／l、
（ﾟ､ ｡７
⠀ l、ﾞ~ヽ
じし(_, )ノ
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠆⠘⣟⠀⠘⣇⠀⠀⠀⠷⡾⠁⠀⠀⡀⠀⠀⠀⠀⠀⠀⣠⠆⠀⠀⠈⠀⠀⠀⡤⠀⡤⣰⠇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠀⠀⠀⠀⠀⠠⡴⠛⣛⣲⣦⡀⠀⠀⡄⠀⣼⣭⣼⢶⣼⡆⠀⠘⠰⠐⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢀⡠⠠⠀⠀⢀⣠⠞⢁⣾⣵⠋⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠉⠀⠀⠀⠀⠀⠀⠐⣷⣿⣿⣿⣿⡇⠀⠀⠀⢾⣿⣿⠟⢇⠏⠀⠀⠀⢀⣤⣤⣤⣤⣀⠀⠀⠀⠄⠀⠴⠋⠀⠀⣀⣾⡏⣡⡴⢋⡾⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣀⣀⡴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣘⠻⠿⢿⠟⠀⠀⠀⢴⣿⠻⡟⠀⢾⠀⠀⢀⣶⢋⣀⣤⣶⡿⡟⣷⣂⣀⠀⠀⢀⣀⡴⠀⢉⡃⢀⢹⣠⣿⠃⠀⠀⠀⠀⠀⠀⠀
⠳⣄⡀⠀⠀⣘⡛⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⢂⠀⠀⣠⣴⣾⣍⡂⠳⠄⣸⣦⣾⡿⣿⣿⣾⣿⣿⣿⣷⡿⠛⠛⠲⢦⠀⠀⠁⠀⠉⣫⣿⣽⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠙⠦⣤⣬⣥⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡴⢁⡤⠈⠉⠁⠀⢺⣿⣧⣰⣯⣉⢻⠀⠈⠙⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣄⣀⠀⠀⠙⢻⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⣩⡀⠀⠀⠛⠀⡸⠏⠻⠿⣿⣿⡿⣶⣶⣦⣤⡀⠲⠄⠀⠀⠀⠀⠀⠄⠈⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠉⠛⠦⣤⣾⣫⠁⠈⠙⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡆⢸⣿⣷⣷⣴⠂⠀⠀⠙⠿⣟⡯⠙⡌⠁⢤⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠈⣿⣿⡷⢦⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣧⡾⠋⠉⠀⠀⠀⠀⠀⢀⠀⠀⠁⠀⢈⠠⡌⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣹⣿⣀⣀⣀⣠⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠏⢀⠀⠀⠀⠀⣀⠈⠁⠘⠃⢶⢀⡀⠸⡷⠶⠶⠶⢤⣤⣄⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣀⣤⣶⣿⣿⡍⠁⠀⠀⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⠄⠈⠐⠀⠀⠀⠈⠋⠀⠂⢠⢄⡀⢣⡀⠙⠶⣤⣄⡀⠀⠀⠉⠉⠉⠙⠛⠷⢶⣤⣄⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣠⠶⠋⠁⠀⢀⣰⣪⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⣄⣀⠀⠉⠲⣭⣀⠀⠀⠈⠙⠳⣦⣀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⡛⠛⠓⠒⠒⠒⠒⠒
⠃⠀⠀⠀⠀⠀⠀⠡⠀⢰⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⣄⠰⡄⠀⠄⣄⠈⠁⠐⢦⡢⠙⢿⣄⠀⠀⠀⠀⠙⠛⠶⣤⣀⠀⠀⠀⡀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠟⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠈⠀⠀⣌⣆⠀⠀⠀⠑⠀⠈⢿⣦⡀⠀⠀⠀⠀⠀⠈⠉⠻⢶⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠻⡀⠀⠀⠀⠀⠀⠀⠛⢷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣠⡾⣿⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢦⠀⠀⠀⠀⠀⠀⠈⠻⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠷⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⢿⣶⣿⣿⣿⣷⣄⣀⣀⣀⡤⠖⠀⠀⡀⣠⣀⣂⣤⣀⣨⡀⠀⠀⠈⢇⠀⠀⠀⠀⠀⠀⠀⢢⠹⠑⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣾⣿⣬⠀⠘⢻⢿⣿⣿⣿⣿⣿⡇⢱⣾⣦⣴⣾⣿⣿⣿⢹⣿⣿⣦⣧⣄⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣤⠀⢹⣿⣿⣿⣿⣿⣷⣤⠘⢿⣿⣿⣿⣿⣿⡀⢩⣻⣿⣿⣿⣷⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣶⣶⣼⣿⣿⣿⣿⣤⣴⣾⣿⡟⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⡙⠸⢿⣿⣿⣿⣿⡿