Tub Emoji Combos

🧼👏🧴🤲 💦💧✨🖐️

new wash hands soap hygiene antiseptic wash hand sanitizer sanitation lather washing

🧹🧽🧼✨🛁🚿🧴🪥

new clean cleaning house cleaning clean house houseclean tidy neat spotless pristine immaculate sanitize

🫧🧼🛁

new clean aesthetic bath hygiene make clean fresh beauty clear tidy wash pure

🧽🧼🍽✨

new cleaning dishwasher scrub clean washing cleanse detergent sanitize dishwashing fresh spotless immaculate pristine antiseptic houseclean

⁣     🚿￣＼
     😓   ｜
    ⁣/|\💧 ｜
| 💧/ \   |
￣￣￣￣￣￣

new emoji art shower hygiene washing wash

🧼🧴🧽✨

new soap clean detergent cleanse antiseptic cleanser hygiene lather laundry washing shampoo bath dishwashing suds wash water

🫧✨

new soap bathroom aesthetic

✨💧🛁🧴🌼🧼🧽🚿💧🛀🏽✨

new hygiene self care shower sanitation cleanliness sanitary disinfection wash bathing hand sanitizer hygienics hygienic bath bathroom bathe care soap cleaning unsanitary washing antiseptic

✮ ⋆🧼 ˚｡𖦹 ⋆｡🫧°✩

new soap clean cleancore aesthetic bubbles bubble swirl star stars dots wash pure artistic bath cleanly washing cleanse hygiene cleanable

𖡴

new carpet rug mat cloth linen

𖢫

new carpet rug pattern mat floor cover linen patterned material tribal tribal prints ganado navajo ganado pattern navajo pattern native american pattern

\＿(´▽｀)♪＿/

new bathtub bathtub kaomoji bathtub text emoji

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣤⣶⣦⡀⢻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠘⣿⣿⣿⡇⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⡇⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣸⣿
⣿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⣿
⣿⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢻⣿
⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿
⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿
⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿
⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣼⣿⣿⣿

new bathtub bathtub dot art bathtub text art bathtub ascii art

🛁🧼🧴🧽✨

new soap clean detergent bubbles sponge shower bath shampoo soap bottle cleaning lather hygiene washing cleanse

𖢋

new carpet rug mat cloth linen

🚿🧼🧴🧽✨

new soap clean detergent bubbles sponge shower bath shampoo soap bottle cleaning lather suds hygiene washing

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠛⠉⠙⢿⡄⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣧⠀⠀⠀⢸⡇⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⢸⡇⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠇⠀
⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀
⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀
⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀
⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀
⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀
⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⠀⠀⠀

new bathtub bathtub dot art bathtub text art bathtub ascii art

🫧🧽🚿

new exflioting shower bosy shower bath bathtub exhibitioner

  o   oh-no i missed
   |
  / 💩  🚽

.˚◦○˚🧼˚○◦˚

new soap bubbles clean hygiene wash bath washing suds

･⋆˚‧･+☾‧₊‧.°.⋆.🫧 .•˚₊‧⋆:｡☽+.⋆･ﾟ

new shower bedtime self care bathtub bath bubble bath

🛁✨🧽🧼🫧   ｂａｔｈｔｉｍｅ　！ 🫧🧼🧽✨🛁

(  ≧ᗜ≦)

new pure wash cleanse sanitary bathtime cleancore clean cleanliness disinfect bathe hygiene bath

🚽🚽🙋💦

new bathroom i gots to pee!

🚿🫧

new shower bubbles bath wash

🐇🩰🕯

new pure pristine virgin plain purity coquette perfect

🚽 🚿 🛁 🪒 🧴

new toilet shower bath shaver lotion moisturiser bathroom clean hygiene

ﾟ。 
　ﾟ

new bubbles bath zeros burst bubble bath

･˚‧･+‧₊‧.°.⋆.🫧 .•˚₊‧⋆:｡+.･ﾟ

new bubble shower clean sparkle clean house bath glisten wash

𓋥🫧😶‍🌫️

new shower bathe soap bathtub bathing bath wash shower bath hygiene personal hygiene rain shower shower down water faucet washing

🛀🚽

new bathroom phrase emoji phrases

🧺🫧🧼🧴

new clean core aesthetic pure houseclean wash tidy pristine neat

♡˚🛁🛁

new asethic bathroom cute bathtub

💩 🚽 🏃🏻‍♀️

new flipped run toilet bathroom

🧖🏻‍♀️

new bath sexy aesthetic

🎀🐇⭐️🩰💗🕯❄️🥥

new pure pristine virgin plain purity coquette perfect

💓🕯🥂🛁🔮🌙 👻✨

new heart candle champagne bath crystal ball magic moon ghost sparkle spiritual witch witchcore

⋆｡‧˚ʚ 🤍 ɞ˚‧｡⋆

new cute pure kawaii white elegant kaomoji clean adorable light purity precious pristine

☁️

new bath clean bathroom wash bubble bath

🚿🧴🧖🏽‍♀️

new hygiene shampoo conditioner washup hair cleanliness

🪽🚿🛁

new dove soap shower showers aesthetic amazing bathtub bathing bathroom laundry shampoo rain shower bath suds

🚿🚽

new bathroom

ﾟ.+:｡∩(・ω・)∩ﾟ.+:｡Shower!!!!🫧🧼🩷~

new cute shower cute combos pink bubble pinkish foam pinko multicolored gurgle color colored shower froth

🩰🪤🏷🗄️🛋🛋🎡🪔🎓🏚🍽️🏘🏕️🏗🗑️🩰🪤🏷🗄️🛋🛋🎡🪔🎓🏚🍽️🏘🏕️🏗🗑️🧺

𓋥

new shower

★🧼🐱KittenBath🛁★

new kitten bath

🧝‍♀️🪐💋🌹

new gentle velvet soft polite aristocratic linen satin gently

🏚

new bathroom kitchen construction

🛏️🛁📐💵

new real estate house beds bath square feet money dollar cash bathroom bedroom bed ruler

🥵☣️🚽💩🧻💩🚽☣️🥵

new toilet bathroom flush toilet poop poop

👋🏻,💩,🚽,

new hello poop toilet bathroom shrek goodbye shit flush toilet hi english language public toilet potty urine restroom shout crap

Wool🌐

new crochet wool woolen yarn linen cotton

🤍❕🦢🪕♡

new pure elegant purity graceful pristine beauty simplicity

🐊

new crocodile cute shower nile crocodile bathtub

📺📖🗞📓🧷🪪

new idk alone paper linen book wood page report article

🚻

new toilet bathroom stick figure bathtub flush toilet restroom room shower

🧼🛁🧽🫧*•`.🫧⋆.ೃ࿔*:･

new clean soap tidy pure cleanly pristine fresh hygiene

🚽,💩,

new shit toilet bathroom

🫧🧴🪥

new clean girl bath skincare

˚✧₊🧼🛁🫧🚿🩷₊✧˚

new clean pink clean girl self care cute sparkle bubble bath clean house pure wash rose make clean tidy cleanse fresh pinkish pristine cleanable spotless cleanly immaculate neat houseclean

🧖‍♀️😉🛀🏻🤍

new shower bathing preppy bathtub

🛁🧼🧺🧼🫧

new bath cute bath cute bathroom kaomoji toilet room

🛏️🛀🏽

new bed bathroom

🚿🫧₊ ⊹

new shower bubbles bath wash

‧₊˚🧼 ✩ ₊˚🫧⊹ ♡

new soap hygiene washing bath wash clean cleancore aesthetic shampoo bubble bath health cosmetic

🫧🤍🧖🏻‍♀️

new shower washup bathroom

🧺

new laundry laundry basket washing

🧺🧼👕👚👔👖🧦👙👗

new laundry laundry basket washing washing machine

·🛁˚ ༘· ｡°‧🧼꒷︶꒷꒥

new emoji cleancore soap shampoo bath washing microsoft laundry

🧺🛁🧼🫧

new bathroom shower stall bathtub washroom bath shower

𖠋

new home bathroom chamber toilet lav

🧺🧴

new washing clean laundry “discord launder

⁉️👉🏼🚽

new bathroom poop shit

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣴⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢠⡿⠋⠉⠉⠛⠛⠛⠋⠉⠙⢿⡆⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀
⡰⠉⠉⠁⠉⡙⠹⢠⢾⣛⠛⢶⢀⡶⠛⣛⠳⡄⡏⢋⠉⠉⠉⠉⢢
⢹⠶⠶⠶⣾⠡⣾⠈⠸⡿⠷⠀⠀⠀⢾⣿⠇⠁⡶⡌⢷⠶⠶⠶⡏
⢸⠀⠀⠀⠆⠀⢻⡀⠀⠀⡀⠀⠀⠀⢀⢀⡀⠀⡟⠀⠸⡀⠀⠀⡇
⢸⠀⠀⢸⠀⠀⠈⡇⣠⠒⠓⠤⣀⠤⠘⠀⡘⢰⠃⠀⠀⡇⠀⠀⡇
⢸⠀⠀⡎⠀⠀⠀⢻⠀⠙⣶⣶⣒⣶⣶⠋⢀⡏⠀⠀⠀⢸⠀⠀⡇
⢸⠀⠀⡇⠀⠀⠀⠘⣧⡀⠈⠿⣿⡿⠁⢀⢮⠃⠀⠀⠀⢸⠀⠀⡇
⢸⠀⠀⡇⠀⠀⠀⠀⢰⠑⠄⣀⠀⢀⡠⠊⡌⠀⠀⠀⠀⢸⠀⠀⡇
⢸⠀⠀⠘⢄⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⡠⠃⠀⠀⡇
⠈⠦⣀⣔⠂⠋⠒⠲⠶⠾⠤⠤⠤⠤⠤⠷⠶⠖⠒⠉⠒⢢⣀⠴⠃
⠀⠀⠀⠅⠉⠉⠉⠉⠉⠒⠒⠒⠒⠒⠒⠊⠉⠉⠉⠉⠉⠨⡀⠀⠀
⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⠀
⠀⠀⠀⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀
⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠈⠢⢄⣀⡀⢀⠀⡀⢀⠀⣀⣀⡠⠔⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠸⠤⠠⠀⢀⣀⣀⣀⠀⠀⠤⠤⠖⠀⠀⠀⠀⠀⠀

new bathroom toilet bath meme skibidi toilet dot art text art ascii art

🫧🧴

new water hair shower ocean

🫧🧴🪬🫧🫶🏻🤍

new water hair shower ocean

🫧🚿🧼

new washing washing machine

💩💩🧻🚽🚽🧻💩

new toilet bathroom paper crap flush toilet washroom urine bath shower bathtub

⚝*ੈ✩‧₊

new star bubble idol convection bath froth god stellar asterism co-star celestial body black hole nova gravity red giant sun galaxy

🫧🛁🛀🏻🫧

new bath bubles

🛀🏿🏊💧🌧

new bathroom do buoy restroom closet

𓇢𓆸༄𖥸🧼⋆.ೃ࿔*:･

new soap flower cute star blossom chrysanthemum hygiene cleanser bath shampoo castile soap

🛁🧼

new bath bubbles bubble bath bathtub bio template

𝇈⃘ ⊹◌ 𓈒

new bubbles divider sparkles separator divide bath

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⣯⣿⣾⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣯⡿⢧⣺⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣁⣀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣷⡟⠉⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⣴⠆⣿⣿⣿⣧⢸⣤⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⠋⠀⠀⠈⠙⠿⠟⠛⠓⠀⠀⠙⣿⣿⣿⣿⣿⡿⠷⢁⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⣤⣹⡀⢿⣿⣿⣿⣾⣡⣴⠂⠀⠀⠀⠀⠀⠀⠀⣀⠠⠀⡀⠀⣀⡁⣀⣀⣠⣤⣤⣴⣴⣶⣶⣾⣿⠿⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣧⣴⣶⣤⣴⣾⣷⣺⣶⡤⠀⠀⠀⢘⣿⠿⢟⡼⠁⠀⣼⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣷⣼⣿⣿⣿⣿⣿⣧⠄⠀⠀⢀⣀⣀⣠⣤⣴⣿⣶⠶⠿⠛⠛⠛⠉⠉⠉⠀⠘⠉⣁⣀⣠⣤⠀⠈⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣿⡇⠉⠉⠛⠛⠁⠀⠀⠀⠀⠀⠀⢠⠘⣧⣤⣾⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠚⠉⢹⡟⠻⢶⣿⣿⣧⣦⣴⣷⣾⣷⣿⣿⠄⠀⠄⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣿⣿⣿⣿⣿⡟⠠⠾⠛⠛⠛⠛⠋⠉⣉⣁⣀⣀⠀⠀⠀⠀⣀⣀⣤⣤⡄⠀⠈⣿⣿⣿⣿⡇⠀⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣯⠁⠀⠈⢳⣄⠀⠀⠀⠀⠀⠀⠐⡀⠎⣼⠏⡩⢉⠍⢫⠙⢳⣶⣿⡿⠛⠗⣂⠲⠰⢄⠰⢠⡀
⠀⠀⠀⢰⣾⣟⣙⣧⡟⢿⠿⠟⠏⠛⠛⢩⡿⠁⠀⠀⢀⣀⣀⣄⣠⣤⣤⣴⡦⠤⠶⠖⠚⠋⠙⢿⣿⣿⣿⣿⣤⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣶⣄⠀⣿⣿⣿⣿⣧⠀⠀⢻⣿⣿⣿⣧⠀⠸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠴⠒⠋⠉⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠦⣄⣀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣀⣀⡀⠀⠀⠹⣶⣶⠟⠋⠙⢦⡀⠀⠀⠀⠀⡐⢌⡲⣹⢡⠐⣤⠎⢀⣴⣿⣿⠛⠤⠉⢂⠄⣂⠓⡌⡒⡡⢎
⠀⠀⠀⠀⠉⠛⠉⠁⠀⢀⣀⣀⣠⣤⣤⣶⠷⠶⠿⠛⠛⠛⠉⠉⠉⣁⣀⣀⣀⠀⠀⠀⠀⣀⣺⣿⣿⣿⣿⣿⣿⣷⣿⣇⣼⣿⣿⣿⣿⡿⠟⠻⣿⣿⣿⠿⠧⢸⣿⣿⣿⣿⣤⣶⣾⣿⣿⣻⣿⠀⠀⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⢀⡴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠦⣀⠀⠀⣤⠞⡋⠉⣡⠀⢈⡏⠙⢳⡄⠀⠙⢿⣿⠛⠻⢿⢷⠀⠀⡀⢆⡜⣶⣽⣷⡧⠟⣁⣴⣿⠿⢋⡀⠌⡐⠈⡄⠒⡠⠘⠤⡑⢰⡈
⠀⠀⠀⢠⣦⣶⣶⡶⠿⠿⠟⠉⢉⣁⣀⣀⠀⠀⠀⠀⢠⣤⣶⣾⣿⣿⣿⣿⣿⣿⣷⣄⠸⣿⣿⣿⣿⣿⠿⣿⣿⣿⣯⠀⢿⣿⣿⣻⣿⣷⣦⣶⣾⣶⣶⣦⣤⡀⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠖⠋⠀⠀⣤⣤⣀⡀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢼⡇⠀⡇⠀⢿⠀⠸⣧⢠⣟⣳⣄⣒⡈⠥⢤⡴⠞⠒⠛⣻⣛⣮⣿⣿⣿⣯⣴⣿⡿⠟⡁⠂⠄⡀⠆⠠⠁⠄⠃⠄⣃⠒⡈⠔⢤
⠀⠀⠀⢸⣿⡇⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣷⣦⠀⢸⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⠀⠹⣿⣿⣿⣆⠈⠙⠿⠿⢿⡿⠿⠿⠿⣿⣿⣿⣿⣷⢻⣿⣿⣿⣏⠉⠀⢿⣿⣷⣿⣷⠀⣹⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠀⣀⣀⣰⣬⣻⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⢻⡄⠸⣆⣘⣧⣴⣿⡏⠁⠀⠀⠀⢀⣹⣶⣶⣾⣿⣿⣿⣿⣿⣿⡿⠟⡉⠄⠂⠄⡁⢂⠐⠤⠡⢁⠌⠘⡀⢦⠁⡐⢌⠃
⠀⢀⠀⢏⣿⣇⠀⢀⣾⣿⣿⣿⡿⠛⠿⣿⣿⣿⣿⠿⠌⣿⣿⣿⣿⣀⣠⣴⣿⣿⣾⣿⠇⠀⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⡆⢶⣶⣾⣿⣿⣶⣤⣶⣿⣿⣷⣿⠏⠸⣿⣿⣿⣿⠀⠀⠸⠛⠛⠋⢛⢀⣩⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡋⢸⣿⢀⣾⣮⣙⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⢿⣿⣿⣿⠟⠀⠀⠀⠉⣴⣿⢫⢿⣿⣿⡿⠿⠿⠟⠛⣉⠐⡂⠌⡐⡈⢐⡀⠆⡈⠄⠐⢢⢈⠰⡀⢎⠠⡘⠄⢨
⠀⠀⠀⠀⢿⣏⠀⣼⣿⣿⣿⣿⠀⠀⠀⠉⠉⣀⣀⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡁⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⡄⠛⠿⣿⣿⣿⣿⣿⠿⡿⠋⢁⢀⣀⣯⣰⣤⣴⢰⣶⣶⡄⠈⣿⣿⡀⢺⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⡷⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⡟⢻⣿⣿⣿⣿⣿⠁⠀⠀⠀⣠⣾⠳⢿⡾⠿⢟⠋⢄⠰⡐⢌⠒⢠⠂⢁⠒⡐⠠⢁⠠⡐⢐⡈⠑⡄⢂⠒⠄⠸⣄⠃⠌⡠
⠀⠀⠀⠀⢹⣿⡀⢹⣿⣿⣯⣿⣆⠀⠀⢰⣿⣿⣿⣿⡟⢸⣿⣿⣾⣿⠉⢻⣿⣿⣿⣿⣦⡀⣿⣿⠿⠇⣀⣀⡀⠿⠟⠛⣋⣩⡀⠀⢀⣀⣠⣤⣴⣶⣿⣿⣿⡿⠿⠿⠏⣿⣿⡆⣿⣿⣿⣆⢹⣿⡇⠈⢿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠘⣜⣿⣿⣿⣿⣿⣿⣿⡿⢻⡿⢿⣿⠟⠉⢿⣶⡆⠙⢍⠙⠿⠆⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⡙⢿⣿⣧⣠⣄⣠⡶⡟⢷⠀⠄⡘⠬⠀⠃⢌⠐⠠⠌⡐⠄⠨⢀⠢⠄⣁⠂⡂⢅⠂⢌⠒⡠⢁⠎⡰⠁⢮⠘⠤⡑
⠀⠀⠀⠂⠘⣿⣇⠈⢿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⠟⠁⠈⣿⣿⡿⠿⣆⠀⠹⣟⣋⡉⠉⠉⢡⣤⣦⠀⢹⣿⣷⠀⣰⣾⡿⠿⣿⣿⣼⡿⠿⣿⣿⠋⠉⢹⣿⣧⣤⣤⡄⢹⣿⣧⢹⣿⡟⢿⣿⣿⣿⠀⠸⣿⣿⡙⢻⠉⠉⠉⠉⠉⠉⠉⠙⠋⠋⠀⠀⠈⢿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠻⡇⠀⠀⢀⡴⠃⠀⠀⠙⠲⢧⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⡘⢰⣿⣷⣶⢾⣋⠱⡜⠸⣇⠐⠠⢈⠁⠌⠀⡀⠡⠀⠄⢂⠂⢂⡐⠠⠄⠒⡐⢈⠌⡄⠒⣄⠣⡘⢄⠃⠾⡌⢒⡡
⠀⠀⠀⠄⠀⣿⣿⠀⠀⠙⠻⠿⣿⣿⣿⡿⠿⣛⠁⠀⠀⢐⣁⣤⣤⣴⣾⡶⣶⣿⡿⢿⣿⣶⣜⣿⣿⣷⡄⣿⣿⡆⢻⣿⣷⣤⣼⣋⡁⠀⠀⣿⣿⡆⠀⠸⣿⣿⡛⠋⢁⡸⣿⣿⠸⣿⣷⠀⠻⣿⣿⠆⠀⣿⣿⣿⣀⣥⣶⣔⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡿⠿⢿⡡⠀⠀⠀⠀⠀⠈⠁⠉⠉⠀⠀⠀⠀⢀⣀⣈⢧⡀⠀⠀⠀⠀⠀⢸⡃⠌⠀⠀⢈⠱⣺⣿⣹⡾⣆⠣⢽⡀⢹⣎⠁⠆⡈⠄⡑⠠⢁⡉⠐⢂⠁⢂⠄⠱⡈⡑⠠⠃⡌⢄⠣⠄⡃⠖⡨⢍⣂⠹⠤⢱
⠀⠀⠂⠀⢀⢸⣿⣇⠀⠀⢀⣤⣀⠀⠀⢾⣾⣿⠿⢿⣿⣦⣿⣿⡟⠉⠉⠁⣿⣿⡇⠀⣹⣿⡿⢿⣿⡿⣿⣾⣿⣷⢀⣨⣿⠙⠻⣿⣿⡆⠀⢹⣿⣧⠀⠀⣿⣿⡿⠿⠿⠇⠛⠛⠃⠉⠉⠀⠀⠀⠀⢀⣀⣸⣿⡟⣿⣿⣿⡿⣳⡇⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⢽⣷⣦⢽⡄⠀⢀⠀⠀⠀⠀⠀⢀⣤⣴⣶⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⡿⢀⡁⠀⠀⠀⠡⣿⡷⣯⠹⣿⡥⣻⡅⢂⠉⢣⠠⠁⠌⠄⢃⠢⡐⢉⡐⠨⠄⣊⠡⡐⠌⣁⠂⠔⣂⠱⢈⠴⣃⠖⡨⢆⡽⣬⠣
⠀⠀⠐⠀⠀⢈⣿⣿⠀⠰⣿⣏⣿⡇⠀⢸⣿⣿⣀⣸⣿⡟⢹⣿⣷⣶⣿⠇⢸⣿⣿⢿⣿⣯⡀⠸⣿⣷⠙⢿⣿⣿⡎⠿⣿⣷⣶⣿⠿⠁⠀⠘⠛⠛⠀⠀⠀⠀⠀⣀⣀⣀⣠⣤⣤⣤⣶⣶⠶⢿⠿⡟⡻⠙⠉⢡⡀⠿⣿⠷⠋⠀⠀⠀⠀⠀⠀⠀⡴⢋⣿⣿⠀⣍⣁⣼⡉⠆⢦⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⣀⡀⠀⠀⠀⠀⣿⠀⡄⠀⠀⢀⢱⣿⡗⣿⣧⠈⣷⡏⠙⡀⢂⠀⡱⠈⢄⡉⠄⢂⠑⢂⠀⢃⠰⠠⢡⠐⠨⠄⢚⠰⣄⢋⡌⡆⠹⣎⣵⣻⣾⣟⢧
⠀⠌⠠⠀⠡⢀⣿⣿⠀⠀⣽⣿⣯⣼⣟⣘⣿⣿⡟⠛⢿⣿⣾⣿⣿⣄⣤⣤⡜⣿⣿⡀⠹⣿⣷⡄⠿⠛⠂⠀⠛⠛⠁⠀⠀⠈⠁⠀⠀⢀⣀⣀⣤⣤⣤⠶⠿⠟⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠂⠀⣁⠐⠤⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠈⢻⣿⣦⡟⢛⣿⢨⢆⠀⠈⠉⠙⠛⠛⠛⠛⠉⠉⠉⠀⠀⣀⢠⡄⣿⠀⠀⠀⠀⢸⡖⡌⡐⡈⠄⣿⣿⣿⡽⣿⣷⣹⠇⡐⠈⢄⠠⢀⠂⠤⢐⡈⠆⡘⠠⢈⠂⡌⢡⠂⡌⠱⡘⢌⡱⣈⠲⡜⣥⢣⣌⡩⢛⡽⣿⣷
⠀⢀⠰⢀⠰⡀⣾⣿⡆⠀⢿⣷⣾⣿⠿⠇⢹⣿⡇⣰⣾⣿⠏⢿⡿⡏⠿⠿⠇⠉⠁⠀⠀⠀⠀⠀⠀⠀⣀⠀⣀⣀⣰⣶⣶⣶⡿⢿⡿⠏⡉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⡀⢇⠾⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠈⠀⣿⣇⣶⠀⣿⡷⣎⣁⠇⡰⢆⡀⢆⠰⣀⠆⡆⢶⡈⢱⠆⡏⢸⡿⠀⠀⠀⠀⠀⣿⣰⢱⠸⣸⡿⢹⣿⣷⡸⣿⡿⢀⠀⢁⠈⠶⣀⠉⠶⡀⠶⠈⡀⠱⠈⢰⠁⡆⢱⠈⢁⡸⢆⠱⡈⢱⡈⣇⠿⣸⢹⠷⡾⣶⣿
⠀⠂⠄⠂⢡⠑⣺⣿⡇⠀⠈⠉⠉⠀⠀⠀⠘⠟⠛⠛⠉⠁⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣴⣶⣶⣿⣿⣛⡛⠛⠭⢉⠡⠓⠊⡄⢣⢙⡘⡃⢐⠉⡀⠄⠀⠄⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⡐⡩⢎⢺⡱⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⢿⣿⣿⡇⢹⣿⠼⣞⡼⣱⢎⡜⣪⠕⣆⣫⢜⡡⡞⢱⢊⡵⣿⡇⠀⠀⠀⠀⠀⠙⢶⣭⣷⡿⣁⣄⣻⣿⣿⣿⣿⡆⢃⠄⠊⡀⠄⠡⢂⠁⠆⠡⠌⢡⠘⡄⠒⡌⢢⠑⡌⡰⢌⡒⣩⠱⡸⢄⠫⣄⢧⡾⣟⣿⣿
⠠⣁⠘⡀⢂⠌⠩⣿⣿⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣤⣶⣶⣶⠿⠿⠿⠿⠿⢛⠛⠛⠋⢋⠡⠉⠠⠀⡄⠄⡉⡐⣈⠢⢉⠰⢈⠄⢂⠐⢒⠀⠂⠄⠈⠄⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠤⡑⡱⢎⢧⠳⣽⡀⠀⠀⠀⠀⠀⠀⢰⡀⠀⠿⠇⠀⠀⠬⣧⣾⠃⡔⣻⣿⡜⢯⡝⣮⣝⡲⣙⢖⠲⢎⡲⡙⣦⢗⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⡿⠉⠉⠉⠉⠉⠹⡆⠘⡠⠐⢈⠐⠠⢈⠂⢅⠊⢄⠒⡌⠱⡐⣡⠊⡔⣡⠲⢌⡔⢣⢒⡭⢲⣙⢎⣶⣽⡾⢋
⢀⡐⢈⡐⢌⠠⡁⢿⣿⣶⣶⠾⠿⠿⢛⠛⠿⡛⡉⢡⠠⢄⡐⢢⠘⣐⠨⢙⠠⣉⢂⡑⠄⣂⠡⣁⢃⠰⣈⠐⡡⢠⢁⠂⠡⣈⠐⡈⠌⣀⠊⡁⠌⢂⠈⡐⠀⠁⠀⠀⠐⠈⠀⠀⠀⠀⠀⠀⠈⠐⡠⢱⡙⣎⠾⣙⡞⣇⠀⠀⠀⠀⠀⠀⠐⡇⠀⠐⣀⡇⠀⢀⠻⡄⠀⠔⡠⢿⡞⣣⠛⡖⢮⡱⣍⢮⡙⡖⣱⢲⣒⣯⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⣿⡄⠱⢨⠄⡁⠆⠁⡌⢂⠉⡄⠊⡔⣁⠒⡄⠓⢬⡐⢎⠲⣌⡧⢳⡜⣣⢞⣾⣉⣹⣶⡡
⠂⠔⢠⠀⢆⡰⠐⣈⠐⡄⡐⢂⣡⠃⠖⣈⠔⡡⢘⠠⠒⡠⢈⠄⡃⢄⠒⠠⠒⣀⠂⣉⠰⢀⠂⠤⢈⠰⠄⣃⠐⠡⠂⢌⡐⢀⠒⡐⠂⠄⢡⠐⡀⠂⠄⡐⠀⠂⠀⡀⠠⠀⣀⣀⠀⠀⠠⠀⠀⡐⢠⠣⡜⣼⡹⢧⣛⣷⠀⠀⠀⠀⠀⠀⠀⢹⡀⠈⡉⢀⣹⠄⢄⢻⡄⠘⠤⢹⣟⠴⢣⠜⡠⠱⡈⠦⠍⡜⣡⣷⣿⣫⠔⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⢰⡏⢻⡀⢃⠒⣄⠈⢂⠐⠌⠰⢈⠡⠆⡄⢣⠬⣙⠢⡜⡩⢾⡋⣟⠛⢾⣱⠟⡀⢻⣿⣿⣷
⠠⡉⢄⠂⠄⢢⡑⠄⠣⡐⡁⠎⣄⡉⠒⠄⡒⠄⢃⠘⡠⠑⠌⢢⠑⡈⢌⠡⡑⢄⠣⠄⡒⠌⡰⢁⠢⡘⡰⢠⠉⢆⠍⠢⢌⢂⠒⢨⠘⣈⠐⠂⢄⠩⠐⠠⢁⠀⢂⢀⡶⢿⣿⣿⠿⣧⡀⠀⢀⠐⡄⢣⡝⣲⢽⡳⣏⣿⡆⠀⠀⠀⠀⠀⠀⠈⣧⠀⢹⣦⠀⠈⣼⣎⣷⠈⣄⡘⢫⠹⡌⢣⢑⠡⣁⠣⠜⡠⢍⡩⠿⢿⣞⡕⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⠀⠀⠀⠀⠀⣿⠀⠥⡘⢄⠈⠠⠑⡀⠊⠤⢁⠂⡒⢌⠰⠃⡜⢤⢣⠱⣹⠛⣇⠘⣯⡄⠉⠠⢁⡈⡛⣿⣿
⠐⡰⠠⢈⠆⡡⠂⡍⢢⢁⠱⡈⢄⡰⠉⡔⢠⠉⢆⢘⠠⡙⢌⠢⢅⡑⢊⡔⢡⠊⡔⡡⠆⡱⢐⠨⠐⠤⡁⢆⡉⢆⢊⠱⣈⠢⢉⠄⡒⠤⢘⠈⢄⠢⠑⡀⠂⠄⠂⢸⠁⡟⣩⣿⣿⣿⣷⣶⣤⡐⢨⠆⣝⣣⢯⢷⣻⣞⣷⠀⠀⠀⠀⠀⠀⠀⠘⣧⠈⠻⣏⠀⡍⢱⣫⣦⠈⠻⣥⣶⠁⣄⣈⣤⣤⣔⣙⣐⠈⡐⢤⣚⣯⢁⠂⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀⠀⠀⠀⠀⠀⣼⡇⠌⠂⡍⢦⡙⣄⠣⢈⠱⢀⠣⢄⠡⢊⡔⣩⢒⠥⡎⣵⢿⡃⢿⣄⠘⣷⣧⣧⣷⣾⣽⣿⣿
⢠⠑⡌⠐⠤⡁⢃⡘⢄⠊⡔⢁⠢⡐⠱⡈⢆⡉⠆⢸⠠⡑⢌⢊⡔⣈⠣⢘⠢⡉⢆⠱⡘⢄⠣⡘⢡⢊⡑⢢⡉⠎⣌⠣⢄⠓⡌⡘⢄⠣⣈⠰⢈⢂⠱⢀⠉⠄⢡⠘⢿⣷⣿⣿⣿⣿⠟⠛⢻⣿⣦⡙⢮⡵⣫⣟⡷⣯⣿⣧⠀⠀⠀⠀⠀⠀⠀⠙⢦⣤⣿⣿⣿⣿⣿⣿⣦⣴⡆⣙⡿⠋⠁⠀⠀⠀⠉⠻⣛⢦⡈⢍⢺⡇⠒⠀⠀⠀⠀⠀⠀⢀⣾⣿⠇⠀⠀⠀⠀⠀⣰⡟⡁⢊⠐⡌⢦⡱⢎⠰⡁⢎⠰⢂⢌⠲⢡⠚⡤⢋⡞⡸⣿⢈⣷⡈⢿⣿⣷⣿⣿⣿⣿⣿⣿⣿
⠭⠡⠌⡌⠤⡉⠤⢈⠤⢡⠈⡅⣉⠡⠡⠌⠤⡈⠌⢆⠡⡉⠤⢃⠌⠤⣉⠌⣡⠩⢌⠡⡉⠤⢃⠌⢢⠡⠌⠥⢌⠱⡈⡅⠎⠬⢄⠩⢌⠡⢄⢊⠡⠌⣄⣡⣬⣬⠤⣥⣬⢭⡛⣛⠯⣥⣤⣬⣤⣹⣿⣯⡱⣝⣧⢿⣽⣳⣯⣿⣷⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⠷⠙⠿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⠳⡜⠺⣿⣒⡽⠗⡀⠀⠀⢀⣼⡿⠏⠀⠀⠀⠀⠀⣰⡿⢃⠌⠄⡁⢸⣧⣛⡞⣤⠙⡌⢆⡍⡂⢇⢣⠹⡜⡱⢎⡵⡹⣧⣿⣿⣾⣿⣿⣿⡿⣿⣿⣿⣿⣿
⡌⡓⠬⡐⠥⡘⢄⠣⡘⢄⢣⠐⡄⠣⢅⢋⠔⣉⠚⡌⡱⢉⠜⡡⢊⡱⢈⡜⢠⢋⠆⡱⢉⡌⢃⠎⣡⠙⣌⠣⢊⠴⢁⢎⡉⠖⣌⢊⠔⡉⠆⢥⢊⡱⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠆⡌⣿⣿⣷⡹⣞⣼⣻⢾⡽⣷⣻⣿⣧⠀⠀⠀⠀⠀⣼⣿⣿⣯⣷⣿⣻⣤⡤⠉⣋⢁⣠⡷⠀⠀⠀⠠⠠⠀⠔⠀⠀⠀⠀⠀⠉⠉⢀⠦⠀⠀⣠⣾⠟⠁⠀⠀⢧⠀⠀⣰⣿⠏⡜⡈⠄⡁⢿⣶⣿⢳⣏⠜⡸⢢⡜⠤⣉⠦⣋⠴⣩⢚⡴⢣⣭⢹⡙⢯⢭⠳⣌⡿⣿⣿⣿⣿⣿
⠰⣡⠒⡡⠃⡔⢊⠔⡡⢎⠠⢃⠌⡓⡌⡘⡌⠤⡃⡜⡐⢣⡘⠴⡁⢎⢡⡘⠤⢋⠴⣡⢃⠜⢢⠙⡤⡙⢄⠣⢃⠎⡰⢌⠰⢋⠔⢪⠜⡘⡌⡒⢆⠱⡈⠿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⣿⡿⢏⡵⣏⡾⣽⢯⣿⢿⣽⡿⣿⡳⣄⠀⢠⣾⣿⣿⡘⢿⢷⡾⠿⠏⣀⣀⣿⡛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠁⠀⠀⠀⠠⣈⣷⣼⣿⡻⡜⠤⡁⠂⠔⠘⣿⢏⣿⡞⢠⣏⢲⡈⠖⣡⠞⣌⠳⡥⢫⡜⣳⡌⣧⡙⡎⣞⡽⣳⣿⣿⣿⣿⣿⣿
⡃⢆⠭⡐⢣⠘⣂⠎⣡⢊⠒⡡⢊⠱⣈⠱⣈⠱⡑⢆⡙⢢⡑⢎⡜⣨⠒⣌⠣⣍⠲⣄⢋⡜⣡⢙⡰⣉⢆⡙⡌⠲⣁⢎⢡⢋⠜⢢⡘⢡⠒⣉⢆⠣⡱⢈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡙⣎⢷⣹⡽⢯⣿⢾⣿⣯⣿⣿⣿⣾⢶⡙⠛⠿⣿⣷⡞⠏⠀⠀⠈⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠓⠷⣦⡑⢈⠰⢁⡘⢿⣿⡥⣸⢣⢆⠱⢌⣣⢚⡥⢫⠴⡳⣜⡱⢞⡦⣝⣱⢚⣼⣻⣿⣿⣿⣿⣿⣿
⡑⡊⠴⢁⠆⡱⣀⠒⡄⢢⠑⢢⢡⢃⡔⠣⣄⠓⡜⢰⣈⠣⡜⢤⢒⡡⢍⢆⠳⣌⡱⢌⢆⡒⠴⡨⢔⢢⠒⡜⡰⡱⢌⠖⠦⡍⢎⠴⡨⣅⢚⠤⣊⠴⡑⡌⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡜⡜⣮⢳⣽⣻⢾⣿⢾⣷⣿⣾⠟⢡⡄⠙⠖⣤⠍⠉⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⠸⠀⢀⠘⢻⣄⠂⡄⢠⠀⠹⣧⡿⢢⠎⢤⢣⠖⣩⠜⣥⢛⡴⢣⡛⡼⣎⣳⢽⣮⢷⣿⣿⣿⣿⣿⣟⣯
⠰⣉⠜⠰⣈⠕⣠⢋⠜⣡⠙⣢⢑⠊⡔⢣⠌⡓⡜⡰⢌⡓⡘⢆⠣⡜⡌⢎⡱⢢⠕⣊⠦⣙⢢⡑⢎⡌⠳⣌⠱⣡⢋⡜⢣⡙⣌⢎⡱⢌⢎⡰⢡⢎⡱⢌⠻⣤⠀⠀⠀⠀⠀⠀⠀⠀⠠⠐⢼⡟⡬⡝⢮⣻⢼⣯⢿⣮⣷⣾⣿⣿⠋⠖⠋⠉⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡀⡀⠡⠌⣿⠠⡘⢠⠉⣼⣿⡏⢇⠚⣠⠓⣎⢧⢛⡴⢫⡜⣣⣛⡴⢫⡞⣿⣾⣿⣿⣿⡿⣝⡛⢾⣳
⠱⣌⠸⠰⡀⢏⠰⡌⣊⠤⣩⠐⣌⠓⣌⠣⢎⡱⣘⠸⣄⢣⡙⢬⠓⡴⣉⠦⣙⠦⡙⣤⠓⣌⠲⣘⠢⡜⡱⢌⡱⢢⠍⡜⢥⠚⡔⣊⠔⡫⠜⣌⠣⢎⡴⣉⠖⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⡰⢏⡳⣭⠷⣯⣿⢟⣿⣿⡛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣖⣿⡿⠠⡑⠢⢱⡟⣿⠨⢍⠒⣬⠹⡜⣎⢮⡱⣏⡼⡱⣌⢻⣝⣻⢷⡿⣿⡿⣿⣿⣿⣽⣶⣤
⡑⢢⠙⡰⢁⠎⡱⠘⡤⠓⡤⢋⠔⡋⠴⣉⠦⡱⢌⠲⢌⠦⡙⢆⡛⠴⣉⠶⣉⠞⡱⢌⡋⢆⠳⢌⡱⢌⡱⢊⡴⢃⡞⡘⢆⡫⢔⡩⢚⠥⣋⠼⣡⠓⢦⡑⢎⡹⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⢸⡷⡘⡭⢳⣭⢻⢷⣻⣾⣿⣿⣷⡀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⡜⠻⢿⠁⢃⠰⢁⡿⠡⠘⢷⣈⡜⣤⣛⡼⡜⣶⠹⣆⡻⡵⣭⢦⡹⢭⡻⣽⣳⠿⣟⡾⣟⢿⡻⢿
⢭⠣⡝⡠⢍⡌⢡⠍⡌⡍⢬⠩⡌⢭⠡⡍⢦⢉⠥⢎⠭⡌⢭⠌⡭⢡⠍⡎⢭⡘⠭⡌⢭⠩⡍⢬⠌⡥⢣⡍⠶⡱⢬⡱⢣⠜⠦⡍⢎⢭⡡⢏⠬⣩⠣⡍⢎⡥⣉⣿⠀⠀⣠⠆⠀⠀⣠⣀⢸⡧⢍⣍⠳⣜⢯⢿⡽⣯⣿⡏⡞⠹⢷⣦⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⢀⠒⠆⠀⠈⣯⠈⡍⢩⣷⢢⡹⣈⢿⣴⢣⡞⣴⣛⢶⡻⣜⢳⡽⣜⡲⣍⠶⡱⢖⡩⢛⡬⠳⡍⢶⡙⢧
⡎⠵⣊⠵⡊⣌⢣⠚⡔⡍⢆⡳⡘⣌⠳⡘⣆⠫⡜⣡⢎⡕⢪⢚⠥⣋⢎⡝⣢⠝⣱⢊⡇⡳⢍⡎⡱⣍⠣⡜⢣⡙⢦⡙⢆⡛⠶⣉⢎⡲⣑⢎⡳⣡⢳⠹⡌⢶⡡⢚⡹⢛⢿⡀⠀⣺⡏⣍⡛⢏⡲⢌⣳⢹⣎⡿⣽⣯⣿⠏⠁⠀⠀⠈⠉⠉⠙⠛⠛⠻⠓⠶⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⠶⠾⠛⠛⠛⠋⠋⠁⠀⠀⠈⠀⣀⠀⠀⢸⡇⡘⢸⣣⢛⠶⣉⠎⣿⡳⣞⡵⣋⡶⣹⢎⡧⡽⣎⡷⣮⢧⣙⠆⣇⢣⡜⢣⡙⢦⡙⠦
⡞⣱⠣⢎⡕⢢⢣⡙⠴⣉⠦⡱⢡⢎⢣⡱⡌⢧⡱⢜⠢⢞⡡⢏⡜⣡⠞⡸⣔⢫⡒⢭⢒⡭⡒⡭⡱⣌⠳⣩⠖⡹⢢⡝⣌⢣⢇⡣⢎⡱⡜⢦⠳⣱⢪⡱⡙⢦⡱⢋⡜⡱⢊⣷⢠⡿⢰⠜⡸⢌⠵⣩⠲⣽⡸⣽⣳⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡼⢃⠥⢹⣧⠺⣝⢯⣺⣽⣳⣝⡾⣵⢫⢗⣫⡼⣳⣝⡾⣽⢯⡿⣽⣮⣷⣞⣷⡿⢶⡻⢷
⣘⠥⣛⠸⣌⠣⢆⡹⣘⢥⣊⠕⡣⢎⣣⠱⢎⡣⢓⣍⡛⣬⢱⡚⣜⣡⢋⡵⣊⢵⡙⣎⠳⣜⡱⢣⠳⣌⠧⡱⢎⠵⣃⠞⡤⢣⡚⠴⣋⠖⡭⣊⠷⣡⢇⢳⡙⢦⣉⢳⣘⡱⣋⡜⣫⠜⣱⢊⡕⢫⢜⣢⣛⡴⢫⣷⣻⣽⡟⣠⠀⠀⠀⠀⠀⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠠⠖⠈⠁⠀⢺⣅⡋⢆⣙⣧⡛⣬⠓⡿⣞⣧⣻⢾⡵⣻⢎⡧⣽⣱⣮⣿⣯⣿⣿⣿⡿⣟⢯⡻⣜⣣⡝⣮
⡍⠮⣅⠳⢌⡱⠎⡥⣉⠦⣉⠎⣍⠣⣌⡹⢬⠱⣩⢰⢩⢆⡣⢝⠬⣡⠏⡴⣩⠎⡽⢌⡛⣤⣙⢣⡝⣌⠳⡵⢎⡳⢬⡛⡴⢣⡝⡼⢌⡳⢥⢣⡝⣤⢋⡎⡝⡬⢣⢎⠬⡱⢍⡜⡡⢎⢥⠩⠜⡥⢎⠴⣉⠾⣹⢮⡷⣿⢱⢿⡆⠀⠀⠀⠂⠀⠥⡉⢉⢋⠛⠶⠒⠒⠂⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠤⠀⠐⠐⠂⠀⠀⠈⢀⠆⠸⢀⠩⣌⠝⢉⡧⣉⠦⡁⢿⣟⠶⡛⠼⡹⣾⣽⢯⣷⢛⢮⣝⡾⣵⢛⠾⡭⣗⠻⣼⣱⢯⣞⡵⣞⢣⡛⣵
⡸⡱⢬⠸⡌⢖⡩⢖⡱⢊⡕⡪⢜⢣⢒⡱⢎⠳⡸⢘⡜⢪⡕⣫⢚⡥⣚⠵⣣⢛⡜⣣⢝⡢⡝⢲⠜⣬⢓⡜⣣⢞⡱⢎⠵⢣⡜⣜⢣⡝⢦⢫⢔⡣⣝⡸⢥⢋⡵⣊⢳⢩⠖⡜⡱⣊⠞⢨⠓⡼⣈⠶⡩⢞⡵⣫⣟⣿⡜⣾⣿⡆⠀⠀⠡⠄⢠⠑⠨⡆⣜⣠⠇⠀⠒⡐⢂⠀⠄⠁⠆⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⡀⢀⠆⠉⠀⠀⠀⠀⠀⠀⢠⠃⠘⢠⣥⡴⡾⠑⣌⠒⣍⢸⣿⡟⣿⢷⣷⣮⣥⣟⣲⣫⣛⣼⣲⢤⣏⠾⣵⣚⢯⣵⣋⣾⣼⣶⣿⣿⣿⣿
⢒⡍⢲⠱⡘⢦⡑⣇⠚⣥⢊⡵⣉⢦⢋⠴⣉⢧⠹⣐⢎⡳⢌⢧⠳⣜⣡⢛⡴⢫⡜⡱⢎⡵⣩⠓⡞⡴⢫⡔⣣⢎⡵⢪⢝⢢⡹⣰⢣⠞⣥⢺⡘⢲⢬⡱⣍⠺⡰⢍⠞⡢⢏⠼⡱⡸⢸⢈⠧⣑⠎⡼⠱⣭⢺⡵⣻⣞⣿⣽⣟⣻⡀⠀⠌⠐⠒⢛⡖⠑⢦⡂⠿⠀⠰⠆⠐⠬⣰⠉⣎⠥⡆⢀⠀⠂⡀⢄⡂⠀⠀⠀⢀⠤⢉⡐⢀⠂⠄⠑⠠⠀⠈⠑⢣⠈⠔⣨⡾⢏⡱⢬⡑⠭⢤⠩⡔⣸⣿⣿⣷⣿⣶⣯⣿⣽⣿⣿⣟⣾⣵⣿⣾⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣣⢞⡱⣸⡑⢦⡑⢎⠵⢢⢍⠲⡡⢎⡌⢳⡘⣌⠳⣈⢎⡱⢋⡜⣣⠜⢦⢫⡜⣣⠞⣱⢋⡴⢃⡛⣜⠒⢧⠚⣥⠚⡴⢋⡬⢓⡜⡱⢊⡝⣢⢓⡜⢣⠲⡱⢌⢳⠩⡎⢭⡑⢮⠱⡱⢡⢋⡘⢆⠣⢎⡑⣫⠔⡯⣞⣵⡻⢾⣽⣻⣿⣷⡐⢀⠢⠛⠄⠛⣟⠠⡅⣰⠘⠀⠸⣜⡰⢦⢹⣜⡳⣝⠶⢊⢠⠐⡀⠀⠂⢀⡤⢈⠒⡃⠠⢄⣉⠀⠃⣀⡠⢙⣈⣆⣰⣞⣋⠰⣉⠖⠡⢌⠓⣌⢣⢒⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣇⣤⡀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠀⠀⡾⢸⣷⣿⣷⣸⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣴⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣶⣷⣄⣿⣿⣿⣿⣶⡏⠀⠀⠀⠀⠀⠀⠀⣠⣄⣂⣤⣶⣤⠶⠶⠶⠛⠻⠿⠛⠛⠛⠋⠹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠤⠖⢲⠦⣄⣴⣿⢆⣀⣤⣠⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⡟⢉⣤⡴⠶⠶⠾⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⣀⡀⠀⢱⣾⣿⣿⡇⠀⣟⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢠⣾⡖⢶⡽⠿⢿⠿⠟⠛⠛⣿⠉⠀⠀⠀⡀⢀⣀⣀⣠⣤⡄⠤⠤⠴⠚⠿⣿⣿⣿⣟⣄⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣶⣦⡀⠘⣿⣿⣿⣇⠀⠀⣿⣿⣿⣧⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠉⠋⠉⠀⢀⣀⣀⣠⣤⣤⠭⠶⠖⠒⠛⠛⠉⠉⣉⣀⣀⣀⠀⠀⢀⣀⣶⣿⣿⣿⣿⣿⣾⣷⢠⣿⣿⣿⣿⠿⠛⢿⣿⡿⠿⠆⢿⣿⣿⣿⣤⣤⣿⣿⣯⣿⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢰⣶⠶⠶⠞⠛⠋⢉⣀⣠⣄⣀⠀⠀⠀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣦⠘⠿⣿⣿⣿⡟⣿⣟⣿⡄⠸⣿⣿⢿⣿⣷⣶⣶⣷⣶⣶⣤⢸⣿⣿⣽⣿⣿⣿⣿⣟⣿⡇⠀⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢸⣿⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣦⡀⢿⣿⣿⣿⠛⠙⢻⣿⣽⣿⡆⢸⣿⣿⣿⢀⣘⣿⣿⣿⡄⠈⣙⣛⣛⣟⠛⠛⣿⣿⢿⣿⠏⣿⣿⢿⣇⠀⠀⣿⣿⣿⣷⠠⢼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣿⠇⢀⣿⣿⣿⣿⠉⠈⠻⠿⠛⠛⠋⢹⣿⣿⣿⣶⣶⣿⣿⣿⠟⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⢿⣿⣿⡿⣿⣿⣿⣿⡿⠛⠀⠻⡿⡟⢛⣄⣀⡉⠀⣦⣤⠐⣾⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣾⣷⣶⣾⣿⣿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢻⡄⠸⣿⣿⣯⣿⠀⠀⠀⣴⣶⣶⣶⠞⣿⣿⣿⡿⠻⣿⣯⣿⣷⡄⢸⣿⣷⣿⠛⠉⠙⣿⡷⠿⠷⠀⠈⠙⠛⢛⣉⣩⣵⣤⣶⣶⣶⡷⣿⣿⢸⣿⣿⣄⢹⣿⡀⢺⣿⡇⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀
⠀⠀⠀⠀⢸⣿⠀⢻⣿⣿⣿⣷⣶⣾⣿⣿⣿⡟⠀⢻⣿⣿⣿⡀⠘⢿⢛⠛⠛⠚⢉⣡⡀⢰⣾⣇⠀⣤⣶⡿⣶⣶⣸⡿⣿⣿⡟⠋⣿⣿⣉⣀⡄⢹⣿⡆⣿⣿⢿⣾⣿⣇⠀⢿⣷⡀⠠⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀
⠀⠀⠀⠀⠈⣿⡆⠀⠙⠻⠿⢿⣿⣿⠽⢛⡁⠀⠀⢈⣡⣤⣤⣷⢶⣾⡿⠿⣷⣦⣸⣿⣷⣄⣿⣿⡀⢿⣿⣤⣜⣉⡁⠀⢸⣿⡇⠀⢸⣿⡟⢛⢉⡸⣿⣧⢻⣿⡀⠻⣿⡿⠀⠸⣿⡏⠍⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣜⣿⣿⣽⣷⡀⠀
⠀⠀⠀⠀⠀⢻⣿⠀⠀⣠⣤⣄⠀⢺⣾⡟⠿⢿⣷⣾⣿⡏⠉⣉⠸⣿⣇⣀⣽⣿⠿⣿⣿⢿⣾⣿⣇⢤⣭⡍⠛⣿⣿⠀⠈⣿⣿⠀⠈⡿⠿⠻⠟⠃⠛⠛⠈⠉⠁⠀⢀⣀⣀⣤⣿⡇⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀
⠀⠀⠀⠀⠀⢸⣿⠂⠀⣿⣼⡿⣀⣀⣿⣿⣤⣾⣿⣁⣿⣿⠿⠛⠀⣿⣿⠛⣿⣧⡀⢻⣿⡄⠻⣿⣿⠈⠻⠿⠿⠟⠋⠀⠀⠉⠉⠀⢀⣀⣀⣤⣤⣤⡴⠶⠶⠒⠟⠛⠻⢻⣻⠋⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣯⣽⠺⣵⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⠀⠀⠀⠀⠀⠘⣿⡇⠀⣾⣟⣷⣿⡥⢹⣿⡇⢈⣿⣿⢿⣿⣶⣶⣷⠹⠿⠃⠈⠛⠛⠈⠉⠁⠀⠈⠀⢀⣀⣀⣠⣤⣤⣶⠶⠒⠒⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷
⠀⠀⠀⠀⠀⠈⣿⣇⠀⠈⠛⠉⠀⠀⠘⠿⠟⠟⠋⠁⠈⠀⠀⠀⣀⣀⣀⣠⣤⣤⣶⣶⣶⡿⠛⠛⠉⠉⠉⠁⠤⢺⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣷⣯⠙⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣿
⠀⠀⠀⠀⠀⠈⢹⣿⠀⠀⠀⠀⣀⣀⣀⣤⣤⣤⡴⠶⠶⠾⠿⠛⠛⠋⠙⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⠋⠀⠀⢈⠻⠿⠿⠿⠽⠀⠀⠉⠿⣿⣿⣿⣿⣿⡿⢧⠒⣻⣿⣿
⠀⠀⠀⠀⠀⠀⠈⠿⠷⠞⠛⠛⠟⠉⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⢃⣲⣤⣀⣤⣴⣦⠔⣢⣄⡀⠀⠀⠀⢹⣿⣿⠟⣼⠅⠀⢁⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣻⣿⣿⡏⠉⠛⠿⡿⠋⠀⠀⠀⠀⠀⠈⠁⢀⠸⣇⣀⣠⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃⠀⠀⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠢⢽⡛⠟⣛⠛⡟⠻
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⢀⣠⣤⠶⠛⣄⠀⠀⠀⠀⠀⠀⡐⠌⡲⢭⠱⡈⠄⠡⠈⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠒⡛⠛⢲⠶⠦⣄⠀⠈⢿⡿⣥⣤⣤⣬⣣⡀⠀⠀⠀⠠⢔⡣⢧⣍⠖⣠⠎⢀⣠⣾
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣄⡠⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⡆⠀⢸⠁⠀⣾⠀⢀⡿⠀⠀⡀⠹⠟⠁⠈⣨⣉⡦⣤⡴⣌⣳⣾⣽⣿⡿⢋⣡⣶⣿⠟⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠋⠄⠀⢠⠘⢿⣶⣶⣴⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⣄⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⢷⠀⠸⡇⠀⣹⠒⢻⣧⡼⠖⠒⠒⠉⠉⢿⡁⡀⣀⣴⣳⣾⣿⣿⣿⣿⣾⣿⡿⠛⠁⠄⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠺⣿⡀⠣⡰⢶⣽⣶⣿⣿⣿⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠀⠀⠀⠀⠀⠀⠤⠼⢦⣈⣧⡄⣷⣦⢿⣿⣿⡿⠁⠀⠀⠀⠀⣠⡴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠡⠐⡀⢂⠐⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢄⢸⣿⡧⣝⣿⣶⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣭⣿⣿⣿⠟⠁⠀⠀⠀⢀⡟⣯⣱⣻⣿⣿⡿⠋⠙⡉⡉⠄⠢⠁⠡⢂⠐⠠⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣻⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣃⣉⡛⠦⣀⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠙⠿⣿⣿⣿⣿⡏⠀⠀⠀⢀⣼⡟⠛⠛⡟⠛⡙⠡⠐⠠⢁⠒⠰⠈⠄⠑⢀⠂⠈⠄⡁⠀
⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠈⢏⣿⣿⣿⣿⣿⣿⣿⡿⠛⠴⠟⣷⡷⠋⠀⠻⠿⡆⠀⠳⢌⠻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠤⠤⠤⢼⠀⠀⠀⢠⡙⢿⣿⠃⠀⢀⣴⠿⣋⢻⡄⠀⠌⡑⡀⠁⠡⠌⠀⠈⡄⠁⠌⢀⠂⠈⠐⣀⠐⠈
⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠁⠉⠉⠉⠉⠁⠀⠀⠘⢻⣿⣿⣿⣿⣿⠋⠀⠀⠀⠐⠻⡀⠀⠀⢀⡔⠁⠀⠀⠀⠑⠚⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠠⠀⠀⢀⠘⣼⣿⣷⡿⣟⠨⠆⢧⠘⣇⠠⢀⠀⠄⢂⠀⠀⠠⢁⠀⠄⡈⠄⡐⢈⢀⠀⠂⠄
⠰⣶⣤⣤⣀⣴⣶⣦⡐⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⠿⠿⣇⠠⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⣀⣀⡘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢁⠂⠀⠀⠀⠜⡢⢿⣿⣧⢻⡤⡙⢦⡆⠘⣇⠂⠔⡈⢀⠀⠃⠄⢂⠈⡀⠄⠂⣀⠠⢈⠂⡁⠂
⠀⠀⠈⢉⣿⣿⣿⣿⠇⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⣿⢶⣷⣦⡌⣧⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣾⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠠⠂⠀⠀⠀⠂⣱⣿⡿⡌⠻⣧⡑⣾⠀⠡⠈⠊⡄⠐⠀⠃⠌⡈⢄⠂⡐⡀⠡⢀⠂⠡⢀⠂⠁
⠀⠀⠀⢈⠀⢻⣿⡷⠞⠁⠀⠀⠀⠀⠀⠀⠀⡤⠚⣿⣿⡆⢍⣉⢠⡏⠳⠠⣄⣀⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠛⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⠰⠁⠀⠀⠀⠐⣼⣿⣹⣟⡄⠸⣧⡏⠰⠀⠂⠀⠐⡀⡈⢐⠠⠈⠄⢂⠐⠀⡁⢂⠨⢐⠠⠁⠂
⠀⠄⡐⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠚⢻⣿⣇⡿⠛⣿⢣⢓⡀⠈⠙⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠉⠉⢉⢁⡞⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⢸⡆⠱⡀⠄⠠⢱⣿⣿⣧⢿⣾⡢⢿⠁⠀⠑⡀⢈⠀⡐⠀⠂⠄⠨⡐⢀⠈⠄⠐⣀⠢⢀⠂⡌⠁
⢐⢢⠱⡡⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⡜⠀⢿⣿⣥⡄⢺⣯⢖⡱⣐⠠⡀⢄⣀⠂⢄⢠⠠⠄⣠⢀⠖⡰⠲⡍⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⣧⢓⣌⠲⣡⣿⠏⢿⣿⣇⡻⢿⡏⠠⠁⢂⠀⠃⡐⠠⠑⡈⠐⠡⠐⢂⠈⠄⠃⢄⠂⠆⠡⠄⢃
⢌⡣⣝⢲⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡃⠀⠠⠀⢺⣿⣿⡇⠘⣿⡞⣽⢶⣣⡝⣆⢆⣋⠖⣢⡛⡜⢤⡣⢎⡱⢣⣱⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠘⢧⣎⡷⣽⢋⠀⡌⣿⣿⣿⣿⣿⡄⠡⠀⠌⡐⠈⠡⠐⢈⠠⠁⠂⢄⠈⠤⢁⠢⢘⠠⠑⣈⠄
⣌⢳⣜⣣⢝⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠘⡧⠖⠁⠀⠈⣿⣤⠇⡠⢹⣿⡸⢳⠷⡝⡞⡜⣦⢫⢕⠲⣩⠲⣑⠦⣵⣃⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠈⠉⠙⢻⡟⠛⠋⠉⠉⠉⠉⢳⡀⠣⢀⠀⡐⠀⡈⠄⡀⢁⠊⠄⡈⠔⡨⠐⠂⢌⠡⡐⠌
⢬⡳⢮⡵⣚⡆⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠆⢀⡆⡀⠀⠹⡍⠀⠄⠥⠸⣟⡫⠵⢫⢝⡹⣔⢣⢎⠳⣅⢚⣤⢾⣱⣽⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⡀⠀⢀⠀⠳⠀⡡⢂⡐⠀⠤⠀⡐⠠⢈⠐⠨⠐⠤⢉⠰⢈⠂⣅⠉
⡳⣭⢳⣭⡓⣿⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠘⡋⠐⢳⡔⠂⢹⡄⠐⢢⠁⣿⡜⣱⢊⠜⡐⠍⠲⣉⠓⡬⢚⢥⣧⣿⠋⡄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⢠⡇⠀⠈⠀⠁⠀⠀⠀⠀⠈⠥⢀⠡⠆⡁⠂⡐⠠⠁⠂⡈⠄⡃⢌⠠⢘⢠⠊⣄⢋
⡳⣭⢳⢮⡝⣿⡆⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⢧⡄⠈⠘⢞⣶⢳⣈⡀⠆⠛⠞⡔⡪⠜⡐⢊⠡⠐⡌⠰⡉⣛⢻⣷⣝⢶⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⣾⠁⠂⠁⡐⠀⠈⠀⠁⡀⠀⠣⢁⠆⠠⠉⡐⠀⠄⢂⠡⠐⠠⠐⠢⡑⢊⡰⢉⡒⡌
⣻⡜⣯⣏⡟⣷⢿⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠸⣿⠷⠀⢻⠗⡿⣧⠉⠾⣅⡳⡘⠠⠉⡐⠀⠁⠌⠠⠃⠌⠐⣂⠈⢿⡏⠣⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠀⠀⠀⠀⠀⠀⢰⡇⠠⠁⠄⠀⠄⢁⠈⠀⠀⡀⠱⡈⢆⠡⢂⡀⡁⠂⠄⡂⢁⠂⡉⢰⠈⢤⡘⠤⢓⡌
⣷⡹⣞⣭⡿⣽⣻⣧⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠈⣷⣴⣾⣦⣷⣿⣧⠄⣟⠓⢿⣠⡷⠚⠛⠛⠛⠷⣺⢤⣄⠀⠓⡜⣧⢂⡄⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠀⠀⠀⠀⠀⠀⢠⡿⢠⠁⢂⠈⠠⢀⠠⠀⠌⠀⡀⠐⠰⢊⠵⣊⠔⢠⢁⠒⡐⠌⢒⡈⢤⡉⢒⢬⡑⡇⡎
⣶⢻⡽⣞⡷⣿⡽⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡟⠿⣿⣿⣿⣿⣿⣤⠟⠁⠐⠀⠀⠀⠀⠠⢤⡏⠬⣧⡘⢠⣻⣆⣐⢤⡀⠀⠀⠀⠀⢀⣿⣿⠁⠀⠀⠀⠀⠀⢀⣾⠥⠆⠌⠄⠠⠀⠄⠠⠄⠄⠄⠀⠄⠘⣥⣛⠼⢈⢢⡘⠄⢣⠘⡰⠨⡔⢬⠱⢢⡙⡴⢩
⣯⢗⣻⣽⣻⢷⣟⡿⣿⢧⠀⠀⠀⠀⠀⠀⢠⣿⣿⡿⣒⢭⣃⠄⠙⠻⣿⡿⠋⢀⣄⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠙⣄⠡⢷⡴⠊⣁⠂⠀⠀⣠⣿⡇⠈⢄⢠⠀⠀⠀⢠⣿⢏⠒⠄⠂⡀⠐⠠⠀⠄⠀⠂⠄⢂⠐⢨⣶⡹⡞⣠⠇⠆⣍⠒⡜⢠⠓⡘⣢⠹⢅⢺⣑⢣
⣟⠾⣽⢾⡽⣟⣯⣿⢿⣯⢣⡀⠀⠀⠀⣠⣿⣿⢣⣻⡜⢻⣺⣿⠖⠁⢰⣾⣴⠞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠐⠚⣾⡿⠋⠀⠀⠀⠈⢧⠀⣠⣿⡟⣌⠣⢀⠃⢀⠐⠀⠄⠂⠈⠄⠂⠄⠂⢸⣷⣻⢱⣏⡎⠱⡌⢳⠈⠦⣑⠩⢆⡹⠜⡲⢌⡧
⣯⢟⡽⣯⢿⣟⣯⣿⡿⣿⣷⣳⡄⢀⣾⣿⣿⣿⣆⢻⣻⣟⠛⠋⠄⢲⠞⠫⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠐⠌⢷⣿⣿⣙⠦⢁⠂⠄⠀⠂⠌⡐⢀⠁⠂⠌⠐⡀⠄⠹⣇⣾⣏⠆⣵⠸⡡⠌⢣⢌⠳⣌⠼⣉⢳⢩⠖
⣽⣺⡽⣯⣿⣻⣯⣷⣿⣿⣟⣿⠟⢣⣄⣉⠻⢟⢿⠃⠉⠈⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡅⠉⠛⣦⡌⢂⠈⡁⠂⠐⠠⠈⠁⠌⠐⡀⠌⠠⠙⣿⣏⢰⡇⢣⡑⢘⠢⢎⠖⣜⠸⣌⢓⡎⢞
⣳⢧⣟⡷⣯⣿⠿⣽⣿⣷⣿⡂⠴⣀⣘⢻⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠳⠀⠢⡀⢻⣆⠠⠐⡈⠐⠠⠘⡀⠂⠄⡐⢀⠂⡐⢀⢹⣾⡌⢧⠘⢤⠳⡌⢳⢌⠞⡬⢃⡞⡭
⡽⣎⡿⣽⡷⣿⣾⣗⣿⣧⠏⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠄⢀⣿⠂⠡⠄⠃⠌⡐⡀⠁⠄⡐⢂⠡⠐⢠⡟⢏⠼⣀⠃⢆⠳⡜⢣⢎⡹⣜⡱⣊⠵
⣳⢭⡟⣷⣻⢛⣽⣿⣟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣃⣼⣿⠀⠃⠌⠂⠆⠐⡠⠁⢂⠐⢂⠘⡀⡾⢳⣌⠚⠤⠘⣎⢳⡩⢇⢮⡱⢬⢳⡡⢏
⡝⣮⢟⣷⣻⣿⣿⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⢟⡁⠄⡉⢂⠑⡈⠒⠠⠁⠆⡘⢀⠃⡸⢁⠂⠻⣌⢄⢫⡔⣣⠳⡭⠶⣭⢓⣏⡳⣭
⡽⣭⢻⡼⣯⣿⣽⡟⣸⠉⠷⣦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⡀⠀⠀⠀⠀⠀⠀⢷⠈⠡⡉⠌⡁⡉⢡⠡⢈⠉⠌⡁⠴⣂⠦⣅⠛⣯⢢⡝⢶⡹⣜⡳⢎⡳⢎⡵⣣
⡞⡵⣏⣿⣳⣯⣿⡗⠋⠀⠀⠀⠉⠉⠙⠛⠛⠳⠾⠶⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠶⠶⠶⠾⠚⠛⠛⠉⠀⠀⠀⠁⠀⠈⠀⠀⢸⡃⣁⠆⡱⢠⠑⢂⠱⢈⠜⡰⢀⠧⣙⠾⣰⠩⢜⣷⡛⣶⡱⢧⣹⢫⢵⣋⡞⡵
⣝⡳⡽⣶⣻⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡁⠔⡨⢐⡁⠎⡌⢂⠣⡘⠰⢀⢫⡒⢷⣱⡏⣼⢧⡻⣼⣱⣏⢶⡹⢎⡶⢭⣳
⡞⣵⢻⡵⣿⣻⡿⢁⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠰⠀⠀⢈⠄⢢⠱⢠⠃⡌⢒⠌⡡⢆⡡⢃⠂⣷⣙⢎⠶⡹⣟⡾⣝⢧⡷⢮⡳⢭⡳⣍⢯⣱
⣞⡱⣏⣟⣳⣿⢱⡸⡇⠀⠀⠀⢀⠀⠉⡉⠲⠒⠲⠆⠤⠤⠀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⠄⠤⠀⠀⠀⠀⢉⠡⡘⠀⢢⠐⣀⠂⣃⢂⢃⠒⣈⡐⢃⠚⡐⢂⡰⢈⠂⣹⣶⣎⣳⢱⡚⣿⡽⣾⣽⣳⡽⣣⢷⡹⣞⡽
⣎⠷⣹⠾⣽⣿⢸⡕⣿⣄⠀⠀⠀⡀⠀⠑⢡⠈⠔⡐⣈⢂⠀⠠⠀⠆⡠⠀⠠⢁⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠠⠁⡀⠔⠀⠀⠀⠀⠀⠀⠀⢄⠰⠌⢀⠂⣀⡴⢃⠎⡰⠣⡐⠌⢆⠣⡐⢡⠂⡅⢊⠜⣷⡾⢧⣧⣘⣆⣛⠳⣭⢳⢺⡵⣣⠟⠬⣑
⢮⡝⣧⢟⣷⢻⣮⣽⣿⢿⡀⠀⠀⠈⣄⠸⣄⠌⠳⡘⣌⠣⠄⠀⣉⠐⣀⠠⠀⢆⣂⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠢⢈⠄⠠⠀⠠⠀⠀⠀⠠⢠⠀⠄⡊⠠⣠⡶⢋⠭⡰⢁⠎⡰⢡⠐⣊⠄⢣⠘⠄⠣⠜⣠⠊⣿⣯⣿⣼⣫⣽⣫⣿⢿⣶⣷⣶⣳⢫⡽⣭
⠮⣜⢧⣛⣾⣹⢯⣿⣻⣷⣷⡀⡸⠀⠀⠤⣈⢳⡤⠙⠢⠉⢁⡀⠠⡀⠤⣁⡋⢦⡜⡹⢦⣔⠀⡀⠅⡈⠂⠀⠀⠀⠀⠡⢄⠃⠂⡈⠄⠈⡀⠈⠀⢀⠤⢁⠂⢈⣴⡿⡓⢌⠣⢎⡱⢈⡒⣡⢃⡜⡠⢚⠄⠣⢌⠣⡑⠤⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠧⡝⢮⠳⢮⡳⣟⠾⣷⢯⣿⣷⡀⠄⢈⠒⠀⠄⢱⠉⡂⠴⡄⠀⠤⢱⢢⢣⡙⣾⡽⣹⢖⣊⠼⢠⠐⡄⠂⡀⢠⠠⠌⠡⣈⠦⠐⡀⠌⠠⠀⠐⠀⡀⠐⣈⣰⡾⠧⠔⠼⠬⠘⠰⠤⠣⠜⠤⠣⠴⠡⠇⠬⠑⠢⠥⠱⠬⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡹⡜⣭⣛⢧⡟⣽⣻⡽⣯⣿⢯⠹⢨⠬⢄⡌⠠⠀⡡⢦⠠⠌⡰⠆⢘⡏⢦⣱⣿⡱⣏⣞⡱⡌⢣⠓⣌⠂⡜⠥⢊⡐⣁⠢⠘⡡⠒⠠⠐⡀⠀⡡⠂⢠⡔⣿⣥⡜⣭⠣⣅⠫⡔⣉⠇⢎⡱⢃⢎⡱⠌⠦⣉⠦⣁⠧⡘⡡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡳⣙⠶⣹⢮⡝⣧⢟⣽⣳⢿⣯⣌⣿⠚⢦⣘⠃⢦⢁⠂⠱⡐⢣⡔⠮⡱⢎⡽⡲⣝⢺⣌⠗⣉⠖⢦⡐⠌⡐⣎⡥⢆⡱⢌⠃⢅⡩⠑⡀⠀⠅⠀⢠⣿⢿⠁⣺⡗⢦⡓⣌⣓⠸⡄⣋⠦⡱⣉⠦⣡⢋⡔⢃⠖⣡⠒⠥⡑⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡱⢭⣚⡵⢫⡞⣽⢺⣳⢯⡿⢽⣟⢗⣾⣢⢃⡺⢍⠣⠐⢀⠈⢂⡈⠱⡰⢈⡷⡹⣌⠷⣬⢛⡼⢎⢧⣙⢮⡹⡜⡼⢣⢇⡆⢊⠄⢂⠡⢀⠢⠀⢡⣿⣯⢯⣻⢝⡞⡱⢎⡔⠠⢱⡘⠤⣒⠱⣌⠚⣄⠣⣌⢣⠚⣄⢋⡒⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣙⠦⣓⢞⣣⠟⣮⢻⡼⢯⣿⣾⡿⣿⣿⣧⣿⠿⣤⠠⠳⠤⢠⡀⡔⢣⢠⡟⣴⢣⡝⡺⣔⢫⡜⣭⠲⣍⠶⣱⠹⣜⠳⣎⠴⡡⠊⢆⠁⠆⡂⣹⣿⣿⣿⢯⣳⢏⡾⣙⠶⣈⣓⢣⠜⡱⢌⡓⣌⠓⣌⡓⣌⠒⣍⢂⢇⡘⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢓⡚⡔⣚⠴⣛⡼⣳⢽⣳⢾⣽⣿⣿⣷⣿⣿⢂⠌⣒⠡⣃⠲⣌⠳⡍⠳⡙⢊⠧⢙⠳⠩⠖⡹⢆⠻⢌⠳⢣⠛⣎⠻⢌⠣⠐⢍⡐⢂⠡⢆⣿⣿⣿⣿⣻⣜⡳⣜⡱⣚⠔⣊⢆⠏⣔⢢⠓⡤⢓⣐⠒⡤⢓⠰⣊⢆⡒⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠢⡕⣩⠖⣹⠰⣭⢳⣏⢾⣻⣞⢷⣿⣿⣻⣧⣸⢒⡥⢆⣅⢫⡔⠣⢌⠡⠐⠂⢀⠁⠂⠁⠈⠀⠀⠐⠀⠈⠄⡡⢊⡑⢊⠄⠁⠀⠈⠀⠃⢼⣿⣿⣿⣷⡳⣎⠵⣪⠱⣍⢮⡑⢎⡚⢤⡃⢏⠴⣉⠦⡙⢤⠃⡜⡰⢎⠸⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡱⣊⡕⣪⠵⣛⣜⡳⢮⣻⡵⣧⣾⣼⣿⣷⣻⣜⢧⡒⢼⡇⣣⠜⣡⠊⡄⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢌⠡⡒⡀⠄⢀⣁⢦⣿⣿⣿⣿⣷⣻⡜⣣⢇⡛⡜⢦⡙⢎⡱⢃⡝⡘⢆⢣⠒⣍⠢⡉⢴⡑⢎⡱⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡁⠀⠀⠀⠀⠀⠀⠉⠀⠁⠉⢉⠉⣉⢉⣉⠉⡉⠉⠈⢈⡇⢇⡚⢄⠃⠄⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡈⠤⡑⢌⡒⢧⣚⡧⢿⣯⣍⣉⠉⠁⠉⠀⠁⠈⠈⠀⠉⠀⠁⠀⠀⠁⠈⠀⠈⠀⠀⠀⠈⠉⠉⠁⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠈⠀⠁⠈⠁⠈⠈⢀⠉⡀⠁⠀⠁⠈⢸⠇⡣⠜⡂⠍⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢠⠑⡌⡞⣥⠻⣼⢹⣿⣉⠎⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡀⢂⠐⠀⠀⠀⠀⢸⡈⢇⠱⢈⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄⢣⠘⠶⣡⠟⣧⢛⣿⡝⣎⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿