⠁⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⠀ ⢀⢠⣹⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⡟⠀⠀⠀⢀⣀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀ ⣗⠿⡚⣿⣿⣿⣿⣿⣿⣿⡏⠄⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⡿⠟⠿⣿⣿⣿⣿⣿⣿⡇⢠⣀⣤⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀ ⠟⠙⠂⠘⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠘⠛⢿⣿⠃⠀⠈⠀⠙⡻⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠛⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀ ⠀⠀⠈⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣄⡀⠀⠀⠀⠀⠀⠉⢀⡀⠸⣷⣄⠀⠈⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣆⣀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣄⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⡀⠀⠀⠈⠻⣷⣿⣿⣷⣄⣀⠈⠙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢁⠌⠆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⠀⠬⣿⣽⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡀⠹⢮⣭⣉⠉⣻⣿⣿⣿⣶⣷⣤⣽⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⡿⠛⠁⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠠⠂⠂⣰⣵⠏⡵⣊⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣬⣙⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⡉⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀ ⠀⡤⠠⠉⡌⡀⢨⢿⡽⠵⣾⣵⣿⣿⣛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⠿⢛⣩⡄⢀⣰⠀⣀⠀⠀⢀⢀⣀⣀⠀⠀⠀⠀ ⣠⣶⡶⠐⠀⢬⠘⢽⣿⢿⣿⣿⣿⣿⣿⣿⠀⢩⣝⣻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⢩⣰⣶⡂⢹⡷⠛⠿⡃⢋⣷⢤⡀⢨⣤⠈⡀⠀⠀⠀ ⣃⠉⡠⠃⠤⣭⡶⣻⣩⣿⣿⣿⣿⣿⣿⡿⢡⢿⣿⣿⣿⣶⣾⣭⣝⣛⡻⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠋⠉⠀⠀⠀⠀⠀⠉⠉⠇⠁⢲⡿⣦⠀⠃⠐⡈⣻⣿⣂⠈⠀⠀⠀⠀⠀ ⣪⢉⠵⠒⢏⣶⡓⢸⣿⣿⣿⣿⣿⣿⣿⠅⠈⡛⣋⣻⣛⣛⣿⡿⠿⢿⠿⠿⠂⠰⠶⠆⢀⣀⠈⠁⢉⠉⠉⠉⠉⠉⠁⠀⡠⠀⠀⠚⠀⢀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠐⠻⠛⠂⠀⠨⣻⢭⡛⣻⢵⣧⠀⠀⠀⠀ ⠭⠏⠩⢬⣲⠟⡉⣼⣿⣿⣿⣿⣿⣿⡇⢠⣴⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⡇⢀⡤⠄⣿⢿⣿⣿⣿⣿⣿⠇⣤⣤⣴⣿⣿⣿⣿⠖⣀⠀⡀⠰⠀⠀⠀⢐⣭⠀⠀⢄⢀⣈⡀⢀⠀⠀⠀⠀⠈⠹⢷⢷⣬⡭⠹⣧⡀⠀ ⠀⠄⡄⠘⢉⠂⢢⣿⣿⣿⣿⣿⣿⡏⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠸⠓⠐⠗⢱⣿⠿⣿⣿⡧⣷⣿⡿⠟⣿⠿⣿⣹⣿⣿⠀⠀⠀⠐⠀⡂⢫⡁⠀⠀⠈⠀⢹⣿⣿⣿⣦⡴⡄⠀⠀⢊⣈⣹⣯⣤⢩⡗⠀ ䷩ 𝚕𝚒𝚗𝚎 2058 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/01/12/today_s_howtos.shtml Gemini version at https://tuxmachines.org/n/2025/01/12/today_s_howtos.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ today's howtos⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Jan 12, 2025 * ⚓ Dedoimedo ☛ How_to_view_and_convert_HEIC_images_in_Linux_(Kubuntu)⠀⇛ Here's an interesting little problem. A friend of mine gave me an older iPhone 11, so I could play with it, test its long-term abilities, do all sorts of everyday checks, and whatnot. I've already written some on this endeavor, including, for instance, how to use KDE Connect for music transfer. Next, I snapped a few photos with the camera, and I didn't notice that these were taken in the rather funny HEIC format. I tried to view these files on my Slimbook Executive, which runs Kubuntu 22.04, and I had no success. So I did some reading, installed a few packages, and eventually got around the issue, relatively easily, to be fair. However, since the resolution has several layers, let me tell you all the different aspects of this adventure. Follow me. * ⚓ Red Hat Official ☛ An_introduction_to_using_tcpdump_at_the_GNU/Linux command_line⠀⇛ Tcpdump is a command-line utility that allows you to capture and analyze network traffic going through your system. It is often used to help troubleshoot network issues, as well as a security tool. * ⚓ XDA ☛ How_to_install_Joplin_Server_on_Raspberry_Pi_(or_other_Linux servers)⠀⇛ Joplin is a popular open-source note-taking app loved by privacy-minded folks and productivity gurus. It’s easy to sync your notes across devices, but if you want to keep your data totally safe and in your hands, you can set up your own Joplin server. * ⚓ Setup_KDE_Plasma_6.3_Beta_on_Arch_Linux⠀⇛  Just update /etc/pacman.conf as follows ䷩ 𝚕𝚒𝚗𝚎 2122 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/01/12/today_s_leftovers.shtml Gemini version at https://tuxmachines.org/n/2025/01/12/today_s_leftovers.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ today's leftovers⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Jan 12, 2025 * § Distributions and Operating Systems⠀➾ o § BSD⠀➾ # ⚓ Vermaden ☛ FreeBSD_Suspend/Resume⠀⇛ I have been using FreeBSD on the desktops/laptops since about 20 years now and I have described all that I configured in the FreeBSD Desktop series. About 1 year ago I shared a video on YouTube and Vimeo showing how a busy FreeBSD 12.2 handles the suspend/resume cycle on a ThinkPad W520 laptop on a FreeBSD system. o § SUSE/OpenSUSE⠀➾ # ⚓ Dominique Leuenberger ☛ Tumbleweed_–_Review_of_the_week 2025/01_&_02⠀⇛ Dear Tumbleweed users and hackers, Welcome to 2025! While we were all celebrating, some people continuously felt the urge to work on packages for Tumbleweed. Tumbleweed kept rolling, as we ensured the staging and openQA results would be monitored even during this time. This review will try to cover the most relevant changes since snapshot 20241218 and include things up to 20250108, which is the latest snapshot published as of this writing. I will thus cover 11 snapshots. o § Fedora Family / IBM⠀➾ # ⚓ Fedora Project ☛ Fedora_Community_Blog:_Infra_and_RelEng Update_–_Week_02_2025⠀⇛ This is a weekly report from the I&R (Infrastructure_&_Release_Engineering) Team. We provide you both infographic and text version of the weekly report. If you just want to quickly look at what we did, just look at the infographic. If you are interested in more in depth details look below the infographic. # ⚓ CentOS ☛ CentOS_Board_Meeting_Recap,_January_2024⠀⇛ The recording of the January CentOS Board meeting is now available. Watch the recording Read the minutes The recording has timestamps so you can skip to the parts that interest you. Here are a few highlights of the meeting: We had further discussions on the CentOS, Fedora, and RHEL leadership interlock proposal. o § Canonical/Ubuntu Family⠀➾ # ⚓ Beta News ☛ Linux_Mint_22.1_BETA_phase_ends_with_115 reports_leading_to_crucial_bug_fixes⠀⇛ Linux Mint fans, rejoice! The BETA phase for Linux Mint 22.1 has officially concluded. According to the development team, a total of 115 bug reports were submitted during the testing period, leading to the resolution of many issues. This collaborative effort highlights the power of open- source communities, where user feedback plays a central role in creating polished and reliable software. Now that the BETA testing phase is over, the team has moved on to a rigorous QA (Quality Assurance) process. Once this testing phase wraps up, the stable release of Linux Mint 22.1 will be rolled out. This means users won’t have to wait long to experience the enhanced features and bug fixes firsthand. * § Free, Libre, and Open Source Software⠀➾ o ⚓ Ted Unangst ☛ a_grep_that_doesn't_stuck⠀⇛ The file isn’t being appended, meaning tail won’t exit, so we don’t expect the pipeline to ever finish, but we would like to see the current results. Fortunately, grep provides an lbflag we can set. In this case, if the input is a pipe, we’ll assume there’s something fancy going on, and switch to line buffering. ䷩ 𝚕𝚒𝚗𝚎 2251 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/01/12/Top_Linux_Distros_for_Ethical_Hacking.shtml Gemini version at https://tuxmachines.org/n/2025/01/12/Top_Linux_Distros_for_Ethical_Hacking.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Top Linux Distros for Ethical Hacking⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Jan 12, 2025, updated Jan 12, 2025 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Hacking⦈_ Linux, a renowned open-source operating system celebrated for its flexibility and customization, has become a cornerstone for developers and tech enthusiasts alike. This adaptability extends to the realm of cybersecurity, making it a favored platform for ethical hackers and penetration testers. Recognizing this, numerous Linux distributions have been specifically crafted to facilitate the exploration and utilization of ethical hacking tools. In this article, we will delve into the top Linux distributions tailored for this purpose. Read_on ⡦⡀⠀⠀⠐⡁⠀⠀⠀⠀⣖⡆⢀⣀⡀⠀⠀⠀⠀⢈⡃⠀⢀⣀⡀⠈⢸⣒⣀⡀⠀⠀⠀⣀⡄⠀⢚⣃⣀⡀⠀⠀⢐⣲⡄⠀⠀⠀⠀⠒⡶⠀⣀⣀⡀⢠⠒⡄⠀⠀⠀⠀⠐⡢⠀⠀⠀⠀⠀⠀⠀⠀⠐⡲⠀⠀⠀⠀ ⢑⠁⠀⠀⠐⠃⠀⠀⠀⠀⠓⠋⣿⠀⣿⠀⠀⠀⠀⠀⠁⢀⡀⣠⠇⠀⠐⠚⣴⡇⠀⠀⠀⠾⡇⠀⠈⠋⣨⠇⠀⠀⣻⢾⡇⠀⠀⠀⠀⠘⠁⠀⠿⠦⡄⠈⠒⠁⠀⠀⠀⠀⠐⠊⠀⠀⠀⠀⠀⠀⠀⠀⠐⡀⠀⠀⠀⠀ ⣗⡧⠀⠴⣷⠀⠀⠀⠀⠀⡇⡳⠘⠒⠋⠀⢰⢀⠆⠀⠀⠠⠟⠓⠒⠀⢴⣿⠿⠃⠀⠀⠀⣩⠇⠀⠀⠺⠷⣆⣠⣄⣻⢿⡇⠇⠀⠂⠀⢉⠗⠀⠒⠚⠁⠀⡩⠂⠀⠀⠀⠀⠘⠠⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠀⠀⠀⠀ ⣶⣅⠀⢠⢤⠀⠀⠀⠀⠀⠀⠀⣰⠒⢦⠀⠀⢥⡀⠀⠀⠠⠾⢒⡆⠀⠀⣈⣵⡆⠀⠀⢀⡭⡁⠀⣺⣷⣾⣿⣿⣿⣿⣿⣆⠽⠀⠀⠀⡭⠍⠀⡴⠲⡄⠈⢭⡁⠀⠸⠀⠀⢈⡀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢅⠀⠀⠀⠀ ⠫⠟⠀⠸⠼⠀⠀⠀⠀⠅⠀⠀⢻⣀⡽⠸⠀⠎⠀⠀⠀⠀⢀⣉⡗⠀⠚⠿⢿⡗⠀⠀⠐⢯⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠽⠗⠀⣇⣀⠇⠰⠾⠀⠀⠐⠁⠀⠛⠗⠀⠀⠀⠀⠀⠀⠀⠀⠣⠜⠀⠀⠀⠀ ⠽⣇⠀⠐⡆⠃⠀⠀⠐⠶⠀⠀⢀⣀⡀⠔⢴⠒⡄⠀⠀⠀⢀⣐⡢⠀⠲⣲⣀⡀⢴⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠹⠀⠀⠀⢀⠀⠠⠁⠀⠀⠰⠇⠀⠐⡂⠀⠀⠀⢀⣀⠀⠀⠀⡖⢢⠀⠀⠀⠀ ⢙⡃⠀⢀⣳⠇⠀⠀⠀⠳⠀⠾⠸⠶⣄⠊⠊⣚⠁⠰⠀⠀⠸⢾⣖⠀⠶⠊⣠⠇⣸⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⡣⠀⠀⣴⣻⡀⢨⠂⠀⠀⢀⠄⠀⠀⡀⠀⠀⠀⡳⠴⡃⠀⠀⢁⡀⠀⠀⠀⠀ ⣟⡯⠀⢸⣺⡇⠀⠀⠐⡰⠀⣆⠐⠒⠃⠀⠸⣈⠇⠀⠂⠀⠐⣒⡧⠀⢶⢿⠗⠒⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⠀⠀⠉⠙⠀⢀⠆⠀⠀⢰⠀⠀⠓⡂⠀⠀⠀⠓⠒⠁⠀⠀⣐⡇⠀⠰⢽⠀ ⢖⠆⠐⢒⣶⡇⠀⠀⠀⣲⠀⣲⢰⡒⡦⠀⢠⣤⠀⢰⡆⠀⢠⣶⡖⠀⣶⢤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⣶⣖⠂⢔⡆⠀⠀⢰⠀⠀⣶⡒⠀⠀⠀⠠⡆⠀⠀⠀⢀⡄⠀⠠⢤⠀ ⣀⠂⢠⣞⣹⡄⠀⠀⠀⣶⠀⣶⠸⢉⠱⠀⠀⠼⠃⢰⡆⠀⢻⣭⣿⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⣻⣽⠆⠐⡄⢠⡆⢠⡆⠀⣹⣽⠆⠀⠀⣀⣇⠀⠀⠀⠓⠇⠀⠰⠯⠀ ⣴⡀⢀⣰⡥⡄⠀⠀⠀⠀⢈⣷⠀⠀⠀⠀⢐⢽⡂⠰⡆⠀⢀⣼⣗⠀⣲⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣰⣇⡀⣠⡀⢐⡆⢠⡄⠀⣴⡇⠀⢠⢴⣀⣀⠀⠀⠀⣴⡆⠀⠘⡱⢀ ⡴⡀⣾⢚⣯⡆⠀⠀⠀⠀⢉⣏⠀⠀⠀⢐⠄⠈⠀⢠⡆⠀⠸⣾⣏⢀⣥⠈⠹⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣿⣿⣿⣿⣿⣿⣞⣿⠁⣠⡀⢘⡇⣨⡀⠀⣹⡇⠀⢈⣋⡷⢼⡃⠀⠀⣀⡁⠀⢘⣛⠀ ⡜⡄⠈⢚⣻⢆⠀⠀⠀⠀⢇⣿⠀⠀⠀⡨⡁⠀⠀⠀⠀⠀⠐⢻⣷⢀⣠⣴⣶⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⢁⣿⣿⣿⣿⣿⣿⣿⣿⡻⠀⣤⡄⠸⣅⣼⡃⠀⣚⡷⠀⢠⣞⠓⠚⠁⠀⠀⣗⡧⠀⢠⣞⠚ ⣬⡆⢰⣲⣾⡅⠀⠀⠀⣤⣔⣯⠀⠀⠀⣬⡄⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣭⡅⠬⣥⣼⡅⠀⢶⢲⡄⠠⣤⠒⣲⠄⠀⠀⣠⡄⠀⠠⢦⣴ ⠩⡏⢾⣙⡿⡅⠀⠀⢀⣭⠓⣿⠀⠀⠀⠩⡅⠀⠀⠠⡄⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⡝⢾⠇⠀⣼⣏⡀⠰⠃⣈⣹⠆⠀⠀⠛⠏⠀⠰⠷⢯ ⣾⣧⢀⣼⣿⣅⠀⠀⠀⣩⢉⣿⢀⣤⣄⣨⡀⡹⠃⢨⣥⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣿⡅⠀⠩⣇⠀⠐⡇⣀⣀⡀⠀⠀⡯⣇⠀⣺⢽⢀ ⢹⡅⠀⣨⢿⡇⠀⠀⢈⣍⡩⣟⠀⣠⠟⣹⣁⣭⡁⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⡁⢀⣿⣿⡀⢈⡉⠀⡼⠁⠀⠀⣉⠁⠀⢈⣉⡿ ⣛⡗⠘⠻⢾⣃⠀⠈⠈⢛⠯⠷⠘⠓⠓⣑⠱⠽⠆⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⣴⡟⠀⢀⡇⠘⠁⠀⠀⠀⣸⡀⠀⢿⡸⠛ ⣗⣣⢰⣛⡶⡁⠀⠐⠀⣟⣶⣦⢰⣛⡷⣛⡃⣶⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢶⡆⠀⣴⢲⠒⢲⡆⠀⠀⣶⡂⠀⠠⡆⠲ ⢛⡋⢾⣉⣿⡃⠀⠀⠐⢟⢓⣛⢻⣍⡿⢘⡃⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣸⣇⠀⢙⡚⢠⠏⠀⠀⠀⢒⠋⠀⠐⠓⢀ ⣣⡟⢀⣤⡸⠇⠀⢃⠐⣛⣟⣿⠀⣀⠀⢳⢻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣰⣡⣤⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣤⣄⠀⢈⡽⢀⣀⡀⠀⠀⠹⣇⠀⠀⠀⢀ ⡿⣇⣹⢶⣯⠀⠀⠀⠨⠿⡬⠽⠈⣿⠀⠫⢢⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣭⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⡇⠨⢭⡿⠶⡄⠀⠀⢉⡅⠀⠀⠀⠈ ䷩ 𝚕𝚒𝚗𝚎 2306 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/01/12/Voyager_Linux_Offers_a_User_Friendly_Customized_GNOME.shtml Gemini version at https://tuxmachines.org/n/2025/01/12/Voyager_Linux_Offers_a_User_Friendly_Customized_GNOME.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Voyager Linux Offers a User-Friendly, Customized GNOME⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Rianne Schestowitz on Jan 12, 2025 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Voyager⦈_ Quoting: Voyager Linux Offers a User-Friendly, Customized GNOME — I’ve always found the GNOME desktop to be one of the more efficient desktop environments on the market. It’s easy to use, gets out of the way and can be customized with extensions. Sure, it might be quite different than the desktop you’re used to, but getting up to speed with GNOME is much easier than you’d think. And then there are Linux distributions that give GNOME just the right amount of tweaks, so you don’t have to. One such distribution is Voyager Linux, which is a user-friendly Linux distribution for internet, office, multimedia or gaming. In other words, it’s a distribution for casual users who want more from their desktops. Voyager Linux is also a wonderful alternative for those with computers running Windows 10 (which will soon see EOL and will no longer be supported). If that describes your situation, read on, because Voyager Linux will give that aging computer new life, while still feeling like it’s powered by a modern OS. Read_on ⠉⠿⠉⠹⠿⢯⢉⡉⠉⠉⠉⠉⠉⠉⠉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣩⣭⣭⣭⣭⣭⣭⣭⣭⣿⣯⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢸⣿⣿⣿⡯⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠘⠻⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡇⠀⠀⠀⠀⠀⠈⠈⠂⠋⠼⠼⢮⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠈⠙⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣂⣉⣉⣉⣉⣙⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 2375 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://tuxmachines.org/n/2025/01/12/Waddling_the_Waddle.shtml Gemini version at https://tuxmachines.org/n/2025/01/12/Waddling_the_Waddle.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Waddling the Waddle⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Jan 12, 2025, updated Jan 12, 2025 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Turning 12 this summer⦈ The logo of this site has long been flying - or swimming - birds. The flightless birds (penguins) are a mascot to us. We also look after about 40 birds in our home. Some of them have names. The days are getting longer again and in a few months it'll be spring, then it'll be our birthday and also summer. We already have a party kit ready (themed "21") and later this year we'll announce this year's plan. █ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣟⣯⣻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠫⠻⢿⣿⣿⣿⣿⣿⣿⣉⣹⣛⣿⣿⠿⣝⣹⣿⣻⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣻⢶⣾⣛⡿⢿⣿⣤⢯⡛⡻⣫⢮⣚⠛⣞⣛⡻⣿⣿⣿⣧⣤⣬⣾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠈⠑⠁⠘⠻⢿⠳⣶⣾⢚⠲⠿⠀⡀⠉⡒⣿⣿⣿⣿⣟⡋⠈⠛⡺⡿⣿⣿⣿⣿⣿⣯⡷⣿⣯⣯⣧⠀⠈⠉⢁⣉⣿⣿⣽⣴⡶⠆⠀⠈⠹⢷⣿⠻⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⡽⢿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠐⠛⠋⠙⠋⠷⠛⠛⡉⣾⣵⣾⣣⣙⣛⣿⣭⣽⣯⣭⣼⣿⣿⣟⣛⣛⣿⡙⠙⠛⠛⢟⡿⢶⣾⣿⣿⠂⣤⣈⠃⠀⠅⡨⠀⠛⢻⣿⣉⠛⢿⣿⣿⣿⣿⣿⣿⡿⠻⠿⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⠁⠐⢱⣶⡶⢊⣊⣢⢔⣔⣉⡉⢥⢾⠻⠋⠳⡟⢀⠍⢉⠑⠈⠅⠑⠘⠁⠈⠁⠀⢉⠛⠁⠹⣽⣿⣿⠁⠀⠙⠭⠁⠇⠀⠀⠀⠀⠀⠈⠈⠀⠀⠉⠁⠈⠹⠙⢳⡀⠀⠀⠀ ⠋⠛⡒⠂⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⡐⠉⠁⢀⡁⠁⠁⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠈⠀⣼⣿⣿⣷⠀⠀⠀⠀⠓⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠡⠁⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣰⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⡀⠤⠤⢄⡄⠀⢂⠺⠻⠛⢙⡷⠄⠀⠀⠐⠈⠾⡿ ⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠠⠀⠀⠀⠄⢀⠀⠀⣴⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢀⠀⠀⠐⠂⠀⠀⢲⣿⣿⣿⣿⠣⠦⣂⠘⠛⠁⠂⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡿⠋⢠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡁⠀⠀⠀⠀⠀⠀⠀⣀⣾⣿⡿⢿⣿⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣶⣶⣤⣴⣶⣶⣶⣶⣶⣶⡶⢾⣻⣿⣿⣿⣿⣾⣿⣿⣿⣿⣾⠇⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠥⠕⠛⠑⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠛⠛⣿⣿⣻⠿⢋⣭⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠴⠀⢀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠿⠏⠁⣐⠾⣿⣿⡿⠿⠟⠋⠔⢛⣿⣿⣿⣿⠿⠅⠁⠀⠀⠀⢤⠀⠀⠀⠀⠀⠀⠈⠀⠁⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⢀⡀⠀⣻⣿⡿⠁⣏⠁⠀⠀⠀⠀⣮⠏⠈⢉⠀⢤⣀⡀⠀⠀⢀⠰⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠰⢞⣿⠁⠀⣂⠄⠀⠀⠀⠡⠯⠀⠀⠨⣸⣥⣎⠊⡀⡞⢢⠄⡁⠀⠀⠀⠀⠀⢀⠠⢀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠘⡿⠀⠀⠸⠄⠀⠀⣀⡖⠀⠀⠀⢤⠟⢋⠀⠔⠀⠉⣉⠟⡀⢀⠀⠀⠠⠀⠀⠀⠀⠀⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠐⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠉⠒⠊⣨⡇⠀⠐⠆⡄⡠⠈⠠⡦⠀⣄⠈⢠⡇⢙⠀⠀⠀⠀⠀⠆⠉⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⢿⡇⠀⠀⠀⠁⠁⡀⠚⠁⠀⢸⣮⢸⢠⢸⡀⠀⠀⢸⡈⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣦⠀⠀⣻⣿⣿⠟⠁⠀⠀⠀⠀⠀⠇⠀⡀⠀⢸⣿⠀⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⡿⠁⠀⠄⠹⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠇⢀⣠⡇⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⠇⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣤⡄⠀⠀⠀⠀⣼⣿⣿⣿⣿⣷⣷⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣠⣤⣀⣄⣀⣀⡁⢹⠧⡄⠀⠀⠀⠀⠀⠀ ⣠⣠⣯⣚⡧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⣶⣿⣿⣿⠋⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣷⣦⣄⠀⠀⠀⠀⠀ ⠯⢟⣿⣿⣧⢳⡷⢀⠀⠀⠀⠀⢀⡠⢾⣿⣿⣭⣿⣿⣿⡿⡇⠀⠀⠀⠀⠀⠀⠀⣴⡈⠛⢛⣻⢿⣿⣿⣿⣿⣟⣿⢷⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⠀⠀ ⠄⠝⠙⠛⠓⢉⡀⠈⠀⣀⢄⣺⣿⡾⣿⣷⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⣓⣿⣿⣏⣎⠈⠈⠀⢲⠪⣿⣿⣼⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣷⣾⣿⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀ ⠀⣀⡀⠤⣀⣠⡥⣲⣺⣿⣿⢿⠿⣿⣟⣟⣿⣿⣹⣿⡵⡿⡦⢄⣀⠀⠀⠠⠴⢜⡿⠿⠟⡟⣯⣭⣷⣀⡀⠒⠉⢻⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿ ⣀⣤⣿⣿⡿⣯⣝⣿⣿⣿⢟⣿⣾⣿⣍⣝⢱⣾⢿⣷⣿⣟⣷⡻⢶⣯⣽⣭⢄⣭⣲⢆⣠⡤⣚⣟⡿⣗⠀⠀⠀⢐⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝ ⣿⣿⣿⣿⣿⣿⣿⡽⢞⣿⣯⡽⢿⣹⣿⣿⢟⣿⣻⣽⣭⣯⠟⢿⣿⣟⠋⢉⡷⣏⡟⠀⣕⣟⣻⣶⢶⣾⠀⠀⢀⣿⣿⣿⣽⣿⣾⣼⣿⡿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣯⣿⣿⣟⣫⡷⣭⣵⣿⣟⣿⣿⢶⣻⣯⣽⠟⢟⣾⡟⣿⡽⢻⣘⣭⣉⢑⠞⣎⡶⢌⣅⣗⣉⣙⣶⠡⣶⢯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣚⣿⣟⣛⣿⣿⣾⣿⣾⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⢷⡯⣟⣿⣙⣿⣿⣿⢵⡾⡧⠕⠻⢟⣫⣼⣾⣩⡻⣾⣟⣧⣽⡢⠤⠙⡉⣹⠖⡈⣹⠿⣟⡿⠿⠷⠤⠤⢄⣽⣿⣿⡿⠿⢿⣿⠿⣿⠽⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⢿⡿⣟⣿⣿⡟⡿⢿⣿⣿⣿⣿⣿⣿⣿⢿⣿ ⣟⢿⣿⣶⣖⣿⣷⣿⣭⣴⡟⣬⣿⣷⢝⣯⡶⣼⣻⣧⡾⣏⣼⣻⣿⣿⢦⣰⢁⣠⠆⣍⠪⠪⡝⠄⠶⡌⠄⡖⢷⣟⣩⣿⢝⣿⣿⣺⣿⣿⣽⣿⣏⣹⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣷⡟ ⣅⣿⣯⣿⣾⣿⣯⣿⠾⢷⣳⠙⡮⢭⣛⣿⡯⣿⣿⣿⣿⠯⣿⢿⠿⠫⢾⣶⢿⢮⣾⣫⣆⢡⡽⣳⣜⠑⢋⡝⣣⣴⣽⢿⣋⣷⢶⡿⡿⣯⣿⢿⣿⣿⣟⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣯⣇⣿⣿⣿⣿⣿⣿⣿ ⣵⠷⠀⠁⠀⠉⠉⠐⠊⠀⠊⠂⠀⣢⠉⢑⠉⠍⠀⠁⢡⣺⣷⣟⠟⠈⢢⢯⠔⠊⠩⢰⣎⡁⠀⠁⠸⢄⣩⠗⠑⠉⠉⠑⡹⢧⣄⠂⠀⣙⠀⠀⢹⠉⠉⠈⠈⠙⠹⡿⠙⠁⠹⠀⠉⠉⠁⠀⠈⠋⠈⠉⢙⠿⣿⣿⠿⣷ ⣾⣍⣴⡂⠀⣀⣀⡁⠀⠀⠀⠀⠀⢿⣵⡖⠀⠀⠀⢐⠓⢗⡛⣻⡄⠀⠈⠄⢀⠀⠀⢸⡷⠀⠐⠀⠀⢚⡤⠀⢀⢐⣾⣿⡷⡊⣣⠀⠀⠙⠀⠀⢸⠀⠀⠐⠀⠰⠄⠈⠀⠀⣸⣀⣀⠀⠀⠀⣖⠀⣀⠀⠀⠀⣿⣿⣾⣿ ⣟⣿⣿⡇⠖⢿⣿⣯⡒⠀⡀⠀⠀⣭⣎⠄⠀⠨⢁⡩⣼⡿⣼⣷⡆⠂⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠈⣥⡠⢠⣾⣟⠋⢋⢄⣳⠀⠁⡁⠀⠀⢠⠀⠀⠘⠀⠀⢀⡨⠀⢱⣿⣿⠿⢓⣀⡀⠻⡑⢈⠀⠀⠀⣭⣩⣽⣿ ⣿⣿⣿⡇⣀⠀⠚⢛⣛⡃⡀⡀⣚⠉⠀⡀⣴⣞⡂⠈⠘⣿⣿⣟⣇⠐⢀⢢⢄⠀⣀⣈⢒⣊⣠⣄⠐⡀⣛⣿⣮⣀⢒⢊⢡⣾⢟⢒⢀⣬⡐⠀⣘⡀⠀⣀⠀⠀⣨⣧⣈⠋⢉⡀⠂⠐⠂⠀⣀⣵⣆⣀⣀⣴⣿⣿⣿⣿ ⢢⣿⣮⣾⣷⡻⠻⣻⣿⣿⣿⡿⣿⣓⡱⣷⠻⢍⣯⣨⡽⣻⣿⡮⣳⣿⣿⣷⣦⠽⢾⣿⣿⣼⠶⣻⡿⢉⣵⣓⣿⡇⣾⢏⣻⣿⣿⣯⣽⣻⠿⣿⣿⣿⣿⣽⣿⢽⣿⣿⣿⣏⣿⣽⠻⠿⣶⣹⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣻⣟⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠛⠻⢿⣿⣿⣿⣿⣿⣭⣉⣹⣛⣿⣿⠿⣝⣹⣿⣻⣽⣿⣿⣿⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣻⢶⣮⣛⡿⢿⣿⣴⢯⡛⡳⣫⢾⣚⠛⣾⣻⣿⣿⣿⣿⣷⣴⣬⣼⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠈⠁⠁⠉⠻⢟⠳⢶⣞⢚⠲⠿⠀⡀⠈⠒⣿⣿⣮⣿⣟⡎⠘⠃⡺⡿⣿⣿⣿⣿⣿⣯⡿⢿⣯⣯⣧⠀⠈⠉⢁⣉⣿⣿⣽⣴⡶⠖⠀⠈⠸⢷⣿⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⡽⢿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠐⠛⠋⠙⠋⠟⠛⠛⡉⣌⣷⣶⣣⣙⣛⣽⣭⣿⣯⣭⣼⣿⣿⣛⣛⣛⣿⡝⠙⠛⠛⣟⡿⢶⣾⣿⣿⠂⣤⣈⠃⠀⠥⣀⠀⠛⠫⣽⣿⠛⢻⣿⣿⣿⢿⣷⣿⡿⠿⠟⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⠉⠐⢱⢶⠶⢊⣚⣢⢔⣔⣀⡉⢤⢞⠻⠋⠿⡟⢁⠍⢉⠙⠈⠇⠙⠘⠀⠀⠁⠀⢉⠟⠃⠩⣽⣿⣿⠁⠂⠉⢥⡁⠇⠀⠀⠀⠀⠀⠈⠀⠂⠀⠈⠁⠀⠹⠙⠢⡀⠀⠀⠀ ⠋⠛⡒⠂⠀⠀⠀⠀⠀⠀⠐⠈⠉⠈⠀⠀⠀⠐⠉⠁⢂⡁⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠁⠀⠀⠀⠀⠀⠀⠘⠀⣼⣿⣿⣷⠀⠀⠀⠀⠓⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠡⠁⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢰⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠤⠤⢤⡄⠀⢂⠻⠻⠛⢹⡷⠀⠀⠀⠐⠊⠾⡿ ⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠠⠀⠀⠀⠄⢄⠀⠀⣴⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢀⠄⠀⠐⠂⠀⠀⢲⣿⣿⣿⣿⠣⠤⣀⠐⠛⠀⠐⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡿⠋⢠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡀⠀⠀⠀⠀⠀⠀⠀⣀⣾⣿⡿⢿⣿⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣶⣶⣤⣴⣶⣶⣶⣶⣶⣶⡶⢾⣻⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⠇⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠥⠕⠓⠓⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠛⠛⣿⣿⣻⠿⢋⣽⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠴⠀⢀⠀⠀⠀⠀⡀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠿⠏⠁⣐⠾⣿⣿⡿⠿⠟⠋⠔⣛⣿⣿⣿⣿⠿⠅⠁⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠈⠀⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⢀⡀⠀⣻⣿⡿⠁⣏⠁⠀⠀⠀⠀⣼⠏⠈⢉⠀⢤⡀⡀⠀⠀⢀⠰⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠰⢞⣿⠁⠀⣂⠄⠀⠀⠀⠡⠯⠀⠀⠨⣸⣥⢎⠈⡀⡞⢢⢄⡁⠀⠀⠀⠀⠀⢀⠠⢀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠘⡿⠀⠀⠸⠄⠀⠀⣐⡔⠀⠀⠀⢠⠟⢋⠀⠔⠀⠉⣈⠟⠀⢀⠀⠀⠠⠀⠀⠀⠀⠀⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠐⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠉⠒⠊⣨⡇⠀⠐⠆⡄⠠⠈⠠⡦⢀⣠⠈⢠⡇⠙⠀⠀⠀⠀⠀⠄⠉⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠐⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⢿⡇⠀⠀⠀⠁⠁⡀⠘⠁⠀⢸⣾⢸⢤⢸⡀⠀⠀⠰⡈⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣦⠀⠀⣻⣿⣿⠟⠁⠀⠀⠀⠀⠀⠇⠀⠀⠀⢸⣿⠀⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⡟⠁⠀⠄⠹⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠇⢀⣠⡇⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⠇⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣤⡄⠀⠀⠀⠀⣼⣿⣿⣿⣿⣷⣷⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣠⣤⣀⣄⣀⣀⡁⢹⠧⡄⠀⠀⠀⠀⠀⠀ ⣠⣠⣯⣚⡧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⣶⣿⣿⣿⠋⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣯⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣷⣦⣄⠀⠀⠀⠀⠀ ⠯⢟⣷⣿⡧⠳⡶⢀⠀⠀⠀⠀⢀⡠⢾⣿⣿⣭⣿⣿⣿⡿⡇⠀⠀⠀⠀⠀⠀⠀⣴⡈⠛⢛⣻⢿⣿⣿⣿⣿⣟⣿⢷⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⠀⠀ ⠄⠝⠙⠛⠓⢉⣀⠈⠀⣀⢄⣺⣿⡾⣿⣷⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣟⣒⣿⣿⣟⣎⠈⠈⠀⢲⠪⣿⣿⣼⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣧⣾⣿⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀ ⠀⣀⡀⠤⣀⣠⡤⣲⣺⣿⣽⢿⠿⣿⣟⣟⣿⣿⣽⣿⡵⡿⡦⢄⣀⠀⠀⠠⠴⢜⡿⠿⠟⡟⣯⣭⣷⣀⡀⠒⠉⢻⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿ ⣀⣤⣿⣿⡿⣯⣝⣿⣿⣿⢟⣿⣾⣿⡍⣝⢳⣾⢿⣷⣿⣟⣷⡻⢶⣯⣽⣭⢄⣭⣲⢂⣠⡴⣚⣟⡿⣗⠀⠀⠀⢐⣿⣭⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝ ⣿⣿⣿⣿⣿⣿⣿⡽⢟⣿⣯⡽⢿⣹⣿⣾⢟⣿⣻⣽⣭⣯⠟⢿⣿⣟⠛⢉⡷⣏⡟⢂⣕⣝⣻⣶⢶⣾⠀⠀⢀⣿⣿⣿⣽⣿⣿⣼⣿⡿⣿⣿⣿⣟⣻⣿⡿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣯⣿⣿⣟⣫⡷⣭⣵⣿⣟⣿⣿⢶⣻⣭⣽⠟⢟⣾⡟⣿⡿⢻⣘⣭⣉⢱⠖⣎⡶⢌⣕⣖⣉⣙⣶⠡⣶⣯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣿⣝⣛⣿⣿⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⢧⡯⣟⣿⣙⣿⣿⣿⢵⡾⡧⠕⠻⢟⣫⣼⣾⣩⡻⣾⣟⣧⣽⡢⠤⠙⡉⣹⠖⣈⣹⠿⣟⡿⠿⠷⠤⠄⢄⣽⣿⣷⡿⠿⢿⣿⡿⣿⠽⡾⣿⣿⢿⣿⣿⣿⣿⣿⣿⢿⡷⣟⣿⣿⡟⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣟⢿⣿⣶⣖⡿⣷⣯⣭⣴⡟⣬⣿⣷⢟⣯⡶⣼⣿⣧⡾⣏⣜⣻⣟⣿⢦⣐⣁⣠⠆⣍⠪⠪⡝⠄⠶⡌⠄⡖⢷⣟⣩⣿⢝⣿⣿⣺⣿⣿⣽⣿⣏⣹⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣷⡟ ⣅⣿⣯⣿⣾⣿⣭⣿⠾⢷⣳⠙⡮⢭⣛⣿⡯⣿⣿⣿⣿⠯⣿⢿⠿⠫⢾⣶⢿⢮⣾⣫⣆⢡⡽⣻⣜⠑⢋⡝⣧⣶⣽⢿⣋⣷⢶⡿⡿⣯⣿⢿⢿⣿⣟⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣯⣇⣿⣿⣿⣿⣿⣿⣿ ⣵⠧⠀⠁⠀⠉⠉⠐⠊⠀⠊⠂⠀⣢⠈⢑⠉⠍⠀⠁⢡⣺⣷⣟⠟⠈⢢⠯⠄⠊⠩⢰⣎⡁⠀⠁⠸⢄⣩⠗⠑⠉⠉⠁⡹⢧⣅⠂⠀⣙⠀⠀⢹⠉⠉⠈⠈⠙⠹⠿⠉⠁⠹⠀⠉⠉⠁⠀⠈⠋⠈⠉⢙⠿⣿⣿⠿⣷ ⣾⣍⣴⡂⠀⣀⣀⡁⠀⠀⠀⠀⠀⢿⣱⡖⠀⠀⠀⣐⠓⢗⡛⣻⡄⠀⠈⠄⢀⠀⠀⢸⡷⠀⠐⠀⠀⢘⡤⠀⢀⢐⣾⣿⡷⡊⣣⠀⠀⠙⠀⠀⢸⠀⠀⠐⠀⠰⠄⡈⠀⠀⢸⣀⣀⠀⠀⠀⣖⠀⣀⠀⠀⠀⣿⣿⣾⣿ ⣟⣿⣿⡇⠖⢿⣿⣯⡒⠀⡀⠀⠀⣭⣎⠄⠀⠨⢁⡩⣼⡿⣼⣿⡆⠂⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠈⣥⡠⢠⣾⣟⠫⢋⢄⣳⠀⠁⡁⠀⠀⢠⠀⠀⠘⠀⠀⢀⡨⠀⢱⣿⣿⠿⢓⣀⡀⠻⡑⢈⠀⠀⠀⣭⣩⣽⣿ ⣿⣿⣿⡇⣀⠁⠚⢋⣛⡃⡀⡀⣚⠉⠀⡀⣴⣞⡂⠈⠚⣿⣿⣟⣇⠐⢀⢢⢄⠀⣀⣈⢒⣊⣠⣄⠐⡀⣛⣿⣮⣀⢒⢊⢡⣾⣟⢒⢀⣭⡐⠀⣘⡀⠀⣀⠀⠀⣨⣧⣈⠋⢉⡀⠂⠐⠂⠀⣀⣵⣆⣀⣀⣴⣿⣿⣿⣿ ⢂⣿⣮⣾⣷⡻⠻⣻⣿⣿⣿⡷⣿⣓⡱⣷⠻⢍⣯⣨⡽⣻⣿⡮⣳⣿⣿⣧⣦⠽⢾⣿⣿⣼⠶⣻⡿⢉⣵⣓⣿⡧⣾⢏⣻⣿⣿⣯⣽⣻⠿⣿⣿⣿⣿⣽⣿⢽⣿⣿⣿⣏⣿⣽⠻⠿⣶⣹⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⡿⣿⣟⣯⣻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠛⠻⢿⣿⣿⣿⣿⣿⣯⣉⣙⣛⣿⣿⡿⡝⣽⣿⣛⣽⣿⣿⣻⣽⣾⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⡻⢶⣾⣛⡿⢿⣿⣴⢯⡛⡳⣫⢮⣚⠛⣾⣻⣿⣿⣿⣿⣷⣴⣬⣼⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠈⠐⠃⠉⠻⢟⠳⢶⣞⢚⠲⠿⠀⠀⠉⡒⣿⣿⣮⣿⣽⣎⠘⠓⡶⡿⣿⣿⣟⣿⣿⣯⡷⢿⣯⡯⣦⠀⠈⠉⢁⣉⣿⣿⣽⣖⡶⠦⠀⠈⠸⢷⣿⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⡿⢿⣿⣻⣿⣿⣿⣹ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠐⠋⠋⠙⠋⠟⠚⠛⡩⣢⣶⣦⢣⣙⣛⣿⣭⣽⣯⣭⣼⣿⣷⣗⣛⣛⣿⡝⠙⠛⠻⡟⡿⢶⣾⣿⣿⠂⣤⣈⠃⠀⠥⡠⠀⠛⠫⣟⣿⠻⢿⣿⡿⣿⢿⣿⣿⡿⠿⠟⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⠉⠐⢱⢶⠶⢊⡚⣢⢔⣔⣉⡃⢵⢞⠛⠛⠛⢛⢃⠍⢉⠙⠁⠏⠑⠂⠀⠀⠁⠀⢉⠙⠃⠉⣽⣿⣿⠁⠀⠙⢥⠀⠇⠀⠀⠀⠀⠀⠈⠀⠀⠀⠈⠃⠀⠙⠙⢲⡀⠀⠀⠀ ⠋⠛⡒⠂⠀⠀⠀⠀⠀⠀⠐⠈⠉⠈⠀⠀⠀⡐⠉⠁⢂⡁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⢀⠈⠀⣼⣿⣿⣷⠀⠀⠀⠀⠛⠀⠀⠀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠡⠁⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢰⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⡀⠤⠤⢤⡄⠀⢀⠺⠛⠛⣙⡷⠀⠀⠀⠐⠊⠾⡿ ⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠠⠀⠀⠀⠄⢄⠀⠀⣴⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠀⢀⠄⠐⠐⠂⠀⠀⢲⣿⣿⣿⣿⠣⠤⣒⠐⠛⠀⠂⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡿⠋⢠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠃⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡿⢿⣿⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣶⣶⣤⣴⣶⣶⣶⣶⣶⣶⡶⢾⣻⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⠇⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠕⠒⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠛⠛⣿⣿⣛⠿⣋⣭⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠴⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠿⠏⠁⣐⠾⣿⣿⡿⠿⠟⠋⠔⣛⣿⣿⣿⣿⠿⠅⠁⠀⠀⠀⢄⠀⠀⠀⠀⠀⠀⠈⠀⠁⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⢀⡀⠀⣻⣿⡿⠁⣎⠁⠀⠀⠀⠠⣮⠏⠈⢉⠀⢦⣀⡀⠀⠀⢀⠰⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠰⢟⣿⠁⠀⣂⠄⠀⠀⠀⠩⠯⠀⠀⠨⣸⣥⣎⠉⡀⡞⢢⠄⡁⠀⠀⠀⠀⠀⢀⠠⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠘⡿⠀⠀⠐⠄⠀⠀⢀⡖⠀⠀⠀⢠⠟⢋⠀⠔⠀⠙⣙⠟⡀⢀⠀⠀⠠⠀⠀⠀⠉⠀⢾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠐⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠉⠒⠊⣨⡇⠀⠐⠆⡄⠠⠈⠠⡦⠀⣀⠈⢠⡇⢙⠀⠀⠀⠀⢀⠄⠉⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠐⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⢿⡇⠀⠀⠀⠁⠁⡀⠘⠁⠀⢸⣾⢨⢠⢸⡀⠀⠀⠰⡘⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣦⠀⠀⣻⣿⣿⠟⠁⠀⠀⠀⠀⠀⠇⠀⡀⠀⢸⣿⠀⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⡟⠁⠀⠄⠹⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠨⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠇⢀⣰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⠇⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣤⡄⠀⠀⠀⠀⣼⣿⣿⣿⣿⣷⣷⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣠⣤⣀⣄⣀⣀⡁⢹⠇⡄⠀⠀⠀⠀⠀⠀ ⣠⣠⣯⣚⡧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⣶⣿⣿⣿⠋⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣯⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣷⣦⣄⠀⠀⠀⠀⠀ ⠯⢟⣷⣿⡧⠳⡶⢀⠀⠀⠀⠀⢀⡠⢾⣿⣿⣭⣿⣿⣿⡿⡇⠀⠀⠀⠀⠀⠀⠀⣴⡈⠛⢛⣻⢿⣿⣿⣿⣿⣟⣿⢷⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⠀⠀ ⠄⠝⠙⠛⠓⢉⣀⠈⠀⣀⢄⣺⣿⡾⣿⣷⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣟⣓⣿⣿⣏⣮⠈⠈⠀⢲⠪⣿⣿⣼⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣷⣾⣿⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀ ⠀⣀⡀⠤⣀⣠⡤⣲⣺⢿⣽⣿⠿⣿⣟⣟⣿⣿⣹⣿⡵⡿⡦⢄⣀⠀⠀⠠⠴⢜⡿⠿⠟⡟⣯⣭⢷⣀⡀⠒⠉⣻⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿ ⣀⣤⣿⣿⡿⣿⢝⣿⣿⣿⢟⣿⣾⣿⡍⣝⢳⣼⢿⣷⣿⣟⡷⡻⢶⣯⣽⣭⢄⣭⣲⢆⣠⡦⣚⣟⡿⣟⠀⠀⠀⢐⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝ ⣿⣿⣿⣿⣿⣿⣿⡽⢟⣿⣯⡽⢿⣹⣿⣿⢟⣿⣻⣽⣭⣯⠟⢿⣿⣟⠛⢉⡷⣏⡟⠂⣕⣟⣻⣶⢶⣾⠀⠀⢀⣿⣿⣿⣽⣿⣿⣼⣿⡿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣯⣿⣿⣟⣫⡷⣭⣽⣿⣟⣿⣿⢶⣻⣭⣽⠟⢟⣾⡟⣿⡽⢻⣘⣭⣋⢑⠞⣎⡶⢌⣕⣗⣉⣙⣶⠡⣶⢯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣚⣿⣟⣟⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⢧⡯⣟⣿⣙⣿⣿⣿⢵⡾⡧⠕⠻⠟⣫⣼⣾⣩⡻⣾⣟⣧⣽⡢⠤⠙⡉⣹⠆⡈⣹⠿⣟⡿⠿⠷⠤⠄⢄⣽⣿⣷⡿⠿⢿⣿⡿⣿⠽⡿⡿⣿⢿⣿⣿⣿⣿⣿⣿⢿⡷⣟⣿⣿⡟⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣟⢿⣿⣶⣖⡿⣷⣿⣭⣴⡟⣬⣿⣷⢝⣯⡶⣼⣻⣧⡾⣏⣜⣻⣿⣿⢦⣐⢁⡠⠆⣍⠪⠪⡙⠄⠶⡌⠄⡖⢿⢟⣩⣿⢝⣿⣿⣺⣿⣿⣿⣿⣏⣹⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣷⡟ ⣅⣿⣯⣿⣾⣿⣭⣿⠾⢷⣳⠙⡮⢭⣛⣿⡯⣿⣿⣿⣿⠯⣿⢿⠿⠫⢾⣶⢿⢮⣾⣫⣆⢡⡽⣻⣜⠑⢋⡝⣧⣶⣽⢿⣋⣷⢶⡿⡿⣯⣿⢿⣿⣿⣿⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣯⣇⣿⣿⣿⣿⣿⣿⣿ ⣵⠧⠀⠁⠀⠁⠉⠐⠊⠀⠊⠂⠀⣢⠉⢑⠉⠍⠀⠁⢡⣺⣷⣟⠞⠈⢢⠯⠔⠊⠩⢰⣎⡁⠀⠁⠸⢄⣩⠗⠑⠉⠉⠑⡹⢧⣄⠂⠀⣙⠀⠀⢹⠉⠉⠈⠈⠙⠽⠿⠙⠁⠹⠀⠉⠉⠁⠀⠈⡋⠈⠉⢙⠿⣿⣿⠿⣷ ⣾⣍⣴⡂⠀⣀⣠⡁⠀⠀⠀⠀⠀⢿⣱⡖⠀⠀⠀⣐⠓⢗⡛⣻⡄⠀⠀⠄⢀⠀⠈⢸⡷⠀⠐⠀⠀⢺⡤⠀⢈⢐⣾⣿⡷⡊⣣⠀⠀⠙⠀⠀⢸⠀⠀⠐⠀⠰⠄⡈⠀⠀⣸⣀⣀⠀⠀⠀⣖⠀⣀⠀⠀⠀⣿⣿⣾⣿ ⣟⣿⣿⡇⠖⢿⣿⣯⡒⠀⡀⠀⠀⣭⣎⠄⠀⠨⣁⡩⣽⡿⣼⣿⡆⠂⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠈⣥⡠⢠⣾⣟⠋⢋⢄⣳⠀⠁⡀⠀⠀⢠⠀⠀⠘⠀⠀⢀⡨⠀⢱⣾⣿⠿⢓⣀⡀⠻⡑⢈⠀⠀⠀⣭⣩⣿⣿ ⣿⣿⣿⡇⣀⠀⠚⢋⣛⡃⡀⡀⣚⠉⠀⡀⣴⣞⡂⠈⠘⣻⣿⣟⣇⠐⢀⢢⢄⠀⣀⣈⢒⣊⣠⣄⠐⡀⣛⣿⣮⣀⢂⢊⣡⣾⣟⢒⢀⣬⡐⠀⣘⡀⠀⣀⠀⠀⣨⣧⣈⠋⢉⡀⠂⠐⠂⠀⣀⣵⣆⣀⣀⣴⣿⣿⣿⣿ ⢂⣿⣮⣾⣷⡻⠻⣻⣿⣿⣿⡷⣿⣓⡱⣷⠻⢍⣯⣨⡽⣻⣿⡮⣳⣿⣿⣧⣦⠽⢾⣿⣿⣼⠶⣻⡿⢉⣵⣓⣿⡇⣾⢏⣻⣿⣿⣯⣽⣻⠿⣿⣿⣿⣿⣽⣿⢽⣿⣿⣿⣏⣿⣽⠻⠿⣶⣹⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠹⡿⣿⣽⣿⣿⣿⣟⣿⡿⡿⡿⢿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣷⣖⠘⣻⣿⣧⣿⣶⣷⣿⣻⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⡿⠿⣿⠿⠿⠿⠿⣿⣟⣿⢿⣿⣷⣴⣽⡉⠙⠟⢟⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠙⠻⢟⣟⢛⢿⣿⣖⣒⣢⢭⣻⢟⠇⠒⢷⣢⣽⣿⡀⣀⢻⣷⣿⣿⣿⣿⣿⣿⢟⣿⣿⡿⣿⣿⣿⠯⠀⠘⢽⠿⠖⠾⣿⣿⠿⢠⢇⢀⡈⣬⣄⣠⣿⣾⣾⣿⣿⣿⣿⣻⣿⣷⣿⢾⣿⡿⣿⣿⢿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠈⠛⠓⠐⠐⡉⠀⠀⡤⠤⠧⣿⣟⠀⠈⠋⠁⣷⣬⡛⠿⢷⢮⣿⢟⣛⠉⢿⣣⢠⢯⣤⣤⣤⡤⣾⣾⣿⣞⣟⣚⣁⣫⠙⠀⢀⠘⠉⠙⠛⠛⢛⣿⣿⣿⣿⣿⣿⣿⡿⣯⣽⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠀⢀⣀⣀⡀⢁⡁⠀⠀⢸⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣷⣿⣶⣶⣾⣿⣶⣒⢤⠀⠁⠀⠉⠙⠃⠓⠻⠳⠚⠢⠈⠐⠂⠂⠀⠘⠛⠶⠐⠙⠩⠟⠛⢻⢿⡛⠉⠉⠈ ⢠⡠⣄⡀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠠⠀⠀⢀⠨⠌⠉⠱⠆⠖⠈⠀⠀⠀⠉⠙⠛⠛⠿⡿⠛⠋⠀⣤⣴⣶⣶⣶⣿⣿⣿⣿⣷⡄⠀⠀⠀⢀⢀⠀⠀⠀⢤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⢿⣿⣿⣿⣿⣿⡿⣋⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⣤⣤⢤⣄⠄⠀⠀⢀⠀⣠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠡⢒⣽⣿⣿⣇⠀⠀⠠⠀⠀⠀⠀⠀⣤⠄⠒⠠⠉⠍⠐⠀⠀⠐⠀⠀⠀⠒⠊⠀⠀⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠜⢤⠝⣠⣴⣿⣿⣿⣿⠃⣀⠀⠴⠠⡁⠒⠀⠈⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢒⣸⣿⢿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠠⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢛⠀⠀⣿⣵⡿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⣀⠀⠂⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣠⣴⠊⠁⡿⣿⠟⣿⣿⣿⡿⠀⠀⠀⡀⠀⠀⠀⢀⣰⣦⠈⠂⠐⠂⠀⠀⠀⠠⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⡯⠵⠿⣿⣿⡿⠁⠀⠐⠀⢈⣡⣶⣾⣿⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠠⠈⠀⠀⠀⠀⠀⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠒⠂⣾⣿⣿⣿⠃⠀⠀⣿⢿⣿⣾⡟⣿⣦⣤⣤⣾⣿⣿⣿⢿⣧⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⡀⠀⠀⠉⠛⠉⢈⠀⣿⣿⣿⣿⣿⣿⠟⢁⠀⠿⠀⢨⠀⠂⠀⠀⠀⠀⠀⠈⠀⠐⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣇⠀⠀⢀⣀⣤⡞⠀⢿⣿⣿⣿⡟⠹⠀⡁⠀⠀⠠⠀⡆⢴⠀⠀⠀⠀⠀⡀⠂⠄⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡁⠀⢘⣿⣿⣾⡇⠀⠀⠿⠿⠏⠁⠀⠨⠅⠀⢿⡄⠸⡃⠀⠀⠀⠀⢠⠰⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠏⠀⢸⡟⢿⠟⠁⠀⠀⠀⠀⠀⠀⡆⠀⠀⠠⢸⣗⠘⠡⠸⠆⠀⠀⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⡤⠀⠀⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠣⠀⡉⠸⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⢀⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡏⠁⠠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⢳⣾⠀⠉⠈⠁⠁⠈⠉⠁⡌⠁⠈⠷⠅⠑⡭⠏⠊⠉⢡⡶⣷⣚⡉⠈⠀⢗⠂⠀⠀⠰⣢⠁⠁⠈⢘⠻⡅⠖⠁⠈⠁⠐⠹⢯⡟⠋⠀⠟⠈⠀⢹⠀⠀⢸⠈⠉⠕⡉⠈⠈⢙⠛⠀⠀⠁⠁⠘⠏⠚⠉⡙⠻⣿⣿⣿⣿ ⡾⣓⣢⡂⠀⣀⣴⡃⠀⠀⠀⠀⠀⡿⣶⡂⠄⠀⠀⡠⡭⣉⣷⣺⠃⠀⠀⠄⢀⠀⠀⢸⠾⠀⠀⠀⠀⢦⠉⠀⢀⠀⢾⣿⡷⡂⡳⠀⠀⠈⠀⠀⢘⠀⠀⢨⠀⠐⠄⠈⠀⠀⣸⣀⣀⠀⠀⠀⡾⠀⠀⠀⠀⢀⣿⣿⣿⣿ ⣟⣿⣷⠃⠞⢿⣿⣯⡒⠀⡂⠀⢀⣽⠛⠀⠀⠀⢀⡉⡼⡻⣿⣯⡁⠀⠀⠅⠀⠀⠀⢺⡃⠀⠀⠀⠈⠐⡀⠠⢠⣼⣟⠛⠂⠄⡖⠀⠁⠀⠀⠀⢈⠀⠀⢘⠀⠀⠀⠈⠀⢱⣿⣿⠿⠓⠀⠀⠻⠀⠀⠀⠀⠀⣻⣿⣿⣿ ⣷⣬⣝⡁⣀⣀⣯⣝⣛⢃⠀⠀⣘⣁⠀⢀⣰⣲⡁⣈⢈⣿⣝⡈⡖⠀⠀⣔⣮⠀⠀⡘⠂⣚⣀⣐⠀⠀⣹⣶⣤⠀⠀⢂⣤⣾⣆⣀⠀⣀⡐⣂⣰⡀⢀⣈⡀⠀⣸⡶⠜⢋⡉⠀⠀⣀⠀⠀⣠⣤⣀⠀⣀⣤⣿⣿⣿⣿ ⣽⣿⣿⠿⣟⢟⣣⠾⣟⣿⣽⣴⣥⣾⡤⢚⣷⣼⣭⣮⣕⡽⠶⢯⣿⣿⣯⠛⢀⠬⣶⣝⡟⣿⡟⠏⢡⣮⣿⣽⣛⣹⣷⣾⣿⣿⣿⣿⣿⣿⣍⢛⢛⣫⣾⣭⡽⢟⣷⣿⣿⣽⣿⡿⣯⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠂⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠅⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠆⠀⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⣀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠻⣿⣟⣿⣿⢿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⢾⣟⣻⣹⣿⣿⣿⣿⣿⣏⠻⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⡿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠈⠈⠉⠛⢟⢟⣭⣿⢿⣦⣬⣩⣝⡓⠫⡛⠋⠩⠯⣊⣛⠻⢟⣿⠿⡫⢟⢿⣿⣿⣾⣿⣿⣯⣟⡿⣿⣷⡈⠙⣥⣴⣤⣴⣦⡹⣟⣏⠉⠛⠛⠋⠉⢉⠙⠾⣻⣛⣻⢿⣿⣦⣦⣨⣉⣉⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠛⠒⠩⠻⠙⠪⠷⠃⠛⠞⠀⠂⠀⢛⣊⣜⣾⣯⣉⣃⡈⡈⡺⣿⣿⣿⣿⣻⣯⡟⡽⢷⣿⠀⣿⣿⣿⣿⣿⣿⣿⡶⡦⠤⠢⢀⢂⠐⠘⠗⠿⠿⡶⢿⣿⣯⣿⣿⣯⣿⣿⣿⣻⡛⢻⢿⣿⣿⢿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠑⠀⠉⠉⠱⠎⡉⢈⡁⢫⢓⣉⣉⣿⣫⣭⣷⣵⣤⣴⣾⡿⢥⡾⣿⣿⣿⣿⣿⣷⣟⠲⠲⠶⠶⠾⣀⣀⣀⠀⠤⠄⠑⠍⠙⠿⢝⠛⠛⠿⢿⣿⣿⣶⣮⣿⢟⣿⢿ ⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠉⢂⠒⠎⡈⡑⠁⠀⠁⠀⢉⠀⠈⠙⠋⠋⠅⡈⠉⠉⠀⢀⠀⠀⠨⢭⣿⣿⠿⣿⣿⡆⢀⠀⠀⠀⠁⠁⠀⠀⠂⠀⠈⠁⠀⠀⠀⠁⠀⠁⠐⠉⠉⠈⠉⠋⡐⠀⠀ ⠀⠁⢀⠡⠀⠀⠀⠠⠀⠀⠀⠀⠈⠁⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⣐⡉⢀⣴⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠘⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣴⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⠀⠄⠀⠀⠂⢰⠶⠶⠲⡶⠂⠀⠒⠀⠀⠶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⡄⠤⠤⣼⣿⣿⣿⣿⣿⡿⠀⠒⢀⡀⠂⠀⠐⠘⠀⠀⠀⠒⠈⠈⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣁⢀⠁⣼⣿⣿⣿⣿⣿⣿⠃⠂⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠀⠄⠰⣿⣿⣿⣿⣿⣿⡏⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠆⠀⠀⣿⣿⣿⣿⣿⡿⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣿⣿⠀⠀⢰⣷⣶⣾⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠠⠖⠀⠀⠠⣿⣿⣿⣿⣿⣯⠀⠀⠈⠻⠿⠟⠟⠀⠀⠀⠀⣆⢀⠀⠀⠀⢀⠀⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⣿⣥⠗⠉⡀⡞⣠⡤⡀⠀⠀⠀⠀⠀⠀⢀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣉⡁⠀⢰⣶⣶⣏⠀⠀⠀⠀⢴⠟⢉⠄⠔⠀⠁⠘⠛⠀⢀⠀⠀⠠⠀⠀⠈⠈⠡⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⣼⣾⣯⣿⣭⢽⣯⣾⣿⣿⡥⣼⣛⢉⡳⢧⣬⣽⣯⣵⣯⢵⣴⣞⣟⠿⠭⠍⠀⠖⣉⡉⢐⠓⣛⣻⠀⠀⠀⢉⠽⣛⢫⡿⢿⣿⡗⣥⣽⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣻⣿⣿⣷⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣽⣿⣟⢺⣿⢟⡿⢿⠤⠟⣿⢿⢻⢤⣧⢞⣿⣿⢿⠻⡗⣟⣥⣭⣻⣿⢿⠭⢞⡯⢟⣲⠗⣅⡬⠿⠟⡀⠀⠀⡬⣼⣽⣾⣾⣿⣯⢿⠽⠿⡿⣿⣾⣽⣿⣿⣿⣿⣿⣾⡭⣿⣿⡿⣿⣿⣿⣻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢿⣿⣿⣯⡿⣿⠴⠗⣿⣿⣵⣶⣏⣱⣪⣵⣿⣾⡿⢽⣞⣑⣙⠯⣿⣵⠀⣜⠯⡞⡉⠰⣦⣫⣽⣿⠺⡦⣤⣴⣨⣿⣯⡟⠗⠀⠩⣥⣡⣿⡿⣿⣿⣿⣿⣏⣻⡿⢿⣿⣿⣿⣿⣾⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢿⢿⣿⣷⠿⣍⣾⣾⡻⢯⣿⢻⣻⡯⣗⠾⣿⠛⣭⣯⢍⣫⡟⣙⣉⢲⢎⢀⡜⢒⠑⠦⣂⣔⣄⣊⣺⡆⢻⡿⠪⠽⣿⠅⠀⠀⠐⢾⣷⣿⣿⣖⢿⣶⡿⢿⣿⡷⢾⣶⣾⣻⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢾⠛⠀⠀⠀⠁⠉⠁⠊⠁⡀⠀⠈⠁⡉⠁⠽⠏⠈⠉⢀⣫⣦⣾⠀⠀⠈⢝⠁⠂⠈⢁⣾⠟⠉⠉⢹⣷⣤⠆⠀⠀⠀⠀⠀⢀⡀⠉⠁⢉⠈⠀⢩⠈⠉⠘⠈⠁⠸⣿⠈⠉⢉⠋⠉⠈⠈⠉⠘⠋⠚⠉⢙⠻⣿⣿⣿⣿ ⣿⣷⣦⠄⠀⣀⣤⡬⠀⠀⠀⠀⠐⣽⠴⡄⠀⡀⠀⣔⣁⢺⢿⢧⠄⠀⠀⠀⢀⠀⠀⠨⡩⠀⠀⠀⠀⠐⠀⠀⢀⢐⢾⣿⡷⢂⣒⠀⠀⠀⠀⠀⢀⠀⠀⢐⠀⠠⠀⠊⠀⠀⢘⣀⣀⠀⠀⠂⢶⡄⠀⠀⠀⢀⣿⣿⣿⣿ ⣝⣷⣿⠆⠖⢿⣿⣯⡒⠀⡀⠀⠀⣿⠟⠀⠐⠂⢑⠊⣻⡯⣿⡟⠅⠀⠀⠀⠀⠀⠀⢐⠀⠀⠀⠀⠀⠀⣠⠠⢠⣼⠟⠫⠃⠄⠋⠀⠀⣠⠀⠀⢰⠀⠀⢸⠀⠀⢠⠀⠀⢱⣾⣿⠿⠓⠀⡀⠣⠀⠀⠁⠈⠁⢻⣿⣿⣿ ⣷⣾⣾⣃⣀⣀⣦⡿⣻⡃⠀⣀⣾⡅⠂⠀⡀⣥⡒⢂⣈⣋⣯⣬⠀⣀⡀⣰⣜⠀⠀⡘⠀⠀⢠⡄⡀⠀⠰⣯⡀⣐⡀⢂⢡⣼⠟⠀⠂⣔⠀⠀⣘⡀⢀⣘⡀⠀⣸⣆⡈⠛⣹⡁⢀⡀⠀⠀⣀⣧⢀⡀⠀⣤⣴⣿⣿⣿ ⣿⣿⠿⢿⢿⣻⣓⢟⣟⣿⡿⡿⣍⣓⣚⡻⣫⣭⣘⣳⣷⡶⣬⡭⢼⣺⣿⣷⣅⣻⣟⡷⢤⣚⣹⠾⠓⢃⢔⡿⡮⣽⣚⣛⣿⣿⡶⣻⣟⡽⣾⣿⣛⣽⣿⣿⣿⣍⢪⢿⣿⣿⠿⣿⢿⣿⣞⣿⣯⣗⠶⢕⣉⣽⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠅⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠆⠀⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⣀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠻⢻⣟⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⢿⣟⣻⣻⣿⣿⣿⣿⣿⣏⠻⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠉⠈⠉⠻⢟⣟⣭⣿⢿⣦⣬⡭⣝⠓⢩⡻⠋⢭⡯⡈⣟⠻⢛⣿⣿⣯⣟⢿⣿⣿⣶⣿⣿⣿⣿⡻⣿⣷⡈⠙⣥⣴⣤⣴⣦⡹⣿⣏⠍⡟⡟⠋⠉⠈⠙⠮⣻⣛⣻⣿⣿⣦⣤⣬⣉⣌⣩⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠙⠒⠉⠻⠙⠪⠷⡒⡛⠞⠀⠂⠀⢛⣊⣜⣾⣯⣉⣃⡌⢞⠪⣿⣿⣿⣿⣿⣯⡟⡵⢗⣿⠠⣿⣿⣿⣿⣿⣿⣿⣶⠶⢴⠂⣰⢢⠒⠘⠞⣿⢿⡿⢷⣿⣯⣿⣿⣿⣿⣿⣿⣿⡻⡿⢿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠑⠀⠉⠉⠱⠏⠁⠑⡁⠻⢷⣋⣉⣽⣫⣯⣷⣵⣤⣦⣾⣟⢧⡾⣿⣿⣿⣿⣿⣷⣟⠲⠲⠶⠶⢶⣡⣐⣀⠀⠠⠄⠑⠍⠝⠾⣽⣛⠛⠿⢿⣿⣿⣶⣾⣿⣛⣿⢿ ⠀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠉⡒⠖⠆⣈⡂⠀⠀⠁⠰⢈⠀⠙⠙⠋⠛⠁⡀⠈⠉⠐⢀⠀⠀⠨⢭⣿⣿⠿⣿⣿⡆⠀⠀⠀⠀⠁⠈⠈⠀⠒⠀⠈⠉⠀⠀⠈⠁⠀⠀⠀⠉⠉⠈⠙⢋⡐⠀⠀ ⠀⠁⢀⠁⠀⠀⠀⠠⠀⠀⠀⠀⠈⠁⠄⠀⠀⠀⠀⠀⠌⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⣐⡉⢀⣴⣿⣿⣿⡇⠀⠈⠀⠀⠀⠀⠘⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣴⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⠀⠄⠀⠀⠂⢲⠶⠶⠲⡶⠂⠀⠒⠀⠀⠶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢠⠄⠴⠤⣼⣿⣿⣿⣿⣿⡿⠀⠒⢀⠀⠒⠀⠐⠘⠂⠀⠀⠒⠊⠈⠂⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣑⢀⠁⣼⣿⣿⣿⣿⣿⣿⠃⠂⠋⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⡏⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠆⠀⠀⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣿⣿⠀⠀⢰⣷⣶⣾⣿⡟⠀⢀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠠⠖⠀⠀⠠⣿⣿⣿⣿⣿⣏⠀⠀⠈⠻⠿⠟⠟⠀⠀⠀⢠⣦⢀⡀⠀⠀⢀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⣽⣥⠇⠉⡀⡞⢀⡤⡀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⡁⠀⢰⣶⣶⣏⠀⠀⠀⠀⢴⠟⢉⠄⠔⠀⠘⢘⠛⠀⢀⠀⠀⠀⠀⠀⠈⠉⠉⡛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣷⠀⣾⣿⣿⣿⡀⠀⠀⠀⣄⡤⠀⠠⠗⠀⢄⠈⢀⠇⠙⠂⠀⠀⠀⢀⠄⠁⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⢀⡷⠬⣵⣿⣷⡄⠀⠀⠁⠀⡀⠘⠀⠁⢘⣇⢨⡄⢠⡀⠀⠀⠰⠈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠋⣻⠸⠁⢱⣿⣿⣿⣿⣄⡀⠀⠀⠇⠀⠀⠀⢸⡷⠀⠈⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡟⠀⡆⡜⠀⠀⠺⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠐⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣍⢁⠘⠀⠀⠀⠀⠿⣿⡛⠳⠉⠉⢫⠿⣿⣿⠇⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠉⠉⠛⠂⠒⠁⢀⣈⡛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣀⣠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⢆⠀⠀⠀⠀⠀⠀ ⣦⣴⣶⣶⣿⡗⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣴⣿⣶⣶⣦⣤⣤⣴⣦⣤⣤⣤⣄⣀⣀⣀⣀⣀⡀⠀⠣⠘⠀⠀⠀⠀⠀⠀⠀ ⠋⠈⣹⣿⣿⠆⣫⠇⢄⠀⠀⠀⠀⠀⣀⣠⣶⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣲⣦⣤⡀⠀⠀⠀ ⠈⠉⠀⠈⠁⠁⠀⢠⠀⠀⠀⣀⡴⣾⣿⣿⣯⣾⣿⣯⠿⢿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⡟⠿⠿⠿⠿⣿⣷⡿⣿⡷⣶⣿⣿⣿⣿⣿⣿⢿⣿⡿⡿⣿⣿⣿⡿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀ ⠠⠀⢶⡐⣂⠀⠀⢀⢠⣔⣭⢿⡻⣷⣿⣿⡻⣟⣛⣷⣿⣿⡷⣶⠢⢀⠀⠀⠀⣀⠳⢰⣿⣿⣯⠀⠀⠙⠻⢽⣟⣻⣷⣿⣹⣿⣿⣿⣽⣿⣿⣯⣿⣟⣟⣿⣿⣿⢛⣻⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿ ⢁⠀⣀⣠⣤⢴⣗⣿⢿⣷⣿⠿⣟⣷⠷⡶⣿⢻⣿⣻⣯⣿⣾⣶⡿⣿⢷⣦⣶⣿⣿⣿⡿⣿⡛⠇⠀⠈⠌⠉⡛⣿⣟⣿⣿⣿⣿⣹⣟⣿⣿⡿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿ ⣼⣾⣯⣿⣭⢿⣯⣾⣿⣿⡥⣼⢛⢉⡳⢧⣬⣽⣯⣵⣯⢥⣴⣞⣟⠿⠽⠍⠀⠖⣉⡉⢐⠓⣛⣻⡀⠀⠀⠉⠽⣛⢫⡿⢿⣿⡗⡥⣽⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣷⣟⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣽⣿⣿⢺⣿⢟⡾⢿⠤⠟⣿⢿⢻⢤⣧⢞⣿⣿⢿⠻⡗⣟⣥⣭⣿⣿⢻⠭⢞⠯⢟⣲⠗⣍⡬⠾⠟⡀⠀⢀⡬⣼⣽⣾⣾⣿⣯⢿⠽⠿⡿⣿⣾⣽⣿⣿⣿⣿⣷⣾⡭⣿⢿⣿⣿⣿⣿⣻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢿⣿⣿⣯⡿⣿⠴⠗⣿⣿⣽⣖⣏⣳⣺⣵⣿⣾⡿⢽⣞⣑⣙⠯⣿⣵⠀⣜⠯⢞⡁⠰⣦⣫⣽⣿⠺⡦⣤⣴⣸⣿⣯⡟⠗⠀⠩⣥⣠⣿⡿⣿⣿⣿⣿⣏⣻⡿⢿⣿⣿⣿⣷⣾⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢿⢿⣿⣷⠿⣍⣾⣾⡻⢯⣿⢻⣻⡯⣗⠾⣿⠛⣭⣯⢍⣫⡟⣙⣉⢲⣎⢀⡜⢐⠑⠶⣂⣔⣄⣂⣺⡆⢻⡿⠪⠽⣿⠅⠀⠀⠐⢾⣷⣿⣿⣖⢿⣿⡻⢿⣿⡷⢾⣶⣾⣻⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠾⠛⠀⠀⠀⡁⠉⠐⠊⠁⡀⠀⠈⠁⡉⠁⠽⠏⠈⠉⢀⣫⣦⣾⠀⠀⠈⢙⠁⠂⠈⢁⣾⠏⠉⠉⢹⣷⣤⠆⠀⠀⠀⠀⠀⢀⡀⠉⠁⢉⠈⠀⢩⠈⠉⠘⠈⠁⠱⣿⠈⠉⢉⠛⠉⠀⠈⠁⠘⠋⠛⠉⢙⠳⣿⣿⣿⣿ ⣿⣷⣦⠄⠀⣀⣤⡬⠀⠀⠀⠀⠐⣭⠴⠄⠀⡀⠀⣔⣁⢺⢾⢷⠄⠀⠀⠀⢀⠀⠀⠨⡩⠀⠀⠀⠀⠐⠀⠀⢀⠐⢺⣿⣷⢂⣒⠀⠀⠀⠀⠀⢀⠀⠀⢐⠀⠠⠀⠈⠀⠀⢘⣀⣀⠀⠀⠂⢶⡄⠀⠀⠀⢀⣿⣿⣿⣿ ⣝⣷⣿⠇⠖⢿⣿⣫⡒⠀⡀⠀⠀⣿⠟⠀⠐⠂⢑⠊⣻⡿⣿⡟⠅⠀⠀⠀⠀⠀⠀⢐⠀⠀⠀⠀⠀⠀⣠⠠⢠⣼⠟⠫⢃⠀⠋⠀⠀⣀⠀⠀⢰⠀⠀⠸⠀⠀⢠⠀⠀⢱⣾⣿⠿⠓⠀⡀⠣⠀⠀⠁⠈⠁⢻⣿⣿⣿ ⣷⣾⣾⣃⣂⣀⣦⡿⣻⡃⠀⣀⣾⡁⠂⠀⡀⣥⡒⢂⣈⣋⣯⣮⠀⣀⡀⣰⣜⠐⠀⡘⠀⠀⢠⡄⡀⠀⠰⣯⡀⣐⡐⢂⢡⣼⠟⠀⠂⣔⠀⠀⣘⡀⢀⣈⡀⠀⣸⣆⡈⠛⣹⡁⢀⡀⠀⠀⣀⣷⢀⡀⠀⣤⣼⣿⣿⣿ ⣿⣿⠿⢿⢿⣻⣓⢟⣟⣿⡿⡿⢍⣒⣚⡻⣻⣭⡘⣳⣷⡶⣬⡭⢬⣺⣿⣷⣅⣻⣟⡷⢤⣚⣹⠾⠓⢃⢜⡿⡬⣽⣚⣻⣿⣿⡶⣻⣿⡽⣾⣿⣛⣽⣿⣿⣿⣍⣪⢿⣿⣿⠿⣿⢿⣿⣞⣿⣿⣷⠶⢕⣉⣽⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠛⠛⠉⡉⣉⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠿⠿⡿⡿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣴⣶⣦⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠈⠁⠙⠟⠿⠟⣽⣳⣮⣭⣍⣉⡛⠟⣿⠻⣙⡛⣿⠛⠻⣿⠟⠿⡷⣺⣿⣿⣺⣿⣾⣿⣿⣻⢿⣿⣿⣿⣿⣿⡿⣿⣛⠛⡿⣿⣿⣿⡿⡿⠿⠿⠿⠿⣿⣟⢿⣽⣿⣿⣍⣙⡙⠛⠿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠳⠀⠪⢟⠂⢴⣤⠙⠫⠥⠀⠁⠈⠚⠗⢦⣾⡟⠲⠙⠃⠟⢟⣽⣿⣯⡽⣿⣿⡾⣻⣿⣿⢣⡀⠀⠘⠋⠙⢻⣿⣿⠧⣥⣅⡠⡄⣡⣤⣴⣿⣶⣿⣯⣻⢳⣻⣷⣾⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠛⠋⠛⠪⠩⠩⠉⠦⠲⢌⠛⠛⠿⢾⣛⣛⣊⣑⣬⣷⡶⡥⢦⢤⡤⢤⢶⣿⣿⣿⣶⣌⣿⢀⡁⠀⠈⡈⠛⠉⠛⠟⠿⣿⣿⣿⣿⣿⣿⣷⣶⣏⡛⣺⣿⣽⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠒⠶⠲⠆⡐⡁⢠⠈⢉⠑⠛⠏⠟⢿⢟⢟⠋⠓⠛⠻⠿⠻⠛⠹⠉⠉⠀⢸⣿⣿⣿⣿⣿⠏⠙⠛⠉⠂⠆⢌⡁⠁⠀⠄⠈⠙⠓⠀⠈⠛⠿⠛⠛⠟⢿⢷⠛⠻⠛ ⠉⠂⠀⠂⠂⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠂⠠⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⠀⡀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠠⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣀⠀⠀⣼⣿⣿⣿⣿⣿⠇⠀⠀⠀⠠⠤⠤⠀⡀⠈⠈⠍⢉⠀⠀⠀⠁⠈⠤⠘⠁⡀⠀⠀⠀⠀⠚ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠊⠀⠉⠀⠀⣼⣿⣿⣿⣿⣿⣿⢗⠸⠉⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠈⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⣾⣿⣿⣿⣿⣿⣿⠟⠀⡄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⠇⠀⢀⣿⣿⣿⣿⣿⣿⠋⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠂⠀⠀⠀⠀⠾⣿⣿⣿⣿⣿⠀⠀⠘⢿⣿⣿⣿⠟⠁⠀⢀⠀⠀⠀⠀⠀⠀⣡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⡿⠿⠀⠀⠀⠀⠉⠙⠉⠀⠀⣒⡙⣹⠶⠄⢠⡄⠀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⡄⠀⣶⣦⡀⠀⠀⠀⠀⢀⣾⠟⠋⢀⠈⠐⠸⣷⡅⠘⠀⠀⠀⠀⠀⠒⠂⠔⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⢸⣿⣿⡟⠀⠀⠀⠀⢈⠁⠀⠃⣤⠀⠀⠰⠀⣰⠠⡄⠀⠀⠁⠀⠀⠀⠀⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⢸⠷⠉⠀⠀⠀⠀⠀⠰⠀⠀⠠⠃⠀⠹⣠⢀⠇⠐⠀⠀⠀⢀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⡿⢫⠁⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⢸⣻⠘⠉⠈⠇⠀⠀⠈⠁⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⢣⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡨⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⢇⣾⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⣂⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⡀⠀⠀⠀⠀⠀⠀⠀ ⣤⣶⡷⣽⡒⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣇⣿⣏⠻⣿⣿⢿⣦⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠸⠉⠂⠀⠀⠀⠀⠀⠀ ⢐⣻⣿⣽⠆⣻⠗⣀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣴⣶⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡻⣿⣿⣻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣦⣤⣤⣤⣀⣀⣀⣀⣀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠁⠉⠉⠁⠨⠠⠀⠀⠀⠀⢀⣤⣶⣿⢿⣿⣿⢿⣿⣿⣣⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠯⠨⠝⠛⣿⣿⣿⢭⣿⣿⡽⠛⢿⠏⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⢦⣤⣀⠀⠀⠀⠀ ⠠⢤⠠⡀⠀⠀⠀⠀⣠⣥⢞⡿⢿⣿⣷⣿⣿⡧⠿⢿⣟⣦⣦⡀⠀⠀⠀⠀⠀⠀⠀⢩⣦⡄⠀⠛⢟⣛⣿⣗⡿⠟⠽⢟⣢⣾⣿⣿⣿⣻⣿⣿⣿⣿⣯⣿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀ ⠀⠈⠉⠁⠀⡤⣴⣭⣶⣷⣛⣿⡿⡿⡽⣿⣛⣯⣿⣿⣿⣟⠛⠿⣶⢴⣀⣰⣊⢖⣾⡿⣿⠇⢀⠒⡒⠲⡿⠞⠉⠀⠴⠉⢪⣿⣯⣽⣿⣿⢿⣻⠿⢿⣿⣿⣾⣻⠻⣟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⣠⣼⣶⣯⡹⠿⣯⣾⡿⢽⣪⢻⢿⠾⣿⢻⣿⣿⣯⣟⣾⣖⡏⡟⣟⣨⣥⣭⣿⣿⣿⢟⣝⠺⠁⠂⠰⠒⠖⠛⣠⣐⠀⣺⣶⣶⡙⣾⣿⣟⡷⡿⣿⣿⣽⣿⣿⣿⣿⣷⣶⣟⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣾⣽ ⣿⣯⢽⣾⣵⣾⣿⣯⢦⡟⣗⢉⠾⣥⣼⣿⡭⢥⢭⣥⣤⣖⡓⢽⣲⠯⠍⠽⠛⠋⠍⠌⠹⠶⠂⠀⠀⠠⣒⣗⠿⢛⣭⣽⣿⠬⣋⣿⣽⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⢿⣿⣿⣿⣟⣿⣿⣿⣿⣿ ⢖⣿⡽⣿⣿⡧⢜⠿⣿⢽⡳⠼⣦⣛⣯⢿⡟⡻⡷⣚⣏⢚⣻⣷⠾⣤⣶⢖⡹⢋⢬⠃⠘⣦⣤⠀⠀⢈⢯⣋⠙⣺⣥⣬⣿⣖⣯⣺⣻⣿⡿⣿⡟⣿⣿⣿⣿⣿⣯⣟⣻⣿⣿⣿⣿⣿⣿⣿⣷⡾⣿⣿⣿⣿⣿⣿⣿⣿ ⣧⠿⢿⣹⠮⣹⣿⣍⣥⣾⠓⡬⣏⣽⣯⣶⣱⣶⡔⠭⠻⣟⣿⡫⠀⣘⠖⣥⠪⠁⣄⠙⡛⣷⡆⡮⣿⣿⡍⢱⣯⣿⣿⣟⠫⢏⡊⠂⣻⣿⣿⣾⣿⣿⡿⢿⣿⣽⣾⣿⣿⣯⣟⣿⣽⣿⣿⣾⣯⣟⣿⣿⣿⣿⣿⣿⣿⣿ ⣧⠁⠉⠀⠀⠀⠈⠀⠀⠁⠉⠉⠈⣵⠋⠑⢓⢚⠀⠈⢁⡔⡻⣭⡐⠁⢀⠭⠃⠀⠀⢉⠅⠁⠀⠀⠹⠟⠕⠟⠑⠁⠀⠐⠙⢗⡏⠀⠁⠣⠈⠁⠙⠈⠉⢠⠈⠉⠙⡛⠀⠈⢹⠓⠀⠉⠀⠉⠈⠋⠊⠉⢙⠻⣿⣿⣾⣿ ⣝⣲⣦⠆⠀⣀⣶⡋⠀⠀⡄⠀⠀⣺⣶⢂⠉⡀⠀⢔⡁⠺⠌⣉⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠧⡀⠀⢀⠀⢺⣿⡷⠂⡃⠀⠀⠀⠀⠀⢰⠀⠀⢠⠀⠀⠙⠂⠀⠀⢠⣀⣀⠀⠀⠀⣾⠀⠠⠀⡀⠀⣹⣿⣿⣿ ⣿⣽⣛⠁⠖⣿⣿⣯⡒⡀⡀⠀⠀⢩⠋⠂⠀⠈⠐⡙⡽⡏⣩⡀⠀⠀⠀⠀⠀⠀⠀⢈⠅⠀⠀⠀⠀⠀⠀⠠⢠⣼⠟⠉⠀⠀⠄⠀⠀⠄⠀⠀⢀⠀⠀⠐⠀⠀⢀⠂⠀⢰⣾⣿⠿⠓⠀⠀⠛⠉⠉⠁⠀⠀⣿⣿⣿⣿ ⡽⣿⣟⡇⣂⣀⣷⣿⡿⡃⢒⣠⣾⡑⠀⣀⡐⣤⡄⠈⢚⣿⢟⣷⢀⠀⢀⠄⠀⡀⠀⠀⠀⠀⣠⡀⠀⢀⢺⣷⢄⠀⢀⣂⢠⣾⣇⠀⢀⣀⠀⠀⣠⠀⠀⣈⡀⠀⠸⣥⡘⠋⣙⠂⠀⠀⠀⠀⡀⣶⣄⣀⣀⣴⣿⣿⣿⣿ ⣱⡿⠛⢟⡯⣟⣛⠿⣚⣋⡿⠮⣽⣽⣭⢳⠞⠄⣿⣿⡿⡟⡩⡾⣶⣪⣶⣰⠯⣪⠈⣊⣺⢶⣖⠵⡾⢟⣶⡮⠸⣛⣿⡶⢻⣡⣈⣿⣿⡿⢿⣾⡿⣿⣟⣷⡾⣯⢯⢹⣿⣿⣽⣿⣿⣿⣶⣿⢿⣳⣽⣿⣿⣟⢻⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢛⠻⢯⣿⣿⣿⣿⣿⡿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠈⠀⠻⢽⡿⣿⣻⣿⣷⢒⡪⣽⣾⣿⢧⠬⢿⠾⡙⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣯⣹⣻⢿⣟⣻⣿⣿⣿⣿⣿⡿⣿⢿⣿⣿⣿⣿⣯⣹⡻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⠙⠀⠜⠟⠉⠉⠛⠛⠘⢁⣉⣙⣻⡾⣿⣿⣿⣍⣛⣻⣿⣿⣿⣞⣿⣿⣿⡻⢿⣿⢷⡤⡀⠕⠟⠉⠙⣿⣿⣟⣉⣥⣬⡰⣦⣬⣽⣿⣿⣾⣿⣟⣿⣿⣷⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡉⠉⠈⠙⠛⡓⠒⠔⣶⣿⣣⣉⣉⣙⣛⣯⣽⣯⣼⣿⣿⣿⣷⡶⢶⣶⠶⠿⠿⠿⡭⠥⣬⣤⣩⣊⣁⣈⣙⠉⠛⠛⣛⠿⣿⣿⣿⣿⣿⣿⣿⣽⣝⣻⣿⣿⣿⣿⣿⣿ ⡀⠢⠄⡀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠠⠨⢤⡠⠬⠌⣛⠛⢻⡭⣿⠵⢎⢅⢬⠭⠽⠟⠛⠟⠿⣉⠍⠙⠛⠿⢟⠹⠛⠃⠉⠉⠒⠲⢚⣧⡖⠀⠙⠛⠛⠛⠋⠷⢩⡉⠑⠀⠤⠈⠛⠷⠮⡤⠛⢿⠿⠿⠿⣿⣟⠻⠻⡟⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠤⠀⠀⠈⠀⠐⠀⠀⠀⠍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠁⠀⠁⠐⠀⠀⠀⠀⠀⠀⠀⠈⠈⠈⠁⠐⣀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠄⠀⣽⡀⠀⠀⠀ ⠀⠐⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⢀⣀⢀⠘⠁⠀⢀⣀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠳⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⣀⣄⠠⠄⠀⠄⠀⠀⢔⠲⠠⠀⢀⠀⠀⠄⢤⣤⠄⡂⠊⣃⡍⠩⠀⠠⠛⠋⠩⠥⠽⠇⡀⠈⠁⠁⠚⠛⡛ ⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⠋⠂⠀⠀⠀⠀⠀⠀⠠⠀⠀⠰⠖⠫⠉⠁⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠈⠀⡄⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠉⠘⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠄⠀⠀⠀⢀⣀⠂⠀⠀⠐⠀⠀⠀⠀⠂⠀⠀⠀⠀⡶⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⠻⠧⠀⠀⠀⠀⠀⠀⠈⠀⢤⡀⠄⠀⠀⡀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠀⠀⢀⢀⠀⠀⠀⠀⠰⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⣴⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣷⡄⣠⡀⢢⠀⠀⠀⠹⣱⣟⣽⠛⠂⢴⡄⡁⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠟⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣷⣿⣷⣸⣷⡄⠀⢠⡾⠟⡁⡠⠅⠻⠘⡷⠇⠸⠀⠀⠀⠀⠄⠲⠥⠴⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⣤⣒⣹⡽⣶⢿⣶⣿⣿⡻⣿⢿⣿⡾⣾⣿⣿⠯⢿⣿⣧⣿⣿⣿⣯⢀⣀⡤⢿⣷⡿⠿⡷⡚⢯⡽⠠⠾⢿⠂⠩⣽⣿⣿⠿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣛⣷⣿⣫⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦ ⣿⣿⣷⣷⣿⡯⣺⣽⣯⢽⣶⢿⣿⢿⣟⣛⣯⣟⣣⢦⠼⣮⠳⠶⢺⣷⣽⣿⡯⣽⣁⣤⡀⢠⠛⠀⡀⠄⡠⢎⡕⢠⣋⠿⡿⡿⢾⣿⣟⡓⣿⣟⣺⣯⢿⣿⣿⣏⣭⡾⠛⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡿ ⣶⣿⡽⠞⢵⣾⠷⢅⣋⠙⠶⣽⠿⠿⠿⢗⠊⢻⢻⣸⢜⣸⣿⠿⢿⣿⣿⡿⢃⣽⡌⠁⠺⠾⠿⡓⠁⠉⣤⣬⣀⣼⣿⣿⣷⣻⣻⣿⣭⡿⣟⣿⣿⡿⣿⣿⣿⣻⣿⣿⣿⣛⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣻⣿⢿⣿⡅⢠⠾⢰⣶⣿⣿⣟⣿⣻⢷⣾⣯⣬⣛⠯⠗⠂⠐⠎⣅⣢⠂⠒⢒⠚⡈⠀⣪⣬⡬⣉⡟⠛⢛⣭⣿⣭⡯⢍⣍⣻⣿⣿⣿⣿⣽⡿⣿⣿⡿⣻⣿⢿⣯⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿ ⣓⠋⠊⠀⠀⠉⠀⠀⠈⠁⠒⠋⠈⡅⠂⠁⢕⠉⠀⠁⠠⢯⣬⢾⠇⠈⠀⢬⠍⠀⠀⢠⣴⠅⠀⠀⢈⢉⠵⠶⠁⠀⠀⠀⠘⠭⡅⠉⠀⠹⠘⠈⢸⠀⠀⢘⠀⠉⠙⡿⠐⠉⢸⡖⢉⠉⠉⠈⢨⡍⠘⠉⣙⡿⣿⣿⣿⣿ ⣿⣧⣠⠂⠀⣀⣤⡆⠀⠀⠀⠀⠀⣮⠄⠅⠓⠀⠀⣀⠉⢂⣷⢾⡀⠀⠀⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⢼⣂⠀⢀⢀⢾⣿⡷⠋⠨⠀⠀⠈⠀⠀⠈⠀⠀⢰⠀⠀⠁⠀⠀⠀⣰⣀⣀⠀⠀⠀⣾⠁⢠⠀⠀⢀⣿⣿⣿⣿ ⡽⢋⣛⡁⠖⢿⣿⣯⡖⠀⡂⠀⠀⢯⠗⠀⠀⠠⠐⠙⡠⢝⠖⡜⠀⠀⠀⠀⠀⠀⠀⠠⡀⠀⠀⠀⠀⠸⣗⠠⢠⣾⠟⠉⠀⠄⠤⠀⠈⠀⠀⠀⢸⠀⠀⢸⠀⠀⢀⢀⠀⢱⣿⣿⠿⢓⠀⠀⠻⡀⢁⠀⠀⠀⣿⣿⣿⡿ ⣩⡿⡧⢀⣀⣂⣟⣫⣛⢃⡀⢠⡼⠃⢀⠀⢀⣤⠀⠐⢀⢄⣒⡁⡃⠀⠀⡢⡆⠀⠀⠐⠀⠀⣀⣀⠐⠀⣻⡷⠀⠀⠀⠂⠠⢞⡖⠀⢀⡀⠀⠀⡘⠐⠀⣐⠀⢀⣠⣦⠘⠛⣙⠀⠂⠀⠀⠀⣀⣧⡀⠀⢀⣰⣿⣿⣿⣿ ⢽⣛⠟⣽⡛⢻⣯⡞⢿⡿⣱⡹⣿⣿⣏⣶⣔⠯⣎⢤⣙⡰⠉⡮⡶⠋⡚⣍⢲⠂⣂⣰⡀⢊⣑⠣⠈⠐⢠⡅⠀⠘⢂⢁⣻⢷⣿⡧⡟⣾⣶⣻⣷⣶⣻⡿⣭⣨⣿⣟⢿⣿⣾⣾⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠛⠿⠿⣿⣿⣾⣿⣾⣯⣿⣛⣻⠿⣿⣿⣟⠿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⡗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠉⠻⠛⢿⡫⡛⣷⣯⡿⢿⣽⣧⡵⠽⠿⡷⣼⣽⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠛⠿⣾⣶⢯⣿⣿⣿⡿⣻⢿⣻⣉⢿⢿⣿⣿⣿⣿⣿⣷⣷⣤⣝⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠉⠉⠒⠉⡍⠵⠶⠶⠾⣿⣿⣟⣓⣻⣷⣾⡻⠿⢿⣿⣿⣿⣿⡟⣝⣿⣿⣿⣓⣀⣀⣀⣤⣾⣿⠿⠷⠿⢿⣷⣷⡗⣿⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠘⡲⠦⢤⡤⣤⡤⢽⡧⡙⡾⠛⠿⢷⣿⣾⣶⣾⡿⠻⣿⣿⣿⣿⣿⣿⣽⠿⠿⣏⣉⣋⣿⣟⡟⣿⣿⣿⣿⣵⣿⡴⠤⢭⣉⠩⠿⣿⣿⣿⠿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿ ⠋⠘⡁⠂⠀⠀⠀⠀⠀⠀⠀⠒⠒⡐⠛⠉⡉⠅⠍⡚⠋⠨⣿⠟⢊⠻⠖⠚⠋⠉⠁⠉⢩⢛⠒⠩⠀⠡⠍⡛⢄⠅⠈⠀⠀⠈⠈⠯⣿⡿⡛⠆⠈⠁⠚⠺⡍⠝⠓⠀⠈⠊⠀⠄⠈⠋⠟⠘⠹⣛⢙⣻⡿⣿⡯⠍⠙⠉ ⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠄⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠄⠀⠀⡀⠀⠀⠀⠀⠀⠀⠈⠏⠉⠀⠘⠇⠀⠀⠀⠈⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠸⡧⠀⠀⠀ ⠤⠀⠀⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠠⢄⡀⠀⠀⠀⠂⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⢀⡀⠀⠀⡀⠑⠀⠀⠀⠀⠀⢀⣀⣀⣀⢤⡄⠀⢲⣶⡶⠶⢶⣦⠠⠆⢤⠤⠀⣴⣴ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⡶⣖⠺⢲⣷⣿⣿⣧⠀⠝⠘⠃⣁⣡⣶⠆⣉⠛⠛⠛⠀⠐⠐⠛⠙⠗⠀⠈⠀⠀⠁⡋⠛⠡⠀⠀⠀⠀⠀⠈ ⠈⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣯⢁⣔⠿⣿⣿⣿⣿⠈⠁⠁⠀⠉⠀⠑⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⣺⣧⠠⠀⢩⣴⣶⣦⠁⣀⡰⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣰⡴⣄⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣷⣂⣾⡿⠛⠏⠀⠀⠈⠀⢒⠀⠣⠀⣄⠀⡀⠀⢀⡀⠀⠀⠀⣀⣀⠀⠀⡀⠀⠀⠀⠀⠉⠈⠀⢤⢨⠓ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡄⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⠿⠛⣿⠿⠀⠠⠄⠀⠤⠎⠈⠃⠀⠀⣤⠀⠀⠀⠁⠀⠈⠂⠛⠉⠁⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⡥⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣯⡄⡎⠁⠀⠀⠀⡀⣸⣶⣤⡀⠀⡀⢤⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠈⡋⠁⠀⠀⠂⣄⡀⠀⠀⠐⠁⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣇⠀⠀⠀⠈⢲⣿⡶⠏⡥⢘⣟⣴⣨⠀⡄⠀⠀⠀⠀⢀⣀⢀⣄⡁⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢘⣿⡀⠀⢀⠠⠟⠉⡤⠀⠃⠈⠉⡽⢃⠀⡅⠀⠀⠔⠀⠀⠉⠉⢻⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣾⣿⣧⠀⠉⢰⢲⠃⠀⢺⢀⢠⡄⠁⣼⠉⡋⠀⠂⠀⠀⡰⠛⠈⠘⠀⠀⠀⠀⠀⠀⠀⠐⡁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⣴⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⢾⣿⣿⣆⠀⠀⠀⢠⠀⠁⠀⠫⣿⡅⣵⡀⡏⠁⠀⠀⡆⣩⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠀⠀⢀ ⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⡀⠀⠀⠘⠀⠀⠀⢰⣿⠂⠈⠁⠉⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠈⠀⠀⠀⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣗⣀⢀⠀⡀⠀⠀⣀⣤⡆⠀⠀⠀⠀⢸⣿⣿⣧⠀⠀⠀⠀⠀⠀⠛⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⡏⠁⢨⢷⣿⣿⣿⣿⠀⠀⠀⠀⠛⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡟⠀⠀⢹⣿⣿⣿⣿⡄⠀⢐⣆⠀⠻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣦⣥⣝⡷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⢿⣿⠁⠀⠀⠀⢿⣿⣿⣿⡇⢠⢸⠽⣾⢦⠔⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡀⠀⠀⠠⡈⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⣽⣿⣿⡇⢻⣣⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⢰⣿⠀⠀⡀⠀⣨⣿⣿⣿⡇⠸⣜⠀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠠⠓⠻⠀⠁⠀⠀⠀⠀⠀⠀⠀ ⠉⠙⠋⠃⡩⣀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡤⢄⣤⣤⣀⣤⠆⢀⣐⣾⣿⣤⣄⣅⣤⣴⣿⣿⣿⣿⡀⣀⡀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⣄⠠⠄⠀⠀⠈⠀⠀⠂⠀⣀⣤⣤⣶⣾⣿⣿⣷⣿⣿⣿⣿⣿⣿⣻⠁⠜⠿⢿⣿⣿⣿⡿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣟⣷⣾⣿⣷⣶⣷⣶⣶⣤⣤⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡈⠉⠉⠐⡀⠠⢈⣤⣶⣾⣿⣟⣻⣿⣿⣟⣿⣿⣿⡿⣿⣷⣿⢿⣿⠀⠀⠀⣾⣿⣿⣿⣿⣿⣾⣿⣦⣽⣿⣿⠻⢿⡿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣤⣤⣤⣀⣀⣀⠀⠀⠀⠀⠀⠀ ⠋⠀⠀⣈⣤⡾⣿⣿⣿⣿⣴⣾⣿⣛⣾⣝⡛⣯⣬⡿⡟⣽⣷⣽⣏⡈⣀⡸⢿⡏⠙⠭⡉⣛⣛⣿⣿⣢⢿⣿⣟⢒⠉⣋⣽⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡷⣶⣤⣀⠀ ⢀⠤⣚⣛⣵⢿⣻⣿⣿⣿⣿⣿⣿⣿⣩⣽⣷⣿⣿⣿⣿⣻⣷⣦⣒⣿⣿⢾⣵⣾⣻⣿⣽⣿⣶⡿⠟⣠⣴⡌⠳⠚⢽⣾⣿⣿⣿⣿⣯⣿⢿⣿⣿⣿⣧⣿⣿⣟⣿⠿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣲⣿⣽⢦⡿⣿⠿⢻⣚⣿⣽⣿⣿⣾⣿⣿⡯⢍⠛⣿⣿⠛⣿⣿⣿⠭⡭⠭⢿⠙⠋⠙⠉⣄⠉⠃⠛⠋⠱⢄⠈⠹⣿⡿⣯⣹⣷⣿⣿⡟⣿⣷⣿⣾⣯⣾⣿⠿⢶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢟⡿⢿⣿⢟⠾⣿⢽⡏⣛⣿⣽⣿⣟⣻⣿⣺⢹⣯⠟⢽⣿⣿⡿⠿⠚⠈⢜⡷⢲⡷⠢⣙⡤⣖⠬⢰⢒⡋⠞⠠⢞⣯⡽⡽⣯⣿⣿⣶⣽⣻⣷⣾⣻⣿⣿⣿⣶⣷⡟⣭⣹⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣽⣻⣚⡿⡟⠋⣲⣓⢘⣝⣾⣉⣳⣛⣫⣁⣬⢿⣮⣏⡵⠋⠩⠟⣀⠁⢉⠬⡸⠺⣦⡦⠙⠛⡛⢬⣀⣀⣶⣷⣤⣽⣿⣿⣿⣶⣿⣾⣷⣾⣷⣿⣿⣿⣟⣿⣿⣿⣭⣿⣷⣿⣯⣷⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡃⠊⠀⠀⠈⠀⢘⠂⠁⡓⠀⠈⠱⠉⠑⠡⠄⠀⠁⣀⠁⠀⡑⠒⠀⡈⢀⠉⠈⠁⠈⠑⠕⠂⠀⢠⣯⡋⠁⠑⠊⠀⠀⠒⢰⡌⠀⠀⢻⠈⠁⠸⠈⠁⢨⠀⠉⠘⠛⠉⠈⢹⠒⠈⠉⠉⠉⠘⡟⠚⠉⢝⠿⣿⣯⣻⣿ ⣬⣒⢂⡀⠀⣄⣶⡄⠀⠁⠃⠀⠀⠭⡥⠄⠁⡀⢀⡴⣻⣦⢾⡯⡁⠀⠀⠄⠀⠀⠀⠰⠟⠀⠀⠀⠀⢚⠉⠀⢀⠀⣾⣿⡷⣃⡀⠀⠀⠈⠀⠀⠐⠀⠀⢨⠀⠠⠀⠀⠀⠀⣸⣃⣀⠀⠖⠒⣷⣄⣠⠀⠀⠀⣿⣿⣿⣿ ⣤⣞⣻⠁⠖⢿⣿⣯⡒⡀⡀⠀⠀⠋⠌⠃⠐⠪⠀⠁⠀⣮⢿⣫⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣆⡠⢰⣾⠟⠙⠂⠅⠀⠀⠀⠀⠀⠀⠠⠀⠀⢨⠀⠀⢠⣀⠀⢱⣿⣿⠿⠓⠈⠀⠿⠈⢉⠉⠀⠀⣿⣿⣿⣿ ⣟⣿⣿⡃⣀⣃⣩⣿⣿⡃⢀⣀⣼⡘⠒⢀⢰⢽⠀⠀⠘⣿⣙⠾⡂⠀⠀⢦⠖⠀⢀⡈⠂⠈⠀⠀⠀⠀⣻⣖⡈⠀⠀⠂⠀⣶⣆⡀⢀⣙⠀⠀⣘⡐⣀⣈⠐⠐⣸⣷⡘⠛⣙⣂⠀⠀⠀⡀⠰⣿⣇⡀⢀⣤⣻⣿⣿⣿ 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⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⡶⣖⠺⢲⣶⣿⣿⣧⠀⠙⠘⠊⢁⣩⣶⠇⢋⠙⠛⠛⠀⠑⠐⠚⠉⠗⠀⠈⠀⠤⠀⡉⠛⠑⠀⠀⠀⠀⠀⠉ ⠈⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣯⢁⣔⠿⣿⣿⣿⣿⠈⠁⠁⠈⠉⠀⠑⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⣺⣧⠠⠀⢩⣴⣶⣦⠁⣀⡰⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣤⡠⣄⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣷⣂⣾⡿⠛⠇⠀⠀⠈⠀⢂⠀⠲⠀⡄⠀⡀⠀⢀⡀⠀⠀⠀⣀⣐⠀⠀⠀⠀⠀⠀⠀⠉⠈⠀⢤⢈⠐ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡄⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⠿⠛⣿⠿⠀⠠⠄⠀⠤⠎⠈⠁⠀⠀⣤⠀⠀⠀⠀⠀⠀⠒⠛⠉⡀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⡥⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣯⡄⡎⠁⠀⠀⠀⡀⣸⣶⣬⡀⠀⡀⠤⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠁⡛⠁⠀⠀⠂⣄⡀⠀⠀⠐⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣇⠀⠀⠀⠈⢺⣿⡶⠏⡥⢘⣟⣴⣨⠀⡄⠀⠀⠀⠀⢀⣀⠀⣄⡁⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢘⣿⡀⠀⢀⠠⠿⠉⡔⠐⠃⠈⠉⡽⢃⠀⡅⠀⠀⠔⠀⠀⠉⠉⢽⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣾⣿⣧⠀⠉⢰⠲⠃⠀⢺⢂⢠⡄⠁⣼⠉⡋⠀⠂⠀⠀⡰⠛⠈⢘⠀⠀⠀⠀⠀⠀⠀⠐⡁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⣴⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⢾⣿⣿⣆⠀⠀⠀⢠⠀⠁⠀⠪⣿⡅⣵⡄⡎⠁⠀⠠⡆⣩⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠀⠀⠀ ⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⣿⣿⡀⠀⠀⠘⠀⠀⠀⢠⣟⠂⠈⠁⠉⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠈⠀⠀⠀⢾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣇⣀⣀⠀⡀⠀⢀⣀⣤⡆⠀⠀⠀⠀⢸⣿⣿⣧⠀⠀⠀⠀⠀⠀⠛⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⡏⠁⢨⢷⣿⣿⣿⣿⠀⠀⠀⠀⠛⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡟⠀⠀⢹⣿⣿⣿⣿⡄⠀⠐⣆⠀⠻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣦⡥⣝⡷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⢿⣿⠁⠀⠀⠀⢿⣿⣿⣿⡇⢠⢸⠽⣾⠦⠔⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡀⠀⠀⠀⠈⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⣹⣿⣿⡇⢻⡳⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⢰⣿⠀⠀⡀⠀⣨⣿⣿⣿⡇⠸⣜⠀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠠⡓⠹⢀⠁⠀⠀⠀⠀⠀⠀⠀ ⠉⠙⠋⠃⡩⣀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡤⢄⣤⣤⣀⣤⠆⢀⣐⣾⣿⣤⣄⣅⣤⣤⣿⣿⣿⣿⡀⣀⡀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠂⠀⠀⠀⠀⠀⠈⠐⠀⠄⠀⠀⠀⠀⠀⠀⠀ ⣄⠠⠄⠀⠀⡈⠀⠀⠂⠀⣀⣤⣤⣶⣾⣿⣿⣷⣿⣿⣿⣿⣿⣿⣻⠁⠾⠿⢿⣿⣿⣿⡿⣿⣿⣿⠻⣿⣿⣿⣿⣿⣟⣧⣾⣿⣿⣶⣷⣶⣶⣤⣤⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣈⠋⠉⠐⡀⠠⢈⣤⣶⣾⣿⣟⣻⣿⣿⣿⣿⣿⣿⡿⣿⣷⣿⢿⣿⠀⠀⠀⣾⣿⣿⣿⣿⣿⣾⣿⣧⣽⣿⣿⠻⢿⡿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣤⣤⣤⣀⣀⣀⠀⠀⠀⠀⠀⠀ ⠉⠀⠀⣈⣤⡾⣿⣽⣿⣿⣴⣾⣿⣛⣾⣝⡛⣯⣮⡿⡟⣽⣷⣽⣏⡀⣀⡸⢿⡏⠙⠭⡉⣛⣛⣿⣿⣠⢿⣿⣟⢒⠉⣋⣽⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡷⣶⣤⣀⠀ ⢀⠤⣚⣛⣵⢿⣻⣿⣿⣿⣿⣿⣿⣿⣩⣽⣷⣿⣿⣿⣿⣻⣷⣦⣒⣿⣿⢾⣵⣾⣻⣿⣽⣷⣶⡿⠟⣠⣴⡌⠳⠚⢽⣾⣿⣿⣿⣿⣯⣿⢿⣿⣿⣿⣧⣿⣿⣟⣿⠿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣲⣿⣽⢦⡿⣿⠿⢻⣚⣿⣽⣿⣿⣾⣿⣿⡯⢍⠛⣿⣿⠛⣿⣿⣿⠭⡭⠭⢿⠙⠋⠙⠉⣄⠉⠃⠛⠋⠱⢄⠈⠱⣿⡿⣯⣽⣿⣿⣿⡟⣿⣷⣿⣾⣿⣶⣿⢿⢶⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢟⡿⢿⣿⢟⠾⡿⢽⡋⣛⣿⣽⣿⣿⣻⣿⣺⢹⣯⠟⢭⣿⣿⡿⠿⠚⠈⢜⡷⢲⡗⠢⣙⡤⡖⠬⢰⢒⡉⠾⠠⢞⣯⡭⠽⣯⣿⣿⣲⣽⣿⣷⣾⣻⣿⣿⣿⣶⣷⣛⣥⣹⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣽⣻⣘⡿⡟⠫⣲⣓⢘⣝⣾⣉⣳⣛⣫⣁⣬⢿⢮⣏⡵⠟⠩⠟⣀⠁⢋⠬⡸⠺⣦⡢⠙⢛⠛⢬⣀⡀⣶⣷⣬⣽⣿⣿⣿⣶⣿⣾⣷⣾⣗⣿⣿⣿⣟⣿⣿⣿⣭⣿⣷⣿⣯⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡃⠊⠀⠀⠈⠀⢘⠂⠁⡓⠀⠈⠱⡉⠑⠁⠆⠀⠁⣀⠁⠀⡑⠂⠀⠈⢈⠉⠈⠁⠈⠑⠕⠂⠀⢠⣯⡋⠁⠑⠊⠀⠀⠒⢰⡌⠀⠀⢻⠈⠁⠸⠈⠁⢨⠘⠉⠜⠛⠉⠈⢹⠒⠈⠉⠉⠉⠘⡟⠚⠉⢝⠿⣿⣏⣻⣿ ⣬⣓⢆⡀⠀⣄⣶⡄⠀⠁⠃⠀⠀⠩⡥⠄⠁⠀⢀⡴⣻⣦⢾⣯⡁⠀⠀⠄⠀⠀⠀⠰⠟⠀⠀⠀⠀⢚⠉⠀⢀⠀⣾⣿⡷⢃⡀⠀⠀⠈⠀⠀⠐⠀⠀⢨⠀⠀⠀⠈⠀⠀⣸⣃⣀⠀⠆⠒⣷⣄⣠⠀⠀⠀⣿⣿⣿⣿ ⣤⣞⣻⠁⠖⢿⣿⣯⣒⡀⡀⠀⠀⠋⠌⠃⠐⠪⠀⠁⠀⣮⢿⣫⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣆⡠⢠⣾⠟⠙⠂⠁⠀⠀⠀⠀⠀⠀⠠⠀⠀⢨⠀⠀⢠⣀⠀⢱⣿⣿⠿⠓⠈⠀⠿⠈⢉⠉⠀⠀⣿⣿⣿⣿ ⣿⣿⣿⡃⣀⣃⣩⣿⣿⡃⢀⣠⣼⡈⠒⢀⢰⢽⠀⠀⠘⣿⣙⠺⡂⠀⠀⢦⠖⠀⢀⡈⠂⠈⠀⠀⠀⠀⣻⣖⡈⠀⠀⠂⠀⣶⡆⡀⢀⣙⠀⠀⣘⣐⣂⣈⠐⠒⣸⣷⡘⠛⣙⣂⠀⠀⠀⡀⠰⣿⣇⡀⢀⣤⣻⣿⣿⣿ ⢟⢯⣽⣿⣿⣿⣛⡟⣛⣿⣾⡵⣠⣕⡾⠂⣃⡃⡿⣇⡄⠧⠛⠟⢔⣿⡾⣲⣖⡝⠓⠼⠛⢺⣮⠟⣿⣉⣿⣷⡟⠚⡓⣑⣤⣾⢷⣶⣿⣷⢌⣿⡯⣿⣿⣿⣿⣶⣤⣮⣥⣻⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠈⠩⠉⠛⠛⣿⣿⢿⣿⣮⣭⣍⣭⣛⢾⣻⢿⣿⣻⣿⡿⡿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠙⠛⢋⢽⢟⣳⣶⣾⣛⣳⣯⡩⢄⠓⠿⠶⢷⣿⣿⣿⠍⡿⢿⣿⣿⣻⣿⡿⣿⣿⣿⣻⣿⣿⣯⣁⢉⣿⣿⣷⣿⣿⣿⣿⣿⣛⣊⣴⡨⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠐⠀⠐⠐⠁⠁⠰⠞⠛⠻⠻⢽⡻⣽⡽⣻⣿⣫⡟⡛⡿⢿⢿⣿⣯⣻⣾⣿⣿⣿⣦⣤⣬⣽⣼⣿⣟⣛⣛⣛⣯⣟⡿⡝⠿⠻⠟⠿⠿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠐⠜⢒⣲⣶⣶⡶⣶⢏⢷⡙⠋⣛⣟⣿⣿⣿⣿⣿⢋⠿⢿⢿⣿⡿⢿⢿⠚⠛⢫⠼⢤⣿⣯⣧⢝⠻⢿⣿⠷⢿⣯⣟⡓⢒⢕⣉⠙⠿⣿⣽⣛⣿⣿⣿⣿⣿⣿⣿⡿⡿⠿ ⠋⠃⠉⠑⠀⠀⠀⠀⠀⠀⠀⠀⠍⢭⠉⠉⠉⡩⠀⠪⠉⠂⡞⠟⠃⠙⠉⠉⠋⠈⠁⠁⠀⡬⠉⠑⠂⠠⠒⢩⠹⠂⠀⠀⠀⠀⠈⠈⡩⠿⢝⣡⣛⠀⠈⠁⠁⣹⡈⠉⠀⠀⠀⠀⠀⠀⠉⠁⠈⠩⠄⠠⡝⠽⣾⡍⠀⠀ ⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢾⣷⣞⠉⠀⠀⠀⠈⠁⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠀⠀ ⠂⠄⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠤⣞⣿⣿⢏⠃⠀⢀⣀⣠⡄⠤⢔⡶⡖⢶⠂⠈⡽⠟⢛⣋⣹⣷⡉⠉⠉⠑⠰⠞ ⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣛⠉⠚⠋⠘⠈⢛⣭⢔⠻⠦⠌⠉⠁⠑⢉⣀⠈⠁⠈⠁⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠠ ⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠠⠓⠀⠀⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠄⠤⠺⢱⠖ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢅⢈⠑⠀⠄⠀⠀⠀⠤⠀⠀⢀⢠⣦⣄⣀⠐⠴⠀⠀⠀⠀⠀⠀⠂⠠⠅ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠂⡐⠚⠀⠀⠁⠀⠀⣦⠀⠀⠀⠀⠀⠈⠈⠀⠠⢀⣀⠂⠀⠀⠀⠀⠀⠀⠀⢁⠠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⢠⢤⡿⢳⣦⡄⣠⡀⠆⣟⠠⠀⠀⠀⠀⠀⠀⠀⠀⠨⠂⠀⠀⢸⠐⠢⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⠀⠀⠀⠀⠀⠰⠆⢀⣾⣿⣷⡀⠀⠀⠀⠀⢀⣀⡀⠀⠀⢀⡀⠀⠀⠀⠀⣿⡿⠟⠰⡒⣸⣵⣦⡆⢸⠀⠀⠀⠀⡀⢤⣀⣰⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⣼⣿⣿⣿⣷⡄⠀⠀⠀⠘⢿⠇⠀⠀⣸⠇⠀⠀⠀⠜⢋⠐⠂⡀⠀⠀⢰⠏⣅⣰⡀⠀⠐⠃⠀⠁⣠⡄⣷⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠂ 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⠀⢀⣴⣶⢟⣫⣿⡿⣻⣷⣿⣿⣢⣽⢷⣿⡩⢶⣾⣳⣷⣾⣿⣿⣿⡿⠞⢛⠋⣣⣀⣒⠂⣷⣶⣷⣯⣶⣤⣿⢿⡇⢠⡠⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿ ⠔⣹⣩⠵⣿⣴⣿⣿⡿⣿⣟⣶⣷⣶⢴⡿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣙⢒⣟⣿⣷⣯⣾⠀⠚⠉⣡⣔⢩⢴⡥⡩⢏⣉⢚⣿⣿⢿⣿⡿⣷⣿⣿⣿⣿⢿⣿⣿⡿⢿⣯⣿⢟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣩⣿⣿⣣⣼⣻⣕⢛⣯⣿⣷⣿⣿⣿⣿⣿⢿⠦⣈⣻⡯⡻⡛⣭⢿⡌⠒⠶⠓⢾⢛⠃⠀⠀⠺⠿⠿⠛⠃⣑⠖⣷⠀⢘⣿⣿⣆⣼⣾⡿⣿⢟⣹⣿⡿⠿⣽⣾⣾⣟⡟⡻⣛⣺⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡿⢿⣻⢞⠾⡿⢽⡛⣽⣿⣯⣿⣾⣚⣷⣶⡎⢾⠭⠫⠬⣃⣀⢽⠟⡋⠁⠘⡷⢶⣗⡢⠂⠠⠀⠠⠀⠰⢚⣫⠯⠬⣷⣮⡭⠽⣬⣿⣿⣿⣦⣿⣷⣾⣿⣭⣿⣿⣿⣶⡿⡟⣤⣽⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣻⣙⠉⠁⠁⠀⠀⠈⠉⠀⠋⠁⠈⠁⠁⢀⡍⢋⠀⠀⢠⢗⢽⠻⠀⠀⠀⠀⠝⠂⠁⢐⠘⠛⠂⠁⢁⣀⠠⣴⠖⠀⠈⠓⡻⢻⣇⠉⠀⢕⠀⠀⢨⠀⠉⢸⠐⠉⠙⣿⠈⠉⢱⡍⠁⡀⠈⠉⢸⡿⠛⠉⡝⡽⣿⣿⣿⣿ ⣽⣷⢤⠀⠀⣀⣶⡄⠀⠀⠀⠀⠀⡟⣷⠅⠁⠀⠀⢠⠛⠉⣉⠽⠂⠀⠀⠀⠀⠀⠀⠨⢔⠀⠀⠀⠀⢘⡋⠀⢈⢐⣾⣿⡷⠂⠀⠀⠀⠈⠀⠀⢰⠀⠀⠸⠀⠐⠀⠀⠀⠀⣸⣄⣀⠀⠀⠀⣾⢆⠀⠀⠒⢀⣽⣿⣿⣿ ⠿⢞⣵⠅⠞⣿⣿⣯⡒⡀⡁⠀⠀⣛⡙⠀⡀⠀⠐⠽⡏⣊⣶⣟⠂⠀⠀⡀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠅⡠⢠⣼⢟⠹⠀⠄⡝⠀⠈⠀⠀⠀⠘⠀⠀⢸⠀⠀⢠⣠⠀⢱⣿⣿⠿⠓⢀⣀⢻⡇⠉⠀⠈⠀⣅⣿⣿⣿ ⣥⣿⠦⢀⡀⣂⡿⣏⣟⠃⢐⡀⡰⠓⠂⠀⣴⠽⠗⠀⠈⣭⣺⢓⡁⠀⠀⡢⡤⣀⠂⡈⠀⢀⣠⣄⠀⠀⢨⡰⣄⣐⠐⣂⣠⣴⠛⠂⠀⠀⠀⢀⡘⠀⢀⣸⡐⠒⣸⣧⡘⠛⣹⡀⠀⠀⠀⠀⢸⣷⣂⡂⠀⣴⣿⣟⣶⣿ ⣷⣿⣷⣿⠿⣿⣿⣿⣿⠟⢫⣿⢅⣭⣜⠷⢻⣷⣆⢀⣴⡟⢽⣾⡉⢁⣜⣴⢋⣱⣽⣗⢿⢾⣬⣯⢴⠨⣽⣿⣻⣿⣯⣤⢑⡃⣉⣈⣬⣿⣿⣿⣿⣿⣷⣷⡿⠿⣿⣿⣿⣿⣿⣿⣿⣷⣏⣹⣿⣿⣿⣿⣿⣿⣶⣾⣿⢿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠈⠑⠛⠟⢿⣿⢿⣿⣿⣿⣭⣏⣙⡿⡿⡻⣿⣟⣿⣿⡿⢿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣫⣟⡿⣿⣿⣿⣿⣿⣿⠿⡟⢿⡿⣿⣿⣿⣿⣷⣷⣍⣌⣙⣻⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠁⠹⠟⠚⡻⠟⠳⣶⣾⠿⣶⣯⠃⢸⠛⠷⠷⣾⣿⣿⢋⢭⢛⠿⣿⣿⣿⣿⡻⣿⣿⣿⣯⣿⡿⣧⡤⢈⠙⠿⣽⣿⣿⣿⣿⣏⣠⣄⣖⣼⡞⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠈⠉⠀⠐⠂⠀⠀⠘⠛⠛⠿⢽⣿⢭⠛⣍⣾⣽⡛⣛⡟⣿⣛⣿⣏⣲⣿⣿⣽⡿⠆⠀⠀⠈⠻⠻⠯⡿⣬⣭⣵⣬⣮⣈⣁⢈⣉⣉⡋⠝⠛⣿⣿⣿⢿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠚⢒⢲⣶⣲⠖⣒⣍⣗⠙⠛⢋⠛⣿⠿⡿⢿⣟⠛⡛⡻⠿⣿⠋⠉⠀⠀⠀⠀⠀⠀⠀⢵⣆⡄⠙⠉⠋⠉⠝⠷⠦⠀⠉⠙⠂⠀⠉⠐⠟⠒⠛⠛⠛⠛⢿⢻⢏⠌⠡ ⠚⠋⠋⠘⡒⠀⠀⠀⠀⠀⠀⠀⠐⠒⢦⠈⠉⢉⠅⠀⠋⠁⠀⠟⠙⠃⠐⠁⠉⠉⠈⠀⠀⠀⠢⠅⠉⠀⡀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠐⠔⠀⠀⠀⠀⠵⠄⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠈⠀⠀⠁⠀⠸⡧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢁⡀⠀⠠⣤⣤⣤⣤⣤⣄⠄⠀⡄⢀⢄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠠⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠠⠀⢀⢠⠀⠀⠶⠶⡆⠉⠭⠥⠇⠛⠄⠀⠟⠁⠑⠒⠪⠛⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣦⠀⠀⠀⢰⣒⣀⣴⣞⡄⠀⠀⠐⠉⣌⣥⡶⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡔⠂⢽⣿⣿⣿⠟⡃⢀⠀⠀⣼⣿⣧⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣷⣆⠀⠀⠈⠛⠆⡀⠉⠉⣦⣈⣀⡎⢠⡾⢿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⣿⣿⣿⣆⠀⠀⠀⣠⠃⠀⠀⠀⠀⠏⠃⠀⡁⠈⠀⠀⠂⠀⠀⠀⠐⠀⠀⠠⠒⠞⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡄⠀⢰⣿⠀⠀⡈⠀⠀⠀⣀⣅⠀⠀⠀⠐⠀⢱⠄⠀⠀⠀⠀⠀⠀⠀⠀⠑⠖⠀⠀⠀⠀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠂⠀⣸⠇⠀⠀⠀⠀⡠⣒⣾⣱⠻⠇⢠⣧⢉⠈⠀⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠂⠈⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⠁⠀⠘⠁⠀⠀⠀⠀⠀⠀⣼⠟⢋⢀⡏⠨⠟⢿⡎⠀⠄⠀⠀⣀⠐⠨⠓⠚⢺⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠤⠈⠋⠳⠆⠀⠈⠺⣿⡭⠽⠿⣿⣇⠀⣀⣀⢶⡀⠀⠀⠀⠠⢐⢁⠀⠃⣀⡀⢀⢈⠏⢰⠄⠧⠀⠀⠀⠀⢀⠴⠐⠸⠁⠀⠀⠀⠀⠀⠀⠠⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⡾⣤⣿⠆⠀⣕⣚⣛⣿⣿⡿⠾⣿⣿⣿⠁⠀⠀⠀⠀⠘⠘⠀⠀⠌⠈⠸⣧⠂⣎⠀⡂⠀⠀⠀⡄⢂⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⢸⣿⣿⣿⣿⣿⠿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠈⣿⡇⠋⠂⠱⠀⠀⠀⠁⠚⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠐⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⣼⣿⣿⣿⣿⣏⡘⠿⣿⣻⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠉⠉⠙⢻⣿⣿⣿⡟⢫⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣦⣼⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⢶⣦⠀⠀⠀⠀⠀⠀ ⣤⣀⣤⣬⣽⣻⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡏⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⡈⠙⠚⠿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡵⠨⡯⠑⠀⠀⠀⠀⠀ ⠻⠿⠙⣿⣿⣿⠸⣿⢆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠝⠁⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣷⠘⣻⣶⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠑⠒⠄⠁⠀⠀⠀⠀⠀ ⠀⠒⠊⠉⠛⠙⠉⠁⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⠁⠀⠀⠀⠀⠸⠿⠿⣿⣿⣿⣿⣿⡟⢂⢂⣉⡯⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣄⠠⠀⠀⠀⠁⠀⠐⠀⠀⠀⠀⠀⢀⣀⡠⣄⣄⠔⣦⣤⣔⣆⠶⣶⣿⣿⡤⣖⣀⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⠫⣈⣠⣿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡉⠉⠁⠐⡀⠀⠁⠄⢀⣀⣤⣴⣾⣷⣿⣷⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠙⠛⠙⠛⣿⣿⣿⣿⣷⣿⣶⣶⣶⣤⣄⣀⣀⣀⣀⣀⣠⠠⠨⠀⠉⠀⠀⡀⠀⢰⣠⣤⣄⡀⠀⠀ ⠀⠁⠀⠋⠀⠀⠈⢀⣀⣤⣾⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⡷⡶⢶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣴⣬⣦⣤⣬⣔⣀⠀ ⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⠟⢫⣾⡿⣛⣻⣿⣿⢛⡿⣭⣿⣯⢟⢭⢾⢿⢿⣿⣿⣿⠿⡿⠿⢿⣿⣿⣿⣻⠿⢽⣻⣇⣥⣛⠛⣟⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⣠⣶⠟⣛⣿⣿⣻⣷⣶⣿⣷⣪⣮⢾⣋⠰⣲⣾⣳⣿⣾⠟⠿⡳⡽⠷⢒⣛⢫⣄⣐⣰⣿⣾⣭⢿⣵⣷⣾⣿⣿⣇⣠⠤⢶⣿⣯⣯⣿⣿⣿⣿⣿⣿⣿⣿⣟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡴⣺⣻⣯⡾⣯⣵⣲⣿⣿⣿⢿⣟⣵⣤⣻⣿⣿⣿⣿⣷⣟⣹⣿⣶⣕⣛⡲⢿⣷⣽⡮⢸⣿⣿⡿⠮⢭⠚⡱⢤⡥⠥⠉⣀⡨⣛⣿⡿⣿⣿⢿⣾⣿⣻⣿⣟⢿⣟⣿⠿⠿⣯⣿⣋⠨⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢒⣿⣿⣖⡸⢯⡻⠽⣗⠸⣯⣵⣿⣿⡿⡿⡛⣛⠉⠙⢻⣿⢿⠺⣛⣟⡿⠭⣤⠵⣼⣇⠀⠛⠁⣠⣾⣦⡿⠰⠃⠰⡖⣷⡀⠘⢻⣿⣦⢤⣒⣿⢿⡿⣗⣽⣿⠿⠿⢽⣿⣿⣿⡻⠻⢟⣟⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣗⠊⠀⠉⡈⠀⢐⠋⠁⠎⠋⠈⢤⡀⠀⠜⠭⠎⠁⣀⡗⡔⠚⠁⠀⠀⠖⠃⠀⠈⢠⣤⠀⠀⠙⠙⠉⠀⠀⠀⠀⠀⠁⡐⠭⣭⠉⠁⢉⠈⠉⠉⠀⠀⠘⠀⠀⠙⣻⠘⠉⢸⡒⢀⠀⠀⠀⠨⠯⠛⠉⣝⠿⣿⣿⣿⣿ ⣗⢥⣴⡆⠀⣀⣆⡀⠀⡀⠄⠀⠀⣻⡿⠐⠈⠀⠀⠄⢖⡈⡺⣻⡃⠀⠀⠀⠀⠀⠀⢰⠈⠀⠰⠀⠀⠈⠈⠀⢀⢀⣾⣿⡷⠊⢷⠀⠀⠀⠀⠀⠠⠀⠀⢈⠀⠀⠅⠪⠀⠀⢸⣁⣀⠐⠀⠀⣌⡀⠀⠀⡔⢀⣿⣿⣿⣿ ⢾⣶⠿⠁⠖⢿⣿⣯⡒⡀⡂⠀⢀⣧⣞⠀⠰⠂⠀⠹⢺⣽⠷⢵⠀⠀⠀⡀⠀⠀⠀⢘⠂⠀⠀⠀⠀⠘⠀⠠⢠⣾⠟⠏⠉⢄⡑⠀⠀⠀⠀⠀⢰⠀⠀⢨⠀⠀⢠⢈⠀⢱⣾⣿⠿⢓⠈⡀⠯⡅⠈⠁⠈⠁⣿⣿⣿⣿ ⣽⣻⡶⠀⣀⠀⣿⣿⢻⣃⡐⣠⡔⡉⠀⠂⣠⡠⢀⠀⢉⠅⢀⣂⣁⠀⡀⠠⠀⡀⠀⡀⠀⠀⡀⣀⡀⠀⡑⡶⣄⡀⡀⠂⠀⢺⡋⠀⠀⡌⠀⠐⣸⠀⢀⢸⡀⠀⢸⣵⠚⠛⣙⠀⠀⠀⠀⣀⣠⣧⡅⠀⢀⣴⣿⣿⣻⣿ ⠳⢿⠟⣿⣟⣿⣿⣿⢟⠿⠑⣿⡮⢯⣵⣭⢤⣙⣿⣽⠿⣒⣮⣿⡧⣛⠟⣶⣿⢿⡥⣗⣤⣖⡻⢆⣴⡹⠯⣕⣃⢟⣿⣮⡧⢶⣿⣿⣻⣗⢾⣟⣿⣿⣿⣷⣿⡛⣿⣯⣻⣿⣿⡿⣿⣿⣏⣹⣿⣿⡿⢿⣿⣿⣿⣿⣿⣽ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡀⡀⠻⡛⠟⢿⣿⢿⣿⣿⣯⣭⣛⣛⡿⡿⣻⣿⣟⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣯⣛⡿⢿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣷⣌⣟⣙⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠁⠹⠿⠚⡻⡿⠳⣻⣶⠷⣿⣏⠃⢸⠛⠿⢶⣾⣿⡿⢯⣏⡋⣯⢽⣿⣿⣿⣻⣿⣷⣏⣿⣽⡿⣿⣇⡨⠙⠻⢟⣻⣿⣿⣟⣿⣠⣵⣾⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠉⠉⠀⠀⠂⠁⠐⠚⠟⠛⠿⠽⣿⣿⣿⣟⣶⣹⣛⡛⡿⣿⣛⣿⣿⣿⣾⣷⣿⣿⠏⠀⠂⠈⠻⠿⠮⣿⣭⣭⣬⣤⣼⣬⣛⢟⣉⣉⡉⠝⠛⣿⣿⣿⡿⣿⣿⣿⣿⣦⣽⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠘⢒⣶⡶⣲⡶⣺⣆⣭⣽⢝⣉⣳⣿⢿⡿⢿⣟⠛⡛⡻⠿⣿⠋⠉⠀⠀⠀⠀⠀⠀⠈⣾⣆⡆⠙⠙⠛⠙⢝⡿⠦⡤⠉⠙⠂⠀⡉⠻⠓⠛⠛⠛⠛⢟⠻⢿⢝⠈⠰ ⠚⠛⠋⢙⡲⠄⠀⡀⠀⠀⠀⠀⡐⠀⢆⠉⠈⠋⠅⠪⠋⠉⠊⠟⠙⠁⠀⠋⠋⠅⠁⠀⠀⠀⠒⠍⠈⠈⡀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⢰⠖⢀⠐⠀⠀⠽⠤⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠁⠁⠸⠣⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⡀⠀⠀⢤⣤⣤⣤⣤⡤⠄⠀⣤⣄⢤ ⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠠⠀⠀⠠⠤⣀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠠⠀⢀⣠⡀⠀⠲⠶⡖⠜⠭⠭⠯⢊⠀⠐⠉⠁⠑⠒⠻⠹⠂⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣦⣼⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠁⠠⣦⠀⠀⠀⠀⠀⠀ ⣤⣀⣴⣬⣽⣻⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡏⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⡌⠙⠛⠻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠀⠀⠀⡵⠸⠯⠚⠀⠀⠀⠀⠀ ⡻⠿⠙⣿⣿⣿⠘⣾⢆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠝⠁⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣷⠘⣻⣶⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠉⠂⠀⠡⠀⠀⠀⠀⠀ ⠀⠂⠚⠉⠛⠙⠉⠃⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⠁⠀⠀⠀⠀⠸⡿⠿⣿⣿⣿⣿⣿⡟⣒⠂⣉⡯⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠄⡀⢠⣄⠠⠀⠀⠠⠁⠀⠘⠀⠀⠀⠀⠀⢀⣀⣠⣄⣄⠔⣦⣤⣔⣆⠶⣶⣿⣿⣤⣖⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⠯⣉⣡⣿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠄⠀⠀⡙⠋⠁⠐⡀⠀⠉⠄⢀⣀⣤⣴⣾⣷⣿⣷⣿⣷⣿⣿⣿⣿⢿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠙⠛⠙⠛⣿⣿⣿⣿⣷⣿⣶⣶⣶⣤⣄⣀⣀⣀⣀⣀⣠⠠⠸⠀⠉⠀⠀⡄⢀⢰⣤⣤⣆⡀⠀⠀ ⠄⠋⠀⠋⠀⠀⠈⠀⣀⣤⣾⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣯⣿⣿⣟⣿⣿⣿⣽⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣻⡷⡶⢶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣴⣦⣯⣤⣭⣀⣀⠂ ⠀⠀⠀⠀⠀⣠⣴⢿⣿⣿⠟⢫⣾⡿⣛⣻⣿⣿⡛⡿⣭⣿⣯⢟⢭⢾⢿⣿⣿⣿⣿⠿⡿⠿⣿⣿⣿⣿⣻⠿⢽⣻⣇⣥⣛⠛⣟⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿ ⠀⠀⣠⣶⠟⣛⣿⣿⣻⣷⣶⣿⣷⣪⣮⢾⣛⠰⣲⣿⣳⣿⣾⠟⠿⡳⡽⠷⢒⣛⢫⣄⣑⣰⣿⣾⣭⢿⣵⣷⣾⣿⣿⣇⣠⠤⠶⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡴⣺⣻⣯⡾⣯⣽⣲⣿⣿⣿⢿⣟⣵⣦⣻⢿⣿⣿⣿⣿⣟⣹⣿⣶⣕⣛⣳⣿⢷⣿⡮⢹⣿⣿⡿⠮⢭⠚⡱⢤⡥⠭⠉⣀⡨⣛⣿⡿⣿⣿⣿⣾⣿⣻⣿⣟⢿⣟⣿⠿⠿⢿⣿⣋⡨⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢒⣿⣿⣖⡸⢯⡻⠽⣗⢺⣿⣥⣿⣽⡿⡿⡛⠛⡉⠙⢻⣿⢿⠸⣛⣟⡯⠭⢬⠵⢼⣇⠀⠛⠁⣠⣾⣦⡿⡳⠃⣱⡶⣧⡀⠘⢿⣿⣦⢤⣒⣿⢿⡿⣗⣿⣿⠿⠿⢽⣿⣿⣿⡻⠻⢿⣛⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣗⠊⠈⠉⡈⠀⢐⠋⠁⠎⠋⠈⢤⡀⠀⠜⠤⠞⠁⣀⡗⡰⢟⠉⠀⡀⠖⠃⠀⠈⢠⣤⠀⠈⠙⠙⠉⠀⠀⠀⠂⠀⠁⡐⠬⣭⠉⠁⢉⠈⠉⠉⠀⠀⠘⠀⠀⠙⣻⠘⠉⢸⡒⠀⠀⠀⠀⠨⠯⠛⠉⣝⠿⣿⣿⣿⣿ ⣗⣥⣴⡆⠀⣀⣆⡀⠀⠀⠀⠀⠀⣻⡿⠐⠁⠀⠀⢔⢖⣠⡰⣻⠃⠀⠀⠀⠀⠀⠀⢰⠈⠀⠰⠀⠀⠈⠈⠀⢀⢀⣾⣿⡷⠊⢳⠀⠀⠀⠀⠀⠠⠀⠀⢈⠀⠀⠅⠪⠀⠀⣸⣁⣀⠐⠄⠀⣬⡀⠠⠀⡐⢀⣿⣿⣿⣿ ⢾⣶⠿⠁⠖⢿⣿⣯⡒⡀⡂⠀⢀⣧⣞⠀⠰⠂⠀⠹⢺⣿⠧⢵⠀⠀⠀⡀⠀⠀⠀⢘⠂⠀⠀⠀⠀⠘⠀⠠⢠⣾⠟⠏⠉⢄⡑⠀⠀⠀⠀⠀⢰⠀⠀⢨⠀⠀⢠⢈⠀⢱⣟⣿⠿⢓⠈⡀⠿⡅⠈⠁⠈⠁⣿⣿⣿⣿ ⣽⣻⡾⠀⣀⠀⣿⣿⢻⣃⡐⣠⡔⡉⠀⠂⣰⡦⣀⠀⢉⠥⢐⣂⣁⠀⡀⠠⠀⡀⠀⡀⠀⠀⡀⣀⡀⠀⡹⡶⣄⡀⡀⠂⠀⢺⡋⠀⠀⡬⠀⠀⣸⠀⢀⣸⡀⠀⢸⣴⠚⠛⣙⠀⠀⠀⠀⣀⣠⣷⡅⠀⢀⣴⣿⣿⣻⣿ ⠻⢿⠟⢿⣟⣿⣯⣿⢟⠿⠑⣷⡮⢏⣡⣯⢤⣙⣿⣿⠿⣓⣶⣿⡯⣛⢟⣶⣿⢾⡥⣗⣤⡖⡻⢆⣼⡹⠮⣕⣃⢿⣿⣦⡧⢶⣿⣿⣻⣗⢿⣟⣿⣿⣿⣷⣿⡛⣿⣯⣻⣿⣿⡿⣿⣷⣎⣹⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠉⠛⣽⡿⣿⢿⣿⣿⣿⣿⣿⣿⡿⠿⠿⢿⣿⢿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣝⣻⡿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣟⣿⣿⣿⣿⣿⣶⣷⣤⣬⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠀⠁⠉⠙⠯⡿⣿⣿⡿⣿⡛⣓⣾⣿⣟⣟⡿⢿⣟⣺⣿⣿⣿⣿⣿⢿⣻⣿⣿⣿⣿⣟⢿⣿⣿⣿⣿⣿⣿⣥⡐⠉⠛⠿⢿⣿⣿⣿⣽⣿⣿⣷⣦⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣻⣿ ⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠁⠈⠈⠃⠘⢛⢛⠒⠽⠃⠁⢨⢵⠾⠿⣿⣿⣿⣞⣓⣿⣟⣽⠟⢯⠿⣾⣿⣿⣟⣶⣿⣶⣿⣿⣶⡶⠶⠙⢿⠿⠿⣿⡿⢻⣷⣬⣾⣻⣭⣦⢭⣉⣙⠛⠻⣿⣿⣟⡿⣿⣿⣿⣿⣷⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠥⠤⣤⡤⣤⡄⢽⣭⡝⠿⣙⠻⣿⣿⣿⣿⣿⠟⢛⠻⡿⢿⣿⡿⠿⠋⠀⠀⠀⠀⠀⣰⡆⠘⢫⠉⠉⠙⢿⡿⠟⠶⣀⠉⠑⠂⢀⠈⠛⠙⠋⠛⠋⡉⠉⡛⣻⣟ ⢀⠀⡤⢤⡤⢄⣀⠀⠀⠀⠀⠀⠀⠀⠠⠤⢄⠐⠖⠐⣛⠙⣺⠏⠝⢿⠛⠃⠙⠓⠋⠉⠉⠁⠀⠐⡭⠉⠒⠀⠐⠒⠀⠈⠀⠀⠀⠀⠀⢀⣴⡟⠁⠀⠀⠠⠁⠀⠀⠁⠷⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸ ⠀⠁⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠠⠀⠁⠘⠀⠀⠀⠐⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠠⠀⠸⠻⠱⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠄⢶⣶⣶⠶⣲⣖⠂⠠⠢ ⠈⠑⠀⠀⠀⠂⠀⠀⠀⠂⠀⠀⠀⠀⠀⠈⠀⢀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠀⠠⠶⠶⠎⠝⠂⠲⠃⠻⠀⠈⠋⠀⠈⠋⠉⠑⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠀⠀⠀⠈⠀⠀⠀⠁⠀⠈⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠀⠀⠀⠀⠀⣠⣿⡆⠰⠖⠘⣩⡾⠈⠀⠀⠀⠐⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⡅⠀⠀⠀⠀⢀⣴⠿⠟⢃⠀⠀⣼⣿⣡⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⣸⣿⡿⠛⠋⠀⢀⣰⢀⠀⣈⠀⠄⠌⠀⣰⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡂⠀⠀⠀⠀⠀⠀⠉⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠁⠀⠀⠀⠀⢰⡿⠿⠯⣀⣀⣤⣲⠏⢸⠆⣣⠤⢴⣶⡇⠙⠛⠍⠀⠀⠀⠀⠀⠈⠀⠀⠀⡀⠲⠓⠒⠀⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⠀⠀⢀⣶⠋⢀⡿⠀⠁⠀⠀⢃⡀⠀⠀⠀⠐⠀⢻⡆⠀⠀⠀⠀⠀⠀⠁⠀⠃⠖⠀⠀⠀⠂⠄⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠓⠀⢀⣠⣾⡿⠁⢀⡾⠋⠀⠀⠠⣂⣾⣡⠺⠃⠠⣧⢉⠘⠠⡀⠀⠀⠀⠀⠀⢀⠀⢀⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠄⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠜⢉⣠⣶⡿⠟⠋⠀⠀⠋⠀⠀⠀⠀⠀⣸⠿⢋⢁⡯⠸⠗⢻⢾⠀⠆⠀⠀⣠⠀⠀⠛⠚⢹⡗⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⢀⣰⣄⠀⠀⠀⠀⠒⠟⠛⠉⠁⠀⣀⣴⣶⣦⠀⠀⠀⠀⡠⠐⣉⡀⠋⢠⡀⢀⡀⠛⢸⡆⢷⠀⠀⠀⠀⢀⠴⠟⠒⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⡀⠀⠸⠷⠿⡃⣠⣤⣀⡀⠀⢀⣴⣶⣾⣿⣿⣿⡇⠀⠀⠀⠀⠀⠘⠋⠀⠀⠜⠁⠹⣧⡆⣪⡀⣂⠄⠀⠀⣤⠘⡐⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⣿⠿⠋⠀⠀⠀⠀⠻⣿⠿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⢹⠈⢀⠀⠈⣻⡇⠫⠇⠙⠀⠀⠀⠈⠘⠁⠀⠀⠀⠀⠀⠀⠀⠶⠀⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⡉⠀⠀⣀⣀⠀⠀⠈⢻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣾⡇⠀⢠⣿⣿⣿⣷⣦⣬⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠒⣿⡆⠀⠀⠀ ⠀⠀⠀⡠⢀⣀⣒⠶⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⡿⠿⠿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠈⡀⠀⠀⣀⠦⠿⠄⠁⠀⠀ ⢀⣘⠿⣿⣟⣿⣯⣿⡏⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡈⢻⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⠀⠈⠄⠀⠀ ⠂⠂⠈⠁⢁⠚⠻⠟⠗⠺⠁⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡖⢲⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠀⣀⠀⠈⡙⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠿⡿⣿⣿⣿⣿⣿⢿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢬⠁⠙⠳⠒⠀⠄⠀⠀⢂⠀⠀⠀⠀⢀⡀⣀⣤⣠⣢⡲⣤⣤⣰⢖⠶⡶⣤⣶⣶⣖⣢⣄⣤⣴⣄⣤⣼⣿⣿⣿⣿⣿⣿⡿⢷⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠄⢇⠀⠁⠀⠠⠀⡄⣦⢤⣴⡦ ⠀⠀⠀⠀⠆⠘⠀⠀⠀⠉⠀⠀⠀⢀⣨⣭⣶⣿⡾⣯⣾⣿⣾⣿⣿⣿⡿⣿⣿⣿⣿⣿⣾⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠈⢉⢿⣿⣿⣿⣿⣿⣶⣶⣶⣤⣤⣀⣀⣀⣠⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠐ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣽⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣤⣴⣶⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣦⣶⣤⣤⣤⣤ ⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣟⣭⣿⡿⢿⣽⡿⢿⣿⣟⣳⣿⣻⢿⣫⣽⣿⣿⣿⣿⣿⣿⡿⢿⣮⣿⣿⣿⣿⣿⣿⣿⢿⠂⠉⠿⠿⣷⣷⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢀⣴⣶⣿⣿⣿⣿⣿⣄⣾⣿⣗⣫⣯⣛⣫⣍⠤⣿⡽⢭⣾⣶⣷⡚⣖⣸⣿⣟⠿⠁⠡⢅⣱⣿⣯⣟⣻⢿⣿⣿⣿⣿⠉⡁⢀⣤⣾⣟⡿⣹⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣴⣾⠟⣱⠞⣟⣛⣺⣿⣿⣿⣷⡞⡋⣹⣷⣬⣽⣿⣷⣽⡿⣯⣌⣀⣽⣧⣩⣔⣤⣔⡷⢖⣾⣿⣿⣿⡬⣯⠿⣛⠛⠗⠿⡶⢛⢱⣽⣿⣿⣿⣿⣿⣝⣾⣿⣿⣿⣿⣿⣷⣿⣿⣿⡛⣿⡿⠻⢿⣿⣿⣿⣿⣿⣿⣿ ⢜⡁⠀⠀⠁⠉⠀⠀⠊⠁⠉⠋⠈⣓⡉⢐⠚⢋⠌⠉⢠⣿⣷⣶⡗⠋⠀⠶⠄⠀⠉⠸⢿⡎⠈⢙⡹⠟⠋⠉⠀⠀⠁⠁⠉⢉⠀⠂⠀⠐⠘⠉⠘⠈⠀⠸⠘⠁⠉⣗⠀⠈⠸⠙⠁⠉⠉⠉⢀⡎⠘⠉⡉⡹⡿⣿⣿⣿ ⣏⣵⣴⡆⠀⣀⣦⡘⠀⠀⡀⠀⠀⣿⢮⠀⠁⠀⠀⠀⣀⣈⣟⠻⠀⠀⠈⠀⠀⠀⠀⢐⠾⠀⠀⠀⠀⣴⣿⢁⢂⠀⢾⣿⡿⠊⡃⠀⠀⠀⠀⠀⢐⠀⠀⢈⠀⠀⠄⡈⠀⠀⣈⣀⣀⠀⠀⠀⠀⢀⠀⠀⠐⢀⣽⣿⣿⣿ ⣿⢾⣿⡆⠖⢿⣿⣯⣒⠠⡁⠀⢀⣰⠒⠀⠀⠂⠔⠻⣦⣋⣻⣁⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠈⠉⠠⢠⣼⠟⠙⠃⠀⠄⠀⠐⢀⠀⠀⠠⠀⠀⢈⠀⠀⢠⣈⠀⢱⣾⣿⠿⠛⠉⣀⠻⠙⠀⠀⠀⠀⠛⣟⣿⣿ ⣶⣫⣴⡓⣀⢀⣨⡍⢛⢃⣐⡠⠾⠛⠂⠀⠐⠀⠀⠀⠈⡜⣢⢔⠑⠀⣀⠤⡄⠀⠀⣀⣀⠐⠀⡀⠐⠒⠐⢄⠀⠀⠀⢂⣡⣤⡂⠐⢀⣾⡐⢀⣀⠀⣀⣠⢀⡀⠸⣗⡘⠛⣩⠒⠀⠀⠀⣂⣀⣿⣆⣀⢀⣤⣖⣾⣿⣿ ⣶⣿⡿⠿⠛⣻⢯⡗⡻⣿⣿⣦⣤⣶⡵⣜⣤⠾⠏⠞⣿⠜⣭⣿⡎⡦⣵⢷⣬⢡⡁⡮⡅⣹⠷⡋⢈⢤⠄⣈⠟⡒⣦⣼⣿⣿⣛⣛⣛⣓⡝⡝⢛⢽⣏⢿⣿⣿⣷⣯⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣥⣹⠿⢿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢿⣿⣿⣿⢿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣯⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⢻⣿⣿⣿⡟⣿⣿⣿⣿⣿⢟⢿⣿⣿⣿⣿⣿⣶⣥⣬⣽⣿⣿⣻⣿⣿⣿⣿⣿ ⠉⡉⠩⠀⡈⠈⠉⠙⠛⠻⣿⣿⣿⣿⣷⣶⣥⠭⢿⡯⠽⡿⢾⣿⣿⢿⣿⡿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣍⡩⣻⠿⣿⣿⣿⣿⣟⣟⣻⣿⣿⡿⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿ ⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠛⠓⠩⠹⠟⠓⠿⠿⠩⢍⠳⠋⢐⣡⣥⣿⣿⣿⣿⡭⠷⣿⣿⣿⠿⣿⣿⣷⣿⣿⡻⣿⣿⣾⣿⣷⣤⣵⣾⣾⣿⠟⡕⠐⠠⠈⣿⣭⣚⣉⡁⣁⣈⣉⣙⠛⠻⣿⣿⣟⡻⡿⣿⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡀⣉⣀⣁⣈⡉⣻⢻⠿⣫⠿⣿⢿⣷⣶⣶⣾⡿⠿⢿⣿⡿⣿⢿⣿⣿⠟⢛⣢⣾⠛⣲⢶⣿⡿⠛⠙⠙⠾⡿⠷⠦⠀⠛⠙⠂⠄⠈⠉⠉⠚⠉⠹⠋⠉⡛ ⠀⠀⠀⠀⠀⠀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⡀⠥⠦⡰⠼⢗⠋⣥⢾⠟⣳⢴⠔⠒⠊⠋⠉⠩⣉⠐⠪⠈⠁⢬⠍⠳⠀⠀⠀⣾⣿⣿⣿⣿⣿⡞⠋⠀⠀⠀⠀⠁⠴⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀ ⠀⠀⠐⠀⠁⠉⠉⠉⠁⠀⠀⠀⠀⠀⠈⠀⠀⠂⠓⠀⠀⠀⠀⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⢀⣼⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣀⡀⠀⠀⢴⣶⣶⠶⣶⣆⠠ ⠂⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⠁⠀⠠⠴⠃⢀⠀⠠⠴⣶⠒⠨⠭⠥⠉⠙⠁⠀⠒⠀⠀⠉⠋⠉⠂ ⠀⠀⠀⠀⠀⠐⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⠀⠀⠀⠁⠀⠉⠁⠀⠐⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⡄⠀⠲⠴⠘⠉⠉⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢀⣾⣿⣿⣟⣿⢿⣿⣿⢠⠇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⣼⣿⡿⣟⣯⣽⣿⡿⠃⠀⠠⠞⠀⡂⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠌⠀⠀⠀⠀⠀⢠⣿⠿⡾⢛⣿⣿⡿⠁⣼⠀⠀⠀⢀⡁⠀⠀⠀⠃⠀⠀⠀⠐⠂⠀⠀⠄⠀⠓⠃⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡟⢡⣶⣿⣿⡿⢁⣴⠃⠀⠀⠈⡉⠁⠀⠀⠐⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠃⠶⠒⠁⠀⠀⢠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣯⣴⣿⣿⠿⠋⠀⠔⠋⠀⠠⣆⣾⣛⠺⠆⠠⣇⢉⠨⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⡀⢠⣄⠀⠀⠀⠀⠰⠿⢿⠿⠛⠁⢀⣴⣿⠀⠀⠀⠀⢹⡿⠟⠁⡟⠺⠿⢿⣾⠀⠇⠀⠀⢀⠀⠀⠜⠑⢒⡷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢽⡿⠇⠀⢀⣠⣀⡀⠀⠀⣠⣶⣿⣿⣿⠃⠀⢠⠀⡋⡀⠛⢠⡀⢀⠀⡟⠰⡦⢦⠀⡀⠀⠀⠀⡰⠖⠂⠆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠠⡀⢠⡀⠀⠀⢀⣼⣿⡿⠋⠀⠀⠘⣿⣿⣿⣿⡟⠀⠀⠀⠰⠎⠁⠀⡼⠆⠱⣇⡆⡿⡀⠆⠄⠀⠀⣠⠘⠐⠀⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠀⠁⠀⠀⡀⠉⠀⠈⢽⣿⡵⣾⠀⠀⠀⠀⠀⠈⢿⣿⡿⠁⠀⠀⠀⠀⠀⢰⠘⢀⠀⠔⢻⡇⠋⠧⠹⠆⠀⠀⠉⠐⠀⠀⠀⠀⠀⠀⠀⠀⢰ ⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠿⣋⣾⠃⠀⠀⣴⣶⡄⠀⠸⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⢠⡏⠃⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡏⠀⠀⣸⣿⣿⣿⣦⣴⣿⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣟⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠄⣾⣆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠤⣥⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⣿⢿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠂⠀⠀⠀⣢⢸⠁⠓ ⠀⠀⠀⠀⢶⣿⡾⣿⣿⣷⡏⣇⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⣻⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠠⠈⡄ ⠀⠀⠀⠩⠑⠋⠉⠸⢿⣿⡗⠼⠛⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣭⣭⣽⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠰⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⢀⠀⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠂⠘⢇⡭⠄⠀⠀⠀⠄⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢴⠀⠑⠀⢀⠀⣄⢤⣤ ⠀⠀⠀⠀⠀⠀⡄⠀⡠⠀⠀⠖⠀⠀⠀⠀⠐⠖⠀⠀⢀⣠⣄⣄⢀⢄⣄⠢⡤⢤⣶⣦⣤⣤⣤⠤⢀⢀⣀⣀⣀⣀⢴⣾⣿⣿⣿⣿⣿⣿⠟⠛⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠂⠀⠀⠁⠀⠀⠀⠉⠀⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣮⣷⣯⣽⣿⣵⡾⣿⣷⣿⣿⣷⣾⣿⣿⣩⡮⣟⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠶⢾⣷⣶⣶⣦⣤⣦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣷⣿⣿⣟⡿⢿⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣚⣿⣾⣿⣿⣿⣿⣿⣿⣿⠛⢁⢂⣪⢿⣿⠿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣦⣤⣤⣤⣄⣀⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⡿⠿⣿⣿⣿⢯⣿⣿⣿⣿⣟⣻⣶⣿⣟⢯⣻⣷⣷⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⡻⢿⣿⣿⣻⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⢀⣀⣴⢷⣾⣟⣯⠟⢋⣿⣿⢿⣩⣿⣿⣯⣙⡛⣗⣮⣿⣿⠛⢶⢿⢗⡻⣻⣿⣿⡿⠿⠝⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣕⢤⣘⠓⠛⠛⢻⣾⢿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠉⠈⠀⠀⠊⠁⠋⠈⠈⢷⠒⢀⡫⠪⠌⠀⢠⣚⡟⡞⠒⠈⠁⠿⠇⠁⠀⠰⠿⠙⠁⠀⠐⢠⣿⣿⠕⠀⠀⠉⠙⢿⣿⠋⠁⢀⠀⠀⠠⠈⠉⢈⠘⢙⣽⣿⠛⠙⢹⠒⢉⠉⠉⠉⠘⠏⠊⠈⣝⡿⣿⣿⣿⣿ ⣀⡤⠢⠀⠀⣀⣂⡀⠀⠀⠀⠀⠀⣺⣧⡀⠀⠀⢀⣰⣾⣻⣿⡾⠁⠀⠀⠀⠀⠀⠀⢰⣓⠀⠀⠀⢀⢿⣿⠀⢀⠀⢾⣿⡿⡃⠂⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢠⠉⣠⠀⠀⣸⣆⣀⠐⠀⠐⣾⣄⠀⠀⡄⠀⠿⣿⣿⣿ ⣁⣰⣲⡇⠖⢿⣿⣿⡒⠀⡀⠀⠀⣻⠋⠑⡀⠢⠐⠻⠿⢿⣿⢟⠂⠀⠀⠀⠀⠀⠀⠨⠁⠀⠀⠀⢁⡸⣿⠠⢠⣼⢟⠩⠁⠄⠀⠀⠀⠀⠀⠀⢈⠀⠀⠸⠀⠀⢰⣈⠀⢱⣿⣿⠿⠓⠈⠁⠋⠙⠉⠁⠀⠀⣙⣟⣛⣯ ⣡⣏⣶⡒⣀⣁⡷⠙⠛⣃⣐⣠⣾⠊⠀⠀⠠⠁⠀⠀⢀⣀⣩⡻⠃⠀⢀⣤⡄⠀⠀⠀⠐⠀⢀⠀⠀⠃⠀⣠⣾⣀⣀⢂⠀⢀⡐⠀⢀⡀⠀⠀⣨⡐⠂⣠⢀⠐⡸⡷⠘⢋⣙⠀⠀⠀⠀⠀⣰⣿⡇⠀⠀⠰⣭⣍⢻⣭ ⣿⣿⣯⣟⢿⢿⣿⣿⣛⣿⠻⣿⣥⣒⣶⣤⠤⣶⢤⢾⢟⣵⣛⡍⣏⢿⠁⢉⣺⣟⠖⠗⠉⠖⠅⢄⡀⡀⠈⠛⠿⠟⠃⠀⠈⢑⣾⢔⣾⡥⣦⢭⡝⠋⡻⣟⠽⣛⡿⣿⠦⡄⣽⣧⣼⣿⣿⣻⣿⣿⣿⣷⡤⣿⡏⢃⣀⣹ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢿⣿⣿⣻⢿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣷⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢻⣿⣿⣿⡟⣿⣿⣿⣿⣿⣟⢿⣿⣿⣿⣿⣿⣶⣤⣬⣴⣟⣿⣻⣿⣿⣿⣿⣿ ⠉⡉⠉⠀⠈⠀⠉⠙⠛⠻⣿⣿⣿⣿⣷⣶⣥⠬⣽⡭⠽⡷⢾⣿⣿⢿⣿⡿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣬⢻⠿⠿⣿⣿⣿⣟⣟⣻⣿⣿⡿⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿ ⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠓⠩⠹⠿⠑⠾⠟⠩⢍⠳⠋⢔⣁⣭⣯⣿⣿⣿⡥⠷⣷⣾⡿⠿⣿⣿⣿⣷⣾⡻⣽⣿⣾⣯⣷⣥⣽⣴⣿⣿⠟⡕⠐⠠⠉⣿⣭⣚⣉⡁⣁⣈⣈⣙⠝⠹⢿⣿⣟⡻⡿⣿⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣉⣀⣀⣈⣉⣻⠛⠷⣿⠯⣿⢗⣶⣾⣶⣿⡿⠿⢿⡿⡿⣿⢿⣿⣿⠟⠛⣢⣾⠛⣲⢶⣾⡿⠋⠙⠛⠿⡿⣷⠦⡈⠘⠑⠒⠄⠈⠑⠃⠚⠉⠉⠋⠉⢹ ⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠉⠥⠦⣰⠿⢗⡋⣵⢾⠟⣳⢴⠕⠒⠊⠋⠉⠩⣏⠒⠪⠀⠁⠤⠍⠐⠀⠀⠀⣾⣿⣿⣿⣿⣿⡞⠃⠠⡀⠀⠀⠀⠴⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁ ⠀⠒⠐⠈⠁⠉⠁⠉⠍⠂⠠⠀⠀⠀⠈⠀⠀⠂⠓⠀⠀⠐⠠⠀⠀⡀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⢀⣼⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣀⣀⠀⠀⣴⣶⣶⠶⣶⣔⠀ ⠂⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⠁⠀⠰⠰⠃⢀⠀⠤⢴⢶⠒⠉⠭⠽⠌⠱⠇⠀⠛⠀⠀⠙⠛⠉⠀ ⠀⠀⠀⠀⠀⠐⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⠉⠁⠀⠐⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⢿⡄⠀⠢⠴⠘⠉⠉⠀⠀⠀⠀⠐⠐⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢀⣾⣿⣿⣛⣿⢿⣿⣿⢠⠇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⣼⣿⡿⣟⣭⣽⣿⡿⠃⠀⠤⠞⠀⡀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠌⠀⠀⠀⠀⠀⢠⣿⠯⡾⢛⣽⣿⡿⠁⣼⠀⠀⠀⢀⡡⠠⠀⠀⠃⠀⠂⠀⠐⠂⠀⠀⠄⠀⠓⠂⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⢡⣴⣿⣿⡿⢁⣴⠃⠀⠀⢈⡉⠁⠀⠀⠐⠀⣻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠓⠶⠊⠁⠀⠠⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣯⣶⣿⣿⡿⠋⠀⠔⠋⠀⠠⣆⣾⣛⠺⠖⢠⣇⢉⠪⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⡀⢠⣄⠀⠀⠀⠀⠰⠿⢿⠿⠛⠁⢀⣴⣿⠀⠀⠀⠀⢹⡿⠟⠁⡟⠺⠿⢿⣾⠀⠆⠀⠀⢀⠀⠀⠈⠒⠓⡷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢽⡿⠇⠀⢀⣠⣀⡀⠀⠀⣠⣶⣿⣿⣿⠇⠀⢀⠀⡋⡀⠛⢨⡀⠀⠀⡟⠰⡦⢦⠀⡀⠀⠀⠀⡰⠖⠂⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠠⡀⢐⡂⠀⠀⣀⣼⣿⡿⠋⠀⠀⠘⣿⣿⣿⣿⡟⠀⠀⠀⠰⠎⠁⠀⡼⠄⠹⣏⡆⡿⡀⠖⠄⠀⠀⣠⠘⠐⠀⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠀⠁⠀⠀⡀⠉⠀⠈⢽⣿⡵⣾⠀⠀⠀⠀⠀⠈⢿⣿⠿⠁⠀⠀⠀⠀⠀⢰⠐⢀⠀⠜⣿⡇⢋⠧⠹⠄⠀⠀⠉⠐⠀⠀⠀⠀⠀⠀⠀⠀⢰ ⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠿⢋⣾⠃⠀⠀⣴⣶⡄⠀⠸⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢠⡟⠃⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡏⠀⠀⣸⣿⣿⣿⣦⣴⣿⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣟⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠄⣾⣆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠤⣥⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⣿⢿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠂⠀⠀⠀⣦⢸⠁⠗ ⡀⠀⠀⠀⣶⣿⡾⣿⣿⣷⡏⣇⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⣻⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠠⠀⠄ ⠀⠀⠀⠩⠑⠋⠉⠸⢿⣿⡗⠼⠚⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣭⣭⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠰⠈⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠢⠘⠇⡭⠄⠀⠀⠀⠄⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣼⠀⠑⠂⠀⠀⣄⢤⣠ ⠀⠀⠀⠀⠀⡀⡄⠠⠠⠀⠀⠒⠀⠀⠀⠀⠐⠖⠀⠀⢀⣠⣄⣄⢀⢄⣄⠢⡤⢤⣴⣦⣤⣤⣤⠤⢄⢀⣀⣀⣀⣀⢴⣾⣿⣿⣿⣿⣿⣿⡟⠛⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠂⠀⠀⠀⠀⠀⠀⠉⠁⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣮⣷⣯⣽⣷⣵⡾⣿⣷⣿⣿⣷⣾⣾⣿⣩⣮⣟⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠶⢾⣷⣶⣶⣦⣤⣦⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣷⣿⣿⣟⡿⢿⣿⣿⣿⣭⣿⣿⣿⣷⣿⣿⣿⣿⣿⣚⣿⣾⣿⣿⣿⣿⣿⣿⣿⠛⢁⢂⣪⢿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣦⣤⣤⣤⣄⣀⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⡿⠿⣿⣿⣿⢯⣿⣿⣿⣿⣟⣻⣶⣿⢟⢿⣛⣷⣵⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡻⢿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⢀⣀⣴⣷⣾⣿⣯⠟⢛⣿⣿⢿⣩⣿⣿⣯⣙⡛⣗⣮⣯⣿⠛⢶⢿⢗⡻⣻⣿⣿⣿⠿⠝⠿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣕⢤⣘⠓⠛⠛⢻⣾⢿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠉⠀⠀⠀⠊⠁⠋⠂⠈⢷⠒⢐⣫⠪⠌⠀⢠⣚⡟⡎⠒⠈⠁⠾⠇⠁⠀⠰⠿⠙⠁⠀⠐⢠⣿⣿⠕⠂⠀⠉⠙⢿⣿⠋⠁⢀⠀⠀⠨⠈⠉⢈⠘⢙⣿⣿⠛⠙⢹⠒⢉⠉⠉⠉⠘⠏⠒⠈⣝⡿⣿⣿⣿⣿ ⣀⡤⠢⠀⠀⣀⣂⡀⠀⠀⠀⠀⠀⣺⣧⡀⠀⠀⢀⣰⣾⣻⣿⡾⠀⠀⠀⠀⠀⠀⠀⢰⣳⠀⠀⠀⢀⢿⣿⠀⢀⠀⣾⣿⡿⡃⠂⠀⠀⠀⠀⠀⠈⠀⠀⢸⠀⢠⠉⣠⠀⠀⣸⣄⣀⠐⠂⠐⣾⣄⠀⠀⡄⠀⠿⣿⣿⣿ ⣁⣰⣲⡇⠞⢿⣿⣿⡖⠀⡀⠀⠀⣻⠋⠑⡀⠢⢐⠻⠿⢿⣿⣟⠂⠀⠀⠀⠀⠀⠀⠨⠁⠀⠀⠀⢉⡸⣿⠠⢠⣼⢟⠩⠁⠀⠀⠀⠀⠀⠀⠀⢈⠀⠀⠸⠀⠀⠰⣈⠀⢱⣿⣿⠿⠓⠈⠁⠋⠙⠉⠁⠀⠀⣙⣟⣛⣯ ⣡⣏⣶⡒⣀⣁⡷⠙⠛⣃⣐⣠⣾⠊⠀⠀⠠⠁⠀⠀⢀⣀⣩⡻⠃⠀⢀⣤⡄⠀⠀⠀⠐⠀⢀⠀⠀⠂⠀⣠⣾⣀⣀⢀⠀⠀⡐⠀⢀⣀⠀⠀⣨⡐⠂⣠⢀⠀⡸⡷⠘⢋⣙⠀⠀⠀⠀⠀⣰⣿⡇⠀⠀⠰⣭⣍⢻⣭ ⣿⣿⣯⣿⢻⢿⣿⣿⣛⣿⠻⣿⣥⣒⣦⣤⠤⣶⢤⢾⢟⣴⡛⡍⣏⢻⠁⢉⣺⣟⠖⠗⠉⠖⠅⢄⡀⡂⠈⠛⠿⠟⠃⠀⠈⢑⣾⢔⣾⡥⣶⢭⡝⠋⡻⣟⠟⣛⡿⣟⠦⡄⣽⣧⣴⣿⣿⣻⣿⣿⣿⣷⣤⣿⡏⢃⣀⣹ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡟⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣿⣿⣿⡟⣿⣿⣿⣭⡙⠙⠿⢿⢻⠿⣿⣿⣿⣿ ⠊⠉⠉⠉⠉⢈⠉⠙⠛⠻⠿⡿⢿⣻⣿⣯⣽⣉⣙⣛⢝⣻⣿⡍⠻⢝⠛⠿⣿⢻⡛⡟⣿⡿⣻⣿⣿⣿⣿⣿⣝⣻⣻⣿⣿⣿⠛⠋⠛⣾⢾⣿⣿⣿⣟⣻⣻⣿⠀⠀⠀⢀⣣⣾⣽⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣿⣿ ⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠉⠺⠯⠙⢿⢿⠧⣶⡞⠓⠲⠾⠀⠀⠘⠛⣛⣿⣯⣡⣈⡑⡈⣩⣿⣿⣿⣿⣻⣟⣯⣽⣛⣻⣛⣯⣃⡂⣀⣀⣤⣿⣫⣽⣾⣿⡿⠘⠛⠉⠚⠉⠙⠛⠛⡛⠟⢻⣿⢿⢿⣿⣿⣿⣿⣷⣭ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠚⠋⠉⠉⠛⢾⠵⠭⢖⣌⣴⠃⣬⣝⣭⣯⣽⣿⣷⣿⣿⣿⣿⣿⣿⠿⢋⣭⣿⣿⣿⣿⣟⠛⠙⠛⢻⠲⠮⡬⣉⠁⠂⠄⠄⠈⠛⠡⠇⠩⠙⠛⠋⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣅⢉⣰⠧⠶⣋⠵⡤⠢⣠⠠⠬⠘⠳⠛⠛⠅⡡⢐⠀⠈⣙⠛⢉⠁⠁⠀⣸⣿⣿⣿⣿⢛⠁⠀⠀⠀⠀⠀⠀⢀⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠐⠘⠑⡒⠄⠀⠀⠀⠄⠀⠀⠐⠀⠩⠈⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣤⣀ ⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣿⣿⣿⣿⡏⢀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠠⠀⠒⡂⡚⠢⠀⠀⠨⠉⠉⠅⡼⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠈⠀⠐⠂⠄⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠃⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣇⠋⠀⢀⢠⠐⠌⠒⠀⠀⠉⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠛⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⠈⠁⠀⠈⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⠀⠀⠀⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣟⣻⠀⠀⠐⢻⣿⣿⣿⠟⠁⠸⠁⠀⠀⠀⠀⠐⠃⠀⠄⠀⠀⠀⠠⠀⠀⠀⠀⠠⡆⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣷⣤⡈⠋⢁⣴⣿⡀⠀⠄⠈⠐⠂⠀⠀⠀⠀⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠐⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣪⣶⡤⠉⠁⠀⢰⣿⣿⣿⡇⢀⠄⣰⠧⣤⡀⢀⡀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢞⣫⣶⠟⠀⠀⠀⡀⠀⢹⣿⣿⠃⠀⣺⣵⡿⠈⡰⢸⣛⣴⡠⠀⠀⠀⠀⠀⠀⠀⢴⢀⠄⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠉⠀⡀⠀⠀⣾⣿⡟⠁⠀⢀⣠⣿⣧⠀⠘⣿⡏⠀⠰⠟⠁⡴⠐⠁⠈⠀⡽⢉⡀⣄⠀⠀⠂⠀⠀⢀⣀⠀⡂⠀⠀⠀⠀ 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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠉⠉⠁⠈⠨⠊⠛⠟⣿⣾⡿⣻⣿⣿⣛⡟⠛⠻⣝⡿⣿⡟⠿⡟⠿⣿⣿⡿⡿⣿⢿⣿⣿⢿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣟⡻⠿⢿⣿⣿⢻⡿⢿⢻⠿⠹⠿⣿⣿⣽⣿⣿⣦⣭⣍⡙⠻⡟⣻⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠺⢽⠝⢿⣿⠭⣭⣭⠽⠯⢭⡏⠱⠘⠿⠮⣿⣽⡻⠛⠺⡋⠾⣻⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣵⣬⠀⠹⢻⣹⣿⣿⣿⣿⣂⢠⣀⣀⣄⢤⣤⢼⣷⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠁⠈⠈⠁⠀⠠⠋⠠⠶⠖⠻⠿⣯⠿⠟⡓⣰⠤⡕⢛⡻⠿⢿⣿⣿⣟⣵⣿⣿⣿⣶⣦⢴⣷⣾⣿⣿⠋⠉⣿⣎⡩⣀⣀⣀⠀⠀⣈⡙⠁⠫⠹⣯⣿⣿⣿⣿⣿⣿⣿⣦⣭ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠐⠖⣢⣤⣤⡴⢲⣝⢍⣫⠛⠻⠁⢻⣿⣿⣿⠟⢛⠛⣻⠿⡿⠟⠻⢗⣾⣿⣿⣿⣿⣠⠂⠐⢧⠉⠉⠛⠰⠴⠴⠤⢍⠉⠒⠤⠈⠁⠉⠖⡌⠟⠛⠛⢙⡻ ⠀⠀⠀⠒⠐⠲⠒⠒⠲⠤⠀⠀⠀⠀⠀⠀⠀⠀⢂⠀⠀⠉⠀⠀⠉⠁⠀⠋⠙⠁⠉⠉⠋⠈⠀⠀⠄⠀⠨⠉⠁⠢⠀⠒⠠⠐⢀⣽⣿⣿⣿⣿⠉⠩⠡⠄⠀⠀⡀⠀⠀⠀⠣⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠤⠀⠀⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣠⣀⣴⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣠⣤⣤⢤⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣀⠀⠀⠀⠀⠀⠀⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠊⠀⢶⣿⡟⢻⣿⣿⣿⣿⣿⠀⢠⣤⠀⡠⠀⠀⣀⠀⠀⠄⠤⠄⠀⠭⠩⠅⢉⠀⠀⠚⠀⠉⠄⠒⠒⠠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡒⠾⠟⢿⡿⠿⠄⠣⠉⠀⠰⠒⠓⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣪⡽⠛⠁⠀⣀⠙⣤⣤⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣼⣾⠟⠀⢀⣤⣾⣿⣧⠸⣿⣦⠠⠂⢀⠀⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠁⣠⣶⣿⣿⣿⣿⣿⣧⣿⡇⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠠⠀⠴⠐⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⢉⡈⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⠤⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⢳⠠⣟⣳⠲⠄⢴⡌⠁⠏⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⢀⣀⣠⡯⠘⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⡇⢀⣿⠿⠋⢰⠐⠺⠿⣷⡇⠀⠀⠀⠀⠀⠀⠀⠁⠄⣲⡁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠀⡀⠀⢸⠀⠀⠀⠘⠃⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢈⢁⠘⠁⡄⠀⠀⢸⠂⣴⠰⡄⠀⠀⠀⠀⠀⣴⠦⠨⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠠⠀⠀⠒⢈⢆⠀⣏⠀⠀⠀⠀⠙⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠺⠎⠀⠠⠉⠀⣿⡠⢠⠃⢠⢠⠀⠀⢀⠀⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⡆⠀⠀⠠⢸⣿⠸⠹⠸⠇⠀⠀⠈⠃⠇⠀⠀⠀⠀⠀⠀⠀⢀⡀ ⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⣞⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣚⠛⠿⢿⣿⣿⣿⣿⣿⠟⠉⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⢂⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣷⡄⠀⠈⢉⡿⠉⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⣴⡄⠀⠀ ⠀⠀⠀⣤⣤⣴⣴⡶⣭⡓⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⠏⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⣤⢘⠏⠂⠀ ⠀⠐⠒⠩⠟⠃⣻⣿⡿⡇⣺⠷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠄⢰⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠈⠁⠁⠨⠠⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⠀⠻⠿⠿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀ ⠀⠀⠀⠀⠠⠀⢤⡄⣆⠀⠀⠈⢀⠀⠁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠀⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢊⠀⢀⡈⠀⢀⡁⠀⠀⠐⠀⢠⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠀⢻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠆⠀⠃⠀⠀⠀⠀⣀⠀⠀ ⠀⠀⠀⠐⠈⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠉⠉⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣾⣿⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣀⡈⠂⠀⠁⠀⠀⠀⠀⠀⠀⠙⠋⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⣀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡇⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡤⢦⣶⣿⡦⡭⠅⣒⣶⠔⢪⠕⣿⣯⣅⣢⣖⣾⠞⣄⡠⢀⣀⣀⣀⣀⠐⠀⢠⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣾⣽⣾⣵⣷⣾⣿⣶⡿⣿⣿⣾⣽⡯⣴⣷⣾⣟⣙⣷⣽⢿⣾⣿⣞⠿⢾⣿⣿⠛⠻⣿⣿⣿⡦⣤⣀⣀⣀⣄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠝⠋⠈⣶⡃⢐⠻⠷⠎⠉⡡⣿⣿⣿⠙⠉⡂⢾⠏⠉⠘⢱⣷⡟⠃⠈⢩⣍⣯⠝⠑⠀⠀⠀⠙⠛⠃⠊⠁⠋⠈⠈⢹⠈⠉⢨⠀⢁⠴⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣠⡄⠀⣄⣶⣏⠀⠀⡃⠀⠀⣻⣿⡆⠍⠁⢀⣴⣎⣻⣿⡿⡇⠀⠀⠉⠉⠀⠀⢸⣧⠀⠀⠀⠀⢿⣯⠀⢀⢐⣺⣿⡷⠂⡀⠀⠀⠀⠀⠀⢸⠀⠀⢰⠀⢰⢍⡪⠀⠀⣸⣄⣀⠀⠀⠀⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀ ⣾⣽⣮⠅⠖⣿⣿⣯⣖⡀⡃⠀⢀⣿⠿⠈⠐⠂⠄⠒⡾⢗⡻⢍⡀⠀⠀⡀⠀⠀⠀⢸⠇⠀⠀⠀⢀⠸⣳⡠⢰⣾⢟⠻⠃⠄⠚⠀⠀⢠⠀⠀⢸⠀⠀⢸⠀⠀⢠⢊⠀⢱⣿⣿⠿⣛⣀⢀⢻⡛⢉⠩⠋⠁⣿⣿⣶⣤ ⠩⣳⣿⣓⣀⠀⣮⣿⡛⠃⢐⢀⣶⡃⠀⠀⣀⣧⠀⠊⢐⢋⠑⡺⠒⠒⠀⣰⣺⠀⣀⣸⠀⢀⣠⣄⢐⣀⣻⣿⣄⡀⢀⣊⣠⡞⡀⠀⠀⡔⣐⣀⣰⣀⢂⣸⡒⠂⣨⣷⡘⢋⣙⡂⢒⣂⡀⣂⣸⣷⣆⣂⣈⣴⣿⣿⣿⣿ ⣮⣿⣛⢿⣿⣿⢿⡿⠻⣿⣷⡯⠤⢮⣶⡒⡻⢧⠎⣶⣖⡯⣼⣿⠙⠋⣡⣽⣵⣛⠇⠀⠀⠀⠀⠀⠓⠫⢉⡿⢾⣊⠉⣷⣷⣿⡾⡳⢤⠀⠠⢅⢹⣯⣗⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠉⠈⠉⠈⠨⠋⠛⠟⣻⣾⡿⣿⣿⣿⣛⡟⠛⠻⣝⣿⣿⡟⠛⣟⠿⣿⣿⡿⡿⣿⢿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣟⡟⢿⢿⣿⣿⢻⡻⢿⢿⠿⠻⠿⣿⣿⣽⣿⣿⣦⣬⣝⡉⠻⡟⣻⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠺⢿⠝⢾⣿⠯⣭⣭⠯⠯⠭⡏⠑⠸⠭⣮⣽⣽⡳⠙⠺⡋⠻⣻⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣵⣬⠁⡹⢫⣹⣻⣿⣿⣿⢂⢠⣀⣀⣀⣠⣴⣾⣷⣾⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠉⠈⠈⠁⠀⠈⠋⠠⠶⠶⠻⠿⢯⠿⠛⡛⣲⣠⡑⢛⡻⠿⢿⣿⣿⣟⣷⣽⣿⣿⣶⣶⢴⣷⣾⣿⣿⠋⠉⣿⣎⡀⣁⣀⣀⠀⠀⣈⡉⠁⠋⠹⣿⣿⣿⣿⣿⣿⣿⣿⣮⣽ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠐⠖⣠⢤⣤⡤⢲⣝⢍⣫⠚⠛⠁⣹⣿⣿⣿⠟⢛⠛⣿⠿⡿⠟⠿⢗⣾⣿⣿⣿⣿⣳⠂⠐⢧⠋⠛⠑⠸⠗⠦⠀⡍⠉⠒⠤⠈⠁⠹⠲⡬⠿⠋⠛⢙⣛ ⠀⢀⠀⠒⠐⠒⠒⠐⠲⠤⠀⠀⠀⠀⠀⠀⠀⠀⢆⠀⠈⠉⠀⠄⠉⠁⠒⠛⠛⠁⠈⠉⠋⠈⠀⠀⠄⠀⠨⠉⠁⠢⠐⠖⠠⠐⢀⣽⣿⣿⣿⣿⠉⠈⠁⠄⠀⠀⡀⠀⠀⠀⠡⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠄⠀⠀⢄⡀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣠⣀⣴⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⢤⡀⠀ 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⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣚⠛⠿⢿⣿⣿⣿⣿⣿⠞⠉⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⢂⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣷⡄⠀⠈⢉⡿⠉⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣄⠀⠀ ⠀⠀⠀⣤⣤⣴⣴⡷⣭⡓⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⠏⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⠀⠀⠀⣤⢘⡏⠂⠀ ⠀⠐⠒⠩⠟⠗⣻⣿⡿⡇⣺⠷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠄⣰⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠀⡀⠀ ⠀⠀⠀⠀⠀⠀⠈⠈⠁⠁⠨⠠⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠅⠀⠻⠿⠿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀ ⠀⠀⠀⠀⠠⠀⢤⡄⣆⠀⠀⠈⢀⠀⠁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠀⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢈⠀⠀⡈⠀⠀⡡⠀⠀⠐⠀⢢⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠀⢻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠄⠀⠁⠀⠀⠀⠀⣀⠀⠀ ⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠉⠉⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣾⣿⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢀⡈⠂⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠙ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠈⠐⣀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡇⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡤⢦⣴⣿⡦⡭⠅⣒⣶⠔⢪⠕⣿⣯⣵⣢⣖⣾⠞⢄⡀⢀⣀⣀⣀⣀⠐⠀⢠⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⢤⣴⣶⣽⣾⢵⣷⣾⣿⣶⡿⣿⣿⣾⣽⣯⣴⣷⣾⣟⣙⣷⣽⢿⣾⣿⣞⠿⢾⣿⣿⠛⠻⣿⣿⣿⡦⣤⣀⣀⣀⣄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠍⠋⠈⣶⡃⢐⠻⠷⠎⠉⡡⣿⣿⣿⠙⠉⡂⢾⠏⠉⠘⢱⣷⡟⠃⠈⢩⣍⣯⠝⠑⠀⠀⠀⠙⠛⠃⠊⠁⠋⠈⠈⢹⠈⠉⢨⠀⢁⠴⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣠⡄⠀⣀⣶⡏⠀⠀⡃⠀⠀⣻⣽⡆⠍⠁⢀⣴⣎⣻⣿⡿⡇⠀⠀⠉⠉⠀⠀⢸⣧⠀⠀⠀⠀⢿⣯⠀⢀⢐⣺⣿⡷⠂⡀⠀⠀⠀⠀⠀⢸⠀⠀⢰⠀⢰⢍⡪⠀⠀⣸⣄⣀⠀⠀⠀⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀ ⣞⣽⣮⠅⠖⢿⣿⣯⣒⡀⡃⠀⢀⣿⠿⠈⠐⠂⠄⠒⡾⢗⡻⢍⡀⠀⠀⡀⠀⠀⠀⢸⠇⠀⠀⠀⢀⠸⣳⡠⢰⣾⠟⠻⠃⠀⠚⠀⠀⢠⠀⠀⢸⠀⠀⢸⠀⠀⢰⢊⠀⢱⣿⣿⠿⣛⣀⢀⢻⡛⢉⢩⠋⠁⣿⣿⣶⣤ ⠫⡳⣿⣓⣀⠀⣮⣿⡛⠃⢐⢀⣶⡃⠀⠀⣀⣧⠀⠊⢐⢋⠑⡺⠒⠒⠀⣰⣺⠀⣀⣸⠀⢈⣠⣄⢐⣀⣻⣿⣄⡀⢀⣊⣠⡞⡀⠀⠀⣔⣐⣀⣰⣀⢂⣸⠒⠂⣨⣷⡘⢛⣙⡂⢒⣂⡀⣂⣸⣷⣆⣂⣈⣴⣿⣿⣿⣿ ⣮⣿⣛⢿⣿⣿⢿⡿⠻⣿⣿⡯⠤⢮⣶⡒⡻⢧⡎⣶⣒⡯⣼⣿⠙⠋⣡⣽⣵⣛⠇⠀⠀⠀⠀⠀⠓⠫⢙⡿⢾⣊⠉⣷⣷⣿⡾⡳⢤⠀⠠⢅⢹⣯⣗⣽⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠓⣨⡍⠉⠝⠻⠿⠿⣿⣿⣿⣿⣿⣿⣟⣛⠿⢿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠈⠀⠁⢀⡀⠀⠀⠑⠉⠹⠿⠿⣿⣿⠯⣿⣿⢿⣿⣽⡿⣫⡿⢿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣙⡛⣿⣿⣿⣿⣿⡾⠛⢻⣿⣿⣯⠉⢝⣿⣿⣛⣿⣿⣿⣿⣶⣬⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠉⡩⢬⠟⠙⠉⡙⠥⠶⡶⠾⣿⣿⣿⣿⢿⣿⣷⡿⣿⣿⣿⣿⣿⣿⣷⣯⣿⣿⣿⣿⣽⣾⣾⣿⣿⠏⢿⣿⣿⣿⣿⢶⠳⠿⡿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠤⢐⣶⡶⣤⣤⣤⣤⣼⣶⣭⡿⢟⢿⣿⣿⣿⣾⣿⣿⠿⢿⣿⣿⣿⢿⣍⣽⣿⡿⣏⣉⢤⣤⣶⣮⣝⣛⣿⣶⣿⣗⣒⠶⢮⣼⡌⠹⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠉⠙⠋⠛⢛⢛⡳⠆⢀⠠⠤⠀⠂⠀⡐⡲⡤⠚⠩⢙⠩⠹⡛⢛⢻⢻⠿⠋⠿⠛⠻⠋⠛⠉⠩⢭⠿⠛⠯⠠⢢⣬⢟⣷⣿⣿⣿⡟⠉⠙⣿⣷⡿⡟⡢⠀⠀⠐⠛⠻⣏⠝⠂⠨⠈⠉⠀⡀⠋⠋⠙⠻⠛⠙⣽⠿⣻⣝ ⠲⡤⠀⠂⢀⡁⢀⠀⢀⠁⠀⠁⠀⠀⠀⠨⠈⠀⠀⠀⠈⠞⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⢐⠠⣶⣿⣿⣿⣿⣁⣀⣀⠓⠑⠈⠁⠈⠍⠄⠂⠀⠀⠙⠃⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿ ⠀⠀⠀⠀⡄⠐⠈⠁⠂⢁⠀⠀⠀⠀⠀⠀⠀⢬⡀⠀⠀⡄⠀⠀⡀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣐⣢⠁⠀⠀⠀⣀⡀⣀⣀⠤⠤⢤⡄⠀⣲⣾⢿⡶⢾⣷⡶⠒⡒⠒ ⠀⠀⠀⠀⡀⠀⠀⠀⠓⠀⠀⠀⠀⠀⠀⠀⠀⠊⠁⡀⠀⠀⠂⠀⠈⠉⠀⠀⠉⠅⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣠⣶⠯⠎⠉⠛⠻⠌⠈⠛⠛⠉⠋⠀⠙⠉⠀⠝⡙⠛⠛⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠀⠀⠠⠀⠀⠀⠀⠀⠐⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⢀⣠⣴⣇⠀⢀⣼⣿⡿⠉⠉⠹⠿⣻⣿⣿⣿⡿⠋⠈⠀⠑⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⣀⠀⠀⠀⣠⣤⣶⣾⣿⡿⠟⠛⠠⠏⣉⣉⡀⠀⠒⠈⠉⠉⢨⣥⡜⢿⠆⢀⠐⡀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⡀⠀⠀⠀⠀⠀⠀⢀⣀⣴ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠉⠘⢿⣿⣶⠙⠿⠏⠁⠀⠀⠀⠠⣼⣿⣿⣿⣿⣆⡀⠀⣤⣾⣿⠃⣸⠀⢛⢂⡋⠄⡄⠀⠀⡀⢀⡀⠀⠀⠀⢀⡬⠃⠀⠀⠀⠀⠈⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠷⣤⣀⣨⡁⠀⠀⠀⠀⠀⠀⠀⠀⠟⣿⣿⣿⣿⣿⣿⣶⣶⡿⢁⡴⠃⠛⢂⠈⠂⠀⠀⣦⡀⠀⠀⠈⠁⠈⠉⠙⡁⣉⠀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠈⠉⠉⠉⠉⠛⠁⢁⣄⣸⢿⣬⣄⠀⡆⠤⢼⠃⡈⠀⠀⠀⠀⠀⠀⠀⣈⡿⠀⠀⠘⢖⢦⡀⠀⠐ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠁⠀⠀⠀⠀⠀⠀⢤⠀⠀⠀⢀⣀⣴⣇⡀⠀⠀⣀⣠⣤⣤⣀⣀⠀⠀⠈⣺⣿⡿⠊⡴⣸⣿⣴⣨⠸⡅⠀⠀⠀⢀⢀⣴⣀⣬⡀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠂⠙⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡔⠑⠇⠀⠀⠀⠢⠠⢲⣷⣦⣶⣠⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠐⠛⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡀⢙⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣄⣴⢶⢄⢳⡒⣒⣂⡐⣲⢦⣤⣤⣤⣤⣀⣀⣀⡀⠀⠀⠀⠀⠂⠁⠀⠀⠀⠀⠀⠐⠛⡀⠈⢛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⠀⢐⠉⠀⡐⠋⠨⣧⡉⠠⢶⠿⠈⠀⣡⠖⣫⣿⠆⠃⡈⢿⠆⠀⠀⢰⢤⠂⠀⠀⠠⣀⣀⠀⠀⠀⠀⠀⠄⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣤⣤⡆⠀⣇⣶⡇⠀⠀⡀⠀⠀⣾⣿⡑⡗⡂⢀⣴⣿⣿⠿⣿⡇⡄⣈⠄⢈⠀⠀⢸⣏⠁⠰⠀⠀⢿⣿⠀⢐⢐⣾⣿⡷⢊⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡇⠞⣿⣿⣿⣖⡀⡃⠀⢀⣻⠿⠒⠐⠪⢄⡨⣿⣟⣻⣿⡃⠀⠁⡤⢌⠀⠀⢨⡃⠀⠀⠀⠀⡰⣦⡠⢠⣾⢟⠯⠂⢄⣄⠀⠀⣥⠀⠀⢨⠀⠀⢰⠀⠀⢀⡀⠀⢱⣾⣿⠿⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡿⢻⣗⣀⣃⣯⣭⣿⡃⣒⣡⣾⡋⣀⣀⣴⡽⡓⠚⠛⡟⢿⡹⢕⣒⣂⣷⣔⡀⡀⢈⣀⡘⣠⣤⣀⣐⢛⣯⣄⢐⢒⡂⠥⣾⣯⣒⣀⣿⣀⣀⣨⣀⣒⣸⣐⣂⣸⣷⣜⣛⣡⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣷⣿⣿⣿⣿⣿⣿⢿⢷⡿⠿⢶⣾⣿⢾⣋⡉⣫⢬⣯⣗⣿⣯⢿⣿⣿⣿⣏⡽⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣾⣟⣿⣣⣾⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣦⣤⣄⡀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠆⠈⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⡈⠛⢛⣻⢿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠟⠋⠆⠀⣾⣿⣿⣿⣿⣯⡍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣓⢠⠀⠀⠍⠐⠛⢋⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⣀⣀⣤⣤⣉⣈⡙⠻⢿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠉⠈⠋⠀⠀⠐⠀⠈⠀⠀⠀⠀⠙⡱⡖⡛⣿⢛⠬⠻⠿⠿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣈⡈⠉⠿⠿⠿⠿⠿⣿⣿⣿⣿⡷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣤⣤⣤⣄⡀⠀⠀⠀⠀⠐⠂⠀⠀⠀⢁⣝⣐⣹⣿⣳⣶⣶⣶⣾⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡤⠶⣒⣛⣛⣛⣿⣿⣿⣼⣿⣭⣶⠯⣽⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠈⠩⠮⡏⠼⢰⠍⠹⣲⠌⠚⠻⠻⡻⣋⠙⠩⠵⠺⢻⠿⡟⡿⡟⠋⠹⠿⠛⠻⡙⠫⠣⠴⣿⣟⢻⢏⡨⠴⠿⣻⡿⡍⡁⣠⣿⣷⣿⣿⣯⣿⣽⣿⡟⡯⢻⢿⣿⡟⠧⠍⠉⠛⠢⡬⢻⢿⣛⡿⢿⣿⣿⣿⣿⣿⣿⡿⢿ ⠀⠀⠶⠠⢤⢀⢀⠀⠀⠀⠀⠀⠀⠒⠀⠀⠀⠐⠚⠃⠁⠁⠈⠁⠀⠁⠀⠀⠀⠀⠀⠀⠐⠩⠉⠇⡄⠵⢄⠈⣘⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠐⠁⠈⠛⠓⠀⠀⠀⢠⡀⠈⠀⠈⠉⠉⠊⠉⠛⠛⠻⣿⡷⠩⡤ ⠐⠗⠀⠈⠁⢰⠚⢦⠊⠀⠀⠀⠀⠐⠲⣦⠀⠀⠠⢠⣥⠥⡼⡂⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢵⣿⣿⠁⠘⣿⣿⣿⣿⣯⢯⢓⣫⣿⣿⠟⠀⠴⠀⠀⣀⣀⣀⣠⣤⣄⡄⢤⣶⣶⣶⣶⣶⣤⡤⣤⣤⣦⣦⣥ ⠀⠀⠀⢠⢌⠈⠉⠈⠆⠀⠀⠀⡀⠀⡌⠀⢤⠄⠀⠘⠉⠀⠀⠀⠤⠀⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣄⠀⠈⠙⠿⠿⣻⠿⠛⣋⣫⣿⢶⣾⣽⣟⡿⡷⠇⢛⠻⠛⠻⡯⡚⢋⣻⣿⡾⣿⢿⠆⠈⠈⠉⣹⣿ ⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⡈⠉⠠⠀⠈⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣦⣀⠀⢀⢂⡈⠙⠉⠉⠙⠭⠳⠀⠄⠘⠀⠀⠙⠋⠁⠀⢉⠉⠀⠀⠈⠁⠉⠀⠀⠀⠀⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠈⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣷⣠⠷⣀⡀⠂⠀⣰⡄⠀⠀⠀⠀⠐⠀⠈⠀⠒⡔⠀⠀⢠⡀⠀⠀⠀⣠⣤⣦⣤⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢾⣿⡿⠿⠿⠿⠿⣿⣿⣿⠁⣻⢩⠀⢚⡓⡺⢵⢹⡀⠠⣯⠀⣇⢠⡂⠀⢠⣿⣿⣀⡀⠎⠃⠈⠓⠘⠉⣙⣿⣿⡏ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢾⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⣀⡀⠀⠙⠋⣼⠿⠐⠛⠻⠁⠙⠀⡀⢠⡄⠀⠀⠀⠉⠂⢻⠻⠛⠛⣆⢉⡀⠀⠀⠀⠀⠀⠀⣿⣟⣁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⡀⠀⣠⣿⣿⣿⣿⣿⠀⠀⠀⣤⣴⣿⣿⣥⠄⢰⢧⢼⡿⡀⠁⠀⠀⠀⠀⠀⠚⣻⣿⠋⠉⠰⣷⣦⣠⠀⠠⠅⠟⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠛⠔⠂⠀⠀⠀⠀⠀⠠⠆⠀⠀⠀⠀⡏⣭⣿⠃⠀⣿⣿⣿⣿⣿⣿⠀⠀⠈⢹⣿⣿⠿⣯⣆⣿⣷⣮⡅⣧⠀⠀⠀⠀⠀⣠⣤⣯⣍⠀⠀⠀⠈⠉⠉⠁⠀⡠⠄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠐⢤⠐⢂⢀⡀⠠⡌⠀⠀⠀⠈⠨⢿⣧⠀⢸⣿⣿⣿⣿⣿⡄⠀⡂⠿⠋⣰⢆⠋⢉⡉⣽⢟⡀⣽⠀⠀⠽⠆⠙⠋⢛⣻⣿⠀⠀⠀⠀⠀⠀⠀⣑⣀⢠⠆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⡸⠘⡗⠭⠈⠳⢼⣗⢔⠁⠀⠀⠀⠀⠀⠉⢻⣗⢼⣿⣿⣿⣿⣿⣿⠈⢡⣿⡗⠀⣸⣿⣿⣖⣏⣼⠋⣛⠀⠂⠀⠀⢠⢞⠛⢙⡃⠐⠊⠁⠀⠀⠀⠰⢿⡖⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢒⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠸⠇⣸⣿⣿⣿⣿⣿⣿⠀⠀⠀⢠⡶⠉⠀⣸⣿⡇⡿⣦⣿⠋⠀⡀⣷⢻⠉⠘⠋⠀⠀⠀⠀⠀⠀⠠⣄⣽⠄⠀⠀ ⠀⠀⠀⠐⠰⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⡄⡔⠈⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⠀⠀⠁⠘⢀⡬⠀⣹⣿⡗⠘⠅⠉⠀⠀⠑⠈⠈⠀⠀⠀⠀⠀⠀⠀⠴⠆⣠⡟⠃⠀⠀⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠈⠀⠀⠟⠁⠀⣠⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠤⠤⠃⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡤⠤⣽⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠯⠂⠀⠀⠀⠞⢋⣽⣿⡯⠙⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⣀⢀⡀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣂⢼⣿⣿⠇⢀⡙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠉⡂⠄⡖⢿⠀⠀⡖⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀ ⠿⣿⣿⡧⣿⣫⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣐⡽⣦⠻⣿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠗⠁⠂⣼⣿⡿⢈⠉⠀⠀⠀⠀⠀⠀⠐ ⠀⠀⠀⠀⠒⣖⠒⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠐⡄⣈⣲⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡖⠀⠀⠀⠀⠊⠉⠙⠘⠆⠀⠀⠀⠀⠀⠀⠀ ⢷⣼⠅⢀⠀⠀⢤⠀⠠⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⢹⣷⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠠⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣥⠀⠀⠼⠂⠀⠀⠃⠀⣥⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡽⣾⢽⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠠⡄⢰⣀⢻⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⡈⠀⠼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠠⠸⣇⠃⠇⠀⠀⠐⠦⡴⢶⣶⣶⣶⣤⠀⠆⠀⠀⠀ ⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠐⠋⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠂⠀⠀⠀⠉⠀⠀⠀⠀⠀⠁⠒⠚⠛⠂⠃⠈⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⠀⠐⠀⠁⠅⠂⠂⠂⠀⣀⠀⣀⠐⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⢠⣶⡂⡀⣄⣶⣦⠀⠀⠀⠀⡀⣿⣊⠔⡈⠃⠀⣴⢷⣾⣛⣿⠀⡄⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⢐⣾⣿⡷⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡇⡞⣿⣿⣿⣖⡀⡇⠀⢀⣿⢿⠗⠡⡠⢖⡿⡿⡟⣫⢾⡇⠇⠄⡀⠄⠀⠀⣸⡃⠀⠀⠀⠀⠀⣀⡠⢠⣼⠟⠉⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⣿⣿⠿⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣗⣐⣃⣿⣿⣿⡓⢒⣠⣾⡛⠒⠂⣴⣻⣂⡚⢛⣿⣟⣻⣅⣒⣂⣷⣖⡀⠀⣚⡀⣘⢤⣴⣐⣒⣺⣾⣦⣒⣐⣂⣤⣶⣤⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⢿⣿⣿⣿⣯⣿⡻⣻⣿⣿⣿⣾⣷⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣿⣻⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣽⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠆⠈⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⡈⠛⢛⣻⢿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠞⠋⠂⠀⣾⣿⣿⣿⣿⣯⡍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣓⠠⠀⠀⠈⠐⠟⠋⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⢀⣀⣤⣤⣉⣉⡙⠻⢿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠉⠉⠋⠀⠀⠀⠀⠈⠀⠀⠀⠀⠙⠹⡒⠛⣿⢛⠮⠛⠿⢿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣈⡉⠉⠿⠿⠿⠿⠿⣿⣿⣿⣿⡷⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣤⣤⣤⣄⡀⠀⠀⠀⠀⠐⠂⠀⠀⠀⢁⣕⣀⣹⣿⣳⣶⣶⣾⣶⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡤⠔⣒⣛⣛⣛⣿⣿⣿⣾⣿⣭⣴⢯⣽⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠡⠮⡏⠨⠐⠌⠉⣲⠜⠛⠻⠻⡻⣋⠙⠩⠵⠺⢻⠿⡗⡿⡟⠋⠹⠟⠛⠿⡙⠫⠣⠰⣿⣟⢻⢏⡨⠤⠻⣻⡿⠁⡁⣠⣿⣷⣿⣿⣯⣽⣽⣿⡟⡫⢺⢿⣿⡟⠧⠍⠉⠑⠢⣌⢻⢿⣟⡿⢿⣿⣿⣿⣿⣿⣿⡿⢿ ⠀⠀⠶⠠⢤⢀⢀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠐⠚⠃⠁⠀⠈⠁⠀⠁⠀⠀⠀⠀⠀⠀⠐⠩⠙⠇⡄⠵⢄⠈⣈⣵⣿⣿⣿⣿⣿⣿⡿⣯⣿⣿⢿⣇⠐⠁⠈⠛⠓⠀⠀⠀⢠⡄⠈⠀⠊⠈⠙⠈⠈⠙⠛⠹⣿⣷⠡⡤ ⠘⠖⠀⠈⠁⢰⠚⢦⠈⠀⠀⠀⠀⠐⠲⣦⠀⠀⠠⢰⣥⠥⠼⡂⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢵⣿⣿⠁⠘⣿⣿⣿⣿⣿⢿⣱⢫⣧⡽⡟⠀⠴⠀⠀⣀⣀⣀⣠⣠⣄⡄⢤⣶⣶⣶⣶⣶⣤⡤⣤⣤⡤⣦⣥ ⠀⠀⠀⢠⢌⠈⠈⠈⠆⠀⠀⠀⠀⠀⡌⠀⢠⠄⠀⠈⠉⠀⠀⠀⠠⠀⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣄⠀⠀⠙⠿⠿⣻⠿⠛⣋⣩⣿⢷⣾⣽⣟⠿⡷⠓⠛⠻⠋⠻⡯⠘⠛⣫⣷⣚⣿⢿⠃⠈⠈⠉⣹⣿ ⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⡈⠉⠠⠄⠈⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣦⣀⠀⢀⢂⡈⠉⠉⠉⠙⠩⠳⠠⠄⠘⠀⠀⠙⠛⠁⠀⢈⠁⠀⠀⠈⠁⠉⠀⠈⠀⠀⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠈⠉⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣷⣠⠷⣀⡀⠂⠀⣴⡄⠀⡀⠀⠀⠐⠀⠈⠀⠒⠔⠀⠀⢠⡀⠀⠀⠀⣠⣤⣦⣤⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢾⣿⡿⠿⠿⠿⠿⣿⣿⣿⠁⣫⠩⠀⢚⡓⡚⢥⢹⡀⢠⣧⠀⣄⢁⡂⠀⢠⣽⣿⣀⠀⠎⠃⠈⠒⠘⠉⣙⣿⣿⡏ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠶⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⣀⡀⠀⠙⠋⣴⠿⠐⠛⠻⠁⠙⠀⡀⠠⡄⠀⠀⠀⠉⠂⢻⠻⣛⢓⢇⠉⡀⠀⠀⠀⠀⠀⠀⣿⣿⣁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⡀⠀⣠⣿⣿⣿⣿⣿⠀⠀⠀⣤⣴⣿⣶⣥⠄⢰⢧⢼⡿⡀⠁⠀⠀⠀⠀⠀⠛⣻⣿⠋⠉⠰⣶⣆⣤⠀⠰⠍⠝⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠔⠂⠀⠀⠀⠀⠀⠠⠆⠀⠀⠀⠀⡏⣭⣿⠃⠀⣿⣿⣿⣿⣿⣿⠀⠀⠈⢹⣿⣿⠯⣭⣆⣿⣷⣮⡅⡇⠀⠀⠀⠀⠀⣠⣤⣬⣍⠀⠀⠀⠈⠉⠉⠀⠀⠀⠄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠤⠐⢂⢀⡀⠠⡌⠀⠀⠀⠈⠨⢿⣧⠀⢸⣿⣿⣿⣿⣿⡄⠀⡂⠿⠋⣰⢆⠋⢉⡉⣽⠟⡀⣽⠀⠀⠭⠆⠙⠋⢛⣹⣿⠀⠀⠀⠀⠀⠀⠀⣀⣁⢰⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠸⠐⡗⠥⠈⠳⢼⣗⢔⠁⠀⠀⠀⠀⠀⠉⢻⣇⢼⣿⣿⣿⣿⣿⣿⠈⢡⣷⡗⠀⣸⣿⣾⣖⣏⣼⠋⣛⠀⠂⢀⠀⢠⢞⠛⢙⡃⠀⠊⠁⠀⠀⠀⠰⢷⡄⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢂⠀⠀⠐⠄⠀⠀⠀⠀⠀⠀⠸⠇⣸⣿⣿⣿⣿⣿⣿⠀⠀⠀⢠⡲⠉⠀⢸⣿⡇⡿⣦⣿⠃⠀⡄⣧⢻⠉⠉⠋⠀⠀⠀⠀⠀⠀⠀⣄⣼⠄⠀⠀ ⠀⠀⠀⠐⠰⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⡀⡀⠈⠀⠄⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⠀⠀⠁⠘⢀⡬⠀⣹⣿⡗⠘⠅⠉⠀⠀⠁⠂⠈⠀⠀⠀⠀⠀⠀⠀⠴⠆⣠⡼⠃⠀⠀⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠟⠁⠀⣀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠶⠞⠁⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡠⠤⣽⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠯⠂⠀⠀⠀⠞⢋⣽⣿⡯⠙⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⣀⠀⡀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡏⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣂⢼⣿⣿⠇⢀⡙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠉⡀⠄⡖⢦⠀⠀⡶⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠿⣿⣿⡧⣿⣫⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡀⠀⣐⡽⣦⠻⣿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⠀⠖⠃⠂⣼⣿⡿⠈⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠒⣖⠒⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠐⡄⣈⣲⢾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠖⠀⠀⠀⠀⠈⠉⠛⠘⠆⠀⠀⠀⠀⠀⠀⠀ ⢷⣼⠅⢀⠀⠀⢤⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⢹⣷⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠠⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣥⠀⠀⠼⠂⠀⠀⠃⠀⡥⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡽⣾⢽⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡄⢰⣄⢚⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⡈⠀⠼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠸⣇⠃⠇⠈⠀⠐⠢⡴⢶⣷⣦⣶⣠⠀⠀⠀⠀⠀ ⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠐⠊⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠐⠒⠂⠀⠀⠈⠈⠀⠀⠀⠀⠈⠁⠃⠚⠛⠂⠃⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⠀⠐⠀⠁⠅⠂⠂⠂⠀⣀⠀⣀⠐⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⢠⣶⡂⠀⣄⣶⣦⠀⠀⠀⠀⡀⣿⣊⠔⡈⠃⠀⣴⢶⣾⣚⣿⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣾⣿⡷⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡇⠞⣿⣿⣿⣖⡀⡇⢀⢀⣿⢿⠗⠠⡠⢖⡿⡿⠟⣫⢾⡇⠃⠀⡀⠈⠀⠠⣸⡃⠀⠀⠀⠀⠀⣀⡠⢠⣼⠟⠉⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⣿⣿⠿⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣗⣐⣃⣯⣿⣿⡓⢒⣠⣾⡛⠒⠂⣴⣻⣂⡚⢛⣾⣟⣻⣅⣒⣂⣷⣖⠀⠀⣚⣂⣘⢤⣴⣐⣒⣺⣾⣦⣂⣐⣂⣤⣶⣤⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⢿⣿⣿⣿⣯⣿⡻⣻⣿⣿⣿⣾⣷⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣿⣻⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣽⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠙⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣔⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡙⢿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡈⢐⣛⣛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢬⡅⡊⢸⠿⠟⠛⠉⣿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣭⣛⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠈⠀⠈⠈⡀⠀⡁⠀⠄⡪⢺⡽⣛⣵⣮⣭⣤⣭⣙⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣷⣭⣭⣭⣿⣿⣿⣽⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣻⡲⠆⣴⢥⣤⣤⢤⣬⣴⣾⣶⢾⣖⣶⣺⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣟⣻⣿⣿⡿⣿⣿⡏⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢿⣿⣽⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣉⢁⠉⢛⡣⠈⠑⠀⠘⠩⡱⡝⠂⠀⠉⣵⣶⡯⠿⠻⠽⠌⠐⠝⠉⠒⠐⠈⠙⠉⠙⣿⣻⣟⠻⣝⡻⠿⣟⠯⣟⢁⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢟⣿⡿⠛⠃⠤⡌⠻⠿⠽⣿⣻⣻⣿⣿⣿⣿⣿⣿⡿⣻⠻⠿⣭ ⠉⠝⠓⣺⣦⡦⡄⠀⠀⢀⣀⣀⣌⡀⠀⠀⣈⣤⡤⢅⣤⠀⠀⠀⠄⠀⠀⠀⠰⠂⠀⡊⠭⠛⢂⠹⡶⠘⡟⠃⢾⣿⣿⣿⣿⣿⣿⣿⡿⣟⣻⣿⡀⢄⠒⢛⠙⠀⠀⠓⠛⠤⠂⢋⣉⣉⣐⣠⡐⠂⠐⠘⢿⣇⡽⣲⣮⡑ ⠁⠀⠞⠿⣿⣇⠈⠀⠀⢀⠄⢀⠝⡓⣀⠀⠁⢿⠞⠙⠛⣱⠔⡶⣶⣤⢀⠀⠀⠀⠂⠁⠀⠀⠀⠀⣠⣴⣦⡀⠀⠙⢿⣿⣿⣿⣿⣿⣿⢿⣿⣭⣭⣵⣶⣶⣶⣶⣶⣿⣿⣶⣞⣿⣿⣿⣟⣿⣿⣿⡽⣿⡿⣿⣿⣿⣿⡿ ⠐⠛⠋⠀⡶⡼⠀⠀⠘⠑⠼⠟⠀⠈⠿⠑⣀⠤⡄⠀⠈⣌⢵⠐⠁⠁⠀⠀⠀⠀⠀⠀⠀⠈⢰⣾⣿⣿⣿⣿⣆⠀⠀⠙⠛⠿⠭⢾⣷⣿⣿⣟⡻⣿⢷⠚⡙⢿⣬⠽⣄⢭⣽⡻⡟⡿⠿⢿⠿⠿⠁⢀⠀⠰⢿⢿⠿⠁ ⠠⠀⠀⠠⢠⠁⠀⠀⠠⠷⠆⠀⠑⠀⠀⠀⠃⠀⠀⠀⠀⠈⡁⡆⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣷⣦⣤⡄⣰⢤⡴⠠⢉⡉⡉⣉⠉⢀⠀⠀⣀⡈⣀⣠⣢⣤⣄⡀⠠⠀⠀⠐⠠⣒⣀⣤⡀⠀⠈⡃⠠ ⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⡿⢋⣭⣭⣿⣿⣿⣿⣿⣿⡿⠿⠇⣴⣆⣾⣕⡟⠃⢚⡟⠺⣴⣘⡤⣀⡄⣿⣦⡄⣖⣿⣿⣶⣦⣼⣿⣿⣿⣿⣦⣧⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣑⠆⢠⡤⠀⠀⠀⠀⠀⠘⣿⡿⣿⣿⠉⢻⣿⣿⣿⣫⡟⢲⣦⣻⣴⣼⠶⣾⠋⠚⡀⠿⡻⠞⠿⣿⣿⣿⣽⣿⣿⡿⢿⠏⠇⠈⠉⠀⠘⢿⣿⣿⡿⢿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠀⣀⠘⠁⠀⠀⠛⠃⠀⠈⠀⠀⠀⠀⠀⣶⣿⡇⠀⠉⣠⣾⣿⣿⣿⣿⠙⠃⠈⠉⣱⣬⣴⡆⢉⣸⣆⢻⣦⢸⠄⢀⠀⠈⠛⠛⣴⣾⣶⡾⠦⢠⣄⣀⡀⢠⣾⣿⣿⠿⠐⠚ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡴⡓⢀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠈⢷⣿⣿⣤⣄⣿⣿⣿⣿⣿⣿⡇⠀⠽⣿⣿⣿⡿⣟⢡⣿⣛⡻⢹⡗⠀⠀⠀⠀⠀⠠⢖⣿⡟⢐⠀⣙⣿⠿⢿⠜⠋⠁⢁⣀⣀⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠐⠄⠼⠔⡅⣀⣀⠀⠀⢉⠩⡄⠀⠀⠀⣯⣾⣿⣷⣽⣿⡯⢹⣿⣿⣿⣿⠀⣤⣾⠿⣋⢩⡿⠿⠿⣿⣿⠸⡇⠀⣢⣄⣰⣶⣾⣿⣿⣷⠀⡀⠀⠚⠃⠀⢴⣿⡯⣻⢯⣻⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠈⡢⡄⣠⣭⠛⣥⡦⣾⣧⣽⠇⠀⠀⠀⢿⣿⣻⢟⣻⡉⠁⠈⣿⣿⣿⣿⡷⢹⣭⡜⠋⣶⣤⣶⣾⠟⣰⣶⣧⠀⡈⠉⠀⢄⣴⡾⣿⠇⣠⡤⠆⠀⢠⠀⣼⣿⣿⠟⢉⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠉⠛⠁⠘⠋⠀⣤⣅⠛⠻⣻⡆⠀⠀⠀⣿⣾⣤⠿⣹⡃⠀⣸⣿⣿⣿⣿⠇⠚⠛⢈⡱⠟⡛⣿⣿⣆⣿⣰⣿⡆⠙⢧⣄⣿⡶⣔⠾⠀⠉⠀⠀⠀⠀⠈⣻⣻⠁⠀⢈⣿⣿ ⣀⣀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠚⠈⠀⠀⠠⠝⠀⠀⠀⠙⢿⣶⣶⡾⠿⢾⠟⠛⠋⡍⠀⠈⠀⠄⣼⠁⡔⠡⣿⣿⡿⣿⠿⠿⠀⠸⣞⡇⠿⠀⠌⠀⠀⠀⠀⢀⣠⡀⢿⣿⠋⠀⢠⣾⣿⣿ ⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠒⠀⠐⠑⠀⠀⠀⠀⠀⠀⠀⠀⠠⠴⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠃⢠⣿⠛⠁⠈⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⢀⣟⣰⡿⡁⠀⠀⠸⢿⡿⠛ ⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠺⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠐⠈⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠈⠉⠁ ⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠦⠀⠀⠀⠀⠀⠒⣷⣦⣠⠿⣿⣿⠟⢴⣦⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣹⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡎⢹⡚⢇⠀⣻⣾⣿⡻⠆⠀⠀⠀⠀⠀⠀⣻⡂⠀ ⠛⢙⣓⣛⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢨⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠇⠀⠸⠿⢿⣿⣧⠀⠂⠀⠀⠀⠁⠀⠙⢃⡀ ⠀⠀⡙⠃⠈⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠭⡇⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠓⠀⠀⣀⣬⠀ ⠁⣎⠈⠎⢧⡀⠩⢃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠄⠃⠀⠀⠀⠀⠁⠀⣀⢀⣗⠀⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠛⠃⠀ ⠚⠋⠀⠀⠈⠀⠈⠻⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⡐⣀⣤⢴⣽⡢⠝⠆⢏⣠⣤⣤⣀⣠⡄⡂⠰⡆⠀⠀⠀⠀⠀ ⠀⠀⡀⠀⠀⠀⠀⠨⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠖⠤⠭⠜⠃⠀⠥⠴⠁⠠⠉⠉⠻⢿⣻⠿⠇⠹⠅⠒⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠨⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠰⠒⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⡄⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠤⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠆⠂⢤⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠂⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀ ⣶⣤⣴⡃⠄⣇⣒⡒⠀⠀⡀⠀⡀⣤⣤⡤⠀⡂⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⢰⣾⣿⡷⠂⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣽⡿⢿⡇⡟⣿⣿⣿⣗⡀⡂⠀⠂⣻⢿⠞⡡⠢⣔⣻⣯⣓⣦⣤⡀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢠⣼⢟⡩⠂⠄⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⠿⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣾⣿⣗⣒⣃⣯⣿⣿⡓⣒⣩⣊⣅⣀⣐⣰⣿⡒⡊⣚⣾⣿⣾⣅⢀⣂⣧⣾⡀⢂⣰⣂⣐⣀⣀⠀⡀⠀⠀⠀⠀⠀⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣷⣾⠿⣿⣩⣿⢿⣿⣿⣻⣛⣿⣿⣿⣿⣿⣿⣿⣭⣽⣿⣷⣶⣦⣴⣦⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠙⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⢌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡹⢿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡈⢐⣛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠬⡅⡊⢸⠿⠜⡛⠏⣿⠿⡿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣛⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠌⠀⠈⢈⡀⠀⣁⠀⠄⡪⢻⡽⣚⣵⣯⣭⣭⣍⣉⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣷⣭⣭⣍⣿⣿⣿⣽⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣻⡲⠆⣐⢥⣵⣤⢤⣬⣴⣾⣶⢾⣖⣶⣚⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣟⣻⣿⣿⡿⢿⣟⠫⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⢾⣿⣽⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣉⢁⠉⢛⡣⠈⠑⠀⠘⠉⡱⡝⠂⠀⠉⣵⣶⡯⠿⠻⠽⠍⠐⠝⠉⠒⠐⠉⠉⠉⠘⡿⣿⣛⠻⣍⡻⠿⣟⢧⣟⢁⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⡿⠛⠃⠤⡌⢻⠿⠭⣽⡽⣻⣿⣿⣿⣿⣿⣿⡟⣻⠿⡿⣽ ⠉⠝⡓⣺⣦⡆⡄⠀⠀⢀⢀⣀⣌⡀⠀⠀⣈⣤⡤⢄⣤⠀⠀⠀⠄⠀⠀⠀⠠⠂⠀⡂⠩⠛⣂⠹⡶⠘⡟⠃⢾⣿⣿⣿⣿⣿⣿⣿⡿⣟⣻⣿⡀⢤⠒⢊⠙⠀⠀⠓⠛⠤⠂⢋⣉⣉⣔⣂⡅⡀⠀⠘⢿⢇⣽⣛⣎⡕ ⠁⠀⠟⠿⣿⣇⠈⠀⠀⢀⠀⢀⠝⡛⢀⠀⠁⢿⠞⠙⠛⣱⠴⡲⣶⣤⢀⠀⠀⠀⠂⠁⠀⠀⠈⠀⣠⣴⣦⡀⠀⠙⢿⣿⣿⣿⣿⣿⣿⢿⣿⣯⣭⣵⣶⣶⣶⣶⣶⣿⣿⣶⣮⣿⣿⣿⣟⣿⣿⣿⡿⣿⠿⣿⣿⣿⣿⡿ ⠐⠛⠋⠀⡶⡼⠀⠀⠈⠱⠼⠟⠀⠈⠟⠑⣀⠠⡄⠀⠀⡌⢵⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⢰⣾⣿⣿⣿⣿⣆⠀⠀⠙⠛⠿⠭⢾⣷⣿⣿⣟⡻⣿⢷⢚⡛⢯⡮⠝⣄⢭⣿⡳⣝⡿⢿⠿⠿⠯⠠⢀⠀⠰⠻⣿⠟⠁ ⠤⠀⠀⠀⢠⠁⠀⠀⠠⠷⠆⠀⠑⠀⠀⠀⠃⠀⠀⠀⠀⠈⡀⡇⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣷⣦⣤⡄⣰⢤⡴⠠⢩⡉⡈⣉⠍⢀⠀⠀⣀⡈⣀⣠⣢⣤⣄⡀⠠⠀⠀⠐⠀⣲⣀⣤⡀⠀⠈⡃⠀ ⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⡿⢋⣭⣭⣿⣿⣿⣿⣿⣿⡿⠿⠇⣴⣆⣾⣝⡿⠃⢘⡟⠒⣴⣘⡤⢈⡭⣯⣧⡦⣖⣿⣿⣷⣤⣼⣿⣿⣿⣷⣦⣧⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣑⠆⢠⡤⠀⠀⠀⠀⠀⠸⣿⡿⣿⣿⠉⢻⣿⣿⣿⣫⡟⢰⣶⣻⣶⣼⠶⣾⠃⠺⡀⠿⡻⠾⠿⣞⣷⣿⣽⣿⣿⣿⢿⡯⠅⠈⠁⠀⠐⢿⣿⣿⡿⢿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠀⡀⠘⠀⠀⠀⠛⠃⠀⠈⠀⠀⠀⠀⠀⣶⣿⡇⠀⠉⣠⣾⣿⣿⣿⣿⠙⠃⠈⡉⣱⣤⣵⠆⢈⣹⣂⢻⣦⢹⠄⢀⠈⠈⠛⠛⡴⣾⣶⡾⠦⣰⣄⣀⡀⢠⣾⣿⣿⠿⠐⠚ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡴⣓⢀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠈⢷⣿⣿⣤⣄⣿⣿⣿⣿⣿⣿⡇⠀⠼⣿⣿⣿⡿⣟⢡⣿⣛⡻⢹⡗⠀⠀⠀⠀⠀⠈⢞⣿⡿⢀⡀⣙⣿⡿⢿⠌⠋⠁⢁⣀⣀⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠐⠀⠼⠄⡄⣂⣀⠀⠀⠈⠩⡄⠀⠀⠀⣯⣾⣿⣷⣽⣿⡧⢹⣿⣿⣿⣿⠀⣤⣾⠿⣛⢩⡿⠿⠿⣿⣿⠸⡷⠀⢢⣄⣰⢶⣾⣿⣿⣧⠀⡀⠁⠚⠃⠀⢴⣿⡯⣻⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠈⡲⡄⣠⣭⠛⢥⡦⣾⣧⣽⡇⠀⠀⠀⢿⣿⣻⠟⣻⡉⠁⠈⣿⣿⣿⣿⡷⢹⣭⡔⠋⣶⣤⣶⣾⠟⣰⣶⣷⠀⣈⠉⠀⢄⣴⡾⣿⠗⣰⡤⠂⠀⢠⢀⣼⣿⡞⠟⢉⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠉⠛⠁⠘⠋⠀⣤⡅⠛⠛⢿⡆⠀⠀⠀⣿⣾⣬⠿⣹⡃⠀⣸⣿⣿⣿⣿⠇⠛⠛⢀⡱⠟⡛⣿⣿⣆⣿⣰⣾⡆⠑⢣⣄⣿⡶⣔⠾⠀⠉⠀⠀⠀⠀⢈⣻⣻⠁⠀⠈⣿⣿ ⣀⣀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠚⠈⠀⠀⠘⠝⠀⠀⠀⠙⢿⣶⣶⡾⠿⢾⠟⠛⠋⡍⠀⠈⠀⠄⢼⠁⡔⠡⣿⣿⡿⣿⠿⠿⠀⠸⣜⠇⠿⠀⠌⠀⠀⠀⠀⢀⣠⡀⢿⣿⠋⠀⢠⣾⣿⣿ ⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠒⠀⠐⠑⠁⠀⠀⠀⠀⠀⠀⠀⠠⠴⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠃⢠⣿⠛⠁⠈⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⢀⣟⣰⡿⡁⠀⠀⠸⢿⡿⠛ ⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠺⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠘⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠉⠉⠀ ⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠀⠀⠀⠀⠀⠒⣷⣦⣠⠻⣾⡿⠞⢴⣶⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣹⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠎⢹⡚⢇⠀⣻⣾⣿⡻⠆⠀⠀⠀⠀⠀⠀⣺⡂⠀ ⠛⢙⣓⣛⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢨⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⠀⠇⠀⠸⠿⢿⣿⣧⠀⠂⠀⠁⠀⠁⠀⠙⢃⡄ ⠀⠀⡙⠃⠈⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠭⡃⠀⠀⠀⠀⠀⠀⠈⠈⠈⠀⠀⠀⠃⠀⠀⣀⣤⠐ ⠁⣎⠎⠎⢣⡀⠩⢃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠄⠃⠀⠀⠀⠀⠁⠀⣀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠃⠀ ⠚⠋⠀⠠⠊⠀⠈⠻⠲⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⡒⣀⣤⢴⣿⡢⠝⠆⢏⣠⣤⣤⣀⣠⡄⡂⠰⡆⠀⠀⠀⠀⠀ ⠀⠀⡀⠀⠀⠀⠀⠨⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠖⠤⠥⠜⠃⠀⠥⠴⠁⠠⠉⠉⠻⢿⣻⠿⠏⠸⠅⠒⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠰⠖⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠄⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠆⠂⢤⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠂⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀ ⣶⣤⣴⡃⠄⣇⣒⡒⠀⠀⡀⠀⡀⣤⣤⡤⠀⡂⠀⠀⠀⠀⠀⠀⠀⡅⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢐⣰⣾⣿⡷⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣽⡿⢿⡇⡟⣿⣿⣿⣗⡈⡂⠀⠂⣻⢿⠞⡡⠢⣔⣻⣯⣓⣦⣤⡀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢠⣼⢟⡩⠂⠄⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⠿⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣾⣿⣗⣒⣃⣯⣿⣿⡓⣒⣩⣊⣀⣀⣀⣰⣿⡓⡊⣚⣾⣿⣿⣅⢀⣂⣧⣾⡀⢀⣰⣂⣐⣀⣀⠀⡀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣷⣾⠿⣿⣩⣿⢿⣿⣿⣻⣛⣿⣿⣿⣿⣿⣿⣿⣭⣽⣿⣷⣶⣦⣴⣦⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣫⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠈⣁⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢦⣿⢿⡿⡿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣚⡽⣽⣿⣿⣟⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡙⠃⠩⡽⡨⡲⣴⡷⠈⣻⡿⣿⣿⣿⣾⣭⣯⣯⣽⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢶⢶⣦⢾⣾⣿⣭⣭⣴⣿⣿⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣯⣿⡿⢟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣠⠘⢟⡊⠛⣟⢀⠚⢙⡻⡟⠒⠈⠩⣶⣷⣻⡿⠾⠿⠏⠼⠿⠹⠓⠞⠁⣑⢊⣹⣿⣿⠙⠉⠋⠀⣠⡾⠿⢽⠿⠁⢩⡊⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⡿⠹⠻⣶⣿⣟⣿⣖⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿ ⠿⢻⣿⣿⡭⢄⣀⠀⣄⣁⣀⣝⣁⣀⠀⣈⣤⡤⡥⣤⡄⠄⡠⠄⢀⠠⠠⠀⢆⡜⠛⢬⠃⣦⣀⣠⣴⣛⣥⢿⡆⠃⠘⢉⣴⣿⣯⣟⣻⣿⣿⠨⢴⠛⢧⠂⠀⠀⠛⠟⠷⠄⣛⣋⣉⣟⣟⣋⣠⣙⣛⣿⣿⣿⣯⣵⣮⣳ ⠰⠿⡿⣿⠇⠈⠀⠀⢋⡤⣐⡟⣓⡊⢀⠓⣿⠟⠛⠝⢳⡗⣶⣦⣦⠄⠠⣂⠀⢀⠀⡀⠈⠉⢹⣿⣿⣭⣦⣴⠗⢒⣴⣿⣿⣿⣿⣿⣿⣿⣯⣬⣯⣶⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿ ⠓⠁⠐⣏⠾⠀⠀⠺⠟⡾⠟⠀⡼⠭⢘⣀⡻⣦⠄⢰⡞⣷⣐⣩⢻⠙⠄⠢⢂⠐⠀⢤⠎⣜⢿⣿⣿⣿⡟⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠻⡿⣟⢯⣽⡿⣦⠿⣯⣿⣿⠟⣿⡿⠿⡿⣽⣿⠫⢐⢆⠿⠿⣿⢿⠫⢼ ⠀⠀⢀⢝⡀⠀⠀⢠⣿⠧⢠⡍⠀⠀⠰⠏⠈⠀⠒⠀⢹⡣⡇⠐⠁⠀⠀⠈⠀⠀⡦⠀⡀⣿⣏⣿⣿⣟⣁⣼⡏⢻⣿⣿⢟⠟⣏⠃⠈⡏⣉⣉⡽⣉⡀⡤⣭⣉⣀⣴⣶⣴⡤⡤⠤⢤⠀⢀⡺⡷⣮⣭⣬⡁⣿⣃⡒⠞ ⠀⠀⠀⠸⠀⠀⠀⠠⠂⠀⠀⠀⡍⠀⠈⠐⠀⠀⠀⠆⠰⡁⠁⠁⠀⠀⠐⠀⠀⠀⠀⠈⢱⣴⣿⣿⣿⣿⣿⣿⣷⣨⣿⣿⠟⣿⢿⣷⣆⣾⣿⣿⠟⢻⣿⣿⣾⣿⣷⣦⣴⣿⣷⣷⣿⣿⣿⣿⣄⣿⣿⣿⣿⣿⣷⣿⣾⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⡀⡀⠀⠀⠀⣀⣭⡽⠎⣶⡇⠒⠂⠀⠀⢰⣾⣿⣯⣉⣿⣿⣿⣿⣿⣿⣿⣿⣶⣹⣴⣾⣧⣾⠛⠹⣆⠘⣿⣛⢻⣿⣿⣿⣿⣿⣿⣿⢿⣿⠰⠀⠁⡃⢹⢿⣿⣿⡿⠿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠖⣒⠀⠓⠀⠈⠛⠋⠀⠈⠑⠣⠀⠀⠈⢀⣼⡏⠻⠋⣾⣿⣿⣿⣬⣻⣿⣿⡟⠉⣱⣯⣥⡿⢈⣹⣇⢿⣷⡰⡞⠀⠈⠊⠿⠹⣾⣿⣷⡾⠿⣼⣵⣦⣅⣳⣿⣿⣿⡷⠐⠘⠛ ⠈⢀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠘⠈⢉⣖⡴⢟⠀⠀⢀⠀⠂⠄⠀⢀⠽⠀⠀⣠⡾⡛⠁⠀⠀⣿⣿⣿⣷⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⡫⣿⣟⣹⢿⣯⢙⠀⢀⠀⠐⢌⣇⣿⣿⢁⡄⣸⣿⣿⢿⠟⠋⠁⢀⣠⣀⣴⣔ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠘⠫⠬⡪⠤⠔⣽⣜⣏⠁⣀⡀⠀⠈⠉⡄⠀⠐⣟⠋⢦⡀⠀⠀⠈⠙⢻⣛⣛⡻⠛⠟⡤⣽⡿⢛⡉⣿⡿⠿⣿⣿⠃⢿⠄⣘⣦⣰⣼⡿⣿⣿⣿⢀⠠⠍⠰⠗⠄⣴⣾⡧⣿⣧⣻⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠈⠀⣅⣠⢐⣏⡻⢭⣷⣾⣿⣻⡇⠀⠀⠀⠀⠀⠛⣶⡀⡀⢭⡟⢫⡿⠁⠰⢶⢏⣯⣼⠛⣱⣦⣴⣿⡿⣹⡶⢿⡄⡄⡉⠀⢄⣴⣾⣿⡟⣴⡦⠆⠀⠤⢤⣶⣿⣿⡿⢩⣽⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢾⠟⠻⠛⠘⠏⠒⢀⣭⡻⠻⢿⡀⠀⠀⢰⣂⣀⣤⣾⡇⠳⡀⠃⠈⠀⠀⣀⡀⠘⠛⡋⣿⠾⢛⣿⣿⣷⣿⣥⣿⣿⠩⠟⣤⣾⢵⣶⣾⠆⠉⠀⠀⠀⠀⢀⣿⣿⣏⠀⠈⣿⣿⣿ ⡠⠄⣀⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣸⡗⠂⠀⠁⠀⠀⠀⠀⢿⣿⣿⣿⣿⣶⣾⠰⡒⠐⡠⠎⠈⠀⠆⣻⣏⣰⡇⣾⣿⣯⣿⡿⢿⠀⠀⢗⢿⠾⠃⠛⠁⠀⠀⠀⢤⣠⣔⡹⣿⡟⠁⢀⣽⣿⣿⣿ ⣑⠏⠀⠍⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠠⢠⢀⢐⠼⠃⠀⠂⠎⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡏⡤⠃⠀⠀⠀⠀⠁⠀⠀⠲⠋⢀⣿⡟⠋⠀⣁⠉⠀⠀⡠⠈⠀⠀⠀⠀⠀⠀⠀⢀⣽⣗⡿⡏⠀⠀⠸⢿⣿⣛⢩ ⠀⠒⢀⠀⠀⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠘⠿⡿⠿⠿⠛⢀⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠄⠈⠉⠰⠋⠛⠋⠀⠀⠀⢀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠈⠉⠀⠈ ⡀⠈⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⡶⡄⠀⠀⠀⠀⠀⠤⢴⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⢀⠠⡈⡃⢠⡤⣀⡄⣀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣧⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠈⠛⠆⠠⠀⠀⠀⠀⠀⠀⡷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡶⠌⠆⠂⠀⠀⠚⣿⣿⡆⡟⣷⣿⢟⠳⣾⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⡿⣷⣦⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠷⠙⣟⣿⣀⣸⣿⣿⣻⠧⠒⠄⠀⠀⠀⠀⣠⣷⠀⢚ ⠟⣿⢿⢟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡐⢹⠀⠁⠟⢿⣿⣿⡄⡏⠁⠂⡂⠀⠀⠘⣏⢧⠔ ⠀⢙⠫⠉⠻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠈⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠪⢿⠁⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠓⠇⠀⣰⣷⠄⠐ ⢰⡥⢠⢲⣄⠘⡞⣀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠈⡤⡖⠚⠀⠀⠀⠀⢀⡀⢠⡅⣾⠃⠒⠀⠰⠀⠀⠀⠀⡈⠀⠀⠞⠋⠀⠀ ⠛⠃⠀⠔⠉⠐⠻⠷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠔⡔⢆⣴⣶⣿⣧⠬⠹⠹⣥⣼⣴⣤⣤⣤⣼⠠⣧⠀⠀⡃⠀⠀⠀ ⠂⢀⠀⠀⠀⠀⠀⠏⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠢⠬⠥⠋⠂⠐⠲⠇⠀⠌⠉⠘⠿⠿⠽⠿⠬⠗⠐⠀⠈⠀⠀⠀ ⠀⠈⠀⠀⠀⠀⠀⠠⢭⠓⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠦⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠠⠔⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠄⠀⠐⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⠄⡠⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠄⠠⢤⡤⠄⡄⠀⢠⠀⡤⠤⡀⢠⡀⠀⡄⢠⠀⣄⠀⢠⠀⣠⠤⡀⠀⠀⢀⡤⣄⢀⣠⠄⠀⠀⠤⡤⠄⢠⠀⢠⠀⢠⠀⡠⠤⡀⠀⠀⡠⢤⡀⢠⠀⠀⡄⢠⠀⠀⣤⠀⣤⠀⠀⡄⠀⡤⠤⠀⡤⢄⠀⠀⠀ ⣶⣿⢿⣯⣽⡄⢰⡇⠀⡇⠀⢸⠀⣇⣀⠇⢸⠣⠀⡇⢸⠀⡟⠆⢸⠀⡇⠀⠁⠀⠀⠘⠀⡼⠀⢸⠀⠀⠀⠀⡇⠀⢸⣀⣸⠀⢸⠀⠣⡀⠁⠀⠀⠣⡀⠁⢸⠀⠀⡇⢸⠇⢀⢻⠀⡟⡄⠰⡇⠀⣇⡀⠀⣇⣠⠇⠀⠈ ⣿⣯⣽⣭⢽⠧⢘⡇⠀⣇⠀⣸⠀⡇⠘⡄⢸⠀⢳⡇⢸⠀⡇⠘⣾⠀⡇⠀⣹⠀⠀⢀⠜⠀⠀⢸⠀⠀⠀⠀⡇⠀⢸⠀⢸⠀⢸⠀⡄⠈⡆⠀⠀⡄⠈⡆⢸⠀⢀⠇⢸⠸⡘⢸⠀⡇⢁⡆⠀⠀⡇⠀⠀⡇⢸⠀⠠⣖ ⣽⢿⣍⣽⣿⣮⣬⣅⣤⣌⡉⣁⣤⣡⣄⣁⣬⣠⣄⣁⢈⢀⣁⣤⣌⢤⣈⣉⣈⣀⣀⣈⠉⠉⠀⠈⠀⠀⠀⠀⠁⠀⠈⠀⠈⠀⠈⠀⠈⠉⠁⠀⠀⠈⠉⠁⠀⠉⠉⠀⠈⠀⠁⠈⠀⠁⠈⠀⠀⠀⠉⠉⠀⠁⠀⠁⠀⣲ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣶⣿⣿⣷⣿⢿⣷⣫⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣷⣦⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⢐⣉⠁⣄⣦⣿⣘ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣯⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠁⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⣯⣾⢿⣿⣿⣿⣾⣿⡻⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣻⣟⡙⠭⣋⣿⣟⣻⣟⡉⣟⣻⣿⡿⣿⣿⣾⣿⣶⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⣀⣉⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣾⣿⣿⣿⣿⣾⢷⣿⣿⣿⣟⢿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⣿⣿⣿⣿⢿⣿⣿⣽⣿⣿⣿⣧⣸⣿⣿⣿⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣭⣨⣉⣉⣿⣫⠝⢠⠜⢳⢽⠯⢹⣃⡐⠼⣯⡯⠿⢛⣻⡟⠈⡛⠝⠑⠛⠍⢠⡉⢼⣿⣿⣿⣟⠿⣍⣿⣿⣏⠸⡿⠃⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⣿⣿⡿⠾⣙⣿⣟⣻⢿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⡿ ⢖⠛⢿⣷⣿⣷⡾⡢⣥⣾⣥⡬⢬⣥⢀⡄⣠⣶⣖⣒⣶⣿⡩⡬⠇⠀⠤⡫⠶⣗⡼⢛⡵⠏⡳⣌⡿⣿⡿⠿⣾⣷⣶⡎⢿⡟⣇⣀⣈⣭⣴⣾⣯⢽⣿⠟⣿⣈⠀⣉⣽⣛⣯⣩⣭⣭⣮⣿⣿⣷⣿⣾⣭⣿⣿⣿⣿⣿ ⠁⢀⡻⢿⢿⣿⡣⠀⢈⡭⡥⢊⡽⢩⣽⣢⡄⡽⣟⠏⠛⢫⣿⡻⣻⣷⣷⠶⣖⡁⡤⡚⢄⡓⡨⣅⣴⣾⣿⣿⣿⣿⣿⡏⡃⣿⣿⣿⣿⣿⣿⣿⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢿⢿⣿⣿⣿⣿ ⢐⠟⠋⠑⣻⣿⠃⠀⠙⢓⡼⡿⢃⡰⠛⠉⣑⡾⡳⠧⡠⢽⣽⢧⢷⣻⢷⣑⡒⠩⠩⠁⠜⣟⣛⣼⣻⣿⣿⣿⣿⣿⣿⡇⠀⢹⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⠽⣿⣿⣿⢷⣿⣿⣿⣛⣿⣿⢟⣟⣻⣿⣅⡤⣌⡿⣻⣿⡟ ⣣⡀⠀⠀⣿⡟⠀⢐⡜⠾⠾⠠⠱⢃⣘⡀⢛⣏⢂⣾⠑⢴⣿⣽⡍⠘⠁⢈⢀⠠⠃⠩⠡⣿⣼⠿⠋⠿⣿⣿⣿⣿⣿⣧⠀⣿⣿⣿⣿⠗⣶⣿⣥⣮⣽⣾⣲⣶⣬⡬⢮⢾⣷⣷⣷⣮⣻⣾⣬⣸⣾⣿⣿⣿⣧⣼⡿⣯ ⠋⠈⠀⠀⠼⠇⠀⠄⠴⠚⠑⠀⠙⠘⠄⡩⢆⡉⠄⠉⠓⠈⠃⠤⢕⡈⠁⠌⠀⣨⡅⡁⠤⠉⠛⢈⣉⣡⠨⢿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⢿⣿⣿⡟⠃⣿⣿⣿⣿⣿⣷⣷⣿⣿⣿⣾⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⣦⣔⢁⡀⣤⠀⣤⣬⣭⣿⠓⣽⣿⢓⠚⠈⠀⢀⠀⡀⢀⣠⣤⣶⣟⣛⣻⣿⣿⣿⣿⡿⣿⣷⣿⡻⣿⢛⢻⣤⣻⡿⡟⢿⣿⣿⣿⣿⡿⣿⣿⣿⣿⢗⢓⡠⣀⣛⣿⣿⣿⡿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠐⢈⢬⡕⢫⣝⠋⠉⠊⠋⠛⠉⡀⠈⢙⡒⠂⠀⠈⠀⠀⣀⣼⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣓⣦⣿⣝⣿⣇⣿⡇⢠⠉⠊⢋⣿⢿⣿⣿⠟⣧⣿⣿⣿⣽⣾⣿⣿⠿⠿⠚ ⡲⠁⡠⠂⠀⠀⠀⠐⠀⡀⠀⠀⢀⠖⠡⡬⣺⠭⣟⣗⣶⡑⠀⠑⠰⡀⣀⣴⡏⠀⡄⡀⣄⣼⣿⡝⠻⣿⣿⣿⣿⣿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣺⣷⣭⣿⣹⡯⢧⣀⡀⠀⠫⣼⣻⣿⡏⣥⣤⣽⣿⣿⠿⠋⣉⣀⣠⣤⣴ ⠀⠀⠀⠀⠘⢀⠀⠀⠀⠃⠁⠘⠀⢽⣱⠶⡷⡒⠣⠯⠫⣉⣨⡆⠀⢀⡃⣱⣮⠘⠛⢻⣿⣿⡟⠀⢽⣿⣿⣿⣿⠻⠝⠓⢰⣻⡿⣛⣥⢼⠟⠿⢻⣿⡿⢸⡿⡘⣵⣧⠿⣿⡿⢿⣿⡇⣧⡴⢘⡾⠹⢲⣿⣿⣿⣿⣽⣾ ⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠠⠀⠀⠀⢐⡨⣼⣼⣦⡖⣾⡽⠟⣿⣿⣿⣾⣿⡯⠀⠀⣿⣿⣿⢿⠀⠀⠈⢙⣽⣯⡀⠀⠿⠿⣹⣶⣟⣫⣿⣶⣿⣿⢋⣿⠾⣧⣰⣠⡁⠐⣴⣾⡿⢿⢳⣿⠶⠃⠚⠿⢿⣿⣿⡿⡏⢾⣿ ⣤⢆⠂⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⠟⠛⠛⠁⡛⠉⡁⣤⣿⠏⢛⡿⠀⠀⠀⢪⠭⢭⣭⣷⣤⣶⣿⣿⠟⠃⠠⣠⡀⠛⢛⣹⡟⠛⣽⣿⣿⣿⣯⣾⣿⡯⢻⢷⡾⣿⣿⣿⡏⠈⠂⠂⠀⠀⠀⣺⣿⣿⠁⠀⢸⣿ ⡷⣶⢊⡄⣼⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠘⠒⣿⠋⠁⠀⠄⠀⠀⠀⠈⣿⣿⣿⣿⣿⡿⣏⢹⠂⠠⢜⠁⡈⠘⠪⢿⣡⣾⢸⣿⣿⡿⣿⢻⣿⠀⣺⡿⡗⠟⠘⠋⠀⠀⠀⠐⣦⣶⡾⣿⣿⠏⠀⢤⣿⣿ ⠆⢱⣪⢇⣧⡛⠟⠃⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⡦⢕⠔⠋⠀⠙⠙⠁⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⢈⢀⣠⣾⣾⣿⡆⠀⠈⠛⠑⣸⡿⠛⣁⢀⡌⠁⠀⠸⠇⠁⠀⢀⠀⠀⠀⠀⠀⣨⢿⣾⣿⣧⠠⠀⢺⣿⣿ ⠀⠀⠀⢑⠃⢙⠩⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⢬⠿⠟⠋⠀⠀⠀⠀⠀⠐⠀⠉⠀⠋⠉⠋⠉⠀⠀⠀⢁⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠉⠉ ⣲⣤⡀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡤⠀⠀⠀⠀⠈⣿⣿⣿⣿⡿⠋⠼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠄⠀⠀⠀⠀⣀⣤⡐⢀⣿⣩⣡⣄⡤⣴⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣽⣿⣧⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠈⠛⠋⠁⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⠿⠹⠂⠀⠀⠚⢻⢿⢿⢼⣻⣿⡟⣋⣿⣿⣷⣦⡀⠀⠀⡀⠀⠀⠀⣀⣠ ⣿⣿⣿⣿⣾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡄⠀⠀⠈⢾⠏⣺⡽⢯⣠⣿⣿⣿⡿⢛⡳⢂⠀⠀⠈⠐⣿⣇ ⠛⠛⢋⣟⣹⡥⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠨⠢⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⠿⠇⠀⠸⠻⠿⣿⣧⣺⢉⠉⠇⣠⠇⠀⢻⣿ ⢤⡤⠀⣩⠃⠈⠹⢆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⠁⡆⠂⠈⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣬⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠘⢿⣥⠀⢀⠀⣄⠀⠀⠀⠈⠀⠀⠀⠐⠛⠃⢠⣾⣿ ⠟⠁⣻⡇⠕⢻⡤⠸⣽⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡾⠣⠁⠀⠀⠀⢀⣀⠒⣽⣿⣿⡑⠐⠀⠓⠀⢀⡀⢨⡄⠀⢼⠍⡀ ⠋⠛⠋⠀⠐⠋⠀⠉⢛⣻⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⠲⠽⣥⣶⡾⢿⡓⢋⠋⢫⣶⣷⣶⣤⣴⣶⡏⡼⣇⠀⠸⣇⠁ ⡸⠐⠂⠤⠀⠀⠐⠀⠀⠚⣒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠓⠒⠒⠚⠁⠀⠒⠛⠀⠐⠈⠁⠛⠿⠿⠿⠛⠛⠊⠉⠀⠀⠀ ⠀⠀⢀⠀⠀⠀⠀⠂⠀⠚⠎⠑⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⠻⠯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠀⠀⠀⠀⠀⠖⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠒⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⠴⠔⡒⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣀⣠⣒⢗⣡⣤⡽⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠒⠛⠛⠋⠉⠠⢤⡬⠍⡅⠀⢠⠀⡤⠤⡀⢠⡀⠀⡄⢠⠀⣄⠀⢠⠀⣠⠤⡀⠀⠀⢀⡤⣄⢀⣠⠄⠀⠀⠤⡤⠄⢠⠀⢠⠀⢠⠀⡠⢤⡀⠀⠀⡠⢤⡀⢠⠀⠀⡄⢠⠀⠀⣤⠀⣤⠀⠀⡄⠀⡤⠤⢠⡤⢄⡀⠀⠀ ⣤⣶⣶⣷⣶⡆⢸⡇⠀⡇⠀⢸⠀⣇⣀⠇⢸⠳⠀⡇⢸⠀⡟⠆⢸⠀⡇⢀⡁⠀⠀⠘⠀⡼⠀⢸⠀⠀⠀⠀⡇⠀⢸⣀⣸⠀⢸⠀⠣⣀⠁⠀⠀⠧⣀⠁⢸⠀⠀⡇⢸⠇⢀⢻⠀⡟⡄⢸⡇⠀⣇⡀⢸⣇⣠⠇⠀⡤ ⢿⡿⣻⠿⠯⣋⢸⡇⠀⣇⠀⣸⠀⡇⠘⡄⢸⠀⢳⡇⢸⠀⡇⠘⣾⠀⡇⠀⣽⠀⠀⢀⠞⠀⠀⢸⠀⠀⠀⠀⡇⠀⢸⠀⢸⠀⢸⠀⡄⠈⡇⠀⠀⡄⠈⡆⢸⠀⢀⠇⢸⠸⡘⢸⠀⡇⢁⡆⠃⠀⡇⠀⢸⡇⢸⡀⠐⣶ ⣿⣯⠟⢿⣍⣵⣮⣥⣄⣨⠉⣁⣠⣥⣄⣁⣈⡤⣤⣅⣈⣀⣁⣀⡈⠀⠈⠉⠈⠀⠀⠈⠉⠉⠀⠈⠁⠀⠀⠀⠁⠀⠈⠀⠈⠀⠈⠀⠈⠉⠁⠀⠀⠈⠉⠁⠀⠉⠉⠀⠈⠀⠁⠈⠀⠁⠈⠀⠉⠀⠉⠉⠈⠁⠀⢁⣠⣿ ⣿⣿⣷⣿⣻⣿⣿⣿⣿⣿⣿⢯⣽⣟⣯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣶⣶⣦⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⠀⠀⢀⠇⣠⠞⢼⢹⡳⢈ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣯⣿⣿⣿⢿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠁⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡟⣷⣾⢿⣿⣿⣿⣽⣿⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣫⣛⡙⠭⣉⡿⣿⡻⡟⡏⣟⣿⣿⡿⣿⣿⣶⣿⣶⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⣀⣉⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣾⣿⣿⣿⣾⡾⢷⣾⣿⣿⣟⢿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⣿⣿⣿⣿⢿⣿⣿⣽⣿⣿⣿⣧⣸⣿⣿⣿⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣭⣠⣁⣉⣿⡪⠍⢠⠜⢳⢽⠯⢉⣃⡉⠬⣯⡯⠿⢛⣻⡟⠈⡻⠝⠑⠋⠍⢀⡉⢼⣿⣿⣿⣽⠿⣍⣿⣿⣏⠸⡾⠃⠀⡾⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⣿⣿⡿⠺⢹⣿⣟⣹⢿⣿⣿⣿⣿⢿⣿⠿⣿⣿⣿⣿⣿⣿⡿ ⣒⠛⢿⣷⣻⣷⡾⣢⣥⢾⣥⡤⢬⣥⢀⡄⣠⣴⣖⣒⣶⣿⡁⠤⠇⠀⠄⡣⡲⣇⠴⢛⡵⠏⠱⣌⡿⣿⡿⠿⣾⣷⣶⡆⢿⡟⣇⣀⣈⡭⣴⣾⣯⢝⣿⠟⣣⠠⠀⣉⣭⣛⣫⣉⣭⣬⣮⣿⣿⣷⣿⣶⣭⣿⣿⣿⣿⣿ ⠁⢀⡻⢿⢿⣿⡣⠀⢈⡭⡥⢀⡿⢩⣵⣂⡀⡹⣟⠋⠛⢋⣿⠻⣻⣷⣷⠖⠆⡉⡦⠚⢄⠒⡨⣄⣴⣾⣿⣿⣿⣿⣿⡏⡃⣿⣿⣿⣿⣿⣿⣿⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢿⢿⣿⣿⣿⣿ ⠐⠟⠋⠐⣻⣿⠃⠀⠙⢓⡼⠿⢁⡸⠛⠉⣑⡾⡳⠧⡠⠽⣽⢧⢷⡻⢗⣁⡒⠡⠡⠀⠜⣟⢛⣼⣻⣿⣿⣿⣿⣿⣿⡇⠀⢹⣿⣿⣿⠿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⢷⣾⣿⣿⣛⣿⢿⢟⣟⣻⣿⣅⠤⣌⡟⢻⣿⡟ ⣣⠀⠀⢈⣿⡟⠀⢐⡘⠺⠾⠠⠑⠃⣘⡀⢛⣏⢀⣸⠓⢐⣿⣽⡉⠘⠀⢈⠀⠠⠃⠨⠤⣿⣸⠿⠋⠿⢿⣿⣿⣿⣿⣧⠀⣿⣿⣿⣿⠗⣶⣼⣵⣬⣽⣶⣳⣦⣤⡬⢮⢾⣳⣾⣷⣦⣻⣾⡬⣠⢾⣿⣿⣷⣧⣼⡗⣏ ⠉⠀⠀⠀⠸⠇⠀⠄⠠⠚⠐⠀⠙⠘⠄⠨⢃⡉⠀⠁⠃⠈⠃⠤⢅⡈⡀⠌⠄⠨⡅⡁⠠⠉⠉⢈⣉⣡⠨⢿⣿⣿⣿⣿⣾⣿⣿⣿⡿⣿⢿⣿⡿⡟⠁⣿⣿⣿⣿⣿⣷⣷⣿⣿⣿⣮⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⣄⢁⡀⡄⠀⡄⣬⣭⡿⠓⣽⣿⠛⠊⠀⠀⢀⠀⡀⢀⣠⣤⣶⣟⣉⣻⣿⣿⣿⣿⡿⣿⣷⣿⡻⣿⡑⢛⣤⣻⡿⡟⢿⣿⣿⣿⣿⡿⢿⣿⣿⣿⢗⢑⡠⡀⣛⣿⣿⣿⡿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠐⢀⢪⡕⢫⣔⠋⠈⠊⠋⠙⠁⠀⠈⢙⡖⠂⠁⠀⠀⠀⣀⣼⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣓⣤⣿⣝⣿⣇⣻⡆⠰⠉⠋⢋⣿⣿⣿⣿⠟⣧⣿⣿⣿⣽⣾⣿⣿⠿⠿⠚ ⠲⠀⡀⠂⡀⠀⠀⠀⠀⡀⠀⠀⠀⠖⠁⡨⡨⠥⣟⣗⣦⡀⠀⠐⠐⠀⣀⣴⡏⠀⡄⣀⣄⣼⣿⡝⠻⣿⣿⣿⣿⣿⢿⢿⣿⣿⣿⣿⣿⣿⣯⣺⣷⣭⣿⣻⡏⢧⣀⡀⠀⠫⣼⣻⣿⡏⣥⣠⣽⣿⣿⠿⠋⣉⣀⣤⣤⣴ ⠀⠀⠀⠀⠀⢀⠀⠀⠀⠂⠀⠀⠀⢅⣑⠲⡷⡒⠣⠯⠪⣉⣨⡆⠀⢀⣃⣱⣮⠈⠛⢿⣿⣿⡟⠀⢽⣿⣿⣿⣿⠻⠝⠓⢰⣿⡿⣛⣥⢼⠟⠿⢻⣿⡿⢸⡟⠐⣵⣧⢿⣿⠿⢿⣿⡇⣣⠤⢉⡝⠹⢲⣿⣿⡿⣿⣽⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠨⣠⣸⣦⡖⣮⡽⠟⣿⣿⣿⣾⣿⡧⠀⠀⣿⣿⣿⢿⠀⠀⠉⢙⣽⣯⡀⠀⠛⠿⣹⣶⣟⣫⣿⣶⣿⣿⢋⣿⠾⣧⣰⣠⡁⠐⣴⣾⠿⢿⢡⣷⠶⠃⠚⠷⢾⣿⣿⡿⠏⣾⣿ ⣤⢆⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠟⠟⠛⠛⠁⡛⠉⡀⣤⣭⠏⢛⡿⠀⠀⠀⠪⠭⢭⣭⣷⣤⣶⣿⣿⠟⠃⠀⣠⢀⠛⢛⣹⡞⠛⢝⣿⣿⣿⣯⣾⣿⠯⢻⢷⡾⣿⣿⣾⡏⠈⠀⠂⠀⠀⠀⣺⣿⣿⠁⠀⢸⣿ ⡇⣶⢂⡄⣼⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠈⢒⣿⠋⠁⠀⠄⠀⠀⠀⠈⣿⣿⣿⣿⣿⡿⣏⢹⠂⠠⢖⠁⡈⠘⠪⢿⣡⣾⢸⣿⣿⡿⣿⢻⣿⠀⣺⡿⡗⠟⠘⠋⠀⠀⠀⠐⣦⣴⡾⣿⣿⠏⠀⢰⣿⣿ ⠆⢱⣪⢇⢣⡚⠟⡃⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠖⠆⠔⠔⠋⠀⠘⠙⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⢈⢀⣠⣾⣾⣿⡆⠀⠈⠛⠑⣸⡿⠋⣁⢀⡌⠁⠀⠨⠆⠁⠀⠀⠀⠀⠀⠀⠀⣠⢿⣾⣿⡧⠠⠀⢸⣿⣿ ⠀⠀⠀⢑⠁⢙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⢬⠿⠟⠋⠀⠀⠀⠀⠀⠐⠀⠉⠀⠋⠉⠉⠉⠀⠀⠀⢀⠀⡀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠉⠉ ⣲⣤⡀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡄⠀⠀⠀⠀⠈⣿⣿⣿⣿⡿⠋⠼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠤⠄⠀⠀⠀⠀⣀⣠⠀⢀⣿⣡⣡⣄⡤⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣽⣿⣧⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠈⠛⠋⠁⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠖⠵⠂⠀⠀⠈⠻⣿⡿⢾⢫⣿⡟⣛⣿⣾⣷⣦⡀⠀⠀⠀⠀⠀⠀⣀⡠ ⣿⣿⣿⣿⣾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡄⠀⠀⠈⠾⠇⢺⣽⢿⣠⣿⣿⣿⡿⢚⡳⢂⠀⠀⠀⠀⣿⣇ ⠛⠛⢋⣟⣹⡥⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠨⠢⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣬⣤⠬⠇⠀⠸⠻⠿⣿⣧⣸⢉⠉⠃⣠⠁⠀⢻⣻ ⢤⡤⠀⣨⠃⠀⠙⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠁⡄⠀⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢨⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠘⢿⣅⠀⢀⠀⣄⠀⠀⠀⡘⠁⠀⠀⠰⠛⠃⢠⣾⡿ ⡟⠁⣻⡇⠇⢹⡤⠺⣭⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠁⡾⠃⠁⠀⠀⠀⢀⣀⠒⣽⣻⣿⡑⠐⠀⠃⠀⢀⡀⢨⡄⠀⢼⠍⡀ ⠋⠙⠋⠀⠐⠋⠀⠉⢛⣻⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⠒⠽⣥⣶⡾⢿⡓⠋⠋⢫⣶⣷⣶⣤⣴⣶⡏⣼⣇⠀⠸⣇⠀ ⠘⠐⠂⠤⠀⠀⠀⠀⠀⠚⣒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠠⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠓⠒⠒⠚⠁⠀⠒⠛⠀⠐⠈⠁⠛⠿⠿⠿⠓⠛⠊⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠂⠀⠘⠎⢑⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠻⠯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠀⠀⠀⠀⠀⠖⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠒⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠰⠄⡒⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣀⣠⣒⢗⣡⣤⡽⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠒⠛⠛⠋⠉⠠⢤⡬⠍⡅⠀⢠⠀⡤⠤⡀⢠⡀⠀⡄⢠⠀⣄⠀⢠⠀⣠⠤⡀⠀⠀⢀⡤⣄⢀⣠⡄⠀⠀⠤⡤⠄⢠⠀⢠⠀⢠⠀⡠⢤⡀⠀⠀⡠⢤⡀⢠⠀⠀⡄⢠⠀⠀⣤⠀⣤⠀⠀⡄⠀⡤⠤⢠⡤⢄⡀⠀⠀ ⣤⣶⣶⣷⣖⡆⢸⡇⠀⡇⠀⢸⠀⣇⣀⠇⢸⠳⠀⡇⢸⠀⡟⠆⢸⠀⡇⢀⠁⠀⠀⠘⠀⡼⠀⢸⠀⠀⠀⠀⡇⠀⢸⣀⣸⠀⢸⠀⠣⣀⠁⠀⠀⠧⡀⠁⢸⠀⠀⡇⢸⠇⢀⢻⠀⡟⡄⠰⡇⠀⣇⡀⢸⣇⣠⠇⠀⡤ ⢿⡿⣻⠿⠯⣋⢸⡇⠀⣇⠀⣸⠀⡇⠘⡄⢸⠀⢳⡇⢸⠀⡇⠘⣾⠀⡇⠀⣽⠀⠀⢀⠞⠀⠀⢸⡀⠀⠀⠀⡇⠀⢸⠀⢸⠀⢸⠀⡄⠈⡆⠀⠀⡄⠈⡆⢸⠀⢀⠇⢸⠸⡘⢸⠀⡇⢁⡆⠁⠀⡇⠀⢸⡇⢸⡀⠰⣦ ⣿⣯⠟⢻⣍⣵⣮⣥⣄⣈⠉⣁⣠⣥⣄⣁⣈⡤⣤⣅⣈⣀⣡⣀⡈⠀⠈⠉⠈⠀⠀⠈⠉⠉⠀⠈⠁⠀⠀⠀⠁⠀⠈⠀⠈⠀⠈⠀⠈⠉⠁⠀⠀⠈⠉⠁⠀⠉⠉⠀⠈⠀⠁⠈⠀⠁⠈⠀⠈⠀⠉⠉⠈⠁⠀⢁⣠⣯ ⣿⣿⣷⣿⣻⣿⣿⣿⣿⣿⣿⢯⣽⣟⣯⢿⣿⣿⢿⣿⣿⣟⣿⣿⣿⣿⣿⡿⣶⣶⣦⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⠆⣠⠞⠄⢹⡿⢈ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢿⣿⣿⢿⣿⣼⣿⣷⡿⠯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣤⣭⣿⣟⡷⣿⡿⣯⣾⣿⣿⠿⠻⢿⠿⣿⣿⣿⣿⣷⣾⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣽⣭⣽⣿⣿⣿⣿⣷⣾⣿⡿⣿⣿⣿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡷⣤⣤⣤⣬⣽⣽⣯⡛⣭⣨⣹⢻⣿⢫⣕⡙⠸⢿⣿⠻⠻⠛⡛⢈⢛⡋⠉⢻⢍⢐⣩⢵⣿⣿⣿⣽⢿⣿⣿⡿⠟⠛⢻⡍⢀⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣩⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢿⡿⡓⠟⢿⣿⣿⣿⣽⣈⡤⡬⣧⢽⣿⣭⣤⣄⢤⣼⣶⣶⣿⣶⣭⡵⠿⠚⠦⠌⠖⠿⣒⢍⡯⢟⣨⣬⢻⠏⣡⣶⡄⣿⡍⡩⣵⣿⣿⣿⣿⣿⣿⣿⣿⣥⣿⡿⣿⣃⢥⣉⣿⣝⣻⣛⣭⣭⣭⣯⣿⣿⣾⣭⣿⣿⣿⣿ ⢺⣷⠁⢈⣙⣻⣟⣿⡮⠀⢈⣬⣿⣫⣾⠭⣵⣆⣪⠿⢿⠃⠚⢉⣿⢿⣿⣿⣷⣷⣯⣦⠃⠤⣽⢒⡩⣤⡟⣁⣉⡛⣾⣿⣿⣿⡷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿ ⠫⡣⠊⣛⠃⠙⣻⣿⠃⠀⠙⢗⣛⠟⢫⡸⠻⠛⢭⣿⡻⠧⡦⣷⣿⣟⣿⠟⠯⠞⣽⠲⠃⠡⠽⣾⣟⣅⣠⣿⣿⣇⣿⡛⠹⢋⡋⣻⢻⣷⣿⠿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣿⣿⡿⠿⣿⣿⣿⣿⣛⢻⣿⣿⢟⢾⣼⣿⣿ ⠦⠜⠵⠇⠀⠈⢿⡷⠀⠒⡖⡿⠟⠢⡶⢡⣄⢃⠻⢏⠊⠜⠁⢹⡟⢻⣫⠈⢐⠈⠚⠁⠀⣐⣾⣽⡾⢿⢫⣻⢟⣿⣿⣿⠀⠀⢸⣋⣿⣵⣽⡻⢭⣭⣯⣤⣥⣥⣦⣦⣴⣬⣵⣾⣿⣿⣿⣶⣿⣷⣫⡽⡿⣿⣷⣮⣿⣣ ⡈⠀⠀⠁⠀⠐⢰⠇⠀⠈⡀⠋⠁⠀⠃⠔⡭⢻⡈⠉⡀⠆⢺⠉⠧⢜⣑⢉⢄⣡⢎⢐⡐⣀⡝⡣⠙⢈⢍⡺⣿⣿⣿⣿⣷⣷⣿⡿⢿⡿⢯⣿⣯⣿⣿⣟⠻⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣞⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿ ⠁⠀⢀⠀⠀⠀⠈⢉⠀⢀⠀⠀⠀⡀⡠⡂⡊⢸⣀⠶⣀⣨⢕⢦⣤⣶⡞⡯⣶⣾⠋⡉⠚⡉⡘⡂⢠⣀⠀⢀⣹⣿⣿⣿⣿⣿⢟⣾⣿⣷⣷⡿⡾⣾⡃⢻⣀⠻⣿⡿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⠾⡇⠉⣍⢽⣿⣿⣿ ⠉⠀⣣⠀⠀⡀⠀⠐⠀⠀⠀⠀⠀⠤⠘⢭⠱⣾⡆⢯⣗⡩⢁⠠⠿⡋⠅⠀⠉⣩⡕⠒⢀⢀⢡⢩⠙⢄⣤⣯⣼⡿⣿⣿⣿⣿⣧⣤⣄⣿⣶⣾⣲⣬⣿⣛⣿⣇⣿⡄⣱⠋⠿⠿⣿⣿⣿⣿⣿⡷⣿⣷⣶⣿⣿⣿⣿⣿ ⠘⠈⠁⠠⠰⡀⠔⠀⠀⠀⠀⠀⠀⡀⢁⢥⠤⡀⣼⢽⣿⣵⣅⡒⠀⠄⠩⢖⣠⡜⡏⠀⡆⣄⣤⣀⣬⣁⡿⡛⣫⣿⣿⣿⣿⣿⣿⣭⣭⣽⣿⣿⣏⣶⣿⣯⣿⣿⡿⢏⢁⣀⡠⠻⣼⣻⣿⣟⣹⣠⣹⣿⣿⣿⠟⢋⢉⣀ ⠂⡀⠀⡀⠈⠈⠐⠀⠁⠀⠀⠀⠈⠀⣩⣿⢴⡶⠷⡞⠣⢷⢹⣄⣦⣥⠀⢡⣁⣸⣏⠘⠛⣿⢿⣿⣿⣟⣛⣾⣿⣿⣿⣿⣿⣿⣿⣧⡿⢟⣭⣽⡿⠿⢿⣿⡿⠹⡷⣺⣽⣇⣾⣿⣿⣿⣿⣧⢞⣬⣙⢻⠿⠠⣾⣿⣿⣿ ⡄⠁⠈⢇⢀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠁⠈⡗⢰⣄⣰⣦⡖⣿⡽⠟⣾⣿⣿⣯⣿⣯⠂⠀⠀⠀⢈⣶⣾⢻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣤⣟⣫⣷⣶⣿⣿⣋⣿⢾⣿⣠⣬⡩⠤⣠⣶⣿⣿⢷⣿⡶⠊⠳⣶⣶⣿⣿⣿⣿ ⠁⠶⡒⢜⠄⠠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠭⠻⠟⠋⢋⠁⠟⣈⣡⣮⡼⠛⢻⣿⣿⡀⠀⠀⣴⣿⣿⣏⣿⣿⣿⣿⠟⢱⣿⣿⣏⡛⢛⣹⡿⢛⣿⣿⣿⣾⣿⣾⣿⣯⢻⢷⣴⣿⣷⣾⡟⠈⠝⠂⠀⠀⠀⣺⣿⣿⡏⠀ ⠀⠨⢻⢿⢴⡕⣴⣶⢂⠀⠸⠀⠀⠀⠀⠂⠀⠀⠀⠀⠈⠠⠆⡲⢾⣷⠋⢤⡬⣿⣿⣷⠀⢸⣻⣿⣿⣷⡍⠛⢛⣿⣀⣿⣿⣿⣿⠳⠡⣿⣱⣞⢼⣿⣿⣽⣿⡿⣯⠀⣺⡿⡷⡿⠛⠛⠀⠀⠀⠠⣤⣤⣤⣿⣿⡟⠈⢠ ⠀⠀⠀⢸⠯⡣⡿⠗⡊⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠦⢦⠽⠋⠀⠛⠙⠀⠊⠯⠀⠻⠿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⠀⠀⠸⠛⠁⣼⡿⠛⠁⢉⡌⠃⠀⣹⠜⠋⠀⠀⠀⠀⠀⠀⠀⣁⣿⣿⣿⣇⢀⠈⣼ ⠀⠀⠀⠈⠀⣉⠑⢈⠈⠈⠂⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠝⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⡀⠀⠒⠉⠉⠀⠟⠛⠋⠉⠀⠀⠁⡁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠋⠉⠀⠀⠘ ⢰⣠⣛⣢⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠈⠁⠀⠀⠀⠈⠀⠀⣠⡤⡄⠀⠀⠀⢠⡀⣠⢙⢐⣿⣦⣤⡀⣠⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣾⣿⣿⣷⡈⢀⠀⠀⢄⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡿⠋⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⡳⠂⠀⠀⠚⢿⣿⣿⣾⢿⣿⡿⡻⣿⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣾⣿⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠿⠛⠁⠀⣀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⠀⠈⠸⣿⠋⣻⣻⣇⣼⣿⣿⣿⡿⢒⣶⡗⠁⠀⣂⢨ ⡻⠉⠙⠋⢩⣯⡽⠇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣭⣔⡿⡃⠉⢻⢿⣿⣿⣧⣼⠉⠳⣦⣨⠃⠸ ⣶⣶⣶⡖⡂⣼⡁⣈⠛⣀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⡀⠤⠠⠂⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡅⠀⠀⢀⡀⠀⠀⠁⠛⠉⠀⠀⠼⣿⠄⢀ ⣿⣿⣛⣁⣻⡇⠟⣻⠦⣞⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠪⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⢠⡷⠟⠀⠀⠀⠀⠈⡁⢠⣷⣾⣿⠐⠄⠠⠆⠀⠀⠀⣰⠀⠀⢼ ⠉⠉⠁⠉⠉⠐⠘⠉⠀⠀⢹⣛⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠶⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠶⣴⢯⣤⣶⣾⣿⠬⠟⠛⣯⣴⣦⣤⣄⣤⣼⣇⣾⡁⠀⢻ ⠀⠀⠘⠃⠁⠆⠀⠀⠀⠀⠘⠛⡯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠄⠠⠀⠀⠀⠀⠀⠀⠀⠁⠀⠼⠦⠮⠭⠛⠁⠘⠶⠎⠀⠬⠙⠙⠿⣿⣿⣿⠿⠿⠓⠂⠀ ⠀⠀⠀⠀⢄⣀⠀⠀⠀⠀⠀⠘⠇⠡⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢀⠀⠀⠠⠀⠀⠀⠀⠰⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⠔⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣛⢖⡹⡺⠝⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣀⢀⣀⣠⣤⣤⢴⣭⣯⣵⡶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠋⠋⠉⠉⠉⠁⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠠⢤⡤⠄⡄⠀⢠⠀⡤⠤⡀⢠⡀⠀⡄⢠⠀⣄⠀⢠⠀⣠⠤⡀⠀⠀⢀⡤⣄⢀⣠⡄⠀⠀⠤⡤⠄⢠⠀⢠⠄⢠⠀⡠⢤⡀⠀⠀⡠⢤⡀⢠⠀⠀⡄⢠⠀⠀⣤⠀⣤⠀⠀⡄⠠⡤⠤⢠⡤⢄⡀⠂⢄ ⣤⣴⣶⣶⣴⠄⢸⡇⠀⡇⠀⢸⠀⣇⣀⠇⢸⠳⠀⡇⢸⠀⡟⠆⢸⠀⡇⢀⣁⠀⠀⠘⠀⡼⠀⢸⡇⠀⠀⠀⡇⠀⢸⣀⣸⠀⢸⠀⠣⣀⠁⠀⠀⠧⣀⠁⢸⠀⠀⡇⢸⠇⢀⢻⠀⡟⡄⢰⡇⠀⣇⡀⢸⣇⣠⠇⢠⣇ ⣿⣿⢿⣿⣿⡏⢸⡇⠀⣇⠀⣸⠀⡇⠘⡄⢸⠀⢳⡇⢸⠀⡇⠘⣾⠀⡇⠀⣿⠀⠀⢀⠞⠁⠀⢸⡇⠀⠀⠀⡇⠀⢸⠀⢸⠀⢸⠀⡄⠈⡇⠀⠀⡄⠈⡆⢸⠀⢀⡇⢸⠸⡜⢸⠀⡇⢁⡆⡇⠀⡇⠀⢸⡇⢹⡀⠸⢿ ⣿⣷⣯⣾⣮⢶⣬⣁⣤⢈⣉⣥⣤⣥⣠⣡⣨⣠⣄⣥⣈⣀⠁⠀⠈⠀⠈⠉⠈⠀⠀⠈⠉⠉⠀⠈⠁⠀⠀⠀⠁⠀⠈⠀⠈⠀⠈⠀⠈⠉⠁⠀⠀⠈⠉⠁⠀⠉⠉⠀⠈⠀⠁⠈⠀⠁⠈⠀⠉⠀⠉⠉⠈⠁⢀⠁⢴⣯ ⣿⣿⣉⣿⣿⣿⣿⣿⣿⣿⣛⣿⣼⣿⣿⡯⣿⣿⣻⣿⣯⣿⣭⣷⣦⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⡂⠈⢜⠧⡙⢴⡿⣭⢻ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⣿⣿⢿⣿⣼⣿⣷⡿⠯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣤⣯⣿⣟⡧⣿⡿⣫⢾⣿⣿⠿⠻⢿⣿⣿⣿⣿⣿⣷⣾⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡽⣭⣽⣿⣿⣿⣿⣷⣿⣿⣿⢿⣿⣿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡷⣤⣤⣤⣬⡹⣽⣯⡙⣭⠺⠙⢽⣿⢫⡵⡑⠸⢿⣿⠛⢛⠟⡛⣨⠛⠛⠉⢹⢉⢐⣩⢵⣿⣿⣿⣽⢿⣿⣿⡿⠟⠛⢻⡍⢀⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣩⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡾⡓⠟⢿⣿⣿⣿⣼⣄⡬⡼⣶⢴⣿⣭⣤⣄⢤⣼⡶⣾⣿⣾⣅⣵⠿⠺⠶⠈⡖⠿⣒⢍⡯⢛⢨⣌⢻⠏⣥⣶⡄⣿⡍⡩⢽⣿⣿⣿⣿⣿⣿⣿⣿⣥⣿⡿⣿⣃⡦⣁⣽⣙⣻⣟⣭⣥⣭⣯⣿⣿⣾⣭⣯⣿⣿⣿ ⢺⣷⠀⢈⣙⣻⣟⣿⡮⠀⢈⣬⣿⣫⣾⠭⣵⣦⣮⠿⢿⠃⠛⢉⣿⢿⣿⣿⣷⣷⣿⣦⠃⠥⣽⢒⡩⣤⡟⣁⣉⣛⣾⡿⣿⣿⡿⣿⣿⣿⢿⣿⣿⣿⣿⣷⣷⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿ ⠫⣣⠊⣛⠃⠙⣻⣿⠃⠀⠙⣗⣻⢟⢫⡸⠻⠛⢭⣻⡻⠧⡦⣷⣯⣗⣿⠟⢯⠞⣽⡲⠁⠡⠽⣾⣛⣅⣠⣿⣿⣇⣿⡛⠻⢋⡋⣻⢻⣷⣿⠿⣿⣿⣽⣿⢿⣿⣿⣿⣿⡿⣿⡿⠿⣿⣿⣿⣿⢛⢻⣿⣿⢟⢮⣼⣿⣿ ⠦⠜⠵⠇⠀⠈⢿⡷⠀⠒⡖⡿⠟⠢⡲⢠⣄⢓⡻⠏⠊⡘⠁⢹⣟⢻⣫⠈⢐⠈⠚⠁⠀⣐⣾⣽⣺⢿⠫⣻⢟⣿⣿⣿⠀⠀⢸⣋⣿⣵⣽⠻⢥⣽⣭⣵⣥⣥⣦⣦⣴⣬⣵⣾⣿⣿⣿⣷⣿⣧⣫⡽⡿⣿⣷⣮⣿⣣ ⡈⠀⠀⠁⠀⠂⢰⡇⠀⠈⡀⠛⠁⠀⢂⡔⠭⠽⡈⠈⡀⠆⢺⠩⠧⢜⣕⢙⢂⣡⢎⢐⡐⣠⣙⠋⠙⢈⢍⡺⣿⣿⣿⣿⣧⣷⣿⡿⢿⡿⢯⣿⣧⣿⣿⣟⠻⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿ ⠁⠀⢀⠀⠄⠀⠈⢉⠀⢀⠀⠀⠀⡀⡠⡂⡋⢸⣀⠶⣡⣨⢔⢦⣤⣶⡞⡯⣶⣾⠋⡉⠒⡉⢘⡂⢠⣀⠁⢀⣹⣿⣿⣿⣿⣿⢟⣿⣿⣷⣷⡿⠾⣾⡋⢻⣀⠻⣿⠿⣿⣿⣿⣿⣿⡿⢿⣿⡿⣿⠾⡯⢋⣉⣽⣿⣿⣿ ⠉⡄⡧⡀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠤⠘⢭⠱⣾⡏⢯⣗⡩⢑⠡⠟⡋⠁⠀⠉⢨⡔⠒⢀⠀⢱⢉⠉⢄⣤⣯⣼⡿⣿⣿⣿⣿⣧⣤⣄⣿⣶⣾⣒⣬⣿⣛⣿⣇⣷⡆⢑⠋⠻⢿⣿⣿⣿⣿⣿⡷⣾⣷⣶⣿⣿⣿⣿⣿ ⠘⠌⠁⠀⠰⡀⠔⠀⠀⠀⠀⠀⠂⡀⢁⢭⠥⠀⣼⢽⣟⣥⣥⡒⠂⠄⠹⢖⣠⡝⡋⠀⡆⣄⣄⣀⣮⣅⡿⡻⣫⣿⣿⣿⣿⣿⣿⣭⣭⣽⣿⣿⣏⣴⣿⣯⣿⣿⡿⣏⢐⣀⡠⠛⣼⣻⣿⣟⣭⣠⣹⣿⣿⣿⠟⠋⢉⣄ ⠂⡀⠀⡀⠀⠈⠐⠀⠁⠀⠀⠀⠈⠀⣩⣿⢔⡴⠷⡚⠣⢷⢹⣄⣦⣥⠀⣡⣁⣰⣏⠘⠛⣿⢿⣿⣿⣗⣛⣾⣿⣿⣿⣿⣿⣿⣿⣧⣿⢟⣭⣽⡿⠿⢿⣿⡿⠹⡷⡺⣽⣇⣾⣿⣿⣿⣿⣧⢟⣥⣙⢻⠿⠠⣾⣿⣿⣿ ⡄⠁⠈⢇⢀⠀⠁⠀⠀⠀⠀⠀⠀⠁⢁⠈⡗⢐⣌⣲⣦⡖⣿⡽⠿⣾⣿⣿⣭⣿⣯⠂⠀⠀⠀⢈⣶⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣴⣝⣫⣷⣶⣿⣿⣏⣿⢾⣿⣠⣨⡩⠤⣤⣷⣿⣿⠳⣿⡶⠊⠓⣶⣶⣿⣿⣿⡿ ⠉⠶⡒⢜⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠥⠻⠟⠋⢋⠁⢟⣉⣡⣯⡼⠛⢻⣿⣿⡀⠀⠀⣴⣿⣿⣏⣿⣿⣿⣿⠟⢱⣿⣿⣏⡛⢛⣹⡿⢛⣿⣿⣿⣾⣿⣾⣿⣯⢻⢷⣶⣿⣷⣿⡟⠘⠝⠂⠀⠀⠀⣾⣿⣿⡏⠀ ⠀⠨⢻⢿⢴⡗⣴⣶⢠⠀⠸⠀⠀⠀⠀⠂⠀⠀⠀⠂⠨⠠⠆⠲⣺⣷⠋⢦⣬⣿⣿⣷⠀⢸⣻⣿⣿⣷⡍⠛⢛⣿⣀⣿⣿⣿⣿⠳⠡⣿⣡⣞⢼⣿⣿⣿⣿⡿⣯⠀⣺⡿⡷⡿⠛⠛⠀⠀⠀⠠⣤⣤⣤⣿⣿⡟⠈⢠ ⠀⠀⠀⢸⢯⣣⡛⠟⡊⣀⠀⠀⠀⢀⠢⠀⠀⠀⠀⠀⠀⠠⠮⢄⠝⠋⠀⠛⠛⠀⠪⠯⠀⠻⠿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⡿⠀⠀⠸⠛⠃⣼⡿⠛⠁⢉⡈⠃⠀⣹⠞⠋⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣇⢀⠈⢼ ⠀⠀⠀⠈⠀⣩⠁⢈⠈⠀⢂⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠝⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⡀⠀⠒⠃⠉⠀⠟⠛⠋⠁⠀⠀⠀⡁⠀⠀⠀⠀⠀⠀⠀⠐⠉⠉⠙⠋⠉⠁⠀⠴ ⢡⣠⣛⣢⡄⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⠉⠈⠈⠁⠀⠀⠀⠀⠀⢀⣤⡀⡄⠀⠀⠀⢀⠀⡠⢙⢀⣾⣦⣤⡀⣀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣾⣿⣿⣷⡈⢀⠀⠀⠄⠈⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡿⠋⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡝⡳⠂⠀⠀⠻⠿⣿⣿⣾⢿⣿⡿⡻⣿⣿⣧⡆⠀⠀⠀⡀⠀⠀⠀ ⣿⣿⣿⣿⣾⣿⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠿⠛⠁⠀⣀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⠀⠈⠈⣿⠉⣿⣻⣇⣸⣿⣿⣿⡿⢅⣶⡔⠁⠀⣀⢸ ⡻⠉⠙⠋⢩⣭⡽⡧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣬⣖⣿⠇⠈⠻⢿⣿⣿⣧⣾⠋⠓⡤⣸⠃⠸ ⣶⣶⣶⡖⡂⣼⡁⡀⠛⢄⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡀⠤⠠⠆⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠻⣿⡇⠀⠀⢀⡀⠀⠀⠉⠛⠉⠀⠀⠼⢿⡄⢀ ⣿⣿⣛⣁⣻⡇⠟⣻⠦⣘⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠪⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢠⡷⡟⠀⠀⠀⠀⠉⡁⢠⣷⣾⣿⠐⠄⠠⠆⠀⠀⠀⣸⠀⠀⢼ ⠉⠉⠁⠉⠉⠐⠘⠉⠀⠀⢹⣛⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠴⠶⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠡⠶⣴⣯⣤⣶⣿⣿⠬⠟⠛⣯⣴⣦⣤⣄⣤⣼⣇⣾⡁⠀⢹ ⠀⠈⠘⠃⠁⠆⠀⠀⠀⠀⠘⠚⡬⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠄⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠦⠮⠥⠛⠁⠘⠲⠮⠀⠬⠝⠙⢿⣿⣿⣿⠷⠿⠓⠂⠈ ⠀⠀⠀⠀⢄⣀⠀⠀⠀⠀⠀⠘⠇⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢀⠀⠀⠠⠀⠀⠀⠀⠰⠂⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⠁⠀⠁⠀⠀⠀⠈⠀⠀⡀⠐⠔⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣙⢖⡹⡚⠝⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣀⢀⣀⣠⣤⣤⢴⣭⣯⣵⡶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠋⠋⠉⠉⠉⠁⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠠⢤⡤⠄⡄⠀⢠⠀⡤⠤⡀⢠⡀⠀⡄⢠⠀⣄⠀⢠⠀⣠⠤⡀⠀⠀⢀⡤⣄⢀⣠⡄⠀⠀⠤⡤⠄⢠⠀⢠⠀⢠⠀⡠⢤⡀⠀⠀⡠⢤⡀⢠⠀⠀⡄⢠⠀⠀⣤⠀⣤⠀⠀⡄⠀⡤⠤⢠⡤⢄⡀⠂⣄ ⣤⣴⣶⣶⣴⠄⢸⡇⠀⡇⠀⢸⠀⣇⣀⠇⢸⠳⠀⡇⢸⠀⡟⠆⢸⠀⡇⢀⡉⠀⠀⠘⠀⡼⠀⢸⡇⠀⠀⠀⡇⠀⢸⣀⣸⠀⢸⠀⠣⣀⠁⠀⠀⢧⣀⠁⢸⠀⠀⡇⢸⠇⢀⢻⠀⡟⡄⢰⡇⠀⣇⡀⢸⣇⣠⠇⢠⣇ ⣿⣿⢿⣿⣿⡏⢸⡇⠀⣇⠀⣸⠀⡇⠘⡄⢸⠀⢳⡇⢸⠀⡇⠘⣾⠀⡇⠀⣽⠀⠀⢀⠞⠁⠀⢸⡇⠀⠀⠀⡇⠀⢸⠀⢸⠀⢸⠀⡄⠈⡇⠀⠀⡄⠈⡆⢸⠀⢀⡇⢸⠸⡜⢸⠀⡇⢁⡆⡇⠀⡇⠀⢸⡇⢹⡀⠸⢷ ⣿⣷⣯⣾⣮⣷⣬⣁⣤⢌⣉⣥⣤⣥⣠⣡⣨⣠⣄⣥⣈⣀⠁⠀⠈⠀⠈⠉⠈⠀⠀⠈⠉⠉⠀⠈⠁⠀⠀⠀⠁⠀⠈⠀⠈⠀⠈⠀⠈⠉⠁⠀⠀⠈⠉⠁⠀⠉⠉⠀⠈⠀⠁⠈⠀⠁⠈⠀⠉⠀⠉⠉⠈⠁⢀⠁⢴⣮ ⣿⣿⣉⣿⣿⣿⣿⣿⣿⣿⣛⣿⣼⣿⣿⡯⣽⣿⣻⣿⣯⣿⣭⣷⣦⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡂⠌⢜⠧⡙⣴⡷⣭⢻ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣏⠽⣻⢿⣿⣿⣿⣛⣻⣿⡻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⣿⣿⣿⢿⣶⣿⣿⣯⣿⣽⣿⣝⣥⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣯⣩⡷⠟⡻⠟⢟⠿⡷⡿⣿⡿⡹⣿⣿⣿⢿⡛⡻⡿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⣿⣿⡟⠿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣽⣿⣿⣛⣟⣿⣶⣾⣿⣗⣕⣳⡼⡟⠛⠻⢾⠫⡫⡻⢫⣋⣹⣿⣭⢲⣤⣅⡀⣙⣺⣯⣦⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣯⣵⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⡻⣏⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿ ⣿⣯⣝⣟⠿⠗⣽⣿⣿⣿⣏⠿⠛⢛⣟⢻⣿⣷⣾⣷⢶⢻⣿⣿⣿⡿⣥⣺⣝⣛⣉⡉⠿⣫⢳⣿⣽⣿⣵⠷⡝⠿⢿⢿⣟⣿⡟⣒⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣽⣨⣫⣽⣿⣿⣯⣭⣭⣿⣿⣯⣿⣯⣾⣿ ⣻⠙⣸⣿⢜⣵⡿⢽⣯⣿⡿⠀⣴⣷⣿⣽⡿⣑⣽⣿⣿⣿⣿⣏⢁⣼⣿⣟⣿⢿⣿⣿⣿⣏⣯⣷⡛⢉⣯⣤⣷⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿ ⢛⡂⡜⣿⢐⣃⡈⠤⣸⡿⠁⡐⢪⣯⣽⣍⢲⣻⢉⡝⣳⡟⢝⠿⣺⣺⣿⣻⡿⣿⡿⡶⣾⡿⡧⣏⣹⣿⣟⣾⣿⣿⣿⣿⣿⣫⠿⣿⡇⠿⣟⣿⣿⣻⢿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⢿⠿⢿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿ ⣳⢧⡶⠵⠾⡛⢀⠘⢿⡟⠕⠠⠾⣿⣩⣃⢿⡣⡳⢿⣾⢻⠥⢐⣗⣹⡽⣻⣷⢂⣄⣋⡘⡏⣔⡫⢾⣿⣸⣿⣷⣟⢻⢿⠍⣋⣇⣏⣪⣻⣿⣿⣾⣟⣻⣶⣽⣿⣿⣿⣿⣷⣮⣬⣮⣿⣿⣿⣿⣷⣴⣾⣿⡿⣿⣿⣿⣮ ⢵⠿⢆⠅⡐⡆⠈⠈⠎⡏⠄⠀⠨⢿⡬⠾⠉⡨⠛⡯⠻⠋⡀⢝⣝⣄⣿⣻⢼⣜⢥⢤⣼⣝⡿⣵⣾⠩⡁⣭⡵⣿⣶⡜⣥⡊⢿⣿⣿⡿⠻⡿⡿⣿⡷⣿⣿⣟⠋⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿ ⠲⢡⢤⠜⢉⢔⠂⠀⣍⠦⠡⠀⠐⠄⡓⠐⣧⢇⡸⢿⣿⣳⣼⣬⡩⣻⣾⣿⡿⡛⡿⣿⠛⠡⠛⢿⣨⡽⣾⣾⣡⣰⣥⣥⣾⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣏⢟⣧⠿⣿⡿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣻⣉⢙⣿ ⠲⡐⢜⣇⣤⢷⡱⢕⣬⢁⢀⠣⠈⠠⡪⢉⢠⣼⣙⣶⣟⣻⣾⣵⢬⠵⢙⠵⣥⡄⠈⡼⡍⠅⠱⡀⡢⠜⢀⣰⣷⡿⠞⠻⣿⡏⠉⠁⢸⣦⣴⣾⣶⣾⣷⣄⣿⣏⣿⣿⣿⣗⣨⠄⡽⠿⢻⣿⣾⣿⣿⣿⣼⣿⣿⣯⣷⣿ ⡁⡀⡍⡉⢪⠉⢳⢿⠲⢠⠀⠀⠊⣌⡡⠶⢿⣩⠏⣾⣞⣛⡽⣿⣷⢆⢢⢊⢸⡡⡾⣱⡏⢀⣎⣧⣱⣧⣿⣷⠏⢾⡷⠺⠀⢘⡀⢠⣼⣾⣿⣿⣿⣿⣟⣷⣿⣿⣿⣿⣟⣍⡙⢄⣱⢾⣿⣿⣿⣿⣱⣈⣻⣿⣿⣿⡿⠛ ⢭⣈⡮⠱⢸⠈⠟⡬⠂⠀⠐⠀⠢⠈⠙⡌⡕⣟⡯⣻⠭⢍⡚⠛⣼⣶⣶⣖⣒⣮⣧⣽⣗⠈⠹⢿⢿⣿⡿⢋⣿⣿⣶⣿⣷⡈⠡⠓⣻⣿⡿⣟⣭⣿⠿⡿⢿⣿⣿⠹⡿⣰⣿⣮⣼⣾⣿⣿⣿⣿⠈⣧⡟⣿⣿⡦⣴⣾ ⠚⠷⠏⠈⡐⠪⣀⠔⡀⢀⠡⠀⠐⠋⠉⢈⢀⠀⢤⣿⣶⣿⣷⠟⣿⣟⡙⡿⢿⣿⣾⣿⣯⠁⠀⠀⠀⠀⠈⠈⢹⣿⣿⣿⣿⣿⣆⠹⡟⣿⣶⣟⣻⣿⣶⣿⣿⣛⣿⢿⣿⣦⣫⡩⠤⣭⣷⣿⣿⡿⣿⣿⡅⠝⣶⣦⣿⣿ ⠀⠈⠐⠹⣿⣷⣲⠴⢀⣦⣄⠀⢰⠀⡭⠅⠐⠀⠠⡛⠉⢈⡤⡁⠬⡤⢼⣿⣞⠈⢿⣿⣼⡀⠀⠀⠀⠘⢁⣤⠈⠉⣿⣿⣿⣿⣿⣆⡈⠛⣓⣽⡿⣛⣿⣿⣿⣾⣯⣾⣿⠿⢿⢷⣶⣯⣿⣷⡾⠘⠛⠆⠀⡀⡁⢻⣿⣿ ⡀⠀⠰⢈⢫⣻⢵⣻⣿⡿⡾⣀⠀⠘⠕⠀⠀⠁⠙⠅⠰⠉⠀⢉⠠⡯⣿⣿⢁⣬⣴⣿⣿⡧⠀⠀⠀⢀⣄⢄⢀⣠⣾⣿⣿⣿⣿⣿⢁⠴⠳⣿⣵⣿⢾⣿⣿⣽⣿⢿⡟⠁⣻⣾⣷⣟⢿⠟⠁⠀⠀⢠⣤⣤⣵⣿⣿⡿ ⣬⣴⠂⠀⠐⠛⠫⠿⣄⡗⠺⣽⠦⠈⠑⠄⠀⠀⠀⠀⠀⠀⠱⢻⠑⠿⠛⡇⠈⠃⢁⣨⠿⠗⠀⠀⠀⣠⣶⣶⣷⣿⣿⣿⣿⣿⡟⠑⠉⠀⠀⠽⠛⢁⣿⡿⠛⠀⣩⡸⢛⠉⣭⡞⠻⠁⠀⠀⡀⠀⠀⠀⢛⣿⣿⣿⣏⠁ ⠉⠛⠖⡄⣤⡀⠈⠃⠬⠦⠀⠋⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠐⠀⠀⠀⠥⣷⣷⡉⠀⠠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠰⠔⠛⠉⠰⠛⠛⠋⠉⠀⠠⢘⠁⢌⠠⢀⠀⢠⡄⢀⠄⢝⠙⠛⠛⠻⠂ ⣴⣤⣼⣶⣶⣿⡆⢀⠀⠀⠀⢀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡹⣯⣿⣷⠀⣀⠽⣿⣿⣿⣿⣿⣿⣓⡤⢤⡀⠀⠀⠀⠁⠀⠀⣀⡭⡀⠀⠀⠀⠀⢀⣐⣰⣿⣑⣿⣿⣣⡀⣄⣄⡀⠀⠀⠀⢀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣦⣑⠀⠀⠁⠀⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠉⠈⠁⠉⠇⡾⢿⣠⣬⣿⣿⣿⣿⣿⣿⠋⠀⠁⠀⠀⠀⠀⠀⠀⣲⣿⠿⡝⠀⠂⠀⢟⣿⣿⣿⡿⣿⣿⡿⡿⣿⣿⣧⣄⠀⡀⢤⠄⠀ ⣭⣭⣿⡿⣿⣿⢿⣿⣿⠆⠀⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠿⢿⣿⣿⣿⠿⠋⠉⡀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠁⠀⠀⠀⣀⠀⠀⠉⣻⣿⢫⣟⣿⣎⣹⣿⣿⡿⣿⣾⣄⡢⠀⠀ ⣎⡉⣉⣀⣉⣀⠚⠿⡟⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⡄⢂⢀⠴⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⠀⠀⠀⠀⠀⠀⠀⠈⠀⠐⠁⠀⠀⠀⠈⠀⠈⢀⣉⣭⢺⣽⡎⠙⣿⣿⣿⣿⡇⣾⠿⢹⡆⣴ ⣿⣷⣿⣿⣿⠇⣶⡿⡴⣦⢐⣾⡆⠀⠀⠀⠀⠀⠆⠀⠀⠀⢁⠀⠀⠀⠀⠀⠘⠁⢑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢐⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⣿⡁⠀⠀⢀⠁⠀⠉⠛⠟⠙⢑⣥⣾⣿ ⣿⣷⢿⡿⠱⠶⠿⠉⢡⠿⠋⢾⣿⣭⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠸⡿⠧⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣾⢾⠛⠀⠀⠀⠀⢋⠀⣰⣷⣿⡇⠦⠄⢰⡀⠀⠠⠀⡟⠃ ⠀⠄⠀⠰⣤⡤⡆⡀⠀⠀⠀⠀⢷⣾⠇⢥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠙⠿⠆⠀⠀⠀⠀⠀⠀⠀⢀⠈⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⢶⣖⣖⣴⣶⣿⡧⠽⠿⢿⣣⣴⣤⣀⣀⣌⣿⢨⣷⠀ ⠀⠁⠈⠁⠊⠐⠀⠁⠀⠀⠀⠀⢀⣴⠷⡅⠠⠀⠀⠀⠀⠀⠄⠢⠂⠀⠀⠀⠂⠀⠀⠀⠀⢠⠀⠀⠀⠀⣤⣤⣴⣶⣿⣿⠇⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⠤⠭⠽⠋⠋⠱⠴⠋⠠⠝⠛⢿⣿⣿⣿⣿⣾⣿⠶ ⠀⠀⠀⠀⠀⢀⢳⡶⡆⠀⣀⠀⠀⡈⢀⠁⠀⡀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣐⣠⠱⠑⠀⠁⠛⠻⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠀⠀⠠⣀⡀⠥⠀⠒⠠⠦⠀⠐⡀⠀⠄⣀⡠⠀⠄⠀⠐⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⢄⠠⣖⣭⣤⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⢴⠶⣀⣲⣮⠷⠙⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣪⠼⠶⠶⠚⠛⠛⠛⠋⠛⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠄ ⠀⠀⠀⠀⠀⠠⢤⡤⠄⡄⠀⢠⠀⡤⠤⡀⢠⡀⠀⡄⢠⠀⣄⠀⢠⠀⣠⠤⡀⠀⠀⢀⡤⣄⢀⣠⡄⠀⠀⠤⡤⠄⢠⠀⢠⡄⢠⠀⣠⢤⡀⠀⠀⣠⢤⡀⢠⠀⢠⡄⢠⡀⠀⣤⠀⣤⠀⠀⡄⠀⡤⠤⢠⡤⢄⡀⢠⣯ ⣿⣿⣿⣿⣷⣂⢸⡇⠀⡇⠀⢸⠀⣇⣀⠇⢸⠳⠀⡇⢸⠀⡟⢆⢸⠀⡇⢀⣉⠀⠀⠘⠀⡼⠀⢸⡇⠀⠀⠀⡇⠀⢸⣀⣸⠀⢸⠀⢧⣀⠁⠀⠀⢧⣀⠁⢸⠀⠀⡇⢸⠇⢀⢿⠀⡟⡄⢸⡇⠀⣇⡀⢸⣇⣠⠇⠐⣿ ⣿⢿⣿⣿⣿⠟⢸⡇⠀⣇⠀⣸⠀⡇⠘⡄⢸⠀⢳⡇⢸⠀⡇⠘⣾⠀⡇⠀⣿⠀⠀⢀⠞⠁⠀⢸⡇⠀⠀⠀⡇⠀⢸⠀⢸⡀⢸⠀⡄⠈⡇⠀⠀⡄⠈⡇⢸⡀⢠⡇⢸⠸⡘⢸⠀⡇⢁⡆⣇⠀⡇⠀⢸⡇⢹⡀⢐⣽ ⡿⣺⣵⣶⣷⣿⣌⣡⣰⣌⣉⣥⣦⣥⣀⣁⣈⣠⣤⣁⣈⢀⠁⠀⠈⠀⠈⠉⠈⠀⠀⠈⠉⠉⠀⠈⠁⠀⠀⠀⠁⠀⠈⠀⠈⠁⠈⠀⠈⠉⠁⠀⠀⠈⠉⠁⠀⠉⠉⠀⠈⠀⠁⠈⠀⠁⠈⠀⠉⠀⠉⠉⠈⠁⢀⠁⢨⣿ ⣿⣟⣹⣿⣿⣿⣿⣟⣿⡿⣯⣿⣽⣿⣿⣟⣿⣿⣿⣿⣛⣿⠷⣢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠠⢨⠅⣑⢠⣩⣌⣙⢾⣿⢯ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣋⠽⢻⠛⣿⣿⣿⣿⣻⣿⣻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⣿⣿⣿⢿⣾⣿⣿⣯⣿⣽⣿⣝⣽⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣯⣩⣷⠟⡻⠟⢟⠿⡿⡿⣿⡿⡹⣿⣿⣿⢿⡛⡻⡿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⣿⣿⡟⠿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣽⣿⣿⣟⣛⣿⣶⣾⣿⣏⣕⣳⡼⡟⠛⠻⠿⠫⡋⡿⢻⣋⣹⣯⣭⢲⣤⣍⡁⣙⣫⣯⣦⣾⣿⣿⣿⡿⣿⣿⣿⣿⣿⣻⣿⣯⣵⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⡻⣟⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⠿⣿⣿ ⣿⣯⣜⣟⠟⠟⣽⣿⣿⣿⡋⠿⡛⢛⠟⢻⣿⣷⣾⣷⣶⢻⣿⣿⣿⡿⣵⣺⣝⣛⣋⡉⣟⣫⢳⣿⣽⣯⡴⠷⣝⠿⢿⢿⣟⣿⡏⣒⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣜⣨⣫⣝⣿⣟⣯⣭⣭⣿⣿⣿⣿⣯⣾⣿ ⣿⠙⣸⣿⢼⣵⣿⢽⣯⣿⡿⠀⣴⣿⣿⣽⡿⣑⣽⣿⣿⣮⣯⣏⢃⣾⣿⣟⣿⢿⣿⣿⣿⣏⣯⣷⡙⢉⣯⣤⣷⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿ ⠛⡆⡌⣿⢐⣃⡈⠤⣸⡿⠁⡐⣪⣯⣽⣍⢲⣻⢊⡕⢳⡟⢝⠟⣚⣺⣿⣿⡿⣿⡻⡶⣿⣿⡯⣟⣱⣿⣟⣾⣿⣿⣿⣿⣿⣯⠿⣿⡇⠿⣟⣿⣿⣻⢿⣿⣿⣽⣿⣿⣟⣿⣷⣿⣿⢿⠿⢿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣧ ⣳⣦⣶⠴⠾⣛⣀⠘⢿⡟⠕⠠⠾⣿⣉⣃⢿⡣⡣⢿⣟⢻⠡⢐⣗⣹⡽⡻⣷⢢⣄⣋⡘⣎⣐⡫⢾⣿⣸⣿⣷⣟⢻⢯⠍⢋⣕⣏⣺⣻⣿⣿⣿⣟⣻⣷⣽⣾⣿⣮⣿⣷⣮⣮⣦⣿⣿⣿⣿⣷⣴⣾⣿⡿⣿⣿⣿⣮ ⢵⠯⢆⠄⡐⡆⠠⡈⠎⠎⡐⠀⠨⠿⡬⠞⠩⡈⠛⡯⠻⠛⠀⠍⣙⢍⣿⣳⢬⣌⢤⣤⣼⣝⡟⣵⣾⠭⡁⡭⣱⣿⣶⡼⣥⡚⢿⣿⣿⡿⠿⡻⡿⣿⡧⣿⣿⣟⠋⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿ ⠰⣡⣤⠜⢈⣔⠂⠈⣍⠠⠡⠀⠀⠄⡓⠐⣧⢇⡰⣿⣿⣳⣾⣬⡭⣻⣾⣿⡿⡛⡿⣿⠙⡡⠛⢿⣨⡽⣺⣮⣥⣨⣥⣥⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⢛⣧⠿⣿⡿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⡻⣉⢙⣿ ⠲⡐⡜⣇⢮⢷⡱⢕⣮⢁⢂⠣⠈⠠⡫⢉⢠⢼⣛⣾⣟⣻⣾⣷⠌⠕⢹⠳⣭⠄⠘⡼⡍⠅⠡⡀⡨⠔⢀⣲⣷⡿⠞⠻⣿⡏⠉⠀⢸⣦⣴⣾⣶⣾⣿⣄⣽⣏⣿⣿⣽⣗⣨⠄⡽⠿⢻⣿⣾⣿⣿⣿⣼⣿⣿⣯⣶⣿ ⡀⡠⡉⠋⢊⠉⢛⣳⠪⠁⡠⠀⠈⣌⡁⠶⣿⣩⠟⣼⣞⣛⡽⣿⣷⢄⣡⠈⢾⡨⣼⣴⡏⢀⣎⣥⣵⣧⣿⢷⠏⢾⣷⠚⠀⢘⡂⣠⣜⣾⣿⣿⣿⣿⣟⣷⣿⣿⣿⣿⡟⣍⡙⢄⡡⢾⣿⣿⣿⣿⢑⣌⣻⣿⣿⣿⡿⠛ ⢅⣈⡬⠑⢸⠌⠟⡬⠀⠀⠀⠀⠠⠏⠃⡌⡕⣞⡯⣻⠭⢍⣚⠋⣾⣦⣷⣖⣒⣾⣧⣽⣷⠈⠹⠿⢿⣿⡿⢋⣿⣿⣶⣿⣷⡈⠠⠓⣻⣿⡿⣟⣭⣽⠿⡿⢿⣿⣿⠹⡿⣰⣿⣾⣼⣾⣿⣿⣿⣿⠈⣧⡟⣿⣿⡦⣴⣿ ⠚⠷⠏⠈⠒⠪⣀⠜⡄⢀⠡⠀⠐⠀⠉⢈⢀⠠⣤⣿⣶⣿⣷⠟⣿⣟⡙⡿⢿⣿⣾⣿⣯⠁⠀⠀⠀⠀⠈⠈⢹⣿⣿⣿⣿⣿⣆⠹⣟⣿⣶⣟⣻⣿⣾⣿⣿⢛⣿⢿⣿⣦⣩⡩⠤⣭⣷⣿⣿⡿⣿⣿⡄⠜⢾⣤⣿⣿ ⠀⠀⠐⠹⣿⣷⣲⠴⢀⣦⡄⠀⢰⠀⡨⠅⠈⠀⠠⡛⠉⢀⡤⡁⡮⡬⢴⣿⣞⠈⢿⣿⣼⡀⠀⠀⠀⠘⢁⣤⠈⠉⣿⣿⣿⣿⣿⣆⡈⠛⣓⣽⡿⢛⣿⣿⣿⣾⣯⣾⣿⠿⢿⢷⣶⣯⣿⣷⡾⠘⠛⠆⠀⠀⡁⢻⣿⣿ ⡀⠀⠰⢀⠫⣻⢵⣻⣿⠿⢾⡀⠈⢸⠔⠀⠀⠁⠻⠅⠰⠉⠀⢉⠠⡿⣿⣿⢁⣬⣴⣿⣿⡧⠀⠀⠀⢠⣥⢄⢀⣠⣾⣿⣿⣿⣿⣿⢁⠴⠳⣿⣵⣿⢾⣿⣿⣿⣿⢿⡟⠁⣻⣾⣷⣟⢿⠟⠁⠀⠀⢠⣄⣤⣵⣿⣿⡿ ⣬⣵⠀⠀⠐⠛⠫⠾⣴⡕⠸⣏⠆⠀⢀⠀⠈⠀⠀⠀⠀⠀⠱⢻⠑⠟⠛⡇⠈⠃⢁⣨⠾⠗⠀⠀⠀⣠⣶⣶⣷⣿⣿⣿⣿⣿⡟⠑⠉⠀⠀⠽⠛⢁⣿⡿⠛⠀⣩⡸⢓⠉⣽⡾⠻⠁⠀⠀⠀⠀⠀⠀⢙⣿⣿⣿⣏⠁ ⠉⠛⠖⡀⣤⡀⠐⠃⠯⠆⠀⠋⠂⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠠⠐⠀⢀⠀⠵⣷⣦⡉⠀⠠⣾⣿⣿⣷⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠰⠶⠛⠉⠰⠛⠛⠋⠉⠀⠀⢚⡀⢌⢠⢀⠀⢢⠄⢀⠄⢝⠙⠛⠛⠻⠂ ⣴⣤⣾⣾⣶⣿⡆⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡹⢫⣿⣷⠀⣀⠼⣿⣿⣿⣿⣿⣿⣑⡤⢤⡀⠀⠀⠀⠁⠀⠀⣠⡭⢠⠀⠀⠀⠀⢀⣀⣨⣿⣑⣿⣿⣳⡈⣄⣄⡁⠁⠀⠀⢀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣦⣑⠀⠀⠀⠀⠶⠀⠀⠀⠀⠀⠀⠀⠀⠁⢀⠀⠀⠀⠀⠀⠁⢈⠁⠈⠧⡾⢿⣠⣬⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⢲⣾⠿⡟⠐⠀⠀⢟⣿⣿⣿⡼⣿⣿⡿⡿⣿⣿⣧⣄⠀⡀⢀⠀⠀ ⣭⣭⣿⡿⣿⡿⢿⣿⣿⠆⠀⠀⠀⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠿⢿⣿⣿⣿⠿⠛⠉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⣀⠀⠀⠉⣻⣿⣫⣿⣿⣎⣹⣿⣿⣿⣿⣦⣦⣦⠀⠀ ⣊⡉⣉⣀⣉⣀⠚⠿⡟⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠐⡄⠂⢀⡴⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⠀⠀⠀⠀⠀⠀⠀⠈⠀⠐⠁⠀⠀⠀⠉⠀⠀⢀⣩⣭⣺⣿⡎⠙⣿⣿⣿⣿⡅⣾⠿⢻⣆⣴ ⣿⣷⢿⣿⣿⠇⣶⡿⡴⣦⣃⣾⡆⠀⠀⠀⠀⠀⠆⠀⠀⠀⠁⠀⠀⠀⠀⠀⠘⠁⢑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢐⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⣿⡁⠀⠀⢀⡀⠀⠉⠛⠟⠙⠑⡧⣾⣿ ⣿⣷⢿⡿⠱⠶⠿⠉⢡⠿⠋⢾⣿⣭⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠸⣿⠧⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣾⢾⠛⠀⠀⠀⠀⢋⠀⣰⣷⣿⡇⠦⠄⢰⡀⡀⠀⠈⡟⠃ ⠀⠄⠀⠰⣤⡤⡄⡀⠀⠀⠀⠀⢗⣾⠇⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠙⠿⠆⠀⠀⠀⠀⠀⠀⠀⢀⠈⠠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠶⢶⣖⣖⣴⣶⣿⡧⠽⠿⢿⣣⣴⣤⣀⣀⣌⣿⢠⣷⠂ ⠈⠁⠈⠁⠊⠐⠀⠁⠀⠀⠁⠀⢀⣴⠷⠅⠠⠀⠀⠀⠀⠀⠄⠠⠂⠀⠀⠀⠂⠀⠀⠀⠀⠠⠀⠀⠀⠀⣴⣤⣴⣶⣿⣿⠇⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⠤⠭⠽⠋⠋⠵⠴⠍⠠⠝⠛⢿⣿⣿⣿⣿⣾⣿⠶ ⠀⠀⠀⠀⠀⢀⠳⣶⡆⠀⣀⠀⠀⡈⢀⠁⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⣀⣠⠹⠑⠀⠁⠛⠻⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠀⠂⠠⣀⡀⠥⠀⠂⠠⠦⢀⠐⡀⠀⠄⢀⡠⠀⠄⠀⠐⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⢄⠠⣒⣯⣤⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⢴⠶⣀⣲⣮⠷⠑⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣪⠬⠶⠶⠚⠛⠛⠛⠋⠛⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠄ ⠀⠀⠀⠀⠀⠠⢤⡤⠄⡄⠀⢠⠀⡤⠤⡀⢠⡀⠀⡄⢠⠀⣄⠀⢠⠀⣠⠤⡀⠀⠀⢀⡤⣄⢀⣠⡄⠀⠀⠤⡤⠄⢠⠀⢠⡄⢠⠀⡠⢤⡀⠀⠀⡠⢤⡀⢠⠀⠠⡄⢠⡀⠀⣤⠀⣤⠀⠀⡄⠀⡤⠤⢠⡤⢄⡀⢀⣯ ⣿⣿⣿⣿⣷⣂⢸⡇⠀⡇⠀⢸⠀⣇⣀⠇⢸⠳⠀⡇⢸⠀⡟⢆⢸⠀⡇⢀⡉⠀⠀⠘⠀⡼⠀⢸⡇⠀⠀⠀⡇⠀⢸⣀⣸⠀⢸⠀⢧⣀⠁⠀⠀⢧⣀⠁⢸⠀⠀⡇⢸⠇⢀⢿⠀⡟⡄⢸⡇⠀⣇⡀⢸⣇⣠⠇⠐⣾ ⣿⠿⣿⣿⣿⠟⢸⡇⠀⣇⠀⣸⠀⡇⠘⡄⢸⠀⢳⡇⢸⠀⡇⠘⣾⠀⡇⠀⣿⠀⠀⢀⠞⠁⠀⢸⡇⠀⠀⠀⡇⠀⢸⠀⢸⡀⢸⠀⡄⠈⡇⠀⠀⡄⠈⡇⢸⡀⢠⡇⢸⠸⡜⢸⠀⡇⢁⡆⣇⠀⡇⠀⢸⡇⢹⡀⢐⣿ ⡿⣺⣵⣶⣷⣿⣌⣡⣰⣌⣉⣥⣦⣥⣀⣁⣈⣠⣤⣁⣈⢀⠁⠀⠈⠀⠈⠉⠈⠀⠀⠈⠉⠉⠀⠈⠁⠀⠀⠀⠁⠀⠈⠀⠈⠁⠈⠀⠈⠉⠁⠀⠀⠈⠉⠁⠀⠉⠉⠀⠈⠀⠁⠈⠀⠁⠈⠀⠉⠀⠉⠉⠈⠁⡀⠁⢨⣿ ⣿⡟⣹⣿⣿⣿⣿⣟⣿⡿⣿⣿⣽⣿⣿⣟⣿⣿⢿⣿⣛⣿⠷⣢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠠⢨⠅⣑⢨⣩⣍⣙⢿⣿⢯ ⢿⣿⣿⣿⣿⣿⠿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⣡⣿⣿⣯⣿⣾⣿⢮⣿⣿⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⠟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡛⣿⣿⡟⣷⣶⣭⣽⣎⣛⣿⣉⡿⢯⡿⡻⣽⡿⢟⢦⡹⣽⣿⢿⡿⡿⢿⠿⣿⠿⠛⠿⡿⠛⣽⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣍⡿⣿⡿⣷⣷⣿⠿⣿⣿⣿⣿⣿⣜⣷⣻⣟⣩⣽⣓⣣⣫⣯⣧⡽⠽⣾⣷⡷⣶⢗⡴⢆⢠⣽⣿⢿⣿⣿⣟⢿⢿⣿⣿⢿⣿⣾⣿⢢⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⡿⣿⢾⣿⣿⣿⣟⣿⣾⣿⣿⣿⣿⣿⣿ ⡿⢾⠿⣿⣿⡏⢀⣱⣿⣿⣿⣿⣜⡊⣣⣾⣥⣿⣿⣛⣿⠽⣿⣿⢿⢿⡿⣿⣿⣷⣶⣥⣮⣯⣝⣮⣫⡫⣷⣾⣟⡿⣙⣛⣻⣿⣿⣿⣗⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣣⣬⣶⣭⣿⣯⣽⣶⣾⣿⣿⣿⣿⣿ ⡄⠪⠪⣀⡯⣍⣒⠟⠟⡹⣿⣿⠃⣼⢿⠿⢿⢿⣁⣽⣿⢿⣞⣯⣿⣔⣴⣿⣿⣤⣿⣿⣿⣵⣿⣾⡏⠑⣉⣽⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢲⢈⢾⣿⢏⣾⠖⣙⢾⣿⡇⢧⣷⢽⡿⣷⣼⣽⠪⣾⢼⣿⣹⡷⣿⢏⣿⣿⣷⣛⢿⡫⡟⣽⣿⢏⣥⢿⣟⣿⣷⢿⣿⣿⣿⡿⠿⣫⣿⡼⣿⣽⣿⣿⣻⢿⣿⣿⣿⣿⣿⡿⠿⡿⢿⢿⣻⣿⣿⣯⣽⢿⡟⣿⣿⣿⣻ ⡑⣶⣾⡟⡭⠜⣘⠋⡄⢹⢿⠁⠍⢲⣵⢗⡆⠹⢁⣿⣛⣷⠼⡏⢧⢳⡾⣿⣿⡻⠯⣟⢟⢛⡷⣼⠅⣝⢽⣯⣿⢿⣾⠯⣿⣞⡀⣶⣿⣟⣯⣿⣿⣿⣯⣟⠿⣿⣾⣾⣿⣿⣿⣿⣶⣶⣞⡿⢿⣿⣿⢶⣿⣧⣿⣟⣿⢿ ⠌⠻⣿⠡⠡⡎⠊⠀⠠⡐⡀⡄⢄⠀⡑⣢⣷⠞⡀⠍⢝⣽⣭⣏⣸⣰⣹⣯⢿⣳⣶⣷⣺⣿⣿⡿⣸⢿⠸⡽⠛⠻⡻⣿⣿⢻⣶⣙⣿⣿⣿⣏⣻⣟⣹⣿⣿⣿⣿⣏⢫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾ ⠁⢔⡪⢻⣅⢬⣡⣃⠪⣲⠀⡇⠀⡀⢽⢎⡮⢦⣦⣥⣟⡽⣿⣿⣿⣳⡯⣿⡿⢿⠊⠿⢿⣇⣇⣤⠠⣤⣶⣃⡔⣂⣵⣿⣾⣿⣿⣿⡿⠿⠿⠿⢿⡿⠿⣿⡿⣯⣝⢿⣜⡻⣿⡯⣿⢿⣿⣿⣿⡿⢿⣿⣿⣿⢿⢟⣿⣯ ⡰⠀⠑⡯⢊⠛⢮⣴⣔⢧⠃⡄⠄⠊⠬⢸⠭⠯⡵⣽⢫⢭⣷⣯⢿⡖⡚⣔⠱⣇⣺⠬⢧⣷⡜⠙⠳⡑⠍⣡⣶⠿⣿⣿⣿⣿⡿⣁⠀⣀⡮⣴⣷⣿⣿⣿⣵⢯⣯⣼⣿⣷⣿⣟⢶⢻⡿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯ ⠀⠠⢆⣶⣕⠬⣅⠚⢎⣎⢽⠭⠀⠀⠂⠎⠛⣅⣞⡽⣥⣿⡭⣼⣽⣻⡾⠯⡂⠒⠩⢿⣯⣻⠀⢾⣷⣮⣾⣾⣿⣿⣿⣿⣿⣫⠠⣬⠠⣶⣽⣿⣿⣿⣿⣿⣿⣿⣯⣿⣻⣿⣗⣿⣡⡬⠾⣯⣿⣿⣿⣟⣭⣼⣿⣿⣿⣿ ⠀⠐⣼⣼⣭⣓⡉⠈⡐⡊⠉⠿⠀⠀⡡⠱⡚⣺⣻⢟⣝⡓⣒⣤⡭⣿⣿⣿⣻⣯⣿⡿⣾⣿⠀⠀⠚⡿⠿⠿⢳⣿⠻⡻⣿⠿⡱⠓⣩⣽⣿⡿⢻⣽⣶⠿⢻⣟⣿⣿⡏⣿⣷⣿⣿⣮⣿⣿⣿⣿⣿⣇⣿⣾⡿⣿⠿⡗ ⠀⠀⠙⠿⣶⣵⣦⢱⠀⡤⡄⠁⠀⠀⢠⠪⠡⢴⡀⣹⣯⣿⡿⠿⢗⣽⠿⡧⣛⣻⡿⣿⣿⣿⡄⠀⠀⠀⡢⣖⡈⠚⣴⣈⣷⢲⠄⠠⠙⠛⣿⣿⣿⣭⣿⣿⣿⣿⡿⣽⡿⣿⣟⣷⣯⠖⢮⣶⣿⡿⣿⣻⣿⡾⠖⠿⣷⣾ ⣀⠀⠀⠀⠉⢽⢿⣿⣣⡜⣵⣠⡀⠀⠇⠀⠒⠁⢡⣽⣅⢁⣝⠶⠢⠍⣷⣾⣿⣿⣄⠿⢿⣧⣧⠀⠀⠀⠜⢙⢼⠖⠃⢺⡿⡟⡷⢂⣷⣾⠭⣫⢽⣿⢋⣯⣿⣿⣿⣿⣷⣿⣿⢿⡿⣶⣾⣷⣷⣿⠗⠉⠳⡄⠠⣀⠴⣿ ⣿⠶⣬⡀⠁⢻⣼⢿⣧⣻⡭⢿⣻⡆⠀⠝⠁⢸⢀⠘⠟⠸⠓⢠⡀⣆⣻⣿⣿⢂⣲⢿⡏⣿⣿⠀⠀⢀⠀⢴⠚⠂⠀⢄⠾⢨⠴⡷⢊⣭⡘⠟⢿⣽⣿⢿⣿⣿⡿⣿⣿⣿⡃⣸⣿⣿⣿⠿⠛⠋⠀⠀⠠⣤⣴⣽⣿⣿ ⠯⣿⣾⣷⣄⠀⠐⠉⣟⡻⢟⠝⣓⢟⡀⠀⠟⠄⠀⠀⠀⡀⠂⠀⠈⡣⠝⠡⠋⠈⠃⢘⣿⠎⣿⠀⢑⠲⠴⡁⡢⠦⡤⠀⠀⠁⠀⠈⠏⠉⠀⢰⠸⠛⡋⣼⡿⠟⣁⣀⣤⠉⡉⢩⣟⠋⠀⠀⡄⡀⠀⡠⢐⢌⣿⣿⣿⣿ ⡴⠇⠘⢹⣟⣕⣦⣄⠈⠀⠩⣈⠘⣋⢄⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠈⠀⢈⡆⠐⢀⢽⣿⣧⢃⠀⠃⣠⣾⣿⣿⣿⣿⣶⣄⠂⠀⠀⠀⠠⡀⠒⠘⠙⠉⠀⠛⠛⠋⠁⠀⠈⠓⣁⠀⠀⣓⠡⠊⠀⠁⢠⠈⠋⢛⠿⠛ ⣿⣿⣯⣷⣿⣿⣿⣿⡍⢬⡄⠐⢏⢞⢯⠄⠀⠀⠀⠈⠈⠂⠐⠈⠀⡂⠀⠂⢐⠴⠊⢸⢋⣿⣿⡆⢂⠀⠁⠛⠛⢿⣿⣿⣿⣿⣷⡄⠀⠀⠐⠈⠀⠀⢠⣴⣥⠄⠀⠀⠀⠀⣀⣚⣵⡾⣷⣿⣍⣒⣤⣀⡦⢃⠀⠀⠀⠀ ⣾⠽⠿⣟⣿⣿⣿⣿⣿⣿⡇⠀⠘⠀⡊⠃⠀⠀⠀⠀⠀⠀⠀⢀⠐⠠⢆⡋⠀⠈⢁⠄⠁⣴⣇⠀⠀⣴⣶⣶⣦⣴⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⡲⠿⠿⠿⠻⠐⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⡀⠄⡀⣀ ⣿⣿⠿⡿⠏⠻⠟⢋⣿⣻⣟⡠⠀⠈⠀⠀⠈⠀⠀⠀⢀⠀⠈⠐⠀⠀⠈⠐⠀⠈⠆⠀⢠⡻⣿⣦⣀⠽⢿⢿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠁⠀⠠⠠⠀⠀⢐⡄⠀⠉⣻⣿⡫⣿⣿⣧⣡⣿⣿⣿⣿⣷⣶⣦⡊ ⣶⣻⣦⣠⣶⣴⣶⠬⣭⡃⡈⢿⣦⡄⠀⠀⠀⠀⠀⠀⠀⠁⠒⠀⠀⠀⠀⠄⠀⠀⠆⡂⡀⣎⠀⢻⠝⠀⠐⠛⠋⠉⠉⠉⠀⡀⠀⠀⠀⠀⠀⠀⠀⡠⠀⠈⠀⠀⠀⠠⠀⠀⢁⣠⣮⣆⣿⡏⠉⢻⣿⣿⣿⣯⣼⢟⢻⡦ ⣿⡿⣿⣿⣿⠿⣉⣻⡵⡿⢿⣴⢼⣧⡄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠠⡀⡁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣧⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣀⡄⣒⣀⠀⠀⠀⠻⣿⡇⠀⠀⢀⡈⠈⠈⠋⠛⠟⠘⣚⣩ ⠿⠟⠛⠋⠛⡁⠋⡉⠐⠐⠛⠁⠉⢻⡿⡧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠭⠔⡀⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣆⢄⡶⠤⠀⠀⠀⠀⠀⠀⠈⣿⡿⠟⠀⠀⠄⠀⢋⡁⢴⣷⣾⣿⠲⠦⠰⣆⢀⠀⠅⣿ ⠀⠀⠽⠀⠤⠽⠟⠁⡂⠀⠀⠠⠀⠙⢹⣧⠌⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠅⡀⢀⠀⠆⠀⠀⢀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠗⠖⠾⣯⣴⣶⣿⣿⠽⠿⠻⣿⣴⣤⣄⣀⣼⣻⢗⣿ ⠐⠀⠀⠀⠀⡀⠀⣤⣀⣀⡀⠀⠀⠀⠚⠇⠥⢀⢀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠐⠀⠀⠀⠹⠿⠿⠁⠀⢀⣀⣠⣤⣶⣶⡖⠐⠂⠂⠀⠀⠀⠀⠂⠀⠀⠐⠐⠛⠲⠶⠟⠋⠛⠸⠲⠧⠠⠭⠻⠿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠙⠛⠳⢒⠆⢰⡀⠀⠐⠀⠡⡀⠄⡀⠀⠀⠀⠂⠀⠀⠀⡀⠀⠀⢀⠀⣸⣦⠤⠀⠠⡄⢸⣻⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠐⠀⠑⠋⠀⠁⠁⡀⢔⠉⠀⣑⠕⠒⠀⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠠⣀⡀⠈⠙⢛⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣈⣲⠜⢷⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠙⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣀⠠⣀⣠⣠⣤⣤⣦⣤⢾⣭⣭⣾⡶⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⠂⠉⠉⠉⠁⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢁⢊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣀⠠⡀⣄⠌⣠⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢂⠈⠌⠝⠹⠦⢧⢣⢴⢿ ⣴⣖⣶⣦⣤⠠⢤⡤⠄⡄⠀⢠⠀⡤⠤⡀⢠⡀⠀⡄⢠⠀⣄⠀⢠⠀⣠⠤⡀⠀⠀⢀⡤⣄⢀⣠⡄⠀⠀⠤⡤⠄⢠⠀⢠⡄⢠⠀⣠⢤⡀⠀⠀⡠⢤⡀⢠⠀⠠⡄⢠⡀⠀⣤⠀⣤⠀⠀⡄⠠⡤⠤⢠⡤⢄⡀⢰⣿ ⣿⣿⣿⣿⣿⣦⢸⡇⠀⡇⠀⢸⠀⣇⣀⠇⢸⠳⠀⡇⢸⠀⡟⣆⢸⠀⡇⢀⣉⠀⠀⠘⠀⡼⠀⢸⡇⠀⠀⠀⡇⠀⢸⣀⣸⡂⢸⠀⢧⣀⠁⠀⠀⢧⣀⠁⢸⠀⠀⡇⢸⠇⢀⢿⠀⡟⡄⢸⡇⠀⣇⡀⢸⣇⣠⠇⠀⡿ ⣟⡽⣿⢿⣞⡡⢸⡇⠀⣇⠀⣸⠀⡇⠘⡄⢸⠀⢳⡇⢸⠀⡇⠘⣾⠀⡇⠀⣿⠀⠀⢀⠞⠁⠀⢸⡇⠀⠀⠀⡇⠀⢸⠀⢸⡇⢸⠀⡄⠈⡇⠀⠀⡄⠈⡇⢸⡀⢠⡇⢸⠸⡜⢸⠀⡇⢁⡆⣇⠀⡇⠀⢸⡇⢹⡀⠸⣿ ⣻⡿⣿⣟⣛⣿⣨⣡⣴⣌⡉⣡⣄⣡⣤⣥⣬⣤⣤⣡⣌⣀⡁⠀⠈⠀⠈⠉⠈⠀⠀⠈⠉⠉⠀⠈⠁⠀⠀⠀⠁⠀⠈⠀⠈⠁⠈⠀⠈⠉⠁⠀⠀⠈⠉⠁⠀⠉⠉⠀⠈⠀⠁⠈⠀⠁⠈⠀⠉⠀⠉⠉⠈⠁⠀⠁⣴⣻ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣻⣿⣾⣿⣿⣏⣿⣿⣾⣿⣿⡻⡿⣳⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡒⠁⠁⠀⣐⣅⣼⡜⣯⢴⣾ ⢿⣿⣷⣿⣿⣿⠿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⣥⣿⣿⣿⣯⣾⣿⢮⣿⣿⣻⣿⣿⢟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣛⣿⣿⡟⣵⣶⣭⣮⣞⣛⣿⣉⡿⢭⡿⡻⣽⡿⢟⣦⠹⣽⣿⢿⡿⡿⢿⠿⣾⢿⠛⠿⡿⠛⣽⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣍⡿⣿⡿⣷⣷⣿⡿⣿⣿⣿⣿⣿⣿⣷⣻⣟⣩⣽⣓⣳⣫⣯⣧⡽⠽⣾⣷⡷⣶⢷⡴⢦⣢⣽⣿⢿⢿⣿⣟⢿⢿⣿⣿⢿⣿⣾⣿⣦⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣟⣿⣾⣿⣿⣿⣿⣿⣿ ⡿⣾⠿⣿⢿⡇⢈⣱⣿⣿⣿⣿⣜⡊⣣⣾⣥⣿⣿⣛⣻⠽⣯⣿⢿⢿⡿⣿⣿⣷⣶⣥⣮⣿⣝⣯⣣⡋⣷⣾⡟⡻⣛⣛⣻⣿⣿⣿⣗⣯⣿⣿⣿⣿⣿⣿⣿⣿⡿⣾⣿⣷⣻⣿⣣⣬⣶⣭⣿⣯⣽⣶⣾⣿⣿⣿⣿⣿ ⡆⠪⡪⣀⡿⣍⣒⠟⠟⡹⣿⣿⠃⣼⢿⠿⢿⢿⣁⣽⣿⢻⣾⡯⣿⣔⣴⣿⣿⣤⣿⣷⣿⣵⣿⣾⡏⠑⣉⣽⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣲⢈⢾⣷⢯⣼⠖⡙⣺⣿⡇⢧⣷⢹⢿⣷⣽⣽⠪⣼⢼⣿⣹⡷⣿⣏⣿⣿⣿⣛⢿⡫⡿⣽⡿⢏⣤⢿⣟⣿⣿⢿⣿⣿⣿⠿⠿⣫⣽⡸⣿⣽⣿⣿⣻⢿⢿⣿⣿⣿⣿⡿⠿⡿⢿⢿⣻⣿⣿⣯⣽⢿⡟⣿⣿⣿⣻ ⡵⣶⣾⡟⡭⠜⡘⠋⡄⢼⢽⠁⠅⠐⣵⢗⡆⠹⢃⣿⣛⣷⠼⡏⢥⢳⡾⣷⣿⡻⠯⣟⢟⢚⡷⢼⢅⣝⣽⡯⣿⢿⣾⠿⢿⣞⣀⣶⣿⣟⣭⣷⣿⣿⣯⣟⢿⣿⣾⣶⣿⣿⣿⣿⣶⣶⣾⡿⢿⣿⣷⢶⣿⣧⣿⣞⣿⣿ ⠈⢻⣿⠑⠡⡊⠊⠀⠀⠐⡁⡤⠄⠀⡑⡢⣷⠞⡈⠍⣜⣵⣭⣏⣸⣰⣿⣭⢿⣢⣶⣷⣺⣿⣿⡿⣸⢟⠸⡽⠻⠻⡳⡿⣿⣻⣶⣝⣿⣿⣿⣏⣚⣟⣽⣿⣿⣿⣿⣏⢫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾ ⠁⢐⡶⢻⣅⢬⣡⣃⠪⣰⠂⡇⠀⡁⢽⢎⡆⢦⣦⣥⣿⡽⣿⢿⣿⣳⡭⣻⡿⠿⠊⠿⠿⣇⣗⣤⠠⣤⣶⣋⡔⣒⣵⣿⣾⣿⣿⣿⡿⠿⠿⠿⢿⡿⠿⣿⡿⣯⣝⢿⣌⣻⣿⡏⣿⢿⣿⣿⣿⡿⢿⣿⣿⣿⢿⢛⣿⣯ ⡰⠀⠁⡯⢂⢛⢎⣴⣔⢧⠃⡄⡄⠊⠬⢸⠭⢯⡵⣽⣯⢽⣿⣭⢿⡔⡚⣔⠥⡇⣺⠬⢗⣷⡜⠙⠳⡑⠍⣡⣶⠿⣿⣿⣿⣿⢿⢁⠀⣀⡮⣴⣷⣿⣿⣿⣽⢯⣯⣼⣿⣷⣿⣟⢦⢻⠿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯ ⠀⠠⢄⣶⣕⠬⣅⠚⢎⡜⢽⠭⠀⠀⠢⠎⠗⣅⣾⡽⣥⣿⣭⣴⣿⣻⡞⠯⡂⠒⠩⢿⢯⣻⠀⣾⣷⣮⣾⣾⣿⣿⣿⣿⣿⣫⠠⣬⠠⣴⣽⣿⣿⣿⣿⣿⣿⣿⣯⣿⣻⣿⣷⣿⣡⡬⠶⣯⣿⣿⣿⡟⣽⣼⣿⣿⣿⣿ ⠀⠐⢼⣼⡩⡑⠉⠌⡀⠊⠉⠿⠀⠀⡡⠱⡚⣾⣻⢟⣝⡓⣒⣤⡭⣿⣿⣿⣿⣯⣿⡿⣾⣿⡀⠀⠚⡿⠿⠿⢳⣿⠻⡻⣿⠟⡱⠗⣩⣝⣿⡿⢻⣽⣶⠿⢻⣟⣿⣿⡏⣿⣷⣿⣾⣮⣿⣿⣿⣿⣿⣧⣿⣾⡯⣿⠿⠗ ⠀⠈⠙⠻⣼⣵⣦⢳⠀⡤⡀⠀⠀⠀⣠⠪⠡⢴⡉⣹⢫⣿⡿⠿⢗⣽⠿⡧⣛⣻⡿⣿⣿⣿⡄⠀⠀⠀⡢⣢⡈⠃⣥⣸⣶⠃⠆⠠⠹⠛⣿⣿⣿⣭⣿⣿⣿⣿⡿⣽⡿⣿⣟⣷⣯⠖⢾⣶⣿⡿⣿⣻⣿⡾⠖⠿⣷⣾ ⣀⠀⠀⠀⠋⢽⣿⣿⣣⡜⣵⣠⡀⠀⠇⠀⠒⠀⢡⡽⣅⢁⣝⠶⠢⠍⣷⣾⣿⣿⣄⠿⢿⣧⣧⠀⠀⠀⠌⢙⢬⠖⠋⢾⡿⡟⡷⢂⣷⣦⠭⣫⢽⣿⢋⣯⣿⣿⣿⣿⣷⣿⣿⢿⡿⣶⣾⣷⣷⣿⠗⠉⠳⠄⠠⣀⠰⣿ ⣿⠶⣮⡀⠁⢫⣼⣿⢧⣳⡭⢿⣯⡇⠀⠝⠁⢸⢀⠘⠟⠹⠗⢠⡠⣄⣻⣿⣿⢂⣲⢿⠏⣿⣿⠀⠀⠀⠀⢔⠚⠂⠀⠄⡞⢨⠴⡿⢉⢬⡸⠟⢿⣽⣿⢿⣿⣿⡿⣿⣿⣿⡋⣸⣿⣿⣿⠟⠟⢋⠀⠀⡠⣤⣴⣭⣿⣿ ⠯⣿⣞⣷⣄⠀⠀⠙⣟⡻⢿⠕⣚⢟⡀⠀⠗⠄⠀⠀⠀⡀⠂⠐⠈⡣⠝⠡⠫⠉⠃⢱⣿⡎⣿⠀⠁⠲⠤⡁⡢⠦⠤⠀⠈⠁⠀⠈⠏⠁⠀⠰⠸⠛⡛⣼⡿⠛⣁⣀⣤⠙⡉⢨⡟⠋⠑⠀⠀⡀⠀⠠⠐⢌⣿⣿⣿⣿ ⡴⠯⠐⢹⣏⣕⣦⣄⠈⠀⠩⣈⠈⡋⠀⠀⠀⠄⠀⠄⡀⠄⠃⠀⠀⠀⠈⠀⢀⡆⠐⢀⢽⣿⣧⢃⡀⠁⣠⣾⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠠⠀⠒⠘⡙⠉⠀⠛⠛⠋⠁⠀⠈⠳⣃⡀⠀⣕⠡⠊⠀⠁⢠⠊⠋⢛⠿⠛ ⣿⣿⣯⣷⣿⣿⣿⣿⡍⢼⡀⠘⢏⢝⢯⠄⠀⢀⠐⠨⠈⠢⠀⠈⠀⡂⠄⠂⠐⠴⠪⢼⢏⣿⣿⡆⢀⠀⠁⠛⠛⢿⣿⣿⣿⣿⣷⡄⠀⠀⠐⠈⠀⠀⢰⣤⣥⣄⠀⠀⠀⠀⣠⣚⣵⣶⣷⣿⣟⡒⢤⣀⡆⠂⠂⠀⠁⠀ ⣾⠽⠿⣟⣿⣿⣿⣿⣿⣾⡇⠀⠘⠅⡊⠁⠀⠀⠀⠀⠀⠀⠀⢀⠀⠅⢄⡊⠀⠈⣁⠄⠃⣴⣇⠀⠈⣴⣶⣶⣦⣴⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⡲⡿⠿⠿⠻⠐⠀⠺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠄⡁⡀ ⣿⣿⠿⡿⠋⠻⠟⢋⣿⣻⣟⡠⠀⠀⠀⠀⠈⠀⠀⠀⣀⠀⠌⠐⠀⢀⠀⠐⠁⠈⠄⠀⢠⡻⣿⣦⣀⠽⢿⠿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⡁⠈⠠⠠⠀⠀⢰⡄⠀⠨⣻⣿⡫⣿⣿⣧⣡⣿⣿⣿⣿⣷⣶⣦⡊ ⣶⣻⣦⣠⣶⣴⣖⠌⣭⡃⡈⣿⣦⡄⠀⣀⠀⠀⠀⠀⠀⠐⠒⠂⠀⠀⠀⠄⠀⠐⡖⣢⡈⣬⠀⢻⠝⠀⠐⠛⠋⠉⠉⠉⠀⡀⠀⠀⠀⠀⠀⠀⠀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠁⣠⣮⣆⣿⡏⠙⢻⣿⣿⣿⣯⣼⠟⢳⣤ ⣿⡿⣿⣿⣿⠿⣉⣻⡵⠽⢿⣴⢿⣧⡄⡜⠂⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠈⠐⠴⠣⡊⡁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣧⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣠⡄⣒⣀⠀⠀⠀⠻⣿⡇⠀⠀⠀⣈⠉⠈⠉⠛⠏⠘⠈⢫ ⠿⠟⠛⠋⠛⡁⠋⠉⠐⢐⠛⠁⠙⣻⡿⡧⣀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠰⠀⠭⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣆⢄⡶⠤⠀⠀⠀⠀⠁⠀⠉⣿⡿⠿⠀⠀⠀⠀⢋⡁⢰⣷⣾⣿⡶⠦⠰⠆⢀⠀⠌⣿ ⠀⠀⠝⠀⠪⢽⡟⠉⣂⠀⠀⠀⠀⠙⢹⣧⠈⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠁⠅⢀⢄⠀⠆⠀⠀⢀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠈⠈⠍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠗⢖⠾⣯⣴⣶⣿⣿⠽⠻⠿⣿⣴⣤⣄⣀⣬⣻⢗⣿ ⠐⠀⠀⠀⠀⡀⠀⣤⣀⣀⡀⠀⠀⠀⠚⠇⠥⢀⢀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⠿⠁⠀⢀⣀⣠⣤⣶⣶⡖⠐⠂⠂⠀⠀⠀⠀⠂⠀⠀⠐⠐⠛⠲⠶⠟⠛⠋⠹⠲⠯⠠⠭⠻⠿⣿⣿⣿⣿⣿⣯ ⠀⠀⠀⠀⠀⠀⠀⠙⠛⠳⢒⠆⢐⠀⠀⡐⠀⠡⡀⠄⡀⢀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢀⠀⣸⣦⠤⠀⠠⡄⣸⣛⣿⣿⣿⣿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⠀⠑⠛⠀⠀⠁⠄⢔⠉⠀⣑⠔⠒⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣀⡀⠈⠙⢛⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣠⣒⠞⢿⣷⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠙⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣀⢠⣂⣠⣠⣤⣤⣦⣤⢾⣭⣭⣿⡶⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⠂⠉⠉⠉⠁⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢁⢊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⣈⠌⣠⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⠈⠎⠝⠱⠦⢦⢣⢔⢿ ⣴⣖⣶⣦⣤⠠⢤⡤⠄⡄⠀⢠⠀⡤⠤⡀⢠⡀⠀⡄⢠⠀⣄⠀⢠⠀⣠⠤⡀⠀⠀⢀⡤⣄⢀⣠⡄⠀⠀⠤⡤⠄⢠⠀⢠⡄⢠⠀⣠⢤⡀⠀⠀⡠⢤⡀⢠⠀⢠⡄⢠⡀⠀⣤⠀⣤⠀⠀⡄⠀⡤⠤⢠⡤⢤⡀⢰⣿ ⣿⣿⣿⣿⣿⣦⢸⡇⠀⡇⠀⢸⠀⣇⣀⠇⢸⠷⠀⡇⢸⠀⡟⢆⢸⠀⡇⢀⣉⠀⠀⠘⠀⡼⠀⢸⡇⠀⠀⠀⡇⠀⢸⣀⣸⡇⢸⠀⢧⣀⠁⠀⠀⢧⣀⠁⢸⠀⠀⡇⢸⠇⢀⢿⠀⡟⡄⢸⡇⠀⣇⡀⢸⣇⣠⠇⠀⡿ ⣟⣽⣿⣿⣞⡡⢸⡇⠀⣇⠀⣸⠀⡇⠘⡄⢸⠀⢳⡇⢸⠀⡇⠘⣾⠀⡇⠀⣿⠀⠀⢀⠞⠁⠀⢸⡇⠀⠀⠀⡇⠀⢸⠀⢸⡃⢸⠀⡄⠈⡇⠀⠀⡄⠈⡇⢸⡀⢠⡇⢸⠸⡜⢸⠀⡇⢁⡆⣇⠀⡇⠀⢸⡇⢹⡀⠸⣿ ⣿⡿⣿⣟⣛⣿⣨⣁⣴⣌⡉⣡⣄⣡⣤⣥⣬⣤⣤⣡⣌⣀⡁⠀⠈⠀⠈⠉⠈⠀⠀⠉⠉⠉⠀⠈⠁⠀⠀⠀⠁⠀⠈⠀⠈⠁⠈⠀⠈⠉⠁⠀⠀⠈⠉⠁⠀⠉⠉⠀⠈⠀⠁⠈⠀⠁⠈⠀⠉⠀⠉⠉⠈⠁⠀⠁⣰⣻ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣻⣿⣾⣿⣿⣏⣿⣿⣾⣿⣿⡻⡿⣳⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⢉⠀⢰⣅⣼⡜⣏⢴⣾ ╘══════════════════════════════════════════════════════════════════════════════╛ ¶ Lines in total: 3726 ➮ Generation completed at 02:50, i.e. 29 seconds to (re)generate ⟲