⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⣠⠞⠉⠷⠚⠉⠉⠀⠀⢀⡜⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠖⢉⠟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠈⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠚⠉⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠤⠬⠗⠒⠒⠒⠒⠒⠂⠀⠠⠤⠤⣄⡈⠉⢉⣝⣀⣀⠀⠀⠀⠀⠀⠘⠁⠐⠁⣀⣀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠔⠚⠉⠉⠉⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠝⠁⠀⠀⠀⠉⠑⠢⣀⠀⠀⠀⠀⠚⠁⠐⠁
⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⣄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⡀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⠞⠁⠀⠀⠀⠀⠀⠀⣠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡄⠀⠀⠀
⠀⠀⠀⡰⠋⠀⠀⠀⠀⠀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀
⠀⢀⠞⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀
⡠⠋⠀⠀⠀⠀⠀⠀⠀⠀⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳
⣡⣟⡀⠀⠀⠀⠀⠀⠀⡸⠁⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀
⣿⣿⣿⣶⣶⡆⠀⠀⣰⠃⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡇⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾
⣿⣿⣿⣿⣿⣷⣿⣷⠇⠀⠀⡾⠳⣄⠀⠀⠀⠀⠠⠒⠒⠀⠀⠀⠐⠛⠓⠄⠀⠀⠀⠀⣠⠞⠁⡇⠀⠀⠀⠈⡆⠀⣠⣀⠀⢀⣿⣤⣿
⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⡇⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠞⠁⠀⠀⢃⠀⠀⠀⠀⢱⣦⣿⣿⣆⣸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⡇⠀⠀⠀⠀⠙⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠋⠀⠀⠀⠀⠀⡾⡀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡟⡆⠀⠀⠀⢷⠀⠀⠀⠸⡇⠀⠈⡳⡄⠀⣀⡀⠀⡴⣎⠁⠰⡿⠀⠀⠀⠀⢀⡇⢣⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⢳⡀⠀⠀⠸⡓⢤⣀⣀⣀⠤⠚⠁⠘⠊⠁⠙⠚⠀⠈⠒⠤⢤⢤⡤⢤⠚⢡⠇⢠⣷⣶⣶⣶⣼⣿⣿⣿⣿⣿⣿
⠗⠋⢻⣿⣿⣿⡇⠀⠳⣄⢰⣄⣳⡈⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠈⠁⠼⣲⠟⠉⠉⠉⠙⠛⢿⣿⣿⡟⢿⣿⣿⣿
⠀⠀⠈⢿⣿⡇⢱⠀⠀⢸⠙⠃⠀⠂⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠟⠀⣰⠃⠀⠀⠀⡐⠄⠀⢸⣿⣿⠁⠀⢹⢿⡿
⠀⠀⠀⠈⠻⠇⠈⣇⠀⡘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⡸⡹⠀⠀⠘⣿⠃⡠⡀⠸⠀⠁
⠀⠀⠀⠀⠀⠀⠀⠘⣴⠛⣌⠳⢤⣀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠛⠁⠈⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⢠⢃⠇⠀⠀⠀⢹⢠⠇⠘⠃⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠓⡤⠜⠛⠓⢲⡦⠤⣤⣄⣀⣀⣀⣀⣀⣠⣤⡤⠴⠖⡾ ⠀⠀⡎⡸⠀⠀⠀⠀⢸⠏⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠊⠀⠀⠀⠀⠀⢳⡀⠀⠀⣠⠞⠀⠘⢆⠀⠀⠀⣠⠞⠁⡏⠀⠀⠀⢰⢁⠇⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⠀⠀⢠⠂⠀⠀⠀⠙⠦⡴⡇⠀⠀⠀⢀⡷⡴⠞⠁⠀⠀⡇⠀⠀⠀⡎⠸⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀ハシビロコウ