Sex Ratio Emojis & Text

Copy & Paste Sex Ratio Emojis & Symbols 8======Đ🍆🍑꒒ ꒩ ꒦ ꒰⚤🪐 | S*x emojis | Stop putting

8======Đ🍆🍑꒒ ꒩ ꒦ ꒰⚤🪐
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S*x emojis
Stop putting sexual things... this is not a pornography site, and what the f@ck is wrong with your guys?! there's literally little kids who search for cute emojis and it appear a lot of thorny thing's..
(Y )🍑
pls note the ai inflicts emotional damage (ᵕ—ᴗ—)
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8==> ▄█▀█●
(‿ˠ‿) Ɑ͞ ̶͞ ̶͞ ̶͞ لں͞(‿ˠ‿) Ɑ͞ ̶͞ ̶͞ ̶͞ لں͞$ųçķ mý bäłł§( वाई )🍑
(‿ˠ‿) Ɑ͞ ̶͞ ̶͞ ̶͞ لں͞(‿ˠ‿) Ɑ͞ ̶͞ ̶͞ ̶͞ لں͞$ųçķ mý bäłł§
( ͜ ㅅ ͜ )(‿∣‿)( ͜ₒ ㅅ ͜ ₒ)( ͜ ㅅ ͜ )
can yall shut the fuck up abt horny shit and all that ???
not me rubbing my pussy to some good dot art and stories… couldnt be me !!( • )( • )ԅ(‾⌣‾ԅ)

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⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⡄⠀⢀⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⣾⣷⣴⣾⣿⣴⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢻⣿⣿⣿⡿⠿⢿⡟⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠺⡿⠻⠟⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠰⡇⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⣄⣀⣀⣀⣠⣤⣤⣶⣦⣤⣄⡀⠀⠀⠀⠀ ⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⢉⣽⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀ ⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀ ⠀⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀ ⠀⠀⠀⠀⠀⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀ ⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⡿⠛⣿⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⣠⣾⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⠶⣦⣤⣄⣀⣀⣀⣀⣤⣤⡶⠾⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⣶⣶⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠘⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠈⠻⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣀⣤⣶⣶⣌⠻⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⠁⣰⣿⣿⣿⣿⣿⣦⡙⢿⣿⣿⣿⠄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣦⣙⣛⣋⣼⣿⣿⣶⣿⣿⣿⣿⣿⣿⣯⡉⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⢻⣿⣿⣿⣿⣿⡇⠀⠀⠈⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣴⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⡇⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⢿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣧⣄⣀⣀⣀⣀⣀⣀⡀ ⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠁⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁
⠀⠀⣀⡀⠀⢀⡀⠀⠀⠀⠀⢀⠀⣀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⡇⠿⠃⠉⠁⠀⠀⠀⠀⠉⠈⠉⠐⠂⠈⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⡇⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡇⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⣀⣀⣀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⡀⣡⣤⡖⠒⠛⠒⠓⠒⠛⠒⠒⠦⣤⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡍⠓⠀⠈⠉⠉⠀⠀⠀⠀⠉⠁⠈⠛⠲⣾⣼⡄⠀⠀ ⠀⣸⣯⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⠿⠿⡿⠿⠿⠩⠍⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⠀⠀ ⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⡇⠀ ⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡌⠹⡀⢀⡀⠐⠒⠐⠂⠂⠀⠀⣤⣶⣲⣶⣤⣤⣤⣶⣿⣤⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣷⡀ ⢿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⣄⣿⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⣾⢃⡿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⣉⠲⣹⡇ ⣻⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣋⣙⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣻⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠠⣀⠣⢽⡃ ⣹⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⡆⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡟⢁⣬⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠡⢄⡋⢾⡇ ⣹⠆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣦⣄⣻⢿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣘⣛⠛⢹⣟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡈⠰⠌⣜⣹⠆ ⣹⠆⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣯⡿⠈⠁⠉⠒⠂⠀⠀⠀⠀⠀⠒⠋⠉⣭⠉⢻⣿⡽⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⢀⢣⡙⢤⢻⡇ ⢽⡃⢂⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣙⠇⢠⣶⠶⠀⠀⠀⠀⠀⠀⠀⣦⡀⣰⣿⡇⠀⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠈⠄⣃⠲⢌⢧⢻⡆ ⣻⣧⠈⡔⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣼⡏⣿⢴⣆⣀⣀⣀⣠⣬⣽⡟⣿⢻⣧⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢁⠜⣠⠙⡬⢎⣿⠆ ⠙⣷⠌⠤⣁⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡇⢸⠈⠉⠉⠋⠹⠏⠀⠈⠁⠀⢸⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠐⡨⢐⠦⡹⣜⢫⣾⡇ ⠀⣿⡏⠶⡀⠶⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡇⠀⠁⠀⠀⠀⠰⡆⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠸⡀⢇⡎⣱⠎⣿⡿⠁ ⠀⢸⣯⡒⣅⠊⠤⡈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢀⠁⠀⢠⣆⢸⡝⣦⠀⠀⠀⠠⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠰⢡⠘⠦⡜⣥⢻⣾⡇⠀ ⠀⠀⢹⣷⡌⢣⠆⡁⠆⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⢨⠆⡸⣧⣻⣯⡧⣽⡀⢀⠰⠰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⡌⢑⢢⠙⡼⡱⢎⣿⣿⠃⠀ ⠀⠀⠀⠾⣯⡑⡎⡔⠩⢄⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣮⢇⣹⡾⠛⠛⠛⢧⢻⣦⣢⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡁⠎⡠⢃⡌⢣⠳⣭⢻⣿⠿⠀⠀ ⠀⠀⠀⠀⠛⣷⡱⢎⠵⡈⢆⠡⠌⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣾⢫⡔⠡⢀⠂⠢⢩⢻⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠄⠠⢁⠂⡜⠠⣅⠣⡜⣡⢟⣼⡿⠟⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⢿⣏⡶⣍⢆⠣⡜⠰⡀⢆⡐⠠⠀⠄⠀⠄⠠⠀⢾⣿⡇⡆⣁⠂⠌⡑⢬⢳⣿⠆⡜⡠⢡⠐⡀⢂⡁⠎⡐⠡⢌⠒⡌⡱⢂⢳⣸⡱⣾⣿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠛⢷⣞⣬⠳⣌⠧⣉⠦⡰⣁⠣⢌⠰⡈⢆⡑⢾⣿⣗⡇⠠⠌⡐⠌⣰⢻⣿⣙⢦⡱⢢⠜⡠⢃⠔⢢⢁⠣⣌⠲⣡⢣⡝⣦⣳⡿⠟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢷⣟⣬⠳⣍⠶⡱⣌⠳⣌⠱⣘⠤⢎⣿⣿⠗⡌⣁⠢⠠⠑⢤⢻⣿⣻⣮⢵⣣⢞⡡⣍⢎⡱⣊⠵⣌⡳⢦⣳⣾⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠹⠿⣮⣳⡽⣘⡳⣬⢳⣱⡺⣝⣾⣿⢍⡒⠠⢀⠁⠎⣌⠳⣿⠹⢿⣷⣹⣎⡗⣞⢮⣳⣹⡾⠵⠿⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠛⠛⡷⠯⠷⠯⠷⣿⠛⣿⢸⠆⡁⠂⠌⠰⣸⢍⣿⠆⠀⠈⠛⠛⠛⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⢬⡓⠠⠁⢈⠱⣸⡎⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠌⣧⠁⡃⢀⠲⡽⣘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡘⢬⢃⣇⣨⡘⡗⢬⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣶⣶⡿⣷⢿⡿⣾⢿⡿⣿⢾⡿⣶⣦⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣴⡿⣟⢿⣻⠻⣝⣣⠟⣜⢣⡛⣜⢣⡝⣎⠳⡝⣮⠽⣹⣛⢿⡻⣿⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣶⣶⣿⣿⣿⡿⣭⢷⡹⣎⡳⡝⣎⠶⡙⡬⢣⠹⣌⠳⡸⢌⡳⡙⢦⡛⣥⢛⡮⢷⣹⡞⣽⣿⣟⣷⣶⣶⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣷⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⢿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣴⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣤⣄⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⢿⠀⠈⠉⠀⠀⠀⠀⠀⠉⠙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣠⣾⣿⣶⣿⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⣾⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤ ⠀⠀⠀⠀⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠉⠉⠉ ⠀⠀⠀⣸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠚⠻⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⠟⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠈⢻⣿⣿⣷⣶⣦⣀⠀⠀⠀⠀⣼⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⠿⠛⠋⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣧⣤⣴⣿⣿⣦⣄⡀ ⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⠿⠟⠛⠉⠉⠉⠀ ⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⠤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⠴⠚⠉⠁⠀⠀⠀⠀⠀⠈⠉⠳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡞⡥⠀⠀⠀⠀⣠⠴⢀⣠⠤⢦⡀⠀⠀⠀⠀⠀⠈⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡞⢸⠁⠀⠀⣠⢚⡥⠚⠉⠀⠀⠘⣗⡄⠀⠀⢰⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢾⠇⡎⠀⠀⣰⡳⠋⠀⠀⣠⣤⠶⠢⡿⣸⣆⠀⠈⣧⣄⢸⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⡄⢳⣠⣾⡟⠓⠆⠀⠘⠙⢀⣤⣶⢿⣤⣹⡅⠀⣿⠈⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠸⡇⣾⡛⣶⡦⠀⠀⠀⠛⢱⢼⣷⠸⠋⢣⠀⡇⣹⠛⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢱⠀⠹⣏⠉⢟⣻⣀⠀⠀⠀⠐⠛⠛⠐⠀⠘⣴⡽⣇⠀⢸⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢇⠀⠘⡄⠀⠀⢸⡁⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⢹⡀⠈⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢦⠀⢻⢦⡀⠈⠰⠶⠒⠂⠀⠀⢀⡤⠀⡇⢘⡆⢇⠀⠸⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠳⡼⡀⣟⡶⢄⡀⠀⢀⡠⠖⠁⠀⢀⡇⢸⢻⠸⡀⠀⣿⢇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠏⢳⠟⢀⠷⠈⣹⡇⠀⠀⠀⠀⣼⢣⡞⢸⠀⡇⢰⣼⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠎⣠⠋⢀⡼⠟⠊⠟⠀⠀⠀⠀⠀⣿⠀⠑⢯⣀⣇⣎⢏⡞⠀⠀⠀ ⠀⠀⠀⢀⡠⠾⠔⠓⢞⣁⣀⣀⠀⠀⠀⠀⠀⠀⠀⢻⣀⣀⣀⡈⠛⠿⠯⣀⠀⠀⠀ ⠀⠀⢠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠐⠉⠉⠉⠉⠉⣧⡀⠀⠀⠀⠀⠀⠀⠑⡄⠀ ⠀⠀⢻⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠧⠀⠀⠀⠀⠀⠀⠀⢹⡆ ⠀⠀⢸⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⡼⠃ ⠀⠀⠘⡤⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⢠⠇⠀ ⠀⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⡎⠀⠀ ⢠⠇⣠⡂⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠘⡄⠀⠀⡸⠀⠀⠀ ⢸⡀⠛⠄⢀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⢀⠵⠀⠀⡇⠀⢀⠇⠀⠀⠀ ⠀⢷⡀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠂⠀⠀⠀⣰⠁⠀⣾⠀⠀⠀⠀ ⠀⠀⠑⢤⣀⠀⠀⢀⣠⠴⠋⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⣀⡴⠁⠀⢠⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⢻⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠒⠒⠉⡽⠀⠀⠀⡼⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣾⠀⠐⠀⠀⠀⠀⠀⠑⢤⡀⠀⠀⠀⠀⠀⡇⠀⠀⢠⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡄⠀⠀⢠⡀⠀⠀⠀⠀⠙⣄⠀⠀⠀⢰⠁⠀⠀⣼⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⣇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠈⠁⠀⢀⡜⠀⠀⠀⡗⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⢸⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣿⡆⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠐⡇⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣻⠁⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠃⠀⠀⠸⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡼⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠏⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀
⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡀⢻⣿⡿⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡏⠁⠈⠋⠁⠀⠋⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣷⡄⠀⠀⠀⢀⣀⡀⢠⡀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣅⢀⣄⣠⣿⣿⣿⣿⣿⡄⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣏⢸⣿⣿⣿⣿⣿⣿⣿⣷⣄⠙⠻⠿⠿⠿⠟⠛⠛⠉⠙⠛⠻⢿⣿⣿⣿⣿ ⣿⣿⣿⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⡶⠂⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿ ⣿⣿⣿⣇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿ ⣿⣿⣿⣿⡄⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿ ⣿⣿⣿⣿⣿⣄⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿ ⣿⣿⣿⣿⣿⣿⣦⡈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⢀⣤⠀⣸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣦⡈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⠟⠁⣴⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣌⣉⠙⠛⠻⠿⠿⠿⠿⠛⠛⢉⣁⣴⣾⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿
Infinite cum. You sit on the toilet to jack off, but you begin to cum uncontrollably. After ten spurts you start to worry. Your hand is sticky and it reeks of semen. You desperately shove your dick into a wad of toilet paper, but that only makes your balls hurt. The cum accelerates. It’s been three minutes. You can’t stop cumming. Your bathroom floor is covered in a thin layer of baby fluid. You try to cum into the shower drain but it builds up too fast. You try the toilet. The cum is too thick to be flushed. You lock the bathroom door to prevent the cum from escaping. The air grows hot and humid from the cum. The cum accelerates. You slip and fall in your own sperm. The cum is now six inches deep, almost as long as your still-erect semen hose. Sprawled on your back, you begin to cum all over the ceiling. Globs of the sticky white fluid begin to fall like raindrops, giving you a facial with your own cum. The cum accelerates. You struggle to stand as the force of the cum begins to propel you backwards as if you were on a bukkake themed slip-and-slide. Still on your knees, the cum is now at chin height. To avoid drowning you open the bathroom door. The deluge of man juice reminds you of the Great Molasses Flood of 1919, only with cum instead of molasses. The cum accelerates. It’s been two hours. Your children and wife scream in terror as their bodies are engulfed by the snow-white sludge. Your youngest child goes under, with viscous bubbles and muffled cries rising from the goop. You plead to God to end your suffering. The cum accelerates. You squeeze your dick to stop the cum, but it begins to leak out of your asshole instead. You let go. The force of the cum tears your urethra open, leaving only a gaping hole in your crotch that spews semen. Your body picks up speed as it slides backwards along the cum. You smash through the wall, hurtling into the sky at thirty miles an hour. From a bird’s eye view you see your house is completely white. Your neighbor calls the cops. The cum accelerates. As you continue to ascend, you spot police cars racing towards your house. The cops pull out their guns and take aim, but stray loads of cum hit them in the eyes, blinding them. The cum accelerates. You are now at an altitude of 1000 feet. The SWAT team arrives. Military helicopters circle you. Hundreds of bullets pierce your body at once, yet you stay conscious. Your testicles have now grown into a substitute brain. The cum accelerates. It has been two days. With your body now destroyed, the cum begins to spray in all directions. You break the sound barrier. The government deploys fighter jets to chase you down, but the impact of your cum sends one plane crashing to the ground. The government decides to let you leave the earth. You feel your gonads start to burn up as you reach the edges of the atmosphere. You narrowly miss the ISS, giving it a new white paint job as you fly past. Physicists struggle to calculate your erratic trajectory. The cum accelerates. The cum begins to gravitate towards itself, forming a comet trail of semen. Astronomers begin calling you the “Cummet.” You are stuck in space forever, stripped of your body and senses, forced to endure an eternity of cumshots. Eventually, you stop thinking.
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⠀⠀⠀⣠⣴⡶⠿⠿⠿⠷⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⡾⠋⠁⠀⠀⠀⠀⠀⠀⠙⢿⣦⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠙⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⡿⠁⠀⠀⢠⣾⡆⠀⢰⣶⠀⠀⢻⣧⠀⠀⠀⠀⠀⠘⢷⣄⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⠀⠀⠛⠁⠀⠈⠋⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠈⢻⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⡇⠀⣶⣤⣄⣀⣀⣀⣀⣀⣠⡄⢀⣿⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⡀⠸⣿⣿⣿⣿⣿⣿⣿⣿⢃⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⢿⣦⣈⠛⠻⠿⠿⠟⣛⣵⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠛⠻⠿⠶⠾⠿⣛⣉⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢶⣶⣤⣤⣀⣀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣯⠻⢿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠈⠉⠙⠛⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠟⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⣀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⢀⡴⠶⣦⣴⠛⠉⠹⠏⠙⠳⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⣄⡀⠀⠀⠀⠀⠘⢿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀⠀⠀⠈⢻⣦⠀⠀⠀⠀⡾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠷⣦⣄⡀⠀⠀⠻⣿⣇⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀⣴⠇⠀⠀⠀⠀⠀⢠⡶⠶⢦⣀⠀⠀⠀⠙⣦⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣶⣤⣽⣿⣴⣾⣿⣿⡻⠿⢷⣿⣧⣤⣤⣄⣀⣀⣀⣀⡀⠀⢻⣧⣸⠃⠀⠀⠀⣸⡟⠛⠛⠀⠀⠀⠈⠙⢦⡀⠀⠸⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⠁⠀⠀⠀⠙⣿⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠘⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣆⣰⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣷⣄⣀⣀⣠⣿⣟⠙⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⢀⣾⠋⠈⠛⠳⣆⠀⠀⠀⠀⠀⠀⠘⣿⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⣿⠛⠛⠻⣿⡙⢿⣦⡀⠀⠈⠙⠛⠿⣿⣿⣿⣿⣿⡿⠀⠀⠀⢻⡁⠀⠀⠚⠳⠿⣷⡄⢀⣀⣤⠶⠦⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠀⣿⠀⠀⠀⠘⢿⣄⠈⠻⣦⣀⠀⠀⠀⠀⠉⠛⠿⣿⣷⠀⠀⠰⡿⣷⡀⠀⣀⣀⡀⠀⠀⠈⠉⠙⠷⢀⣿⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⣿⠀⠀⠀⠀⠈⢻⣦⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⢨⡿⣦⣛⠿⠿⠆⠀⠀⠀⠀⣠⣾⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⣿⠀⠀⠀⠀⠀⠀⠻⣧⡀⠀⠈⠹⣷⣄⠀⠀⠀⢿⠀⠀⠀⠀⢰⡟⠁⠈⠛⠿⣶⣤⣤⣤⣴⠾⠟⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠸⣿⠀⠀⠀⣸⣿⠀⠀⠀⣴⣿⠀⠀⠀⣤⠗⠀⣨⣿⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⣽⡇⠀⠀⠀⣿⠀⠀⠀⣻⣦⠀⢀⡀⢿⡏⠀⠀⠀⣻⡆⣐⣿⣹⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀⠀⣿⠀⠀⠰⣿⠋⣸⡾⢧⣾⠇⠀⠀⠸⣯⠙⣿⠛⢿⡉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡟⠁⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⣿⡄⠀⢠⣾⣿⣏⣷⢈⣷⠀⠀⠀⣴⠟⢴⠛⢠⡾⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀⠀⠀⠀⠀⣿⡇⠀⠈⣿⣿⠛⠁⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠃⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⢹⡇⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⣼⡟⣀⣀⣤⣄⡀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⢀⣈⠻⣷⣤⡀⠀⠀⠀⢀⣀⣤⣤⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣿⠛⠛⠿⢷⣦⡄⠀⠀⣼⣿⡿⠟⠛⠉⠙⢿⣆⠀⣾⡇⠀⠀⠀⠀⠀⠀⠘⣿⣤⣶⡿⠿⠻⢿⣦⠙⠿⣶⣤⣶⠿⠛⠉⠉⠙⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⣄⠀⠀⠈⣿⠀⠀⠛⠿⣶⣤⣤⣀⣠⣾⠟⢰⣿⣶⣶⣶⣶⣤⡀⠀⠀⠻⢿⣧⣤⣀⣀⣼⣿⠀⠀⠈⠙⢷⣄⡀⠀⠀⣀⣿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⢷⣾⠟⠀⠀⠀⠀⠀⠉⠉⠉⠉⠁⠀⠀⠻⣿⣄⡀⠈⠉⣿⡄⠀⠀⠀⠈⠙⠛⠛⠛⠁⠀⠀⠀⠀⠀⠙⠛⠿⠿⠛⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢷⣶⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣧⢰⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠻⣇⠘⡞⣿⣌⣧⣹⣷⠸⣇⠀⢧⣹⡄⠈⢿⢳⠈⠻⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⡿⣿⡌⢆⠀⠘⡆⠹⣿⣇⠉⡟⣿⡟⢻⣹⣏⣿⣷⠒⠚⢿⡧⠀⠹⣿⡆⢿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣆⡄⠱⠹⣿⡜⣆⠀⢹⡄⢻⡟⠀⠰⠹⠛⠉⢁⣴⣿⣿⣿⣿⣿⣿⣶⣶⣿⣧⣸⡯⠋⣹⣿⣿⣿⣿⣿⣷⡄ ⣿⣿⣿⣿⣿⠛⠁⠸⣷⣼⣿⣷⣀⠀⠀⢻⣌⡦⠜⠛⠊⠁⠀⠀⠀⠀⠀⣩⠏⠉⠀⢀⣈⣉⠉⠙⠛⢿⣿⣿⣧⣄⣿⣿⣿⣿⣿⣿⣿⣾ ⣿⣿⣿⡟⠁⠀⠀⠀⠹⣽⣷⡘⢿⣦⠔⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡀⢼⣷⣾⡿⣿⣻⣦⡀⠀⠈⢹⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿ ⣿⣿⣿⡇⠀⠀⠀⢠⣼⣷⡈⠳⡄⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠋⠉⠀⢈⣿⣿⡇⠀⠀⢹⣇⢻⣿⣿⣿⣿⣿⣿⣮⣿ ⣿⣏⠈⢻⡄⢀⣷⣋⠔⢒⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣦⡤⠤⣞⣉⣉⣠⣤⣄⢚⡏⠲⢿⣿⣿⣿⣿⣎⢿⣿ ⣷⢻⡆⠀⣹⣿⠟⣡⣶⣿⣶⣾⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠋⠉⠉⠉⢹⠛⠓⠠⠭⠭⠽⠶⠴⢿⣿⣿⣿⣿⣿⣝ ⡜⣧⠱⣾⠏⣠⣾⣿⡿⠋⢁⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢿⣷⣶⣦⣤⣤⣤⣤⣬⡿⢿⣿⣿⣿ ⣿⡌⢧⡈⣴⣿⣿⢋⣶⣶⣿⠿⣟⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢯⣿⣟⣿⣟⣉⣀⣠⣤⣾⠿⣿ ⣿⠿⣄⣹⣿⡿⢁⡾⣿⠟⠿⠀⣸⣿⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠿⣿⣿⣿⠏⠋⣻⣶ ⣾⠟⠋⣿⣿⠇⠈⣿⣷⣄⣀⡴⣻⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠟⢁⣴⣿⣿⣿ ⣿⡤⢺⣿⣿⠀⠀⠹⣿⡿⣏⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠔⢚⣷⣶⣄⠀⠀⠀⠀⠀⠀⠸⣿⣿⣷⣿⣿⣿⣿⣿ ⣇⢳⣾⣿⡿⣦⠀⠀⢠⡟⠉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠄⠀⠀⣠⣴⣿⣍⣻⣿⣆⠀⠀⠀⠀⠀⠀⠈⡟⢿⡿⣿⡭⠭⢤ ⣿⣿⣿⣷⣄⠀⠀⣄⡻⠤⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣧⠴⢲⣾⠿⠟⠉⠀⠀⠈⠙⡿⠀⠀⠀⠀⠀⠀⡸⠀⠈⢷⠀⢀⣦⠞ ⣿⣿⣿⣿⡙⠛⠒⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣡⠞⠉⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⣰⣥⣤⣤⣼⣛⣽⠋⠀ ⠻⣿⣿⣿⣿⣶⣄⠀⠀⢀⡾⣻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠏⠀⠀⠀⠀⠀⠀⠀⢀⡴⠁⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⠃⠀⠀ ⣀⡈⠙⢿⣽⣿⣿⣷⠶⠿⣷⣿⠇⠀⠀⢠⣾⢿⣷⠀⠀⠀⠀⠈⠓⠢⠤⠤⣀⣀⣀⠠⠋⠀⠀⠀⠀⠀⠀⣰⠏⠉⠉⠙⠻⢿⠃⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡏⠀⠀⣠⣾⠧⣀⣀⡴⠛⠉⠚⣿⣛⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⡄⠀⠀⠀⠀⢀⠞⢹⠗⣄⡀⠀⣀⠜⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣷⡿⠻⠿⣷⣾⠛⠀⠀⣠⡾⠙⢹⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣣⠔⣹⠾⢿⡿⢯⣁⠀⠀⠀⠀⠀ ⣿⡿⠟⢿⣿⣿⣿⣿⠁⠀⣠⣾⣿⣤⣤⡼⣿⠁⠀⣸⠓⣶⣶⡤⠀⢀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣾⣿⣿⣿⠏⢀⣼⢸⠉⢫⢣⠀⠀⠀⠀ ⠏⠀⠀⠘⣿⣿⣿⣿⣆⣰⣿⣿⣿⣿⠟⣸⣿⡀⣀⡟⢠⣿⣽⣇⢀⣀⣀⣀⣀⣀⣀⣤⣶⣿⣿⣿⣿⣿⣣⡶⡿⠒⠉⠀⢘⡀⡆⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⡟⠵⡚⠀⢈⢻⡿⠋⣴⣿⣿⣿⠿⠓⠚⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠛⠛⠛⠓⠷⠖⠛⠛⠛⠓⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠎⠉⠹⠿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⡰⣸⠟⣧⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⡜⠀⠀⢀⠀⣤⣼⣿ ⠀⠀⣆⠀⠀⠀⣠⡇⡏⢷⣿⣤⣤⣤⣤⣤⣼⣇⣀⣀⣀⣐⣏⣦⣤⡾⣿⠁⠈⣹ ⠀⢰⠋⠁⠀⠊⢠⢰⡀⠀⠙⣶⣾⣿⣿⣿⣿⡏⠉⢉⠽⢋⡯⢧⠏⠁⠂⠀⢐⣽ ⢀⠊⠀⠀⠀⠀⢹⢸⣿⣤⡀⠈⣿⣿⣿⣿⣿⣿⣴⠇⣴⠏⠀⠀⠁⠀⠶⣀⣞⢋ ⠺⢄⠀⠀⠀⡂⠸⠘⡿⠋⠉⠉⠉⠙⠭⣿⣿⠟⠘⣿⡏⠀⠀⠀⠀⠀⠀⠉⠙⠚ ⠀⠀⠀⠀⠀⠀⢀⠜⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠉⠀⠆⠀⠀⠁⣴⣶⣦⣤⣄ ⠀⠀⡀⠀⠀⡀⠄⡢⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⢠⠀⡴⠿⠿⠿⣿⣿ ⠀⠀⠈⢗⠂⢄⠀⠀⠈⠀⣢⠀⠀⠀⠀⠀⠀⠀⠀⠀⡍⠀⠈⢀⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠑⣏⠂⠴⠀⠼⠁⠀⠒⢀⡀⠄⠒⠂⠈⠀⠈⠲⡶⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⡀⠀⠀⠀⠑⠈⠹⡀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⣧⡀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣼⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢀⣠⠶⠟⠿⠿⠿⢿⢿⣶⣶⣶⣶⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡧⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠓⠀⠀⠀⠠⠿⠖⠒⠻⣯⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⢠⣺⣿⣿⡇⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⡁⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⣿⠟⠃⠀⣧⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡰⠃⠀⡀⠀⠀⡀⣠⠀⠀⣶⣵⣷⣿⣿⣿ ⠀⠀⠀⠀⢠⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⢸⡏⢻⣤⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠠⣾⡿⠧⠦⠄⠠⢀⣤⣿⣿⣿⣿⠏⠈⠙⠛⢻⣿ ⠀⠀⠀⠀⣼⣣⠀⠀⠀⠀⠀⠀⠀⢀⣾⢿⠀⢸⠀⠐⢿⣿⣿⣿⣛⣛⣻⣗⣖⣒⣲⣶⣶⣶⣶⣾⣿⡧⠤⣤⣤⣤⣤⣄⣀⣀⣀⣘⣧⣠⣶⣶⣦⣽⣿⡿⢿⣻⣏⠀⠀⠀⠀⢸⣿ ⠀⠀⠀⢀⣿⠙⢷⣄⠀⠀⠀⣠⡶⠋⠁⡏⢀⡟⠀⠀⠀⠻⢿⣿⢀⣀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⠛⠛⠓⠒⠶⠖⣤⡿⠿⣟⢿⣇⠉⣿⠟⠿⢤⣀⣈⠃⠀⠀⠠⣤⢿⣿ ⠀⠀⠀⣸⠟⠂⢤⠈⠛⠒⠛⠁⠀⠀⣰⠇⣼⣅⡀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣠⠾⠋⢀⣠⣿⡷⠟⢾⡏⠀⠀⠀⠈⠉⠀⠀⣤⣄⣠⣾⣿ ⠀⠀⢠⠟⠀⠀⠀⠀⠀⠀⢠⡄⠀⠘⣿⠀⡏⣿⣷⡂⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣠⡞⠁⠀⣰⣾⢟⠩⠤⠤⢼⣇⠀⠀⠀⠀⠀⠀⠰⠉⢠⣿⣿⡿ ⠀⢠⠟⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⢸⠀⣷⣿⣿⣿⣦⣀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⠃⢀⣾⢿⠋⠀⠀⠀⠀⠀⠀⠙⠲⢤⣾⣿⠟⢀⣠⣿⣁⣠⣤ ⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⣼⡆⠻⣿⣿⣿⣿⡿⠗⠓⠒⠒⠲⠽⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⠟⢹⡇⡼⣿⡟⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠿⢿⣿⣯⣠⡇ ⠈⠳⣆⡀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢹⡇⠸⢽⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣾⣿⣿⣿⣿⣿⡿⠋⠘⢸⣧⡇⣿⠀⠣⠀⠀⠀⠖⠉⠓⠶⢤⣄⠀⠀⠀⠀⠀⠀⠈⠙⠻⠇ ⠀⠀⠈⠙⢦⡀⠀⠀⠀⠀⠀⡸⠀⠀⠘⡇⢀⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⠿⠋⣠⠞⠀⠈⢿⣇⠙⠲⠀⠀⣠⠖⠋⠉⠙⢶⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠔⠁⠀⠀⠀⢀⡬⠔⠚⠉⠉⠀⠀⠀⠀⠀⢤⡀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀⠀⠙⠃⠀⣴⠞⠁⠀⠀⠀⠀⠈⠀⢸⣿⣿⣶⣦⣤⣤⣀⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⡀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠰⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠄⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⢰⢋⣠⠴⢚⣉⡿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡴⠚⠱⡄⠀⠀⢨⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠈⠓⢤⣠⣄⡀⠀⠀⠈⢱⠞⠉⠀⠰⢏⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠏⠀⠀⠀⡆⠀⠠⣯⠉⠉⠉⠉⠉⠙⠛⠛⠛⠛⠛⠛ ⠀⠀⠀⠀⠀⠈⣕⡯⠳⠦⢄⡀⠀⠀⠀⠀⢀⣀⣉⣉⣉⣉⡽⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⠉⠀⣤⡤⠚⠁⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢦⣄⠀⠙⠲⡄⠀⠀⠀⣄⣀⣉⣥⣤⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠋⢧⠀⠀⠀⠀⠀⢀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⣸⡍⠳⣄⠀⠠⣄⣉⣁⣉⡴⠋⠀⠀⢀⣠⡴⠊⠀⠀⠀⠀⢀⣠⠴⢦⡖⠒⠒⠋⠁⠀⠀⠈⠳⢤⣄⣤⣼⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢯⢧⠀⠀⠉⠓⠒⠦⠞⠋⠀⠀⠀⠀⠉⠀⢀⣀⣀⡤⠴⠚⠉⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠩⢭⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡄⠀⠀⠀⠀⠀⠀⠀⠈⠸⠶⠒⠒⠋⢹⠁⠀⠀⠀⠀⠀⠀⠀⠀⠻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡅⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣦⣄⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⣶⣿⣆⠀⠐⠙⠛⠛⠳⠂⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠈⠙⠦⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠉⠑⠒⠲⠤⠤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠁⣠⠔⠉⠀⠀⠀⠀⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠤⢄⡀⠀⠀⠀⠤⡀⠀⢶⡏⠀⡰⠁⠄⢀⣀⠀⣀⣀⡤⠤⠂⠀⠰⣄⠁⠀⠀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠦⣠⣤⣼⣦⣀⣧⠀⡇⢀⣤⣾⣯⣽⣄⠀⢀⣀⡠⢶⡀⠈⣳⠖⠊⠁⠀⠀⠀⠀ ⠓⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣤⣧⡀⠉⠹⠿⣿⡏⠠⣸⣿⠟⠉⠁⠀⠀⣀⡠⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⣷⣶⣾⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠋⠀⠀⣿⣶⣟⣻⣀⠀⣀⡁⠀⠀⢠⡀⠀⣄⣀⣉⡹⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢥⣤⣤⣤⣤⣬⠹⠛⢶⣦⣤⠤⠤⠴⠖⠒⠉⠁⠀⠀⠀⢀⠟⠉⠉⠉⠙⢠⠋⣹⠆⠀⠘⠓⠾⡩⠟⠉⠀⢰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣦⣭⣽⣛⣛⣿⣿⡴⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⢀⡇⡴⠃⠀⠀⣀⠴⠊⠀⠀⠀⠀⠀⠙⠳⢤⣀⣀⣀⣀⣠⣤⣾ ⠉⠻⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣧⠤⠖⠶⠟⠻⠛⠻⢶⠖⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠋⢹⣿⠟⠛⠉ ⣦⣄⣈⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣎⠀⠀⠀⠀⠀⠀⣠⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠒⠲⠤ ⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⠋⢁⡬⠛⠉⠉⢑⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⡀⠀⠀ ⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⢀⠎⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣷⣄⡀ ⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⣸⠀⠀⠀⢠⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣁ ⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢠⡏⠀⠀⣠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠹⡿⣿ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡸⣿⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠹⠌ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⢻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀ ⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀ ⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⠀⠀⠀ ⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀ ⣿⣿⣿⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀ ⠿⠋⠁⢀⣹⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀ ⢀⡤⠖⠉⠀⠀⠹⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣬⣿⠷⠶⠶⠤⢤⣤⣤⡤⣤⣹⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⠟⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡠⠤⠒⠋⠉⠀⠀⠀⠀⢀⡴⠞⠋⣀⡴⠞⠋⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⠒⠁⠀⢀⡀⠀⠀⠀⠀⣠⡴⠞⣉⣠⠴⠚⠁⠀⠀⢀⣴⣿⣿⣿⣿⣶⣦⣤⣤⣀⣤⣤⣤⣤⣶⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣾⣟⠀⠀⡀⠀⠀⠀⠀⣿⠉⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡿⠁⠙⣧⠸⡷⣤⡀⠀⠀⣿⠀⠀⠙⠲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⠀⠀⠘⢧⣵⣬⡛⠲⢤⣿⡆⠀⠀⠀⠈⠛⠲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠖⠒⠛⠛⠛⠛⠛⠒⠢⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⠀⠀⢀⣤⠿⡛⠛⠛⠀⠊⢷⣄⣀⠀⠀⠀⠀⠀⢹⣧⣠⡀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠳⣦⣾⣥⣀⠀⠀⠀⢀⡶⣻⣭⣭⣛⣲⢤⣀⠀⣼⣿⡟⣷⠀⠀⠀⠀⢀⡼⠋⠀⠀⠀⠀⣠⣤⠤⠤⠤⠤⠤⣤⣄⠀⠀⠀⠀⠹⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠟⢻⡇⠉⠛⠦⠴⠏⠘⢻⣭⡽⠿⣿⠁⠙⠳⡟⠉⣿⠉⠀⠀⠀⢀⣾⠁⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠰⣷⣛⡀⠘⣧⠀⠀⠐⢳⣤⣄⣠⣄⣠⣄⡟⠀⠀⠀⢿⠀⢹⡆⠀⠀⠀⣸⠃⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⢀⣠⠴⠋⠁⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠙⣻⡟⢹⣧⣄⣀⣸⡷⢿⡽⠛⠛⣸⠀⢀⣴⠀⣾⠆⢸⡇⠀⠀⠀⡏⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⠀⠀⠙⢿⡉⠁⠀⠀⠀⠀⠐⠛⠛⠛⣷⠤⣿⡀⣼⠃⠀⠀⢸⡇⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣿⠀⠀⠀⠀⠙⠲⢤⣄⣀⣀⠀⠀⠀⣼⠁⠀⣰⠞⠁⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠉⠛⠲⠦⢤⣤⣀⣀⡀⠀⣀⣀⣀⣤⡾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⡀⠀⢀⣠⡤⠀⠀⠀⠙⣯⠀⠀⠸⣧⡤⠖⠉⠀⠀⠀⠀⠀⠋⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠯⢭⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⣷⠖⠋⢹⡇⠀⠀⣰⠟⠛⠓⠲⣤⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠀⠀⢬⣧⣀⣤⣿⠀⠀⠀⠀⠀⠈⠉⠛⢦⣄⠀⠀⠀⠀⠀⠈⠛⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠉⢸⡇⠀⠀⠀⠀⠀⠀⡀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠈⠙⠳⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣧⢻⢳⡄⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠲⠤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⣿⡀⠀⠀⠙⠈⢳⣽⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠓⠲⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⣆⠀⠀⠀⠀⢾⡇⠀⠀⠀⠀⠀⠻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⡀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠻⡄⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠙⠓⠤⣤⣀⠀⠀⠀⣀⣀⣤⣤⣤⣤⣄⣀⠀⠀⢀⣿⠇⠀⠀⠀⠀⠀⠀⣠⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠷⢴⣷⡄⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢛⡿⠛⠋⠉⠀⠀⠀⠀⠈⠉⠛⢶⡚⠁⠀⠀⠀⠀⠀⣠⡼⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⢀⣠⡤⠾⣯⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡟⠉⠁⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⢿⠦⣤⣀⠀⢠⡀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⣿⠀⠀⠀⠀⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠸⣆⠀⠙⠛⠒⣷⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠁⢹⠄⠀⠀⠀⠀⠀⠀⠈⢷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⠀⠀⠀⠀⢹⡄⠀⠀⣴⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⣻⣴⡞⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠈⡇⠀⣸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣡⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⢸⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣫⣿⡾⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀⠀⠀⢸⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣯⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⡆⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣏⠀⠀⣧⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣼⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⠀⣻⡤⣤⣻⡇⠀⠀⠀⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢯⡇⠀⠀⠀⠀⠀⠀⠀⣰⠛⠁⠀⠀⠈⣷⠈⣿⠀⠀⠀⠀⠀⠀⠀⣠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⡾⠁⠀⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⣿⠀⡇⠀⠀⠀⠀⠀⠀⣴⠏⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣾⡥⠀⠀⠀⠀⢀⣷⡟⠀⠀⠀⠀⠀⠀⠀⣿⣀⠇⠀⠀⠤⠤⢴⣾⡏⠀⠀⠀⢸⣄⠀⠀⠈⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠟⠁⠀⠀⠀⠀⢸⣿⠁⠀⠀⣀⡤⢀⠀⠀⡿⢿⡟⠀⠀⠀⠀⠀⠹⣇⠀⠀⠀⠈⠛⠳⣤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠡⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠈⠁⠀⠈⣇⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⢀⣼⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⣿⣄⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⢻⣶⠦⣤⡾⠟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣻⠃⠀⠀⠀⠀⠀⠀⠀⣰⣧⡖⠃⠀⠐⣦⠀⠀⠀⠸⣀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⢀⣿⠟⠃⠀⠤⣤⣭⠷⠀⠀⠀⠉⠋⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⢉⠀⠀⠀⠀⠀⠀⣠⡾⣫⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⡀⠀⠀⠀⠀⠀⠀⠀⣿⠠⠄⠤⠤⠤⠤⠤⠤⠤⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣀⠀⠀⠰⠁⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠉⠣⡆⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣄⠀⠀⠈⢢⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢝⣷⣄⠀⠀⠑⢄⠸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡳⠂⡷⢯⣥⣤⣶⣾⣷⣶⣦⣄⠀⠀⠀⠀⠀ ⠀⠀⠂⢄⠀⠀⠀⠀⠀⠀⠀⠀⢁⡤⠷⠐⠋⣹⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀ ⠀⢀⠀⠀⠈⠐⢄⠀⠀⠀⠀⠀⠈⣐⡦⠚⠀⠘⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⠀⠀⠈⠐⠦⢄⡀⠑⢄⠀⠀⠀⢸⡏⠀⠀⡇⠀⠘⣿⣿⣿⣿⠛⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢈⣑⠤⡑⣄⠠⠘⠃⠀⠀⠂⠄⡀⠹⡏⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠔⠋⠁⠀⢀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠑⢧⠀⠀⡄⠀⠀⠀⠀⠀ ⠀⠀⡴⠁⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⣄⠘⣄⡀⠄⠀⠀ ⠀⣸⠁⠀⠀⠀⠀⢸⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣦⣀⠀⠀ ⠀⡏⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⡿⠆ ⠀⢿⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀ ⠀⠈⢆⡀⠀⠀⠀⠀⠀⠙⠠⣀⠀⠀⠀⠀⢀⠠⠐⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀ ⠀⢀⣀⣯⡒⠤⠤⠤⠤⠐⠉⠱⡈⠉⠉⣁⣀⣀⣀⣀⠀⡠⠂⠀⠀⠀⠀⠀⠀ ⣼⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⢀⠘⢂⣾⣿⣿⣿⣿⣿⣿⣧⢄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⠤⠶⠶⠶⠤⠤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⠚⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡼⢣⡶⠀⠀⠀⠀⠀⣠⠖⠉⣀⡴⠶⠊⢷⡆⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣼⠃⡼⠁⠀⠀⠀⣠⠞⣡⡴⠋⠁⠀⠀⠀⠘⣿⣧⡀⠀⠀⠀⣇⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⡏⢠⡇⠀⠀⠀⣼⣣⠞⠃⠀⠀⠀⣀⣠⣤⣄⣿⡇⢧⡀⠀⠀⢻⣄⡀⠀⡗⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⡇⢸⡇⠀⢠⣼⣿⣏⡀⠀⠀⢠⢾⠛⠉⠁⢀⣿⡉⠛⣷⣄⠀⢸⣿⠻⣶⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⡇⠀⣇⡴⢿⣿⡉⠉⠉⠁⠀⠀⠀⣀⣶⠾⢿⡛⠟⢶⣼⡇⠀⢸⢻⡀⣹⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣧⠀⢸⡆⣿⣛⠩⣿⣷⠀⠀⠀⠀⠙⠉⣷⢾⣿⡇⠾⠀⢻⠀⢸⠇⣽⠛⢹⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡄⠀⠻⣏⠛⠳⡿⢿⡞⠀⠀⠀⠀⠀⠾⠿⠿⠇⠆⠀⠀⣆⣼⣱⡇⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢳⠀⠀⠙⡄⠀⠙⠉⢹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡿⠁⢿⡀⠀⢸⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢧⠀⠀⢻⡄⠀⠀⠈⡷⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⢰⠘⡇⠀⠈⢿⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢷⡀⠘⡟⠦⣀⠀⠀⠒⠒⠋⠉⠁⠀⠀⢀⣠⠆⠀⣹⠀⣈⡇⢹⡄⠀⠸⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠱⣄⣷⠀⢹⡳⣄⡀⠀⠀⠀⠀⣀⡴⠚⠁⠀⠀⣿⠀⣟⢿⠈⡇⠀⠀⣹⣻⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠻⣧⣿⠇⢰⡍⠳⠤⣴⠛⠁⠀⠀⠀⠀⢰⣿⠀⡿⢸⠀⢸⡀⢀⣿⡇⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠇⢀⡼⠋⢀⣮⡇⣀⠴⡟⠀⠀⠀⠀⠀⠀⣿⠃⠻⣅⣼⠀⢸⡇⢸⣹⠀⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠏⢀⡞⢀⣀⡸⠟⠋⠁⠘⠁⠀⠀⠀⠀⠀⠀⣿⠀⠀⠉⠳⢄⣸⣧⣧⣟⡼⠉⠀⠀⠀ ⠀⠀⠀⠀⢀⡤⠿⠤⠚⢲⣟⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⡀⠀⢀⣀⠙⠛⠿⢾⣄⠀⠀⠀⠀ ⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠓⠀⠴⠒⠒⠚⠒⠛⠛⣿⡉⠉⠉⠀⠀⠀⠀⠀⠀⠙⢢⡀⠀ ⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣄ ⠀⢸⢹⠀⠀⠀⢀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⠀⠀⢸⠀⠀⢀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡄⠀⠀⠀⠀⠀⠀⠀⣼⠛ ⠀⠀⠸⣇⣰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⢀⡏⠀ ⠀⠀⣰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀⠀⠀⠀⠀⠀⣼⠀⠀ ⠀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⣰⠃⠀⠀ ⣼⢃⣴⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⢳⠀⠀⠀⢠⠏⠀⠀⠀ ⣿⠈⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣶⠀⠀⢸⠀⠀⠀⣾⠀⠀⠀⠀ ⢹⡆⠀⠀⠐⠊⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠉⠈⠀⠀⡼⠀⠀⢰⡇⠀⠀⠀⠀ ⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⣸⠃⠀⠀⣼⠀⠀⠀⠀⠀ ⠀⠀⠈⠳⢤⣀⣀⣀⣀⣀⡴⠖⠋⠀⠀⠀⠀⠙⠦⣀⠀⠀⠀⠀⠀⠀⢀⣠⠾⠁⠀⠀⢰⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣇⢻⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠒⠒⠒⠋⠉⣿⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢽⣼⠀⠀⠄⠀⠀⠀⠀⠀⠀⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⡿⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣿⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⢹⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⢼⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡼⣇⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣧⣿⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣹⠃⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣄⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⣽⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠈⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⣀⠀⠀⠀⠀⠀
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⠀⢀⡴⣎⣁⡠⠿⠒⠒⢶⡟⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠤⠤⠐⠒⠠⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠋⠀⡰⠋⠀⠀⠀⢠⠞⠳⣶⠃⠀⠀⠀⣀⢠⡤⢤⡤⣀⣠⡴⠋⠙⣆⠀⠀⠀⠀⠀⡀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⠒⢺⠁⠀⠀⠀⣰⣁⢀⠔⢁⡠⠔⠺⢯⡴⢊⡔⠁⣠⠞⠉⢱⣀⣀⣘⣄⠀⠀⢀⡔⠁⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⡀⢸⣄⠀⠀⠀⣇⣸⣏⡔⠉⠀⠀⠀⠀⣇⠎⢀⡜⠁⣠⠲⣏⢫⡉⠉⠉⠉⠉⢹⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢿⠉⠉⠢⡀⠀⢏⠉⡍⠀⠀⠀⠀⠀⠀⠿⠧⠿⣧⠞⠈⠳⡈⠢⣙⣄⠀⠀⠀⠈⡆⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢦⣠⠬⣶⡍⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡄⠙⡄⠑⠦⣀⠀⢣⠀⠀⠀⢀⠛⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣶⠋⠉⠉⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠱⡀⠀⠈⠑⠾⣆⣀⣠⠎⠀⠹⡀⢀⣠⣤⣤⣀⠀⠀⠀⠀⠀⠀ ⡀⠷⣄⣀⣀⠴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⢳⠀⠀⠀⠀⠘⡅⠀⠀⠀⠀⢻⠟⠷⣄⡭⠞⠛⢢⡀⠀⠀⠀ ⢧⡀⠉⠀⣴⠆⠀⠀⠀⠀⠀⠰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠘⡆⠀⠀⠀⢰⠇⠀⠀⠀⢀⡞⠀⠸⣅⠀⣠⣴⣾⡷⡄⠀⠀ ⡆⠈⠀⢸⣷⠀⠀⠀⠀⠀⢤⠀⠙⡄⠀⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⡇⠀⠀⠀⢸⠒⠒⣲⠞⠋⠉⠑⢦⣌⢻⡟⠉⠀⢀⣸⡀⠀ ⢱⡀⢆⠈⠁⠀⠀⠀⠀⠀⠀⠳⢄⡘⢦⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠈⣷⣾⣅⠀⣀⢴⣞⣿⣿⣿⣿⣤⡖⢋⣽⣧⠀ ⠀⠙⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⡆⠀⠀⠀⠀⢸⠉⠉⠈⠳⢶⣿⣿⣿⣿⡇⠀⠁⠀⣼⣿⠀ ⠀⠀⠘⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡇⠀⠀⠀⠀⣼⣷⣄⠀⠀⢀⣨⡽⠟⠋⣿⠀⠀⠀⡟⢻⡂ ⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⢀⡃⠀⠀⣠⣼⣿⣽⣿⣆⣰⣿⠛⠶⠶⠿⢻⡀⠀⣸⠃⠈⠀ ⠀⠀⠀⠀⠀⠙⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀⠀⠀⠀⠀⣠⠞⠀⣸⠉⠛⠉⠀⠙⢿⣿⣿⣿⡉⢹⣷⡄⠀⠘⢿⣁⣴⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠓⠤⣀⡀⠀⠀⠀⠀⢀⠎⢣⠄⢀⡤⠖⠚⠳⢄⠀⡏⠀⠀⠀⠀⠀⠚⠻⢤⣉⣉⢙⣿⣧⣤⣴⣿⡿⠛⢿⣄⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢦⡠⠚⠁⠀⠢⣧⠀⠀⠀⠀⠀⠀⠻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢿⣏⠉⠉⢿⣇⠀⠀⠙⠻⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣤⣸⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣁⣀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠒⠤⠬⠭⢉⡘⠃⠀⠠⠤⠤⠤⠀⠀⠤⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠒⠛⠣⠄⢈⣉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⡠⠂⡀⠉⠂⠠⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠐⠂⠄⡀⠀⠠⡀⢴⠀⠎⠀⣀⡀⠠⠄⠀⠠⡀⢀⠀⠀⠀ ⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣻⡛⠚⢶⡴⢋⣿⠗⠐⠒⣈⡦⠚⠁⠀⠀⠀ ⢟⠚⠓⡦⣄⣀⠀⠀⣀⡀⠔⠋⠀⡹⠯⠧⢂⢤⢀⢰⣠⢦⠥⢋⠀⠀⠀⠀⠀⠀ ⣾⣭⣟⣳⣶⠝⠁⠀⠀⠀⠀⠀⢰⠁⠀⣀⣎⣎⠀⡠⠐⠁⠀⠀⠑⠤⢀⣀⣠⣴ ⣄⣙⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⡜⠉⠉⠉⢉⠝⠁⠀⠀⠀⠀⠀⠀⠀⠁⢸⠥⠄ ⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⡠⠈⡐⠉⠉⡕⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀ ⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠁⢰⠀⠀⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣏ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⣿⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠝ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡩⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠀ ⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀ ⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀ ⠋⣁⠜⠢⣀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠀⠀⠀ ⠈⠀⠀⢀⣹⠽⠶⠠⠤⡤⠤⣼⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠃⠀⠀⠀ ⠄⠐⠉⠁⠀⢀⡠⢔⡩⠔⠋⠀⣭⣿⣧⣤⣀⣀⣀⣀⣠⣤⣶⣿⣿⠄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡫⠡⠀⡨⠭⡙⠦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⡡⠒⡠⠥⠆⡐⢌⢢⠘⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⡿⢃⠞⣠⠊⠐⠀⡀⡸⡄⠲⣄⢹⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣻⢁⠎⣠⣿⣰⡷⣾⠱⣴⣹⡄⠈⡆⢧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡇⣼⢠⣿⣿⣿⠿⢃⠀⠈⣿⠟⢹⣿⣾⢂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⡧⣿⣿⠁⠉⠁⠀⠉⠿⢒⠏⣙⣾⣿⡧⠊⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠙⣿⣿⣦⡀⠀⠀⠀⠀⢁⡴⣿⣿⣁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣌⡦⢤⡴⢊⠗⢁⣻⣿⣤⣀⠀⠀⠀⠀⠀ ⠀⢀⠐⣈⣾⣿⣿⣿⣿⣿⣿⣬⣹⣄⣿⣿⣿⣿⣿⣿⣿⣿⣦⡄⠀⠀ ⢰⣾⣶⣿⣿⣿⣿⣿⣿⣯⣭⣍⢛⠛⣛⠻⣿⣿⣿⣏⠹⢟⠻⣿⠀⠀ ⣸⣿⣿⣿⣿⣿⡫⠿⢟⡿⠿⣿⣿⣾⣿⣿⣥⣾⣿⣯⣠⠊⣸⣿⡇⠀ ⠹⣿⣿⣿⣿⡏⠀⠀⠀⠀⠑⠶⠤⠄⠈⠉⠩⢝⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠘⣿⣿⣿⣄⠀⠀⠀⠀⡄⠐⡀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣿⣿⡀ ⠀⠀⠈⠛⠛⠛⠑⠒⠒⠉⠀⠀⠱⣄⡀⠀⣀⠴⢙⢿⣿⣿⣿⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⡆⠀⠹⣿⣿⣿⠟⠀ ⠀⠀⠀⠀⢀⣴⡷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣧⠀⠀⠈⠉⠁⠀⠀ ⠀⠀⠀⢀⣾⢱⠡⠂⠁⠂⠠⠤⠤⠤⠤⠐⡚⢳⠑⣧⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⡇⡌⠀⢀⠀⠉⠑⠐⠂⠰⠂⠉⠰⠀⡆⠸⡷⡀⠀⠀⠀⠀ ⠀⠀⢸⢣⢃⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⣴⠀⡆⠸⡀⢱⡰⡀⠀⠀⠀ ⠀⢀⡏⣸⠸⠀⣈⠀⡄⠀⠄⠀⠀⢰⠀⠘⡄⢰⠀⢡⠀⢧⢱⠀⠀⠀ ⠀⢸⣤⡟⡄⠀⣿⠀⡄⠀⠀⠀⠀⠈⠀⠀⡇⠀⡇⠈⣆⣸⡟⠃⠀⠀ ⠀⠀⠀⢿⣗⣦⣇⠀⠀⠀⡀⠀⠀⠀⡇⠀⢷⠀⣽⣶⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠸⣯⠙⠿⣵⣷⣦⣇⢀⣆⠄⣷⣄⣾⠿⠋⠀⣼⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⡄⠀⠀⠀⢈⣻⣿⣙⣻⣉⡉⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡠⠁⠀⠀⠠⠆⡤⠤⠆⣁⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠔⠀⢀⠔⢒⠶⠿⢦⢤⣄⠀⠑⡀⠀⠈⢂⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠃⠀⠀⡞⣾⢋⣠⢰⡇⠉⢎⣧⠀⠱⣀⡠⠄⢿⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⡰⠁⠀⠀⡰⠀⣿⣸⠳⠟⣧⠹⡑⠻⣓⠔⠁⠀⢀⠎⢁⣀⣀⣀⠀⠀⠀⠀ ⢰⡇⠀⠁⠐⠣⢿⣄⣀⣤⣀⡏⣧⢳⣄⠈⠐⠄⡠⣂⣠⠀⠀⠀⠀⡸⠀⠀⠀ ⠈⠑⢄⠀⠀⠀⠀⠈⠁⠀⠈⢉⡹⢃⠩⡑⠄⡀⠀⠁⠚⠤⣄⠂⠉⠀⠀⠀⠀ ⠀⠀⠀⠈⠒⠤⣄⠀⠀⠀⠀⠈⠶⢾⢂⡟⠦⠌⡁⠒⠀⠄⢀⣁⡢⡀⠀⠀⠀ ⠀⠀⠐⣤⣤⠔⠼⣄⠀⠀⠀⠈⠛⠑⡚⠁⠀⠀⠀⠑⠦⢤⠤⣶⠏⡀⠀⠀⠀ ⠀⠀⠠⡖⡥⠋⠀⢇⠑⠤⠀⠀⣠⠌⠀⠀⠀⠀⠀⠀⠈⣷⣠⣞⣈⣆⡀⠀⠀ ⠀⠀⠰⡼⡇⠀⠀⢶⠇⠀⠈⢹⣿⠀⠀⠀⠀⠀⡆⠀⠀⣻⠇⠀⠀⠀⠀⠉⠢ ⠀⠀⠀⠑⠱⣀⡰⠁⡀⠠⠐⠒⠛⠒⠤⣀⠄⢤⠁⠎⣠⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣣⠗⠈⠀⠀⠀⠀⠀⠀⠀⠈⠲⡥⠾⠛⠃⠀⠀⠀⠀⢀⠀⠀⠀ ⠀⠀⠀⠀⡽⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣰⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀ ⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄⣉⣇⠀⠀⠀⠀⢳⡀⠀⠀⠀ ⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠢⢰⡟⡿⠣⣄⣀⣜⠜⠙⠀⠀⠀ ⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⠆⠀⣿⢢⠛⡾⡁⠀⠀⠀⠀⠀ ⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠣⣴⠛⠀⢰⣿⣾⡄⡄⠀⠀⠀⠀⠀⠀ ⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢷⣀⢐⣍⠻⠛⢉⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⣽⣇⠄⠘⢄⠑⢄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡉⠀⠀⠀⠀⠈⠐⠍⠢⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠂⠀⠀⠀⠀⠀⠀⠀⠁⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⠿⠖⠢⢤⣄⣤⡴⢬⣭⣭⣖⣢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡐⠉⠀⠀⣠⣴⣾⠛⣭⡖⣖⣷⣼⠟⢿⣿⣷⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡄⠀⣸⣿⣽⣿⣾⡦⢿⣍⢿⣷⡀⢿⡿⣿⢿⣷⣄⠀⠀⠀⠀⢀⡤⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡀⠀⠀⠸⡄⠘⡄⣯⣽⣿⣿⠿⣿⣾⣹⣿⣿⠷⣤⣿⡞⣯⢸⣿⡳⢤⡴⠚⠁⠀⠀⠀⢀⡰⠊⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠱⡀⢹⣿⣿⣿⡟⠒⠸⢿⣾⣿⣾⠃⢀⢿⣿⣿⣼⣿⣿⡞⠀⠀⠀⠀⢀⣴⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣶⡀⢣⣼⣿⣯⠈⠀⣀⡀⢸⣿⣿⣿⠀⢸⣺⣿⣿⣯⣿⡿⣿⡀⠀⣀⢴⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠤⣄⣹⢷⡾⣿⣿⠿⠂⠉⠁⠀⢸⣿⣿⣿⣞⣿⣿⣿⣷⣿⣿⣇⡇⡏⠉⣠⡟⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡏⣇⠻⣿⣆⣀⠀⠀⠀⠘⠋⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢹⣾⠽⠀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠁⠻⣟⠁⠀⠀⣀⡼⣿⣿⣿⠏⣿⣿⣿⣿⠿⡾⣻⠹⠉⢱⢾⠿⠝⠛⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⢠⠆⠀⠀⠉⠉⠉⠀⠻⠋⠱⠋⠀⢻⡋⠚⠙⠚⠓⠓⠀⠀⠈⣸⠗⠦⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠐⠒⠠⠤⠤⠤⠤⠤⣤⣽⠼⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠁⠀⠀⠀⠀⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⡉⠉⠙⠯⣹⢀⠀⠈⡇⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣗⠲⠒⠒⠒⠒⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣄⠀⣹⢸⠀⣸⠁⠀⠀⠀⠰⠋⠀⠀⠀⣀⠀⢰⠀⠀⠀⠀⣠⠇⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠲⠤⣄⣈⠻⣿⡏⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⠈⠓⡄⠀⠀⡏⢠⣿⠉⠉⠉⠑⠒⠢⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠙⠻⣿⠁⠀⡇⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠁⠀⢰⢃⣸⠋⠒⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⠖⢶⡇⠀⠀⣧⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⡀⠀⢀⡞⣸⣟⡀⠀⠀⠀⠈⠓⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠠⠤⠤⠤⢼⡀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠸⠁⠀⠀⠀⠸⠀⢀⡾⢡⢃⠏⠀⠀⣱⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢢⡀⠀⠠⡖⠊⠉⠀⠀⠀⠀⠀⠀⣰⢧⠀⢀⢏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⢠⠏⣸⠒⠒⠤⠤⠄⠉⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⠿⠦⠽⠋⠀⠀⠀⢀⣠⠴⠚⢁⣊⡷⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣇⠉⡴⠛⠢⠤⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⠤⠤⠒⣒⣉⣁⣀⣀⣴⠟⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡙⡿⣍⡑⠢⣀⠀⠀⠈⠑⠢⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⡤⠔⠚⠉⠁⠀⠀⢀⣠⣞⠵⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠉⠒⢌⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⣏⠓⢢⡀⠀⠀⢀⠴⣫⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢶⣖⣾⣶⣤⣀⠉⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠳⣄⢧⣠⠔⢁⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡕⠛⠾⢽⣦⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠼⠛⠁⠀⡾⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠙⢧⠀⠈⢢⡀⠀⠀⠀⠀⠀ ⠀⠀⣰⠃⢠⡞⢁⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⡀⠀⠈⢣⡀⠀⠳⡀⠀⠀⢀⣤ ⠀⡼⠁⣠⡟⢀⡾⡟⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⢸⣿⣦⡀⠀⠀⠑⣄⠀⣱⣴⣾⣿⣿ ⠞⠀⠀⠉⢠⠎⡇⡇⣏⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⣆⢸⢧⠉⠳⣷⣄⠀⠘⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢠⣏⣠⣿⢿⣾⣌⢦⡀⠀⠀⠀⠀⡀⠀⠀⠀⡼⠛⠹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠈⡠⡜⢿⡆⠀⢸⡾⢣⠀⠈⢻⣿⣿⣿⣿ ⠀⠀⠀⡿⠟⠀⠀⠀⠈⠻⣧⣝⠀⠀⠀⠀⠈⠉⠀⣯⡼⣽⡄⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣼⣽⡮⠷⠤⣼⣽⡉⠃⠀⠀⠹⣿⣿⣿ ⠀⠀⠀⠃⠀⠀⠀⠀⠈⠳⣽⣦⡙⠒⠤⠤⠤⣤⣴⡟⡇⠀⣿⣮⢆⡀⠀⠀⠀⠀⠀⠀⢀⡴⣿⡿⠋⠀⠀⠀⠈⢿⡇⠀⠀⠀⠀⠙⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⢿⡲⢄⣀⢠⣿⣿⠿⠦⠤⢽⣷⣀⠉⠓⠒⢦⠤⠖⠊⡡⠞⠛⠀⠀⠀⠀⠀⠀⠈⢻⠀⠀⠀⠀⠀⠘⣟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠒⡛⣛⡛⠋⠒⠀⠀⠀⠀⠀⠀⠉⠛⠶⠤⡼⠗⠚⢛⢛⠓⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡗⠦⣄⣠⠤⡦⢤⣞⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣦⠞⣻⠀⢱⣄⡈⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠ ⠀⠀⠉⠒⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢰⣿⣧⣀⣿⠿⡎⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀ ⡀⠀⠀⠀⠀⠈⠑⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣷⣏⢈⠻⠛⠙⢄⢹⣶⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠂⠁⠀⠀⠀⠀ ⠙⢄⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢿⣻⠷⣶⠶⠊⣇⣼⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⠋⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠑⢤⣀⠀⠀⣠⠞⢆⠀⠈⠲⢄⠀⠀⠀⢀⡴⠿⠟⠛⠿⢷⠀⠾⠛⠛⠛⢲⠽⡄⠀⠀⠀⠀⢀⠴⠋⠀⢰⣆⠀⠀⠀⠀⠀⡀⠀⠀ ⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠑⢆⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠆⢀⡠⠊⠁⠀⠀⠀⠀⠙⠓⢦⡴⠒⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⢀⠴⠀⠢⣀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣱⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢤⠒⠋⠁⠀⠀⠀⠀⠉⠙⣲⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⣀⠤⠤⠄⣀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠬⡅⠀⡇⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⢰⣿⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣬⣿⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠦⡀⠀⠀⠀⠀⠀⠀⢀⣠⠶⠿⣄⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠤⠤⠤⢤⡴⠎⠀⠀⠀⠀⠱⣦⣀⣀⡀⠤⠔⠚⢿⣼⣯⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠁⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⢉⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠉⠀⠀⠀⠀⢀⡤⠒⣁⣀⢀⣤⠤⠞⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⠀⠀⠀⠀⠀⠈⢉⡡⠞⠉⠀⠉⠙⠒⠢⢄⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡰⠋⠀⠀⠀⡠⠚⠉⢉⣭⠽⠯⢖⡲⢶⣤⣄⠀⠀⠈⢧⠀⠀⠀⠀⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⣼⣥⣤⡾⠇⠀⢀⣠⡤⠨⠶⡅⠻⡷⡀⠀⠘⡆⠀⠀⠀⠀⠈⣾⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠋⠀⠀⠀⠀⢰⠋⣴⢯⢀⣤⣶⣯⢹⣶⠀⡀⡚⠢⡽⣧⠀⠀⠹⣄⡤⠖⠒⠈⠙⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣸⠃⠀⠀⠀⠀⢀⡟⠀⢸⣿⢸⡯⢷⣿⡼⣿⣸⢠⡏⠑⢿⣛⠳⣦⠜⠁⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣴⠃⠀⢀⣀⣀⣀⡞⠀⡶⡞⠋⠛⠃⠀⠀⠀⡿⢿⠀⢳⡀⠀⠉⠻⣁⠀⠀⠀⠀⢀⡜⡉⠉⠉⠉⠉⠉⠉⠓⠒⢤⠀⠀⠀⠀⠀ ⣿⣿⠀⠀⠀⠀⠀⠉⠓⠦⣧⡿⣄⣀⣤⣤⣄⣀⣱⠀⣇⡌⢟⢦⡀⠀⠀⠙⠢⢄⣠⢋⣀⣸⡄⠀⠀⠀⠀⠀⠀⢠⡾⠀⠀⠀⠀⠀ ⠉⠛⢆⡀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠉⠉⠙⠚⢹⣷⠈⢫⡛⢦⡀⠀⠀⠀⠈⠑⠶⢴⣧⡀⠀⣀⣠⠴⠊⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠟⠁⣷⡄⠱⣄⠈⠓⠤⣀⡀⠀⠀⠀⠀⠉⠛⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠒⠤⣀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠹⠶⠾⢿⡇⢸⡗⠽⢦⣤⣀⠉⠓⠒⠤⠤⣀⣀⡀⠀⠉⠲⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡀⠀⠀⠀⠀⡸⢛⡄⠀⠀⠀⠀⠀⠀⠈⢷⡤⠖⢋⣠⡿⡇⠀⠀⠀⠀⠙⠢⣄⡀⠀⠀⠀⠈⢉⣭⣣⠟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢮⣴⣶⣚⡡⠋⢻⢦⡀⠀⠀⠀⠀⠀⠀⠉⠉⢉⡼⠃⠀⠀⠀⠀⠀⠀⠀⠈⢳⡒⢲⡒⢺⢾⣛⡢⢤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣤⣴⢚⢀⠟⠁⠀⢸⡄⠑⢦⣀⠀⠀⠀⠀⣀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⣇⢘⣿⠇⠈⢢⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⠁⣮⠏⠀⠀⠀⡇⢱⡄⠀⠈⢀⢤⣀⡰⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣷⠾⠓⠚⠛⠛⠒⠲⠤⣀⠀⠀ ⠀⠀⠀⠀⣿⢸⢿⠀⠀⠀⠀⠘⣼⠷⠀⠀⠀⠁⠈⣏⡿⡄⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⡷⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲ ⠀⠀⠀⠀⠈⠻⠼⣄⠀⠀⢀⡜⠁⠀⠀⠀⢀⣀⡠⠹⠾⢤⣀⡀⢀⠀⠀⠀⡀⢠⠃⢀⡎⠀⢘⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢶⢤⠟⠀⢀⡠⠖⠊⠉⠀⠀⠀⠀⠀⠀⠉⠓⢭⡙⠪⣡⠏⢢⢈⣂⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠏⣸⡤⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢏⣁⡠⢶⢛⠓⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢴⣷⡽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣧⠄⢨⠁⡀⠀⠀⠀⠀⠀⠀⠀⣀⠔⠊⠉⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠀⢁⣈⡆⠀⠀⠀⠀⠀⠀⠀⢴⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⢹⠉⢳⡀⠀⠀⠀⠀⠀⠀⢸⢱⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠁⣸⣶⣸⢷⡐⠰⠀⠀⠀⠀⡸⢸⣳⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢄⠀⠙⠤⠀⡿⡋⢧⢟⠻⢤⣀⠀⢀⡠⣣⠟⠁⠙⠢⠀⠀⠀⠀ ⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠑⣀⠀⣸⠃⠁⣼⢰⣕⢒⡛⣏⣫⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠊⣰⠇⠀⠀⢹⠿⢸⠈⠀⠹⡷⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢝⣩⣡⠾⠹⠀⠀⢈⢿⣽⡮⡇⠀⢀⡇⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣏⡀⠀⠀⢸⢻⣿⣿⣏⣧⡿⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⢳⡄⡆⢨⢲⡇⢸⠛⠛⠦⣈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣯⣿⡍⠙⢸⡎⠀⠀⣀⣿⠀⠑⢄⡀⠀⠀⠀⠀⠀⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡿⠃⢸⣼⠷⠚⠋⠀⠀⠉⠢⣄⠙⠳⣄⠀⠀⠀⠀ ⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡏⠀⠈⡏⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣈⠙⠦⣄⡀ ⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⡄⠀⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀
⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⡌⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣧⡀⠀⠀⠀⠂⢿⡈⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⣿⢿⣆⠀⠀⠀⢸⡇⣀⣹⣷⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠻⣷⡀⣠⣼⣿⣿⣿⣿⠟⢻⣿⣿⣿⣻⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⣸⡿⠋⢾⣿⣿⣿⠟⠀⠀⢡⡼⣿⢿⣿⣿⣿⣷⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⣧⣸⡿⠅⠀⠰⢿⣿⣿⣟⣡⡀⢸⣶⣿⣇⠹⠿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢦⣄⠀⣿⡏⠉⠁⠀⠀⣠⣿⠻⣿⣿⣷⡼⠟⠋⠁⡴⠛⠺⣿⣻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠉⣿⣧⣴⣀⢀⣤⣼⡿⠄⣙⣋⣁⠀⠀⠀⠰⣃⣠⠖⢹⡟⣾⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠿⠿⠖⢿⣿⡇⠀⡴⠋⠁⠀⢈⣱⡄⠀⠀⠻⠿⠓⢻⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠈⣿⣷⢸⡥⣴⣶⣿⣁⡴⠟⠀⢀⣀⠀⠀⣼⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣤⠀⠀⣤⠀⠀⠀⢻⣶⣶⣶⣾⣿⣟⠓⠛⠋⠉⠁⠀⠀⠰⠋⠉⣠⣾⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⠀⠀⠉⠀⠀⠀⠘⣆⠀⠀⠀⠸⣿⣦⠀⠀⠀⠀⣀⣀⣤⠴⢚⣻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢤⣾⣦⣘⣦⣤⣤⣤⣽⣿⣷⣶⡿⠛⠇⠀⠷⠃⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⣀⣨⣿⣿⠟⢿⣋⡉⠉⢃⠀⠀⠀⠀⢀⠀⢸⡆⡄⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠓⠦⣤⣿⣧⡀⢸⠀⠀⠐⣂⠺⡀⢸⠛⣧⡄⢸⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠉⢧⠀⡄⡇⠀⠀⠀⡇⢸⠞⣋⢍⠉⠛⠷⣿⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠢⡀⠀⠀⢄⠀⠀⠀⠀⢀⣠⠬⢧⡀⠳⣷⣃⣀⣀⠀⢣⢸⢸⣁⠀⠙⠒⠲⡌⢻⣯⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣘⢦⣀⠀⠁⠀⣠⡔⠉⠀⠀⢀⡼⠋⠀⠀⠀⠈⠑⢼⣿⣀⠈⢉⣓⣦⠤⠗⢨⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡼⠁⠀⠈⠳⣄⠉⠁⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⠟⠁⠀⠈⢣⠀⢈⣟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⠁⠀⠀⢀⡆⠈⠑⢆⡀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⢠⡀⠀⠀⠘⡄⠀⠀⠈⠉⠉⠓⢤⠀ ⠀⠀⠀⢠⠇⠀⠀⠀⣞⠀⠀⠀⠀⠙⢦⡄⠀⠂⠐⡀⠀⠀⠀⡤⠊⠁⠀⠀⠀⢇⠀⠀⠀⢻⠒⠖⠈⠉⠲⣤⡞⠇ ⠀⠀⠀⡼⠀⠀⢠⣸⣿⣦⡀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⡀⣠⣾⡄⠀⠀⠘⡇⢀⣇⣅⣀⡾⠂⠀ ⠀⠀⣰⠃⠀⠀⢴⡟⡟⠋⣽⡿⡄⠀⠀⠀⠛⠦⡄⠀⠀⠀⠀⠀⢠⣤⡮⢿⣿⣿⣷⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀ ⣴⠋⠀⠀⠀⠀⣿⠀⠸⡔⣌⡼⣟⢦⡀⠀⠀⠀⢱⡀⠀⠀⠀⠀⣯⠿⡃⠀⣹⡿⠛⡆⠀⠀⠘⠳⣄⠀⠀⠀⠀⠀ ⠈⠉⠓⠒⠒⠶⠃⠀⠀⠓⠾⠷⠋⠀⠉⠙⠓⠛⠋⠉⠓⠒⠒⠚⣈⣗⣡⠞⠋⠀⠀⠇⣀⣂⣀⣠⡬⠇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣶⣿⣷⠦⠀⠀⠀⠀⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠾⠋⠉⠁⢚⣽⣿⣿⣶⣄⡀⠀⠀⠀⠈⢇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡋⡥⠄⠀⢀⣞⣽⡿⣷⠞⠋⠉⠙⣧⡀⠀⠀⠈⣦⣷⣶⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⡍⠁⠀⠀⠀⢘⣿⣿⣾⠃⠀⠀⣰⡶⠀⣿⣄⢀⣾⠟⢩⡿⣷⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⣾⢳⠇⠄⠀⠀⠀⣾⣿⣿⠃⠀⠀⣰⠏⢀⣸⣿⡏⠙⡇⠀⠈⣴⢿⣷⣷⠖ ⠀⠀⠀⠀⠀⠘⣆⠀⠀⠈⡆⠀⠀⠀⠀⠀⢰⣿⣾⢀⢀⠀⠀⢸⣿⣿⡏⠀⠀⢰⣿⣾⣿⣿⣿⡇⣄⠃⠀⠀⠀⣼⡿⠃⠀ ⠀⠀⠀⠀⢦⠀⠹⣇⠀⠀⢿⠀⠀⡇⠀⠀⡼⠘⡟⢸⢾⣆⣇⣿⣿⣿⠀⠀⠀⣼⣿⣿⡿⣯⣹⢳⢸⡄⣀⣠⣤⠏⠀⠀⠀ ⠀⠀⠀⠀⠈⠱⣄⠘⢦⠀⣾⣧⢠⠇⠀⢰⣇⢠⣇⢸⠀⠃⠋⢻⢿⣷⣀⠀⢸⣿⢿⣿⡿⣿⣿⢸⠘⡇⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⢳⣄⠈⠳⡈⢳⣼⡈⢿⣤⣴⡟⣘⣾⢘⣿⣿⣆⡀⣿⣏⢹⢿⣦⣼⣿⡎⠁⠸⣿⣿⡼⠀⡇⠀⠀⢹⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢢⣀⣸⢿⠀⠃⢘⣸⣿⣾⣻⣿⣾⡿⠛⢿⣿⣿⡟⣇⢼⠙⢿⣧⡿⠀⢠⣾⣿⡇⠀⡇⠀⠀⠘⣟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢿⡀⠀⢠⠞⠁⠀⠀⠈⠉⢉⣩⣷⢦⣄⣹⣿⣷⣸⡮⠷⠚⠻⢷⣴⣿⣿⣿⡇⣼⠃⠀⠀⠀⢹⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢧⢠⠇⠀⠀⠀⠀⢠⢚⡿⣻⡿⡀⠀⠉⠛⠉⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⠧⣿⣄⣀⠀⠀⠀⣷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠈⠛⡾⡇⡇⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠱⢦⡀⠈⠙⢶⣀⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⢇⡄⠀⠀⠀⠀⢸⡀⠳⡇⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣶⡀⡀⢱⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⢷⠀⠀⠀⠀⠀⣧⠀⠀⠀⣼⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣘⣧⣧⡾⠛⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⣏⠙⠄⠀⠀⡞⠉⠀⡆⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠉⣱⣿⡏⠉⠀⠀⠀⠀⠀⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠻⡄⠀⠀⢠⠇⠀⠀⡇⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠙⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢇⠀⠀⢳⠀⠀⣸⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⡆⠀⠈⣇⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣆⡔⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⢤⣾⣿⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠝⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡷⡂⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⢠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⢇⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⢻⣀⣠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠈⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⢈⣿⢻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠻⡄⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⢀⡴⠋⠘⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢔⡿⠴⠂⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠙⢾⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣠⠤⠬⠶⠤⠤⢤⣤⡼⠋⠀⠀⠀⢘⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠃⠀⠀⠀⠀⠀⠀⡈⢻⡻⠶⠞⠓⠒⠒⠤⠤⠀ ⠊⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⢠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⢳⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡼⡝⠀⠀⠀⠀⠀⠀⠈⣆⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢱⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠑⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⢿⡋⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣷⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡆ ⠀⠀⠀⠀⡿⠛⠓⣕⢆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⠴⠋⠙⠇ ⠀⠀⠀⠸⠀⠀⠀⠈⠳⢍⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡷⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⢔⠪⠚⠁⠀⠀⠀⠀ ⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠑⠺⠷⠦⠀⠀⠀⠀⠀⠀⣐⣴⣿⣟⢻⣶⣬⣙⡀⠀⠀⠀⠐⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡈⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠶⠞⢛⡒⠶⢾⢿⠟⡛⠛⠋⠉⡙⠛⡛⠛⠿⣯⣍⠛⢛⠓⠦⣤⣀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠉⠉⠀⠐⠇⠈⠋⠉⠉⠉⠛⢀⡈⠃⠉⠐⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⣿⣿⣾⣿⣿⣿⣿⣷⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣠⣀⣀⡀⢠⣶⡄⠀⠠⢼⡦⢹⣷⡀⠄⠠⠷⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠀⠈⣷⡉⢹⣿⡀⡆⢸⣷⠀⢿⣧⠀⠠⣤⠈⢲⣿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⡿⣿⣿⣿⣿⣿⣷⠀⠀⢻⣿⡀⢻⣷⠀⠘⣿⣆⢸⣿⣦⠀⢻⣧⣸⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣼⣿⡿⣿⣿⣿⣿⣿⣿⣿⠈⡀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣣⣾⡿⣰⣿⣿⡇⢹⣿⣿⣧⡀⠈⣿⣧⢸⣿⣷⡀⢸⣿⡈⢿⣿⣴⣷⣿⡟⣿⣿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⣿⣿⣿⣿⡇⠘⣿⣿⣿⣿⣿⠿⣦⢷⣄⣼⣿⣿⣿⣿⣿⣿⠿⠋⠿⠿⠋⠸⣿⣿⣿⡇⠀⢿⣿⣿⣷⡸⣿⣿⣿⣿⣿⣷⢾⣿⣷⢸⣿⡄⣿⣿⡇⢿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⣿⣿⣿⡇⠀⠈⠻⣿⣿⠋⠀⠈⠓⠶⠾⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀⠸⣿⣿⣿⡷⡶⠚⢿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠴⠟⣿⣿⣿⣿⣿⣿⣿⣼⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⣿⠃⠀⠀⠋⣿⢈⣷⣀⣀⡀⠀⠀⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⢀⣴⠿⣿⣿⣧⠁⠀⠈⢻⣽⣞⣿⣿⠻⢿⣿⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⣿⣿⠀⣠⡾⠋⠉⠉⠉⠉⠉⠉⠙⢦⣸⣿⣿⠀⠀⠀⠀⠀⢀⣰⠟⠁⣶⠟⠉⠻⢀⠀⠀⠀⠹⢿⣌⣿⠀⠀⠹⣏⣠⠾⣿⣿⣿⣿⣿⣿⣿⡿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡟⣟⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⠀⠀⢀⣀⣵⠟⠁⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠈⠁⠀⠻⣿⣿⣿⣿⣿⣿⢃⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⠶⠼⠿⢷⣀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⡇⠿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠉⠳⣤⡀⠀⠘⢷⠒⠀⠀⠀⠀⠀⠈⠁⠀⠀⣠⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢤⡀⠀⠀⠙⠷⣤⡸⣦⠀⠀⠀⠀⠀⢀⣠⠖⠋⠁⠀⠀⠀⠀⠀⠀⠸⣿⣋⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠰⢦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣄⡀⠀⠀⠙⠻⣤⣤⡤⢒⣻⣿⣿⡄⠀⠀⡀⠀⠀⠀⠀⠀⢀⡟⠉⢹⣓⣲⠀⠀⠀⠀⣠⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠶⣄⣠⣴⣾⣿⣿⣿⣿⣟⣁⣀⣀⣀⣀⣀⣀⣀⣀⡴⠋⠀⠀⠀⠉⠙⢶⣄⠀⠀⠹⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⡃⠀⠀⠀⠀ ⢀⠀⠀⠀⠀⠀⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣶⣤⠀⠀ ⣼⠀⠀⠀⠀⠀⣿⡟⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠲⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡤⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀ ⣿⡀⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⢤⣀⣀⣀⣠⣤⣴⠶⠞⠛⠉⢡⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇ ⢻⡇⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⣐⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠈⣿⣀⣀⣀⠀⣺⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢛⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠚⠃⠀⠀⠈⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⣉⢙⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢦⣀⣀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢰⡎⣧⢻⡌⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿ ⣤⣶⣦⣼⣿⡸⣎⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠃⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠟⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡿⣛⣿⣿⣿⣿⣿⣿⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁ ⣟⢸⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣇⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀ ⣿⣎⣿⠿⣻⢉⡽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀ ⣏⣿⡏⣀⣫⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀ ⣿⠃⠁⣼⠁⠀⠀⠀⠀⠀⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⢡⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡀⠀⠀⢠⣤⣤⣤⣴⣿⡻⠍⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀ ⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣱⣄⠀⠀⠀⣴⣯⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀ ⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠲⠼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⠿⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⠿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠈⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣦⣝⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠖⠒⠠⠬⠟⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⣿⣯⣻⢿⣟⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣶⣝⢳⣬⡻⣿⣿⣿⣿⣿⣿⣿⣿⠈⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⢿⣿⣿⣮⣻⣿⣿⣿⣿⣿⣿⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣻⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣽⠁⠀⠀⠀⠀⢸⡇⣀⠀⠀⠀⠀⠀⠀⠀ ⠉⠉⠉⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⠋⠀⠀⠀⠀⠀⣼⡿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠶⠦⢄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡀⠀⠀⠀⣠⠞⢁⣀⡤⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠲⠤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣤⣤⣾⣿⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣶⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣷⣶⠶⠒⠋⠉⠉⠉⠉⠀⠈⠉⠉⠉⠁⠒⠂⠀⠠⣄⡀⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣿⡟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀⠀⠀⠀⢀⠀⠀⠀⠀
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⣧⠀⣾⣿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣧⠀⢻⡸⣿⣧⠹⡄⢹⣿⡀⢻⡄⢁⢻⣄⠹⡄⠀⠹⣟⢷⡀⠙⣿⣿⣿⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀ ⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡼⣿⣿⡉⢧⠀⠀⠘⣆⠀⢧⣿⢹⠙⢿⡶⣿⣷⠼⣷⠤⣤⠽⣷⣧⠤⠤⣸⣎⣇⠀⠈⢿⣿⣧⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠈⢻⡜⢿⣷⡌⢧⠀⠀⠹⣆⠘⣾⣾⡇⠀⢧⢹⣿⣆⣿⠿⠟⠲⠿⣿⣤⣤⣤⣽⣿⣀⡀⢈⣿⣿⠀⣿⡇⣿⣽⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⠻⡞⣧⢤⠀⠹⡈⠿⣷⡘⣧⠀⠘⣿⡄⢹⣹⠃⠀⠘⠜⠋⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣇⣼⣷⠉⠀⣿⣿⣿⣿⣿⣿⣿⣯⡻⡄ ⣿⣿⣿⣿⣿⣿⡿⠛⠁⠘⣿⢧⢻⣼⣿⡆⡀⠀⠀⠚⣷⣈⣇⠤⠞⠛⠞⠙⠃⠀⠀⠀⠀⠀⠀⢉⡿⠋⠀⠀⢀⣀⣀⡈⠉⠙⠛⠻⢿⣿⣿⣿⣿⣄⣀⣿⢿⣿⣿⣿⣿⣿⣿⣿⣾ ⣿⣿⣿⣿⣿⠛⠀⠀⠀⠀⠘⡏⢿⣿⡈⢧⣿⡄⢀⣤⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⠀⠀⣾⣧⣨⣿⣿⣿⣷⣦⡀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣟⢮ ⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⣹⡏⠙⣧⠀⠻⣏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢨⣽⣿⢿⡟⠉⠻⣶⣿⣿⡄⠀⠀⠀⣿⡏⢿⣿⣾⣿⣿⣿⣯⣿⣷⣝⢿⣿ ⣿⣿⣽⢿⣆⠀⠀⢀⠀⣠⣾⠿⣿⣄⠈⠳⢄⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣏⠀⠀⠠⠀⢀⣿⣿⣿⡇⠀⠀⠀⢿⣳⡈⢿⣿⣿⣿⣿⣿⡻⣿⣿⣷⣝ ⡿⣿⡀⠈⢿⣆⠀⢈⣷⢏⡤⠖⠒⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣷⣶⡶⠶⣟⣉⣉⣁⣀⣀⣤⡀⠺⡇⠳⢾⣿⣿⣿⣿⣿⣿⣮⠻⣿⣿ ⣷⢹⣿⡀⠀⠻⣶⣿⡷⠋⣠⣴⣯⣤⣔⣊⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣭⠷⠓⠚⠉⠉⠉⣽⠿⢭⣍⣉⠑⠋⢻⣦⣄⣸⣿⣿⣿⣿⣿⣿⣷⣜⠻ ⢻⣧⠹⣆⢠⣾⠟⠉⣠⣾⣿⣿⣿⠟⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣠⣴⣤⣉⡉⠉⠉⠉⠉⠉⠉⠻⣿⣿⣿⣿⣿⣿⣿ ⣧⠹⣦⠸⢿⠏⢠⣾⣿⣿⡿⠋⠀⣠⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣷⣶⣶⡶⠟⠛⠛⢿⣿⣿⣿ ⣿⣦⠙⢧⡀⣤⣿⣿⣿⠋⣴⣿⣷⣿⡿⢿⣛⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠷⣼⣿⣟⣛⣛⣃⣀⣀⣀⣤⣤⣶⠿⠻⣿ ⣝⢿⣷⡀⢳⣿⣿⡿⠃⣼⣻⣿⠿⢿⡀⠀⣿⣿⣿⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⠟⠍⡛⣳⣾ ⣙⣷⣬⠿⣾⣿⣿⠁⠐⣧⣼⡇⠀⠈⠁⣴⠿⣻⣽⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⢹⣿⡿⠁⢀⣴⣾⣿⣯ ⣿⠋⠉⢠⣿⣿⡏⠀⠀⣿⣿⣿⣶⣶⠞⣡⡾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡟⣫⣠⣴⣿⣿⣿⣿⢿ ⣿⣤⠔⢻⣿⣿⡇⠀⠀⠘⢿⣿⠋⣏⡼⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⣹⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⣇⢛⢦⣾⣿⣿⣷⣄⠀⠀⠀⣨⠶⠋⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠤⠀⠀⠀⣀⣤⣾⣭⣉⣛⢿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠈⡿⢿⣿⣿⣻⣋⣭⢤⣤ ⣿⣧⣾⣿⣏⠀⠀⠀⠀⡄⢰⣿⣀⠄⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣔⣋⣀⣠⣤⢴⣾⣿⠟⠋⠉⠉⠛⠿⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠈⢻⡄⠀⠀⣤⢀⡾ ⣿⣿⣽⢿⡿⣿⣦⣀⠀⠳⠟⠋⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠛⣡⡼⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⣿⣤⣤⣬⡞⠁ ⢿⣿⣿⣿⣿⣦⡈⠉⠙⠛⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣣⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⢠⣿⣶⠶⣶⣾⡏⣤⣼⠏⠀⠀ ⠳⣽⣿⣿⢿⣿⣿⣦⣀⠀⠀⠀⢀⣼⠟⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣷⣿⣿⠃⠀⠀⠀ ⠀⠈⠛⢿⣽⠙⣿⣶⣟⣷⣤⣴⣿⣫⣾⣿⠏⠀⠀⠀⢀⣶⣿⣷⡄⠀⠀⠀⠀⠀⠈⠷⣄⣀⡀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠿⠿⠿⠿⢿⣿⣿⡏⠀⠀⠀⠀ ⣿⣶⣶⣤⣽⣿⣿⣿⣿⠋⠃⠀⠉⣹⡿⠃⠀⠀⠀⣠⣾⡿⣡⢿⣧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠙⠒⢤⣩⠀⠀⠀⠀⠀⠀⠀⠀⡴⢿⣇⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣅⠀⢀⣠⣾⣿⡙⠲⢤⣤⡾⠋⠀⠀⠁⣼⣿⣽⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠂⠀⠀⠀⠀⠀⢠⡞⠀⣼⢏⣽⣦⣀⠀⣠⠞⠃⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠻⠿⣿⣷⡾⠛⠀⠀⠀⣠⣾⠃⠛⣸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣋⣴⢋⣱⡾⣽⣯⡿⠿⣄⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣴⣿⣯⣌⣄⣀⡾⣿⠃⠀⠀⢳⠷⢴⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣭⣶⣿⠟⠀⢰⡟⣞⠉⢳⠱⣄⠀⠀⠀⠀⠀ ⣿⠟⠁⠀⢸⣿⣿⣿⣿⣿⡆⠀⢀⣾⣿⣿⣿⣿⣿⠟⣰⣿⠀⠀⠠⣾⠀⣿⣿⢿⣏⠉⠉⠉⠉⠙⠓⠒⠒⠒⠒⠒⣹⣽⣿⣿⣿⣿⣿⡟⠋⣠⡶⣛⣯⠼⠀⠀⡇⢹⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⣿⣿⣿⣿⡿⠻⠦⠟⠻⣿⣿⣿⣿⠋⣰⣿⣿⣤⣤⣴⡇⢰⣏⣽⣿⠿⠤⠤⠤⠤⠴⠶⠦⠤⠶⠾⠽⣷⣿⣿⣿⣽⣿⣿⣷⣼⠫⣏⣁⣀⣀⡤⠤⠧⢈⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⡟⡰⢊⠑⢀⢐⠘⣿⡿⠃⣴⣿⣿⣿⣿⠿⠟⠓⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠙⠒⠛⠛⠓⠒⠚⠉⠉⠉⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⢿⡛⠫⢽⣖⠒⠲⢤⠾⠁⢀⠀⠀⠀⠀⠀⠀⠀⢀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠇⠀⠀⠀⠀⠀⠀⣠⠔⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠶⢦⣄⡀⠀⠉⠓⢦⡈⠉⠑⠲⣤⡀⠉⠓⠲⣤⣀⠀⠀⢀⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢙⣶⡄⠀⠀⠈⠲⣄⠀⠀⠙⠦⣀⠉⠳⣍⢓⢦⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠟⠁⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠹⣟⢮⡳⡀⠀⠀⠈⠳⡄⠀⠀⠘⢧⡀⠈⠛⠳⡈⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⣠⣾⠟⠁⠐⠁⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣇⠀⠀⠀⠀⠀⠀⠈⠻⣽⣿⣄⠀⠀⠀⠘⠂⠀⠀⠀⠙⢦⠀⠀⢘⠂⠀⠙⢄⡀⠀⠀⠀⠀⠀⠀ ⣠⣴⠆⠀⠀⠀⢀⣠⢾⠟⢁⠄⠀⠀⢠⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠘⢆⠀⠀⠀⠀⠀⠀⢢⡘⢮⣻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠈⠓⣄⢰⠀⠱⣄⠀⠀⠀⠀⠀ ⠛⠁⠀⢀⣠⠴⠋⣰⠏⡴⠃⠀⠀⢰⠋⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠈⢧⠀⠀⠀⠀⠀⠀⠹⣄⠳⣽⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀⠈⠻⣇⠀⠙⣦⡀⠀⠀⠀ ⠀⠈⠻⠯⠤⠤⡞⢁⡞⠁⠀⠀⠀⡏⠀⠀⣿⡄⠀⠀⠀⢶⣀⠀⣆⡀⠀⢀⠃⠐⠒⠀⠳⡄⠀⡀⢀⣀⣀⣈⣳⡘⢾⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣦⣀⠀⠈⠀⠀⡇⢳⡄⠀⠀ ⠀⠀⠀⠀⠀⡼⢡⡞⠀⠀⠀⠀⣸⠁⠀⢰⡇⣇⠀⠀⠀⠠⠙⠿⣮⡷⢤⣼⠤⠤⠤⠤⠖⠛⢿⣻⡻⣄⡀⠀⠀⠉⢿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢻⠟⠦⣄⠀⠳⣄⠻⣄⠀ ⠀⠀⠀⠀⡸⢁⡎⠀⠀⠀⡤⠀⡟⠀⠀⣸⠁⣼⡆⠀⠀⠀⠀⠀⢸⡀⠀⣟⣀⡀⠀⠀⠀⣀⣀⣙⣷⣀⡙⣦⣄⠀⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠀⠀⠘⢆⠀⠈⠃⠹⣄ ⠀⠀⠀⠠⠃⡾⠀⠀⠀⣸⠁⠀⡇⠀⠀⡏⢸⠃⢹⡀⠀⠀⠀⠀⠈⣇⢰⠏⠀⠈⡹⠋⠉⢉⣿⢉⣉⣽⣯⣭⣭⣭⣶⣤⣹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠘⣾⡆⠀⠀⠀⠀⠀⠀⠀⠘ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⢸⡇⠀⠀⣧⡿⠐⠲⢷⡀⢳⡄⠀⠀⢹⡜⠀⠀⠀⠀⣖⣿⣿⡿⢟⣻⢏⡽⠉⠉⠉⠛⣿⣾⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⢷⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⢠⣾⢷⠀⣧⡟⠁⠀⠀⠀⠱⡄⡟⢦⡀⠀⢷⡀⠀⠀⠸⢋⡟⠳⠶⠶⠒⠋⢀⣀⡠⣴⣴⣿⡋⣹⠀⠀⣤⠀⢰⠀⠀⠀⠀⢸⣼⡏⠉⠂⠀⠀⠀⠀⠀ ⠀⠒⠂⠀⠀⠀⠀⢰⠁⠀⢸⡇⣨⡟⣧⡇⢀⣴⣂⡀⠀⠙⢾⡀⠘⠲⢌⣧⠀⠀⠀⠈⠀⠀⣀⣠⢴⣺⡭⢖⣿⡿⢇⣀⡽⢿⠀⠀⢻⠀⠈⡄⠀⠀⠀⠈⡟⣧⠀⠀⠈⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⣾⡿⠁⠹⣜⣶⠋⠁⢀⡄⠀⠀⠘⡿⡀⠀⣠⢝⣹⣤⠒⡤⣶⠯⠟⢿⣯⡥⠖⠛⠉⠛⠉⠉⠀⠘⡆⠀⢸⠀⠀⡇⠀⠀⠀⠀⢃⡿⢷⡄⠀⠀⠀⡀⠀ ⠀⠀⠁⠀⠀⠀⠀⢸⡆⠀⣿⠁⠀⣠⢛⣾⣶⡶⡿⣿⣥⡀⠀⡧⣁⣼⡷⣫⠆⠀⢀⡴⣯⣝⣻⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢸⠀⠀⠀⠀⠀⠀⠀⢸⠿⠋⠀⠀⠢⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡾⡇⢠⡟⢀⣾⣷⢿⣟⣣⠶⠚⠁⠀⣠⣼⠟⠉⠡⠞⠁⠀⠐⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⣿⠀⠀⠀⠀⠀⠀⠀⢸⢸⡾⠋⠁⠀⢱⡀⢀ ⠀⠀⠀⠀⠀⠀⠀⡧⣷⠘⡇⢘⣾⡏⠀⠀⢀⡠⣤⠞⢻⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢸⣻⠀⠀⠀⠀⠀⠀⠀⢸⢸⠃⠀⠀⠀⠀⢳⠀ ⠀⠀⢸⠀⠀⣤⠀⢿⣿⣧⢳⠀⣿⣧⣤⣺⠽⣛⡥⠾⠋⠋⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠸⠀⡼⣿⠀⠀⠀⠀⠀⠀⠀⠸⠸⣆⠀⠀⠀⠀⠈⠇ ⠀⠀⠈⠀⢰⡘⡇⠈⣿⣯⠻⣤⠉⠛⢛⡥⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣸⠃⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀⡟⠓⠄⠀⠀⢠⠀ ⠀⠀⠀⠀⢸⢣⢱⡀⢻⣹⡆⣿⣠⣶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢧⡇⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⢠⠎⠀ ⠀⠀⠀⠀⠸⠀⢣⣷⡸⡇⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡴⠖⠋⠉⢙⣲⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣯⡞⠀⠀⣿⡇⠀⠀⠀⠀⠀⡄⠀⢸⣿⣠⠆⢠⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢿⣷⣽⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣛⢛⣉⣠⣤⣶⣾⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⣸⠏⠀⠀⠀⣿⡇⠀⠀⠀⠀⢠⠀⠀⢸⠟⠁⣰⣿⣇⡠⡀ ⠀⠀⠀⠀⠀⣆⠀⠈⡇⠙⠆⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣭⣝⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢧⡀⠀⠀⠀⠁⠀⠀⠀⠀⣿⠃⠀⠀⠀⠀⢸⠀⠀⣯⣠⣾⣿⣿⣿⠞⠀ ⠀⠀⠀⠀⠄⣿⠀⠀⢻⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⢋⠀⢰⠛⢳⡀⠀⠀⠀⠀⢀⣀⣼⣿⠀⢀⠀⠀⠀⡟⠀⢐⣿⣿⣿⣿⡿⠁⠀⠀ ⠀⠈⠠⠀⠀⢸⡀⠀⢸⡇⠀⠀⠻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⢰⠗⠁⠀⢸⡄⠀⣧⠀⠀⠀⠀⠀⠉⢸⣾⠀⡾⠀⠀⢸⠇⠀⢸⣿⣿⣿⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⡇⠀⠀⢣⠀⠀⠸⡹⣄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⢹⡄⠀⠀⠠⣿⣶⣿⠳⣄⠀⠀⠀⠀⣼⡟⢠⠃⠀⠀⡟⠀⢠⣿⣿⡿⢿⡠⠖⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠸⡀⢀⠀⡇⠹⣄⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠳⣄⠀⠀⠘⣿⠉⠉⠛⠿⣶⢤⣴⣷⠁⣸⠀⠀⢠⠃⠀⡞⢿⡿⠡⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⢇⠘⡀⢹⡄⢹⣦⡀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⢷⣄⠀⠀⢠⡀⠉⠙⢦⡀⠹⡄⠀⠀⠀⢠⣿⣿⡟⢠⠇⠀⢀⣿⠀⢰⣧⠞⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡆⡀⠀⠘⡆⢷⠈⣿⡈⢷⠙⢦⡀⠀⠀⠀⠀⠀⠈⠻⢿⣉⠉⠉⣙⣒⡶⠬⢧⣶⣄⠁⢀⡇⠀⢀⣴⣿⣿⣿⠃⡼⠀⠀⣼⣿⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢧⢁⠀⠀⠸⡌⡆⢹⡱⡌⢧⡀⠉⠳⢤⡀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⢀⣠⠄⠈⠈⠉⠉⢁⣴⣿⣿⣿⣿⡇⢰⠃⠀⣴⣣⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢳⡀⠀⠘⡎⢣⠀⠀⠹⣽⡀⢇⠘⢆⠻⡄⠀⠀⠉⠳⣄⣀⠀⠀⠀⠀⠀⠘⠿⠏⠃⠀⠀⠀⢀⣴⣿⣿⣿⣿⡿⡿⢠⠎⠀⣸⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠱⡄⠀⢹⡌⣆⠀⠀⠣⢷⡘⣧⠈⠳⡘⢦⣀⡈⢦⡀⠈⠛⠲⣤⣀⠀⠀⠀⡀⢀⣀⣠⣶⣿⣿⣿⣿⣿⠛⡹⢃⠎⠀⣴⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣻⠀⠀⠀⢻⣧⢸⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣳⣿⠃⠀⡸⠀⢀⡇⡏⠂⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣇⠀⠀⠈⢯⢧⣿⣿⣷⣄⠀⠀⠀⠀⠀⢤⣶⠺⠟⠋⠉⠉⠛⠳⣦⡄⠀⠀⠀⠀⠀⣸⣿⡿⡿⠀⠀⠃⠀⢸⢸⡀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠉⢿⣿⡿⢿⣶⣄⡀⠀⠀⠀⠙⢦⡀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⣠⣾⣿⡟⢱⠁⠀⠀⠀⢀⡏⣾⡇⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢄⠈⠳⠀⠀⠀⠀⠣⠁⠀⠘⠻⢛⣦⣀⠀⠀⠀⠉⠒⠦⠖⠋⠀⠀⠀⢀⣤⣾⣿⠟⠋⠀⡞⠀⠀⠀⠀⣼⢳⢿⣷⣼⡇⠀⢰⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠦⣄⠀⠀⠀⠀⠀⠀⠙⠳⣴⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⣠⣴⣿⡿⠟⠁⠀⠀⢰⢣⠀⠀⠀⣴⣯⡟⠀⣿⡇⣷⠀⢯⣣⠀⠀⠀⠀⣀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢦⡀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣷⣤⣤⣤⣴⣿⠿⠛⠁⠀⠀⠀⠀⢀⣾⠃⠀⢀⡞⢱⡿⠀⠀⣿⡏⣿⢧⠈⣯⡀⠀⠀⠀⣿⣯ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⣄⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⣠⠎⢀⡾⠁⠀⠜⣿⡇⣿⠈⣧⠸⣧⣄⣤⡶⢾⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠢⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⢀⡴⠁⠀⡾⠃⠀⠀⠀⣿⡇⣿⡄⢿⣇⣿⣟⢷⣆⢨⣅ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⢁⡴⠋⠀⢀⡜⠁⠀⠀⠀⠀⢹⡇⣿⡇⠈⢿⣿⣿⡀⠙⢷⣮ ⠀⠀⠀⢲⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠖⠋⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⢸⡇⣿⡇⠀⠸⣿⣿⣧⠀⠐⡮ ⠀⠀⠀⠀⠈⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⣿⠇⠀⠀⠋⣿⡏⢷⠀⠁ ⠀⠀⠀⠀⠀⢈⣿⣿⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢰⣻⠁⠀⠀⠀⠙⣷⣸⣷⠀ ⣄⣀⠀⣀⣴⣾⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠸⣿⠀⠀⠀⠀⠀⢘⣿⣟⠶ ⡉⠻⠟⠁⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⡇⡏⠀⠀⠀⠀⠀⠸⡏⣿⠀ ⣯⠞⠀⢘⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⣼⢀⠏⠀⠀⠀⠀⠀⠀⣷⣸⢸ ⣿⠀⠀⣸⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡎⢰⠃⠳⠀⠀⠀⠀⠀⠀⠀⠈⡗⠀ ⢻⣧⣴⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⢀⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠈⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⢧⠸⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡰ ⠘⣧⠹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⠆⢻⣦⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⢀⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣻ ⡆⢸⣿⣾⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠹ ⣧⠘⠙⣿⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⢃⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀ ⣿⣄⠀⠸⣷⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⣰ ⣼⣿⡄⠀⠘⡆⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⢀⡼⣣⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⣰⣿ ⣿⣿⣦⠀⠀⢹⡈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣦⠀⠀⠀⢀⡴⢋⡴⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠯⣴⠟⣥ ⣦⢻⡿⣾⢦⡀⢧⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⡶⠞⢋⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣴⠿⠅⡼⠃⣰⠋ ⠹⣿⣇⡘⠻⣿⣎⣧⡀⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠿⠋⢀⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠋⣀⡾⠁⣰⠃⠂ ⠤⠬⠿⠿⠦⠬⠿⢿⣷⡀⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣶⣿⣿⠿⢋⢁⡤⢾⠯⠄⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡦⠶⠿⠿⠤⠴⠯⠤⠴⠧⠤⢤ ⣀⣀⣀⣀⣀⣀⣀⣀⣙⣻⣦⣈⡻⣿⣗⠀⣠⣤⣀⡤⠤⠶⠖⢋⣫⣥⠼⠛⢉⣤⠴⠚⠋⠉⠀⢀⣀⠀⠀⠀⡀⠀⠀⠀⢀⣀⣀⣀⡤⢴⣚⣋⣉⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠈⠙⡻⠿⣟⡳⠾⠶⠶⠚⠛⠛⢉⣉⣤⡶⠾⠯⠤⠤⠖⠒⠚⠛⠛⠒⠒⠒⠒⠓⠒⣒⣻⣭⣭⣭⣤⣄⣈⡉⠉⠉⠉⠉⠉⡉⠉⠉⠉⠉⠉⠉⠉⠉
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⠀⡄⢠⠃⢸⠇⠀⠀⠀⠀⢀⣿⣞⣵⣾⠟⢁⣴⣾⢹⣧⠀⠉⣿⣦⣄⡀⠰⡄⢸⣿⣿⣿⣿⣿⣿⣿⣷⣯⡉⢻⣿⣿⣿⣿⣿⣿⣵⣯⡛⠷⣶⣴⣣⣬⡀⠀⠀⡰⠀⠀⠀⠀⠀⠀ ⢸⠇⡾⠀⡞⠀⠀⠀⢀⣴⣿⣿⣿⡿⠋⢀⣾⠁⡟⣿⣿⣷⣤⣼⣿⣿⣷⡄⢷⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⡿⠿⣿⣿⣿⣿⣿⣿⣿⣷⢞⣿⣿⡟⡛⣦⡞⠀⠀⠂⠀⠀⠀⠀ ⡞⢠⠇⢰⠇⠀⢀⣴⢟⣽⣿⣿⡿⠁⢠⣾⠇⠀⣷⣿⠉⢿⣦⣳⣝⡻⣿⣿⣸⡇⢻⣿⣿⣿⣿⣿⣿⣿⣿⢿⠀⣿⠀⡀⠈⠉⢛⣿⢟⣫⣿⡿⢻⣿⣷⣿⣿⣿⢶⡂⠀⠀⠀⠀⠀ ⠃⡼⠀⣾⣀⣴⠟⢁⣾⣿⣿⡿⠀⢠⣾⣯⡆⠀⣿⣿⣷⣾⣿⣿⣮⢻⣿⣿⣿⣇⢸⣿⣿⣾⣿⣿⣿⣿⣿⢸⡇⡿⣿⣿⡿⢖⣯⣷⣿⣿⣏⣴⣿⣿⣏⣿⣿⣾⡻⡿⣦⣀⠀⠀⠀ ⢀⣇⣴⣿⡿⠁⢀⣿⣿⣿⣿⠁⠀⣾⣿⡟⠀⠀⣿⣿⡿⠿⠬⠛⠛⠃⢻⢿⣿⣿⡀⣿⣿⣿⣿⣿⣿⣿⢿⡄⢷⣇⡼⠋⠐⠛⠉⠀⠀⢀⣼⣿⣿⡟⣸⣿⡟⣿⣿⣆⠀⠻⡷⣤⡀ ⣿⡿⢛⡿⠀⠀⣼⣿⡿⣻⠇⠀⣼⣿⣿⠁⠀⠀⢻⢻⣧⠀⠀⠀⠀⠀⠀⢷⡙⢿⡇⠹⣿⣿⣸⣿⣿⣿⢸⣇⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⣼⣿⣿⣿⣎⢻⣿⣧⡀⠙⣦⠙ ⠉⣠⢿⠁⡄⢰⣿⣿⠁⡟⠀⢀⣿⣿⡇⠀⠀⠀⠸⡆⠹⠄⠀⠀⠀⠀⠀⠀⠃⠈⢿⡄⣿⣿⡟⣿⣿⣿⡘⣿⡀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠿⢟⡴⠻⣏⠹⣿⣿⣦⠙⣿⣷⣄⠈⢧ ⣿⡏⠀⢸⡏⢸⣿⡏⢸⡇⠀⣸⣿⣿⡇⠀⡄⠀⡆⡿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠸⣿⣿⣼⣿⣿⡇⢿⢧⢹⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠙⣆⠻⠙⣿⣇⠘⣿⣝⣧⠀ ⡟⠀⢠⣿⠀⣿⣿⠀⢸⠀⢀⣿⣿⣿⠁⠀⡇⠀⣿⡇⢸⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⢹⣿⡏⣿⣿⣷⢸⣾⡈⣧⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠘⢧⠣⠈⢿⡆⠙⣧⠸⣧ ⡷⠀⣾⡏⢀⣿⡏⣿⠸⠀⢸⣿⣿⡟⠀⢰⡇⠀⣿⡇⠈⢧⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠘⣦⢻⣷⣹⣿⣿⠈⣿⣷⠹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢧⠀⡈⢿⡄⠹⣿⠻ ⠀⢰⣿⡇⢸⣿⢇⡇⣼⠀⢿⣿⣿⠇⠀⢸⢰⠀⢸⡇⠀⠈⠳⣀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠸⡎⢿⣯⣿⣿⡆⢹⣿⠂⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠈⢷⠀⢻⡦ ⡄⣿⣿⡇⢸⡟⢸⡇⡿⠰⢻⣿⣿⠀⠀⡇⠸⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠿⡞⣿⡜⣿⣷⠘⡏⣯⢸⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢇⠀⠈⣧⡀⢻ ⢹⣿⣿⡇⢸⡇⢸⡇⡇⠀⢸⣿⣿⠀⢸⡇⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠋⠉⠀⠀⠹⡌⠿⠌⢿⣇⢻⠹⣦⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠘⣷⡼ ⣼⣿⣿⡇⢸⡇⢸⡇⡇⡀⢸⣿⣿⠀⣸⠀⠀⠀⠙⡇⠀⠀⠀⠀⠀⠀⠔⠚⠋⠁⠀⠀⠀⠀⠀⢠⠿⣆⠀⠘⢿⡄⣧⣆⢸⣷⣄⠀⠀⠀⠀⠀⠀⣀⣀⠀⣠⡆⠀⠀⢿⡄⠀⠙⢅ ⣿⣿⣿⣧⠈⡧⢸⡇⠁⡇⢸⣿⣿⢀⡇⠀⠀⠀⠀⣸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠞⠠⠖⠁⠀⠙⣆⠀⠚⢷⡘⣾⡂⢇⠈⣹⠟⠛⢉⣩⣽⣿⣾⣿⣿⡙⠓⠀⣸⣷⠀⠀⠀ ⣿⢿⣿⣿⡀⠇⣮⣇⠀⠃⠘⣿⣿⢸⠃⠀⠀⠀⢠⡘⣇⣠⠤⠶⠶⠒⠒⠒⠒⠲⠶⣄⡀⠀⠀⠀⠀⠀⠘⢧⡀⢀⠷⠹⣷⢸⡆⢀⣴⣾⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⡋⣿⣧⠀⠀ ⢿⣾⣿⣿⡇⠇⢹⣿⠀⠀⠀⣿⣿⣾⠀⠀⠀⠀⣺⣿⣿⣶⣶⣶⣶⣿⣶⣶⣶⣶⣶⠤⠉⠂⠀⠀⠀⠀⠀⠀⠳⣌⢷⠀⢹⣆⣷⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠙⢿⣿⣿⣿⣿⣷⠚ ⢸⣿⣿⣿⡇⠀⠈⣿⡄⠀⠀⢹⣿⡏⠙⢲⣶⣟⣍⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡄⠀⠀⠀⠀⠀⠀⠈⢿⣷⡄⢹⣟⣿⣿⣷⣄⢀⣾⣿⣿⡇⠀⠀⢈⣿⡟⣿⣿⣏⣧ ⡆⣿⣿⣿⡷⠀⢸⢻⣧⣄⣀⣈⣿⣧⣾⣿⣿⠟⢹⡇⠀⢻⣿⣿⣿⡉⠛⢹⣿⣿⢿⡆⠙⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣆⠹⢿⣞⠋⠉⠛⠛⣻⠏⠀⠀⠀⢸⡟⠁⣿⣿⣿⢹ ⡇⢹⣿⣿⣿⣤⡎⣆⢻⡄⠉⠛⢿⣿⣿⣿⠃⠁⢸⡇⠀⠀⣩⣿⣿⣿⣶⣾⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣖⠐⢿⡓⠶⠶⠞⠁⠀⢀⠤⣄⠈⠀⠀⣿⣿⣿⠸ ⡟⠘⣿⣿⣿⣿⣿⡻⣌⣷⡀⠀⠈⣿⠻⢿⣦⡄⢸⠀⠀⠀⢿⠻⣧⣄⣀⣀⣴⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠒⢼⣧⡰⠽⣯⡙⠛⠿⣟⡣⣤⣽⠀⠀⠀⣿⣿⣿⠈ ⣿⠀⢻⣿⣿⣿⣿⣿⣿⡼⣧⠀⠀⢻⡀⠀⠙⡇⢼⠀⠀⢀⡘⡆⣀⣠⣽⠷⠖⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡿⢦⣸⣿⣅⠒⠲⠬⣕⡂⠉⠀⠀⣿⣿⣿⣖ ⣿⣧⠀⢿⣿⣿⣿⣿⣿⣷⡹⣇⠀⠘⣇⠀⠀⠀⣸⢀⡔⠉⠉⣿⠴⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠀⠘⢮⡛⣶⡌⠙⣒⠋⠄⠀⠀⠸⣿⣿⣿ ⣿⣿⣷⠈⢿⡿⣿⣿⣿⣿⣧⡙⣄⠀⢹⡆⠀⠀⡿⡄⠙⠚⠛⣿⠢⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠻⣷⣄⠀⠀⠀⠀⠀⣿⣿⣿ ⣿⣿⣿⣧⡈⣿⣽⣿⣿⣿⣿⣷⡈⠄⠸⡿⣄⢀⡇⠀⠀⠈⢀⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡍⠓⢄⠀⠀⠀⢻⣿⣷ ⣿⣿⣿⣿⣧⡘⣿⣶⠹⣿⣿⣿⣿⡄⠀⢹⡹⣮⡇⠀⠀⠤⣄⣹⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠤⠶⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⢸⣿⣿ ⠋⣿⣿⣿⣿⣇⠘⣿⣷⡌⠻⣿⣿⣿⡄⠘⣷⡝⣷⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢚⣩⣥⣤⡤⠤⢤⡈⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿ ⠀⣿⣿⣿⣿⣿⡄⢹⣿⣿⣦⡈⠻⣿⣿⣧⠙⣿⡼⣄⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⣿⠟⠁⠀⠀⠀⠀⠀⠻⣼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿ ⠀⢸⣿⣿⣿⣿⣷⡀⢿⣿⣿⣿⣦⡈⠻⢿⣷⣹⣿⡝⢦⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠿⡖⣏⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⢛ ⠀⣿⣿⣿⣿⣿⣿⣿⠸⣿⣿⣿⣿⣿⣦⣀⠙⣿⣽⣿⣎⢷⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣧⣀⣇⢹⠀⠀⠀⠀⡀⠀⠀⠐⣸⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⡚⠀⠀⠀ ⠀⣿⣿⣿⣿⣿⡇⣿⡄⢹⣿⣿⣿⣿⣿⣏⢷⣄⠙⢿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠉⣺⠤⠶⠛⠉⣧⡀⠀⠸⣉⣽⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⢀ ⠀⣿⣿⣿⣿⣿⣇⣿⣷⠘⣿⣿⣿⣿⣿⣿⡈⣿⣷⣄⠹⣿⣿⡙⣆⡀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠛⠁⠀⠀⠀⠀⠈⡇⠀⢴⡁⢶⡇⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠘ ⠀⣿⣿⣿⣿⣿⣿⢸⣿⡆⢹⣿⣿⣿⣿⣿⡇⢻⣿⣿⣷⡌⠻⢯⣙⣷⣄⠀⠀⠀⠀⠀⠀⠘⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣧⣤⠞⢋⡎⠀⠀⠀⠀⠀⠀⣠⡞⠁⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣿⣿⣿⠏⣿⠁⣹⠸⡟⣿⣿⣿⣿⣇⢸⣿⣇⠈⠛⢶⣝⣯⡈⢻⣶⡀⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀⠀⠀⢀⣴⠋⠉⠉⣀⡴⠋⠀⠀⠀⠀⠀⢠⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⡏⢰⠏⣰⣿⡇⣧⣿⣿⣿⣿⣿⠘⣿⣿⡆⠀⠀⠙⢿⣟⠎⠙⣿⣦⣄⠀⠀⠀⠀⠀⠙⠦⣀⣀⡰⠋⠉⠉⠉⠉⠁⠀⠀⠀⠀⣄⣠⠞⠁⠀⠀⠀⢀⣠⢦⣄⠀⠀⠀ ⣾⣿⠟⢁⡿⢳⡿⣠⣿⡿⡇⣿⢸⠿⢿⣿⣿⢀⣿⣮⣿⣄⠀⠀⠀⠙⢦⢀⠘⣿⣿⣯⡓⠲⢤⣤⣀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⠟⠁⠀⠀⠀⠀⣠⠏⠁⠀⠈⢣⠀⠀ ⠉⠀⣠⡾⣡⣾⣷⣯⡟⠀⡇⢸⠀⠀⠀⣿⣿⠈⣿⣿⣿⣿⣷⣤⣀⠀⠈⢻⣷⡘⢿⣿⡿⣦⣤⣴⣿⣿⣿⣿⣾⣦⣤⣤⣀⣀⣀⣠⡴⠚⠁⠀⠀⠀⠀⠀⣠⠃⠀⠀⠀⠀⠀⠳⡀ ⠟⠋⢁⣰⣿⣻⡿⠃⠀⠀⢻⢸⡆⠀⠀⣸⣿⠚⣿⣿⡿⣿⣿⣾⣿⡿⣷⣦⣿⣷⣜⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣾⡿⠏⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⢀⡏⠀⠀⣠⣆⡀⠀⠀⢳
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⣤⣴⠞⠋⣡⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⠝⠷⣄⠀⠀⣻⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠶⣶⠖⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣴⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⡿⠻⠿⣿⠻⣿⣉⢻⣿⣍⣉⣻⣟⠿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠤⡀⠀⠀⠀⣠⣴⣻⣿⣿⣿⣿⣿⣿⣿⠟⣿⣏⡟⣤⣾⣿⡟⢿⣿⣻⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⢎⡙⣲⣿⣾⣿⣿⣿⠿⣿⣿⣿⣯⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠳⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣴⣟⣱⡿⠿⠛⣉⣡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⣿⣿⣿⣿⢿⡟⣿⣿⣿⣿⣧⡀⠳⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢫⣴⡿⠛⣳⣾⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠟⠀⢿⣿⣿⣿⣿⣏⠁⡈⠉⠿⢿⣿⣷⡠⡀⠳⡄⠀⠀ ⠀⠀⠀⠀⠈⠁⣠⣿⡟⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⠃⣿⣿⣿⣿⣿⣿⠈⣿⣿⣿⢸⣿⣿⢹⠉⣿⣿⣿⣿⡻⣿⣿⣿⣷⡌⢆⡈⣿⣿⣿⣿⣿⣧⠉⢷⡀⡈⠛⢿⣷⡠⠀⠘⡄⠀ ⠀⠀⠀⠀⠀⣼⣿⣟⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⢿⣿⠀⡿⣿⣿⠀⢿⣿⠸⡄⠘⣟⣿⣿⣇⠈⠘⢿⣿⣧⣴⣷⡝⣿⡿⢿⣻⣿⣷⡘⢿⣮⣼⢀⠙⢷⣄⡀⢹⠀ ⢲⣶⣦⣤⣾⣷⣻⣽⣿⣿⣿⣿⣿⣿⣿⢿⠛⣿⣿⣶⣿⣿⣿⠩⣤⣿⡆⠷⢿⣿⠦⢼⣿⠛⠉⠉⢙⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⠇⠘⣧⠐⢷⡀⠿⠿⣤⣽⣿⣿⡀⠀⠉⠙⠲⣤ ⠓⠉⢛⣷⣤⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣟⣍⡽⣿⣿⣷⠀⣿⡇⠀⢘⣣⣠⣴⣿⣶⣾⣿⣿⣿⡿⠿⢿⡟⠋⠉⣿⣿⣿⠀⡀⣹⡆⠈⠱⠡⠀⠀⠈⣹⠻⣿⠷⠶⠶⠶⠶ ⠀⢸⣼⡿⠿⠃⡟⣿⣿⣿⣿⣿⣿⣿⣿⢳⠈⣿⣿⣿⠁⢹⣿⣯⣴⣿⣷⣿⣿⣿⠿⠛⠛⠋⠉⠉⢁⣿⠀⢠⡬⠛⠀⠀⡟⠛⢳⣷⣶⡏⣿⡀⠀⠀⠃⠐⡰⡀⠂⠨⢁⠤⠤⠀⠀ ⠀⠈⣿⡇⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣩⣽⣿⣿⣿⠿⠿⠛⠋⠉⠉⠈⠻⣿⠀⠀⣴⡆⠀⢰⡿⠃⢚⡿⠁⠀⠀⠀⢠⣤⣤⡿⣿⡇⠸⣇⠀⠀⠀⠀⢱⣿⡀⠘⢀⠀⠅⣘⣷ ⠀⢸⢹⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⢻⣿⡇⠀⢠⡀⠀⢰⡾⠇⠀⠀⠀⠙⠀⠀⣿⡇⠀⠸⠏⠀⢀⣀⡀⠀⠀⢀⣾⣿⠃⠀⠸⣧⠀⣻⡄⠀⠀⢠⠀⢻⣿⡄⠙⢿⣞⠛⢉ ⠀⠸⠸⣿⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠘⠿⠃⠀⠈⠁⠀⣀⣴⡇⠀⠐⣦⠀⠀⠀⣿⡇⠀⣐⣀⣠⣾⣿⣷⣶⣿⣿⣿⣿⡀⠀⣾⣿⠀⢹⣷⠀⠀⠀⠀⠫⣿⣷⠀⠀⢹⣷⡈ ⠀⠀⠀⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⡏⠉⠀⠀⣤⡤⠀⠀⠀⠀⠋⠉⣀⣀⣠⣿⣷⣤⣶⣿⣿⣿⡿⠿⠿⠿⠟⠛⠛⠛⠋⢹⣿⡇⠀⣿⣧⠀⡌⣿⣧⠀⠀⠀⠂⠘⣿⣧⠀⠀⣿⣿ ⠀⠀⠀⠘⣿⡄⣿⢹⣿⣿⣿⣿⣿⣷⡖⠀⢀⣿⣧⣤⣤⣶⣶⣶⠿⠟⠛⠛⠛⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⣿⡇⣼⡿⢿⠀⠇⢸⣿⣆⠀⠀⠀⠀⠹⣿⡆⠀⢸⣿ ⠀⠀⠀⠀⠘⢿⣿⡿⣿⣿⡿⣿⠿⢿⣿⣿⣿⡉⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⣰⡟⢰⢿⣿⣷⠃⣸⣆⣠⢸⣿⣿⡆⠃⠀⠈⡄⠹⣿⡄⠈⣿ ⠀⠀⠀⠀⠀⣰⠛⣿⣿⣿⣿⣿⣆⣺⣿⣿⣇⠙⢢⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣄⣀⠀⠀⠸⠀⠀⠀⠀⠀⢀⣿⣷⠟⣾⣯⡏⠀⠘⢩⣿⢈⣿⣿⣿⣿⣦⠀⠀⠀⠹⣧⡀⣿ ⠀⠀⠀⣀⡾⠃⠐⣷⣿⣿⣧⠈⢹⣿⡄⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢲⣎⣩⣤⣴⣶⣿⣿⣿⣷⣶⠃⠀⠀⣀⣠⡾⠋⠁⢠⣿⡞⢠⣦⣤⣿⢘⢼⣿⣿⣿⣟⢿⠀⠀⠀⠀⠘⢿⣿ ⣤⡤⠚⠋⡴⠀⣼⡟⢿⣿⣿⣦⣤⣿⣧⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠿⠛⠉⠛⣿⡆⠀⣀⡨⠕⠃⠀⠀⣼⡿⢠⣿⡏⠀⢹⢸⣿⣿⣿⣿⣿⣼⡄⠀⠀⠀⠀⠈⢿ ⠉⠀⠀⢰⡇⣴⡿⠁⢸⣿⣸⣿⢹⣿⣿⣿⣯⣿⣦⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⡿⠁⠀⣠⠶⠃⣿⡇⠈⠉⠀⠀⠀⠀⢸⣷⣣⣾⣿⣿⣶⣿⣾⣿⣿⣽⡏⣿⣿⣿⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⣾⢸⣿⠁⠀⠀⣿⡏⡇⠘⣿⣿⣿⣿⣿⣏⠙⠲⠤⠀⠀⠀⠀⠈⣿⣿⣡⠔⠋⠀⠀⣸⡿⠀⠀⠀⠀⠀⠀⠀⣼⠉⠉⠉⠉⢹⣿⢋⡿⢻⣿⣿⣷⣼⣿⣿⣧⡀⠀⠀⠀⠀ ⠀⠀⠀⢿⡟⣿⠀⠀⠀⠸⣽⠳⠀⣿⣿⣿⣿⡿⣿⣷⡀⠘⢀⣤⡤⠴⠒⠚⣉⡤⠐⠀⢀⣰⢟⢡⠁⠀⠀⠀⠀⣠⣾⣿⡦⣤⠀⣰⣿⣾⣼⣷⡞⢿⡟⠛⠛⠛⢹⣿⣧⠀⠀⠀⠀ ⠀⠀⠀⠘⣇⣇⢆⠀⠀⠀⢻⣧⠀⢿⣿⡟⣿⣆⣸⣿⣿⣗⠋⠀⠀⢀⣶⣾⣋⣀⣤⠴⠿⠵⢄⡠⠀⠀⢀⣠⣾⣿⡟⡿⠀⣿⠀⣿⣿⣿⣿⣿⣿⡀⠹⡀⠉⣆⠰⣿⣿⠆⠀⠀⠀ ⠀⠀⠀⠀⠹⣾⣬⠧⢤⣀⣀⠙⢧⣘⣿⡟⠃⠀⠀⠀⠀⠀⠘⠛⠛⠛⠓⠲⠤⠤⠤⢄⣀⣀⣀⣋⡤⣤⣿⣿⣿⠏⠁⢧⠀⣿⢀⣽⣿⣿⣿⣿⣿⣿⣄⠀⠀⠙⢳⣿⠏⠀⠀⠀⠀ ⠀⠀⣠⠖⠋⠁⠀⠀⠀⢀⣭⢉⣀⣩⡿⠷⠛⠀⠀⠀⠀⠀⠀⠀⠀⠒⠲⢤⣀⣀⣀⠀⠀⠀⣀⣠⣤⣿⣿⣿⠋⠀⠀⠸⠀⣿⠀⠉⣿⣿⠿⣿⣿⣿⣿⣷⡂⠀⠀⢹⣦⡀⡇⠀⠀ ⣠⠾⠁⠀⠀⠀⣀⡤⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠉⠛⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⣀⠀⣿⡆⠀⢸⣿⠀⠹⣿⡻⣿⣿⣿⡀⠃⠀⢛⢿⣇⠀⠀ ⠉⢀⡴⠋⣱⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣶⡶⣄⡀⠀⠉⠉⠛⣫⠍⠁⠀⠀⠀⣰⠃⠀⢻⣿⣦⠀⠘⢦⡀⠈⠳⣽⣿⡿⢧⣷⠀⢸⠀⠻⠄⠀ ⠀⠉⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠜⠛⣻⡿⣙⡲⠿⠿⣭⣙⣉⠁⠀⠀⠀⠀⡼⠁⠀⠀⠀⠙⠿⣿⡶⣾⣷⣦⣤⣸⣿⣿⣿⣻⢆⣼⣤⣀⢀⡄ ⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢁⣈⣩⡽⠟⢉⣭⣿⣶⣦⣤⣉⡛⢦⣄⡀⠚⠁⠀⠀⠀⠀⠀⠀⠈⠙⠲⣼⣿⠛⠮⣽⣿⣧⢀⣽⣿⡿⠿⢿⣄ ⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣠⣤⣴⣶⣾⣿⢧⠤⠴⠾⠛⠛⠛⠛⠛⠛⠛⠛⠿⠿⠿⣿⡶⠶⠶⣶⣶⡦⠤⣤⣤⢤⡝⠙⣶⣶⡏⠙⠛⠃⠀⠀⠀⠀⠀⠠ ⠀⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣅⣀⣤⠴⠟⢛⣩⠖⠋⠁⡀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠤⣉⠙⠉⢻⠭⡟⠻⣏⢈⠛⢦⣄⡀⠀⠀⠀⠀⠀⠀
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⣀⣀⢀⣀⣀⣤⡴⠞⠋⠁⠀⠀⣀⣠⡞⠁⠀⢸⡄⢠⡏⠀⣿⠀⠀⢀⣿⢹⠀⠀⠀⠀⠀⠀⠀⢰⢏⡏⢀⡼⢿⣧⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣩⡽⠋⠉⠀⣸⠃⠀⠀⠀⠀⢠⣟⡿⠀⠀⠀⠀⣧⡞⠀⠀⢿⠀⠀⢸⣿⢸⠀⠀⠀⢾⡲⢤⣀⣟⣾⣠⡿⢣⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠀⠀⠀⣸⡇⠀⠀⠀⠀⢀⣟⡿⠁⠀⠀⠀⠀⠘⠃⠀⠀⠘⣆⠀⣼⣿⣿⠀⠀⠀⠈⠙⣦⠙⢯⣵⡿⣡⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⡿⠋⠳⢿⣀⠀⠀⠀⠀⠀⠀⠀ ⣠⡞⠀⢰⣿⠀⠀⠀⠏⠀⣼⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⡇⢸⣿⠀⠀⠀⠀⠸⣧⣤⡾⢟⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⣹⣿⠋⠀⠀⠀⠀⠉⠓⠲⠤⠤⠀⠀⢰ ⠏⠀⠀⣿⡇⠀⠀⢸⠀⣸⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⠀⣿⠀⠀⠀⠀⠀⣿⣿⣡⣞⡞⠀⠀⠀⠀⠀⠀⠀⣀⡴⠋⢠⣼⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢄⠴⠛ ⠂⠀⣸⡟⡇⠀⠀⡏⢠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠸⡄⠀⠀⠀⠀⣽⡿⢋⡟⠀⠀⠀⠀⠀⣀⡴⠞⠁⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⠗⠉⠀⡐ ⠀⠀⣿⢁⣇⠀⢠⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⣼⡟⢠⠞⠀⠀⢀⣤⠔⠋⠁⠀⢠⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⢀⣤⡤⠚⠋⠀⠀⠀⠀⡇ ⠀⠀⣿⢸⢻⣀⣸⣠⡧⠶⠶⠶⠾⠿⠿⠿⠿⠿⣷⣶⣦⣤⣀⣀⣀⣀⠀⠀⠀⢳⡄⣰⠋⣠⣏⡤⠖⠋⠉⠀⠀⢀⡤⠞⠉⠀⠀⠀⠀⢀⣀⣠⠤⠶⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⡏⠈⢸⡇⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡟⠉⠿⠛⠉⠀⠀⠀⠀⠹⠏⡴⠋⠁⠀⠀⠀⢠⣴⣾⠭⠤⠤⠴⠒⠒⠒⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃ ⠀⢘⡇⠀⢸⣿⡄⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣾⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠ ⡆⠘⢿⣶⣾⣁⠳⣼⣀⠠⠤⠤⠄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠻⢷⣦⣤⢦⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⡇⠀⠀⢹⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣦⣉⠙⠲⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⢿⡿⠿⣿⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⡇⠀⠀⢸⡏⠻⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣦⣀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠟⠋⠁⠀⠈⠙⠻⠿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⢿⡀⠀⠨⡇⠀⢻⣧⠀⠀⢻⣿⣿⣿⣏⠉⣻⣿⣿⣦⠹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣷⣄⠀⠀⠀⠀⠀⠀⠀⢸ ⣺⣧⠀⠀⢻⣻⠁⢻⡄⠀⠘⣿⣉⣿⣿⣷⣿⣿⣿⡿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⠀⠀⠀⠀⠀⠈ ⣿⣿⣧⡀⢸⣟⠦⢀⠻⢦⡀⠈⠿⣷⣬⣭⣍⣉⣿⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⠾⠷⠤⠤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢄⠀⠀⠀⢀ ⣿⣿⣿⣿⢶⣿⡀⠀⠀⠈⠓⣒⣲⠤⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠉⠁⢰⣶⣶⣶⣶⣾⣭⣭⣒⡶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⢠⣯ ⣿⣿⣿⡟⠀⠭⢿⣾⣿⠿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣀⣀⣀⡀⠀⠀⢀⣴⠟⠃ ⠉⠻⣿⡇⠀⠀⠈⠁⠀⠤⠶⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⢸⣿⣻⣿⣿⣍⣉⣿⡿⢿⣿⣿⣿⣿⣿⣿⣭⡉⠉⠐⠋⠁⠀⢀ ⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣧⣿⣍⣿⡀⢀⣾⣿⠛⠛⠻⢿⣿⣿⣷⣦⡤⡤⢠⡟ ⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⢯⣉⣴⡾⠟⠁⠀⠀⣀⡾⠟⠋⠁⠀⠀⣴⠏⠀ ⠀⠀⣠⡇⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠉⠁⣀⣠⠤⠶⡾⠋⠀⠀⠀⠀⢠⡿⠁⢀⢈ ⠀⢸⣿⡷⠞⠋⠁⠀⠉⢻⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢭⡭⠿⠓⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠀⠀⣠⣼ ⣤⠟⠁⠀⢀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⢀⣴⣾⣿⣿ ⠀⠀⢰⣀⡇⠀⠀⠀⢠⣧⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡶⠞⣻⣿⣿⣿⣿ ⠀⠙⢺⡏⠀⠀⠀⣴⠋⠀⠀⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠾⠛⡅⠀⣸⣿⣿⣿⣿⣯ ⠀⠀⢸⡀⠀⠀⣰⢃⣠⠖⠋⠁⢹⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⢰⣿⣿⣿⣿⠋⣠ ⠀⠀⠈⣷⠀⣰⣿⠟⠁⠀⠀⠀⠈⣏⠉⠙⠦⡄⢰⣶⣶⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⢀⣴⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⣹⠟⠁⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⣿⣿⢿⣿⣯⣭⠿⠻⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⢁⣴⠿⠛⠋⠁⠀⠀⠈⠙⠻ ⠀⠀⣴⠟⠁⠀⠀⠀⠀⢀⣠⠴⠋⠀⠀⢀⡼⢹⣿⠶⢾⡿⠁⠀⠀⠰⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢉⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠃⠀⠀⢀⢀⡤⠖⠋⠀⠀⠀⠀⢠⡾⠛⠛⠛⠛⢿⣇⠀⠀⠀⢤⣰⢨⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣢⣶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⡀⠀⢀⡰⠋⠀⠀⠀⠀⠀⣀⣴⢋⡴⠋⠀⠀⠀⢸⠋⠳⣦⡀⢸⡿⡜⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠤⠶⠶⣶⣶⡿⠟⢡⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠒⠀⢳⡶⠋⠀⠀⠀⠀⣀⡴⠚⠉⢷⡞⠀⠀⠀⠀⢠⡿⣤⣤⠤⠿⡟⠻⣟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⠉⣀⣤⡴⠊⠉⠀⠘⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠏⠀⠀⠈⢸⣀⠞⠁⠀⠀⠀⢈⡇⠀⠀⠙⣶⢸⣇⠀⠀⠀⠀⠘⣆⠙⢦⠀⠀⠀⠀⠀⠀⢀⣀⣤⡞⢀⣴⣿⣿⠋⠀⠀⠀⠀⢀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡀⢠⠀⢀⡾⠉⠀⠀⠀⢀⣠⠞⢷⡄⠀⠀⠙⣾⡏⢳⣄⠀⠀⠀⣼⠀⢈⣧⣤⣤⣶⣶⣿⣿⣿⡟⠀⢠⡾⠋⠁⢀⣀⣤⣴⣶⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠳⣄⡴⠋⠈⠛⣲⡶⠚⠉⣽⠀⠈⠻⢦⣀⠀⠘⣇⠀⢻⡟⢻⠻⣿⣶⠋⢹⣿⣿⣿⣿⣿⣿⣿⠀⢀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⠀⠀⡀⣀⣀⣴⢞⣥⡤⠖⠛⡟⠀⠀⠀⣰⠏⠉⠉⠁⠀⠀⠻⣾⠘⣟⠸⠟⠸⠼⠻⡍⠛⢿⣿⣿⣦⢸⣿⣿⣿⣿⣿⣿⣿⢿⣿⠟⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⣿⣿⣿⣿⡀⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢳⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣾ ⣿⣿⣿⣿⣿⡻⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡼⣿⣿⠿⣧⣭⣝⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢷⣿ ⣿⣿⣿⣿⣿⣿⣻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢏⣿⣿⣮⡿⣍⠻⣶⣽⣿⣿⣿⣿⣿⣿⣿⡸⣸⣿ ⣿⣿⣿⣿⣿⣿⣷⡡⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠁⣀⠙⣷⡀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣸⢻⣿⣿⣿⣿⣷⣜⠻⢿⣿⣿⣿⣿⣿⡏⢃⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⡀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⡏⠉⠁⢀⡀⠀⣿⡆⠈⢿⣄⠀⠈⢿⣿⣿⣿⣿⣿⡏⠸⣿⣿⣿⣿⣿⣯⣷⣿⣿⣿⣿⣿⣿⢣⣸⣿⣿ ⣯⠅⠄⠀⠀⠤⠆⠿⣷⡄⠹⣿⣤⠶⡶⢀⣴⠘⠛⠛⣻⣿⣫⣾⣿⣿⠟⢁⣤⣶⡿⢁⣴⣿⣿⣆⠘⣿⣆⢠⡀⠻⣿⣿⣿⣿⣧⠀⣿⣿⣿⣿⠟⠋⠙⠻⣿⣿⣿⣿⣿⣾⣿⣿⣿ ⢿⣦⡀⠀⠀⠀⠀⠀⠘⢷⡄⠹⣷⡀⠀⠎⠀⠀⠀⢰⣿⠛⣽⣿⠏⠀⢀⣾⣿⠟⣴⣿⡿⠻⣿⣿⣆⠘⢿⣏⢿⠀⠙⣿⡟⢻⣿⡆⢹⣿⣿⡟⠀⠀⠀⠀⠈⢻⣿⣿⡿⣿⣿⣿⣿ ⢷⣽⢷⡀⠀⠀⠀⠀⠀⠸⣷⡄⠹⣿⡋⠀⠀⠀⢰⡿⠡⣾⣿⠏⠀⢀⣾⣿⢏⣼⣿⠟⠁⠀⢻⡯⣿⣆⠘⣿⣾⣧⠀⠘⣷⣽⣿⣧⠘⣿⣿⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿ ⠀⠹⣿⣻⣦⡀⠀⠀⠀⠀⠈⣿⡼⠙⣷⡀⠀⣰⡟⣁⣼⣿⡟⠀⣠⣾⣿⣿⣿⣿⠏⠀⠀⠀⠀⣻⣟⣿⣷⣿⣿⣻⣦⠀⢹⣿⣿⣿⣆⣿⣧⢀⣤⣖⣶⣮⣷⣶⣾⣿⣿⣿⣿⣿⣿ ⠀⠀⠈⠻⢿⣿⠶⠾⠛⠻⢿⣿⣿⣴⣝⣿⣀⣿⣽⣿⣿⣿⠀⢠⣿⣿⣿⣿⣿⠟⠓⠛⠛⠉⠉⠉⠹⠟⢿⣿⣿⣿⣿⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣆⣠⣤⣘⣛⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⣾⠋⠀⠀⠀⠀⢀⡈⠈⠙⣿⣿⣿⣿⣿⣿⣿⠃⢀⣿⣿⣿⡿⣻⠟⠀⠀⢀⣀⣤⣤⣤⣤⣄⣜⣻⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⠟⠋⠁⠀⠈⠉⠙⠻⣿⣿⠹⣿⡟ ⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢻⡄⠀⠈⢿⣿⣿⣿⣿⡟⣠⣼⣿⣿⣿⡇⡏⠀⠀⠀⠙⠿⣿⣿⣿⣋⣿⠏⠉⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣧⢹⣷ ⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⢨⣿⣿⣾⣿⢻⡿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⢠⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣇⢻ ⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⣀⣽⣶⣾⣿⣿⣿⣿⢸⡇⣿⣿⣿⠿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⣿⣿⣿⣿⠇⢠⣿⣿⣿⣿⣿⠀⠀⠀⢀⣠⣄⣀⡀⠀⠘⣿⣿⣿⡄ ⠀⠀⠀⠀⠹⣄⠀⠀⢀⣤⣾⠿⠟⠽⣿⣿⣿⣿⣿⣿⣼⠁⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣱⠧⣿⣿⡿⠀⢸⣿⢹⣿⣿⣿⣧⣴⡿⣟⣻⣿⣻⣛⣷⣤⣿⣿⣿⣧ ⠀⠀⠀⠀⠀⠻⡄⣰⣿⣯⠕⢊⣠⠾⠿⠋⠻⣟⠉⣿⣸⠀⣿⣿⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⣠⠤⣤⣴⣿⣾⣿⣿⠃⢠⣿⣿⢸⣿⣿⣿⣿⣿⣟⣩⣿⣻⠶⠶⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠙⣿⣿⣧⡶⠋⠁⠀⠀⠀⠀⠈⢳⣼⣿⢀⣿⣿⡆⠀⠀⠀⣶⠞⣿⣦⣤⣤⣶⣧⠀⠘⣿⣿⣿⣿⡿⠀⣼⣿⣶⣿⣿⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠉⠻⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⢹⣿⠏⠀⠀⠀⠀⠀⠀⠀⢀⣀⣽⣿⣾⣿⣿⣿⣶⡄⢠⣿⢷⣦⣄⣿⡟⠋⠙⠛⠒⢫⡿⣿⣿⠇⣰⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⣠⠾⠟⢿⣿⡿⣿⣿⣿⣿⣿⣿⣷⡌⠟⠻⠶⠾⠛⠀⠀⠀⠀⠰⠋⣰⣿⣿⢠⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡄⠀⢀⣾⣻⣯⡴⠟⠉⠀⣿⣿⠏⠉⠻⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⣾⣿⣿⠋⠀⠀⠀⢸⣿⠋⠀⠀⠀⢤⣿⣿⣿⣿⣷⣄⣀⣀⣐⣶⣤⡀⢸⣿⣿⣷⣿⣿⣿⠟⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡟⠀⠀⠀⠀⢸⡟⢧⠀⠀⠀⠀⠙⠙⢿⣿⣿⣿⣿⡧⣿⣿⡇⠀⠸⣿⣿⣿⣿⣿⠏⠀⢀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⠈⢸⣧⠸⡀⠀⠀⠀⠀⠈⠙⠦⣉⡉⠁⠀⠉⠟⠀⠀⢰⢻⣿⣿⣿⠇⢂⡵⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣄⠀⠀⠀⠙⠳⠿⠃⠀⠀⠀⠀⠀⠀⠈⠉⠓⢦⣀⠀⠀⠠⠞⠉⠹⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠙⠛⠿⣷⣤⡄⠀⠀⠀⠀⠀⠀⢠⡆⠀⠀⠀⠀⠀⠀⣰⣿⠻⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠾⠋⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⢠⣿⡟⢠⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡤⠾⠷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀⠀⣿⣿⠇⣸⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠖⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣆⠀⣾⣿⡿⢰⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣿⣿⠁⣼⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡌⢿⣿⠀⢸⣿⣿ ⠀⠀⠀⠀⠀⢠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠈⣿⡀⢸⣿⣿ ⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⢸⣿⣿ ⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⣿⣿ ⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢻⣿⣿ ⠀⠀⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⣿⣿ ⠀⠀⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⠀⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⢸⣿⣿ ⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⢠⣿⠀⢸⣿⣿ ⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠖⢁⣰⣿⡏⠀⢸⣿⣿ ⠀⠀⠀⠀⠀⠈⠳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⡏⠴⠀⢸⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠦⣤⣄⣀⠤⠤⠤⠤⠐⣚⣤⣤⠴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠂⠀⠀⠀⢀⣀⣀⣀⣀⣠⣤⣤⣴⣾⣿⣿⣿⣿⣿⡇⣾⠀⢸⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠙⣿⠁⠀⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⠀⢸⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠒⠀⢸⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⠀⢸⣿⣿ ⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⠟⠀⠀⢸⣿⣿ ⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⡿⠛⣿⠀⠀⠀⢸⣿⣿
⠀⠀⠀⠀⠀⠀⣿⡀⠘⣧⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠀⢷⠀⠀⠀⠀⣄⣀⣠⡴⠒⠋⠉⠀⠀⠀⠀⠀⠀⠀⢸⢷⡘⣿⣄⠀⠀⠘⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⢷⠀⢸⣦⡀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⢹⡈⡆⠘⡆⠐⠪⢿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠙⢮⣮⢳⣳⡀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡏⠈⢧⠈⡏⠙⣄⠈⠻⣆⠀⠀⠀⠀⠀⠀⠀⢳⣱⡀⢳⡀⠀⠸⡆⠀⠀⠀⣠⡴⠶⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠙⢷⣙⢿⣦⣈⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡧⠤⣜⣦⣹⣄⣀⣻⣦⡹⣦⠀⠀⠀⠀⠀⠀⠈⢣⢻⡀⢳⡀⠀⣧⠀⠀⠚⠁⣀⣠⡤⠤⣤⣤⣾⣿⣭⣭⣽⣿⣟⣒⣀⣙⣦⡿⠿⣿⡏⠙⢳⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⠀⢸⢷⠀⡆⠈⢯⣣⠀⠀⠀⠉⠛⢷⣄⠀⠀⠀⠀⠀⠘⡀⢧⡈⣷⣄⢸⡀⠀⠤⠚⠉⠠⣶⣿⣿⣿⣿⣿⡿⠿⣿⣿⡿⣿⣿⣿⠋⠀⠀⢈⡇⠀⡾⢀⡾⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⡆⢸⡌⢰⠁⠀⠀⠹⣷⣶⣄⡀⠀⠀⠉⠢⡀⠀⠀⠀⠀⠹⡜⢧⠇⠘⠦⣧⡀⠀⠀⢀⣼⢿⣿⣿⣿⣷⠶⢶⣾⠏⠁⠀⠀⠹⠁⠀⠀⠀⢸⠀⢸⢇⡞⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣧⠀⡇⡜⠀⠀⣀⣀⠈⠳⣄⢀⣀⣀⠀⠀⠈⢢⡀⠀⠀⠀⠙⢮⣧⡀⠀⠈⠓⠀⠀⠉⠀⠈⠻⠟⣋⣠⡶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⢰⡿⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⣿⣧⢙⣿⣿⣿⣿⣿⣿⣿⣿⣶⣷⣦⡀⠀⠹⣄⠀⠀⠀⠀⠹⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢣⡟⠀⠀⠀⠀⢀⠟⠀⠀⠀ ⠀⠀⠀⠀⣈⣧⣿⣿⣿⣿⡿⠟⠛⢻⣿⣿⣿⣟⣋⣭⣿⢷⡄⠘⣆⣗⢄⡀⠀⠸⡝⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⢀⣯⠏⡇⠀⠀⠀⠀⡜⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠉⣿⣿⣿⣿⣇⠀⠀⠀⠙⠿⣍⣫⣽⠴⠏⠀⠀⠀⠸⣿⠀⠙⠲⣄⡹⡄⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣾⠏⢰⠃⠀⠀⠀⣴⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⣆⠀⠘⡿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠈⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠋⠀⡼⠀⠀⢀⣼⠇⠀⠀⠀⢰⠀ ⢲⠀⠀⠀⢸⢦⡀⠀⠹⣾⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠹⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⢰⠇⠀⢀⡾⠃⠀⠀⠀⢰⣿⠀ ⠏⠀⠀⠀⢸⡆⠙⠦⣀⠙⣾⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⡎⠀⡠⠞⠀⠀⠀⠀⠀⠁⠀⠀ ⠀⠀⠀⠀⠀⣧⡄⠀⠨⡝⠳⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⠀⠿⠷⠄⠀⢳⢀⠘⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⢒⣾⠃⠀⠀⢸⢸⡄⢿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣼⣏⣠⡴⢶⡆⠀⣿⡇⣾⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠰⠛⠛⣿⠀⠀⣾⠀⠀⣛⡇⣿⣿⡿⠁⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣆⠀⠘⣿⠛⠫⣧⣿⡟⠀⠀⠀⠘⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⠟⠉⠈⠙⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⣄⠀⠈⠙⢲⣄⡿⢠⠀⠀⠀⠀⠀⠹⣷⣄⡀⠀⠀⠀⠀⠀⠈⢻⠟⠋⠁⠀⠀⠀⠀⢠⠌⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠂⠀⠀⠾⣧⣄⢸⠀⠀⠀⠀⠀⠀⠈⠻⣯⠳⢦⣀⠀⠀⠀⠈⣦⠀⠀⠀⠀⠀⠀⠁⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢦⡀⠀⠀⠀⠀⡄⢦⠀⣿⠆⣽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠉⠙⠶⣄⣀⡏⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⡗⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⠟⠿⣿⣿⠃⠀⠀⢀⡆⠀⠀⠀⠀ ⠀⠀⠙⠂⠀⢀⢠⡇⢸⡆⣏⡾⠋⠀⢛⣛⡛⣇⠀⠀⠀⣠⣀⣈⣧⠤⠴⠶⠼⠿⣄⡀⡀⠀⠀⠀⠀⠀⣴⡿⠋⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⠃⠀⠀⠀⠙⠦⣄⠀⡾⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⢸⠁⠸⣷⣿⡆⠀⠀⠾⠟⠹⡿⠆⠀⣰⣿⣿⣿⣦⣤⡀⠀⠀⠀⠀⠙⢧⡠⠀⠀⠀⣸⠃⠀⠀⠀⠀⣀⡴⢿⣿⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠈⢻⠃⡰⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⡞⠀⣠⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠈⢡⡀⠀⢰⣏⠓⡶⣤⡴⠞⠉⠀⠸⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⢀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣿⡷⠋⠁⢸⣿⣿⡀⠀⢀⣀⣀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠙⢶⣷⡙⠟⡽⠋⠀⠀⠀⠀⠀⢿⣿⠀⠀⠀⣸⠀⠀⠀⠀⠀⡼⠀⣾⠀⠀⠀⠀⠀ ⠀⣀⣴⣿⣿⣿⡀⢀⣄⣸⠿⠟⠉⣉⠥⠶⠒⠂⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡹⣷⣶⠃⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⣏⡤⠀⠀⠀⢸⠃⡼⣿⠀⠀⠀⠀⠀ ⢟⠿⠋⢁⣠⠤⠍⢸⡑⠒⢤⣼⡍⠀⠀⠀⠀⠀⠀⠀⠙⠯⣟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣬⣛⠦⣤⣀⠀⠀⠀⠀⠹⡄⠀⠀⠈⠀⠀⠀⢰⢇⡜⠁⡇⠀⠀⠀⠀⠀ ⠁⢀⡔⠉⠀⠀⠀⠸⢷⠦⠸⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠉⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣝⡳⢦⡀⠀⠀⠻⡄⠀⠀⠀⠀⢠⢯⠞⠀⠀⠃⠀⠀⠀⠀⠀ ⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢄⣤⠆⠀⠀⠀⠀⠙⢦⠀⠀⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣄⠀⠀⠹⣄⠀⠀⢠⣿⠋⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⡪⠗⠉⠀⠀⠀⠀⠀⠀⠀⠀⠱⣄⠀⢀⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⠝⣆⣠⡟⠁⠀⢀⠀⠘⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣾⢏⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡁⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⣸⣯⣀⡤⡞⠑⠀⠀⠀⠀⠀⢀⠀⠀ ⠀⠀⢀⠀⣀⠀⠀⠀⣀⡐⠋⢁⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⠀⠀⢙⣤⢀⠀⢀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣿⣿⣿⣿⠁⢀⣾⡳⠟⢇⣈⣠⠴⠖⠀⠀⠁⠀⠀⠀⠀
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⠀⠀⢀⣴⠟⣋⡉⠭⠭⣽⣿⣿⠿⢿⣿⣛⣶⡺⢿⣿⣿⣿⣷⡞⠻⣇⢀⣠⣤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠞⠀ ⣴⡿⢋⣵⠋⣁⡴⣏⡉⠑⠂⢁⣴⢀⣹⢀⢀⡙⠿⣟⣿⣿⡿⢶⣿⣻⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠞⣰⠞⣾⢟⣀⣼⡷⠲⣖⣒⡚⠓⠬⠽⣦⡀⢠⠘⡉⠛⢿⣶⣿⣿⡷⣖⣲⠄⠀⠀⠀⠀⣀⡤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢦⡀⠀⠀⠀⢀⡖⠀⠀⠀⠀⠀ ⡇⣼⠃⢀⣿⣿⠁⠀⠉⠑⠦⣄⡈⢩⠖⠢⣄⡙⠙⠳⢿⣦⣄⠈⠻⣿⣽⣷⣝⢷⡀⣠⠖⠋⠀⠀⠀⠀⠀⠲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡸⠛⠦⡤⠾⣅⠀⠀⠀⠀⠀⠀ ⡗⠙⣾⡿⣏⠙⢧⡀⠀⠀⠀⠀⣹⠳⡎⠀⠀⠙⠲⣤⣀⠈⠛⠳⣌⢜⢿⣿⣟⢿⡧⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⠙⠺⢶⣄⡀⠀⠀⠀⠀⠀⢰⠏⣰⠆⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀ ⢇⣤⡏⡇⣿⠀⠀⠙⢦⣄⠀⠀⠉⠁⠙⢦⣄⣤⣖⡠⢌⣉⠓⠒⠀⣰⡖⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠙⢿⣤⡀⠀⠀⠀⣟⡾⠃⠀⠀⠀⠀⣠⡿⠀⣀⠀⠀⠀ ⠀⢻⡇⢧⠛⠀⠀⠀⠀⢈⡓⠲⠤⢤⠀⠈⢧⡉⠛⠛⠷⢾⣿⡟⢺⠁⠰⡄⠹⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠙⢿⣿⣶⣾⡇⠀⠀⠀⠀⠀⣠⡛⠁⢀⡎⢧⡀⠀ ⠀⣜⣿⡈⠀⢸⡀⠀⠱⡄⠀⠀⠀⠈⢳⡄⠘⣷⠀⣠⠀⢀⣾⣷⡘⡎⠸⣿⡄⣿⣦⠀⠀⡀⠀⠀⠀⠀⠀⠀⢸⣄⣀⠀⠀⠀⠀⠈⠻⡟⢻⡇⠀⠀⠀⠀⣴⡿⠁⣰⣿⠟⢋⣿⡯ ⠁⢿⣫⣇⠀⠀⡇⠀⠂⠈⢀⠀⢆⡄⠀⢻⢠⣷⠞⣡⣶⣿⡽⠁⢳⣧⣀⢻⡽⡼⡗⣧⢰⠃⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠐⢲⣿⣼⠀⠀⠀⢀⣾⠟⠀⠐⠛⣉⣠⣾⣿⣿ ⡀⣇⡹⡿⡄⠁⢸⠀⠀⢣⠘⡆⠘⡆⠀⣿⠘⣟⠰⠿⠛⠃⠀⠀⠈⣿⢻⠸⣷⣷⠁⠛⡛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡿⠷⢤⣄⢀⣿⣃⣤⢶⠾⠋⠉⠉⢭⣉⣛ ⢻⡘⣏⠧⠙⣆⢸⠀⢣⡀⢣⢹⡀⢹⠀⣿⠀⠹⠀⠀⠀⠀⠀⠀⠀⠘⣏⣧⣿⠏⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣀⠀⠀⠈⠙⣿⠿⠿⣮⣀⠀⠀⠀⠀⠀⠉ ⢸⣷⡈⢳⡀⢎⣾⣀⠈⢷⡀⡜⡇⢸⣴⣧⠀⠀⠀⠀⠀⠀⠀⣠⣤⡄⢹⢷⣛⡆⣴⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣟⣡⡾⢯⣧⠀⡀⠀⢹⡄⠀⡄⠈⠙⢶⣤⡀⠀⠀ ⡏⣿⣷⡈⣇⣼⣇⠈⠳⢬⣷⣱⣷⠿⠿⠁⠀⠀⠀⠀⠀⢠⣾⣿⡿⠃⣼⠤⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠉⠀⠀⣰⠇⣰⡇⡀⣼⡇⠀⡇⠀⠀⠀⠈⠛⢦⣄ ⠻⣼⣿⣷⡼⡄⠀⠛⣦⣔⣈⣻⣿⣴⣄⡀⠀⠀⠀⠀⠀⣈⣩⠭⠤⠞⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⢋⣼⡿⢁⣷⠘⡏⢰⠇⠀⠀⠀⠀⠀⠀⠙ ⢀⠻⣿⣿⡿⡆⢠⡀⠈⠻⣿⣿⣿⣿⣿⣻⡿⠗⠋⣉⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡟⣡⣾⢿⠇⣾⢻⠀⡇⡼⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠀⠹⣿⣧⣿⣎⠳⣄⠀⠈⠻⣿⣾⣿⣿⣛⡛⣋⣉⠽⠶⠦⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠤⠴⢿⣿⠖⠛⠁⣞⣾⠏⣈⡼⢣⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⠙⠿⠏⠉⠳⢮⣳⢦⣄⣐⠿⠿⠯⡟⠛⠉⠀⠀⠀⠀⠀⢻⡈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⡰⠋⠀⠀⣠⣴⢿⣥⣶⠟⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢷⡈⠳⣜⡀⠀⠀⠀⠉⠁⠁⣙⠿⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢦⣤⡀⠀⠀⠾⠋⣁⣾⠟⠉⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡄⠀⠙⢦⡈⠙⠦⣄⠀⠀⠀⠀⠈⠳⣄⠈⠳⣄⠐⢦⡀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢠⡆⠀⠀⠀⣠⠀⠐⡆⠀⠈⠱⠙⠛⣿⠟⠋⠉⠀⠀⣔⢦⣤⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣦⠀⠀⠙⢦⡀⠈⢇⠀⠀⠀⠀⠀⠈⠃⠀⠊⢷⣄⠙⢦⣀⠀⢰⡧⠀⠀⠀⠀⠀⠀⢸⡇⠀⢰⣄⢹⠀⢠⣷⠀⠀⠀⠀⣸⡟⢦⡀⠀⠀⢀⣈⣿⣝⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠻⣿⣷⣄⠀⠀⠙⢦⡈⢦⡀⠀⠀⠀⠀⠀⠀⠀⣙⠿⣷⣄⠘⠆⠈⢻⡀⠀⠀⠀⠀⠀⣼⠀⠀⠘⣿⡿⣤⡾⢻⣦⣤⣴⣾⠥⠤⠶⠓⠚⠉⠉⠁⠈⠙⠳⢽⣦⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⣿⣷⣄⠀⠀⠱⣄⠹⣆⠀⠀⠀⠐⠀⠀⠉⢷⣽⣿⣷⣄⠈⢾⣷⣄⡀⠀⠀⣰⡟⢧⣀⣰⠃⣇⣸⣾⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⢾⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⢿⣿⣷⣄⠀⠈⠳⣌⠳⡄⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣷⣄⠙⢿⣿⣷⣿⣯⠀⠘⣯⣏⢀⣿⣿⣿⣿⣿⡀⠙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢿⣿⣷⣤⠀⠈⢷⡀⠀⠀⣀⣾⣿⣿⣿⣿⣿⣯⡻⣿⣷⣄⢻⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⡿⡇⠆⢹⣄⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣤⡀
⠀⠀⠀⣀⢸⣶⡟⣱⣿⣿⡿⠟⠛⠉⢠⡞⡴⠃⠀⠀⣠⣾⣿⣿⣿⣿⡿⢛⣩⣴⣶⣶⣾⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⠀⠀⠀⢹⠀⢠⢺⡄⠀⡄⢳⣄⣿⠀⠠⡔⡆⠀⠀⠀⠀ ⠀⣤⣾⡿⠯⠻⣿⣿⣮⡙⣦⡀⠀⢲⠿⣾⣥⣠⣤⣾⣿⣿⣷⣿⣿⠷⠟⠛⠋⢩⣿⠋⣰⣿⣿⣿⢿⠟⣩⡟⣿⢻⣿⠇⠀⢰⣄⢸⡄⢸⠀⣷⡀⡇⠈⢻⣿⡄⠀⢿⢹⡄⠀⠀⠀ ⣿⣿⣿⣿⠷⣄⡈⠻⢮⣷⡈⠻⣦⢟⡾⠁⢀⣴⣿⢿⣿⣿⠋⠀⠀⠀⠀⠀⣴⡿⠁⢠⣿⣿⡿⢡⣟⣼⠟⠀⡿⢸⡟⠀⢇⡀⠻⠈⡇⢘⡆⠸⣷⠇⡀⢸⣿⣇⠀⠈⣇⠑⠀⠀⠀ ⣿⣿⡿⠁⠂⠀⣉⣷⣦⠄⠻⣦⢈⡾⢁⣴⣿⠟⢡⣿⡿⠁⠀⠀⠀⢀⢠⣾⣿⠇⢠⣿⣿⠏⠀⣼⡿⠃⠀⠀⡇⠘⡇⠀⡌⣿⠀⢀⣧⢸⣿⡀⠸⠀⡇⠈⣿⢹⡆⠀⠸⣦⡀⠰⡄ ⣿⣻⠇⠀⣠⣶⣷⠶⠬⣭⣿⣷⣿⣷⣿⣿⣵⣾⣿⡟⠁⠀⠀⢀⣴⣿⣿⣿⠏⢠⣿⣿⡁⢀⠴⠋⠀⠀⠀⠀⡇⣰⡇⠀⢠⠈⣇⠘⠀⢸⣏⢧⠀⢀⡇⠀⣿⠘⣿⡀⠀⠻⢧⡀⠘ ⣿⠏⣠⣾⣿⣿⠋⠀⣴⣿⢿⣣⣿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣴⣿⣿⣿⣿⡏⣰⠏⠹⣽⣿⣮⣷⣄⡀⠀⠀⠀⡇⣿⢧⠀⢸⡇⠘⠀⠀⢸⣿⡈⣧⢸⡇⠀⣿⠀⢹⣷⠀⠰⡎⠳⡄ ⢋⣴⣿⣿⣿⠃⣠⣾⣿⣵⣿⣿⠟⠋⠉⠀⣼⡏⠀⢀⣴⣿⣻⣿⣿⡿⡟⣴⠃⠀