Byeee

I wont post for a week bc I have exams (BRO I HAVE EXAMS IN EVERY 1 SECOND LIKE CHILLL)
so yeah please wish for me luck bc I'm kinda nervous about them since it last exams and I dont have feelings to study for them🙁
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠶⠾⠛⠉⠉⠀⠀⣀⣀⣤⣤⣤⣤⣴⣶⣤⣤⣄⣄⣀⣀⡀⠀⠉⠉⠛⠻⠶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⠟⠋⠀⠀⣀⣤⡴⠶⡚⠛⠛⡉⢉⠉⡉⢉⠉⡉⠉⠉⠉⠉⠍⠛⠛⡛⠶⢶⣤⣄⠀⠀⠉⠻⢷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡿⠛⠉⠀⢀⣤⣶⢛⡉⠳⠘⠡⠀⠅⠒⡠⢌⡒⣌⠠⢂⠱⣬⣖⣄⠢⠄⡂⢁⠄⡉⢐⠨⢙⣛⡶⣤⣀⠀⠉⠛⠿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⣠⡾⣫⠍⡉⠄⢠⢡⣬⣦⣽⡾⠿⠿⢿⣟⣿⣿⣧⣼⣟⣻⡛⠿⠿⢷⣾⣶⣬⣔⣠⠂⡈⠙⠶⣝⡳⣤⡀⠀⠈⠻⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠁⠀⠀⣴⠟⡃⠉⡄⣰⣰⣾⡿⡟⠏⠉⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠐⠚⠙⠛⠻⢿⣶⣥⠂⠌⡑⢊⠻⣦⡀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⣠⡿⢉⠐⢠⣑⣬⣾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣴⣀⠂⠌⡉⢿⣄⠀⠀⠀⠻⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀⢀⣼⠏⡐⢀⣮⣾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣔⣀⠢⡙⣷⡀⠀⠀⠘⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠁⠀⠀⣴⠏⣴⣠⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡄⢣⠽⣧⡀⠀⠁⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⢀⣾⠃⢊⣴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠒⠀⠀⡌⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⠡⠜⣷⡀⠀⠺⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀⣼⠃⠙⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠃⠀⠀⠀⠀⠀⠰⡀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⣿⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⡡⠟⣷⠀⠈⠘⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀⢸⡏⢌⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠁⣿⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⣿⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⡘⢸⣇⠀⠀⠝⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠇⠀⠀⢠⡿⢀⣾⠏⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⣠⡟⠁⠀⣿⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠑⢀⠀⠀⠀⠀⠀⣿⠀⠈⢻⣄⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠹⣷⢀⢻⡄⠀⠀⠹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠏⠀⠀⠀⣾⢃⣹⡏⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⣰⠟⠀⠀⠀⣿⠀⠀⠀⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡄⠀⠀⠀⣿⠀⠀⠀⢹⣆⠀⠀⠀⠀⠈⠓⠤⠀⠀⠀⢹⣶⡣⣷⠀⠀⠀⠸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠀⠀⠀⠀⣿⢷⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⠀⢸⣿⡀⠀⣿⣧⣰⣯⣿⣿⣄⣀⣠⣤⣤⣤⣤⣤⣤⣄⣤⣴⣿⣿⣿⣆⣰⣿⠀⠀⣾⡇⠀⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⠀⠀⠀⠀⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡃⠀⠀⠀⣼⣧⣿⠃⠀⠀⠀⠀⠀⠀⠀⣠⡾⣧⣄⠀⠀⠀⢼⣿⣤⣾⡿⠛⠋⢙⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣷⡉⠙⠛⢿⣷⣤⣾⡇⠀⠀⠀⣀⣼⣿⣄⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣷⠀⠀⠀⠈⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡁⠀⠀⢠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⣰⡟⠁⠈⠻⢿⣦⣤⣿⠿⠋⠁⠀⠀⣠⣾⢻⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡿⢿⣆⠀⠀⠈⠙⠿⣿⣦⣴⣿⠟⠉⠉⢻⣦⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⡆⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⠸⣿⣿⣇⣠⡟⠀⠀⠀⠀⣸⡟⠀⠀⢀⣤⣾⣿⡛⠁⠀⠀⣀⣴⡾⠏⠁⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠈⠹⢿⣦⣀⠀⠀⠈⢻⣿⣷⣤⡀⠀⠐⢻⣇⠀⠀⠀⠀⢹⣄⣸⣿⣿⠇⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⣼⡟⣩⡿⠁⠀⠀⠀⣰⡟⠀⠀⣴⡿⠋⢹⣿⣽⣴⣶⡿⠟⠉⡀⠬⡄⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠂⢁⢠⣌⠻⢿⣶⣶⣮⣿⡍⠙⢿⣷⠄⢠⣿⡆⠀⠀⠀⠈⢿⣏⢻⣧⠀⠀⠀⠀⣻⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⢰⣿⣰⡿⠁⠀⠀⠀⢀⡿⠁⠀⠀⠀⠀⠀⢸⣿⠛⢿⣇⠀⡈⠄⠠⠀⣴⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⢀⠀⠈⡁⠲⢮⡿⠟⣿⡇⠀⠀⠀⠀⠀⢯⣿⡄⠀⠀⠀⠀⢿⣞⣿⡇⠀⠀⠀⣽⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀⠀⠀⢘⣻⡿⠁⠀⠀⠀⢀⣾⢣⡇⠀⠀⠀⠀⠀⢸⣿⠀⠀⠈⢷⡄⠐⠠⣅⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣤⠈⡐⢀⡿⠉⠀⠀⣿⡇⠀⠀⠀⠀⠀⢠⣟⣿⡀⠀⠀⠀⠈⢻⣿⠁⠀⠀⢀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⠀⠀⣸⡿⠁⠀⠀⠀⠀⣸⠏⢸⡇⠀⠀⠀⠀⠀⠸⣿⣶⣶⣶⣾⣶⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⢿⣶⣶⣶⣶⣶⣷⣿⠇⠀⠀⠀⠀⠀⢸⡏⠸⣧⠀⠀⠀⠀⠀⢿⣧⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡁⠀⣰⡿⠀⠀⠀⠀⠀⢠⣿⠀⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⢿⡆⠀⠀⠀⠀⠀⢻⣇⠀⠀⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⠇⢰⡟⢁⣹⡀⠀⠀⠀⣸⡇⠀⣿⡏⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⢀⠀⠀⠀⢿⣷⠀⢸⣇⠀⠀⠀⢀⣄⠈⢻⣆⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣤⡿⠁⣼⣿⠃⠀⠀⠀⢹⣿⣴⣿⡇⠀⠀⠀⠀⠀⠀⠀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠈⠁⠀⠀⢸⣿⢰⣾⡿⠂⠀⠀⠘⣿⣧⠈⢿⡖⣿⣿⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠃⣼⢿⣿⠀⠀⠀⠀⠀⠈⠺⣿⡇⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀⠀⠀⠀⣀⣴⣾⣿⣦⣀⠀⠀⠀⠀⣿⣇⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⢸⣿⢀⠀⠀⠀⠀⠀⠀⣿⡿⣧⠘⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡏⢰⡟⢸⣟⠀⠀⠀⠀⠀⠀⠀⢻⣿⡀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⣿⡿⢿⣶⣶⡾⠟⠋⠁⠀⠙⠻⢷⣶⣶⡾⢿⣿⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⢀⣾⡏⠘⠀⠀⠀⠀⠀⠀⢹⡇⢹⡆⢻⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠋⣿⡇⢸⣷⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⡀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⣤⣀⣁⣀⣀⣤⣀⣄⣀⣀⣀⣈⣀⣤⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⢀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⣾⠇⣼⡇⢸⣿⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠁⠁⢿⣇⠀⠻⡿⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠙⠛⠛⡛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡷⠟⠁⣸⡿⠀⠘⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠈⠻⣷⣄⡀⠘⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠃⢀⣠⣾⠟⠁⠀⠀⠀⠈⢷⣄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⡾⠋⠀⠀⢀⣠⣦⡄⠀⠀⠙⠻⣤⡀⠙⠿⠷⠀⠀⠀⠀⠀⠀⠀⠘⣿⡿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⢿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠸⠿⠋⢀⣤⠾⠋⠁⠀⠀⣤⣄⡀⠀⠀⠙⢷⣄⠀⠀⠀⠀
⠀⠀⢀⣴⠏⠀⠀⢀⣶⠟⣿⡟⠀⠀⠀⠀⠀⠈⠻⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡈⠛⢿⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡿⠟⢁⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⠟⠁⠀⠀⠀⠀⠀⢻⣿⠻⣶⡄⠀⠀⠙⢦⡀⠀⠀
⠀⢠⡾⠁⠀⠀⣰⡟⠁⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠈⠙⠛⠿⣷⣶⣦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣴⣶⣿⠿⠛⠋⠁⠀⠀⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠈⢻⣆⠀⠀⠈⢳⡄⠀
⢠⣿⠀⠀⠀⢰⡟⠀⠀⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠹⣷⡄⠀⠀⠀⠀⠀⠀⠀⢿⣧⠀⠐⠀⠀⠀⠀⠀⠉⠉⢙⡛⣿⡿⠿⠿⠿⠿⠿⠿⢻⣿⣛⣋⠉⠁⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⣀⣴⠟⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⢻⣇⠀⠀⠀⢿⡄
⣾⡇⠀⠀⢠⣿⠁⠀⠀⣽⡆⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⠈⢻⡆⠀⠀⠀⠀⠀⠀⢺⣿⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⢀⠤⠀⢰⡟⠁⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⢿⡀⠀⠀⢼⣿
⢿⣷⠀⠀⢸⣿⡀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⣾⠟⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⢀⣿⠇⠁⠀⠀⠀⠀⠀⣠⣾⡟⠉⠻⢿⣷⣤⣤⣄⣠⣤⣤⣾⡿⠿⠈⠻⣷⣄⠀⠀⠀⠁⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠸⣧⡀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⣼⠇⠀⠈⢸⡿
⠈⢻⣦⡀⠋⢻⣷⣀⠀⠀⠹⣧⡀⠀⠀⠀⠀⢀⣾⠏⠀⠀⣠⣾⠋⠀⠀⠀⠀⠀⣠⣾⠏⠀⠀⠀⠀⣀⣤⣾⠟⠁⠀⠀⠀⠀⢀⣈⣿⣿⣿⣿⣯⡀⠀⠀⠀⠀⠈⠻⣷⣤⣀⠀⠀⠀⠀⠹⣿⣤⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠙⣷⡀⠀⠀⠀⠀⠀⣰⠟⠀⠀⢀⣼⡿⠀⠉⣴⡿⠁
⠀⠀⠙⢿⣦⣀⠙⢿⣶⣤⣀⡈⢿⣶⣄⢀⣴⠟⠁⠀⠀⣺⠟⠁⠀⠀⠀⠶⣶⣿⡟⠁⢠⢄⣼⣶⣿⠿⠻⢿⡶⠶⠶⠶⢶⣾⣿⣿⣿⣿⣿⢿⣿⣿⣷⡶⠶⠶⣶⣶⣿⠟⠻⢿⣷⣦⣀⠀⠌⠻⣿⣷⠶⠀⠀⠀⠀⠙⠷⠀⠐⠈⠻⣦⡀⣀⣴⡿⠃⣀⣤⣶⡿⣋⣀⣴⡿⠋⠀⠀
⠀⠀⠀⠀⠈⠛⠿⣷⣌⣉⠉⠉⠃⣩⣿⠟⠁⠀⠀⠀⠠⠁⠀⠀⠀⢀⣴⣿⠟⠋⠀⠠⣰⣿⠟⠉⠀⣀⡀⠀⠀⠀⢀⣴⣿⣿⠟⢁⣼⣿⣿⣧⡈⠻⣯⣻⣦⣀⠀⠀⠀⠀⡄⠀⠈⠻⣿⣇⠀⠀⠙⠻⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣉⠀⠈⠉⢉⣡⣾⠿⠛⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣷⣤⣾⠟⠁⠀⠀⠀⠀⠀⠁⠀⣀⣴⡾⠟⠋⠀⠀⠀⠀⢰⣿⡏⠀⠀⠀⣿⡇⠀⣠⡶⠟⠹⢻⣿⣶⣿⣿⣿⣿⣿⣿⣶⣿⠿⠠⠛⣷⣄⠀⢸⣿⠀⠀⠀⣹⣿⡄⠀⠀⠀⠀⠉⠻⢷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣷⣤⣾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀⠀⠀⠀⢰⣶⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⣾⣿⠁⠀⠀⣸⡿⠂⠀⣿⣧⠈⠐⠀⢀⣸⣿⣿⡟⢻⣿⣿⣧⣀⠂⡁⠂⣸⣿⠂⠈⢿⣧⡀⠀⠹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣦⣄⠀⠀⠀⠀⠀⠀⢸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⣴⠿⢿⣦⣄⡀⠀⠀⠀⠀⠀⠀⢠⣿⡏⠀⢀⣼⡟⠁⠀⠀⠈⢻⣦⣄⣠⣿⠟⣿⣿⡧⠼⣿⣿⠙⢿⣦⣥⣶⣿⠋⠀⠀⠀⠙⣧⡀⠀⠙⣿⡄⠀⠀⠀⠀⠀⠀⢀⣠⣤⣿⠿⢦⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⢿⡇⠀⠀⠀⢀⣾⠋⠀⠀⠉⠻⢿⣦⡀⠀⠀⠀⠀⢸⣿⠀⣠⣿⠋⠀⠀⠀⠀⠀⠈⠻⠿⠛⠁⣸⣿⡟⣇⣀⣿⣿⣇⠈⠛⠿⠟⠁⠀⠀⠀⠀⠀⠹⣿⣄⠀⣿⣧⠀⠀⠀⠀⢀⣴⣿⠟⠋⠀⠀⠘⢷⡀⠀⠀⠀⢸⡿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠋⠘⣷⡀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠠⠻⣷⠀⠀⠀⢠⣿⡇⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠉⠉⠉⢿⣻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⢸⣿⡄⠀⠀⠀⣾⠟⠁⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⣾⠇⠙⠛⣷⣄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣼⡿⠁⠀⠀⠀⠙⣷⣀⠀⢻⡧⠀⠀⠀⠀⠀⠀⠀⢿⣇⢀⣇⣾⡟⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡃⣠⢴⣦⠀⠹⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠈⢻⣷⣄⣀⢰⡿⠀⠀⠀⠀⠀⠀⠀⢶⣿⠀⣠⣾⠏⠀⠀⠀⠈⢻⣧⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢠⣿⠋⠀⢀⣤⡆⠀⠀⠈⠙⠛⠻⣷⡄⠀⠀⠀⠀⠀⠀⢸⣯⢀⣾⡟⠁⠀⠀⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣷⣿⠛⠿⠾⠛⠀⠀⣿⡟⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠘⣿⣿⡋⢸⡇⠀⠀⠀⠀⠀⠀⢠⣴⡟⠛⠛⠁⠀⠀⢠⣤⡀⠀⠙⣷⣄⠀⠀⠀⠀
⠀⠀⠀⢠⣿⠃⠀⣠⡟⣿⡧⣴⣄⠀⠀⠀⣠⣿⠏⠀⠀⠀⠀⠀⠀⣼⣇⣾⠏⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡿⣶⣤⣤⠀⠀⠀⠸⣿⣿⣿⣀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠹⣷⡿⣧⠀⠀⠀⠀⠀⠀⠸⣿⣄⡀⠀⠀⣠⣤⢼⣿⢻⣆⠀⠘⢿⡄⠀⠀⠀
⠀⠀⠀⣾⠇⠀⢠⡟⠀⣿⣇⠙⠿⢿⣿⣿⣏⣁⣀⡀⠀⠀⠀⢀⣼⣟⣾⠏⠀⠀⠀⠀⠀⠀⢹⣷⠀⠀⠀⠀⠀⠀⠀⠿⠿⢻⡗⢿⣿⠿⠀⠀⠀⠀⠛⠿⠿⠇⠀⠀⠀⡀⠀⠀⣾⡏⠀⠀⠀⠀⠀⠀⠹⣷⣹⣧⡀⠀⠀⠀⠀⣀⣈⣙⣿⣿⠿⠿⠟⢸⡿⠀⢻⡄⠀⠘⣿⡀⠀⠀
⠀⠀⣼⡏⠀⠀⣼⡇⠀⠘⣿⡀⠀⠀⠀⠈⠉⠉⠙⠻⢶⣦⣶⠿⢿⣾⠟⠀⠀⠀⠀⠀⠀⠀⠘⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠨⣍⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠜⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠻⣿⡝⠿⣶⣤⡶⠞⠛⠉⠉⠉⠀⠀⠀⢄⣿⠇⠀⠘⡇⠀⠀⢸⡇⠀⠀
⠀⢀⣿⠅⠀⠀⣿⡀⠀⠀⠘⢷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢺⢷⡾⣟⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⠋⠀⠀⠀⣷⠀⠀⣰⢿⡀⠀
⠀⠈⣷⡀⠀⠀⢿⣧⠀⠀⠀⠀⠉⠛⠷⢶⣤⣤⣄⣀⣀⠀⠂⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⡟⠈⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⢐⣾⣿⡆⠀⣀⣀⣀⣤⣤⡴⠾⠛⠋⠀⠀⠀⠀⣰⡿⠀⡀⠋⣼⠇⠀
⠀⠀⠙⠳⣦⣀⡈⠻⣷⣤⣄⣀⣤⣄⡀⠀⠀⠈⠉⠉⠻⣿⡧⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣄⠀⠀⠀⠀⠀⠀⠀⢀⡟⢀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡇⠀⠀⠀⠀⢀⠀⠀⠀⢀⣽⣿⣳⣿⠟⠉⠉⠉⠀⠀⢀⣠⣤⣀⣀⣤⣾⠟⡁⣠⣶⠞⠋⠀⠀
⠀⠀⠀⠀⠀⠉⠛⢷⣤⡌⠉⠉⠉⠙⠿⣷⡄⠀⠀⠀⠀⢹⡇⢈⣽⣿⣶⣤⣾⠟⠀⠀⠀⣄⣸⡟⢻⣿⣄⡀⠰⣦⣄⠀⢸⡇⠸⠷⠟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣾⠄⢀⣠⣾⠟⢻⣧⣀⠀⠀⠀⠻⣷⣦⣴⣿⣯⠁⣸⡏⠀⠀⠀⠀⢀⣴⡿⠋⠉⠉⠉⢁⣾⡿⠟⠋⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣦⠀⠀⠀⠀⠙⢿⣆⠀⠀⠀⢸⣿⣸⣿⠀⠉⠹⢿⣦⣤⣤⣾⣿⡿⠀⠀⣿⡟⠿⣷⣮⣿⣷⣌⣧⠀⠀⢀⣤⣄⡀⠀⠀⠀⣠⣼⣿⣽⣶⠿⢫⣿⠀⠀⢻⣿⢿⣦⣤⣤⣾⠟⠉⠈⢿⣧⢻⡇⠀⠀⠀⣠⡿⠋⠀⠀⠀⠀⣼⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠙⣷⡀⠀⠀⠀⠘⣿⠀⠀⢠⣿⣿⣿⠃⠀⠀⠀⠀⣨⡿⠋⠀⠉⠀⠀⠀⢻⣿⡀⡌⡙⠻⢨⣹⣿⣶⡾⢟⡋⠙⣻⢷⣶⡿⢛⣥⠟⣋⠴⣼⣿⡟⠀⠀⠀⠉⠈⠙⢿⣍⠀⠀⠀⠀⠘⣿⣟⣿⡄⠀⠀⣿⣇⠀⠀⠀⢀⣾⠋⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀
⠀⠀⢠⣾⠟⠁⠀⠀⠀⠀⠀⠘⣷⡀⠀⢰⣿⡟⣀⣴⡿⠻⣿⣇⡀⠀⠀⢀⣾⡟⠀⠀⠀⠀⠀⢠⣾⡾⠿⣿⣷⣦⣥⣦⣐⣰⡶⣄⠈⡑⠞⠁⣄⢒⣎⣤⣤⣦⣴⣾⣿⢿⢣⣾⣄⠀⠀⠀⠀⠀⢻⣧⡀⠀⠀⠀⣸⣿⠟⢿⣦⣀⢻⣿⡇⠀⠀⣾⠏⠀⠀⠀⠀⠀⠀⠹⣷⡄⠀⠀
⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⢠⣄⣿⡇⢠⣼⡿⠟⠛⠁⠀⠀⠈⠛⢿⣦⣴⡿⠛⢿⣆⠀⠀⠀⣴⡿⢋⠐⢠⠀⡄⢉⠙⠛⠻⠿⠿⡿⠐⠠⢈⠐⠿⠿⠿⠛⠛⡉⡉⢄⢀⠂⠄⡙⣿⣦⠀⠀⠀⣠⣿⠛⢻⣶⣴⣿⠟⠉⠀⠀⠈⠙⠛⢿⣧⣲⠸⣿⣴⡄⠀⠀⠀⠀⠀⠀⠘⣿⡆⠀
⠀⢸⣿⣧⡀⠀⠀⠀⠀⣠⣾⣿⡟⢠⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠈⣿⡀⠀⣼⠟⠁⡄⠊⠔⡨⠐⢌⠢⡑⠤⢁⠂⢄⠡⡘⠤⣈⠐⢨⠀⠥⠘⠠⡁⢊⠄⡃⠌⡐⠠⢻⣷⠀⢰⣿⠁⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡆⢻⣿⣿⣄⡀⠀⠀⠀⢀⣼⣿⡇⠀
⠀⠀⠙⢿⣿⣷⣶⠾⠿⠿⣟⣫⣴⠿⠟⠛⠛⢛⣿⣶⡦⠀⠀⠀⠀⣾⡇⠀⠀⣰⣿⠀⣸⠟⠠⢑⠠⡉⢢⠑⠌⢢⠐⡡⢘⠠⡉⢂⠆⡡⠒⢠⠉⢂⠍⢂⠡⡑⢄⠢⠌⡐⠐⣈⠁⠲⣽⣇⠀⢿⣆⠀⠀⢸⣷⠀⠀⠀⠀⢶⣶⣽⡛⠻⠛⠛⠿⣦⣝⡻⠿⠿⠿⣶⣶⣿⡿⠏⠀⠀
⠀⠀⠀⠀⠈⠛⠛⠿⠿⠛⠛⠉⠀⠀⠀⠀⠀⢿⣯⣅⣀⢀⣀⣠⣴⡿⠃⠀⠀⠛⠃⢰⡟⡊⠡⡈⠤⡁⠆⡌⡘⢠⠂⡅⢂⠆⡡⢌⠠⢡⠘⡠⢉⠰⢈⠂⡡⢂⠢⢘⠀⠆⡑⠠⠌⡐⢸⡿⡆⠘⠛⠀⠀⠈⢿⣧⣤⣀⢀⣀⣨⣽⣿⠀⠀⠀⠀⠀⠉⠙⠛⠶⠿⠟⠛⠉⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⢀⡿⣸⠇⠡⠘⢄⠂⡱⠠⠌⠰⠐⡰⢈⠰⡐⢄⠊⡄⢢⠁⠆⡘⠠⡑⠄⠃⡌⠤⢉⠒⡈⠰⡁⠄⡙⣧⢻⡀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⡿⢀⠃⡩⢀⠃⡰⠁⠎⢡⠘⡠⢌⡐⢌⠠⡑⡐⢂⡑⢌⠰⡁⢌⠨⣁⠰⢐⠂⡡⢠⠁⡔⢂⠐⢻⡞⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⣼⠇⢂⠱⢠⠁⠎⡐⢡⠊⠰⢠⠁⢆⡐⠢⠑⠤⡘⢄⠢⠌⡰⠈⢆⠡⢄⠢⡁⠆⠱⡀⠆⡐⠤⢈⠐⣯⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢷⡟⠀⠆⡑⠢⠘⢄⡘⠠⡁⢃⠢⡉⠰⢀⠣⠘⠤⠑⢂⠢⡑⠄⠣⠌⠒⡄⠃⠔⡁⢃⠔⡡⠐⠄⠂⠌⣹⡎⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠘⠡⢘⠠⠡⡘⠐⠢⢘⠠⡑⢌⡐⣁⠣⢌⢂⠩⡐⡉⠤⡑⡈⢌⡁⠎⡑⣈⠱⡈⠔⡡⢈⠄⡉⠌⣁⠂⠄⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⢈⠡⢌⠂⡅⠌⢨⠁⡌⠤⡁⢆⠰⠠⡘⠄⠢⡑⠤⠑⡰⠠⡁⠆⢌⠰⠡⢐⠢⠡⢌⠰⢁⠊⠤⠑⠠⢈⠐⢸⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⢂⡑⠢⢁⠢⠘⣀⠃⢌⠐⡡⠌⢂⡑⠰⡈⡑⢐⠢⡑⠄⡃⠔⡈⠆⡘⠄⠣⡘⢐⠢⡘⢠⠃⡘⡈⠔⠂⡁⠂⠞⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠠⡘⡐⢈⠄⡑⠄⡃⢌⠰⣁⠘⡄⢌⡑⢠⠑⡨⢄⠡⢊⠄⣃⠘⡄⢡⢊⠡⡘⢄⡁⢆⠢⢁⠆⢡⢊⠐⠠⢁⢛⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⡁⠆⡑⠨⡐⢈⠆⡡⠌⠰⠠⡑⢄⠢⢘⠠⠃⡔⠠⠃⡌⠰⠠⠡⠌⠢⠄⠣⡐⠢⠌⡰⠐⠌⢒⠠⢂⠌⡁⠂⠌⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠂⡔⠡⢘⠠⡁⢊⠄⡡⢘⠠⢃⠘⣀⠃⢌⠂⡑⡈⠆⡑⢨⠁⡃⠜⡠⠃⢌⡑⠄⡃⠆⡑⢨⠘⡄⢊⠔⡐⠠⢁⠂⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⡁⢢⠁⡌⡐⠄⠣⠌⡄⢡⠘⡄⢣⠠⡉⠤⡑⠤⡑⡈⠔⡡⢌⠰⢡⠐⡉⠤⣀⠣⡘⢄⠡⢂⠅⡒⠨⡐⠄⡁⠂⠌⣻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠄⡃⠆⠰⢁⡘⢐⠢⠌⡐⢢⠐⢢⠐⡡⢒⠠⢡⠐⠌⡒⠰⢀⠣⠐⡌⠰⡐⠄⡒⢌⠢⠑⠌⢂⠌⡑⠄⠒⡈⠤⠁⣽⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠁⠢⡑⠌⢒⠠⠌⢂⠂⠥⢘⢀⢃⠢⠘⡐⠢⠑⣂⠘⠤⡑⢈⢂⡑⢌⡐⣁⠢⠑⣈⠐⡂⢍⠘⡠⢊⠄⡉⠔⡀⢂⠡⠶⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠠⠑⡄⠃⡌⠐⡌⢢⠉⣂⠡⢌⢂⠡⡑⠌⡡⢁⠆⡩⠐⡌⡐⢂⠌⡠⠐⠤⢡⠑⡄⠣⢌⢂⠱⡀⢅⡘⢀⠒⠠⢁⠂⠜⣸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⠤⢡⠈⡅⠰⢁⠒⢄⠒⠄⢊⡐⠢⢑⠠⠃⠔⢂⠒⢄⠣⡐⠌⠂⠆⠱⢈⠒⢄⠒⠤⠑⠂⢆⠰⡈⢄⠠⢃⢈⡑⠠⢈⡐⠸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠐⠒⡀⠢⠄⠣⢀⠣⣈⠐⡉⢢⠐⣁⢊⡐⣉⠘⡠⢉⢂⠂⡅⢊⡑⠌⡑⢂⡉⢢⠘⠤⢉⡘⢄⠂⡅⢂⠰⠀⢆⠤⢁⠂⠄⠡⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⠌⠡⠠⢁⣬⢀⠡⠂⡔⢈⠤⠡⠌⡄⢢⠐⠤⡑⢠⠃⡌⠰⡈⠔⡈⠤⡑⠄⡌⠤⡉⠔⡡⠌⢢⠈⡔⢀⠂⠡⠘⣶⠠⠈⠄⢃⠹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⢌⠠⠑⡐⢨⣿⠀⠢⡑⠰⠀⠆⡑⠢⡐⢢⠘⠤⢘⠠⠒⢨⠐⡡⠘⠤⠡⠐⡌⠰⠐⠄⠣⠐⠌⡂⠔⡠⠊⠄⡑⠈⣿⡄⠑⡈⠄⠂⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠇⠰⢂⠡⢀⢻⡏⠄⡑⡈⠆⡉⢄⡑⠂⡅⢢⠘⡐⣈⠂⡍⢂⢂⡑⣈⠂⡅⠣⡐⢡⠉⡌⢡⢉⡐⢡⠘⠠⡁⠂⠤⠁⣿⣇⠂⡅⢈⠂⡙⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠈⡘⢂⠐⢂⣽⡏⠐⡠⢁⠌⡐⠂⡌⡁⠆⡡⢌⠰⢠⠁⢆⠡⢂⠔⡠⠡⠌⡡⠌⠤⡑⡈⢆⠰⠈⢆⠨⡁⠔⡁⢂⠁⢺⣷⠐⡈⠄⠒⡈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠏⠠⠉⢄⠨⠤⣿⡇⢡⠐⡁⢢⠁⡃⠔⠠⠃⠔⠂⡅⢢⠘⡄⢊⠔⠢⢐⠡⠒⠰⢈⠒⠤⠑⢢⠘⠰⡈⠔⡁⠆⡐⠠⠉⢼⣿⡁⢒⠈⡐⠈⢼⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠈⠦⢁⠂⡐⢸⣿⡐⢠⠃⡔⠡⢂⠅⢊⡁⢃⠌⡑⡐⠢⢁⠒⢨⠐⣁⢊⡐⣉⠢⡁⠜⢠⠉⡔⢨⠁⡌⢂⠅⡂⠄⠃⠌⢂⣿⡇⠤⠈⠄⡡⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠠⣛⠀⢂⠘⣼⣿⠀⢢⠁⠆⡑⣈⠢⡁⠌⡄⢊⡐⠡⡑⡈⢌⠰⡈⢄⠢⡐⠤⠡⢌⠘⡠⢑⠠⠃⢌⠐⡈⡐⠠⠘⡈⠄⢃⢻⡇⠄⠡⠒⡀⢂⢼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠡⡡⠈⠄⡩⣾⡏⠠⢁⠎⡐⠡⡀⠆⠠⢁⠰⢀⠢⢁⠔⠡⢊⠰⠀⠎⡐⠄⡊⠔⢂⠡⡐⢡⠂⡑⢂⠐⠠⠐⡡⢁⡐⠈⠄⢺⣯⢀⢃⡐⠄⡈⠞⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠁⣂⠅⡈⠔⡰⣿⢁⠣⢈⠐⡄⠑⡀⢊⠁⢂⡐⠈⡄⢁⠊⠅⡢⠌⡑⢨⠀⡑⠠⠘⠠⢁⠰⢀⠡⠐⠄⢊⠁⠆⡰⠠⢀⠉⡐⠸⣿⡆⠀⠆⡐⢠⠉⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⡏⣰⣿⢀⠐⡈⢼⡟⡀⠓⡈⢐⠠⠑⠠⠁⢌⠠⠀⡅⣶⣦⢈⠐⡡⢌⠠⡁⢌⠠⡑⢈⠁⡂⣴⣿⠀⢡⠈⠄⠌⡐⠤⢁⠂⠡⡀⢙⣻⣧⠁⢂⠄⣿⣆⢻⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⢠⣿⡏⢀⠂⡌⣿⣿⠂⠅⡐⠂⣼⡏⠄⢡⠈⠄⠡⢀⠻⣿⣇⡆⣁⠢⡁⠆⢠⠂⡐⠠⠘⣶⣿⢇⠌⠰⠈⠆⠒⠠⣹⣧⠌⡐⠠⢉⣿⣿⠐⡀⠢⢸⣿⣌⠻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣅⣿⣴⣿⡿⠈⠄⢂⢽⣿⡏⠐⡈⠄⠡⣿⣏⠐⠠⠌⢂⢡⠌⠶⢽⣿⡆⠄⢢⠁⠎⠰⠐⠠⢁⡃⣿⡏⠎⣠⠡⠌⠠⢁⠢⢽⣿⠂⠄⢡⠈⠻⣿⣇⠠⢁⠫⢿⣿⣬⣭⣌⣿⢷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡁⢻⣿⣿⣿⣿⠁⠌⡐⢂⣾⡟⠠⣁⢰⣈⡔⣿⡧⢈⠐⢬⣶⣿⡿⢿⣿⣿⡧⠈⠄⡌⡠⢁⠌⡁⢂⢱⣿⣿⡿⢿⣷⣾⣄⠁⢂⢻⣿⣡⣎⢠⡘⠀⢿⣿⡄⢂⠐⠨⣿⣿⣿⣿⡟⠈⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣾⣿⣿⣿⣧⣈⠐⡈⢼⣿⣷⡿⠿⠛⠛⢿⣿⡗⠠⢈⢾⣿⡉⣙⣾⡿⢋⠑⣼⣾⣿⡿⢿⣷⣾⣦⡈⠙⢿⣷⣤⢘⣿⣿⠀⠌⣾⣿⡟⠛⠛⠻⢿⣿⣿⣇⠠⠘⣠⣹⣿⣿⣿⣷⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠃⠈⠛⠿⢿⣶⣭⣿⣇⡀⠀⠀⠀⣾⣿⢇⡂⢡⢘⣿⣷⣿⡟⢀⠂⡘⢿⣿⣠⡀⢀⣀⣿⣿⡥⠈⠄⢻⣿⣾⣿⡃⢌⣞⢾⣿⣿⡀⠀⠀⠀⣸⣿⣧⣷⣾⠿⠛⠉⠸⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⠃⠀⠀⠈⢻⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠛⠁⠈⠛⠛⠻⠿⠿⣿⣾⣿⣿⣿⣿⡟⢿⣿⣿⡟⠁⠀⠀⠐⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⡿⠛⠋⠉⠀⠀⠈⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠉⠀⠀⠉⠉⠛⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣷⣄⣠⣤⣴⣦⣶⣾⣿⣶⣄⠀⠀⠀⠀⣠⣶⣿⣷⣶⣦⣦⣤⣀⣀⣾⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠟⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠻⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠿⠿⠿⠻⠟⠛⠁⠀⠀⠈⠛⠛⠻⠿⠿⠿⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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