⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠒⠒⠢⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡯⠴⠶⠶⠒⠢⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⡤⠖⠂⡀⠒⡢⡌⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠯⢭⣵⠑⣯⡭⢹⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⢠⣤⠄⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⢄⣈⣟⢁⢴⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣀⢴⠒⡝⠁⠬⠛⣚⡩⠔⠉⢻⠒⣦⢄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⢎⠁⡌⢰⠁⠀⠀⠀⠀⠀⠀⠀⢸⠀⡛⠀⡷⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣀⣾⣷⣠⠃⢸⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢹⢰⠁⢳⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢸⡿⠟⢿⢳⡏⠀⠀⠀⠀⠀⠀⠀⢠⡟⣶⣘⢞⡀⠘⡆⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡼⢺⣯⢹⢰⡏⠒⠒⠒⠊⠀⠐⢒⣾⣹⣸⢹⣾⡇⠀⢣⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣏⣾⠃⠀⣼⡟⣢⣀⡠⠤⣀⡰⢋⡝⣱⣹⠇⣿⣧⣴⠸⡄⠀⠀⠀⠀
⠀⠀⠀⠀⡏⡞⡆⢠⡇⣟⠭⡒⠭⠭⠤⠒⣡⠔⣽⡇⣂⣿⠟⠃⢀⡇⠀⠀⠀⠀
⠀⠀⠀⠀⢧⡇⡧⢫⠃⣷⣽⣒⣍⣉⣈⡩⢴⠾⡳⢡⢸⣛⣪⡗⢴⠁⠀⠀⠀⠀
⠀⠀⠀⠀⣼⢃⠷⣸⣤⣯⢞⡥⢍⣐⣂⠨⠅⠊⡠⢃⣟⢏⠹⣎⣆⡀⠀⠀⠀⠀
⠀⡠⠶⠚⠛⠛⠽⢹⡟⡖⢓⠿⣝⠓⠒⠒⠒⠭⢤⠗⣯⣩⣽⣿⠷⣾⣿⢷⣆⠀
⠜⣌⠢⢄⣀⡀⠀⡞⢡⠘⢄⠑⠨⢉⣀⠉⣀⠄⢊⠜⡸⠛⣿⡍⠉⠉⠈⢁⠁⠇
⠈⢯⡓⠦⠤⠬⠭⣵⠀⠱⢄⠑⠲⠤⠤⠤⠤⠒⢁⡔⠁⢠⣏⣡⣤⣤⡶⠜⣻⠃
⠀⠈⠙⠛⠒⠛⠻⠯⠕⠤⣀⣉⣓⣒⣂⣒⣒⣊⣁⣠⠔⠛⠂⠒⠛⠓⠛⠚⠉