Messy Finish Emoji Combos

⠚⣿⢻⡟⠓⢻⡟⣿⠛⠀⠀⠀⣸⣷⠀⠀⠀⠚⢻⡖⣦⠘⠳⣖⢷⡛⠀⢚⣶⠛⠛⣿⢻⠟⠀⣸⡷⠛
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⢤⣿⣾⣧⡄⣼⣧⣿⣤⣤⣿⡿⠈⣼⣧⣿⣶⡆⠀⠀⠘⣿⠃⠀⠈⢿⡿⠀⠀⠀⣤⣿⣼⣿⠿⣮⣿⣦
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⠀⠀⠀⠿⠉⢿⢹⡏⠉⠿⠈⣿⢹⡟⠀⠈⢹⠉⠁⠀⠀⣼⢻⡆⠀⠀⠈⢹⡏⡏⠉⠉⣿⢽⡏⠀⠀⠀
⠀⠀⠀⠀⠀⢸⢸⡇⠀⠀⠀⣿⢸⡇⠀⠀⢸⠀⠀⠀⣸⣿⣧⣻⡄⠀⠀⢸⣆⣇⣀⣀⣿⣸⡇⠀⠀⠀
⠀⠀⠀⠀⠀⣾⢸⡇⠀⠀⠀⣿⣸⣇⠀⢀⣼⠆⠀⣰⣿⠛⠻⣟⢷⡀⠀⢸⡏⡏⠉⠉⣿⢹⡇⠀⠀⠀
⠀⠀⠀⠀⠘⠛⠛⠛⠂⠀⠀⠈⠛⠛⠛⠛⠁⠀⠛⠛⠛⠀⠚⠛⠛⠛⠛⠛⠛⠛⠃⠚⠛⠛⠛⠀⠀⠀

new hawk tuah better dot art text art ascii art

ℎ𝑎𝑤𝑘 𝑡𝑢𝑎ℎ..𝔰𝔭𝔦𝔱 𝔬𝔫 𝔱𝔥𝔞𝔱 𝔱𝔥𝔞𝔫𝔤

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hawk one
hawk tuah
hawk red
𝓱𝓪𝔀𝓴 𝓫𝓵𝓾𝓪𝓱

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skibidi ✿. Skibidi dop dop, sigma, hawk tuah, slay baddies.( ͠° ͟ʖ ͡°) Sussy?(‿ˠ‿)  Ɑ͞ ̶͞ ̶͞ ̶͞ لں͞( ° ͜ʖ͡°)╭∩╮( -_•)╦̵̵̿╤─
      𝕾𝖐𝖎𝖇𝖎𝖉𝖎 𝕿𝖔𝖎𝖑𝖊𝖙
     

new skibidi dop dop sigma hawk tuah slay baddies.

⠀⠠⠄⠤⢤⣴⠖⠶⡶⢶⣬⡥⣝⣛⡚⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠀⠀⠉⢧⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⠀⠶⣇⠀⢠⠋⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀
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⠐⢸⠀⠀⠀⠈⢻⡆⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡅⣟⣀⣀⣀⣔⡽⠇⠀⠀⠀⠀⣣⡀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⠏⠉⠻⡆⠀⢀⡤⣤⣖⢦⠀⠀⠀⠀⢀⣴⠶⢶⡤⡀
⣗⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⣇⠀⠀⠀⣧⡃⠃⠀⠀⠀⢿⡇⠀⠀⠀⡿⣄⠀⠀⢣⡇
⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠈⠀⠀⠀⡇⣧⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠙⠿⢶⣎⠖
⠉⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

♡ :skwahyaj: !!!KWAH :♡                                 
) O    |    |   O (                                      
\      |     |     /                                       
)      (  )      (                                        
)/_)/    \(_\(                                        

 .⁺★                                     ⊹                  
.⁺ ★      ⊹         .       ⊹             .⁺ ★                         



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\(\(   )/)/        
* :skwahyaj: !!!KWAH :rb*       
\<~♡              ♡ ~づ/
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 :skwahyaj: !!!KWAH :""
♡づ (c        
)͈ᴗ ͈ᴗ (          
)/)/            


 :skwahyaj: !!!KWAH :"
♡づ (୭
)•༝•˶ (  
)/)/    



* :skwahyaj: !!!KWAH :*
づ  づ/   
♡ ଓ)˶•-•˶(ପ
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" :skwahyaj: !!!KWAH :"
u﹏_⊂
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  ) •  ⊂⊂
♡  __      
₊ ⊹         .

￣￣￣￣￣￣￣￣￣￣￣￣
|        :skwahyaj: !!!KWAH :                     |
|            a fo yrots aD            |
|￣￣￣￣￣￣￣￣￣U U￣|
♡)„• ֊ •„(  
 ∩_∩ ♡

new haut kwah ihsav yrots tup kwah nrop negum

Warning: This item may contain sensitive themes such as nudity.

 
♡ ∩_∩ 
  („• ֊ •„)♡
|￣U U￣￣￣￣￣￣￣￣￣|
|            Da story of a            |
|              Lil bitch                 |
￣￣￣￣￣￣￣￣￣￣￣￣

.         ⊹ ₊
      __  ♡
⊂⊂  • )  
   /     | 
⊂_﹏u
"Ooo a bitch!"


    /)  /)
ପ(˶•-•˶)ଓ ♡
   /づ  づ
*Catches bitch*



    /)/)
  ( ˶•༝•)
୭( づ♡
"Yay! Oh this looks like a bitch..."


            /)/)
          ( ᴗ͈ ᴗ͈)
        c( づ♡
"Dw! I will keep this bitch safe"


    ᐢ⑅ᐢ                 (\ (\
( ˶• ༝ •˶)          ( ˶• ༝ •˶)             
/づ~ ♡              ♡~<\
       *brutally nurders bitch*
        /)/)   (\(\
      ( . .)    (. . )
    o( づ♡⊂  )o



                         ★ ⁺.             ⊹       .         ⊹      ★ ⁺.
                  ⊹                                     ★⁺. 

                                        (\_(\    /)_/)
                                        (      )  (      )
                                       /     |     |      \
                                      ( O   |    |    O )
                                 ♡fuck you♡

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MEWING🤫🧏‍♂️MEWING🤫🧏‍♂️MEWING🤫🧏‍♂️MEWING🤫🧏‍♂️MEWING🤫🧏‍♂️MEWING🤫🧏‍♂️

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

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

new iatneh iruziap bojboob bojtit stit no muc muc mreps lrigtac stit gib sboob gib stsaerb gib noitalucaje iruzap tra tod tra txet tra iicsa

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

new iatneh iruziap bojboob bojtit stit no muc muc mreps lrigtac stit gib sboob gib tra tod tra txet tra iicsa

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

new lrigtac iruziap muc stit gib stit no muc iruzap tra tod tra txet tra iicsa

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

new iatneh iruziap bojboob bojtit stit no muc muc mreps lrigtac stit gib sboob gib stsaerb gib noitalucaje tra tod tra txet tra iicsa

Warning: This item may contain sensitive themes such as nudity.

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this place is either:

actual combos and emojis

drama or some shit idk

porn

and... 9/11 racism jokes!!!!!!!

wow i love this site (not)

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turkey army!!! attack!!!🐃🐃🐃🐃🐃🐃🐃🐃🐃🐃🐃 wait wrong one my bad

new new hawk tuah thorny newfangled drama fresh raw prickly hot late newly untried baby other radical

🎸― ˎˊ˗
     
ok anyways add me on discord - pinksugarsummers 
i like sally face and eddsworld and creepypasta PLS HMU 

new cute hawk tuah sally face pinksugarsummers silly

Copy & Paste Messy Finish Emojis & Symbols 🌋💦⚪ | 🍆✨🍈🍈➡️💦🍈🍈 | 👄💦

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