⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⢶⣖⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣠⣮⡿⣽⡾⣿⢽⣾⣳⣟⣿⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠘⣶⣶⢶⣾⣻⣽⢾⣻⣽⢿⣽⣻⢷⣻⣽⢾⣻⣽⣷⣄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠻⣯⡷⣿⡽⣿⢽⣯⢿⣞⡿⠻⠹⣯⢿⣯⢷⣟⣾⣦⠀⠀⠀⠀⠀⠀
⠀⠀⢀⡀⠀⢘⠿⣽⠙⠙⠙⠉⠉⢴⡲⠃⠀⠸⡿⣾⣻⣽⢷⣻⣆⠀⠀⠀⠀⠀
⠀⠀⠰⡿⣶⡏⠀⠀⠀⢀⠠⠀⠠⠈⣵⣦⣅⣀⣻⣽⣻⣾⣻⡯⣿⡀⠀⠀⠀⠀
⠀⠀⠀⢻⣟⣦⠀⢂⣡⢄⣀⡄⠀⠠⢸⡾⣯⢿⣽⢯⣷⣯⡷⣿⣻⡆⠀⠀⠀⠀
⠀⠀⠀⠀⠉⠛⠟⣶⣦⣤⣤⣤⡴⣤⡬⣿⣻⡯⣟⣯⣷⢷⣟⣯⣷⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢠⡿⣞⡗⠡⢀⡞⠠⢐⠈⡚⠻⢯⡿⣾⣻⣽⣻⣞⣿⡀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⣻⣟⠦⢓⢗⣳⣅⣔⢐⢠⣡⡞⡉⡻⣽⣾⣻⢾⣯⣇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⣟⢺⠐⡴⣣⢹⡄⠌⡉⠩⢠⠇⠠⢂⠹⡾⣯⡿⣞⣷⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢺⡃⡺⣞⣝⡮⣗⢽⠐⠠⠡⢸⠡⢁⠂⢄⠙⣯⡿⣯⣟⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣹⡀⡇⡂⠄⢂⠐⠄⠅⠡⢁⠪⡇⠂⠌⡐⣨⢼⠿⠽⡞⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡸⢮⡣⠐⡈⡐⠨⠠⠡⢁⠂⠌⡳⣓⣉⣉⡤⣾⠇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠘⢺⣢⣡⣐⣄⣅⣊⣐⣠⣁⣅⣂⣅⣺⠴⢴⠃⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠘⠤⠤⢤⢤⣄⣤⣡⣠⣠⣠⣠⣤⠤⠴⠚⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣺⡇⠀⠀⠀⠹⣞⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣞⡷⡇⠀⠀⠀⠠⣟⠾⠀⠀⠀⠀⠀⠀⠀