⠀⠀⠀⠀⠀⠀⠀⢰⡶⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠈⠛⠷⢦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣀⣀⣤⣤⠶⢶⣾⣿⡆
⠀⠀⠀⠀⠀⠀⠀⢸⣿⣆⠀⠀⠀⠀⠈⠉⠛⠷⢦⣄⣀⣀⣠⣤⣤⠶⠶⠶⠶⠶⠶⢶⣦⣤⣤⣠⡴⠶⠛⠛⠉⠉⠁⠀⣠⣶⡟⡣⣿⠀
⠀⠀⠀⠀⠀⠀⠀⢸⡧⣟⣦⠀⠀⠀⠀⢀⣠⡴⠖⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀ ⢀⡴⠻⠿⠿⣬⢱⣿⠀
⠀⠀⠀⠀⠀⠀⠀⢸⣿⡋⠈⣷⣤⣴⣾⣿⠿⠿⣿⣷⣄⠀⠀⠀⠀⠀⣴⡟⡻⠿⠿⢶⣖⡶⠤⣄⣀⠀⠀⠀ ⠐⣯⢠⠃⣴⠺⢥⢻⡇⠀
⠀⠀⠀⠀⠀⠀⠀⢸⣏⣷⣴⡿⠟⠛⠉⠉⡄⢠⣿⣿⣿⣀⣀⣀⣠⣰⡿⢡⠃⠀⠀⢈⠉⠓⠒⠯⠽⣶⣤⣄⣰⠏⡞⠀⣙⣶⠌⣾⡇⠀
⠀⠀⠀⠀⠀⠀⠀⢸⣿⠏⠀⠀⠀⠀⢀⣞⣠⡿⣿⣿⡟⠉⠉⠉⢩⣿⡇⡏⠀⠀⡰⠀⠀⠀⠀⠀⠀⠀ ⠈⢙⡿⣶⢧⣜⡿⡠⢏⣿⠀⠀
⠀⠀⠀⠀⠀⠀⣴⣿⣯⠤⠴⠒⠊⠉⡉⢁⢠⣹⣿⣿⣧⣶⣶⣿⣾⣿⣄⡉⠉⠙⠒⠦⠤⣄⣀⠀⠀ ⠀⠞⢱⡧⣟⠠⠂⡅⠙⣺⡏⠀⠀
⠀⠀⠀⠀⠀⣼⠃⢿⢀⣠⣤⣶⣾⢿⡿⣿⣻⢿⣿⣿⠏⠉⠍⢋⣿⢿⣻⢿⡿⣿⣿⣶⣶⣤⣬⣉⠛⠲⢤⡾⢸⣇⠀⠁⠀⠃⠘⣿⡀⠀
⠀⠀⠀⠀⣼⠃⢀⣿⣿⡿⣽⣷⣿⡿⠿⠿⠿⣿⣿⠏⠀⠀⠈⠆⠛⠿⠿⡿⣿⣷⣿⣾⣽⣻⣟⡿⣿⣥⣴⣼⣿⣿⡄⠀⠀⠀⠀⠜⣧⠀
⠀⠀⠀⢰⡇⠀⣾⠋⠻⠛⠋⠉⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⡎⠈⠀⠙⣆⣀⠀⠉⠙⡛⢿⣿⣿⣷⣿⣿⣿⣿⣿⢷⠀⠀⠀ ⠀⠈⢽⡀
⠀⠀⠀⣾⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀⠀⢹⠀⠀⠀⠈⠻⡄⠀⠀⠘⢦⠙⣮⠙⢻⢿⣿⣿⠃⡾⡇ ⠀ ⠘⡇
⠀⠀⣸⠇⠀⢸⡁⠀⢠⣇⠀⠀⠀⡀⠀⠀⠀⣿⣿⡀⠀⠀⠀⢸⡄⠀⠀⠀⠀⢻⡀⠀⠀⠈⢧⠘⣧⠀⠈⠙⢿⣾⠁⣇⠀⠀ ⠀⠀⠀⡇
⢀⣴⣋⡴⠀⢸⡃⠀⠘⣿⡄⠀⠀⢷⡀⠀⢀⠹⡟⢧⠀⠀⠀⠀⣷⣀⣄⣀⡀⢀⢳⡀⠀⠀⠈⢧⠸⡆⠀⠀⠘⣿⣿⡿ ⠀⠀⠀⠀⠀⡇
⠈⠉⢩⡇⠀⠀⣇⠀⠀⣸⣧⡀⠀⢻⠻⣍⠉⠀⢻⡈⠳⡄⠀⠀⢹⡟⢦⣄⠉⠉⠉⢻⣄⠀⠀⠀⠂⢻⠀⠀⠀⣿⣿⡿⠀⠀⠀ ⠀⠀⡇
⠀⠀⠈⣷⠀⠀⢿⠀⠀⢹⣿⣧⣀⠘⡆⠙⣲⣄⠘⢧⠀⠓⢄⡀⠈⢧⠈⠙⠶⣄⡀⠈⠻⣶⣄⠀⠐⢸⡆⠀⠀⣿⢹⡷⠀⣀⠀⠀⠠⡇
⠀⠀⠀⣿⠀⠀⢸⣧⠀⢺⣿⣧⣈⣑⣿⣤⣀⣰⡭⠛⠃⠀⠀⠙⠢⢬⣦⣤⣄⣀⣍⣷⣦⣼⣏⣷⣤⣘⡇⠀⠀⣿⠈⣿⢀⡎⠀⠀⠀⣇
⠀⠀⠀⠸⣇⠀⣿⡏⢷⣸⣿⣿⠉⠉⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠘⠛⠉⣿⣿⣿⣿⣿⣿⣿⢻⡻⣿⠀⣸⡇⠀⣿⣦⡇⠀⠀⠀⢻
⠀⠀⠀⠀⠹⣆⣿⣿⢠⠛⣿⣿⡇⠀⢏⠉⢿⣯⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠉⢿⡿⠉⣹⠏⢸⡡⣿⣰⡟⠀⢠⣟⣷⣧⠀⠀⠀⢹
⠀⠀⠀⠀⣴⠋⠻⣿⣧⠉⢾⣿⠀⠀⠈⠲⣊⣰⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢶⣁⣄⡷⠋⠀⡿⢀⣿⠟⠀⢠⣾⣿⠁⠙⣧⠀⠀⢺
⠀⠀⢀⡾⠁⠀⢀⡙⢿⡆⠘⢿⣄⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⢠⡗⠤⡁⠀⢠⣿⣟⠃⠀⢸⣿⠀⠀⣿
⠀⠀⣼⠃⢀⣴⣾⠀⠘⣿⡄⠘⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⢑⢢⢁⣴⡿⣿⠭⠀⣡⣿⡿⠀⣰⡏
⠀⠀⢿⡴⠋⠁⣿⠀⡀⣿⣷⡄⢸⣿⢿⣿⣿⣷⣦⣤⣀⣀⠀⠀⠀⠀⣀⣀⣀⣤⣴⣶⣿⣿⣿⡃⢎⣶⡿⣋⣽⣯⡓⣰⡿⢿⡟⣠⡟⠀
⠀⠀⠈⠁⠀⠀⠘⣷⣰⡟⠀⢷⣠⣿⡌⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠹⠉⢹⣿⡿⠿⢿⣿⣿⣧⣽⣾⣟⠣⣶⠟⣷⣣⣿⠁⣼⡿⠋⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠿⣇⠀⠘⣿⠉⠻⣾⣷⠈⠉⠛⣾⠉⢹⡟⢷⠀⠀⡸⠋⡅⠀⠀⣿⠋⠁⠀⢸⣏⣾⠏⠀⠙⢿⣧⠈⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠋⠀⠀⠉⠉⠀⠀⣀⣿⠀⢸⣇⠘⣦⠒⠁⠀⣇⠀⠀⣿⠀⠀⠀⠘⣿⡿⠀⠀⠀⠈⠋⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⢁⣽⠗⠓⣻⣛⡛⠛⡛⠾⣿⠉⠙⣿⠃⠀⠀⠀⠘⠃⠀?