One of my favorite pastimes is solving my Rubik’s Cube. In fact, I’ve fiddled with it so much that I noticed a pattern: If you repeat the same algorithm on the cube, it will eventually return to its original state.

Can you give me the average number of permutations each algorithm in perms.dat takes to return the cube to solved? Round your answer to 2 decimal places and submit without sctf{}.

Good Luck!