⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠰⠶⠶⠀⠶⠶⠆⢤⢄⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠖⠊⠀⠀⠀⣠⡴⠆⡄⠀⠀⠀⠀⠀⠈⠑⠲⠄⡀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡄⣀⠀⢀⡀⠈⠀⠀⠀⢠⡄⢫⠔⠉⣇⡇⠀⠀⠀⠀⠀⠀⠀⠀⣀⣈⣲⣄⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⣨⠋⠀⠀⠀⠀⠀⠑⠓⠢⢤⡀⢁⠁⠀⠠⠆⣤⣀⠖⠊⠁⠈⠀⠀⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⣄⣰⠃⠀⠀⠀⣠⠖⠊⠉⠑⢦⡀⠙⠛⠀⠀⠀⠀⠀⠁⠑⢦⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⡌⠁⠀⠀⡘⡡⠊⠀⠀⠙⢄⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀
⠀⠀⠀⡀⡀⣄⣀⡐⠈⠀⡼⢻⠲⠀⠀⠀⣐⠃⠀⣠⡄⠀⠹⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢓⡀⠀⠀
⠀⢀⠾⠅⢤⣀⢙⡃⢀⡚⠁⠀⣜⣻⠀⢀⠆⠀⠀⢷⣿⠀⡺⠀⠀⠀⠀⠀⠠⣄⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀
⢠⡖⠛⠓⠦⠘⡤⠄⢸⡇⠀⣤⣽⣿⣓⢊⢀⠀⠀⢘⣳⢔⢁⠐⡄⡀⠀⠀⠀⠈⢧⣀⢀⠀⠀⠀⠀⠀⠇⠀
⢨⡇⠛⠳⣜⡃⠳⢄⡬⢳⠀⠉⠛⠛⡛⠀⠈⠛⠘⠋⣠⢾⠸⢀⡷⠃⠀⠀⠀⠀⠈⢃⠈⠙⠢⡄⠀⠀⣰⠀
⠀⠣⣾⠢⠽⠀⠐⠶⢁⣎⠣⠀⠀⠀⠈⣃⣦⡤⠤⠬⡥⠶⣘⠯⢀⡀⠀⠀⠀⠀⠀⠈⡀⠀⠀⠀⠀⣀⢿⠀
⠀⠀⠀⠉⠸⠦⠭⠀⠈⣡⠣⣄⡠⠴⡞⠁⠀⠈⣣⠀⠹⡦⢄⡉⠃⠮⢼⠆⡀⠀⠀⠀⡇⠀⠀⠀⠀⠈⠎⠀
⠀⠀⠀⠀⠀⠀⠁⠚⠛⠇⡄⣀⠤⢾⠀⠀⠀⠀⢾⢀⣠⣋⣠⣴⡿⠀⢠⠀⠈⢀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣆⠀⠀⢀⠖⠋⠈⣏⠙⠹⣤⡔⠇⠀⠀⠀⢣⢠⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢶⠰⡞⡇⠀⠀⠘⢦⣰⢰⡖⠂⠀⠀⠀⠸⠇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢎⠙⣭⡄⡄⡀⣤⡼⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⡀⠼⢏⠘⡗⠹⠗⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣅⠘⣋⣆⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠘⠣⠤⢟⣭⡄⢸⡔⢲⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⡋⠈⠵⠀⠻⡈⡙⠀⠃⠉⣀⢃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠴⢂⢛⠛⠛⠛⢠⠤⣕⡛⠀⠀⣈⣁⣨⣅⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡠⠘⠈⠀⠀⠀⠘⢃⠀⠀⠘⠂⡌⠙⠛⡃⠛⠁⠀⠀⣉⣳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⡀⣃⡇⠀⡘⠁⠀⠀⠔⠀⠉⠉⠘⠃⢄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠙⠺⠣⠴⠶⠶⠶⠶⠄⠻⠇⠙⠃⠙⢶⢅⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠿⣧⣀⡀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠛⠹⠶⠶⠆⠙⠉⠀⠀⠀