101 steps
wm5286wm5286
               
                       signature
                   
                   23→33
                       rule
                   
                   
                       {{{1, 2, 2}, {1, 3, 4}} -> {{4, 5, 5}, {1, 5, 2}, {2, 3, 4}}}
{{{1, 2, 2}, {1, 3, 4}} -> {{4, 5, 5}, {1, 5, 2}, {2, 3, 4}}}