⠀⠀⠀⠙⢶⡱⣾⣴⣾⢶⣶⣶⣵⡶⣶⡶⣶⣶⣦⣷⣦⣷⣮⣶⠞⡲⠁⠁⠀⠀
⢀⠀⠀⠀⠀⠈⠲⣹⢞⣟⡮⣷⣳⠆⠀⠀⢰⣞⣳⣻⣼⡿⢯⡅⠉⠀⠀⠀⠀⣠
⠽⣅⠀⠀⠀⠀⠀⠈⢮⡽⣻⡵⣯⠟⡀⠀⢸⣞⣳⢯⡾⣙⠋⠀⠀⠀⠀⢀⢤⡃
⠣⣿⣶⣀⠀⠀⠀⠀⠀⢳⣩⡷⢯⣧⠀⠀⢸⢾⣽⡟⠬⠁⠀⠀⠀⢠⢴⣯⣾⠅
⡅⣿⣺⢿⣮⣕⡠⢀⠀⠀⠧⢻⣯⠇⠄⠀⢸⣻⡾⢬⠁⠀⡀⢔⣪⣶⣿⡳⣿⠊
⡐⢷⡽⣞⡵⣟⡿⣾⣬⣅⣾⢯⣽⣷⠀⠄⢸⣿⢳⡖⣦⣽⣾⣟⣯⢷⣫⢷⣻⡅
⠅⣟⠛⠾⠝⠯⠳⠯⠝⠯⠻⠟⠾⠅⠂⠀⠸⠻⠿⠛⠟⠶⠛⠾⠭⠛⠞⠛⣿⠄
⣃⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⠎
⢌⡿⣴⣻⢷⣻⣟⡿⣽⡞⣿⢟⣿⡧⠐⠀⢹⣿⢿⣻⣟⡿⣟⣿⣳⣟⢿⣳⣿⡅
⡆⢿⣣⣟⢯⡶⡯⢝⣚⠭⠷⣎⡿⡎⠄⠁⢸⣻⡇⠿⠌⣙⡻⢾⡵⣞⣯⡗⣿⡐
⡬⢷⣻⡼⢟⡡⠞⠉⠀⢀⡒⣼⡿⡵⠀⡄⢸⡽⣷⡩⠄⠀⠉⠓⠮⣝⢶⣻⣽⠆
⡱⣿⢇⡔⠃⠀⠀⠀⠀⡬⣽⠿⣝⡇⠀⠀⢨⢷⡻⣷⣂⠀⠀⠀⠀⠈⠳⣝⢿⡃
⢧⡉⠁⠀⠀⠀⠀⢠⢒⡼⣯⠿⣽⡙⠀⠂⢸⢯⡽⢯⣿⣆⣀⠀⠀⠀⠀⠈⠪⠇
⠊⠀⠀⠀⠀⠀⣐⣶⡿⣽⡝⣿⡳⠇⠰⠀⠸⢻⣼⣻⣞⡽⣦⣓⢄⠀⠀⠀⠀⠙
⠀⠀⠀⣀⣮⣓⣿⣍⣳⣭⣙⣃⣛⣙⣓⣋⣛⣙⣊⣓⣉⣛⣙⣋⣓⣢⣤⡀⠀⠀