1$3⠀⠀⠀⠀  ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
 2$1⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⠋⡆⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
 3$5⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⢀⣤⢛⠛⣠⣿⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
 4$6⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣿⠟⣡⠊⣠⣾⣿⠃⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
 5$2⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣯⣿⠀⠊⣤⣿⣿⣿⠃⣴⣧⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
 6$1⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⡟⣠⣶⣿⣿⣿⢋⣤⠿⠛⠉⢁⣭⣽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
 7$4  ⠀⠀⠀⠀⠀⠀ ⠀⣠⠖⡭⢉⣿⣯⣿⣯⣿⣿⣿⣟⣧⠛⢉⣤⣶⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
 8$5⠀⠀⠀⠀⠀⠀⠀⠀⣴⣫⠓⢱⣯⣿⢿⠋⠛⢛⠟⠯⠶⢟⣿⣯⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
 9$2⠀⠀⠀⠀⠀⠀⢀⡮⢁⣴⣿⣿⣿⠖⣠⠐⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠛⢿⣶⣄⠀⠀⠀⠀⠀⠀⠀
10$3⠀⠀⠀⠀⢀⣤⣷⣿⣿⠿⢛⣭⠒⠉⠀⠀⠀⣀⣀⣄⣤⣤⣴⣶⣶⣶⣿⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀
11$1⠀⢀⣶⠏⠟⠝⠉⢀⣤⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
12$6⢴⣯⣤⣶⣿⣿⣿⣿⣿⡿⣿⣯⠉⠉⠉⠉⠀⠀⠀⠈⣿⡀⣟⣿⣿⢿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
13$5⠀⠀⠀⠉⠛⣿⣧⠀⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⣿⣿⣯⣿⣦⡀⠀⠉⠻⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀
14$3⠀⠀⠀⠀⠀⠀⠉⢿⣮⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠀⣯⠉⠉⠛⢿⣿⣷⣄⠀⠈⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀
15$2⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠢⠀⠀⠀⠀⠀⠀⠀⢀⢡⠃⣾⣿⣿⣦⠀⠀⠀⠙⢿⣿⣤⠀⠙⣄⠀⠀⠀⠀⠀⠀⠀
16$6⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢋⡟⢠⣿⣿⣿⠋⢿⣄⠀⠀⠀⠈⡄⠙⣶⣈⡄⠀⠀⠀⠀⠀⠀
17$1⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠚⢲⣿⠀⣾⣿⣿⠁⠀⠀⠉⢷⡀⠀⠀⣇⠀⠀⠈⠻⡀⠀⠀⠀⠀⠀
18$4⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⣀⣿⡏⠀⣿⡿⠀⠀⠀⠀⠀⠀⠙⣦⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
19$3⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠿⣧⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣮⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
20$5⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠀⠀⠀⠀⠀⠀