⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣂⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢀⣠⠴⠚⣉⠁⠲⠒⠉⠝⡲⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡄⠀⠀⠈⠀⣀⣠⠤⢒⠩⡀⠆⡡⠄⠊⠤⡀⠀⠀⠈⢺⡿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠃⣤⠶⠟⠛⠘⡆⠸⠀⠶⢠⠳⠀⠇⡟⠰⡜⠶⠆⠰⠞⣿⢿⣦⠀⠀⡄⠀⠀⠀⠀⠀
⢠⢊⠑⣀⣒⡂⢉⠄⠣⢁⠊⡄⠢⠑⠢⠁⢆⡑⠈⠆⠱⠘⢫⡷⣻⠷⣄⠁⠀⠀⠀⠀⠀
⢹⣿⢻⣭⣻⣝⡻⡶⣧⢆⡡⠐⡡⢁⠃⠍⡠⢐⠉⠬⠔⡁⠞⣽⣣⢟⡟⢳⣄⠀⠀⠀⠀
⠸⣯⣳⣿⣿⣿⣿⡷⢯⣟⣽⡳⣦⣡⢈⠒⡔⠁⠀⠀⠀⠈⢊⣷⡹⣞⡽⣌⢚⠷⡄⠀⠀
⠀⠻⣧⢿⣿⡿⢉⣀⡄⠈⢙⠳⢯⣷⢻⢶⡧⣀⣀⠀⠀⢀⣸⣗⣻⢼⣹⠽⣯⣞⢿⡄⠀
⠀⠆⠘⠻⡾⠉⣸⠿⠗⢀⠀⠈⠁⠊⠍⡛⢿⣦⣎⣜⣩⣧⡞⣮⢳⣏⠾⣽⣲⢽⡺⣷⠇
⠀⠀⢀⡜⠉⠐⠂⠃⠀⠻⠦⢦⣀⠆⠀⠀⣾⣿⢈⠉⠙⠒⠻⠷⠿⢾⣿⢻⡳⣏⣷⠇⠀
⠀⢡⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠪⠡⢀⠆⠀⢀⠀⠀⠀⠀⠘⡯⠷⠟⠛⠁⠀⠀
⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⣧⠀⠀⠀⠰⠀⠀
⠀⣇⠀⠈⠀⡄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⠁⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀
⠀⢹⣀⠀⠀⠀⠁⠘⠀⠠⠄⠀⠀⠀⠀⠀⠠⠀⠈⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀
⠀⠀⠙⢄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎⠀⡆⠀⠀⠀⠀⠀
⠀⡆⠀⠀⠉⠒⠤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠔⠊⠁⠀⠀⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠰⠀⠀⠀⠆⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠄⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀