Good morning! へ + —̳͟͞͞💗 ૮ - ̫ ՛ )つ —̳͟͞͞ 💗 —̳͟͞͞💗 + (つ < —̳͟͞͞💗 | _ つ + —̳͟͞͞💗 —̳͟͞͞💗 ˚ `し´

∧_∧   (。・ω・。)つ━☆・*。 ⊂/  /  ・゜ しーJ    °。+*°。 .・゜ ゜。゚゚・。・゚゚ ╱|、 (˚ˎ 。7 |、˜〵 じしˍ,)ノ

┊ ┊ ┊ ┊ ┊ ┊ ┊ ┊ ┊ ┊ ˚★⋆。˚ ⋆ ┊ ┊ ┊ ⋆ ┊ ┊ ★⋆ ┊ ◦ ★⋆ ┊ . ˚ ˚★. 𝓁𝑜𝓋𝑒 𝓉𝑜 𝒶𝓁𝓁 𝓅𝑒𝑜𝓅𝓁𝑒 𝓌𝒽𝑜 𝓌𝓇𝒾𝓉𝑒 𝒸𝓊𝓉𝑒 𝓉𝒽𝒾𝓃𝑔𝓈 𝒹𝑜𝓌𝓃 𝒽𝑒𝓇𝑒

∧_∧   (。・ω・。)つ━☆・*。 ⊂/  /  ・゜  しーJ    °。+ * 。        .・゜       ゜。゚゚・。・゚゚。       ゚。   。゚  ゚・。・゚

∧_∧  (。・ω・。)つ━☆・*。  ⊂   /   ・゜+.  しーJ   °。+

✨ 🌸💕✨   ✨💕🌸 💗   🌸 🌸   💗 🌸 🌸  ✨ ✨  💕 💕   🌸 🌸     ✨ ✨ 💞

(∩^o^)⊃━☆

♡❀˖⁺. ༶ ⋆˙⊹❀♡

━☆・*。   ・゜   °。+ * 。      .・゜      ゜。゚゚・。・゚゚。       ゚。   。゚        ゚・。・゚

🥀✨️🌹

🍄🔮🌟💫

⋆⁺ °˖➴⚔️˚☽。⋆༉‧₊˚˚₊· ͟͟͞͞➳❥♡₊˚ 🦢༘⋆

💋🌹✨️🥀❣️

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⡔⢹⣍⠑⢆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠑⡄⠀⠀⠀⠧⣀⠜⠀⣸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⣀⠴⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠀⣀⠤⠶⠾⠭⢥⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠂⠀⠀⠀⠀⠀⠀⡴⢁⡴⠋⠀⠀⠀⠀⠀⠀⠈⠓⣄⠀ ⠀⢀⣤⣶⣶⣶⣶⣶⣶⣶⣤⣀⡀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⡟⣛⡶⢄⠀⠀⠀⠀⠀⢠⢃⡞⠀⠀⠀⢀⡠⠔⠢⢄⠀⠀⠈⡇ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣏⣀⡸⠀⠀⠀⠀⠀⠸⣸⠁⠀⠀⠀⡎⠀⠖⠐⣦⡡⠀⠀⠰ ⣿⣿⣿⡿⠋⠉⢻⣿⣿⣿⣿⠋⠉⠉⠛⠻⢿⣶⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⢇⠀⠃⠤⠔⠃⠀⢠⠇ ⠘⢿⣿⡆⠀⠀⠀⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡒⠒⠤⢄⡸⡇⠀⠀⠀⠈⠳⢄⣀⣀⡠⠴⠋⠀ ⠀⠀⢸⣿⣦⡀⠀⠈⢻⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠉⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢿⣿⡿⣤⣀⠀⠙⠻⣿⣦⣀⠀⠀⠀⠀⠀⠀⠈⠉⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⡤⣄⡀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢿⣧⡈⠙⠻⠶⠶⠶⠿⠿⠿⢷⣶⣶⣤⣤⣤⣤⣿⣿⣃⣀⡙⣿⣿⣿⣿⣿⡇⠀⠉⠳⡄⠀⠈⣧⠀⠀⡠⠒⠉⠉⠉⠢⡀⠀ ⠀⠀⠀⠀⠈⠉⢿⣶⣤⣀⣀⣀⣀⣤⣶⣿⠿⢛⣽⣿⡟⣿⣿⣿⣯⠉⠉⢻⣿⣿⣿⣿⣷⠀⠀⠀⠙⣆⠀⢹⡆⠸⠁⠀⣠⠒⢶⡄⢹⠀ ⠀⠀⠀⠀⠀⠀⠘⣿⣝⠛⠛⠛⠛⠋⠉⣀⣴⣿⡿⠋⣸⣿⣿⠁⣿⣧⣴⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⢹⡄⠀⣇⡇⠀⠀⢣⡀⢀⡰⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⣷⣶⣶⣶⣶⣿⡿⠟⢁⣠⣾⣿⣿⣿⢴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⢸⡇⠀⣿⠃⠀⠀⠀⠀⠀⠀⡠⠶ ⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⢿⣯⣉⣡⣤⣶⡿⢿⣿⣿⣿⣿⣏⣭⣻⣿⣿⣿⣿⣿⣿⡏⠘⢿⣷⡀⣸⠁⠀⡿⠀⠀⠀⠀⠀⢀⠔⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢋⣽⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠻⣷⣧⣤⣼⠇⠀⠀⠀⠀⡠⠊⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣿⣿⡟⠁⠀⠀⠀⠉⠉⠉⢁⣴⣾⣿⣟⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⡴⠋⠛⣿⣿⡍⠀⠀⣠⠞⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠈⢽⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡾⠋⣈⡥⠶⠭⠤⠤⠤⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⣿⣇⠀⠀⠀⠀⣀⣠⣤⣾⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⡴⠞⣉⣩⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⢻⣿⣿⣿⣿⣿⠋⣠⣾⣿⣿⣿⣿⣿⠿⢻⡏⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⣸⣿⣿⣿⣿⣧⣾⣿⣿⣿⠿⠛⠉⠈⠃⠐⠁⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠏⣿⠛⠛⠉⠀⠉⠁⠀⠀⢀⣿⣾⣿⣿⣿⣿⣿⠟⠋⠉⠛⠷⣖⠦⠤⠤⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⡿⠏⠁⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡿⠁⠀⠀⡴⠋⣁⣉⠳⡀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣤⣾⡿⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡇⠀⠀⢸⠁⠰⡁⣼⢆⠇⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠤⣄⠀⠈⢧⡀⠉⠉⠁⠀⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⠀⢹⡆⠀⠀⠙⠒⠒⠒⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⢀⡎⠙⣄⠀⠀⠀⢠⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⡏⠋⠀⠀⠈⠁⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⋆˖⁺‧₊☽◯☾₊‧⁺˖⋆

“👧📚🔮✨🐉”

💋🤍🪄

Every morning in my mind… Author: Nga ("- . -) - Hello I am Brain and I want to wake her up. (uᴗu”) - Hello I am Dream and I am her dream. ------------------------------------------- 6:00 AM ("- . -) - Alright lazy girl, let’s wake up!    No - (uᴗu”) ("• . •) - Wait… Who the hell are you?    Just a sleepy, dreamy, … - (uᴗu”) ("- . -) - Ok shut up, now wake up!    But I wanna… - (uᴗu”) ("- . -) - WAKE UP!    s l e e p - (uᴗu”) ("O .O) - YOU DARE!    s l e e p - (uᴗu”) ("O_O) - ENOUGH!💥 -------------------{👊}-------------------  🤜✋ (>ᴗO”) (“o。o) - How the h*** did you absorb that?    You know, I am the d r e a m - (uᴗu”)    And your punch is weak btw - (u.u”) ("O_O) - Then take this!    Okie - (uᴗu”) ("=_=) 🖐☀ ~ Sunlight ~    Ehh! Dom a in E xp a ns i on 🙏 (u。u”) -------------------------------------------  ✦˚ '   .  ⋆ ˚ 🌙ㅤㅤ ("• . •) - Where am I!?    Somewhere only we know. - (>ᴗ<”) (">-<) - Cannot…move?  ~Shh, Let me blow you into the deep sleep~   🌀🌪🌫(u。u”) --------------------👁--------------------  >You dare underestimate me_ ("👁ᴗ⤙)🤟 🌌🌀   WHAT?! You just teleported that? - (>ᴗO”)  >You think only you have abilities like that huh_  >Enough funny, let me tell you_ ("ᴗ_ᴗ)🤚💧🔥✋ -------------------|☯|------------------- ("👁.⤙)👉━━━━━━☯ >.<”) ⚫💨━━━━━━━━━━✴ ("-ᴗ-) - ezezezezezez   Not yet - ノᴖO”)   ₊’⊹(uᴗu”) *regenerated ("• . •) - What the f***?    🖕(uᴗu”)  -------------------👁 👁-----------------   =͟͟͞͞🤜   =͟͟͞͞🤜 *miss ("👁_👁) =͟͟͞͞🤜  (°^°”) =͟͟͞͞🤜 *miss   =͟͟͞͞🤜   =͟͟͞͞🤜   =͟͟͞͞🤜 *miss  ~ Shield Activated ~ 🤜🛡━ 🤜🛡 🤚(≧ᗜ≦”) 🤜🛡━  >Such a waste of time!_  >Domain expansion: solar storm_       =͟͟͞͞☀━━━━━━━━━   =͟͟͞͞🤞(“👁_👁)✌━━━━━━━     =͟͟͞͞🔆━━━━━━━━    ~ Don’t die too early! ~  ~ Domain expansion: Moon Sequence ~   ━  .  ⋆ ˚    ━✦˚ 🌑🌓🌔   ━━🌕 (ᴗ。ᴗ”) 🌒✦˚   ━.˚  🌖🙏🌘 ⋆ ˚   ━━━━━=͟͟͞͞⚪⚫˚.━━━━━ ﮩ٨ـﮩﮩ٨ﮩ٨ـﮩﮩ٨ﮩ٨ـﮩ💥ﮩ٨ـﮩﮩ٨ﮩ٨ـﮩﮩ٨ﮩ٨ـﮩﮩ (“👁_✖) - …   ₊’⊹(𓁹‿𓁹”) *regenerated (“👁-✖) - This f***ing cheater   (“👁-✖) - Again! - (uᴗu”)   (“👁.✖)👉=͟͟͞͞🌌)(🌀👌(u。u”) ▇▆▅▄▃▂💥▂▃▄▅▆▇   (“👁ཀ༽ - …   GGEZ! - (𓁹‿𓁹”)  ~ You did well! Now rest in the Deep Sleep ~ (“=ཀ༽ - Maybe I cannot defeat you  > But this thing can!_ (“👁_༽ 🤞━━━━⏰   ?! - (• . •”) ⏰🖖━The Alarm of Death━━ ﮩ٨ـﮩﮩ٨ﮩ٨ـﮩﮩ٨ﮩ٨ـﮩﮩ(“💔)ﮩ٨ـﮩﮩ٨ﮩ٨ـﮩﮩ٨ﮩ٨ـﮩﮩ ━━━━━━━💥━━━━━━☀ (“=_༽ - Finally End!   Me irl: (“=_=)ـﮩﮩ٨ﮩ٨ـﮩﮩ٨⏰ـﮩﮩ٨ﮩ٨ـﮩﮩ٨ -----------------𝓣𝓱𝓮 𝓮𝓷𝓭-----------------

╭ 👸 . . ℘αιѕℓєу'ѕ ƒαιяутαℓє ┆. ¹ ² ³ → ⊂ 🧚 ⊃ ˢʰᵉ’ᵈ » ' creds to Hey_LiLi1111 on roblox! follow me! ' ⌇ 🏰 』

⚕ ـــــــــﮩ٨. ݁₊ ⊹ . ݁˖ . ݁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣴⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣄⠀⣠⣶⣶⣦⣴⣿⣹⡛⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣖⣀⣾⣿⣿⣿⣿⣿⣿⡁⠘⠛⣿⣿⣯⣛⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣿⡟⢙⣿⣿⣿⣽⡟⢿⣿⡇⢻⣿⣤⣐⡸⡟⠏⠋⢿⣷⣾⣿⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢿⣿⣟⣸⣿⣿⣿⣿⣿⣾⣿⣷⣶⣿⣿⢻⣿⡿⠄⠂⣈⠹⢿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣶⣄⠉⣹⣿⣿⠿⣿⠀⣉⣿⡃⢀⠘⢻⣿⣿⠛⢀⢰⣶⡌⠁⠌⢘⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣷⣶⣶⡀⣰⣿⠋⠡⢿⣿⣿⠏⠁⡀⣸⣿⠇⠉⢿⣿⣦⣦⣿⠛⣿⣧⣠⣼⣿⣯⣥⣂⣼⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⡟⠙⢿⣿⠇⡀⢂⣿⣿⣿⡅⢐⣠⣿⣿⡆⠐⠨⣿⡇⠁⠀⠀⠈⠛⢿⡟⠇⢠⣿⠿⢿⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣳⡟⢸⣿⡷⢿⣿⣿⢿⣿⣿⣿⠟⠉⢻⣷⣤⣵⡿⠁⠀⠀⠀⠀⠀⠀⢿⣄⠀⠻⣷⣄⠈⠉⠻⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⢀⣠⣿⣿⣷⡈⢂⠀⣻⣯⠿⠾⠿⢿⣿⠀⠀⠀⠉⠙⠋⠀⠀⠀⠀⠀⢴⣄⠀⠀⠙⣷⣄⠈⠻⣷⣦⡀⠀⠙⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⢿⣿⣿⣿⡏⢁⠈⢿⣏⠀⠰⣿⣿⣷⣎⣤⣾⡟⠀⠀⠀⠀⠀⠀⠀⢶⣄⠀⠀⠀⠙⣷⣄⣠⣬⣿⠷⣦⣭⠙⣿⣷⣦⣤⠈⠻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣸⣿⡟⠻⢿⣶⣾⣾⣿⠀⡁⢸⣿⡄⠉⠉⠉⠀⠀⠀⠀⠰⣤⡀⠀⠀⠹⣧⣀⣠⣴⠟⠋⠉⠀⠀⠲⣦⣽⣶⣿⣧⣌⡛⣷⡄⠈⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣶⣿⣿⣿⣿⣿⣾⣿⣿⡾⠿⣿⣿⣿⣿⣦⡐⢠⣿⠇⠀⠀⠀⠀⠀⣶⡀⠀⠈⢿⣄⣀⣤⠾⠋⠉⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⠌⢻⣆⠀⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣿⣿⣽⡯⣟⣿⣿⣿⣿⠀⣰⣤⣿⡿⠻⣿⣿⠿⠋⠀⠀⠀⡀⠀⠀⠘⣷⣀⢀⣠⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠉⠙⢿⡛⠛⠁⣿⠀⠀⢻⣆⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠻⠿⣿⣿⣿⣷⣾⣿⣿⠛⢻⡟⠁⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀⠀⣈⡿⣿⢉⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣄⠀⠀⠁⢀⣴⠟⠀⠀⢸⣿⡀⠀⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⠀⣤⣿⡿⢿⢿⣿⡿⢤⣽⣷⣿⠃⠀⠀⠀⠀⠀⠀⣤⡀⠀⠈⢿⡦⠞⠉⢳⣤⠘⣿⡘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠋⠁⠀⠀⠀⣈⣿⡇⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⣿⣻⣿⣿⣿⣷⣾⣟⣽⣿⣷⣾⣿⠟⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⢻⣷⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⣤⣴⠶⣾⡇⠀⠀⠀⢠⠀⠀⠀⠰⣿⣧⠀⣰⠎⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⣧⡉⢻⣿⣁⣾⡿⠿⣿⣿⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⣀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⠛⢷⡄⠀⠀⢠⣿⣥⣴⡿⠁⠀⠀⠀⠰⡄⠀⠀⢸⣿⣷⠀⢿⡄⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣤⣼⣿⣿⣶⣿⣿⣿⣷⣷⡿⠁⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡄⠀⠀⠀⣾⠇⠀⠙⠙⠋⠁⠀⣸⡇⠀⠀⠀⠙⠛⠉⠀⠀⠀⠀⠀⠀⠹⣶⢇⣿⡟⢹⡆⠸⣇⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣿⣿⣿⣿⣿⣯⣤⣴⠿⠛⣷⣦⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⢼⣆⣀⣀⣀⣀⣠⡴⠛⠀⠀⠀⠀⠀⠀⢰⣶⣦⠀⠀⠀⠀⠀⢀⣾⡿⠀⢸⡇⠀⣿⢀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⠛⠛⠛⣿⣿⣿⣷⣯⣰⣽⡟⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠉⠉⠙⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠟⠂⠀⠀⠀⣠⣾⠋⠀⠀⢸⡇⠀⢹⡏⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⠟⠛⠋⠀⣺⡇⠀⠀⠀⠀⠀⢠⡀⠀⠀⣷⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⡀⠀⠀⠈⠉⠛⢶⣤⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⠟⠁⠀⠀⠀⢸⡇⠀⢸⡇⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⣹⣇⠀⠀⠀⠀⠀⢸⣇⠀⠀⠹⣇⠀⠀⠹⣇⠀⠀⠀⡔⠁⠀⠀⢀⠀⠀⠀⠀⠙⣷⠀⠀⠀⠀⣠⣴⡿⠋⠀⠀⠀⠀⠀⠀⢸⡇⠀⠘⡇⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀⠸⣯⠀⠀⠀⢿⡄⠀⠀⢿⡄⠀⠀⢦⠀⠀⠀⠀⠀⠈⠀⠀⠀⡭⢀⣠⣶⣿⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠈⡗⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⣿⡆⠀⠀⠈⣷⠀⣀⣈⣿⡀⠀⠈⠓⠀⠀⢀⣠⣀⣤⣼⣶⡿⢿⡏⠁⠘⣿⣶⣶⣄⠀⠀⠀⠀⠀⠀⢸⡇⠀⠐⣇⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⢹⡇⠈⠙⢻⣿⠿⠷⠾⠿⠿⠿⠛⠛⠉⠉⣷⣷⣿⡷⠶⠟⠛⠉⠈⠙⣶⣤⠀⠀⠀⠀⠹⠧⠀⠀⠋⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⢻⡇⠀⠀⠈⣷⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠁⠀⠀⠀⠀⣀⣠⡴⠞⠋⠙⠳⣦⡀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠈⣿⡀⠀⠀⢹⡇⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⢀⣼⡏⠀⠀⠀⠀⠛⠋⠉⠀⠀⠀⠀⠀⠀⠈⣿⣦⣄⡀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠁⠀⠀⠀⢻⡆⠀⠀⠀⣀⣰⠟⠋⠛⠳⠶⠶⠶⠶⠶⠶⠒⠀⠀⠀⣀⣴⣿⠉⠀⠉⠛⠷⣤⣀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠈⣿⡀⠀⣰⠟⠻⢶⣤⣤⣀⣀⣀⣀⣀⣀⣀⣠⣤⠶⠟⠋⠙⣿⠷⣦⣄⠀⠀⠀⠙⠛⢷⣄⣀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⢀⣴⠟⠹⣿⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⢹⣆⠀⠉⠻⢶⣤⣄⠀⠀⠈⠙⠻⢶⣿⣿⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠘⡗⠀⠀⠀⢀⣠⡾⠋⠁⠀⢀⣴⠟⠁⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀⠀⠀⠈⠉⠻⡷⠶⣤⣄⣀⣉⣿⣾⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⢀⣤⣶⣤⣤⡶⠟⠉⠀⠀⣠⡶⠋⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⣿⡇⠀⠀⠹⣿⣻⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⢠⣼⡿⣶⡄⠀⠀⢀⣠⣴⢾⡏⠀⠀⠀⠀⠀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⡆⠀⢰⠀⠀⢿⡀⠀⠀⠀⠙⠻⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⣀⠀⣶⠟⠛⢶⡀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠉⣽⣿⣿⣥⣤⣴⡿⠉⠀⣸⡇⠀⠀⠀⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⢸⠂⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣴⣿⣯⠙⣷⡿⠀⠀⢸⣿⣦⣄⣠⡄⠀⠀⣿⠄⠀⠀⠈⠉⠉⠀⣿⡿⠀⠀⢀⡿⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⢸⡇⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⡾⠋⠙⠻⠓⠀⠸⠧⠀⠀⠸⠋⠀⣿⡍⠿⡶⣸⡿⠀⠀⠀⠀⠀⢀⣀⠄⠀⠀⠀⣼⠃⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠀⠀⢸⡇⠈⣧⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⣧⣄⠀⠀⠀⠀⠀⠀⢠⣄⠀⠀⠀⠈⠀⠀⣰⡿⠁⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⣼⠏⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠾⠁⠀⠀⠀⠀⣿⠀⢹⣆⠀⠈⢿⡄⠀⠀⠀⢀⣤⣄⣶⠷⣶⡾⢶⣠⣤⣤⡀⠀⠀⠀⠀⠀ ⢀⣤⣶⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠹⣧⣤⣤⣤⣶⠾⠋⠀⠀⠀⠀⠀⠀⣼⠏⠀⠀⠀⣼⠏⠀⠀⠀⣰⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠟⠁⠀⠀⠀⠀⠀⠀⢿⡄⠀⠻⣆⠀⠈⠻⣆⡀⠰⠏⠉⠛⠁⠀⠉⠙⠿⠋⠉⢹⡿⢶⣄⡀⠀⠀ ⣼⣿⣏⠈⠁⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠀⠀⠀⠀⢀⣼⠋⠀⠀⠀⠀⠀⠀⠀⢀⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠞⠉⠀⠀⠀⠀⢀⡴⠂⠀⠀⢸⡇⠀⠀⠙⢷⡀⠀⠙⠻⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⣸⣿⠀⠀ ⢸⣿⣾⣦⠀⠀⠀⠀⠀⣾⠟⠃⠀⠀⠀⠀⠀⠀⠀⣿⣧⣤⡤⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠁⠀⠀⠀⠀⠀⠀⣰⠟⠁⠀⠀⠀⠀⣿⠀⠀⠀⠀⠙⠀⠀⠀⠀⠉⠛⠻⠃⠀⠀⠀⠀⢺⣦⡀⠀⠀⠛⠿⢷⡀ ⠈⢸⣿⠁⠀⠀⠀⠀⠘⡿⣦⣤⣴⠄⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠾⠋⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⢀⠐⣰⡄⢶⡶⠀⠀⠀⢠⣾⡇⠀⠀⠀⠀⢼⡧ ⠀⠸⣿⠂⠀⢀⣀⠀⠀⠀⠀⠉⠀⠀⢀⣿⠋⠀⠀⣼⣿⡗⠀⣀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⢻⣦⣿⠿⠾⠃⠀⠀⣠⣬⣿⡇⠀⠀⢀⣵⡾⠁ ⠀⠀⠙⠻⣾⣿⣿⠂⠀⠀⠀⠀⠀⠀⠈⢿⣦⣄⣠⣿⠿⡶⠾⠋⠀⠀⠀⠀⠀⢀⣴⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⢀⡟⣿⠋⠀⠀⢀⣿⣿⡆⠀ ⠀⠀⠀⠀⠸⣷⣀⠀⢀⣴⠀⠀⠀⠀⣠⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠟⠋⡀⠀⢸⣿⣿⡿⠃⠀ ⠀⠀⠀⠀⠀⠈⠛⠛⠛⢿⣄⣀⣀⣴⣟⠀⠀⣸⣧⠀⠀⠀⣠⡾⠷⢶⡾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⣄⠀⠀⠀⠀⢀⡀⠀⠀⠀⣤⠄⠀⠀⣰⣿⡰⢰⣽⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠷⠟⠛⠛⠷⠶⠟⠉⠀⠀⠈⠻⣶⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡽⣷⡀⠀⠀⢸⣷⠀⠀⠀⣿⣅⣀⣀⣩⡿⠛⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠛⠷⢦⣄⣀⠀⠀⢀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣤⣤⣀⣨⣷⣌⠻⠷⠶⠶⠟⠻⠿⠛⠋⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠋⠉⠉⠉⠙⠿⠿⠛⠙⠛⠶⠦⣤⣤⡤⠶⠚⠋⠉⠻⠿⠛⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡀⢀⠠⢀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠀⠄⠠⢀⠠⠀⠀⡀⠄⠠⢀⠐⠠⠀⠀⠀⠀⠀⡀⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠄⠐⠀⡀⠁⢂⠐⢀⠀⠂⠌⠐⡀⠂⡀⠌⠀⢀⠐⠀⠄⠂⠠⠐⠀⠄⠡⠈⠄⡁⢂⠐⠠⢀⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢀⠂⠄⠡⠈⠄⠡⠀⠠⠀⠂⡐⢈⠐⢂⠈⠀⠁⠀⢀⠁⠂⠐⠠⠀⠀⠄⡀⠄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⠀⠂⠀⠀⡐⠀⡀⠐⠀⠄⠂⠈⠄⠂⢁⠀⢂⠀⠀⠀⠠⠀⠀⠄⡀⠀⡀⠠⠈⢀⠀⠂⡐⠠⢈⠐⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠈⠄⡁⠂⢀⠂⠄⠁⠄⡁⠐⢠⠈⠄⠂⡁⠄⢀⠠⠈⠄⠁⠂⠄⠐⠠⠀⡐⠀⠂⠈⠀⠀⠀⠀⠀⠀⡐⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠂⠀⠀⡀⠁⡀⠀⠁⡀⠀⠌⠀⠈⠐⢀⠀⠂⠈⢀⠐⠀⠀⠄⠀⡈⠀⠀⠄⠀⠠⠐⠀⠀⠂⠄⡐⠠⠈⠄⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⠂⡁⢂⠀⠁⠀⠠⢈⠠⠐⠠⢁⠂⠌⠠⢁⠐⡈⠄⢂⠁⠠⢈⠐⠠⠁⠂⠐⠀⠈⠀⠀⠀⠀⠀⠀⠀⡀⠄⡈⠐⡀⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠠⠀⠀⠁⠀⠄⠐⠀⠀⡀⠀⠁⡈⠄⠠⠁⠌⢀⠂⠀⠁⡀⠀⠀⠀⠁⠀⠀⠁⡀⠈⢀⠡⠀⡐⠠⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠌⡐⠀⠐⠀⡀⠌⠀⠄⠁⡀⠂⠄⠡⠀⠈⠠⢁⠂⡐⠠⠈⠄⢀⠁⠂⠌⡀⠄⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⢂⠀⡐⠠⠁⠀⠄⠀⠀⠀⠀⠐⠀⠀ ⠀⠀⠀⠀⠀⠁⠀⠂⠀⠀⠄⠂⢀⠂⡁⠀⠄⡁⠐⡀⢂⠠⠀⠁⠀⠈⡀⠐⠈⠀⠈⠀⠄⠀⠂⡀⢂⠐⠀⡁⢂⠀⠀⠁⠀⠀⠀⠀⠀⠠⠈⠄⡈⠐⠠⢈⠀⠀⠀⠄⠂⢀⠂⠄⠁⠌⠀⢀⠁⠄⢂⡐⠠⠁⠌⡐⠠⢈⠡⠀⠄⠀⠀⠀⠀⡀⠈⠀⠀⠀⠀⠌⢀⠠⠀⡁⠀⠀⠠⢀⠀⠀⠀⠀⠀⠀ ⠀⠠⠈⠀⠁⠠⠁⠀⠄⠈⠠⠐⢀⠐⠀⠡⢀⠀⠡⠐⡀⠠⠐⠀⠂⠁⠀⠄⠈⢀⠐⠀⡀⠂⠐⡀⠂⡐⠠⠐⠀⠀⠄⠐⠀⠀⠐⠀⠈⠀⡀⠀⠠⠀⠁⠀⠀⠈⠀⠄⡁⠂⠄⢂⠈⠄⠈⠀⠠⠈⠄⠠⠁⠌⡐⠠⢁⠂⠄⠁⠠⠀⠀⠀⠄⠀⠂⡁⠐⢈⠀⠂⠀⡀⠂⠄⠡⠀⢀⠀⡀⠀⠀⠠⠀⠀ ⠀⡀⠐⠀⠈⠀⠀⠀⠀⠀⠀⠀⠂⠀⠂⠐⡀⠈⠀⠄⡀⠄⠀⠀⠀⠐⠀⠐⠈⠀⠀⡀⠀⢀⠁⡐⠀⠀⠀⠀⠐⠈⠀⠀⠀⠀⠀⠀⠀⠐⠀⠁⠀⠀⠀⢀⠀⠄⠁⠂⠄⠡⠈⠄⠀⠀⠀⠄⢂⠡⠈⠐⡈⠄⠠⠁⠠⠈⢀⠈⢀⠀⠀⠀⠂⠐⠠⠀⠡⠀⠀⠌⠀⠀⠐⠈⠀⠈⠀⠀⠀⠀⠂⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠁⠄⠀⠀⠐⠀⠠⠈⠀⡀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠐⠀⡀⠠⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠈⠀⠀⠀⠀⠀⠁⠠⠀⠁⠀⠄⠀⠠⢈⠀⠄⡈⠐⠠⠈⠄⠁⠀⠀⠀⡀⢀⠀⡀⠐⠀⠀⠂⠀⠄⠀⠠⠀⢀⠀⠄⠀⠀⠂⠀⠀⠀⠀⠀⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠐⠀⡐⠈⠠⠁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠐⠀⠀⠂⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⠀⠀⡀⠄⠁⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠄⠀⠀⠀⠄⠡⠈⠀⠂⠀⢀⠀⠂⢀⠈⠀⠀⠀⠀⡀⢀⠂⠀⠀ ⠀⢀⠀⠄⠀⠀⠀⠀⠁⡐⠀⠁⠀⠂⠀⠐⠠⠁⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠄⠀⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠐⠀⠀⠀⠐⡀⠂⠀⠀⠀⠀⠀⡀⠄⠀⠀⢀⠂⠈⢀⠈⡐⠀⠀⠂⠁⠀⠀⢀⠀⠂⠀⠀⠀⠌⠐⠠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠐⠀⠠⠀⢁⠠⠁⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠐⠀⠄⠀⠀⠀⠀⡐⠀⠌⡀⢁⠀⠠⠈⠀⠄⠀⡁⢈⠐⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠈⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠂⢁⠠⠀⠀⠐⡀⠀⠀⠀⠀⢀⠀⠀⠐⠀⠀⠐⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠄⠀⠐⠀⠌⠀⠀⠀⠀⠠⠁⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠀⠀⠀⠈⠄⠈⠀⠀⠀⠀ ⠀⠈⠀⠀⠀⠀⠀⠠⠀⠀⠌⠀⡐⠠⠀⠀⠀⡐⠀⡀⠀⠀⠀⠠⠐⠈⠀⠀⠀⠄⢈⠀⠠⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠡⠀⠀⠀⠄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠂⠀⠀⠀⠀⠀⢀⠈⠀⠄⡀⠄⠁⠀⢀⠠⠀⠀⠡⠀⠀⠂⠀⠠⠀⠁⠀⠀⢀⠂⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠁⢀⠀⠀⠀⠀⠀⠀⠀⠄⠠⠀⠠⠁⢀⠀⠄⠀⠂⠀⠀⠀⠀⠠⠀⠀⠐⠈⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⢀⠠⠀⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠁⠠⠀⢁⠠⠈⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡁⠂⠈⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⢀⠀⠠⠀⠄⠈⢀⠀⠠⠀⠀⠀⠀⠀⠐⠀⡀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣰⣴⣿⣿⠁⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⠐⡀⠠⠁⠀⠀⢀⠠⠀⠀⠀⠀⠀⠠⠐⠀⢂⠀⠂⢀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠁⢂⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣿⠋⢻⣷⣏⠙⣷⠿⣥⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠂⠀⠄⠀⠀⡀⠀⠀⠀⠁⠀⠀⢀⠀⠀⠂⡀⠄⠂⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠠⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠄⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣿⠋⠙⣿⣄⣾⡇⣹⡆⣷⣄⠈⣹⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⠈⠄⠀⠂⠀⠀⠀⢈⠀⠀⠀⠀⠀⠀⠀⠠⠈⠄⠐⠀⠈⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠠⠀⠀⠈⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣾⠻⠙⣿⢿⣶⡚⠛⠋⠉⢿⣗⣷⣿⣭⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢀⠂⠈⢀⠐⠀⠄⠂⠀⠀⠂⠀⠀⠀⠀⠡⠌⡀⠠⢀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢁⠀⠁⠀⠀⠀⣠⣤⣴⣶⠾⢿⣇⠀⠻⣤⡴⠿⣤⡿⣿⠋⢻⣶⠶⠛⠚⠁⠀⠉⠓⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠀⠠⠁⡀⠠⠁⢈⠀⠈⠀⠀⠀⠀⠀⠀⠡⠐⡀⠄⠀⠈⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠁⠀⠠⠀⠀⠀⣴⠶⣦⣿⠀⠘⡏⠀⣸⣿⢿⡏⢽⣍⣛⡽⠁⠘⠶⠾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⢀⠁⠂⢀⠡⠀⠂⠀⠌⠀⠀⠀⢀⠀⠀⡁⢂⠐⠠⠀⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⢀⣶⢶⣾⣇⠀⣿⠛⣷⣠⣷⣾⠿⣶⢾⣇⠀⢻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⣄⠀⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠄⠈⠀⠄⡀⠀⠄⡈⠀⠀⠀⠠⠀⠀⠀⠀⠂⠄⡐⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠈⠼⢧⣄⣼⡟⢺⣿⠻⣿⡿⢿⣿⣤⣿⠀⠛⠶⠞⠁⡀⠀⣄⢳⡄⢦⡀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠹⡄⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⠈⠀⠀⠀⠀⠀⠠⢀⠁⠀⠁⠀⠀⠀⠀⠀⠠⠐⠀⠄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠀⢈⠐⠀⣼⠋⢠⡴⢿⡶⣿⡇⣼⠃⠀⠀⠀⡀⣤⡐⣦⠻⣄⠹⡄⠃⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡀⠂⠀⠀⠈⠀⠄⠡⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⢀⠀⣿⣄⣼⣧⣿⡇⠙⠛⠋⠀⢀⢰⡌⢷⡙⣿⠸⠇⢹⣄⣧⡀⠀⠀⠘⢧⡀⠀⠀⠠⣄⠀⠀⠀⠙⣄⢻⡄⠀⠀⠀⠄⠀⠀⠀⡀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂ ⠀⠀⠀⠀⠀⠁⢀⠐⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⠌⠀⠀⠈⠉⠉⠙⣿⠁⠀⣿⠀⡇⠸⡄⠳⠈⠁⠀⠀⢲⣿⣛⣏⠉⣶⠀⠀⠈⢳⡀⠀⣠⠈⢦⠀⠀⠀⠙⡄⢷⠀⡀⠀⠀⠂⠈⠀⠀⠀⢀⠁⠀⠀⠀⠀⠀⠀⢀⠂⠀⠀⠀ ⠀⠀⠄⠀⠀⠁⢀⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠁⠀⠈⠀⠀⠘⢿⡄⢸⡟⠀⣩⣤⣷⣀⠀⠀⠀⠀⠘⣿⣿⣿⡷⠏⣀⣶⣤⡄⢻⣴⠇⠀⠀⢧⠀⣀⠀⠀⠈⣧⠀⠀⠠⠈⠐⠀⠀⠀⠀⠈⠀⠀⠄⠀⠀⡈⠀⠄⠀⠀⠀ ⠀⠌⠠⠐⠀⠁⠠⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠈⠀⠀⠄⠀⠀⠀⠀⠄⠘⣧⠸⣇⠀⢿⣷⣦⡉⣷⠀⣀⣤⡀⠉⠉⠁⠀⢰⣿⣿⣿⢏⡼⠿⡆⠀⠀⠈⢧⠘⣆⠀⠀⠹⡆⠀⠀⠀⠄⠈⠠⠀⠁⠄⠀⠀⠀⠐⠀⠀⠌⢀⠀⠀⠀ ⢀⠂⠄⠂⠀⠈⢀⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⠈⠀⢹⣧⠹⡄⠈⠛⠿⠛⠉⠀⠻⠟⠁⠀⣴⠀⠀⢹⡿⣏⣿⣏⣀⣠⠻⣆⠀⠀⠈⠃⠹⣆⠈⣆⢻⡄⠀⠀⡀⠄⠁⠀⢂⠀⠀⠀⢀⠠⠈⢀⠐⠀⠀⡀⠄ ⢀⠂⠰⠀⠌⠐⠠⠀⡀⠀⠀⠠⠀⠂⠁⠀⠐⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠹⣧⠙⣦⣸⠷⣝⣦⠀⠀⠓⠖⠛⠁⠀⣀⡬⣿⠋⠀⢈⡽⠋⢻⠟⠶⢤⣄⡀⠀⢹⡄⠘⣦⢷⡀⠀⠄⠀⢂⠀⢂⠠⠁⠀⢀⠀⠀⠠⠈⠄⠠⢀⠂ ⠀⠌⠠⠁⠌⠐⡀⠁⠀⠀⠄⡐⠀⠀⠀⠁⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠁⠘⣧⠀⠙⢻⣷⣦⣤⣤⣤⣤⣶⠾⠿⠿⠞⢋⣠⡴⢋⣤⣴⠿⢦⣄⣤⣬⣽⣿⣷⣷⡀⠸⡆⠻⣤⠀⠄⠀⠌⡀⢀⣠⣀⣤⣤⢶⣠⡅⢂⠁⠂⠀ ⠈⠄⠡⠈⠀⠐⡀⠁⡐⠀⠂⠄⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠘⢷⡘⢦⡙⣆⠀⠰⣤⡟⠛⠲⠶⣦⡀⢉⣀⣠⠿⣿⣿⣆⠀⠀⠀⠀⠀⢈⡿⣬⣷⠀⠹⣆⠈⠳⣤⣂⠐⢠⡟⠛⠉⠉⠀⠉⢰⣧⡀⠈⠀⢀ ⠀⠌⠠⠀⢂⠁⢀⠐⠀⠌⠐⡈⠀⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣀⣤⢶⡄⠀⠀⠀⠐⠀⠀⠀⠌⢻⣌⢳⡌⢧⣰⠟⠓⠦⣄⣠⣾⡷⣟⣿⣿⣿⣿⣿⣿⣟⣟⡷⡶⢿⣻⣡⣿⣯⢳⡀⠘⢦⡀⠀⠉⠛⠋⠀⢠⢔⡶⠦⣤⠀⢠⠇⢒⠦⢤ ⠀⠂⠄⠡⢀⠈⠀⠀⠌⢀⠂⠄⡁⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣄⡙⢃⡾⣿⣶⣤⣤⣌⣠⣐⣀⣬⠀⢻⣆⣿⠞⠁⠀⢀⣼⣿⣿⣿⣿⢻⣧⠿⠛⠉⠋⠛⣿⠿⢯⣿⡿⠷⢟⣾⡙⢷⡹⣄⠀⠙⢢⣀⠀⠀⠀⠀⠈⠀⢊⣩⡿⠀⠀⠁⠀⠊ ⠀⡁⠂⠐⠠⠀⠀⡐⠀⠂⠌⠠⠐⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠐⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢸⣿⢋⣵⡞⣷⣾⠿⠦⠙⠛⠙⠛⣯⡻⠶⠛⠉⠀⠀⢀⣤⢾⣿⣷⢿⣽⣿⠿⠃⡀⠀⠀⠀⠀⠀⠀⢰⡾⣝⣿⣿⣿⢷⡀⠻⣌⠓⢦⣀⠈⠁⠀⠀⠀⠀⠀⢠⡯⠗⠀⠀⠩⣷⠤ ⠀⠄⠁⠈⠀⠀⠄⢀⠠⠁⠌⠠⠁⠌⠀⠀⠄⠂⠀⠠⠀⢀⣄⠀⠐⠀⡁⢈⠀⡀⠂⠀⠀⠀⠄⠐⠀⠠⣾⠳⣿⣿⢿⣟⠟⢻⡿⠗⠀⣠⡶⠞⠛⣿⠏⡙⣶⡤⠶⠲⠞⠋⠀⣿⣿⣟⣶⣶⢿⣷⠀⠙⢳⡖⠒⠋⢉⣴⣾⢷⣏⣿⡉⠻⣞⣷⠀⠈⠂⠀⠉⠛⠆⠀⠀⠀⠀⢛⡏⣄⣠⣀⣰⡟⠉⠀ ⠀⠁⠂⢈⠀⠌⠐⡀⠂⠌⠠⠁⠌⡐⠠⠁⠠⠀⢀⠠⢀⣼⣿⠀⢀⠂⢀⠂⠄⠠⢀⠈⡀⠄⢀⠂⢁⣶⡿⢦⣭⣙⣷⣛⣷⣿⡷⠆⣰⣟⡉⠀⠀⠙⢻⣷⠋⠹⣦⣸⠀⠀⣿⣥⣿⢻⣿⣝⣶⣧⣶⠲⢧⣽⠶⣶⣚⡻⣿⢻⣿⠟⣹⣾⡟⢷⡀⠀⢀⡀⠀⠀⠀⠀⢀⡀⠶⡾⢷⣞⠁⠀⠉⢠⣴⣾ ⠀⡁⠈⠄⠂⠌⠐⠠⢁⠠⠁⠌⠠⠀⠄⠂⠁⠐⢀⠸⠿⠛⠛⢀⠠⠐⠀⠂⠄⡁⢀⠂⠄⢈⠠⣀⣼⣿⡷⣚⣧⠿⣿⣿⢿⣿⣷⠶⣿⣥⣤⣆⣀⣴⠏⣥⠤⣤⡘⣿⡿⣶⠋⠀⠉⠋⣷⢈⣿⣟⣿⣟⣻⣹⡟⢹⡿⣟⠛⣾⡿⡾⣹⠏⠀⠈⢷⠾⠉⣿⡙⢦⣸⣏⣿⡇⢀⣶⣸⠿⠷⣼⠟⠉⠀⠉ ⠀⠄⡁⠂⠌⠠⢁⠂⠄⢂⠁⠂⠄⡁⢂⠐⠈⠄⡀⠂⠄⢂⠈⠠⢀⠂⠌⠐⠠⠐⠠⢈⠐⢀⣾⣏⣿⣿⢧⣿⣟⡛⢁⣾⣸⣍⠙⢀⠟⢷⣿⣿⣯⣿⣛⣟⣛⣛⠟⣻⣿⡜⢧⡀⠠⣔⠷⠿⣀⡟⠁⠙⢿⣩⡽⣏⢸⡇⠀⠛⠒⠛⠋⢀⣠⢶⡏⢀⣼⣿⠛⠋⠉⠉⠩⠟⠋⠉⠁⠀⠀⠀⠀⢀⠐⡀ ⠈⠄⠰⠁⢌⠐⠠⢈⠐⠠⢈⠄⠂⠄⡀⠂⠌⠀⠄⠡⠈⠄⡈⠐⠠⠐⡈⠄⠡⢈⠐⡀⠂⣼⣟⣩⢤⣿⣿⡟⢉⣭⢤⣤⣿⣯⣴⠀⢳⡾⣯⡿⢻⣶⣶⠾⠯⣽⣟⣛⢷⣿⣌⣹⠶⣬⣳⠶⣭⣅⡀⠀⠀⢸⣷⠋⠛⢁⣀⡀⢀⣤⠞⠛⠿⡿⠷⠋⠀⠀⠀⡀⠐⡀⠐⠠⠀⠀⠠⠀⠀⠂⠀⠂⠄⠠ ⠠⠈⠃⠌⠠⠈⠄⠡⡈⡐⠌⡐⢈⠐⠠⢁⠂⠁⠌⠠⢁⠂⠤⢁⠂⠡⠀⠌⠐⡀⠂⠄⠡⠙⣿⣧⢾⣿⣯⡟⣿⣿⣤⡷⠾⡟⢙⣷⣾⣷⠶⣔⣿⠀⠉⠛⠶⣄⡈⢉⡛⢾⣝⠁⠀⠀⠈⠙⠳⠦⢭⣭⣭⣭⣭⣭⣭⡽⠿⠛⠉⠀⠀⠀⠀⠀⠀⡀⠄⠐⠀⢀⠐⠠⠁⠀⠁⠠⠀⢀⠠⠀⠡⠐⡈⠁ ⠠⢁⣌⣠⢅⡌⠠⢁⡐⢀⠒⡀⠂⠌⡐⠠⢈⠐⡈⠐⠠⡈⢐⠠⠈⠄⡁⠈⠄⢀⠡⢈⠐⠠⢈⠉⣾⡷⢼⣳⡟⠓⣦⣹⠶⢢⠸⢏⣉⣹⠟⢻⠏⠀⠀⠀⠀⠈⠙⠲⣬⡁⠈⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⡀⠀⣠⣌⢀⣁⠈⠠⠀⠁⡀⠀⠈⠄⣡⠤⢵ ⡢⠞⢂⠁⠈⠸⠧⡄⡐⢂⠐⠌⡁⠂⠄⡁⢂⠐⠠⢁⢂⠰⢀⠂⠡⠀⠄⠁⢂⠠⠀⢂⠈⡐⠠⠀⠿⡶⢻⡏⢷⡞⠓⣿⡖⠋⢳⣤⣹⡏⠐⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠙⠶⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⡀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠌⡀⢐⣀⣿⠹⢿⢿⣧⡀⠄⡁⢀⠂⠡⠘⢲⠖⣀ ⣤⣶⣏⢀⡟⠛⠙⡁⡐⣀⢊⠐⠠⢁⠂⠰⠀⠌⡐⠠⢂⠐⠠⠌⡀⠡⢈⠐⠠⢀⠡⠀⢂⠠⠁⡈⠄⡀⢈⠻⠾⠃⢀⠀⣀⣤⠟⠉⢀⠀⡀⠁⠠⠀⠀⠀⠀⣠⣤⣾⣦⣤⣀⡀⠀⠀⡀⠠⠀⠂⠀⠄⠘⢁⠀⠀⣤⣄⣀⣤⣴⡿⠙⠻⣇⠀⠌⠀⠀⢿⣥⣠⣶⢰⣶⣿⠁⠀⠐⡀⠌⠠⢁⠓⠒⢉ ⣋⠿⡏⠉⡀⠄⠡⢐⡰⠠⠈⠄⡡⠂⠌⠠⣡⣦⣤⡵⠞⣿⣤⣦⠀⢁⠂⠠⢁⠀⢂⠐⣠⣴⡄⡐⠀⠄⠂⠄⣠⣴⠾⠛⠉⠀⠀⢀⠂⠠⠐⠈⠀⠀⠀⠀⢰⣿⣤⣏⣳⠾⣿⠁⠀⠂⠀⠄⠐⠀⡌⠠⢈⢀⣤⠞⣣⠽⡋⠴⡟⡿⠚⠛⠋⢀⠂⠌⠐⣺⣧⣿⢻⡟⠁⣀⡀⢈⠐⠠⢈⠐⠠⠈⠔⡀ ⢮⡑⢀⡇⠠⡩⢰⠢⣘⢃⠌⡐⠠⠁⣌⡘⣷⣤⡬⣤⠊⣡⣤⣿⠀⠂⠌⡐⢠⣬⢶⣿⣯⡾⠛⣿⣄⣬⠶⢛⠉⡀⠀⢀⠀⠂⢈⠀⢂⠡⠀⠂⠁⠀⠀⠀⠀⠀⠀⠈⠡⠾⠋⡀⠌⠐⠀⡈⠄⠂⣧⣐⣠⠶⠉⠿⠷⠒⠙⣻⠃⠠⠐⠠⢈⠀⠄⠂⠄⠿⢯⣿⣸⣇⣶⣿⠿⠂⢀⠁⡂⠌⠠⢉⠐⡀ ⣦⠆⡒⠭⠔⣐⡬⢀⣉⢯⣴⣠⣥⣶⣴⠇⠿⠷⠾⠹⣦⣤⡿⠏⢀⠁⢂⠄⠻⣿⠞⢹⡆⠉⠻⣯⠁⡀⠂⠄⢂⠐⠡⢀⠂⠁⠂⡀⠂⠄⡁⠂⠄⠈⠀⠀⢀⠀⠀⠀⠄⢀⠒⠀⠄⣈⡐⣀⣌⠐⢸⣿⣻⠀⠀⠀⠄⠀⡀⠋⠀⠐⡀⢁⣦⣤⣌⣠⣈⠀⠀⠈⣿⠟⠉⢀⠠⢀⠂⡐⠠⠌⡐⢀⠂⠄ ⠮⢀⣽⣫⢓⡠⢳⣎⢿⣢⡽⢛⡿⢓⣇⠃⡐⠤⢂⠡⢀⠡⠐⡀⠂⠌⠠⠐⠰⢿⠶⠞⠛⡒⠒⠟⢠⠀⡑⢈⠄⡈⠐⠠⢀⠁⠂⠐⢈⣠⣼⠟⠒⣷⡀⠐⠀⠀⠂⠠⠰⣧⡾⠦⣾⣭⣟⢙⠛⡶⢿⣿⢻⡄⠂⠁⡀⠂⠠⢐⡴⠶⠶⢿⠇⡸⠟⣉⣽⠗⠠⠑⡉⠠⠐⡀⢂⠀⢂⠄⢁⠂⡰⢤⠈⠄ ⣞⣻⣿⣿⡟⠹⣮⣿⣾⣏⣴⡞⢤⡟⢀⢖⡨⢐⠀⠂⠄⢂⠡⢀⠡⢈⠐⡈⠀⠄⡠⢀⠡⢀⠡⠈⠄⠂⠌⣁⠂⢄⠁⠂⠄⠂⠁⡀⠂⠛⢳⣧⡷⢾⣧⠀⠀⠀⠌⢀⢸⣿⣄⣀⠞⠓⣻⡾⠿⠗⢻⣧⠘⣷⠀⠀⠄⡐⠠⠈⠳⣶⡶⠞⣤⠘⣿⡉⡭⢽⡆⠐⠠⢁⠂⡐⠠⠈⠄⢲⣍⠉⠃⠚⠉⣟ ⢻⠋⠉⠙⢷⡀⣿⠷⠋⢙⡿⠛⡼⢠⣫⠏⣐⠊⣌⠐⡈⠢⠈⠄⠂⢄⡂⠐⣋⢐⠠⠂⠔⡀⢂⠡⠘⣖⠺⠹⣎⢽⡅⢈⠐⡀⠄⠐⠠⠐⡀⣸⡏⣋⣟⣷⢤⡁⠀⢂⣈⣿⣅⣤⣴⠏⢀⡏⠛⡛⠋⠉⠀⠸⣇⠀⠂⠠⢀⠁⠄⠿⡴⠞⣿⠦⢾⣶⣷⣬⡀⢁⠒⠠⠐⠠⠡⠚⡀⠦⠔⠚⣅⠇⠒⠊ ⣾⠿⠖⠂⠀⠙⠁⠤⠴⢯⣴⢯⡑⡤⠉⣶⣶⡙⠦⠐⣌⣆⢏⠚⠠⡜⢧⡓⢀⡂⣦⡁⢂⠐⠢⣘⡸⣭⠄⡐⣞⣾⠁⠄⠂⡴⢌⣤⠁⠠⣠⣿⣏⣹⠋⠀⠀⠀⢬⠄⢡⣤⣤⡍⣟⣛⠋⣄⠐⡀⢂⡅⠈⢤⢹⣄⠈⠄⡀⠂⠄⣢⡇⣤⣿⣱⣿⣿⡟⠉⡐⠠⠈⠄⣁⠂⡁⠆⡐⡄⢂⠐⣀⡂⠌⣠

🍓🪵🌱🍄🧚🌷🧺🐛🫧👒🌙🌿🫙

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⢒⠠⢤⣤⡶⠛⠛⠋⢉⣚⣽⡤⢎⣡⣖⣭⠵⡲⠝⠛⢋⠳⣿⣖⡶⢶⠤⣌⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣯⣗⡬⠥⣰⡿⠟⣡⣠⠴⣊⣵⠿⠋⠐⠋⠉⠉⣙⣶⣒⣋⣉⣋⡿⠯⣟⣮⣽⣯⣳⣝⡛⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠟⠛⠓⠯⣿⣥⣾⣛⣭⡞⠛⠛⢻⢿⣿⡷⣾⣿⢓⠖⣢⡿⠓⠀⣀⣤⡖⢏⠉⠙⣻⣿⣿⣦⣌⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⣻⣷⣟⣴⣤⠤⣤⣰⡿⠿⣿⣿⣤⣐⣤⣔⣶⣿⡿⣪⢟⡕⢡⠞⠡⠒⣹⣾⣋⡡⠤⠒⠒⠀⢈⣿⡺⣷⣮⡛⢿⣷⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⣿⢟⠿⢿⣿⣿⡿⠗⢀⣭⣾⣿⣿⣟⣽⡿⣻⠟⢺⡵⠛⣵⢇⣆⣴⠟⠉⠙⢀⣤⣴⡒⠲⠎⠈⠈⡅⢻⣿⣯⣲⣝⢿⣤⣄⠀⠀⠀⠀⠀⠀⠀ ⡂⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⡇⢀⣼⣳⣧⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣻⠞⡭⣾⣞⢕⡽⠊⠁⣐⠵⠒⠋⣩⡴⢲⠉⢥⠴⠚⠓⣆⢻⣻⣾⡖⠹⣫⣿⣇⣀⣀⠀⠀⠀⠀ ⠁⠀⢺⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣾⣿⣟⣿⡦⢿⣿⣿⢿⡿⢿⣻⡶⣿⣿⡿⣫⣿⣿⢿⣿⣿⢟⣢⠖⠋⣀⠴⠚⣋⡴⢾⣿⡶⢶⠥⠀⣉⠜⢺⣿⣿⣽⡿⡊⢿⣽⣗⣮⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣟⠀⢼⡿⣿⣟⣠⣾⣿⣷⣿⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣶⣿⣾⣵⣴⠯⣷⣾⠛⠉⠤⠢⢒⡿⠃⠀⠘⣿⣿⣿⣿⣮⣦⣘⣿⡾⢤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣶⣌⣀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡿⣟⣛⡯⠥⢀⡒⠀⣠⠋⠀⠀⠀⠀⠸⢽⣿⣷⣦⠱⡵⡹⣿⣇⢓⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡯⢀⣠⡦⠴⠚⠁⠀⠰⠁⠀⠀⠀⠀⠀⠀⠀⢻⣿⣷⣱⣜⡷⡜⣟⣽⡀⠀ ⠀⠀⠠⣼⡿⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⣽⣾⣿⣿⡿⠟⣻⣵⠟⣫⡞⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢻⣿⣿⣿⣞⣾⣿⣿⡇⠀ ⠀⠀⠠⠿⠾⣷⣏⡓⣒⡦⠤⣀⡀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⡿⣿⣿⣿⡷⠶⣿⣿⡯⠛⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠘⣾⣿⢿⣿⣿⣿⣯⡿⣇⠀ ⠀⠀⠀⠀⠀⠈⠻⣍⠛⠓⠿⠦⣭⣟⡯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣫⣿⣟⣵⣿⡿⠟⢋⣑⢾⡿⠃⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠁⣿⡿⣿⣿⣿⣻⡜⡌⠂ ⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠁⠀⠙⠓⠦⣍⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣫⣿⣿⣿⠏⠁⠀⢩⢮⠏⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁⣰⠏⣷⡿⣾⣿⣿⣷⢱⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀⠀⠀⠈⠙⢦⣉⠻⣿⣿⣿⣿⣿⣿⣿⢿⣵⣿⠟⣱⠏⠀⠀⢀⣎⡎⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠏⠀⡏⡇⢿⣿⣿⣿⢸⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣷⣄⠀⠀⠀⠀⠀⠀⣼⣧⡈⠻⣿⣿⣿⣿⣫⣾⣿⡟⢠⡟⠀⠀⢀⣸⣾⠴⣶⣞⡿⣿⡿⢿⣿⣿⣶⣦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⢱⡇⡾⣿⣿⡇⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣆⠀⠀⠀⠀⢒⢲⡚⢿⡄⠈⢑⣿⣿⣿⣿⡿⢠⡟⠀⠀⠀⢀⣾⠁⠀⠀⠀⠀⠀⢁⠀⠈⠙⠿⢿⣿⣿⣿⣷⣶⣆⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠜⠁⣾⢀⣇⣿⣿⢡⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡞⣿⣿⣿⣄⠀⠀⠀⠋⢀⣭⣭⣷⣰⣳⣿⣿⣿⣿⡇⣾⠁⠀⠀⠀⣼⡇⢀⣠⣤⣴⣶⣶⣾⣶⣶⣤⣄⣄⡹⠛⢿⣿⣿⢿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⣸⢹⣿⣿⣾⣼⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣷⣧⣿⣿⣿⣿⣴⣇⠀⣰⠋⠁⠛⡽⠟⣫⢾⣿⣿⣿⣷⠃⠀⠀⠀⢸⡽⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡂⠀⠀⠉⠀⠀⠀⠀⠀⠂⠀⢠⣴⡶⣤⣀⠋⢰⣟⣿⡿⣿⣷⢹⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢾⢸⣼⣼⣿⣿⣿⣿⣞⣶⡿⢄⣀⠀⠙⣿⠁⡿⢻⣿⢻⡜⠀⠀⠀⠀⢠⠇⠀⠀⣹⣿⣿⡿⠿⣿⣟⣿⠋⣿⡿⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠿⢿⣿⣿⣿⣿⣷⣽⣿⣿⡿⡎⡞⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡾⣿⡿⣿⣇⣿⣿⣿⣿⣮⠳⠈⠛⠙⠦⣜⣆⢳⢸⣿⢸⡇⠀⠀⠀⠀⢸⠀⠀⠀⠙⠻⣿⣿⣶⣶⣛⣁⣠⣽⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⡀⠀⢉⣿⣿⣿⣿⣿⡼⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡾⣷⡏⣧⣇⣿⣿⣿⣿⣿⡟⣷⡀⠀⣠⣤⡔⠈⢸⠀⣿⣸⡇⠀⠀⠀⠀⢸⠀⠀⠠⠀⠀⠘⠩⠯⠼⠂⠉⠀⠚⠻⠇⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣷⣿⣿⣿⣿⣧⣾⣿⣿⣿⣿⡿⢅⡀⠀ ⠀⠀⠀⠀⠀⠀⢰⣧⣿⣷⣿⣿⢿⣿⣿⣿⣿⣧⣻⣿⣦⣙⠛⠃⢀⣼⡇⠇⠻⣇⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠿⠿⢻⡿⢻⣿⣿⣿⣿⣯⣿⣿⡥⠴⡝⢦ ⠀⠀⠀⠀⠀⠀⣸⢙⣟⡇⣷⣿⣟⣿⣿⣿⣿⡇⠙⠻⣿⣿⣿⣶⣿⡿⢳⠀⠀⣿⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢯⡳⣶⣏⣁⣼⣿⣿⣿⣿⣽⣟⣿⠁⠀⠛⠀ ⠀⠀⠀⠀⠀⠀⠇⢸⣿⠁⣿⣹⣿⣿⣿⣿⣿⡇⠀⠠⠻⣹⣿⣿⣿⡇⠸⡄⠀⢯⣇⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⢇⠀⠀⠹⢌⡙⠟⢿⣿⣿⣿⣷⣿⣿⡟⠀⣠⠤⠈ ⠀⠀⠀⠀⠀⠀⠀⠸⢸⢠⣿⣏⣿⣿⣿⣿⣿⣇⣠⣴⣾⣿⣿⣿⣿⡇⠀⣇⠀⠈⠈⢦⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⣀⡀⠀⠒⠲⢼⡄⠀⠀⠀⣠⠆⣿⣿⣿⣿⣿⣿⡿⠛⠉⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡏⢸⣿⣿⣿⣿⣿⣿⣿⢱⣿⣿⣿⣿⣿⣿⣿⡇⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠈⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠾⣿⣛⠗⣀⣤⡾⠁⠀⠀⠀⠰⣸⣿⣿⢿⣿⣿⠏⠀⠀⢠⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠇⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⣿⣿⣿⢿⠁⠀⠀⠙⠄⠀⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡉⠙⠛⠋⠀⠀⠀⠀⠀⢰⣿⣿⣷⣿⠟⠁⠀⠀⢀⡾⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠠⣿⣿⣿⣻⣿⣿⣿⡇⣿⣿⣿⣿⣿⡟⠁⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠄⠀⠀⠀⣠⡄⣀⣠⡤⠖⠚⠋⠻⡷⣖⠀⠀⠀⠀⠀⣰⣿⣿⣿⠟⠁⠀⠀⠀⢀⡞⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡼⣧⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢿⣷⣶⠶⠾⣤⣬⡀⠻⣟⡆⠀⠀⢀⣼⣿⣿⡿⢳⠀⠀⠀⠀⡠⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠇⣸⣿⣺⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠉⠁⠘⠿⠦⠋⢹⢷⠞⢀⣀⣴⠟⢋⣿⠟⠀⣸⠀⠀⠒⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣾⣽⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢤⡀⠀⠀⠀⠀⠀⠀⠀⠘⠭⢿⣗⡒⠒⢋⣣⠖⡟⣙⣥⡾⢻⣥⣦⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣼⢸⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⢹⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣦⣀⠀⠀⠀⠠⠀⠀⠀⠀⣰⣾⠋⣡⠖⡏⢯⣿⣿⣿⠋⠧⢏⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣴⣿⣿⣿⣿⣭⡀⠀⠀⠀⠀⠀⠀⠸⠇⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⣻⣶⣤⣀⢀⣠⡴⠟⣱⠫⠋⡄⠀⡏⢈⣿⡿⠋⣤⡔⢆⣭⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⠀⣾⣧⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣸⣿⣿⣿⣿⡏⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⡏⠉⠀⠉⣿⡏⢀⢀⡟⠀⢰⠁⠀⡇⡏⠁⠀⠀⣹⡿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⣾⣿⣿⣿⣿⣿⣿⣿⠿⠓⢋⡁⢘⣿⣿⣿⠱⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠃⠀⠁⠀⢰⠀⣿⠁⠀⢘⠀⠀⡟⠀⠀⡇⠑⢦⣰⣾⣿⠁⢌⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠄⠀⠀⠴⠼⠿⢿⣿⣿⣿⡛⠋⠉⠀⠀⠀⠘⣄⣿⣿⡿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢻⡄⠀⠁⠀⢺⠀⣿⡆⡀⠀⡀⡆⠀⢠⠀⡇⢠⡴⠛⠫⢼⡁⣸⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣟⢶⣤⣄⡀⠀⠀⠈⢻⣿⣷⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⡄⠙⢦⣀⠀⠸⣿⣿⣷⢰⡀⣇⡇⠀⠈⠀⡇⠘⢇⠀⣴⣾⠵⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⡀⠀⣴⣿⢏⢡⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⠿⠛⢿⣿⣾⣿⠹⢌⢂⣿⣿⣧⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣏⠲⣉⣞⣿⣿⢏⠲⣈⣾⣿⣿⡟⡉⠟⣿⡄⠀⢀⣤⣾⣿⢿⣷⡀⠀⠀⠀⠀⠀⣼⣿⡟⣉⠋⣽⣿⡀⠀⠀⠀⠀⠀⣰⣿⠿⡛⡿⣿⡄⠀⢀⣤⣶⡿⣿⣷⣆⣀⣿⡟⠣⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣤⠁⢎⠿⡋⢦⣷⣿⣏⣀⣹⣟⡨⠱⢸⣿⣶⣿⡏⢉⠌⣺⣿⡇⠀⠀⠀⠀⢸⣿⢛⠰⢂⠥⣻⣿⠃⠀⠀⠀⠀⠀⣿⣯⠑⠤⡙⣿⣷⣴⣿⣿⠉⣅⠣⣾⣿⠁⣿⡌⠱⣿⣿⣦⣴⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡄⠣⢄⠃⢯⠙⢫⠟⠿⣿⣷⣡⢊⣿⣿⡗⣐⠪⣜⣾⣿⡿⠿⣿⣷⣶⣾⣿⠢⡙⠄⢎⣽⣿⣧⣶⣾⣷⣦⡀⢻⣷⣨⢡⠘⣿⣿⣿⠏⠰⣈⠰⣡⣿⡏⢘⣿⡬⢑⣿⣿⡟⠯⡙⢻⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⡿⢉⠥⣈⣜⣢⢌⠲⡌⣌⣿⣿⣷⣫⢿⡟⢢⣵⣿⠿⢻⣿⡐⡡⢂⠌⡹⣿⣿⣱⠌⡘⣼⣿⣿⠩⢡⠃⣍⣿⣇⠈⢿⣷⡤⢩⣿⣿⢋⠌⢳⢠⣳⣿⣿⣤⣴⣿⣇⢺⣿⣿⠥⠓⢄⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣿⡿⢋⢡⠰⣥⡚⠸⣿⣿⡿⢿⣿⣿⡿⠿⡛⢆⠲⢌⡜⠻⠿⢷⣾⣿⣿⣴⣬⣆⣥⡘⢩⠐⢎⡐⠿⢟⠠⢃⠂⡱⣤⣿⣿⣦⣼⣿⣷⠣⢌⠃⣌⣾⣶⣿⣿⣿⠋⢍⡉⢛⠋⠜⢋⡰⣈⣵⣾⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠏⠤⣉⢢⣿⣿⣗⠡⢌⠻⣿⣾⣟⢂⣑⣂⣱⣮⡄⢢⣬⡇⠔⠬⡐⢻⣿⡟⠛⠛⢿⣿⣷⢈⣚⣾⣿⣶⣌⣦⣷⣿⡿⢛⠛⢩⣙⣻⣿⠁⢎⡘⠸⣛⠿⣿⣿⣿⣾⣠⣑⣮⡜⣈⢂⠡⢻⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣤⣷⣼⡿⠛⢹⣿⣇⠊⡐⣿⣿⠿⠿⣿⣿⣿⣿⠘⠌⣿⡿⠿⠶⠿⠟⠋⣠⣴⡿⠿⢋⠇⣬⡔⠩⠻⣿⣿⣿⣿⣋⠔⣩⣶⣴⣾⣿⠏⡜⠠⢼⣧⢀⠣⡰⣈⢿⣿⣿⣿⣿⠟⣠⠊⡕⡈⠿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠉⠁⠀⠀⠀⢿⣿⣶⣵⡿⠁⢀⣴⠟⠁⢸⣿⢈⠲⢽⣷⠀⠀⠀⣠⣾⠟⡱⢌⠒⣉⢾⣿⣿⣇⠲⡁⢻⣿⡿⠿⠿⠟⠋⠉⣿⡏⠜⡠⢃⣿⣿⡎⠴⢁⢢⣹⣿⡿⢋⠡⢚⣼⣷⡜⡰⢈⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⢀⣴⠟⠁⠀⠀⢸⣿⣂⠑⣺⣿⠀⠀⡰⣿⣏⠐⡱⣈⢒⣾⠟⠁⠸⣿⣆⠱⢸⣿⡇⠀⠀⠀⠀⠠⣿⣍⠢⣁⢎⣿⠋⠛⢿⣶⣷⣿⣿⠣⢌⠰⣳⣾⣿⣿⣄⣣⢽⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⠟⠁⠀⠀⠀⠀⠀⢻⣷⣽⣾⠏⠀⠀⠀⠹⢿⣷⣷⠿⠛⠁⠀⠀⠀⠘⢿⣶⣽⣿⠃⠀⠀⠀⠀⠐⠻⣿⣶⣬⣿⠏⠀⠀⠀⠙⢿⣿⣿⣶⣬⣷⡿⠋⠈⠻⣿⣿⣿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⣥⠀⠀⢤⣶⡀⠀⠀⣀⠀⠀⠀⠀⣠⡀⠀⠀⣍⠉⠁⠀⢲⡄⠀⠀⠀⠀⣀⠈⠉⠀⡀⠀⠀⠀⣀⠀⠻⣎⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠇⠀⢀⣿⠇⠀⠀⠐⣿⠀⠀⠀⠀⣿⡇⠀⠀⢸⣷⠀⠀⠸⣿⡀⠀⠀⠐⣿⡄⠀⠀⢸⣆⠀⠀⠹⣷⡀⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀⠀⢸⡿⠀⠀⠀⢰⣿⠀⠀⠀⠀⣿⡇⠀⠀⠈⣿⠀⠀⠀⣿⡇⠀⠀⠀⢻⣧⠀⠀⠸⣿⠀⠀⠀⢻⣧⠀⢹⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠁⠀⠀⣿⠃⠀⠀⠀⢸⡿⠀⠀⠀⠀⣿⠇⠀⠀⠀⣹⡇⠀⠀⢹⣷⠀⠀⠀⠘⣿⡄⠀⠀⢻⡆⠀⠀⠈⣿⡄⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣾⡇⠀⣀⣰⣿⣀⣀⠀⣀⣾⡧⡀⠀⠀⢺⣿⠀⠀⠀⠐⣿⡇⠀⠀⣾⣏⠀⠀⠀⢠⣿⡇⠀⠠⣼⣷⠀⠀⠀⢻⣇⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢴⣿⠁⠀⠈⠉⠁⠀⠉⠙⠉⠋⠉⠐⠛⣶⣾⣿⡦⠴⢦⣴⡿⠇⠤⣾⠿⠿⠂⠤⠤⠾⠛⠷⠤⣶⠞⠟⠐⠒⠒⠺⣿⡄⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣼⠇⠀⢀⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⣿⠀⣠⠸⣧⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠀⠀⠀⠀⠀⠀⢀⣤⡶⠞⠛⠉⠉⣻⣿⣂⣤⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⠾⢿⣤⣼⠃⢀⡏⠀⣿⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡇⠀⠀⠀⠀⣠⡾⠋⠁⠀⠀⠀⢠⣾⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠛⠁⠀⠀⢀⣿⣿⣶⡾⠃⠀⣿⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⡿⠀⠀⠀⠀⢲⡟⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠁⠀⠀⠀⣰⣿⣿⣿⣿⡇⠀⠀⣿⠀⠀⢹⡅⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠘⢷⡄⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⢠⣿⣿⣿⣿⡿⠃⠀⢀⡿⠀⠀⢸⡇⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀⠀⠀⠀⠀⠀⠀⠙⠓⠦⠤⣤⣿⡿⠿⠛⠋⠀⠀⠀⠀⠀⠀⣠⣶⡾⠶⢷⣦⠀⠸⣧⣀⠀⠀⠈⢿⣿⣿⠟⠁⠀⠀⢸⡇⠀⠀⢸⣧⣀⣴⣾⣿⣿⣿⣿⢿⣟⣿⣯⣿⣟⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡁⠳⠄⣠⡿⠁⠀⠀⠉⠛⠛⠛⠋⠉⢀⣀⠀⢀⣤⣿⠁⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣻⣾⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⣿⡁⠀⠀⠀⠀⠀⣀⣠⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠙⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠶⢖⡚⢯⡱⢎⣼⣿⠃⠀⠀⠀⣸⣿⣿⣿⣟⣿⣿⡿⠋⠁⠀⠀⠈⠙⢿⣿⣿⣿⣻⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⢸⣿⣧⡀⠀⠀⢰⣾⠋⡅⢦⡘⡽⣛⢷⣤⡀⠀⠀⠀⠘⣿⣄⠀⠀⠀⠀⠀⠀⣀⡆⠀⠀⠀⠀⠀⠀⢉⡔⡎⣝⣲⣙⣾⡿⠃⢠⡆⠀⠀⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣽⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⣿⠃⠈⠿⣦⣀⠏⢮⡱⣚⢦⢳⠳⣍⠶⣌⠻⣦⡀⠀⠀⠘⢿⣦⣄⣀⣀⣤⣾⠟⠁⠀⠀⠀⠀⠀⣐⢣⣜⡳⣭⣶⡿⢫⠀⠀⢸⡇⠀⢰⣿⣿⣿⢿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣯⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⠰⡟⠀⠀⠀⠈⠻⣿⣦⣳⣍⠲⣍⠳⣌⠳⡌⢣⠘⢷⡄⠀⠀⠀⠈⠉⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⣌⣳⣾⡿⠟⠉⠀⣿⠀⠀⢸⡇⠀⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣽⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠇⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠰⣸⡇⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⠾⣵⣌⣲⡑⠂⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⠾⠛⠋⠁⠀⠀⠀⠀⣿⡄⠀⢸⡇⢀⣿⣿⣿⣿⣻⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣻⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠳⠶⢤⣤⢤⣤⣤⣤⠶⠶⠶⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⠀⢸⣇⣸⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣿⣿⣿⣟⣿⣿⣿⣦⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣤⣴⣾⣿⣿⣿⣿⣟⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣯⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⢴⣿⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠷⠿⠧⣤⣤⣤⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏⠀⠀⠀⠀⠀⢀⣀⣀⣀⣽⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⣿⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⣾⠏⠀⠠⠖⠛⠋⠉⠉⠉⠉⠉⠉⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠀⠀⠀⣸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⠀⢰⡿⠀⠀⠀⠀⠀⠀⢺⡇⠀⠀⠀⠀⠀⢠⣾⠿⠶⠶⠶⠶⢦⡄⠀⠀⠀⠀⠀⢀⣤⣿⣄⡀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣽⣿⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⢸⡇⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⠶⠞⢛⣿⠋⢹⣧⠀⠀⠀⠀⠀⣼⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣟⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠀⠀⠀⣸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⣿⠁⠀⠀⠀⠀⠀⣸⡿⠀⠀⠀⠀⠀⣾⣧⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠘⠛⠛⣿⣟⣷⣤⣿⣿⣿⡿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⡿⣿⣿⣻⣿⣟⣯⣿⣿⣿⣿⣻⣿⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁⠀⢰⡟⠀⠀⠀⠀⠀⠀⣽⡇⠀⠀⠀⠀⠀⣿⠃⠀⠀⠀⠈⠉⠛⠛⠶⠶⠛⠛⠋⠁⠀⠀⠀⠀⢺⣿⣿⡏⠁⠀⣿⣿⣿⣿⢿⡿⣷⣿⣻⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣟⣿⣿⣾⡿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⢿⣳⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⣼⡇⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀⠀⢀⢠⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠰⣧⣼⣿⠀⠀⣿⣿⣿⣾⣿⢿⣟⣿⣿⣽⣿⣿⣯⣿⡿⣷⣿⣟⣿⣟⣿⣿⣻⣿⣿⣿⣿⣽⣷⣿⣻⣿⣿⣿⣷⣿⣿⣿⣿⣿⣯⣿⣿⣽⣿⣟⣿⣿⢿⣽⡿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⢀⣿⠀⠀⠀⠀⠀⠀⣸⡿⠀⠀⠀⠀⢠⡟⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⠶⠛⠛⣿⣶⣶⠟⠀⠙⣦⠀⣿⣿⣿⣯⣿⡿⣿⣿⣾⣿⣽⣾⣿⣻⣿⣿⣟⣿⣿⣿⣻⣿⣿⣻⣿⣿⣿⣿⣿⣻⣿⣯⣿⣟⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣯⣿⣿⣾⣿⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⢀⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⢸⡇⠀⠀⠀⠀⠀⢀⣿⠇⠀⠀⠀⢀⣿⠃⠀⠀⠈⠙⠛⠒⠒⠒⠒⠛⠛⠋⠁⠀⠀⠀⠀⢻⡇⠻⣆⠀⠀⠈⢷⣾⣿⣿⣽⣷⣿⡿⣷⣿⣯⣿⢿⣾⣿⢯⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣾⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣾⡿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠶⠶⢶⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⢠⣾⠇⠀⢀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⣿⠃⠀⠀⠀⠀⢀⣸⡟⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⣿⡴⠻⣧⡀⠀⠀⠻⣿⣿⣿⣟⣿⣿⢿⣷⣿⣻⣿⢿⣾⣿⡿⣿⡿⣟⣿⣿⣻⣿⢿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣯⣷⣿⣿⣿⣿⣿⣿⢿⣾⣿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣤⣴⣿⠋⠀⠀⠀⠠⠻⡁⠀⠘⣿⠓⠲⣄⠀⢀⣴⡟⠁⠀⢠⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⢠⡿⠀⠀⠀⠀⠀⠌⣿⡇⠀⠀⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣄⠘⢷⣄⠀⠀⠈⢻⣿⣿⣿⣽⣿⣯⣿⣟⣿⡿⣷⣿⢿⣟⣿⣿⣿⣷⣿⣿⣿⣿⣷⣿⣯⣿⣟⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣾⣟⣿⣾⡿⣿⣿⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡶⠿⠻⢿⣿⠛⠉⠿⢦⠀⠀⠀⠀⠀⠁⠀⢴⡏⠀⠀⢻⣦⣼⠟⠁⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⣼⡇⠀⠀⠀⠀⢠⣴⡿⠁⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣦⣈⣻⣦⡀⢀⣨⣿⣿⣿⣿⣿⣿⣟⣿⣿⣷⣿⢿⣾⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⡷⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣰⣿⠁⠀⠀⠀⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣴⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠇⠀⠀⢰⡟⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠙⠉⠉⠀⠀⠀⠈⠙⢿⣿⣿⣻⣽⣿⣿⣯⣷⣿⣟⣿⣯⣿⣟⣿⡿⣿⣿⢿⣷⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⡿⣷⣿⣿⠇⠀⠀⠀⠀ ⠀⠀⠀⢠⡾⠋⠉⠙⠷⣄⠀⠀⠀⠀⠀⠀⢀⣤⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡏⠀⠀⢀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣷⡿⣟⣿⣽⡿⣿⣽⣷⣿⣿⣿⣿⣿⣿⣿⣻⣿⢿⣟⣯⣿⣿⣯⣿⣿⡿⣿⣯⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⣿⡁⠀⠀⠀⠈⠀⠀⡀⠀⠀⣼⡟⠁⠀⢹⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡤⠶⠛⠛⠛⠛⠳⠶⠦⣤⣀⣀⣀⣀⣀⣠⣴⠆⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣾⣿⡿⣿⣟⣿⡿⣟⣿⡿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣻⣯⣿⡿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡿⠃⠀⠀⠀⠀⣠⡿⠋⠀⠀⠻⣦⣀⣤⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢤⠀⠀⠀⠀⠀⠀⠀⣦⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣷⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣻⣿⣿⣿⣿⣾⣿⣿⣿⡿⣟⣿⣷⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣤⡶⠟⠃⠀⠀⠀⠀⠸⣿⣄⣀⣀⠀⠀⠈⠹⣿⡀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⠶⢶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣾⣿⣷⣿⣿⠻⣝⣿⣿⣿⣿⡿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⡟⠁⠀⠀⠀⠀⠙⠻⠛⠋⠀⠀⠀⠀⠀⣰⠞⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⡀⠀⠘⣦⣄⣴⠏⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠷⠶⣶⣶⠶⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⡏⠢⢄⢻⣿⠿⠿⠿⠿⠿⠿⠛⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠁⠀⠀⢠⣴⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⡏⠀⠀⣰⡶⠀⠀⢠⣄⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⡀⠀⣹⠏⠀⡀⠀⠀⣠⣿⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠙⡤⠃⣼⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠛⢻⡟⠀⠀⠀⠀⠀⠈⠿⣧⣤⣤⣾⣿⣀⣀⣼⠗⠀⠀⠀⠀⠀⠙⠷⢶⠶⢿⣇⣀⣀⣾⣯⣀⣠⡾⠏⠀⠀⠀⣀⠀⠀⠀⣄⠀⠀⠀⢰⡶⠀⠙⠻⠞⠋⠀⠀⠻⣷⡿⠟⠋⠀⠹⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡟⡡⢎⢰⣱⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣇⡀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠈⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠋⠁⠉⠉⠁⠀⠀⠀⠀⠀⣿⡄⠀⢀⣿⣧⣀⣠⡾⠃⠀⠀⠀⠀⠀⣀⣀⣠⡿⢧⡀⠀⠀⠈⠀⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⣟⡏⠻⣿⡆⠀⠀⠀⠀⠀⣠⡾⣿⣿⣰⣔⣾⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠛⠛⠛⠛⠛⢻⡿⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠾⠋⠁⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⢹⡿⠁⠀⠘⢻⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠍⡉⠐⢠⣿⡇⠀⠀⣠⡴⠛⠁⠀⠀⠉⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡀⠀⠀⠀⠀⣸⡟⠀⠀⠀⣀⠀⠀⠀⢠⣿⠁⠀⠀⠀⣴⠆⠀⠀⠀⠀⢀⡄⠀⠀⠀⢠⡆⠀⠀⢀⣦⠀⠀⠀⠀⠀⣰⡆⠀⠀⢀⣿⠃⠀⠀⠀⠀⠈⠙⠓⠶⠦⢤⣤⣤⣀⣀⣀⣀⣤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠛⢃⠠⢀⣡⣿⣿⠴⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠷⠶⠶⠾⣿⣇⠀⢀⣼⣿⣦⣤⣴⣿⣿⣄⣀⣠⣾⣿⡁⠀⠀⠀⣀⣾⣏⡀⣀⣀⣾⣯⡀⢀⣼⣷⠀⠀⠀⣠⣾⠟⠛⠳⠶⠿⠷⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡴⠾⣿⡃⢀⠂⣤⣶⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠉⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠉⠛⠛⠛⠋⠀⠈⠙⠛⠉⠀⠈⠉⠉⠁⠈⠙⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣤⡶⠶⠛⠋⠁⠀⠀⠻⢷⣾⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢀⣀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠉⠉⠛⠛⠓⠚⠓⠛⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⡿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣀⣀⢘⣿⣻⣿⢿⡿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⠿⢿⣿⣿⣿⣿⣿⡯⢻⣷⣿⣿⣶⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣯⡐⢂⡐⠞⡿⢿⡁⠖⠻⠟⠿⡟⢯⢹⡯⣿⣟⣿⠿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣷⣿⣾⢽⣂⠣⠌⡛⢿⡟⣿⣾⣿⣿⣿⣿⣾⢃⢻⣿⣹⣿⠀⣀⣀⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⠣⣾⣷⡈⢆⣡⣿⣿⠿⠿⠻⣿⣾⣿⡿⣧⢼⣿⣿⣿⣿⢿⡿⣿⡿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡿⠟⢡⢣⢭⣿⣹⣠⢌⡟⣿⣝⢦⡡⢙⣻⣿⡿⣵⢿⣿⣿⢿⡛⣤⣿⢿⣻⣿⠃⠀⠀⠀⢀⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡽⣤⣟⣼⡿⢿⣿⣯⣻⣿⠟⢿⣷⣿⣿⣿⣿⣛⡬⠻⢅⣿⣎⣿⣿⣿⣿⣿⣿⣶⣦⣀⣴⣿⣿⣿⢻⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⣷⡾⠟⠋⠀⠀⠙⠋⠉⠁⠀⢀⣼⣿⡿⢃⠎⡱⣾⢁⠎⡘⣻⠿⣿⣟⡫⢉⠟⢿⣿⣿⣿⣿⠴⣦⣿⣽⣿⣶⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⢯⡙⠄⣃⠚⣹⣿⠣⢆⡐⢡⢚⣹⣿⡷⣧⡌⢂⠻⠾⠲⡖⠢⣿⣿⡿⢻⢶⣾⣿⣿⠀⢀⣤⣶⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠃⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⣿⣿⠾⢶⡥⢾⣵⡿⣿⣿⡶⢌⣶⣡⣿⠿⢿⣾⣿⡣⢌⢁⠣⢉⠆⡩⣁⢊⣡⣚⣿⣿⡏⢀⣾⣿⡟⠻⢹⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⢟⠃⠀⠀⠀⠀⣀⣴⠾⠛⢛⣷⡄⠀⠀⠈⡻⠿⣿⣶⠿⠛⠋⠀⠘⠿⡷⣿⣷⠿⠋⣠⣾⣿⠻⣑⢊⠤⡘⢄⠢⣅⣹⣿⣿⣿⣿⣿⣷⣾⣿⣿⣁⠃⣿⣿⣿⣀⣤⣤⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⢟⡁⠈⠀⠀⠀⣠⣾⠋⡥⣰⡾⠟⠋⠀⠀⠀⢀⢈⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⢛⣋⣐⣤⣯⣿⡏⢄⠣⠄⣿⣿⣿⣩⡉⡙⢻⣿⣿⡟⠤⣉⣾⣿⣿⢿⣟⣿⣿⣿⢀⢀⣤⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⢃⠀⠀⠀⢀⣠⡾⠛⠇⠢⣼⡟⠁⠀⠀⠀⢀⣴⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣾⣥⣭⣷⣾⣿⣌⣆⣣⢌⣧⣿⣿⣝⠶⣅⢢⡔⢠⠘⡐⢰⣾⣿⣿⣾⣿⣿⣿⣿⣥⣿⣿⡟⣿⡻⣷⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠀⠀⠀⠀⢠⡿⠟⠀⠀⠀⠀⣿⣄⠀⠀⠀⣠⡿⠃⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠟⠛⠃⠘⢿⣿⣜⣛⣻⣿⡿⠿⣿⣿⣿⣿⠀⡄⠇⡸⠸⣿⣿⣿⣿⣿⣿⣿⣤⣼⣿⡟⣸⣿⣻⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠀⠀⠀⠀⣴⠟⠁⢸⣆⠀⢠⡄⣠⣅⠀⠰⣼⡟⠀⠀⠀⠀⠂⣴⡿⠁⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠉⠀⢀⣾⣿⢇⠂⡍⡐⣦⡐⠹⠿⢿⣾⣿⣿⠿⠿⢿⢿⠿⠉⠽⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⢀⣾⠏⠀⢀⣼⣿⣴⣿⣷⣶⣿⠀⠀⠘⠛⠷⢶⣜⣠⣾⠋⠀⠀⠀⠀⠀⣼⡗⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⢣⡍⢢⡑⠲⣧⣿⣎⠡⢓⡭⣿⣿⣶⣡⢊⠔⡂⢂⠉⡜⡿⣍⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀⠀⠀⣠⣹⡏⠀⡀⣼⣿⣿⣿⣿⣿⡟⢿⣇⠀⠀⠀⠀⠀⠘⠛⠻⢷⣦⣄⠀⢠⣼⡟⠀⠀⠀⠀⣸⡇⠀⠀⢠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⣮⣡⣿⣿⢿⣿⣛⣾⣟⣿⠟⣻⣿⡿⢗⠂⡱⣈⠜⣼⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠃⠀⢠⡆⢋⣿⠀⢀⢹⣿⣿⣿⣿⣿⠏⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢻⣿⣯⠆⠀⠀⢸⣰⡿⠁⠀⠀⢸⣿⠀⠀⠀⠀⣶⠀⠀⠀⠀⠀⠈⠛⠋⠉⠀⠀⠛⠻⠿⠟⣻⣿⠟⢫⠐⣊⣷⣿⡷⡘⣯⣿⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⣾⠁⢸⡇⠀⠀⠘⢿⣿⠟⠋⠁⠀⠀⢘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⡁⠀⠂⠀⣾⣿⡅⠀⠀⢠⣾⡏⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣯⡵⣠⡾⣴⣾⣿⣻⣁⣽⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⢰⡟⠀⢸⡧⠀⠀⠀⠈⠙⠳⠶⣤⣤⡴⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⢀⣷⣤⢻⣇⠉⠁⠰⣾⡟⣠⠀⠀⠐⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣷⡶⠟⠋⠉⢻⣿⣛⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⣿⠃⠀⢸⣿⠀⢆⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⣠⢠⣿⣷⣾⣿⣷⣿⣷⣄⠀⡀⠀⠀⠀⠀⢠⡾⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠈⠉⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⣿⠀⠀⢸⣿⣍⠐⢢⢁⢂⠀⠀⠀⠀⠀⠀⢠⣾⡶⣤⣄⡀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⡇⠉⢿⣷⡁⠀⠀⠀⠀⢸⡟⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⢸⣿⠀⠀⠈⢸⣿⡈⠆⡌⡘⠃⠀⠀⠀⠀⠀⠻⣯⣃⣘⣿⠇⠀⠀⠀⠘⡿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠃⣿⡇⠀⠀⠀⠀⠘⠂⣿⡇⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⣿⠀⠀⠀⠀⢻⣷⡨⠴⠀⠀⠀⠀⠀⣦⠀⠀⠈⠉⠋⠁⠀⠀⠀⠀⠀⠁⢹⣿⣿⠛⠉⠀⠀⠀⠀⢤⣿⠃⠀⠀⠀⠀⠀⠁⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⣿⡄⠀⠀⠀⠀⠙⣿⡄⠀⠀⠀⠀⠀⢻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠳⠶⠴⠦⠶⠾⠛⠁⠀⠀⠀⠀⠀⠀⢼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣿⡀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠌⠻⣦⡄⠀⠀⠀⠀⠉⠻⣦⣤⣀⣀⣰⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⣴⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠈⠻⣦⣄⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠤⠰⢆⣠⣄⠀⠀⠀⠀⠀⠀⣰⣿⠁⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠖⡹⢎⢣⠑⡆⡘⣿⡂⠀⠀⠀⠀⣀⣿⡟⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⢀⣤⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠾⠻⢿⣭⣛⠓⠦⣤⣤⣀⣀⣀⠀⠀⠀⠌⢢⠑⠊⠄⠣⡔⢡⣈⣣⣤⣤⡶⠟⠛⣿⠃⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢾⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡀⢀⣴⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⢀⣠⣾⡴⠾⠛⠉⠀⠀⠀⠀⠈⠉⠛⠛⠛⠛⠛⠛⢿⡻⠿⠶⠾⠶⠾⠶⠿⠷⠟⠛⠛⠉⠉⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⡗⠀⠀⠀⠀⠀⠺⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⢻⡿⣬⠛⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣇⢀⣀⣠⣿⡟⠋⠉⠉⠻⣄⠀⠀⠀⠀⠀⠳⠶⣤⣀⣀⡀⠀⠀⠀⠈⢻⣦⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⠀⠀⠀⠀⠀⠆⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⠛⢻⣷⣦⣤⣀⠈⡙⠛⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠗⠛⠛⠉⠉⠉⠁⠈⢻⣦⠀⠀⠀⠉⢷⣄⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠙⠛⠓⠛⠉⠻⣯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡿⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠁⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣿⣧⣻⣿⣿⣿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣽⣷⣄⠀⠀⠀⠉⠳⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣟⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⢰⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣈⣿⢻⣿⣿⡟⠛⠛⠛⠶⠶⠶⠶⠶⠶⣤⠶⡴⠶⠶⢶⡶⠟⠛⠉⠉⠀⣼⡿⠷⣤⡀⠀⠀⠀⠈⠙⠛⠶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣯⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⢠⡟⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⡟⠁⣿⠁⣹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⣰⡿⠀⠀⠈⠙⠛⠶⢦⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣴⡶⠞⠋⠉⠉⠻⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⣇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡿⠀⠀⣿⠀⡇⠙⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⡀⠀⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⣻⠁⠉⠻⣦⡀⠀⠀⠀⠀⠛⠷⣦⣀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠹⡧⠀⠀⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠸⠼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⠁⠀⢈⡇⠀⢷⠀⠈⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠈⠻⢶⣄⡀⠀⠀⠀⠈⠛⢷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⢻⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⡏⠀⠀⣨⡇⠀⠸⣇⠀⠀⠈⠷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠉⠻⢶⣄⡀⠀⠀⠀⠈⠙⢷⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠀⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣀⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⡿⠀⠀⠀⣿⡃⠀⠀⢻⡆⠀⠀⠀⠈⠛⢶⣤⣀⡀⠀⠀⢀⣀⣤⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠷⣦⣀⡀⠀⠀⠌⠙⠻⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠐⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣷⣿⠋⠁⠈⠀⣻⣦⡶⠿⢷⣄⠀⠀⠀⠀ ⠀⠀⣿⠇⠀⠀⠀⣿⡇⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠷⢦⣤⣀⠀⠀⠉⠛⠿⢶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⢻⣿⠏⠿⠗⠀⠀⠀⠀⠙⠃⠘⢩⣎⣿⠀⠀⠀⠀ ⠀⣴⡟⠀⠀⠀⠈⡟⡇⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣏⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⠡⣾⣷⣀⣸⣷⣶⣭⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⡀⠀⠀⠀⠀⠀⠀⠀⠙⢳⣤⡀⠀⠀⠀⠀⠀⠀⣠⣴⣿⢿⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⣧⣤⣄⡀⠀ ⢰⡿⠁⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣾⣿⣿⡉⣼⣷⣄⣹⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠷⣦⣤⣀⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠈⠙⣿⡄ ⣿⡇⠀⠀⠀⢀⡠⠄⢿⡄⠀⠀⠀⠀⠻⣆⠀⠀⠀⠀⠀⠀⣠⣴⠞⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠷⣦⣀⡀⠀⠀⠀⠀⢀⣀⣤⡾⠛⢻⡏⢻⡏⠻⣿⡏⠀⠉⠛⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⠿⢶⣶⣦⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡇ ⠛⠛⠛⠛⠛⠾⣦⣄⠈⠻⠀⠀⠀⠀⠀⢻⣆⠀⠀⢀⣴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠛⠛⠋⠉⠀⠀⢠⡾⠀⠀⢻⡄⠈⠛⢿⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠈⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠿⠷⢶⣦⡄⠀⠀⠀⠀⠀⠀⠀⠺⠿⠻⢿⣿ ⠀⠀⠀⠀⠀⠀⠀⣻⣾⡳⠀⠀⠀⠀⠀⠀⠈⠀⣰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠀⠀⠀⠀⠻⣄⠀⠀⠀⠉⠛⠛⠷⢶⣤⣤⣤⣤⣤⣤⣤⣴⣿⡶⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣧⡿ ⠀⠀⠀⠀⠀⠀⠀⠡⠿⣷⣀⠀⠀⠀⠀⠀⠀⠰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⢠⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⣹⡧⠀⠀⠀⠀⠀⠀⠀⢰⢿⣻⣿⣇ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠀⠀⠀⠙⠛⠶⢦⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣦⣽⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠓⣶⣶⣶⣶⣶⣾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⡌⢻⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⣿⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣖⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡶⢿⣶⣦⣤⡀⠀⣀⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⡀⠀⠀⢿⣷⣦⣴⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⠏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⠞⠋⠁⠀⠀⠀⠈⠙⠛⠟⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⠀⠀⠀⠙⠿⢶⡶⠾⠋⠉⠉⠁⠀⠀⠀⠀⣾⣿⣦⠤⢀⣼⠟⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠷⢶⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠰⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡿⠞⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢹⡿⠷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⢦⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣄⠀⠀⠀⠀⢐⣷⡄⠀⠀⠀⢠⣿⣦⡄⣀⣿⡇⠀⠀⠀⠀⣠⣶⣦⠀⠀⣰⣶⣄⣀⣀⣸⣶⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⢠⣾⡇⠀⠀⠈⠛⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡶⠾⠟⠛⠙⠛⠿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⡀⠀⠀⠈⣿⣷⠀⠀⠀⠈⣿⣿⣿⠟⠋⡆⠀⠀⠀⠀⣿⣧⣿⡳⣦⣿⠋⠙⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣶⣿⣿⡿⠀⠀⠀⠀⠀⠙⠳⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⠚⠙⣿⠰⠀⢦⣄⠀⠀⠀⢨⣝⡛⠿⣶⣤⣤⣤⡴⠶⠋⠁⠸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢷⣶⣶⠟⡟⢻⠷⠾⠟⠉⠈⠀⢰⣾⣇⠀⠀⢀⣠⣽⡿⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣼⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠛⠁⠀⠀⠀⣿⡐⣤⣹⡿⠦⣄⠀⣾⣿⣧⡀⠀⢀⣶⡄⠀⠀⠀⠀⢠⡘⠿⣶⡶⠶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⣶⠀⠀⠉⢶⣴⠂⠀⠀⠀⠸⢿⣿⣤⡴⠾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠷⠶⠶⣤⣤⣴⠶⠶⠛⣿⠁⠀⠀⠀⠀⠀⠀⠘⠿⡿⠛⠿⢷⣬⡴⠟⠻⣿⣯⣤⣾⣿⡀⠀⠀⠀⢀⣾⡧⠄⠀⠀⠀⠀⠀⣠⣄⠀⠀⠀⢀⣀⠀⠀⠀⠀⠠⣿⣿⡶⠄⢀⣾⣿⡷⠆⠀⣤⣶⠿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣶⣶⣴⠾⣿⡅⢀⠀⠀⠀⠀⣼⣿⡿⠂⠀⠀⣠⣿⣦⣠⠤⠀⣀⣾⠿⠛⠛⠛⠉⠉⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⠀⠀⠈⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣿⣧⣤⣤⡶⠟⠿⢶⣤⣽⠾⠛⠁⠈⠉⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⢹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⠀⠀⢀⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⣾⡿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⣼⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⢛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⣤⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠒⣒⡒⢲⠆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡄⠣⣄⠒⠛⠒⠒⠠⢤⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠗⠬⣾⠀⠸⠁⢀⣀⠸⠉⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⢀⡠⠌⠀⡖⠁⠀⢑⠞⠃⠀ ⠀⠀⠀⠀⠀⣀⠠⠤⠄⠠⠤⡄⣤⢊⢝⠡⢊⠠⠴⠊⠛⠳⠾⠆⠀⠀ ⠀⠀⢀⠔⢈⡀⢀⠀⠀⠀⠀⠀⠈⠙⢳⡖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠂⠀⠀⠀⢐⣀⣀⠀⠀⠀⠀⠀⠑⠐⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣧⠀⠀⢠⣾⣿⣷⡆⠀⢀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⠿⠿⠀⠀⢺⣿⣿⣿⠇⠀⠀⠤⠀⠀⠀⠐⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡀⠁⠆⠶⠣⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠡⡀⠀⠀⠀⠀⠐⠀⢠⡀⠀⠀⠀⠀⣁⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠶⢄⡀⠀⣠⠄⠠⠀⡁⠀⠀⢀⡤⠋⡑⠀⠤⠤⠤⠐⢁⠃⠀⠀ ⠀⢀⢐⣄⡉⠿⡅⢀⣀⢘⠣⠴⠂⠛⠣⠆⣑⡤⠄⣀⡂⠕⠊⠀⠀⠀ ⠀⠐⠥⢜⡫⣿⠾⢦⣴⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠃⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

/)/) ⁽⁽ପ( . .)ଓ⁾⁾ ⁽⁽ପ( づ━˚. ✦.˳·˖✶ ⋆.˚

𐙚 𐙚 𐙚 𐙚 𐙚 𐙚 𐙚 𐙚 𐙚 -ˋˏ ༻❁༺ ˎˊ--ˋˏ ༻❁༺ ˎˊ--ˋˏ ༻❁༺ ˎˊ--ˋˏ ༻❁༺ ˎˊ--ˋˏ ༻❁༺ ˎˊ--ˋˏ ༻❁༺ ˎˊ--ˋˏ ༻❁༺ ˎˊ--ˋˏ ༻❁༺ ˎˊ--ˋˏ ༻❁༺ ˎˊ--ˋˏ ༻❁༺ ˎˊ-

⋆.⁺ ౨ৎ⋆⁺.