⢰⣤⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⣿⠉⠳⢦⡀⢠⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠙⢳⡄⣰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠙⣧⠀⠀⠙⢿⡃⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣽⡀⡀⢻⠟⣻⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠙⢧⣀⠀⠈⠁⠀⢹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣎⢁⣿⣦⡀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠐⠾⣟⠋⠙⠆⠀⠀⠀⠀⠙⢿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡽⣿⣎⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠈⠉⠓⠶⢶⠀⠀⠀⠀⠀⠘⢿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡷⣟⣯⣿⣧⡙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠙⢿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣦⣼⣿⣽⣻⢷⣯⢿⣧⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⢻⡀⠀⠀⠀⠀⢻⣿⢿⣿⣤⡀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡿⠟⠛⠃⠘⠛⠻⠿⢿⣿⣿⣟⣿⡄⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠙⣆⠀⠀⠀⠀⠙⢿⣯⡿⣿⣦⣀⣤⠤⠖⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠷⢤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠘⣦⠀⠀⠀⠀⠈⠻⣿⣷⣻⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⢲⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠙⣿⣷⣻⢾⣻⣿⣦⣄⠀⠀⠀⠀⠀⢸⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠈⢻⣿⡿⣽⣾⣻⢿⣷⣄⠀⠀⣤⠾⠧⢤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠹⣿⣟⣾⡽⣟⣿⣻⣿⣦⣿⠐⠢⣄⡀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠲⢾⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣇⠀⠀⠀⠀⠳⣄⡀⠀⠀⠀⠀⠀⠙⣿⣯⣟⡿⣾⡽⣯⣟⣿⣷⣄⠈⠙⠢⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⢤⣤⣤⣀⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠲⣟⣛⠛⠋⠃⠀⠀⠀⠀⠀⣸⣿⣿⣽⠷⠛⢛⢛⡛⠻⢿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⢛⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⣀⠀⠉⠙⠒⠲⢶⡶⠂⢀⣰⣿⣿⡿⠁⢀⣤⣾⣿⣷⣷⢶⣤⡙⠿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠈⣼⠃
⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣴⣶⣶⣾⣿⣿⣿⣶⣶⣶⣿⣶⣿⣿⡿⣿⣽⡇⣰⣿⣿⣿⣿⣿⣿⣧⡈⢻⣄⠙⢿⣿⣷⣦⣤⣤⣤⣀⣀⣀⣠⣤⣤⣤⣤⣤⣤⠶⠶⠚⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠷⣿⣾⣳⣿⣾⣽⣾⣳⣟⣾⡽⣷⢯⣷⣿⠏⠛⠛⠻⣿⡟⢿⣧⠀⠻⣆⠈⢿⣯⣟⣿⣻⢿⡿⣿⢿⡇⣼⡛⢷⣽⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣉⣿⣿⣮⣍⡛⠿⢾⣯⣿⡽⣿⣿⣿⣠⠀⠀⢀⣿⡇⠘⣿⡄⠀⢿⡄⠘⣿⣽⡾⣯⡿⣽⣯⣿⣷⣿⠃⠈⣟⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠉⠛⠷⣿⣿⣿⣟⢲⣿⡟⠀⠀⢻⡇⠀⢸⡇⠀⢿⣯⣟⣷⢿⣻⢾⣽⣿⣿⣤⡄⡏⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣀⣴⣞⣯⣍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡈⠛⡿⣿⣆⡀⠀⠀⢸⠃⠀⠀⣷⠀⢸⣿⣞⣯⡿⣯⣟⣯⣿⣿⡟⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠙⠓⠶⠦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢶⣦⣈⠙⠻⣶⣤⣟⡀⠀⠀⣿⡄⢸⣿⡾⣽⣻⢷⣯⣟⣾⣿⣧⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣤⠤⠭⠿⠶⢤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡀⠀⠀⠙⠻⢿⣿⣶⣿⣷⣤⣿⣿⡽⣯⡿⣾⣽⡾⣽⣻⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠓⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣦⠀⠀⠀⠀⠈⠙⠛⣿⣿⣽⣷⢻⣽⡟⣷⣯⣿⣽⣷⢻⣿⣿⣷⣤⡄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⢉⣿⣷⣄⠀⠀⠀⠀⠀⠀⠈⠉⠻⣿⣯⣿⣷⣻⣾⡷⠿⣿⣏⣤⣬⣍⣛⠳⢦⣤⣤⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢦⣀⠀⠀⠀⠀⠀⠈⣿⠿⣿⣽⣻⣿⣦⣀⠀⠀⠀⠀⠀⠀⢿⣧⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡿⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢦⣀⠀⠀⠀⠘⣦⠀⢉⣿⣯⣟⣿⣷⣦⣄⠀⠀⠀⠈⠻⣆⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢦⡀⠀⠈⢷⡿⢿⣾⣽⣾⡷⣯⡍⠙⢷⣦⣤⣀⡈⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⡿⠟⠋⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢤⡀⠙⠲⢄⣠⣿⣿⡿⢿⣦⣬⢿⣡⡿⠋⠛⠛⠒⠶⠶⠒⠚⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢦⣀⡉⠓⠦⣤⣼⣋⣡⠾⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠲⠶⠶⠴⠶⠚⠀⠀









𝗪𝗲 𝗮𝗿𝗲 𝗻𝗼 𝗼𝗻𝗲