Dice Roller

I have not received battle results for the past several battles.

I think we need to switch to Frood for the remainder of the Tournament…

:8d6:

Doh - RTFM, eh?

Rolling 8 6-sided dice:
1, 6, 4, 3, 6, 4, 4, 3

just trying it out, neat concept…

:dice10d6:
:-)

Rolling 10 6-sided dice:
5, 5, 3, 3, 1, 2, 5, 5, 3, 5

Testing….

Rolling 100 6-sided dice:
1, 6, 5, 4, 5, 1, 3, 5, 3, 6, 5, 3, 6, 1, 2, 6, 1, 6, 4, 3, 2, 2, 4, 1, 5, 5, 4, 1, 1, 6, 6, 2, 5, 5, 5, 3, 5, 1, 2, 1, 1, 6, 3, 1, 1, 5, 1, 2, 5, 4, 5, 6, 5, 2, 1, 4, 6, 5, 4, 1, 4, 3, 2, 3, 1, 1, 5, 6, 2, 1, 1, 3, 1, 3, 3, 1, 2, 3, 3, 6, 6, 1, 6, 5, 2, 1, 2, 2, 5, 5, 2, 3, 2, 4, 6, 3, 4, 5, 2, 6

Okay, that resulted in:
23 1’s (23%)
16 2’s
15 3’s
10 4’s
20 5’s
16 6’s

Not too bad…. Let’s try it with a lot of dice this time and see if it comes closer to statistical norms.

Rolling 10000 6-sided dice:
2, 2, 2, 6, 6, 1, 5, 5, 3, 3, 2, 3, 2, 6, 4, 6, 2, 5, 1, 5, 5, 1, 5, 1, 6, 6, 4, 4, 3, 6, 5, 4, 2, 1, 4, 2, 1, 3, 6, 3, 5, 2, 6, 1, 1, 3, 6, 2, 2, 6, 1, 1, 6, 5, 1, 6, 5, 5, 4, 1, 4, 3, 5, 6, 3, 2, 1, 3, 4, 1, 6, 3, 2, 5, 3, 2, 2, 2, 4, 3, 2, 5, 3, 2, 3, 4, 1, 2, 2, 5, 3, 6, 1, 1, 5, 4, 3, 5, 6, 6, 5, 6, 2, 1, 5, 4, 3, 6, 6, 6, 3, 2, 4, 6, 3, 1, 3, 4, 3, 4, 2, 5, 3, 3, 6, 1, 6, 2, 6, 6, 1, 5, 6, 3, 6, 5, 1, 2, 5, 1, 1, 1, 2, 5, 6, 4, 6, 2, 2, 3, 6, 4, 1, 2, 6, 6, 3, 6, 1, 3, 5, 2, 2, 4, 5, 1, 2, 5, 2, 6, 5, 3, 1, 1, 2, 6, 5, 2, 2, 6, 4, 1, 3, 5, 2, 2, 4, 5, 2, 5, 2, 6, 1, 3, 4, 5, 3, 6, 4, 5, 5, 3, 2, 6, 3, 3, 5, 1, 5, 1, 1, 2, 1, 3, 6, 3, 5, 4, 1, 6, 3, 2, 6, 3, 5, 3, 2, 2, 2, 5, 6, 1, 2, 2, 6, 5, 4, 5, 5, 3, 5, 6, 4, 5, 3, 4, 1, 1, 1, 2, 1, 4, 4, 6, 6, 3, 3, 2, 4, 4, 6, 4, 5, 2, 5, 4, 6, 3, 2, 5, 5, 1, 4, 3, 5, 6, 6, 6, 1, 1, 2, 1, 4, 6, 1, 4, 2, 4, 5, 6, 2, 5, 3, 6, 6, 2, 4, 5, 4, 6, 3, 3, 6, 6, 5, 5, 5, 5, 5, 6, 5, 6, 1, 3, 6, 1, 6, 2, 5, 4, 1, 6, 2, 4, 5, 2, 5, 2, 6, 3, 2, 2, 5, 1, 2, 4, 6, 1, 2, 4, 6, 1, 4, 6, 4, 3, 1, 3, 5, 5, 1, 5, 4, 3, 3, 3, 4, 1, 5, 3, 4, 6, 5, 3, 6, 6, 6, 5, 6, 2, 3, 6, 3, 6, 5, 6, 3, 5, 3, 1, 3, 3, 6, 1, 6, 2, 3, 3, 3, 1, 6, 6, 6, 5, 3, 6, 4, 3, 5, 4, 4, 1, 3, 1, 6, 2, 6, 2, 6, 3, 3, 3, 5, 2, 3, 4, 4, 6, 1, 6, 6, 1, 6, 6, 5, 3, 5, 3, 5, 3, 1, 3, 4, 4, 3, 3, 5, 3, 5, 4, 5, 2, 1, 4, 4, 3, 2, 1, 2, 3, 1, 2, 3, 1, 1, 2, 3, 6, 5, 1, 3, 5, 4, 6, 2, 6, 3, 1, 3, 1, 4, 2, 3, 4, 5, 6, 1, 6, 6, 3, 3, 6, 5, 5, 1, 5, 1, 3, 5, 5, 4, 1, 4, 1, 6, 6, 1, 2, 6, 3, 3, 4, 4, 5, 2, 3, 4, 3, 3, 4, 5, 5, 4, 3, 3, 4, 2, 4, 6, 1, 3, 4, 1, 6, 4, 1, 6, 4, 3, 6, 6, 5, 3, 4, 4, 5, 6, 2, 1, 2, 5, 5, 6, 3, 2, 3, 6, 4, 1, 6, 4, 3, 3, 5, 3, 6, 5, 2, 3, 1, 2, 3, 6, 4, 1, 3, 2, 6, 5, 3, 2, 3, 1, 2, 5, 3, 5, 5, 1, 6, 4, 4, 2, 6, 3, 4, 6, 1, 6, 3, 2, 1, 5, 1, 5, 6, 4, 1, 6, 2, 3, 1, 5, 4, 3, 4, 1, 2, 2, 1, 1, 6, 4, 2, 6, 6, 6, 5, 1, 6, 1, 3, 1, 6, 3, 6, 5, 1, 6, 5, 3, 3, 6, 2, 1, 2, 6, 1, 3, 1, 1, 4, 1, 5, 6, 6, 5, 6, 5, 5, 5, 6, 2, 6, 5, 4, 6, 4, 5, 6, 3, 2, 2, 2, 3, 2, 3, 2, 2, 6, 3, 3, 3, 4, 1, 3, 3, 5, 2, 2, 4, 1, 1, 5, 6, 6, 3, 6, 4, 2, 5, 6, 3, 6, 1, 6, 2, 4, 1, 4, 4, 4, 6, 6, 1, 1, 3, 4, 5, 4, 5, 3, 4, 5, 2, 4, 5, 5, 3, 2, 6, 1, 1, 3, 1, 2, 2, 3, 5, 3, 6, 2, 6, 6, 2, 1, 6, 4, 4, 5, 2, 2, 1, 6, 1, 3, 4, 5, 1, 6, 1, 1, 1, 2, 4, 2, 3, 5, 4, 2, 2, 4, 4, 2, 3, 5, 2, 2, 3, 5, 6, 5, 1, 1, 4, 2, 4, 1, 1, 4, 1, 1, 5, 2, 2, 2, 4, 5, 1, 1, 6, 2, 5, 3, 3, 1, 2, 5, 3, 4, 3, 2, 2, 4, 3, 6, 6, 6, 6, 1, 4, 1, 1, 2, 2, 3, 4, 5, 1, 5, 6, 1, 6, 4, 3, 3, 5, 4, 1, 1, 2, 4, 3, 4, 2, 6, 3, 2, 5, 3, 2, 2, 3, 2, 4, 5, 5, 2, 4, 5, 6, 4, 5, 6, 2, 2, 3, 6, 6, 3, 1, 1, 1, 4, 5, 3, 3, 1, 4, 1, 4, 5, 3, 1, 1, 1, 6, 5, 2, 3, 4, 2, 6, 3, 1, 1, 4, 3, 1, 4, 6, 2, 4, 1, 5, 2, 3, 2, 3, 6, 3, 1, 4, 5, 1, 5, 6, 6, 3, 1, 3, 1, 2, 3, 3, 3, 4, 1, 6, 5, 4, 5, 6, 2, 6, 5, 4, 2, 6, 1, 1, 2, 1, 5, 1, 2, 3, 6, 1, 6, 1, 4, 6, 3, 6, 3, 5, 4, 4, 5, 2, 2, 4, 1, 3, 3, 5, 6, 4, 5, 6, 4, 6, 1, 3, 1, 2, 5, 6, 3, 5, 1, 6, 4, 3, 6, 1, 2, 3, 4, 6, 4, 5, 3, 5, 2, 5, 3, 1, 3, 2, 1, 1, 2, 1, 3, 2, 3, 2, 2, 5, 6, 2, 4, 4, 4, 4, 4, 5, 6, 2, 5, 4, 6, 1, 2, 1, 6, 5, 2, 2, 6, 3, 2, 1, 4, 5, 2, 6, 6, 4, 5, 6, 5, 3, 3, 3, 6, 1, 1, 6, 2, 5, 3, 2, 6, 5, 3, 5, 3, 5, 1, 3, 2, 2, 4, 5, 1, 5, 5, 6, 3, 3, 5, 1, 5, 2, 3, 4, 3, 4, 4, 4, 3, 1, 6, 3, 5, 2, 1, 2, 1, 2, 5, 2, 4, 2, 1, 4, 1, 5, 3, 3, 1, 2, 4, 6, 4, 6, 4, 6, 4, 1, 3, 1, 1, 3, 3, 6, 5, 3, 2, 5, 5, 6, 1, 2, 1, 1, 5, 2, 5, 1, 4, 6, 3, 2, 5, 6, 1, 3, 5, 5, 3, 2, 5, 4, 4, 1, 3, 2, 4, 4, 1, 2, 4, 1, 3, 5, 1, 1, 6, 6, 2, 4, 5, 4, 5, 4, 4, 6, 6, 2, 5, 3, 4, 3, 6, 1, 4, 2, 3, 1, 6, 3, 2, 4, 4, 5, 2, 4, 5, 2, 3, 1, 6, 2, 5, 5, 6, 2, 4, 5, 4, 3, 1, 1, 5, 6, 2, 2, 2, 5, 3, 2, 2, 5, 5, 5, 3, 1, 2, 2, 2, 5, 2, 2, 1, 1, 6, 6, 3, 4, 5, 1, 6, 6, 2, 5, 6, 3, 1, 1, 1, 3, 3, 3, 1, 2, 1, 4, 2, 3, 5, 4, 2, 1, 5, 2, 1, 4, 2, 4, 1, 6, 4, 1, 5, 5, 5, 4, 2, 5, 5, 3, 2, 1, 5, 2, 2, 5, 5, 4, 1, 4, 1, 2, 4, 5, 3, 5, 3, 4, 2, 4, 4, 6, 4, 2, 4, 2, 6, 5, 1, 4, 1, 2, 5, 5, 4, 6, 4, 2, 4, 4, 5, 4, 6, 3, 2, 3, 2, 4, 1, 3, 1, 4, 2, 5, 6, 6, 1, 5, 4, 1, 2, 5, 3, 1, 3, 6, 1, 6, 2, 4, 4, 1, 1, 3, 3, 3, 5, 4, 1, 6, 1, 2, 3, 3, 6, 2, 2, 6, 1, 5, 1, 3, 4, 3, 3, 1, 3, 3, 6, 4, 6, 4, 4, 1, 1, 1, 3, 6, 5, 3, 5, 5, 4, 1, 2, 4, 3, 3, 4, 3, 2, 4, 5, 5, 1, 1, 5, 3, 4, 5, 6, 3, 3, 4, 3, 3, 4, 6, 2, 3, 2, 6, 2, 6, 1, 3, 4, 3, 5, 1, 6, 1, 5, 4, 5, 5, 5, 4, 1, 2, 3, 1, 5, 5, 4, 1, 1, 2, 1, 3, 4, 3, 3, 5, 3, 4, 2, 6, 6, 6, 6, 6, 1, 4, 3, 6, 2, 2, 3, 3, 3, 6, 3, 1, 4, 1, 2, 5, 3, 2, 1, 6, 4, 4, 5, 6, 1, 6, 6, 1, 6, 5, 6, 6, 3, 3, 6, 5, 4, 3, 2, 6, 2, 4, 1, 5, 5, 2, 4, 1, 4, 4, 1, 2, 2, 6, 2, 2, 5, 1, 2, 5, 6, 2, 5, 3, 4, 4, 1, 2, 6, 2, 1, 1, 6, 1, 6, 4, 3, 3, 5, 6, 1, 6, 2, 2, 5, 3, 4, 4, 4, 6, 3, 3, 1, 1, 5, 5, 5, 6, 6, 5, 1, 1, 6, 1, 2, 5, 5, 4, 2, 3, 4, 2, 3, 5, 4, 1, 2, 2, 4, 5, 1, 6, 2, 2, 1, 1, 6, 5, 6, 5, 4, 6, 5, 3, 1, 1, 2, 5, 4, 3, 2, 2, 5, 4, 1, 2, 4, 2, 4, 2, 1, 4, 2, 3, 5, 3, 3, 4, 2, 2, 3, 5, 2, 2, 1, 2, 2, 2, 1, 6, 5, 2, 1, 3, 6, 2, 5, 3, 4, 2, 5, 4, 5, 1, 6, 4, 3, 3, 2, 4, 4, 4, 2, 5, 6, 3, 1, 2, 4, 1, 1, 3, 2, 2, 5, 1, 3, 4, 4, 6, 6, 3, 4, 5, 3, 4, 2, 5, 6, 3, 3, 3, 1, 4, 2, 6, 1, 2, 1, 4, 2, 1, 1, 4, 3, 6, 5, 5, 3, 3, 5, 2, 5, 3, 6, 2, 6, 1, 1, 6, 4, 3, 3, 4, 1, 4, 3, 1, 6, 4, 5, 2, 5, 5, 5, 1, 4, 4, 6, 6, 6, 4, 2, 5, 1, 1, 6, 6, 2, 6, 6, 6, 2, 2, 3, 2, 6, 6, 2, 5, 3, 6, 6, 1, 5, 5, 2, 2, 2, 1, 2, 1, 5, 3, 5, 5, 4, 5, 5, 6, 4, 5, 5, 5, 6, 1, 1, 5, 6, 2, 3, 3, 2, 3, 4, 6, 1, 5, 2, 2, 6, 3, 3, 5, 5, 2, 4, 3, 6, 3, 2, 3, 1, 6, 2, 6, 6, 2, 5, 6, 4, 2, 3, 5, 4, 6, 5, 4, 5, 6, 5, 5, 3, 2, 3, 2, 3, 6, 4, 2, 3, 5, 4, 3, 4, 5, 3, 4, 1, 1, 4, 4, 2, 1, 3, 5, 1, 2, 3, 5, 2, 1, 4, 4, 3, 6, 5, 5, 6, 2, 6, 2, 1, 4, 5, 5, 3, 1, 3, 3, 2, 6, 1, 3, 1, 3, 2, 1, 4, 4, 6, 5, 5, 3, 3, 1, 2, 1, 5, 2, 3, 5, 4, 3, 3, 2, 1, 5, 3, 3, 2, 4, 3, 2, 1, 3, 5, 2, 3, 3, 6, 2, 2, 4, 4, 4, 5, 6, 5, 3, 2, 1, 2, 6, 3, 4, 1, 3, 3, 4, 5, 5, 1, 1, 1, 1, 4, 5, 3, 6, 2, 2, 2, 3, 6, 6, 1, 4, 5, 5, 1, 1, 5, 2, 6, 1, 6, 1, 4, 2, 4, 2, 6, 5, 3, 6, 6, 1, 5, 2, 6, 1, 4, 2, 3, 3, 1, 4, 1, 6, 2, 1, 6, 1, 2, 6, 1, 1, 6, 5, 3, 4, 1, 2, 2, 4, 2, 1, 4, 1, 3, 4, 1, 1, 5, 4, 4, 5, 1, 4, 5, 3, 4, 5, 3, 6, 4, 4, 6, 3, 3, 2, 6, 3, 4, 2, 6, 6, 3, 3, 6, 5, 6, 1, 6, 4, 4, 3, 3, 5, 6, 1, 1, 4, 5, 4, 3, 3, 2, 2, 5, 4, 4, 5, 6, 2, 6, 6, 1, 3, 2, 1, 2, 2, 1, 1, 5, 4, 3, 2, 3, 3, 3, 4, 6, 2, 2, 2, 4, 3, 4, 3, 1, 1, 1, 1, 3, 1, 6, 3, 3, 2, 3, 4, 3, 4, 5, 2, 2, 1, 3, 4, 4, 5, 1, 3, 1, 2, 5, 4, 5, 2, 6, 5, 3, 1, 6, 5, 1, 5, 2, 4, 6, 5, 2, 3, 2, 6, 4, 3, 1, 6, 6, 5, 5, 6, 1, 5, 2, 6, 3, 6, 1, 2, 5, 4, 3, 4, 2, 3, 3, 4, 1, 3, 2, 2, 5, 3, 2, 2, 5, 3, 2, 5, 1, 1, 5, 2, 6, 6, 1, 2, 6, 2, 4, 4, 5, 6, 2, 1, 3, 4, 4, 3, 6, 6, 5, 4, 2, 1, 6, 1, 3, 1, 5, 4, 2, 4, 5, 1, 3, 6, 3, 3, 1, 6, 6, 6, 6, 1, 6, 2, 5, 4, 5, 4, 3, 4, 2, 5, 5, 1, 6, 2, 2, 5, 5, 3, 2, 4, 3, 5, 3, 5, 1, 4, 5, 1, 3, 4, 1, 3, 6, 5, 6, 5, 3, 3, 2, 4, 2, 1, 4, 1, 2, 5, 5, 1, 2, 6, 4, 4, 4, 1, 3, 5, 4, 1, 5, 6, 5, 6, 3, 5, 5, 3, 3, 1, 5, 5, 4, 1, 5, 2, 1, 6, 1, 5, 6, 2, 5, 4, 6, 3, 4, 2, 1, 1, 3, 6, 1, 2, 5, 4, 6, 3, 6, 2, 4, 5, 6, 2, 5, 5, 3, 5, 4, 4, 4, 4, 5, 3, 2, 4, 6, 5, 6, 6, 6, 2, 6, 1, 4, 4, 4, 3, 1, 3, 5, 5, 1, 5, 6, 5, 3, 3, 4, 1, 6, 2, 5, 4, 5, 6, 2, 4, 4, 1, 4, 3, 3, 3, 3, 6, 1, 1, 3, 2, 3, 1, 6, 4, 5, 6, 3, 1, 2, 6, 2, 2, 2, 6, 6, 6, 5, 1, 3, 3, 2, 6, 6, 4, 2, 3, 4, 3, 3, 6, 4, 5, 6, 3, 2, 5, 3, 4, 6, 5, 4, 1, 6, 6, 6, 5, 5, 5, 5, 2, 1, 6, 1, 6, 4, 3, 2, 1, 6, 5, 6, 3, 3, 6, 6, 5, 4, 2, 3, 3, 6, 1, 4, 5, 6, 3, 4, 5, 2, 2, 6, 3, 2, 1, 3, 6, 4, 5, 6, 3, 3, 6, 6, 6, 5, 5, 4, 2, 1, 1, 5, 6, 2, 2, 5, 1, 5, 2, 6, 6, 4, 6, 3, 6, 1, 5, 5, 5, 3, 5, 1, 5, 4, 1, 4, 3, 5, 2, 4, 5, 3, 3, 5, 4, 4, 4, 4, 3, 6, 4, 3, 3, 3, 5, 3, 4, 3, 2, 2, 5, 6, 3, 4, 4, 3, 2, 6, 2, 3, 4, 6, 5, 6, 5, 2, 4, 2, 6, 6, 1, 4, 2, 4, 6, 6, 1, 4, 3, 2, 5, 2, 2, 1, 5, 5, 4, 1, 5, 5, 4, 2, 4, 3, 2, 3, 4, 5, 4, 4, 5, 5, 1, 6, 2, 1, 6, 2, 4, 3, 4, 3, 4, 5, 3, 3, 4, 1, 3, 2, 5, 6, 4, 3, 2, 5, 5, 6, 3, 3, 4, 1, 1, 5, 1, 3, 6, 1, 5, 3, 3, 2, 5, 1, 1, 2, 3, 4, 2, 6, 6, 1, 5, 3, 3, 1, 1, 1, 1, 4, 3, 5, 5, 4, 3, 6, 6, 2, 6, 4, 5, 3, 5, 4, 3, 6, 6, 5, 3, 2, 4, 3, 2, 3, 5, 4, 4, 6, 5, 5, 3, 2, 3, 2, 5, 6, 1, 4, 1, 1, 2, 5, 3, 1, 3, 5, 6, 2, 4, 3, 3, 2, 5, 4, 5, 4, 1, 3, 4, 6, 1, 1, 1, 4, 2, 5, 3, 2, 3, 3, 3, 4, 2, 5, 5, 4, 4, 4, 6, 2, 1, 2, 4, 6, 6, 2, 3, 1, 4, 6, 6, 5, 6, 6, 2, 2, 4, 4, 4, 1, 1, 6, 4, 2, 5, 2, 6, 2, 6, 5, 4, 1, 1, 1, 6, 6, 3, 2, 6, 6, 2, 5, 5, 2, 5, 6, 4, 2, 4, 1, 2, 4, 6, 6, 6, 5, 2, 6, 6, 2, 5, 4, 2, 6, 4, 1, 5, 6, 3, 5, 6, 5, 4, 5, 1, 2, 5, 4, 4, 2, 4, 6, 6, 4, 6, 6, 2, 2, 5, 2, 3, 4, 5, 5, 3, 3, 6, 2, 2, 2, 1, 2, 1, 5, 6, 1, 1, 4, 4, 4, 6, 1, 4, 6, 5, 4, 5, 6, 5, 4, 1, 2, 1, 5, 6, 4, 2, 5, 5, 4, 1, 6, 5, 1, 4, 5, 1, 4, 3, 4, 2, 3, 5, 5, 2, 3, 3, 6, 2, 1, 4, 3, 3, 4, 2, 2, 2, 3, 1, 1, 6, 1, 6, 5, 2, 3, 3, 2, 1, 6, 6, 2, 2, 5, 1, 3, 1, 3, 3, 3, 4, 6, 6, 6, 4, 1, 2, 6, 3, 2, 6, 3, 3, 5, 1, 4, 2, 4, 6, 2, 3, 5, 4, 5, 4, 4, 2, 4, 1, 4, 1, 4, 4, 1, 3, 2, 1, 4, 1, 4, 6, 6, 1, 2, 5, 1, 5, 1, 5, 5, 3, 2, 3, 6, 6, 6, 4, 1, 4, 4, 5, 5, 1, 3, 5, 4, 5, 6, 1, 5, 4, 1, 5, 4, 2, 4, 5, 1, 4, 3, 5, 1, 4, 2, 1, 3, 2, 4, 4, 6, 1, 3, 5, 2, 5, 3, 5, 3, 3, 6, 2, 1, 6, 1, 4, 1, 4, 3, 2, 2, 5, 6, 2, 2, 2, 3, 5, 3, 6, 3, 2, 1, 5, 6, 2, 4, 3, 6, 1, 6, 5, 3, 6, 5, 3, 4, 5, 6, 6, 1, 2, 5, 1, 4, 6, 2, 6, 5, 5, 5, 2, 6, 5, 6, 6, 1, 4, 3, 6, 5, 3, 5, 1, 3, 4, 3, 6, 3, 3, 6, 3, 5, 4, 3, 2, 4, 4, 2, 2, 2, 1, 3, 2, 6, 3, 2, 6, 1, 5, 6, 5, 1, 5, 6, 3, 2, 2, 3, 4, 5, 2, 1, 3, 5, 3, 5, 2, 1, 1, 4, 3, 1, 1, 5, 6, 3, 6, 6, 4, 4, 5, 2, 5, 4, 2, 1, 6, 3, 3, 3, 2, 4, 4, 5, 3, 6, 4, 4, 1, 4, 2, 3, 5, 2, 1, 5, 5, 1, 4, 2, 5, 3, 4, 3, 6, 5, 3, 6, 2, 6, 2, 4, 4, 6, 2, 6, 5, 6, 4, 6, 3, 5, 3, 2, 6, 3, 6, 4, 4, 4, 5, 2, 6, 3, 5, 6, 1, 2, 5, 3, 1, 1, 6, 4, 6, 1, 3, 5, 6, 6, 4, 3, 4, 6, 4, 4, 3, 4, 1, 1, 1, 6, 3, 1, 2, 1, 6, 3, 2, 5, 5, 2, 6, 4, 6, 6, 5, 3, 4, 5, 2, 2, 2, 6, 2, 5, 4, 5, 3, 4, 5, 3, 4, 1, 4, 6, 1, 3, 2, 3, 2, 1, 5, 1, 5, 4, 6, 3, 6, 4, 1, 2, 6, 3, 2, 1, 2, 5, 6, 4, 3, 4, 1, 1, 5, 4, 6, 6, 1, 2, 2, 2, 2, 6, 3, 1, 4, 3, 3, 3, 1, 4, 5, 6, 6, 6, 1, 1, 5, 6, 5, 1, 4, 5, 1, 2, 2, 1, 1, 2, 2, 3, 4, 4, 2, 1, 4, 5, 3, 1, 2, 4, 5, 6, 3, 5, 5, 3, 5, 3, 3, 3, 4, 6, 2, 5, 1, 3, 5, 2, 5, 1, 4, 3, 5, 6, 3, 2, 5, 6, 3, 1, 3, 1, 6, 5, 5, 5, 2, 4, 2, 4, 1, 6, 4, 2, 4, 5, 5, 3, 6, 4, 3, 4, 6, 1, 4, 2, 3, 3, 1, 6, 3, 3, 1, 3, 2, 5, 1, 4, 3, 3, 2, 3, 3, 5, 5, 6, 3, 3, 3, 2, 1, 6, 6, 6, 1, 3, 2, 4, 5, 3, 3, 2, 6, 3, 4, 1, 2, 5, 5, 4, 1, 6, 1, 3, 4, 5, 3, 6, 2, 5, 2, 2, 5, 1, 2, 5, 4, 3, 2, 3, 5, 4, 4, 5, 1, 1, 5, 2, 5, 3, 5, 6, 3, 5, 3, 6, 4, 5, 5, 5, 4, 1, 1, 3, 2, 2, 1, 5, 5, 2, 2, 4, 6, 5, 2, 6, 5, 1, 2, 4, 4, 6, 4, 6, 5, 6, 5, 3, 5, 4, 2, 3, 5, 2, 5, 6, 4, 5, 5, 3, 1, 6, 6, 1, 4, 2, 1, 3, 2, 2, 1, 6, 2, 4, 5, 1, 3, 4, 3, 1, 2, 4, 3, 6, 6, 2, 5, 3, 6, 3, 5, 1, 2, 5, 1, 6, 6, 2, 2, 2, 3, 3, 1, 5, 6, 5, 5, 2, 2, 1, 3, 3, 5, 6, 3, 4, 1, 1, 1, 1, 4, 5, 1, 5, 4, 2, 5, 3, 3, 6, 5, 6, 2, 5, 4, 2, 4, 3, 3, 6, 3, 6, 3, 2, 5, 5, 5, 6, 5, 5, 6, 2, 4, 1, 1, 1, 3, 5, 4, 5, 5, 2, 5, 1, 1, 2, 2, 4, 4, 5, 3, 1, 5, 5, 2, 3, 3, 1, 3, 2, 5, 2, 3, 2, 3, 4, 3, 5, 2, 1, 3, 1, 3, 2, 1, 3, 4, 3, 6, 2, 2, 2, 2, 6, 1, 4, 3, 3, 4, 5, 4, 3, 1, 1, 5, 3, 4, 2, 1, 6, 2, 4, 1, 4, 5, 1, 6, 2, 4, 6, 3, 6, 2, 5, 5, 2, 3, 1, 5, 1, 6, 2, 4, 6, 3, 2, 2, 6, 3, 2, 6, 4, 5, 6, 2, 4, 1, 2, 6, 5, 2, 3, 4, 3, 2, 2, 5, 4, 3, 3, 5, 2, 5, 2, 2, 1, 3, 3, 1, 6, 5, 1, 4, 3, 6, 6, 1, 1, 1, 6, 5, 2, 2, 2, 5, 3, 4, 3, 1, 6, 5, 6, 2, 3, 1, 3, 4, 4, 6, 4, 4, 4, 4, 1, 6, 4, 6, 1, 4, 1, 6, 2, 2, 2, 4, 6, 5, 1, 3, 6, 1, 1, 5, 2, 4, 5, 5, 2, 3, 4, 6, 6, 1, 3, 6, 1, 1, 6, 1, 4, 6, 1, 6, 2, 3, 3, 2, 2, 4, 4, 1, 4, 5, 6, 6, 2, 5, 5, 3, 1, 2, 3, 1, 3, 6, 1, 4, 6, 6, 5, 4, 6, 5, 4, 2, 2, 6, 3, 4, 4, 1, 4, 1, 5, 4, 1, 1, 2, 5, 4, 3, 1, 6, 3, 4, 5, 3, 1, 4, 3, 5, 2, 2, 4, 5, 3, 5, 5, 6, 2, 2, 6, 6, 3, 5, 4, 3, 5, 5, 2, 2, 2, 3, 2, 4, 6, 6, 1, 6, 4, 3, 4, 5, 5, 1, 4, 2, 6, 2, 1, 2, 3, 1, 2, 6, 5, 5, 3, 4, 4, 4, 6, 5, 6, 1, 3, 6, 1, 3, 5, 4, 5, 3, 3, 4, 4, 6, 5, 4, 1, 5, 5, 4, 6, 1, 3, 4, 6, 5, 2, 3, 3, 1, 2, 3, 1, 5, 2, 2, 1, 1, 5, 6, 3, 2, 3, 6, 1, 1, 3, 2, 6, 2, 5, 5, 3, 2, 3, 2, 6, 4, 4, 3, 4, 6, 5, 5, 4, 6, 6, 5, 6, 5, 4, 3, 6, 1, 2, 6, 2, 5, 1, 1, 1, 6, 6, 3, 1, 2, 5, 1, 6, 2, 3, 3, 2, 1, 2, 6, 1, 1, 4, 1, 5, 1, 3, 5, 2, 5, 5, 3, 4, 6, 4, 4, 5, 4, 1, 6, 6, 5, 6, 5, 1, 3, 1, 2, 4, 3, 1, 4, 3, 5, 5, 2, 6, 1, 1, 1, 5, 5, 4, 2, 4, 2, 6, 3, 5, 1, 2, 4, 5, 2, 2, 6, 4, 3, 2, 2, 5, 3, 5, 2, 1, 4, 4, 6, 4, 4, 6, 3, 2, 4, 5, 5, 5, 4, 1, 3, 4, 3, 1, 3, 4, 2, 2, 2, 5, 3, 3, 3, 5, 2, 5, 5, 5, 2, 4, 3, 5, 4, 5, 6, 1, 3, 5, 6, 1, 6, 3, 5, 2, 3, 1, 5, 5, 3, 6, 3, 5, 3, 6, 4, 4, 4, 2, 3, 5, 6, 5, 4, 4, 3, 4, 5, 5, 2, 4, 6, 1, 1, 4, 2, 3, 5, 1, 2, 1, 1, 4, 5, 3, 4, 3, 1, 1, 4, 3, 6, 4, 1, 4, 2, 4, 1, 6, 3, 2, 4, 2, 3, 5, 6, 4, 1, 4, 5, 3, 4, 5, 6, 3, 2, 4, 5, 3, 5, 3, 6, 4, 6, 6, 2, 2, 4, 2, 2, 6, 3, 5, 2, 5, 4, 1, 3, 4, 4, 2, 1, 1, 6, 1, 3, 2, 4, 1, 5, 2, 3, 4, 6, 3, 4, 1, 4, 1, 2, 6, 1, 5, 4, 2, 4, 1, 3, 6, 5, 6, 1, 5, 1, 1, 5, 4, 3, 3, 5, 1, 4, 2, 4, 4, 5, 1, 4, 3, 2, 6, 2, 2, 4, 5, 4, 2, 6, 6, 1, 5, 6, 2, 4, 1, 3, 3, 4, 5, 5, 2, 6, 3, 4, 4, 1, 2, 5, 5, 4, 6, 4, 5, 2, 2, 4, 5, 3, 4, 5, 4, 2, 4, 6, 6, 4, 2, 3, 2, 1, 2, 4, 6, 5, 1, 4, 5, 2, 2, 3, 5, 1, 1, 4, 2, 3, 1, 1, 5, 4, 5, 3, 6, 3, 2, 6, 1, 4, 2, 2, 4, 3, 5, 4, 1, 5, 1, 6, 1, 2, 2, 5, 3, 3, 3, 5, 5, 3, 5, 4, 1, 4, 6, 6, 6, 2, 6, 6, 5, 1, 1, 2, 4, 6, 6, 5, 5, 6, 4, 5, 2, 6, 4, 5, 2, 6, 3, 1, 2, 2, 4, 2, 5, 4, 2, 4, 5, 1, 4, 3, 2, 5, 5, 5, 4, 4, 3, 2, 4, 1, 6, 6, 6, 3, 4, 2, 3, 6, 2, 4, 2, 5, 6, 6, 2, 2, 4, 1, 3, 1, 4, 4, 5, 2, 3, 2, 6, 5, 4, 3, 5, 3, 2, 5, 6, 6, 6, 2, 5, 1, 6, 6, 6, 6, 6, 2, 2, 3, 2, 4, 4, 5, 2, 2, 1, 4, 4, 6, 3, 1, 3, 2, 3, 5, 6, 3, 4, 6, 5, 3, 6, 4, 3, 6, 4, 2, 1, 5, 4, 3, 3, 1, 2, 4, 3, 2, 2, 6, 2, 5, 6, 4, 6, 3, 2, 6, 6, 6, 5, 4, 2, 5, 2, 4, 4, 5, 5, 5, 4, 3, 1, 6, 4, 2, 4, 1, 4, 5, 6, 5, 4, 6, 3, 3, 3, 5, 3, 2, 4, 1, 6, 5, 6, 1, 3, 4, 6, 1, 3, 3, 4, 3, 3, 1, 5, 6, 1, 3, 5, 1, 2, 2, 1, 4, 5, 3, 3, 1, 5, 6, 2, 5, 5, 1, 6, 1, 5, 5, 2, 1, 2, 5, 4, 4, 6, 3, 3, 1, 5, 2, 2, 6, 3, 2, 4, 1, 5, 6, 2, 4, 6, 3, 3, 5, 4, 2, 6, 2, 6, 1, 2, 2, 6, 6, 5, 6, 2, 2, 1, 1, 3, 2, 6, 6, 4, 4, 1, 3, 3, 2, 6, 3, 4, 2, 1, 1, 4, 1, 2, 4, 1, 4, 5, 1, 3, 3, 6, 5, 4, 1, 5, 1, 2, 4, 6, 6, 2, 6, 2, 5, 1, 2, 1, 4, 4, 2, 5, 1, 2, 6, 4, 3, 4, 2, 3, 6, 5, 3, 5, 2, 3, 3, 3, 5, 1, 2, 4, 2, 2, 6, 6, 3, 1, 6, 6, 4, 2, 5, 5, 3, 4, 2, 6, 2, 4, 3, 2, 2, 6, 6, 4, 3, 2, 6, 1, 2, 2, 5, 3, 3, 4, 2, 5, 5, 2, 5, 3, 3, 3, 1, 6, 1, 3, 6, 2, 6, 2, 3, 1, 1, 2, 4, 3, 4, 4, 4, 5, 5, 2, 2, 2, 6, 3, 6, 4, 5, 5, 6, 2, 2, 1, 1, 2, 3, 6, 4, 2, 2, 1, 3, 2, 2, 1, 5, 6, 4, 2, 4, 3, 3, 5, 4, 3, 2, 4, 1, 1, 2, 6, 2, 3, 1, 3, 5, 3, 3, 2, 5, 4, 2, 2, 6, 4, 2, 4, 4, 6, 6, 1, 3, 2, 6, 6, 5, 2, 4, 5, 3, 6, 5, 4, 2, 5, 1, 1, 2, 4, 3, 6, 1, 4, 2, 1, 2, 3, 5, 5, 3, 4, 6, 5, 6, 6, 5, 4, 2, 2, 3, 4, 1, 1, 2, 3, 5, 2, 3, 1, 5, 6, 1, 6, 3, 2, 1, 5, 4, 5, 4, 1, 2, 4, 6, 2, 3, 4, 5, 4, 6, 1, 2, 6, 2, 3, 3, 1, 4, 6, 1, 3, 5, 1, 2, 2, 2, 2, 1, 6, 1, 4, 6, 2, 1, 5, 3, 4, 3, 2, 2, 2, 3, 3, 2, 4, 5, 4, 4, 3, 4, 4, 5, 2, 5, 1, 3, 6, 3, 3, 6, 3, 1, 5, 5, 2, 4, 2, 6, 1, 3, 1, 2, 6, 4, 4, 3, 3, 1, 1, 6, 5, 4, 4, 6, 3, 5, 3, 2, 2, 5, 1, 4, 6, 6, 3, 1, 4, 4, 1, 4, 1, 1, 6, 6, 5, 3, 2, 1, 4, 2, 6, 2, 6, 4, 1, 2, 3, 4, 4, 4, 2, 5, 2, 2, 5, 4, 3, 3, 2, 3, 6, 2, 4, 6, 1, 2, 2, 3, 2, 6, 5, 2, 1, 5, 5, 2, 6, 1, 5, 4, 5, 1, 3, 6, 3, 1, 4, 5, 3, 5, 2, 3, 1, 5, 2, 2, 6, 4, 4, 2, 3, 3, 4, 4, 1, 3, 6, 1, 4, 5, 4, 2, 5, 6, 2, 1, 1, 5, 6, 4, 4, 1, 6, 5, 5, 2, 6, 5, 6, 4, 1, 3, 6, 4, 1, 6, 1, 6, 6, 4, 4, 4, 5, 3, 4, 1, 4, 4, 5, 3, 2, 3, 3, 2, 1, 2, 3, 6, 1, 3, 4, 1, 6, 3, 5, 6, 3, 5, 5, 3, 3, 3, 6, 1, 5, 3, 1, 3, 1, 6, 5, 2, 3, 1, 4, 4, 3, 6, 4, 3, 3, 1, 4, 2, 3, 3, 1, 5, 2, 6, 1, 4, 3, 1, 4, 2, 4, 5, 4, 4, 5, 2, 6, 2, 3, 3, 5, 6, 3, 2, 2, 6, 2, 5, 1, 5, 2, 2, 3, 3, 2, 4, 6, 4, 4, 4, 6, 1, 3, 3, 5, 1, 5, 5, 2, 2, 2, 1, 1, 4, 2, 3, 4, 4, 2, 5, 2, 3, 6, 5, 5, 2, 2, 4, 5, 6, 1, 5, 6, 3, 2, 5, 4, 1, 3, 6, 2, 5, 6, 3, 2, 2, 5, 6, 6, 6, 4, 1, 2, 3, 5, 1, 4, 1, 5, 3, 6, 6, 2, 6, 3, 3, 4, 6, 3, 1, 6, 5, 5, 6, 1, 1, 2, 6, 6, 1, 5, 4, 1, 1, 1, 6, 2, 5, 6, 6, 1, 6, 5, 3, 5, 1, 5, 3, 1, 2, 4, 6, 1, 2, 5, 1, 3, 1, 1, 3, 1, 6, 6, 1, 1, 6, 1, 2, 4, 1, 1, 5, 6, 6, 1, 5, 1, 6, 1, 1, 2, 4, 1, 2, 6, 6, 3, 2, 6, 3, 5, 6, 2, 4, 1, 2, 4, 1, 3, 2, 2, 4, 6, 1, 4, 1, 5, 4, 1, 6, 4, 2, 3, 5, 3, 3, 4, 5, 5, 3, 1, 3, 2, 2, 1, 2, 3, 4, 3, 6, 6, 4, 4, 5, 5, 1, 6, 3, 4, 6, 2, 2, 1, 5, 6, 3, 2, 4, 2, 6, 6, 3, 2, 2, 4, 3, 4, 1, 1, 6, 1, 6, 4, 4, 5, 2, 4, 4, 5, 2, 3, 1, 4, 4, 6, 3, 1, 1, 6, 2, 6, 6, 4, 2, 1, 2, 5, 4, 3, 5, 3, 3, 5, 1, 1, 3, 3, 4, 1, 1, 6, 3, 2, 3, 1, 1, 6, 1, 2, 5, 3, 1, 5, 1, 3, 5, 2, 1, 2, 5, 6, 5, 2, 4, 5, 2, 6, 1, 6, 1, 2, 5, 3, 4, 2, 4, 5, 1, 4, 6, 6, 6, 6, 4, 6, 3, 2, 2, 3, 3, 6, 2, 2, 2, 6, 6, 3, 6, 1, 3, 6, 3, 1, 3, 6, 3, 6, 4, 3, 3, 4, 2, 3, 3, 6, 3, 6, 1, 5, 2, 4, 4, 4, 5, 5, 4, 5, 2, 3, 5, 4, 2, 2, 5, 4, 2, 1, 3, 6, 4, 6, 3, 5, 3, 6, 5, 5, 5, 5, 4, 1, 2, 1, 5, 1, 6, 2, 5, 2, 4, 4, 5, 6, 5, 4, 3, 1, 5, 6, 6, 2, 6, 3, 1, 3, 3, 5, 2, 1, 3, 5, 2, 5, 6, 6, 6, 5, 2, 4, 1, 6, 2, 6, 5, 1, 3, 2, 1, 1, 2, 1, 3, 2, 4, 3, 4, 6, 1, 5, 1, 4, 3, 2, 3, 2, 2, 2, 1, 3, 6, 1, 3, 1, 1, 1, 1, 3, 3, 2, 4, 5, 2, 1, 6, 6, 3, 4, 5, 4, 2, 5, 2, 5, 6, 4, 6, 2, 6, 1, 4, 5, 2, 1, 5, 2, 2, 6, 4, 4, 1, 2, 3, 3, 2, 2, 2, 5, 5, 6, 3, 1, 5, 4, 5, 5, 1, 5, 6, 1, 5, 4, 5, 6, 4, 4, 1, 5, 3, 5, 3, 4, 1, 5, 1, 3, 1, 2, 2, 6, 2, 4, 6, 6, 1, 5, 4, 2, 3, 3, 2, 2, 1, 1, 2, 4, 4, 3, 2, 1, 2, 5, 5, 2, 3, 5, 5, 4, 1, 6, 3, 2, 4, 3, 2, 4, 1, 5, 6, 4, 2, 2, 5, 2, 2, 1, 6, 6, 3, 2, 1, 4, 6, 6, 6, 3, 4, 4, 6, 5, 4, 2, 6, 1, 4, 1, 5, 5, 6, 5, 2, 2, 6, 1, 4, 2, 1, 4, 2, 3, 5, 3, 1, 4, 2, 6, 1, 6, 4, 6, 4, 1, 2, 3, 2, 6, 4, 1, 4, 4, 6, 6, 6, 6, 6, 4, 1, 6, 1, 3, 3, 5, 5, 3, 3, 6, 2, 4, 5, 5, 3, 3, 6, 4, 5, 2, 4, 3, 2, 1, 1, 2, 6, 1, 1, 6, 4, 1, 5, 4, 4, 2, 3, 2, 4, 6, 2, 6, 3, 1, 5, 6, 3, 4, 4, 2, 6, 1, 5, 2, 2, 5, 3, 1, 6, 3, 1, 3, 4, 5, 1, 1, 1, 4, 3, 4, 3, 4, 3, 6, 4, 2, 5, 6, 5, 3, 1, 5, 3, 5, 6, 4, 4, 2, 5, 3, 5, 5, 6, 2, 4, 6, 3, 4, 4, 5, 2, 6, 3, 5, 6, 6, 6, 5, 6, 5, 1, 1, 3, 3, 6, 3, 1, 3, 4, 6, 6, 2, 4, 5, 4, 2, 5, 6, 6, 2, 5, 1, 2, 1, 6, 1, 6, 5, 5, 6, 4, 5, 6, 1, 2, 5, 3, 3, 2, 1, 2, 1, 2, 6, 5, 6, 1, 4, 6, 6, 5, 4, 1, 6, 4, 1, 6, 4, 6, 5, 3, 3, 4, 3, 3, 6, 1, 6, 2, 2, 6, 3, 3, 2, 2, 2, 1, 3, 5, 6, 3, 3, 3, 3, 2, 1, 3, 2, 4, 3, 6, 1, 5, 4, 3, 2, 3, 4, 1, 4, 6, 6, 1, 2, 1, 2, 4, 2, 4, 2, 1, 1, 5, 4, 3, 1, 4, 6, 2, 2, 2, 2, 2, 1, 6, 5, 3, 2, 2, 3, 6, 2, 3, 6, 3, 3, 1, 6, 4, 5, 2, 5, 5, 6, 2, 2, 1, 6, 2, 3, 2, 4, 4, 4, 5, 4, 2, 1, 5, 4, 3, 4, 5, 6, 3, 2, 3, 4, 2, 6, 3, 3, 5, 2, 3, 1, 4, 3, 1, 6, 5, 2, 4, 3, 5, 2, 1, 6, 3, 5, 4, 5, 3, 2, 5, 6, 3, 1, 3, 4, 1, 6, 1, 5, 1, 3, 6, 5, 6, 6, 4, 5, 2, 1, 2, 6, 3, 2, 6, 5, 1, 3, 4, 4, 5, 2, 3, 1, 2, 6, 5, 2, 5, 5, 1, 6, 2, 1, 4, 2, 6, 2, 6, 1, 3, 2, 1, 5, 4, 6, 4, 5, 3, 1, 2, 1, 3, 4, 1, 4, 3, 6, 6, 1, 4, 1, 1, 5, 1, 5, 6, 1, 6, 6, 2, 2, 1, 2, 1, 5, 2, 4, 3, 4, 5, 4, 5, 1, 2, 6, 5, 4, 5, 5, 5, 2, 6, 5, 1, 1, 3, 6, 1, 3, 6, 2, 5, 1, 4, 6, 5, 5, 4, 2, 3, 2, 5, 2, 3, 6, 1, 2, 4, 5, 6, 2, 1, 6, 1, 1, 6, 4, 1, 1, 6, 6, 3, 5, 6, 6, 4, 4, 5, 1, 5, 2, 3, 4, 3, 5, 4, 3, 1, 1, 2, 1, 3, 2, 6, 3, 2, 6, 1, 2, 6, 6, 1, 2, 5, 6, 1, 2, 4, 6, 3, 3, 1, 5, 6, 3, 4, 3, 5, 4, 4, 6, 4, 6, 2, 4, 3, 3, 3, 3, 5, 2, 3, 6, 4, 1, 6, 5, 3, 3, 4, 5, 5, 4, 4, 5, 1, 1, 2, 6, 5, 6, 6, 3, 6, 1, 6, 2, 4, 2, 5, 2, 4, 2, 1, 1, 2, 1, 5, 5, 3, 3, 3, 2, 6, 1, 1, 1, 1, 2, 6, 6, 1, 5, 2, 6, 5, 2, 2, 3, 4, 6, 4, 1, 1, 5, 2, 3, 6, 1, 1, 2, 3, 4, 4, 3, 4, 4, 4, 5, 6, 3, 5, 6, 2, 6, 6, 1, 2, 2, 3, 5, 2, 1, 6, 3, 6, 2, 5, 5, 2, 6, 6, 5, 4, 4, 2, 2, 1, 5, 6, 6, 1, 5, 6, 2, 5, 6, 2, 6, 1, 5, 4, 3, 5, 4, 5, 4, 5, 3, 2, 1, 3, 2, 5, 6, 6, 6, 1, 6, 5, 1, 6, 5, 5, 6, 1, 3, 6, 3, 3, 1, 2, 6, 3, 6, 4, 1, 3, 2, 4, 5, 2, 6, 1, 6, 6, 6, 6, 1, 6, 4, 1, 6, 3, 6, 5, 4, 3, 5, 1, 5, 5, 2, 5, 1, 2, 3, 2, 4, 4, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 2, 3, 6, 1, 6, 6, 6, 4, 2, 4, 4, 1, 3, 6, 6, 4, 1, 2, 5, 5, 6, 4, 1, 5, 3, 4, 4, 1, 1, 2, 5, 2, 5, 4, 3, 4, 4, 2, 2, 5, 6, 6, 6, 2, 5, 6, 6, 5, 2, 4, 4, 1, 2, 5, 6, 4, 3, 3, 4, 3, 5, 3, 5, 3, 1, 1, 1, 4, 3, 2, 3, 2, 1, 2, 4, 6, 2, 3, 5, 3, 1, 2, 4, 2, 1, 3, 6, 3, 5, 4, 5, 4, 6, 4, 6, 6, 4, 1, 4, 6, 3, 6, 2, 4, 2, 6, 3, 3, 2, 2, 6, 3, 4, 3, 4, 4, 6, 4, 6, 5, 1, 5, 2, 6, 2, 2, 6, 6, 2, 3, 6, 5, 3, 2, 2, 4, 1, 5, 6, 3, 6, 6, 5, 3, 3, 2, 1, 2, 6, 6, 1, 6, 5, 2, 6, 1, 3, 5, 1, 5, 2, 6, 4, 4, 1, 5, 2, 2, 3, 2, 4, 3, 1, 2, 6, 3, 4, 6, 5, 3, 6, 5, 3, 5, 1, 2, 5, 4, 1, 6, 2, 2, 5, 6, 6, 6, 4, 2, 2, 1, 3, 5, 4, 4, 1, 3, 6, 5, 3, 5, 2, 3, 3, 4, 1, 4, 5, 6, 1, 5, 5, 3, 1, 4, 2, 1, 3, 5, 2, 5, 6, 5, 4, 3, 2, 4, 6, 2, 3, 3, 6, 4, 5, 3, 1, 5, 6, 6, 5, 1, 4, 3, 3, 5, 1, 4, 5, 4, 3, 1, 2, 2, 5, 5, 5, 6, 3, 4, 1, 5, 6, 1, 2, 5, 4, 3, 4, 3, 2, 2, 3, 6, 5, 6, 4, 5, 3, 2, 2, 6, 2, 4, 1, 1, 2, 6, 6, 4, 3, 1, 3, 3, 1, 4, 1, 4, 6, 5, 1, 2, 6, 4, 1, 4, 3, 4, 3, 6, 6, 5, 5, 2, 2, 6, 2, 4, 5, 1, 2, 2, 1, 4, 5, 2, 1, 6, 5, 1, 4, 6, 2, 3, 4, 2, 1, 6, 5, 4, 6, 4, 2, 4, 6, 4, 4, 1, 1, 2, 1, 2, 3, 2, 5, 2, 3, 6, 1, 2, 6, 4, 2, 1, 1, 5, 3, 1, 4, 2, 5, 4, 6, 6, 2, 5, 3, 5, 5, 4, 1, 5, 5, 4, 1, 4, 5, 3, 3, 5, 5, 2, 3, 6, 3, 3, 4, 5, 4, 2, 6, 2, 5, 5, 1, 1, 3, 4, 5, 1, 1, 6, 6, 6, 3, 6, 3, 2, 3, 5, 6, 1, 1, 2, 1, 3, 4, 4, 2, 1, 6, 2, 3, 5, 6, 3, 5, 3, 1, 4, 4, 2, 3, 4, 1, 6, 4, 4, 1, 1, 3, 1, 2, 3, 2, 2, 6, 6, 6, 2, 1, 5, 3, 3, 3, 3, 6, 1, 6, 6, 5, 3, 2, 1, 1, 2, 1, 4, 6, 1, 4, 2, 1, 5, 5, 3, 1, 4, 3, 6, 5, 4, 4, 2, 1, 1, 4, 6, 2, 3, 6, 6, 6, 1, 1, 6, 3, 1, 4, 2, 2, 2, 3, 2, 1, 2, 5, 1, 5, 1, 1, 4, 5, 5, 6, 5, 5, 3, 4, 1, 6, 4, 6, 5, 5, 1, 5, 1, 2, 3, 3, 3, 5, 6, 5, 5, 1, 3, 6, 6, 4, 6, 4, 2, 4, 3, 6, 3, 5, 4, 4, 5, 1, 4, 4, 6, 4, 3, 6, 5, 5, 3, 2, 3, 2, 6, 2, 2, 3, 1, 2, 1, 1, 5, 2, 5, 1, 2, 2, 6, 5, 5, 4, 6, 2, 2, 5, 6, 4, 5, 5, 2, 1, 6, 5, 3, 6, 6, 5, 2, 1, 6, 2, 1, 4, 4, 5, 4, 5, 6, 4, 4, 4, 2, 3, 6, 3, 2, 5, 6, 1, 3, 2, 1, 2, 6, 4, 1, 6, 2, 3, 6, 1, 5, 1, 4, 2, 5, 2, 1, 5, 5, 4, 2, 6, 6, 1, 3, 2, 6, 2, 2, 2, 3, 3, 4, 3, 6, 4, 2, 1, 1, 2, 1, 5, 2, 5, 1, 6, 6, 1, 5, 5, 4, 6, 5, 4, 1, 1, 5, 6, 2, 1, 2, 5, 3, 5, 1, 3, 3, 3, 3, 3, 4, 4, 2, 6, 2, 2, 6, 2, 3, 4, 1, 6, 4, 6, 4, 4, 6, 3, 4, 2, 3, 5, 6, 6, 3, 1, 2, 6, 3, 5, 2, 1, 3, 4, 6, 4, 6, 6, 6, 2, 3, 1, 2, 6, 6, 5, 3, 5, 1, 1, 1, 4, 6, 1, 3, 2, 1, 4, 2, 4, 3, 3, 4, 5, 1, 4, 3, 6, 3, 3, 1, 6, 3, 2, 5, 2, 1, 2, 1, 1, 2, 1, 4, 1, 1, 6, 3, 2, 4, 4, 5, 1, 1, 3, 5, 1, 1, 1, 6, 4, 4, 1, 3, 6, 3, 1, 1, 3, 2, 2, 3, 4, 2, 1, 5, 3, 1, 2, 4, 4, 6, 2, 5, 1, 5, 3, 1, 5, 4, 1, 2, 1, 2, 4, 6, 4, 5, 1, 6, 1, 3, 3, 4, 4, 3, 3, 1, 3, 4, 4, 1, 4, 6, 5, 4, 5, 2, 5, 3, 6, 5, 5, 6, 1, 3, 6, 4, 1, 1, 4, 2, 3, 6, 5, 1, 3, 2, 1, 5, 6, 5, 6, 3, 5, 4, 6, 3, 6, 4, 5, 5, 3, 4, 5, 3, 6, 4, 1, 1, 5, 4, 2, 2, 4, 1, 2, 6, 2, 3, 5, 1, 2, 4, 4, 6, 2, 3, 2, 1, 1, 1, 5, 3, 4, 3, 6, 3, 1, 1, 3, 5, 5, 5, 1, 2, 5, 3, 2, 1, 5, 6, 1, 6, 4, 5, 5, 5, 1, 1, 5, 2, 1, 3, 5, 4, 6, 5, 1, 6, 5, 4, 5, 3, 2, 5, 5, 1, 1, 1, 1, 6, 1, 2, 6, 4, 6, 5, 2, 1, 5, 6, 2, 5, 3, 6, 3, 2, 4, 3, 2, 3, 6, 1, 6, 2, 6, 5, 2, 1, 5, 2, 6, 5, 3, 5, 3, 3, 4, 4, 3, 2, 4, 5, 6, 6, 4, 2, 1, 2, 5, 3, 4, 4, 3, 4, 6, 2, 2, 1, 2, 1, 2, 2, 6, 5, 1, 2, 1, 4, 5, 4, 5, 2, 2, 5, 2, 6, 1, 3, 1, 5, 5, 5, 3, 1, 2, 2, 3, 4, 3, 5, 4, 5, 6, 3, 3, 6, 4, 4, 3, 3, 2, 1, 5, 3, 6, 6, 2, 6, 2, 3, 4, 1, 2, 1, 2, 4, 3, 4, 1, 5, 3, 4, 3, 2, 1, 6, 1, 4, 4, 4, 1, 5, 5, 5, 1, 4, 5, 3, 3, 1, 6, 1, 1, 2, 2, 2, 5, 4, 6, 6, 2, 2, 4, 4, 4, 4, 4, 4, 2, 1, 1, 2, 5, 6, 6, 6, 3, 4, 3, 5, 5, 2, 6, 5, 3, 1, 1, 2, 4, 1, 1, 6, 3, 5, 4, 6, 2, 1, 4, 3, 1, 5, 4, 5, 4, 4, 4, 6, 2, 6, 5, 6, 2, 4, 5, 5, 5, 5, 6, 3, 5, 1, 2, 1, 5, 5, 1, 1, 5, 4, 4, 5, 2, 1, 3, 5, 5, 1, 4, 1, 6, 2, 6, 1, 6, 4, 6, 4, 3, 5, 6, 2, 6, 1, 2, 5, 6, 2, 6, 4, 6, 3, 2, 1, 3, 5, 5, 2, 5, 2, 2, 5, 4, 2, 6, 3, 6, 5, 1, 2, 4, 1, 3, 4, 1, 5, 3, 6, 1, 2, 4, 6, 4, 6, 6, 1, 5, 4, 2, 4, 6, 4, 2, 4, 5, 2, 1, 4, 1, 1, 5, 4, 1, 2, 2, 2, 6, 4, 2, 6, 5, 5, 5, 2, 5, 4, 2, 3, 2, 4, 6, 2, 1, 2, 5, 6, 3, 6, 3, 3, 6, 2, 1, 1, 3, 2, 2, 3, 5, 3, 2, 4, 2, 1, 5, 1, 4, 1, 3, 6, 5, 2, 2, 5, 4, 1, 4, 6, 6, 1, 2, 5, 2, 3, 5, 5, 4, 1, 1, 3, 4, 3, 6, 6, 3, 5, 6, 1, 6, 2, 6, 4, 4, 2, 3, 1, 2, 1, 1, 1, 1, 3, 6, 3, 5, 5, 1, 3, 6, 2, 5, 3, 4, 5, 2, 6, 4, 1, 6, 3, 3, 6, 1, 1, 2, 3, 2, 3, 3, 2, 4, 4, 4, 4, 6, 2, 2, 1, 4, 1, 3, 3, 4, 6, 1, 5, 6, 5, 6, 6, 2, 3, 6, 2, 3, 1, 5, 4, 4, 2, 5, 1, 5, 3, 4, 5, 4, 6, 5, 1, 6, 1, 4, 3, 1, 4, 2, 1, 2, 1, 1, 4, 4, 6, 5, 6, 6, 4, 4, 3, 5, 3, 4, 4, 5, 1, 2, 2, 6, 6, 3, 6, 1, 6, 3, 2, 4, 4, 3, 6, 5, 3, 3, 2, 2, 2, 2, 2, 5, 5, 5, 4, 1, 2, 1, 5, 3, 2, 1, 3, 2, 3, 2, 2, 3, 5, 4, 6, 2, 6, 6, 1, 2, 2, 3, 3, 3, 4, 5, 2, 3, 3, 5, 4, 5, 6, 3, 1, 1, 3, 4, 2, 6, 5, 4, 2, 4, 1, 2, 6, 6, 1, 6, 1, 3, 3, 4, 6, 1, 3, 1, 3, 5, 6, 1, 4, 5, 3, 5, 6, 6, 2, 1, 5, 1, 4, 1, 4, 4, 2, 3, 4, 3, 2, 4, 5, 5, 2, 4, 5, 4, 5, 2, 3, 5, 2, 6, 4, 5, 4, 3, 4, 5, 3, 3, 5, 1, 3, 2, 4, 5, 5, 1, 1, 6, 5, 6, 5, 6, 4, 3, 4, 3, 4, 6, 1, 6, 6, 4, 5, 3, 6, 2, 2, 3, 4, 1, 3, 1, 2, 1, 5, 6, 1, 6, 6, 6, 6, 5, 6, 3, 1, 3, 5, 5, 2, 6, 5, 1, 4, 3, 4, 4, 4, 5, 6, 2, 5, 2, 2, 1, 3, 1, 1, 3, 1, 1, 3, 6, 5, 2, 2, 6, 4, 1, 4, 6, 6, 3, 1, 4, 5, 5, 1, 3, 4, 6, 5, 2, 2, 1, 3, 4, 1, 4, 1, 1, 5, 3, 6, 3, 5, 2, 2, 2, 3, 6, 2, 2, 3, 2, 5, 1, 1, 6, 4, 4, 5, 2, 6, 1, 2, 2, 4, 2, 6, 5, 3, 4, 1, 3, 1, 5, 4, 2, 1, 6, 2, 3, 2, 4, 5, 1, 5, 5, 6, 2, 2, 5, 3, 1, 5, 4, 3, 3, 6, 2, 1, 2, 6, 1, 5, 6, 6, 2, 2, 1, 2, 3, 3, 4, 1, 1, 5, 5, 5, 5, 1, 6, 3, 3, 1, 1, 1, 3, 3, 1, 5, 4, 3, 4, 4, 1, 3, 4, 3, 4, 4, 5, 6, 1, 2, 1, 1, 6, 6, 6, 4, 6, 6, 1, 3, 6, 2, 4, 2, 5, 4, 6, 2, 6, 3, 5, 1, 5, 3, 3, 3, 1, 1, 3, 1, 3, 3, 2, 3, 3, 1, 1, 3, 6, 1, 5, 5, 2, 3, 1, 6, 1, 1, 2, 6, 4, 1, 1, 2, 3, 4, 5, 4, 4, 1, 4, 1, 3, 6, 3, 5, 6, 4, 1, 6, 5, 6, 5, 6, 2, 6, 6, 3, 6, 1, 3, 3, 1, 3, 5, 4, 6, 3, 1, 4, 3, 5, 4, 6, 4, 1, 5, 4, 5, 5, 3, 3, 5, 2, 3, 1, 1, 3, 3, 1, 4, 5, 3, 5, 1, 2, 2, 1, 4, 3, 4, 1, 1, 2, 6, 5, 2, 4, 2, 6, 3, 5, 3, 2, 1, 5, 2, 1, 1, 5, 1, 4, 3, 4, 2, 4, 5, 4, 4, 3, 6, 2, 3, 1, 3, 3, 5, 5, 6, 1, 5, 3, 5, 1, 4, 6, 5, 6, 6, 6, 4, 1, 4, 1, 4, 5, 5, 3, 3, 3, 5, 3, 4, 1, 3, 1, 4, 1, 5, 3, 2, 3, 6, 1, 4, 4, 6, 3, 3, 6, 2, 1, 6, 5, 1, 4, 4, 5, 1, 6, 2, 5, 2, 5, 6, 5, 5, 3, 6, 3, 6, 1, 6, 6, 1, 3, 3, 1, 6, 5, 6, 1, 5, 6, 6, 6, 4, 3, 5, 4, 3, 6, 3, 5, 4, 3, 3, 3, 6, 3, 6, 5, 3, 6, 5, 4, 2, 1, 4, 1, 5, 4, 2, 4, 3, 1, 4, 1, 4, 2, 5, 1, 1, 1, 5, 5, 4, 2, 2, 3, 4, 1, 2, 1, 6, 6, 4, 2, 6, 2, 3, 5, 5, 5, 3, 2, 5, 6, 3, 3, 2, 1, 3, 2, 1, 2, 1, 4, 3, 2, 1, 1, 3, 2, 2, 2, 1, 6, 4, 6, 2, 6, 4, 6, 4, 6, 2, 3, 6, 4, 6, 1, 4, 2, 3, 5, 3, 4, 3, 6, 5, 3, 1, 2, 4, 2, 4, 4, 2, 1, 4, 3, 1, 2, 3, 5, 1, 5, 1, 1, 2, 1, 1, 6, 2, 3, 5, 5, 6, 2, 5, 5, 5, 5, 6, 3, 1, 3, 1, 2, 4, 4, 5, 4, 5, 1, 3, 6, 5, 4, 6, 1, 4, 1, 1, 5, 4, 5, 3, 4, 1, 2, 2, 5, 6, 2, 1, 1, 5, 1, 3, 2, 5, 1, 6, 3, 2, 2, 3, 6, 5, 2, 1, 2, 2, 1, 1, 6, 6, 4, 3, 6, 5, 4, 5, 5, 6, 6, 5, 5, 1, 1, 1, 5, 2, 6, 2, 3, 2, 4, 3, 1, 6, 3, 3, 2, 4, 3, 1, 3, 6, 3, 3, 5, 1, 1, 3, 6, 1, 1, 4, 1, 2, 4, 6, 4, 4, 1, 1, 5, 5, 3, 5, 4, 6, 1, 5, 3, 4, 6, 5, 4, 2, 1, 2, 2, 2, 4, 1, 2, 4, 5, 3, 6, 2, 2, 3, 5, 2, 3, 4, 6, 6, 3, 4, 5, 4, 3, 1, 2, 2, 6, 5, 3, 1, 6, 5, 2, 3, 5, 4, 1, 4, 6, 6, 5, 2, 3, 4, 3, 6, 2, 3, 5, 5, 1, 4, 2, 3, 5, 3, 5, 4, 2, 1, 4, 1, 5, 6, 3, 4, 4, 3, 2, 4, 3, 1, 5, 5, 5, 1, 4, 6, 4, 3, 5, 5, 6, 1, 1, 4, 3, 5, 2, 5, 6, 6, 5, 5, 5, 1, 3, 3, 4, 4, 6, 6, 4, 4, 5, 2, 5, 3, 2, 3, 5, 6, 1, 5, 6, 1, 3, 3, 6, 4, 1, 6, 3, 5, 5, 2, 6, 1, 4, 3, 5, 3, 3, 3, 1, 1, 5, 5, 3, 1, 1, 2, 1, 1, 6, 6, 2, 3, 3, 2, 6, 4, 2, 3, 3, 6, 4, 2, 1, 2, 5, 6, 5, 1, 2, 5, 2, 1, 4, 4, 1, 4, 6, 1, 5, 6, 1, 1, 2, 3, 2, 2, 1, 3, 4, 3, 3, 2, 5, 3, 3, 3, 3, 2, 4, 4, 6, 5, 5, 3, 2, 5, 1, 1, 6, 6, 1, 6, 6, 2, 3, 1, 3, 3, 4, 6, 6, 1, 2, 4, 4, 5, 6, 6, 6, 3, 4, 6, 1, 2, 3, 3, 1, 3, 4, 6, 2, 4, 6, 1, 5, 3, 2, 2, 5, 6, 2, 4, 6, 3, 1, 4, 1, 1, 3, 1, 3, 1, 6, 4, 2, 2, 6, 3, 4, 4, 2, 6, 1, 2, 1, 6, 4, 3, 2, 3, 2, 3, 1, 2, 5, 2, 5, 6, 2, 2, 6, 5, 2, 5, 2, 4, 1, 2, 6, 5, 6, 2, 4, 6, 3, 5, 6, 1, 1, 1, 3, 3, 4, 4, 4, 2, 5, 3, 2, 6, 5, 2, 5, 6, 1, 6, 3, 1, 2, 3, 5, 1, 4, 3, 1, 1, 2, 1, 1, 2, 1, 4, 5, 4, 1, 2, 6, 5, 5, 2, 5, 3, 3, 3, 2, 3, 3, 5, 4, 4, 1, 3, 5, 5, 6, 5, 5, 1, 5, 6, 3, 6, 4, 1, 4, 5, 3, 3, 4, 1, 4, 2, 4, 1, 5, 6, 4, 1, 4, 1, 5, 5, 3, 4, 4, 2, 2, 3, 3, 1, 3, 5, 1, 6, 5, 4, 5, 2, 6, 2, 2, 4, 4, 5, 5, 2, 4, 2, 3, 2, 2, 2, 1, 5, 5, 4, 6, 1, 1, 2, 2, 3, 1, 2, 3, 6, 5, 1, 1, 5, 2, 2, 3, 5, 1, 1, 1, 5, 3, 3, 1, 4, 5, 1, 3, 4, 5, 2, 4, 5, 4, 6, 2, 5, 1, 4, 4, 6, 4, 4, 4, 5, 6, 1, 4, 6, 1, 4, 5, 4, 1, 5, 1, 5, 6, 3, 3, 5, 5, 1, 4, 3, 6, 5, 1, 6, 2, 4, 5, 6, 2, 3, 5, 1, 3, 2, 1, 4, 6, 5, 1, 6, 4, 2, 5, 3, 5, 1, 1, 3, 1, 5, 6, 6, 3, 1, 6, 5, 4, 5, 5, 6, 2, 3, 6, 4, 4, 6, 1, 4, 5, 2, 3, 2, 3, 2, 4, 1, 2, 5, 4, 3, 4, 4, 3, 6, 4, 3, 5, 2, 1, 3, 1, 2, 6, 6, 6, 3, 6, 1, 1, 4, 2, 3, 5, 5, 4, 3, 6, 6, 2, 4, 3, 5, 1, 5, 5, 4, 2, 3, 6, 3, 6, 6, 4, 5, 6, 4, 2, 5, 4, 2, 2, 6, 5, 1, 5, 3, 3, 4, 2, 5, 2, 5, 3, 2, 4, 1, 6, 5, 4, 5, 1, 4, 5, 5, 2, 4, 2, 3, 2, 6, 5, 4, 5, 3, 4, 3, 5, 1, 1, 1, 5, 2, 5, 2, 4, 2, 3, 3, 6, 6, 2, 6, 4, 6, 5, 5, 4, 6, 2, 6, 5, 6, 3, 4, 3, 1, 6, 1, 1, 1, 1, 6, 2, 6, 2, 6, 1, 4, 2, 1, 4, 4, 1, 1, 4, 5, 5, 2, 5, 1, 1, 3, 1, 3, 6, 3, 4, 6, 3, 5, 1, 4, 4, 3, 3, 6, 2, 4, 3, 3, 5, 6, 1, 5, 1, 5, 4, 6, 6, 2, 6, 6, 4, 6, 3, 4, 2, 6, 4, 5, 4, 5, 3, 2, 1, 6, 1, 2, 3, 4, 5, 1, 4, 5, 6, 4, 4, 3, 4, 3, 4, 3, 2, 2, 3, 5, 6, 5, 4, 4, 3, 2, 2, 6, 4, 2, 5, 5, 3, 2, 3, 1, 3, 6, 6, 2, 4, 3, 5, 1, 6, 3, 3, 1, 5, 6, 6, 4, 4, 4, 2, 1, 6, 4, 6, 3, 5, 5, 2, 2, 6, 4, 3, 3, 4, 3, 4, 1, 5, 3, 1, 5, 5, 4, 5, 3, 3, 5, 1, 1, 2, 3, 1, 1, 6, 1, 4, 5, 5, 5, 6, 5, 3, 3, 1, 6, 5, 5, 6, 4, 1, 1, 2, 6, 4, 1, 3, 1, 5, 3, 1, 1, 5, 2, 1, 5, 2, 4, 3, 1, 3, 3, 6, 5, 5, 6, 5, 4, 5, 4, 2, 6, 4, 4, 5, 2, 5, 1, 2, 3, 4, 3, 4, 3, 4, 4, 1, 5, 2, 3, 6, 5, 5, 5, 4, 4, 5, 2, 1, 3, 6, 2, 2, 4, 6, 1, 5, 4, 1, 1, 1, 5, 3, 4, 1, 6, 2, 1, 5, 4, 4, 4, 2, 2, 3, 5, 6, 1, 6, 6, 4, 5, 2, 5, 2, 1, 5, 1, 5, 6, 1, 5, 5, 3, 2, 5, 2, 4, 6, 1, 1, 4, 4, 2, 6, 6, 6, 5, 1, 6, 5, 4, 5, 6, 3, 6, 1, 2, 6, 5, 2, 1, 4, 6, 3, 5, 5, 5, 2, 5, 5, 3, 2, 2, 4, 1, 2, 4, 5, 3, 4, 3, 6, 2, 3, 2, 1, 4, 3, 1, 3, 4, 1, 6, 4, 4, 4, 2, 2, 6, 6, 6, 3, 1, 2, 6, 2, 4, 4, 1, 6, 1, 4, 6, 3, 6, 2, 3, 4, 4, 4, 6, 2, 5, 5, 6, 2, 3, 1, 4, 3, 1, 4, 5, 1, 6, 5, 3, 4, 2, 3, 3, 3, 1, 3, 5, 1, 4, 2, 4, 2, 5, 3, 4, 4, 2, 3, 6, 4, 3, 3, 6, 3, 1, 4, 4, 6, 2, 6, 3, 4, 3, 6, 6, 3, 2, 4, 4, 6, 6, 1, 1, 5, 4, 4, 2, 5, 6, 1, 2, 2, 4, 2, 5, 4, 6, 2, 3, 1, 2, 6, 5, 5, 5, 4, 2, 1, 2, 5, 6, 1, 6, 6, 5, 3, 3, 1, 1, 3, 1, 3, 5, 5, 4, 3, 2, 4, 5, 5, 4, 1, 4, 3, 6, 2, 6, 1, 2, 2, 6, 1, 3, 6, 1, 2, 2, 3, 2, 3, 5, 3, 6, 4, 1, 4, 6, 2, 1, 5, 6, 5, 5, 3, 1, 4, 5, 1, 5, 6, 2, 5, 1, 5, 4, 1, 6, 6, 4, 1, 3, 3, 3, 3, 6, 3, 6, 6, 5, 1, 4, 5, 5, 2, 1, 6, 6, 5, 6, 4, 5, 2, 3, 6, 6, 1, 6, 6, 1, 4, 6, 4, 1, 3, 6, 6, 5, 6, 5, 4, 6, 2, 2, 5, 4, 3, 5

Gimme a sec…. counting…

Phew!

Ones:  1652 or 16.52%
Twos:  1674 or 16.74%
Threes:  1687 or 16.87%
Fours:  1623 or 16.23%
Fives:    1693 or 16.93%
Sixes:    1671 or 16.71%

Since “perfect” would be 16.6666667% each, the “worst” result was the fours and that only delivered 44 “too few” fours than it should have - and that is out of ten thousand rolls.

Good enough for me!  8-)

This method starting sorting in my game.  Testing out if it sorts here…
Rolling 30d6:
(1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6)

Yeah so the dice roller sorts now.  Can anyone explain how I use it now with the rolls sorted?

The new dice roller should be much eacsier for your games. Now you can specify multiple “groups” of dice to roll at the same time.

For instance…

dice 3d6 1d6 1d6 2d6 3d6
Rolling 3d6 1d6 1d6 2d6 3d6:
(2, 4, 5)  (5)  (4)  (2, 5)  (3, 4, 6)

Why is this easier? You can do a battle like so…

Attackers: 5 inf, 3 arm
5d6 @ 1, 3d6 @ 3
dice 5d6 3d6
Rolling 5d6 3d6:
(2, 3, 3, 4, 4)  (3, 3, 6)

Defenders: 4 inf, 1 ftr
4d6 @ 2, 1d6 @ 4
dice 4d6 1d6
Rolling 4d6 1d6:
(2, 4, 5, 5)  (2)

Since they are sorted it’s easy to find the hits.

Yeah, happened to me too. Seemed strange to me after my AC and Inf were all hitting, and my Ftrs came up empty in every battle on J1…

The way you do it now is to either do separate rolls, or you can do it like this:
Suppose 5 Inf 2 Ftrs attacking (5@1, 2@3):
;dice 5d6 2d6;

Substitute the semicolons with colons:
5 Inf 2 Ftrs attacking (5@1, 2@3):
Rolling 5d6 2d6:
(1, 2, 3, 3, 4)  (2, 3)

Here’s another quick tip … if you’re posting dice, it can be really annoying that afterwards it goes back to the forum instead of the thread of messages. You can fix this 2 ways …

Manually, each time click “Additional Options->Return to this Topic”

Automatically, click “Profile->Look and Layout Preferences->Return to topics after posting by default” and Save

Yeah, sorry everybody about changing it like that. I put a message in the Website Discussion forum but next time I’ll put it in announcements. So always check for announcements first.

test
Rolling 2d6 3d6 4d6:
(4, 6)  (3, 5, 6)  (2, 4, 5, 6)

Testing new feature (default is ‘d6’ so don’t have to specify):

Attacker 3inf 1arm Defender 2inf
Rolling 3 1 2:
(1, 2, 4)  (5)  (1, 2)

I hate those dug-in defenders  :roll:

How does this work?  This looks like a neat idea!

;dice 5d6 2d6;

Rolling 5d6 2d6:
(1, 1, 2, 6, 6)  (5, 6)