👑🐲💥

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⢦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠟⠋⢠⡿⠃⠀⣀⣤⣴⣶⣶⠶⠾⠛⠛⢛⣿⣿⡷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣴⣤⣤⣤⣀⢀⣤⡾⠋⠁⣀⣴⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣶⣦⣴⣿⣿⡶⠶⣶⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣶⣦⣤⣶⠴⠶⠞⠛⠛⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠷⠶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣼⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⡿⣟⡿⣿⣿⠀⠀⠀⠀⠀⢀⣀⣠⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣷⣿⣿⣽⣿⣻⣿⡿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣿⣟⣯⢷⣯⢿⣽⣻⣽⠏⢀⣀⣤⣴⣾⣿⢿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣯⣿⣿⣟⣿⣿⣟⣯⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⡿⣿⣻⢷⣻⣞⡿⣞⡿⣞⣷⣿⣾⣿⢿⣻⢿⣽⣾⡿⠋⣀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣾⣿⡿⣿⣹⣾⣹⢷⣏⡿⣷⣏⣿⣹⢿⣹⣿⣿⣹⡾⣏⣿⣿⣿⣿⣾⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣾⠿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣾⣿⣏⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⢿⣻⢷⣻⢷⣻⢾⡽⣯⢿⣽⣳⣟⡾⣽⢯⣷⣻⢷⣯⢿⡽⣿⡿⣿⣻⣽⣻⣞⣿⡅⠀⠀⠀⠀⠀⢀⣀⣠⣤⠶⠞⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣻⣿⣿⡿⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⣟⡷⣯⢿⡽⣯⣟⣯⣟⣯⣿⣽⣻⣞⣷⣯⣿⣽⣿⣾⣿⣿⢾⣯⣟⣷⣻⢷⣻⣞⡷⣿⡿⠁⠀⠀⠀⠘⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣽⣿⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣿⡿⣯⢿⣽⣻⡽⣯⣟⣷⣿⡿⠿⠛⠛⠛⢋⠙⣍⣉⣩⣭⣿⣿⣟⣯⣟⣾⣽⣾⣽⣯⣷⣿⣿⣿⣷⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠄⠀⠈⣿⣿⣿⣿⢿⣟⣿⣾⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⣯⢿⣽⣻⣞⣷⣻⣷⣿⠟⠉⡀⠂⠌⣀⣃⣤⣶⣾⣿⢿⣻⡽⣾⡽⣾⡽⣾⡿⣟⣿⣻⣽⣳⣟⣿⣻⢿⣿⣿⣿⣷⣶⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠟⠁⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⡿⣯⢿⣽⣻⣞⣷⣿⣿⠿⠉⠄⠠⠁⢄⣵⣾⣿⣿⢿⡿⣽⣞⣿⣳⣟⣷⣻⢷⣻⣽⣻⡽⣞⡷⣯⢷⣻⢾⣽⣻⣞⡷⣯⢿⣽⣿⣿⣿⣿⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡶⠟⠋⠁⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣏ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⣽⣻⣽⣻⣞⣷⣿⣿⣟⣀⡐⣈⣄⣱⣾⣿⣿⣻⢷⣯⢿⣽⣳⣟⣾⣳⣟⡾⣽⢯⡷⣯⢷⣟⣯⢿⡽⣯⣟⡿⣞⡷⣯⢿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠰⠟⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣻⢿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣀⣤⣤⣶⣶⣿⣿⣿⣿⣿⡿⣽⣳⣟⣾⣳⢯⣿⣿⡿⣿⢿⣿⣿⢿⣿⣻⡽⣾⣽⣻⣞⡿⣞⣷⣻⣞⡷⣯⢿⡽⣯⢿⣽⣻⢾⡽⣯⣟⡷⣯⢿⣽⣻⣽⣿⣿⣿⣿⣿⣿⡿⣟⣿⣻⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣽⣿⣿⣿⡿ ⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣶⣶⣶⣿⡿⣿⢿⣻⢿⣽⣻⣞⣷⣻⢾⣽⣻⢷⣻⣞⡷⣯⢿⣽⣳⢿⣽⣻⢾⣽⣻⣞⣷⣻⢷⣯⢷⣯⢿⡽⣞⡷⣯⢿⡽⣯⢿⣽⣻⢾⡽⣯⣟⡷⣯⢿⣽⣻⣞⡷⣿⣿⡿⣿⣻⣟⡾⣽⣻⣞⣷⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⣿⣿⣿ ⣴⣿⡿⣿⣿⣻⢿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣾⡿⣿⣻⣟⣿⣻⡽⣯⢷⣯⢿⡽⣯⣟⡿⣞⣷⣻⢾⣽⣻⢾⡽⣯⢷⣯⢿⣽⣻⢾⣽⣻⢾⣽⣻⣞⣷⣻⢾⣽⣻⣞⡿⣞⣯⢿⣽⣻⡽⣯⢿⣽⣻⢾⡽⣯⣟⡷⣯⢿⣽⣻⣞⡷⣯⢿⣽⣳⣟⣷⣻⢾⡽⣷⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇ ⣿⣯⢿⣿⣿⣟⡿⣾⡽⣞⡷⣯⣟⡾⣽⢾⣽⣳⢯⣟⣷⣻⣞⡷⣯⢿⣽⣻⣞⣯⣟⡷⣯⢿⡽⣾⣽⣻⢾⡽⣯⢿⣽⣻⣞⡿⣾⣽⣻⢾⣽⣻⣞⣷⣻⢾⣽⣻⣞⡷⣯⢿⡽⣾⣻⣞⣷⣻⣽⣻⢾⡽⣯⣟⡷⣯⢿⣽⣻⣞⡷⣯⢿⣽⣻⣞⣷⣻⢾⣽⣯⣿⣿⣿⣿⣿⢿⣻⡽⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣻⡇ ⣿⣯⢿⣿⡷⣯⣟⣷⣻⣽⣻⢷⣯⢿⣽⣻⢾⣽⣻⣞⣷⣻⢾⡽⣯⣟⣾⣳⣟⡾⣽⣻⡽⣯⣟⡷⣯⣟⣯⢿⣽⣻⣞⡷⣯⣟⡷⣯⣟⡿⣞⣷⣻⢾⣽⣻⣞⡷⣯⢿⡽⣯⣟⣷⣻⣞⣷⣻⢾⡽⣯⣟⡷⣯⢿⣽⣻⣞⡷⣯⢿⣽⣻⣞⣷⣻⢾⣽⣻⢿⣿⣿⢿⣿⣻⡽⣯⢷⣟⣷⣻⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⡇ ⢻⣯⣿⢿⣻⢷⣻⣞⡷⣯⣟⡿⣞⡿⣾⣽⣻⣞⣷⣻⢾⡽⣯⣟⣷⣻⣞⡷⣯⣟⡷⣯⣟⡷⣯⣟⣷⣻⣞⡿⣞⡷⣯⣟⡷⣯⣟⡷⣯⢿⡽⣾⣽⣻⣞⡷⣯⢿⡽⣯⣟⣷⣻⣞⣷⣻⢾⡽⣯⣟⡷⣯⢿⣽⣻⣞⡷⣯⢿⣽⣻⣞⣷⣻⢾⣽⣻⢾⣽⣻⢾⣽⣻⣞⣷⣻⣽⣻⣾⣷⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠆⣿⣿⣿⣾⣿⡇ ⢸⣿⡽⣯⣟⣯⢷⣯⣟⡷⣯⢿⣽⣻⢷⣯⢷⣻⢾⡽⣯⣟⣷⣻⣞⡷⣯⣟⡷⣯⣟⡷⣯⣟⣷⣻⣞⡷⣯⢿⣽⣻⢷⣯⣟⡷⣯⢿⡽⣯⣟⡷⣯⢷⣯⢿⡽⣯⣟⣷⣻⣞⣷⣻⢾⡽⣯⣟⡷⣯⢿⣽⣻⣞⡷⣯⢿⣽⣻⣞⣷⣻⢾⣽⣻⢾⣽⣻⢾⣽⣻⣞⣷⣻⣞⣷⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡾⠛⠉⠀⠀⣿⣿⣿⣟⣿⠁ ⠀⣿⣿⣳⣟⣾⣻⢾⣽⣻⣽⣻⢾⣽⣻⣞⣯⣟⣯⣟⣷⣻⣞⡷⣯⣟⡷⣯⣟⡷⣯⣟⣷⣻⣞⡷⣯⢿⣽⣻⢾⣽⣻⢾⣽⣻⡽⣯⣟⣷⣯⣿⣽⣟⣾⢯⣟⣷⣻⣞⣷⣻⢾⡽⣯⣟⡷⣯⢿⣽⣻⣞⡷⣯⢿⣽⣻⣞⣷⣻⢾⣽⣻⢾⣽⣻⢾⣽⣻⣞⣷⣻⣾⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⠀⠀⠀⠛⠛⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⢹⣿⣿⣿⡟⠀ ⠀⣿⡿⣷⢿⣾⣹⢿⡾⣷⣏⡿⣿⡾⣷⢿⣾⣹⣾⣹⡾⣷⣏⡿⣷⣏⡿⣷⣏⡿⣷⢿⡾⣷⣏⣿⣹⢿⣾⣹⢿⣾⣹⢿⣾⣷⣿⡿⠿⠉⠉⠉⣿⣿⣏⡿⣾⢷⡿⣾⢷⣏⣿⣹⢷⣏⣿⣹⢿⡾⣷⣏⣿⣹⢿⡾⣷⢿⣾⣹⢿⣾⣹⢿⣾⣹⢿⡾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀ ⠀⣿⣿⣽⣻⢾⡽⣯⣟⡷⣯⣟⣷⣻⣽⣻⣞⡷⣯⢷⣻⢷⣯⣟⡷⣯⣟⡷⣯⢿⡽⣯⣟⣷⣻⢾⣽⣻⢾⣽⣻⣾⣿⠿⠛⠉⠁⠀⠀⠀⢀⣼⣿⣟⡾⣽⢯⡿⣽⢯⣟⣾⣳⣯⢿⡽⣾⡽⣯⣟⣷⣻⢾⡽⣯⢿⣽⣻⢾⣽⣻⢾⣽⣻⢾⡽⣯⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣾⣿⣿⢿⣯⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣯⠀ ⠀⣻⣿⢾⡽⣯⣟⡷⣯⣟⣷⣻⣞⡷⣯⢷⣯⣿⣽⣯⣟⣿⢾⣽⣻⡷⣯⢿⡽⣯⣟⣷⣻⣾⣽⣿⣾⣿⣿⡿⠋⠉⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣟⡾⣽⢯⡿⣽⢯⣟⣾⣳⣟⡾⣯⣟⣷⣻⢷⣻⢾⡽⣯⢿⣽⣻⢾⣽⣻⢾⣽⣻⢾⣽⣿⣿⠿⠿⠿⠿⠟⠛⠛⠿⠿⢿⣿⣿⣿⣾⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⠀ ⠀⣿⡿⣯⣟⡷⣯⣿⣷⣿⣾⣷⣿⠟⠛⢛⣿⣿⠏⠉⠙⣽⣿⡟⠛⣻⣿⠿⣿⠋⢉⣽⡿⠟⢻⣯⢠⣾⠋⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣟⣿⣳⢯⡿⣽⢯⡿⣽⣻⣞⣷⣻⢾⣽⣳⣟⡾⣽⢯⣟⣯⢿⣽⣻⢾⣽⣻⢾⣽⣻⢾⣽⣿⣿⠟⠁⠀⣀⣄⠀⣀⣴⡄⠀⠀⠀⣠⡀⠈⠙⠛⠻⢿⣧⠀⠀⣄⠀⠀⠀⠀⠀⢀⣀⣤⣴⡶⠆⠀⣿⣿⣿⣯⣿⡄ ⢰⣿⣟⣷⣯⣿⡿⠟⠉⠁⣿⠋⢸⣇⣴⡿⠁⣿⡀⣴⡿⠋⢹⣷⡾⠋⠀⠀⢻⣶⡿⠋⠀⡀⠀⠻⣿⠇⠀⠀⠀⠀⠀⣀⣴⣾⡿⣯⢷⣻⢾⡽⣯⢿⡽⣯⣟⣷⣻⣞⡷⣯⢿⣞⡷⣯⢿⣽⣻⢾⣽⣻⢾⣽⣻⢾⣽⣻⢾⣽⣿⡿⠋⠀⠀⣴⡿⠋⢩⡾⠋⠉⠀⠀⣴⡾⠋⠁⠀⢠⡾⠋⢸⡇⠀⠀⠙⠷⠶⠶⠶⠶⠛⠋⠉⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇ ⢸⣿⣻⣾⡿⠛⠷⢶⣤⣤⣿⠀⠈⢿⣿⡁⠀⢿⣿⠏⠀⠀⠀⠻⠁⠀⢀⣄⠀⠉⠀⣴⠾⣿⡀⠀⠀⠀⠀⣀⣤⣴⣿⣿⣟⣯⢿⡽⣯⣟⣯⢿⡽⣯⣟⣷⣻⣞⡷⣯⢿⣽⣻⢾⡽⣯⣟⣾⣽⣻⢾⣽⣻⢾⣽⣻⢾⣽⣿⡿⠋⠀⠀⠀⣾⠋⠀⠀⢿⠁⠀⠀⠀⢸⠋⠀⠀⠀⢠⣿⠁⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣾⡇ ⠀⣿⡿⠋⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⢀⣠⡀⠀⠉⠀⣀⣶⡄⠀⢠⡾⠿⣿⠀⠀⠀⣿⣤⣼⣿⣦⣶⣿⣿⢿⣟⣯⣟⡾⣽⣞⣯⣟⣷⣻⣞⣯⣟⣷⣻⣞⡷⣯⢿⣽⣻⢾⡽⣯⣟⣷⣻⣞⡷⣯⣟⣾⣽⣻⢾⣽⣿⣿⣭⣤⣤⡶⠶⠶⠾⠶⠾⠛⠛⠛⠛⠛⠛⠛⠷⢶⣤⣄⡈⠃⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣾⣿⡇ ⠀⠛⠁⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠟⠋⣿⠁⢀⣴⣞⣋⣉⣿⣤⣽⣷⣶⣿⣿⣿⢿⡿⣟⡿⣯⢿⡽⣾⣽⣻⣞⡷⣯⣟⣷⣻⢾⡽⣞⣷⣻⢾⡽⣞⡷⣯⢿⣽⣻⢾⡽⣯⣟⣷⣻⣞⡷⣯⣟⣷⣻⣞⣷⣿⣿⠟⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠷⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠉⠙⢿⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣶⣿⡿⣿⣿⡿⣿⢿⡿⣿⣟⣿⣻⢯⡿⣽⢾⡽⣯⢿⣽⣻⡽⣯⣟⡷⣯⢷⣯⣟⣷⣻⢾⡽⣯⢿⡽⣾⡽⣯⢿⣽⣻⣽⣻⢾⡽⣯⣟⣷⣻⣞⡷⣯⣟⣷⣻⣞⣷⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠇⠀⠀⠀⢉⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣯⣟⡾⣽⣳⢯⡿⣽⢯⣟⣷⣻⢾⡽⣯⢿⡽⣯⢿⣽⣻⣞⣷⣻⢷⣯⢿⣽⣻⢾⡽⣾⡽⣯⢿⡽⣯⣟⣷⣻⣽⣻⣞⡷⣯⣟⣯⣟⣷⣻⣞⡷⣯⣟⣷⣿⣿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀⣀⣴⣦⠴⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣯⢿⡽⣯⢿⡽⣯⣟⣾⣳⢯⡿⣽⢯⡿⣽⢯⣟⣾⣳⣟⡾⣽⣻⣞⡿⣾⡽⣯⣟⣷⣻⡽⣯⣟⣷⣻⣞⡷⣯⢷⣯⣟⣷⣻⣾⣽⣾⣷⣿⠿⠿⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡟⠁⠀⢺⣦⣀⡀⠀⠀⢀⣀⡀⠀⠀⠀⠀⢀⣼⣿⠁⠾⠟⠁⠀⢰⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣯⣿⡽⣯⣟⣷⣻⢾⡽⣯⢿⡽⣯⢿⣽⣻⣞⣷⣻⢾⡽⣯⢷⣯⣟⣷⣻⣷⣻⣾⣷⣿⣷⣿⢾⠷⠿⠿⠿⠟⠛⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠏⠀⠀⠀⠀⠈⠙⠛⠛⠛⠛⠛⠉⠀⠀⠀⣀⣾⠟⠻⣧⣄⠀⠀⠰⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠿⣿⣷⣟⡾⣽⢯⡿⣽⢯⡿⣽⣻⢾⣳⣟⡾⣽⢯⡿⣽⣿⡾⠿⠛⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠁⠀⠀⠈⠛⢷⣄⡀⠛⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣯⣿⡽⣯⢿⣽⣳⣟⣿⣿⣿⣿⣽⣯⣟⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡾⠋⠀⠀⠀⠀⠀⠀⠀⠙⢿⣶⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣟⣾⣳⣟⡾⣿⣧⡈⠙⠛⠻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠟⠁⠀⠸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠿⢿⣾⣿⣹⣿⣷⡀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⠏⠀⠀⠀⠀⠀⠹⢿⣶⣆⡀⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⣠⣶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣤⠶⠞⠋⠉⣽⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⡟⠶⠶⠦⢤⣤⡤⣤⣤⣤⣤⣤⣤⣤⡤⠤⠤⠶⠶⠶⠶⠒⠛⢻⣟⠛⠋⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠈⠿⣦⡄⠀⠀⠀⠀⢀⣀⣤⣤⡶⠟⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠷⢶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣭⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⡶⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠷⢶⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣬⣥⣤⣤⣤⣤⡶⠶⠶⠶⠞⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠋⠛⠛⠛⠋⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀