Rolling 21 6-sided dice:
3, 2, 3, 3, 1, 5, 1, 1, 2, 6, 1, 5, 2, 1, 4, 1, 6, 4, 5, 2, 4
Rolling 11 6-sided dice:
6, 3, 1, 5, 1, 2, 1, 3, 1, 3, 6
Rolling 6 6-sided dice:
3, 5, 5, 4, 3, 4
That’s really cool!!
:dice4d6:
Rolling 4 6-sided dice:
6, 4, 2, 4
Rolling 4 6-sided dice:
3, 5, 5, 6
<:>6d6<:>
Anyone else having problems receiving e-mail results from DAAK?
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.
