⢀⣴⡶⣶⢶⣶⣶⣶⢶⡶⣶⢶⡶⣶⢶⡶⣶⢶⡶⣶⢶⡶⣶⢶⣦⡀
⢸⣯⢿⣽⠿⠂⠀⢸⣯⢿⣽⣯⢿⣽⣯⢿⣽⠯⠟⠹⠯⠿⣽⣟⡾⡇
⢸⣯⢿⣇⣀⠐⣷⣿⢯⣿⢾⣽⡻⠞⠉⣠⣤⣴⢶⡶⣶⣤⣀⠉⢻⡇
⢸⣯⡏⠉⢀⣴⡿⣽⣻⡾⠏⢉⣠⣞⡿⣯⣷⢯⣿⡽⣷⢯⣟⣧⡀⠱
⢸⡿⣷⣶⣾⣯⢿⣽⠓⢁⣴⡿⣽⣾⣻⢷⣯⢿⣞⡿⣽⣻⣽⢯⣷⠀
⢸⡿⣽⣳⢿⣞⠟⠁⣴⣟⡷⣟⡿⣾⡽⣟⣾⢿⣽⣻⣽⣟⡾⣟⣷⠀
⢸⡿⣽⢯⣿⠊⣠⡾⣟⣾⣟⣯⣿⣷⣿⣯⣟⣿⣾⣽⡾⣽⣻⣟⣾⠀
⢸⡿⣽⡻⠁⣰⡿⣽⣻⢷⣯⢿⣿⡦⠀⠀⠀⠀⣾⣳⢿⣯⢷⣻⣽⠀
⢸⡿⡽⠀⣼⢿⣽⣻⡽⣟⣾⠿⠋⠀⠀⠀⠀⢰⣿⢯⣿⢾⣻⣟⡞⠀
⢸⡟⠁⣼⢯⡿⣾⣽⣻⣿⡏⠀⠀⠀⡠⣾⣷⣼⣯⢿⣾⣻⣽⣾⠁⡄
⢸⠁⢰⣿⣏⡿⣷⣏⣷⣿⣇⠀⡰⠏⠀⢹⣿⢿⣾⡿⣷⣏⣷⠇⢰⡇
⠈⢀⣿⣳⣯⢿⣽⣾⡟⢻⡿⠋⠀⠀⠀⣸⣿⣻⡾⣽⣷⣻⡝⢠⡾⡇
⠀⣼⢯⣷⣻⣯⢿⣿⠃⠀⠀⠀⢀⣠⣾⡿⣷⣻⣽⢷⣯⡟⢀⣾⡽⡇
⠀⣿⢯⣷⣟⣾⣿⡟⠀⠀⠀⠀⠻⣿⣽⣻⢷⣻⡽⣟⠎⣠⣿⣳⢿⡇
⠀⣿⣻⢾⣽⣞⣿⣿⣿⣿⣿⣿⣿⣟⣷⣻⢿⣽⡻⢉⣴⣟⣾⡽⣟⡆
⠀⣿⣽⣻⡾⣽⣾⣳⣟⣾⣳⣯⢷⣟⣾⢯⡿⠞⣡⣞⣷⣻⣞⡿⣯⡇
⠀⢿⣞⡷⣿⣻⣞⣷⢯⣷⢿⣽⣻⡾⣯⠟⢁⣴⡿⣾⣽⡳⠿⠽⣷⡇
⢀⠈⢾⣟⣷⢯⣟⣾⢿⣽⣻⢾⡷⢋⣡⢾⣻⣯⣟⡷⡿⠃⢀⢠⣿⡆
⢸⣧⡄⠙⠺⠿⠽⠾⠿⠚⣉⣤⡶⣯⣟⣯⣷⣟⣾⣿⡀⠔⢹⡿⣷⠇
⢸⣷⣻⢿⡶⣶⣶⢶⣞⡿⣽⣳⡿⣽⣾⣻⢾⣽⣾⠈⠀⣠⣾⣻⣽⡇
⠈⠳⠿⣯⢟⡷⢯⠿⣞⠿⡽⢷⡟⡿⢾⡽⣟⠾⡿⢶⡶⢿⠷⣯⠷⠁⠀⠀⠀