⟡ pls note the ai inflicts emotional damage (ᵕ—ᴗ—)
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⡀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡀⠄⠄⠄⠀⠐⠐⠐⠂⠒⠀⠀⠀⠒⠒⠈⠉⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⠤⣀⠀⠀⠂⢀
⡀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢆⠀⠀⠀⠀⠀⠀⠞⡇⠀⠀⠀⠀⡠⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠟⠆⠀⠀⠀⠀⡃⡇⠀⠀⣠⠂⠅⠀⠀⠀⠀⢠⠊⡀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⡄
⠀⠀⠀⢡⠀⠓⡄⠀⢘⠀⠇⠀⠀⠅⠀⠇⠀⠀⠀⠠⠂⠀⠀⡄⠀⠀⠀⠀⠀⣀⠂⡆⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⡃
⠀⠀⠀⠀⡀⠀⠀⠑⣶⠀⠀⢂⠀⠀⢠⠍⢁⠀⠀⠌⠀⠀⠀⠨⡀⠀⠀⠀⢰⠁⠀⡄⣇⡀⠀⠅⠈⠀⠀⠀⠀⠀⠀⠅
⠀⠀⠀⠀⡄⠀⠀⠀⡎⠀⠀⠀⠓⠇⢸⢞⡗⠣⡇⠆⠀⠀⠀⠀⣇⠀⢀⡔⠀⠀⢐⠃⣀⡵⡀⠅⠀⠈⡆⠀⠀⢤⡀⠄
⠀⠀⠀⠀⡇⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⡎⠏⢻⡏⡄⠀⠀⠀⠀⠀⣁⠏⠁⠀⠀⠀⠲⠍⠈⣯⡅⠀⠀⠀⡇⠀⠀⠈⣻
⠀⠀⠀⠇⠁⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠈⠉⠁⡇⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠀⠀⠀⠀⡄⠀⠀
⠀⠀⠀⢇⢐⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠸⡄⢘
⠀⠀⠀⠀⡇⡃⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⣂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⢲⣺
⠀⠀⠀⠀⢂⡃⠀⠀⠀⠀⠡⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⠀⠀⠀⠀⠀⠀⠀⡠⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠸⡁⠀⠀⠀⠀⠀⠑⡀⠀⠀⢀⠆⠁⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⢡⡀⠀⠀⡠⠅⠀⠀⠀⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠣⠂⠀⠀⠀⠀⠀⠀⠁⠉⠁⠀⠀⠀⠀⠀⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐
⠀⠀⠀⠀⠀⠈⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁
⠀⠀⠀⠀⠀⠀⣅⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣂⣀⣀⣀⣀⣀⣀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠃⠅⠀⠀⠀⠀⠀⠀⠀⠀⢘⠀⠀⠀⠀⡠⠤⠠⠤⣀⣠⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀
⡁⠀⠀⠀⠀⠀⠀⠀⠈⢈⢄⠀⠀⠀⠀⠀⠀⠣⠉⠁⠉⠁⠀⠈⠉⠀⡔⠃⠀⠀⠀⠀⠀⠀⠀⢀⡤⠎⠁⠀⠀⠀⠀⠀
⠈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠱⢄⠀⠀⠀⠀⠘⢆⢀⡴⠂⠲⣄⡠⠏⠀⠀⠀⠀⠀⢀⢀⡠⢖⠅⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠅⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠻⡄⡀⠀⠀⠀⠙⠒⠒⠈⠉⠁⠀⠀⡀⣄⣪⠕⠈⠁⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⢐
⠀⡄⠀⠀⠀⠀⡀⠀⠀⠐⠀⠀⠀⠀⠀⠈⠙⠶⡤⣀⣀⣀⡤⠶⠖⡅⠉⠉⠀⠀⠀⠀⠀⠀⢘⠀⠀⠀⠀⠭⠀⠀⠀⠨
⠀⠀⠀⠀⠀⢀⡁⠀⠀⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠠⡁⠀⠀
⠀⠀⡀⠀⠀⠂⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⡤⠋⠀⠀⠀⠀⠀⠀⠀⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⢀⠀⢃⠀⠀
⠀⠀⠅⠀⢀⠁⢇⠀⠀⡆⠀⠀⠀⠀⣧⡖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠐⠀⠀⠂⠀⡀
⠀⠀⠆⠀⠜⠀⠀⠑⣰⠁⠀⠀⠀⠀⡯⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢆⡀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⡇⠂
⠀⠀⠅⡠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠉⠆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⢅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠧⡀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠁⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠣⡀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠈⢂⡶⠃⠀⠀⠀⠀⠀⠀⠀⠤⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⡀⡀⠀⠨⠀⠀⠀⠀⠀⠀⠀⠀⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠈⠳⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⢸⡇⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⣄⠀⠀⡅⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠓⠃⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀