⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡏⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠃⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠏⠀⠘⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡾⠈⠙⠓⠤⣄⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠘⣧⢀⣀⣀⣤⣤⣤⣄⣀⣀⣀⣠⡟⠚⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠈⠙⢦⣀⠀⣸⠕⠀⠀⠀⠀⠀⠀⠘⠋⠉⠀⠀⠀⠀⠀⠀⠈⠉⠋⠃⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⢀⡀⠀⠀⠈⠳⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⠀⠀⠘⡌⠙⠀⠀⠀⢰⡇⠀⠀⠀⠀⣀⣠⠤⢤⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠤⣤⡀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⣇⠀⠀⠀⠀⢸⡇⠀⠀⢀⡾⠋⠀⠀⣠⠈⢷⡀⠀⠀⠀⠀⠀⢠⡞⠁⡄⠀⠀⠙⢦⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⢸⡄⠀⠀⠀⣿⠀⠀⢀⡞⠀⠀⠀⠀⣿⠀⠈⢿⠀⠀⠀⠀⢠⡟⠀⠀⡇⠀⠀⠀⠈⣧⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣀⣀⣠⣤⣀⣀⣀⣧⠀⠀⢳⠀⠀⢀⡏⠀⠀⣾⠃⠀⠀⠀⠀⣿⠀⠀⢸⡇⠀⠀⢀⣿⠁⠀⠀⣇⠀⠀⠀⠀⢸⡇⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⣿⢁⠀⠀⠀⠀⠀⠸⣆⠀⠈⠁⠀⣸⠇⠀⠀⣿⠀⠀⠀⠀⠀⣿⠀⠀⢸⡿⠀⠀⠈⣿⠀⠀⠀⣿⠀⠀⠀⠀⢸⣿⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠻⣇⠀⠀⠀⠀⠀⠙⣦⡀⠀⢠⡟⠀⠀⠀⠻⣇⠀⠀⠀⠀⠉⠀⢀⣾⠇⠀⠀⠀⠘⣧⠀⠀⠉⠀⠀⠀⢀⣾⠟⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠛⢦⡀⠀⠀⠀⠈⠻⢦⣘⣷⠀⠀⠀⠀⠈⠳⢤⣤⣀⣠⠴⠟⠃⠀⠀⠀⠀⠀⠈⠳⢤⣄⣀⣠⠴⠟⠁⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠙⠶⣄⡀⠀⠀⠀⠙⠻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⣰⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣄⡀⠀⠀⠈⠻⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠞⠁⠀⠀⠀⣀⣄⣀⣀⣀⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⠦⣄⣀⠀⢨⡟⠓⠶⢤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⠤⠶⠛⣹⡇⠀⠀⠀⠀⢠⣿⡏⠀⠀⠀⠙⢷⣄⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢻⣧⠀⠀⠀⠈⢿⡉⠛⠛⠒⠒⠒⠒⠛⣛⣿⠟⠉⠀⠀⠀⣠⣿⡇⠀⠀⠀⠀⠈⢿⡇⠀⠀⠀⠀⠀⠙⣦⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠙⣦⡀⠀⠀⠀⠙⠷⣤⣀⣀⣤⠶⠞⠉⠀⢠⠆⠀⠀⣰⠟⠈⣧⠀⠀⠀⠀⠀⠈⢷⣄⠀⠀⠀⠀⠀⠘⣧⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠈⠻⣄⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⣰⠋⠀⢀⣼⠋⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠸⣇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠘⣧⡀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⣠⡞⠁⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⢿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠦⠴⠟⠁⠀⣀⡼⠋⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠈⣝⠦⣄⡀⠀⢀⣠⢾⣯⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢻⡄⠉⠙⠛⠛⢉⣸⡇⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⡾
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⢀⡼⣫⠃⠀⠀⠀⠀⣰⠃ادیت روبی چان