Randomness and Analytics of Die Rolls

[damned]

Some people like numbers waaaay too much!
I am having some issues finishing the coding on this roll.
Once that works you can roll bigger data sets.

It will also display a simple % measure of each number rolled but I have no idea if I can calculate those other stats you have done.

[Weissrolf]

Doubles can easily be calculated, just subtract one roll from the other (=0).

[damned]

I set it up to roll 10,000 d6 and this is the result

#1 | #1685 | s'16%'
#2 | #1721 | s'17%'
#3 | #1651 | s'16%'
#4 | #1818 | s'18%'
#5 | #1557 | s'15%'
#6 | #1568 | s'15%'
#7 | #10000 | s'100%'



s'sResults' | s'6, 1, 5, 6, 1, 5, 6, 1, 2, 2, 2, 3, 2, 1, 4, 1, 4, 4, 1, 4, 5, 1, 2, 2, 1, 1, 3, 6, 3, 6, 6, 5, 2, 3, 3, 2, 4, 5, 2, 4, 5, 6, 5, 4, 6, 5, 6, 4, 2, 4, 4, 6, 2, 1, 6, 5, 4, 5, 4, 4, 4, 4, 3, 2, 6, 4, 6, 4, 6, 6, 2, 1, 3, 5, 4, 5, 5, 3, 1, 2, 3, 2, 1, 3, 4, 6, 2, 6, 2, 5, 1, 6, 4, 5, 4, 5, 2, 3, 1, 4, 6, 2, 6, 3, 6, 6, 1, 2, 2, 3, 6, 1, 4, 1, 2, 5, 5, 4, 6, 5, 5, 4, 2, 6, 2, 4, 3, 2, 2, 6, 3, 5, 2, 5, 4, 4, 5, 3, 1, 1, 6, 4, 2, 4, 4, 3, 1, 1, 3, 5, 5, 2, 1, 5, 1, 1, 6, 1, 2, 1, 6, 3, 1, 4, 5, 3, 6, 3, 2, 6, 2, 6, 4, 3, 1, 1, 1, 4, 6, 4, 4, 4, 2, 2, 1, 1, 1, 6, 6, 5, 3, 4, 4, 2, 3, 3, 1, 3, 5, 4, 4, 4, 1, 4, 1, 5, 6, 3, 6, 1, 2, 3, 1, 1, 2, 2, 2, 6, 4, 1, 5, 3, 3, 1, 4, 2, 6, 6, 6, 4, 2, 5, 3, 4, 3, 5, 3, 1, 4, 5, 1, 4, 1, 1, 6, 5, 1, 6, 2, 1, 4, 6, 4, 2, 6, 1, 3, 5, 1, 3, 4, 1, 1, 1, 4, 4, 2, 6, 4, 2, 4, 3, 3, 2, 1, 3, 4, 4, 4, 4, 6, 4, 3, 4, 6, 2, 4, 6, 1, 1, 3, 4, 2, 5, 5, 2, 4, 3, 2, 4, 2, 1, 3, 3, 2, 2, 5, 5, 6, 4, 3, 1, 6, 2, 4, 5, 1, 6, 6, 5, 4, 1, 4, 2, 5, 4, 4, 5, 5, 1, 5, 4, 2, 2, 6, 1, 3, 3, 3, 2, 3, 4, 4, 3, 6, 3, 2, 4, 5, 2, 6, 4, 1, 5, 2, 4, 4, 6, 5, 2, 1, 2, 5, 2, 4, 5, 3, 6, 1, 1, 5, 5, 3, 4, 3, 6, 4, 5, 1, 4, 6, 5, 1, 1, 4, 2, 3, 4, 5, 4, 5, 4, 3, 4, 1, 4, 4, 2, 2, 4, 4, 6, 3, 6, 2, 5, 4, 3, 2, 4, 4, 4, 2, 4, 5, 2, 6, 2, 1, 6, 2, 1, 1, 5, 6, 6, 5, 3, 4, 1, 2, 4, 6, 6, 3, 5, 1, 5, 6, 3, 6, 1, 3, 5, 4, 2, 5, 4, 4, 6, 5, 3, 2, 5, 5, 6, 1, 2, 3, 4, 4, 3, 3, 5, 5, 2, 3, 2, 2, 1, 3, 1, 1, 4, 4, 1, 5, 2, 4, 5, 3, 4, 5, 1, 1, 5, 3, 2, 3, 3, 1, 6, 4, 1, 5, 1, 4, 5, 4, 1, 6, 4, 2, 4, 5, 3, 5, 1, 6, 2, 3, 1, 5, 6, 4, 5, 6, 5, 2, 3, 6, 1, 3, 4, 5, 3, 6, 2, 4, 1, 1, 6, 1, 2, 5, 5, 6, 3, 4, 3, 4, 4, 3, 2, 4, 4, 4, 2, 1, 5, 4, 1, 4, 4, 4, 6, 3, 3, 3, 4, 2, 6, 3, 2, 4, 1, 6, 6, 4, 5, 6, 2, 2, 5, 5, 3, 4, 6, 4, 1, 4, 2, 5, 2, 3, 2, 4, 4, 6, 3, 5, 6, 2, 1, 6, 4, 6, 5, 3, 5, 6, 4, 3, 1, 1, 1, 5, 5, 3, 6, 1, 3, 4, 2, 5, 1, 3, 1, 4, 2, 3, 1, 6, 4, 4, 2, 6, 1, 4, 2, 2, 6, 2, 5, 1, 1, 2, 4, 4, 2, 3, 1, 3, 6, 2, 1, 2, 2, 6, 3, 5, 4, 2, 6, 3, 1, 6, 6, 2, 6, 5, 2, 2, 5, 5, 4, 5, 3, 6, 2, 2, 4, 1, 5, 2, 6, 5, 3, 4, 6, 2, 4, 2, 3, 4, 3, 5, 4, 2, 2, 4, 1, 2, 2, 6, 3, 1, 2, 2, 5, 1, 6, 1, 4, 5, 6, 1, 4, 2, 3, 2, 3, 2, 4, 4, 4, 3, 5, 6, 1, 3, 2, 6, 3, 6, 3, 3, 2, 2, 1, 2, 5, 4, 6, 4, 4, 1, 3, 5, 2, 4, 1, 3, 4, 2, 3, 5, 4, 6, 6, 1, 6, 5, 3, 1, 6, 4, 6, 6, 5, 4, 6, 5, 5, 2, 3, 5, 6, 2, 2, 3, 6, 4, 1, 4, 3, 4, 6, 3, 6, 2, 5, 4, 6, 4, 6, 1, 1, 1, 1, 5, 6, 2, 2, 2, 2, 4, 5, 1, 5, 3, 1, 5, 6, 5, 1, 5, 6, 1, 1, 6, 5, 6, 5, 5, 3, 6, 1, 4, 1, 3, 5, 5, 1, 5, 4, 4, 1, 4, 4, 4, 5, 3, 4, 4, 5, 6, 5, 5, 2, 1, 6, 6, 6, 5, 6, 4, 1, 5, 5, 5, 1, 6, 5, 5, 4, 6, 6, 1, 5, 2, 4, 3, 3, 6, 3, 4, 5, 1, 5, 5, 2, 5, 2, 5, 4, 4, 3, 2, 5, 5, 1, 4, 6, 1, 3, 3, 3, 5, 5, 4, 1, 6, 1, 3, 3, 2, 1, 5, 4, 4, 2, 2, 6, 4, 5, 6, 2, 1, 3, 3, 6, 3, 6, 2, 1, 1, 2, 5, 2, 3, 4, 4, 5, 4, 4, 1, 4, 4, 2, 6, 3, 4, 4, 4, 6, 3, 5, 6, 4, 6, 5, 3, 3, 2, 2, 1, 3, 1, 5, 4, 4, 6, 1, 5, 4, 5, 4, 4, 5, 1, 6, 3, 4, 5, 1, 5, 2, 3, 4, 5, 4, 3, 5, 4, 1, 1, 1, 5, 2, 4, 6, 5, 5, 5, 2, 3, 2, 5, 6, 1, 2, 3, 5, 4, 3, 1, 5, 6, 4, 3, 4, 3, 1, 4, 3, 5, 2, 2, 1, 1, 3, 3, 2, 2, 6, 4, 4, 5, 3, 5, 5, 1, 6, 1, 4, 6, 2, 6, 6, 1, 1, 3, 2, 1, 6, 1, 3, 3, 2, 3, 4, 6, 1, 5, 3, 4, 4, 3, 1, 3, 6, 1, 1, 6, 1, 2, 6, 6, 4, 4, 2, 4, 5, 1, 5, 5, 1, 1, 1, 3, 6, 6, 1, 4, 2, 2, 1, 3, 4, 1, 5, 2, 4, 4, 4, 2, 2, 1, 6, 4, 5, 5, 5, 4, 6, 1, 6, 1, 4, 2, 4, 6, 2, 6, 4, 2, 1, 4, 3, 5, 3, 1, 3, 5, 4, 4, 4, 5, 3, 4, 6, 3, 1, 4, 5, 2, 6, 6, 3, 2, 3, 5, 3, 4, 1, 1, 1, 2, 1, 3, 4, 4, 3, 1, 5, 3, 6, 4, 4, 2, 6, 4, 4, 3, 5, 1, 5, 3, 6, 3, 1, 3, 6, 6, 6, 1, 5, 4, 1, 4, 1, 1, 2, 3, 4, 4, 3, 6, 5, 6, 6, 2, 6, 2, 3, 1, 1, 5, 6, 5, 2, 1, 6, 4, 2, 2, 6, 2, 2, 2, 3, 2, 5, 5, 6, 5, 5, 4, 6, 2, 1, 2, 2, 2, 4, 1, 2, 3, 2, 5, 6, 1, 5, 3, 5, 3, 3, 4, 4, 2, 2, 2, 3, 4, 6, 2, 1, 3, 5, 5, 2, 6, 5, 5, 2, 6, 6, 4, 1, 1, 3, 2, 3, 2, 1, 1, 2, 4, 3, 4, 4, 3, 6, 6, 2, 5, 6, 3, 4, 5, 6, 6, 3, 1, 3, 6, 1, 1, 6, 4, 3, 5, 3, 4, 4, 4, 1, 4, 1, 6, 2, 3, 5, 2, 4, 3, 5, 6, 4, 4, 5, 6, 6, 3, 6, 2, 4, 5, 2, 2, 3, 4, 4, 6, 4, 2, 4, 3, 2, 1, 2, 5, 2, 6, 5, 1, 2, 1, 1, 1, 1, 4, 3, 5, 3, 3, 1, 5, 1, 1, 2, 1, 4, 3, 6, 6, 4, 5, 5, 3, 2, 2, 4, 5, 6, 2, 6, 1, 1, 6, 2, 1, 6, 4, 1, 5, 6, 3, 2, 5, 3, 4, 4, 6, 5, 6, 5, 4, 1, 3, 5, 5, 2, 4, 4, 5, 3, 6, 1, 1, 6, 1, 2, 5, 5, 1, 2, 4, 1, 6, 2, 2, 2, 1, 3, 4, 1, 6, 3, 6, 2, 4, 6, 5, 3, 1, 2, 1, 6, 4, 4, 4, 6, 6, 4, 5, 6, 4, 3, 4, 2, 2, 2, 3, 2, 6, 6, 3, 4, 6, 4, 2, 4, 6, 1, 3, 5, 2, 6, 6, 5, 4, 3, 1, 5, 2, 5, 3, 3, 1, 6, 5, 1, 1, 4, 5, 1, 6, 2, 1, 4, 6, 5, 3, 1, 5, 2, 4, 6, 3, 4, 1, 5, 2, 5, 5, 3, 2, 3, 5, 1, 2, 5, 3, 1, 6, 5, 1, 4, 3, 5, 5, 1, 3, 5, 4, 3, 4, 6, 4, 6, 5, 3, 6, 4, 4, 6, 2, 6, 5, 5, 4, 4, 1, 6, 6, 4, 5, 5, 2, 4, 1, 1, 5, 3, 6, 5, 4, 1, 1, 1, 5, 4, 2, 3, 4, 2, 1, 1, 5, 1, 1, 2, 2, 3, 3, 4, 4, 3, 4, 4, 1, 2, 5, 3, 5, 2, 6, 4, 1, 1, 1, 4, 3, 6, 4, 5, 6, 6, 4, 1, 4, 6, 4, 6, 3, 6, 3, 5, 6, 3, 5, 2, 3, 5, 6, 3, 4, 2, 6, 1, 1, 3, 2, 4, 1, 5, 5, 1, 4, 6, 1, 4, 6, 3, 6, 3, 6, 4, 4, 1, 5, 2, 4, 5, 5, 2, 3, 4, 2, 1, 4, 6, 4, 3, 3, 3, 2, 2, 1, 2, 2, 5, 6, 3, 6, 1, 1, 2, 5, 6, 4, 5, 6, 1, 5, 6, 4, 5, 2, 4, 1, 6, 4, 5, 4, 2, 5, 4, 6, 6, 3, 5, 4, 3, 5, 5, 2, 5, 1, 6, 3, 1, 3, 1, 1, 1, 4, 2, 1, 2, 1, 1, 6, 6, 4, 6, 3, 3, 2, 6, 5, 4, 2, 4, 6, 2, 5, 4, 3, 5, 6, 2, 4, 1, 6, 1, 3, 2, 6, 5, 5,

[damned]

1, 2, 2, 1, 4, 6, 4, 2, 2, 2, 2, 5, 6, 3, 4, 3, 5, 2, 3, 2, 1, 3, 6, 4, 2, 1, 2, 2, 4, 5, 6, 5, 4, 5, 6, 1, 6, 1, 2, 2, 5, 3, 3, 3, 2, 6, 5, 3, 1, 2, 5, 6, 1, 5, 3, 5, 1, 5, 6, 4, 6, 1, 3, 3, 2, 3, 5, 4, 1, 2, 6, 2, 4, 5, 6, 6, 3, 6, 4, 5, 4, 2, 3, 3, 6, 5, 4, 6, 5, 3, 5, 4, 2, 2, 5, 6, 5, 4, 4, 5, 1, 4, 1, 3, 3, 4, 4, 4, 6, 4, 6, 6, 3, 5, 5, 1, 2, 5, 6, 3, 6, 5, 1, 2, 2, 5, 2, 5, 2, 5, 4, 4, 5, 6, 1, 2, 6, 3, 4, 6, 4, 1, 5, 5, 6, 6, 4, 2, 1, 4, 3, 3, 2, 3, 1, 1, 1, 4, 3, 1, 2, 6, 4, 5, 3, 3, 4, 4, 1, 5, 3, 6, 2, 2, 2, 3, 4, 4, 1, 5, 1, 5, 5, 1, 1, 4, 5, 3, 3, 6, 1, 6, 5, 3, 6, 1, 3, 3, 5, 2, 2, 6, 2, 1, 4, 4, 3, 5, 6, 5, 1, 1, 6, 5, 5, 3, 5, 5, 3, 2, 5, 1, 3, 4, 2, 2, 5, 3, 4, 1, 3, 3, 5, 4, 5, 4, 5, 5, 6, 2, 1, 1, 3, 6, 2, 2, 4, 2, 6, 1, 3, 2, 6, 5, 4, 5, 2, 4, 4, 5, 5, 1, 5, 5, 1, 3, 1, 2, 5, 1, 3, 1, 4, 5, 1, 1, 4, 1, 3, 3, 1, 6, 3, 5, 3, 4, 4, 2, 3, 1, 4, 3, 5, 1, 4, 3, 1, 2, 4, 4, 6, 3, 1, 6, 3, 3, 4, 3, 4, 3, 1, 4, 4, 5, 2, 4, 4, 3, 5, 3, 6, 2, 3, 3, 4, 2, 5, 2, 3, 5, 3, 1, 6, 2, 1, 5, 1, 1, 3, 4, 3, 3, 1, 5, 4, 1, 3, 6, 4, 6, 6, 5, 4, 1, 4, 5, 3, 5, 4, 5, 1, 5, 6, 4, 1, 3, 2, 4, 1, 6, 6, 2, 6, 3, 5, 5, 4, 6, 1, 2, 4, 1, 4, 2, 5, 5, 1, 2, 6, 6, 1, 5, 3, 5, 1, 1, 1, 5, 2, 4, 3, 5, 5, 5, 6, 6, 6, 1, 5, 5, 4, 5, 3, 2, 5, 6, 6, 2, 4, 1, 4, 3, 4, 4, 6, 5, 4, 5, 1, 6, 1, 3, 2, 1, 1, 5, 4, 3, 2, 5, 3, 3, 1, 1, 5, 4, 3, 5, 6, 6, 5, 6, 4, 1, 3, 2, 3, 4, 2, 5, 6, 4, 1, 3, 6, 2, 2, 3, 4, 3, 2, 3, 6, 4, 1, 2, 5, 2, 1, 6, 3, 2, 2, 6, 6, 6, 6, 2, 3, 4, 1, 4, 6, 5, 2, 3, 6, 2, 6, 3, 1, 1, 3, 1, 5, 3, 6, 4, 6, 1, 3, 6, 6, 6, 5, 5, 5, 6, 1, 6, 3, 4, 3, 6, 1, 2, 3, 4, 6, 4, 1, 4, 1, 2, 1, 1, 3, 4, 2, 6, 6, 4, 4, 3, 3, 3, 1, 1, 1, 5, 1, 1, 3, 2, 6, 3, 5, 1, 1, 1, 1, 5, 2, 2, 3, 4, 5, 4, 3, 6, 1, 2, 2, 5, 5, 1, 6, 4, 2, 6, 2, 1, 2, 1, 2, 1, 4, 3, 5, 3, 6, 4, 6, 1, 2, 3, 4, 1, 5, 6, 3, 5, 1, 3, 4, 4, 6, 5, 3, 4, 3, 6, 6, 3, 5, 2, 2, 5, 5, 1, 5, 3, 6, 5, 5, 6, 5, 3, 5, 3, 5, 6, 5, 1, 2, 1, 4, 6, 1, 2, 1, 6, 1, 1, 6, 1, 2, 2, 6, 6, 4, 2, 2, 4, 2, 1, 4, 6, 3, 5, 4, 3, 2, 4, 2, 6, 6, 4, 2, 4, 2, 3, 3, 5, 3, 6, 5, 5, 4, 4, 5, 3, 1, 6, 2, 6, 5, 4, 2, 5, 4, 5, 5, 5, 2, 2, 1, 1, 5, 4, 2, 1, 1, 2, 5, 4, 5, 5, 3, 6, 5, 6, 4, 5, 3, 4, 5, 4, 6, 5, 5, 3, 2, 2, 6, 1, 6, 5, 5, 5, 6, 6, 4, 6, 4, 4, 4, 6, 3, 6, 2, 2, 6, 3, 4, 2, 5, 6, 3, 4, 3, 4, 1, 6, 3, 2, 4, 3, 2, 5, 1, 5, 6, 4, 1, 5, 3, 1, 4, 3, 4, 1, 5, 3, 6, 5, 5, 3, 5, 5, 1, 2, 3, 4, 2, 5, 1, 4, 5, 1, 5, 3, 1, 1, 1, 6, 1, 5, 5, 3, 2, 3, 5, 5, 3, 3, 6, 5, 6, 6, 2, 5, 1, 4, 4, 1, 3, 5, 4, 6, 6, 1, 5, 6, 4, 4, 2, 5, 2, 6, 3, 3, 2, 5, 2, 1, 3, 5, 6, 2, 6, 1, 4, 2, 5, 6, 5, 5, 3, 3, 4, 3, 4, 3, 3, 2, 4, 4, 6, 1, 2, 3, 1, 2, 1, 1, 5, 4, 4, 6, 2, 6, 6, 3, 5, 6, 6, 5, 4, 3, 3, 6, 3, 2, 4, 6, 2, 4, 5, 4, 4, 6, 4, 1, 6, 3, 3, 1, 3, 2, 2, 6, 3, 6, 5, 6, 5, 5, 4, 4, 3, 2, 2, 5, 5, 5, 2, 2, 6, 3, 5, 6, 5, 1, 5, 6, 6, 6, 2, 3, 6, 1, 2, 6, 6, 2, 5, 4, 4, 3, 2, 5, 2, 3, 5, 4, 4, 4, 1, 6, 4, 4, 2, 5, 5, 3, 6, 4, 5, 3, 4, 1, 3, 3, 3, 2, 2, 1, 3, 3, 2, 1, 2, 1, 3, 5, 1, 4, 1, 2, 5, 1, 3, 3, 2, 4, 4, 4, 3, 5, 4, 4, 2, 5, 6, 3, 3, 6, 2, 6, 4, 1, 3, 6, 4, 5, 3, 3, 3, 3, 5, 4, 5, 6, 2, 1, 6, 3, 3, 2, 3, 4, 3, 5, 2, 5, 2, 5, 1, 4, 4, 6, 6, 4, 1, 4, 1, 6, 2, 3, 5, 4, 1, 6, 5, 2, 3, 1, 1, 4, 6, 4, 4, 2, 2, 2, 1, 5, 3, 1, 6, 2, 2, 4, 2, 3, 2, 5, 3, 3, 5, 4, 1, 1, 3, 4, 3, 5, 5, 2, 3, 5, 1, 3, 1, 2, 6, 3, 5, 3, 4, 1, 6, 2, 4, 5, 3, 5, 3, 2, 2, 2, 4, 4, 3, 4, 3, 3, 5, 6, 5, 3, 4, 6, 4, 3, 5, 4, 4, 4, 4, 6, 2, 4, 2, 5, 3, 5, 2, 5, 4, 2, 5, 4, 2, 1, 1, 3, 3, 1, 1, 2, 6, 5, 3, 4, 1, 3, 3, 2, 2, 2, 3, 4, 4, 5, 6, 4, 4, 6, 6, 1, 6, 6, 6, 6, 2, 3, 6, 6, 1, 2, 5, 4, 2, 4, 1, 4, 2, 2, 5, 4, 4, 5, 5, 2, 6, 2, 2, 4, 6, 2, 2, 6, 5, 4, 6, 6, 6, 4, 2, 6, 5, 6, 2, 6, 3, 6, 1, 1, 4, 1, 2, 5, 4, 3, 2, 4, 6, 6, 3, 4, 4, 3, 5, 3, 5, 2, 4, 3, 1, 4, 2, 1, 4, 3, 5, 1, 5, 3, 1, 3, 2, 4, 2, 1, 6, 5, 5, 1, 2, 4, 4, 4, 6, 2, 4, 6, 6, 1, 1, 2, 3, 1, 3, 4, 1, 3, 6, 5, 2, 3, 4, 6, 1, 5, 3, 5, 4, 6, 2, 6, 4, 3, 3, 3, 4, 5, 3, 2, 1, 2, 5, 6, 6, 1, 3, 3, 1, 2, 4, 3, 5, 1, 6, 2, 3, 2, 5, 3, 6, 4, 6, 2, 2, 4, 4, 6, 1, 4, 2, 6, 2, 6, 3, 3, 1, 3, 5, 3, 1, 4, 3, 3, 4, 2, 5, 3, 4, 3, 3, 1, 5, 1, 1, 3, 4, 5, 4, 2, 5, 2, 4, 4, 3, 2, 3, 6, 4, 4, 4, 1, 3, 6, 4, 6, 5, 1, 3, 2, 1, 5, 1, 5, 3, 2, 3, 1, 6, 6, 5, 4, 1, 2, 6, 1, 4, 1, 6, 4, 5, 3, 3, 4, 1, 4, 3, 2, 5, 6, 1, 2, 3, 2, 5, 5, 6, 5, 5, 2, 5, 2, 5, 3, 6, 2, 2, 4, 5, 6, 4, 1, 5, 4, 6, 2, 1, 2, 4, 1, 5, 3, 2, 1, 1, 2, 4, 4, 4, 1, 1, 2, 4, 5, 1, 6, 4, 2, 1, 1, 2, 1, 2, 4, 2, 2, 5, 4, 6, 2, 3, 1, 1, 5, 4, 4, 4, 6, 6, 1, 3, 3, 3, 5, 1, 1, 4, 1, 3, 2, 1, 4, 3, 2, 3, 5, 5, 6, 2, 3, 3, 2, 3, 6, 2, 1, 4, 2, 2, 5, 1, 4, 4, 2, 4, 1, 2, 5, 4, 4, 2, 3, 5, 4, 2, 2, 3, 5, 4, 4, 5, 5, 6, 1, 3, 4, 3, 5, 6, 4, 5, 5, 3, 3, 5, 3, 1, 6, 4, 2, 2, 2, 5, 2, 1, 5, 5, 1, 1, 3, 1, 1, 5, 1, 4, 1, 3, 5, 5, 3, 3, 5, 5, 6, 3, 3, 2, 1, 6, 3, 5, 3, 1, 3, 3, 5, 4, 2, 3, 6, 5, 6, 4, 3, 1, 3, 3, 4, 3, 1, 4, 1, 3, 3, 2, 4, 1, 1, 6, 3, 5, 2, 3, 5, 6, 6, 1, 1, 5, 3, 1, 1, 2, 5, 5, 5, 5, 1, 3, 3, 5, 2, 2, 2, 4, 3, 5, 1, 1, 1, 4, 1, 6, 1, 4, 5, 5, 3, 6, 4, 3, 1, 2, 5, 2, 4, 5, 3, 3, 5, 1, 4, 3, 1, 3, 3, 1, 5, 1, 1, 1, 4, 2, 6, 2, 6, 2, 6, 5, 1, 3, 2, 5, 6, 2, 6, 5, 1, 4, 6, 2, 1, 3, 1, 3, 5, 2, 6, 6, 2, 6, 5, 6, 2, 6, 5, 1, 6, 1, 2, 6, 1, 6, 5, 4, 2, 3, 2, 5, 1, 1, 2, 2, 4, 3, 2, 5, 3, 1, 5, 4, 1, 2, 3, 5, 6, 1, 1, 4, 6, 5, 6, 6, 2, 3, 3, 3, 6, 3, 2, 2, 3, 2, 3, 4, 5, 3, 3, 2, 4, 6, 5, 3, 4, 5, 3, 2, 1, 4, 2, 1, 6, 4, 3, 6, 3, 2, 5, 4, 2, 1, 5, 5, 4, 3, 5, 4, 2, 6, 1, 5, 6, 5, 2, 6, 6, 1, 2, 2, 2, 2, 2, 6, 3, 1, 3, 3, 5, 6, 5, 6, 2, 6, 1, 2, 4, 1, 2, 4, 5, 1, 3, 6, 3, 6, 4, 6, 2, 3, 6, 6, 5, 1, 4, 6, 1, 6, 4, 6, 3, 4, 3, 3, 5, 2, 2, 5, 2, 6, 2, 1, 2, 6, 1, 1, 6, 6, 1, 4, 5, 6, 4, 6, 6, 3, 2, 4, 4, 6, 2, 2, 1, 5, 5, 6, 4, 3, 3, 2, 6, 2, 2, 1, 3, 3, 2, 3, 3, 1, 3, 6, 1, 6, 5, 4, 4, 4, 3, 3, 1, 6, 3, 6, 6, 3, 5, 5, 3, 1, 4, 3, 4, 6, 3, 6, 4, 4, 6, 5, 2, 1, 2, 4, 6, 2, 5, 4, 4, 4, 5, 3, 2, 4, 2, 2, 2, 1, 4, 6, 2, 2, 5, 5, 6, 2, 1, 3, 4, 4, 2, 4, 4, 1, 4, 2, 4, 4, 3, 3, 1, 4, 6, 2, 1, 5, 6, 1, 4, 5, 6, 6, 4, 5, 4, 4, 6, 5, 4, 2, 3, 1, 4, 1, 3, 4, 1, 6, 2, 1, 3, 6, 3, 2, 6, 4, 1, 3, 4, 2, 1, 3, 3, 2, 5, 4, 2, 3, 6, 6, 5, 4, 2, 5, 5, 4, 4, 3, 3, 6, 6, 5, 5, 1, 2, 6, 1, 5, 3, 3, 5, 6, 2, 5, 6, 4, 4, 2, 4, 4, 4, 3, 6, 6, 1, 1, 3, 2, 6, 3, 2, 2, 1, 1, 6, 1, 2, 3, 4, 2, 5, 6, 6, 1, 3, 1, 5, 5, 3, 1, 1, 5, 1, 2, 4, 1, 5, 4, 1, 3, 6, 4, 3, 3, 1, 2, 4, 2, 2, 1, 2, 4, 5, 3, 4, 5, 1, 6, 5, 5, 3, 6, 3, 6, 2, 2, 2, 6, 6, 6, 5, 2, 5, 2, 5, 5, 1, 2, 3, 2, 1, 3, 2, 3, 4, 1, 6, 3, 2, 2, 2, 2, 5, 3, 2, 3, 1, 4, 4, 5, 5, 2, 2, 1, 1, 6, 2, 5, 4, 6, 5, 4, 5, 1, 5, 2, 3, 3, 2, 3, 2, 5, 1, 2, 6, 1, 2, 4, 2, 2, 3, 1, 5, 4, 6, 5, 3, 1, 4, 3, 3, 6, 3, 4, 1, 5, 3, 1, 1, 6, 2, 3, 4, 2, 6, 4, 6, 1, 5, 6, 1, 5, 4, 2, 1, 6, 3, 1, 6, 6, 2, 4, 2, 5, 1, 4, 2, 4, 4, 6, 6, 4, 5, 1, 4, 6, 2, 4, 5, 4, 4, 1, 2, 2, 6, 4, 2, 3, 1, 5, 6, 4, 1, 2, 2, 5, 4, 2, 5, 1, 1, 5, 2, 1, 4, 4, 4, 2, 1, 5, 4, 3, 5, 3, 2, 3, 5, 2, 5, 1, 2, 2, 6, 6, 5, 5, 5, 4, 3, 6, 6, 5, 1, 1, 6, 5, 3, 4, 5, 4, 1, 6, 5, 1, 5, 6, 3, 1, 5, 2, 1, 3, 4, 4, 4, 6, 5, 4, 3, 3, 3, 5, 1, 4, 5, 3, 3, 4, 2, 2, 3, 3, 5, 2, 5, 5, 2, 1, 6, 5, 4, 2, 6, 1, 6, 3, 3, 4, 6, 2, 3, 4, 4, 1, 5, 6, 5, 6, 6, 1, 2, 6, 6, 4, 4, 4, 2, 5, 1, 2, 5, 4, 2, 4, 5, 6, 6, 1, 2, 1, 1, 4, 6, 5, 4, 2, 1, 6, 5, 2, 2, 6, 6, 5, 6, 6, 6, 3, 4, 1, 2, 6, 4, 1, 2, 4, 4, 4, 3, 4, 2, 2, 6, 2, 6, 2, 1, 4, 4, 5, 1, 3, 2, 2, 4, 6, 6, 5, 3, 5, 4, 3, 3, 6, 1, 4, 2, 6, 2, 1, 4, 5, 5, 1, 4, 1, 4, 4, 4, 1, 3, 4, 1, 2, 4, 6, 5, 1, 3, 5, 1, 1, 2, 5, 6, 3, 3, 1, 2, 3, 6, 5, 1, 4, 1, 4, 2, 1, 3, 6, 2, 3, 2, 1, 5, 1, 5, 4, 1, 3, 1, 4, 3, 5, 5, 1, 6, 6, 6, 4, 1, 2, 5, 2, 2, 6, 1, 1, 1, 6, 1, 1, 1, 2, 4, 1, 2, 5, 5, 2, 6, 1, 5, 4, 2, 3, 2, 2, 4, 1, 3, 2, 1, 2, 6, 3, 3, 1, 5, 2, 1, 4, 4, 4, 3, 3, 6, 5, 6, 1, 4, 5, 2, 5, 2, 6, 1, 5, 3, 6, 1, 2, 5, 3, 3, 2, 4, 1, 5, 2, 5, 5, 5, 5, 4, 4, 2, 4, 2, 4, 4, 6, 1, 5, 4, 1, 2, 2, 5, 1, 3, 4, 3, 3, 4, 1, 5, 4, 4, 6, 6, 2, 4, 6, 2,

[damned]

3, 5, 2, 5, 4, 6, 1, 3, 6, 4, 6, 4, 2, 2, 5, 4, 5, 2, 1, 6, 3, 4, 4, 3, 2, 6, 4, 6, 6, 4, 3, 1, 2, 5, 4, 3, 5, 3, 5, 1, 1, 4, 1, 2, 3, 2, 6, 2, 2, 2, 3, 2, 6, 6, 3, 6, 2, 3, 2, 1, 6, 6, 4, 2, 6, 5, 2, 3, 4, 4, 6, 2, 3, 3, 5, 4, 6, 4, 3, 3, 1, 1, 3, 4, 3, 2, 2, 5, 3, 6, 1, 3, 4, 1, 2, 6, 4, 5, 2, 2, 5, 3, 5, 2, 1, 6, 3, 2, 1, 4, 6, 2, 2, 6, 1, 4, 3, 6, 1, 3, 1, 2, 1, 5, 6, 6, 5, 4, 4, 6, 1, 4, 2, 5, 6, 6, 5, 3, 1, 4, 4, 1, 3, 4, 2, 1, 1, 3, 4, 6, 4, 6, 4, 5, 1, 4, 3, 1, 6, 3, 6, 6, 1, 1, 4, 2, 6, 4, 2, 4, 3, 6, 6, 2, 4, 1, 3, 5, 6, 5, 3, 4, 4, 5, 4, 2, 6, 1, 5, 3, 3, 5, 3, 3, 1, 3, 1, 4, 2, 2, 3, 4, 4, 2, 2, 3, 2, 1, 3, 3, 1, 6, 2, 4, 2, 2, 2, 3, 5, 1, 5, 2, 5, 5, 6, 2, 3, 3, 4, 1, 5, 4, 3, 4, 6, 5, 3, 6, 3, 3, 4, 1, 6, 4, 4, 5, 6, 5, 6, 3, 4, 3, 2, 4, 2, 1, 2, 5, 6, 6, 3, 4, 1, 1, 3, 2, 1, 3, 4, 2, 2, 5, 3, 2, 1, 6, 1, 2, 5, 2, 5, 6, 4, 1, 5, 2, 2, 4, 3, 1, 4, 5, 6, 5, 6, 4, 6, 5, 1, 3, 1, 6, 4, 3, 6, 3, 6, 6, 4, 5, 6, 6, 5, 4, 2, 1, 4, 2, 4, 2, 1, 2, 4, 1, 5, 6, 4, 2, 6, 6, 5, 4, 3, 2, 4, 1, 1, 4, 1, 3, 3, 2, 2, 1, 6, 5, 6, 3, 1, 2, 1, 2, 4, 4, 2, 4, 5, 3, 5, 1, 6, 5, 4, 2, 3, 4, 1, 3, 6, 3, 3, 5, 3, 4, 5, 2, 2, 4, 5, 2, 2, 4, 2, 1, 6, 6, 4, 1, 1, 1, 3, 1, 5, 6, 1, 1, 6, 5, 3, 2, 1, 5, 4, 2, 2, 1, 2, 2, 2, 1, 2, 2, 4, 3, 5, 4, 2, 5, 4, 4, 2, 1, 5, 3, 2, 6, 2, 2, 2, 6, 1, 6, 5, 6, 4, 6, 3, 1, 3, 6, 2, 5, 5, 6, 6, 5, 6, 2, 5, 3, 4, 6, 6, 5, 1, 1, 5, 3, 4, 1, 4, 3, 5, 3, 4, 5, 2, 3, 5, 5, 2, 6, 1, 1, 6, 2, 6, 1, 2, 4, 2, 5, 5, 5, 5, 6, 4, 4, 5, 5, 2, 2, 5, 5, 3, 5, 2, 5, 5, 2, 2, 1, 4, 2, 6, 3, 2, 2, 3, 4, 3, 5, 2, 1, 5, 6, 1, 2, 3, 4, 2, 4, 4, 6, 3, 2, 1, 3, 4, 3, 6, 1, 2, 2, 2, 4, 1, 1, 3, 4, 4, 3, 3, 3, 4, 4, 6, 3, 2, 1, 2, 4, 5, 2, 2, 1, 2, 1, 1, 4, 6, 4, 1, 1, 5, 6, 1, 2, 2, 6, 4, 6, 3, 3, 3, 1, 4, 6, 4, 4, 5, 3, 1, 3, 2, 1, 1, 1, 2, 3, 2, 6, 1, 2, 3, 6, 3, 3, 3, 5, 2, 6, 3, 5, 1, 2, 6, 3, 5, 3, 1, 3, 5, 5, 1, 4, 6, 6, 6, 2, 2, 5, 4, 1, 3, 5, 5, 5, 2, 6, 6, 4, 2, 4, 2, 4, 5, 1, 6, 6, 3, 4, 6, 3, 2, 4, 2, 1, 2, 3, 3, 4, 2, 6, 4, 5, 3, 5, 6, 2, 2, 5, 6, 3, 3, 5, 5, 6, 3, 4, 4, 1, 5, 2, 4, 4, 6, 3, 3, 6, 5, 4, 3, 3, 4, 6, 1, 1, 2, 5, 5, 5, 3, 3, 3, 1, 4, 6, 2, 1, 5, 2, 1, 6, 6, 4, 1, 2, 2, 3, 6, 2, 2, 3, 6, 2, 1, 4, 3, 4, 6, 3, 3, 3, 3, 6, 4, 1, 6, 2, 4, 4, 3, 1, 3, 4, 6, 1, 5, 2, 3, 3, 6, 1, 3, 4, 4, 2, 6, 4, 1, 2, 3, 6, 2, 5, 2, 6, 2, 3, 5, 2, 3, 4, 4, 1, 5, 3, 5, 5, 2, 1, 5, 2, 4, 1, 1, 5, 6, 1, 5, 5, 4, 1, 5, 1, 6, 2, 2, 1, 5, 4, 4, 4, 4, 3, 3, 4, 5, 2, 5, 1, 2, 2, 4, 5, 3, 1, 1, 1, 2, 2, 3, 5, 2, 6, 4, 3, 4, 4, 3, 4, 4, 5, 2, 5, 3, 3, 6, 1, 6, 5, 4, 1, 5, 1, 3, 6, 3, 4, 3, 2, 1, 3, 2, 2, 4, 5, 5, 1, 6, 3, 3, 3, 2, 4, 3, 1, 2, 4, 4, 5, 3, 2, 5, 2, 4, 3, 4, 5, 4, 6, 6, 5, 4, 4, 5, 3, 4, 5, 2, 2, 2, 5, 4, 3, 5, 4, 6, 1, 4, 2, 4, 5, 5, 3, 3, 5, 4, 1, 4, 1, 6, 2, 2, 4, 1, 5, 6, 5, 5, 6, 1, 6, 3, 5, 3, 4, 2, 1, 3, 2, 4, 1, 4, 5, 5, 3, 3, 2, 1, 6, 3, 6, 3, 3, 3, 2, 4, 4, 6, 5, 4, 4, 4, 1, 1, 2, 1, 6, 4, 1, 5, 2, 1, 1, 3, 3, 3, 4, 4, 5, 1, 6, 1, 5, 1, 2, 6, 1, 4, 6, 6, 3, 4, 3, 5, 1, 2, 1, 6, 6, 1, 2, 6, 4, 2, 1, 1, 6, 6, 6, 1, 1, 2, 3, 4, 3, 1, 6, 6, 3, 3, 6, 5, 1, 6, 1, 2, 3, 3, 5, 6, 2, 1, 3, 1, 3, 2, 4, 5, 6, 2, 4, 2, 3, 2, 4, 2, 1, 5, 5, 6, 5, 6, 6, 3, 1, 2, 4, 2, 1, 3, 2, 6, 5, 4, 5, 4, 2, 6, 1, 5, 2, 5, 6, 1, 1, 1, 2, 6, 6, 2, 1, 6, 4, 3, 1, 4, 6, 2, 2, 3, 5, 4, 1, 6, 5, 2, 3, 1, 1, 1, 1, 2, 3, 1, 5, 5, 1, 1, 2, 1, 5, 5, 4, 3, 4, 3, 4, 3, 1, 6, 3, 3, 2, 1, 2, 1, 1, 5, 4, 4, 3, 1, 4, 1, 3, 1, 5, 6, 4, 2, 1, 5, 6, 1, 5, 2, 3, 6, 3, 4, 3, 3, 6, 4, 6, 4, 3, 2, 6, 2, 6, 6, 5, 5, 1, 2, 1, 5, 2, 2, 6, 4, 4, 4, 5, 6, 6, 6, 6, 2, 3, 1, 2, 1, 1, 3, 6, 6, 5, 1, 4, 4, 2, 3, 3, 1, 1, 2, 5, 3, 2, 1, 1, 1, 6, 1, 2, 3, 1, 4, 3, 1, 4, 3, 1, 1, 5, 6, 2, 3, 5, 2, 4, 3, 6, 1, 5, 2, 4, 6, 4, 3, 3, 1, 3, 2, 5, 3, 3, 1, 4, 3, 4, 6, 2, 3, 2, 1, 3, 3, 1, 5, 3, 4, 5, 3, 3, 6, 2, 1, 1, 5, 5, 5, 4, 6, 5, 5, 2, 3, 2, 5, 1, 3, 4, 5, 3, 1, 4, 2, 4, 6, 2, 6, 3, 3, 1, 2, 6, 1, 6, 2, 4, 3, 5, 5, 1, 1, 4, 2, 3, 5, 1, 4, 2, 3, 5, 2, 4, 2, 5, 3, 2, 6, 1, 4, 3, 6, 4, 1, 2, 4, 6, 4, 1, 2, 4, 1, 3, 4, 5, 3, 6, 3, 4, 6, 4, 4, 5, 3, 2, 2, 6, 6, 3, 3, 2, 5, 5, 5, 5, 2, 2, 6, 1, 6, 4, 1, 6, 3, 2, 3, 1, 1, 1, 3, 6, 2, 3, 4, 6, 1, 3, 1, 4, 3, 5, 2, 5, 1, 1, 1, 2, 1, 4, 1, 3, 1, 6, 2, 5, 5, 2, 3, 1, 5, 4, 5, 5, 4, 4, 1, 1, 2, 4, 1, 6, 4, 3, 4, 6, 5, 4, 3, 5, 1, 3, 3, 5, 6, 6, 1, 5, 4, 3, 6, 6, 5, 5, 6, 4, 6, 5, 4, 2, 5, 1, 1, 4, 2, 6, 5, 6, 6, 4, 4, 1, 1, 2, 5, 5, 1, 5, 6, 6, 4, 2, 3, 1, 3, 1, 1, 2, 4, 2, 5, 1, 1, 3, 5, 5, 4, 5, 5, 4, 1, 2, 1, 4, 4, 1, 1, 1, 6, 3, 3, 2, 1, 2, 5, 4, 1, 1, 3, 6, 3, 2, 3, 5, 4, 2, 4, 1, 3, 5, 1, 4, 4, 2, 3, 4, 6, 6, 4, 3, 3, 5, 2, 6, 2, 3, 4, 2, 6, 5, 5, 4, 3, 1, 5, 3, 2, 2, 5, 3, 5, 2, 5, 1, 4, 6, 3, 3, 3, 6, 3, 2, 4, 2, 1, 4, 6, 2, 2, 1, 2, 5, 5, 4, 1, 3, 6, 3, 2, 3, 2, 4, 1, 4, 6, 6, 5, 6, 4, 3, 1, 1, 5, 5, 6, 6, 2, 1, 3, 2, 4, 4, 4, 1, 4, 4, 2, 4, 4, 4, 6, 2, 4, 4, 2, 2, 4, 2, 6, 3, 4, 6, 4, 4, 6, 6, 4, 1, 3, 6, 5, 3, 5, 1, 4, 2, 4, 3, 5, 4, 1, 2, 5, 5, 1, 2, 2, 1, 6, 3, 1, 2, 6, 3, 2, 4, 2, 1, 3, 5, 5, 1, 5, 1, 2, 4, 2, 3, 2, 2, 1, 2, 3, 5, 5, 5, 6, 3, 2, 4, 6, 6, 1, 5, 3, 1, 2, 5, 1, 2, 4, 1, 3, 3, 6, 1, 6, 1, 4, 6, 6, 4, 5, 4, 4, 3, 6, 4, 4, 3, 6, 2, 2, 4, 5, 3, 6, 5, 4, 2, 2, 1, 1, 4, 6, 1, 1, 4, 6, 4, 4, 3, 2, 6, 2, 1, 6, 5, 3, 3, 4, 5, 1, 5, 3, 4, 4, 6, 1, 1, 1, 4, 4, 6, 4, 3, 4, 6, 1, 4, 5, 3, 2, 6, 4, 6, 5, 5, 3, 4, 6, 6, 4, 2, 6, 3, 1, 3, 4, 3, 5, 6, 4, 6, 4, 5, 4, 2, 5, 1, 1, 4, 3, 1, 2, 5, 1, 6, 6, 4, 2, 5, 5, 3, 3, 2, 1, 6, 6, 2, 4, 1, 2, 2, 3, 1, 3, 6, 1, 3, 6, 5, 1, 1, 5, 5, 4, 3, 4, 6, 1, 2, 4, 4, 2, 1, 6, 4, 4, 1, 1, 2, 6, 4, 4, 2, 5, 4, 2, 3, 3, 2, 1, 6, 4, 4, 1, 5, 3, 5, 1, 6, 4, 6, 6, 4, 1, 4, 2, 1, 4, 1, 2, 3, 6, 5, 6, 6, 1, 6, 6, 6, 5, 2, 6, 6, 2, 2, 2, 3, 1, 6, 6, 5, 3, 4, 1, 2, 6, 6, 2, 2, 4, 4, 1, 1, 4, 3, 4, 1, 3, 4, 5, 2, 5, 3, 2, 2, 2, 3, 4, 2, 2, 3, 1, 3, 3, 4, 1, 5, 2, 3, 3, 3, 2, 6, 6, 3, 6, 6, 3, 1, 1, 1, 1, 3, 2, 6, 6, 6, 6, 4, 1, 2, 3, 6, 3, 4, 6, 3, 5, 4, 4, 1, 6, 1, 1, 1, 6, 4, 2, 4, 2, 3, 4, 2, 3, 5, 6, 5, 3, 2, 4, 1, 3, 4, 4, 3, 3, 5, 5, 6, 4, 4, 4, 3, 1, 5, 6, 4, 3, 6, 2, 1, 3, 6, 5, 1, 3, 1, 6, 3, 5, 3, 3, 1, 5, 3, 1, 4, 4, 1, 4, 1, 2, 2, 4, 4, 4, 1, 6, 4, 1, 1, 6, 2, 5, 6, 6, 3, 4, 3, 4, 2, 4, 1, 5, 4, 3, 5, 5, 5, 1, 4, 5, 6, 1, 2, 1, 5, 4, 4, 3, 6, 1, 3, 3, 1, 1, 4, 1, 6, 1, 5, 3, 4, 5, 6, 4, 6, 6, 2, 2, 2, 3, 3, 5, 4, 1, 5, 1, 6, 3, 4, 6, 2, 6, 2, 2, 1, 4, 4, 3, 1, 3, 2, 4, 4, 1, 2, 3, 6, 2, 3, 4, 1, 2, 2, 6, 2, 3, 5, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 6, 4, 2, 1, 5, 3, 5, 6, 1, 2, 4, 1, 2, 2, 1, 2, 1, 4, 6, 2, 4, 5, 2, 6, 6, 2, 1, 3, 4, 1, 5, 4, 2, 5, 3, 6, 4, 2, 6, 1, 6, 4, 6, 6, 2, 5, 2, 3, 2, 4, 5, 3, 4, 1, 5, 5, 5, 4, 3, 2, 3, 6, 5, 1, 3, 5, 4, 4, 4, 2, 6, 6, 3, 6, 1, 4, 6, 4, 4, 1, 5, 4, 3, 4, 4, 3, 2, 4, 2, 6, 1, 4, 5, 1, 2, 1, 4, 4, 6, 4, 3, 1, 4, 1, 1, 2, 6, 1, 3, 5, 6, 2, 2, 4, 4, 1, 6, 6, 6, 2, 6, 2, 4, 3, 1, 6, 2, 5, 1, 4, 6, 1, 1, 1, 3, 2, 1, 1, 6, 6, 3, 4, 2, 4, 5, 5, 2, 3, 5, 3, 4, 6, 4, 2, 3, 5, 6, 1, 5, 3, 6, 3, 5, 3, 2, 2, 3, 2, 5, 4, 2, 1, 2, 2, 4, 5, 1, 1, 2, 6, 2, 5, 1, 1, 2, 3, 3, 5, 5, 5, 1, 5, 3, 5, 3, 6, 4, 2, 2, 5, 1, 5, 2, 4, 2, 1, 4, 5, 4, 5, 4, 3, 5, 4, 4, 4, 6, 1, 1, 5, 4, 2, 5, 1, 6, 5, 3, 5, 1, 3, 4, 5, 5, 6, 4, 5, 1, 5, 3, 3, 2, 2, 2, 1, 2, 4, 5, 6, 2, 3, 6, 6, 5, 1, 6, 1, 2, 4, 2, 1, 2, 2, 4, 6, 2, 2, 6, 4, 5, 2, 2, 2, 2, 6, 2, 3, 2, 5, 2, 1, 4, 6, 5, 2, 1, 5, 6, 5, 6, 5, 5, 3, 1, 5, 2, 4, 2, 3, 1, 3, 4, 1, 3, 6, 5, 5, 3, 6, 6, 6, 5, 6, 1, 6, 3, 3, 2, 4, 3, 4, 3, 4, 4, 6, 6, 4, 3, 6, 1, 3, 4, 6, 1, 6, 5, 5, 6, 5, 1, 6, 1, 2, 4, 3, 4, 3, 1, 3, 5, 1, 2, 2, 1, 6, 1, 1, 5, 6, 4, 4, 2, 4, 5, 3, 3, 5, 4, 4, 1, 3, 1, 1, 1, 4, 1, 5, 2, 1, 5, 6, 4, 4, 4, 5, 3, 4, 3, 5, 4, 3, 2, 1, 3, 2, 3, 4, 4, 2, 3, 2, 1, 2, 1, 4, 5, 6, 5, 6, 2, 1, 3, 3, 1, 3, 5, 3, 6, 1, 6, 5, 1, 5, 5, 1, 4, 3, 6, 5, 3, 1, 5, 6, 3, 4, 5, 4, 4, 3, 2, 2, 6, 4, 1, 3, 2, 1, 1, 2, 2, 2, 3, 3, 3, 1, 6, 3, 3, 4, 2, 3, 2, 1, 1, 2, 5, 6, 4, 2, 4, 5, 6, 6, 6, 1, 4, 4, 3, 1, 1, 2, 4, 1, 5, 1, 4, 3, 1, 2, 5, 1, 3, 5, 6, 2, 1, 4, 2, 6, 2, 4, 3, 4, 3, 2, 2, 4, 3, 2, 3, 4, 6, 5, 4, 5, 5, 3, 1, 2, 6, 3, 5, 5, 1, 6, 4, 5, 4, 6, 1, 3, 6, 4, 1, 6, 1, 4, 4, 5, 2, 5, 6, 1, 3, 3, 6, 4, 1, 6, 5, 3, 3, 3, 2, 6, 3, 5, 2, 1, 3, 6, 3, 6, 3, 6, 1, 6, 2, 6, 6, 6, 3, 3, 2, 5, 6, 4, 2, 1, 4, 3, 2, 6, 4, 3, 1, 1, 6, 3, 1, 1, 6, 1, 1, 2, 1, 4, 6, 4, 6, 1, 4, 1, 5, 2, 2, 4, 4, 6, 5, 2, 6, 4, 2, 2, 2, 2, 6, 6, 4, 2, 4, 5, 3, 5, 1, 1, 3, 5, 4, 4, 2, 3, 6, 6, 6, 4, 2, 3, 4, 5, 3, 6, 4, 4, 2, 2, 1, 1, 3, 3, 6, 5, 3, 3, 4, 3, 6, 5, 3, 5, 1, 4, 3, 3, 1, 5, 4, 5, 6, 6, 1, 3, 5, 4, 6, 4, 4, 4, 4, 3, 5, 6, 2, 6, 3, 4, 2, 3, 4, 6, 1, 4, 6, 6, 4, 2, 5, 1, 6, 4, 3, 4, 2, 4, 6, 4, 4, 1, 1, 3, 5, 6, 5, 5, 4, 3, 5, 5, 1, 2, 3, 3, 4, 5, 6, 6, 2, 5, 3, 6, 2, 5, 1, 6, 6, 2, 3, 3, 4, 2, 5, 1, 1, 5, 4, 4, 2, 1, 5, 5, 4, 4, 6, 1, 5, 5, 2, 3, 4, 5, 5, 2, 1, 4, 6, 4, 6, 1, 2, 3, 4, 2, 1, 3, 4, 6, 1, 1, 1, 3, 2, 2, 4, 1, 2, 4, 2, 6, 1, 1, 2, 2, 3, 4, 2, 2, 5, 1, 2, 6, 1, 2, 4, 2, 1, 4, 1, 6, 3, 3, 5, 1, 1, 6, 1, 2, 2, 4, 1, 1, 4, 6, 2, 4, 2, 6, 6, 3, 4, 3, 4, 3, 1, 4, 3, 4, 4, 6, 3, 4, 5, 6, 4, 5, 5, 2, 6, 2, 4, 2, 2, 6, 2, 1, 2, 1, 1, 2, 1, 3, 5, 1, 1, 1, 3, 3, 5, 4, 3, 5, 1, 4, 1, 4, 2, 5, 4, 2, 4, 1, 4, 4, 4, 2, 2, 5, 1, 1, 6, 6, 4, 2, 6, 4, 6, 4, 4, 3, 6, 2, 4, 1, 6, 3, 6, 3, 5, 6, 5, 1, 1, 1, 5, 6, 2, 5, 3, 2, 2, 4, 1, 3, 2, 2, 5, 4, 2, 2, 6, 3, 2, 4, 6, 1, 6, 5, 1, 2, 2, 4, 6, 2, 1, 5, 5, 2, 5, 5, 2, 4, 4, 5, 4, 1, 5, 6, 3, 5, 6, 2, 1, 4, 6, 1, 3, 2, 4, 3, 1, 6, 1, 4, 5, 4, 6, 1, 1, 1, 6, 5, 3, 4, 2, 4, 4, 4,

[damned]

3, 1, 1, 4, 1, 3, 3, 4, 3, 2, 4, 5, 3, 5, 5, 3, 4, 4, 4, 6, 5, 6, 2, 1, 6, 2, 3, 2, 4, 2, 2, 5, 4, 1, 2, 6, 2, 5, 6, 2, 6, 1, 5, 5, 2, 4, 2, 2, 2, 4, 5, 1, 1, 5, 2, 1, 1, 6, 2, 4, 5, 2, 6, 5, 2, 4, 6, 6, 1, 5, 4, 3, 3, 6, 6, 2, 5, 6, 3, 1, 3, 5, 6, 4, 2, 6, 2, 2, 2, 2, 4, 5, 1, 2, 5, 3, 1, 3, 4, 3, 3, 2, 6, 2, 5, 6, 3, 4, 2, 6, 6, 4, 3, 2, 2, 4, 5, 4, 3, 6, 3, 2, 5, 1, 1, 3, 6, 5, 2, 2, 6, 5, 6, 5, 1, 4, 2, 5, 3, 4, 5, 5, 5, 3, 3, 6, 4, 5, 6, 3, 6, 1, 6, 3, 2, 3, 1, 1, 4, 2, 2, 6, 2, 4, 6, 1, 3, 1, 2, 4, 2, 6, 2, 1, 6, 1, 4, 2, 3, 5, 5, 5, 6, 3, 3, 6, 4, 6, 3, 4, 1, 6, 1, 3, 4, 3, 5, 3, 4, 6, 6, 2, 6, 1, 5, 1, 6, 5, 1, 4, 1, 5, 5, 1, 2, 1, 1, 3, 1, 4, 4, 6, 5, 3, 2, 4, 5, 4, 5, 5, 4, 1, 2, 3, 3, 2, 3, 5, 6, 4, 1, 5, 1, 1, 4, 1, 1, 4, 2, 1, 3, 5, 4, 4, 3, 5, 4, 1, 5, 6, 2, 4, 6, 2, 2, 6, 1, 2, 6, 5, 6, 6, 5, 3, 2, 2, 1, 4, 4, 4, 5, 4, 3, 2, 6, 2, 5, 2, 4, 3, 2, 5, 3, 1, 3, 4, 1, 6, 6, 6, 1, 3, 6, 1, 2, 3, 5, 3, 3, 1, 2, 3, 5, 3, 6, 1, 2, 6, 3, 4, 6, 3, 5, 4, 4, 2, 5, 2, 4, 1, 2, 2, 2, 5, 6, 1, 6, 4, 5, 5, 4, 6, 6, 2, 6, 1, 3, 1, 1, 2, 2, 4, 2, 2, 4, 3, 5, 2, 1, 6, 3, 2, 6, 3, 1, 2, 1, 3, 3, 3, 2, 6, 4, 6, 6, 5, 1, 1, 2, 6, 5, 6, 6, 4, 6, 2, 4, 4, 6, 3, 2, 6, 4, 5, 6, 3, 4, 4, 5, 5, 2, 5, 3, 4, 3, 2, 6, 5, 1, 6, 3, 1, 2, 1, 4, 5, 1, 5, 6, 2, 5, 4, 6, 4, 6, 6, 3, 3, 6, 2, 1, 6, 2, 2, 2, 1, 3, 3, 4, 2, 4, 5, 1, 3, 3, 2, 5, 1, 1, 2, 2, 6, 6, 1, 6, 1, 4, 1, 4, 6, 4, 4, 5, 3, 1, 3, 3, 2, 1, 1, 2, 6, 3, 2, 4, 2, 2, 2, 5, 2, 6, 1, 4, 3, 4, 2, 6, 6, 1, 3, 6, 2, 5, 4, 1, 1, 5, 6, 5, 5, 1, 6, 1, 3, 2, 5, 3, 4, 4, 1, 3, 1, 1, 1, 3, 6, 1, 3, 4, 6, 4, 6, 3, 1, 3, 3, 3, 4, 3, 1, 3, 2, 2, 3, 1, 1, 1, 1, 5, 6, 3, 1, 4, 1, 1, 6, 2, 4, 1, 5, 6, 4, 1, 1, 6, 2, 2, 3, 4, 5, 4, 5, 6, 5, 3, 2, 1, 2, 1, 3, 5, 5, 5, 4, 4, 1, 2, 1, 1, 3, 4, 5, 6, 6, 5, 3, 6, 6, 6, 5, 1, 1, 1, 6, 1, 5, 4, 4, 4, 3, 4, 5, 6, 3, 5, 6, 4, 2, 3, 5, 6, 2, 5, 3, 4, 4, 5, 2, 3, 5, 1, 3, 3, 4, 2, 3, 2, 1, 2, 6, 4, 6, 2, 5, 6, 6, 6, 4, 6, 5, 6, 3, 6, 3, 4, 6, 1, 1, 2, 4, 5, 3, 4, 6, 2, 2, 6, 2, 6, 3, 2, 3, 3, 6, 2, 2, 2, 3, 1, 1, 2, 3, 5, 6, 5, 4, 5, 4, 6, 2, 2, 4, 4, 1, 3, 3, 1, 5, 3, 2, 6, 2, 2, 3, 4, 6, 1, 6, 6, 2, 2, 1, 3, 1, 1, 3, 6, 3, 5, 2, 2, 2, 4, 3, 4, 4, 1, 2, 6, 5, 1, 2, 6, 4, 3, 1, 5, 1, 5, 4, 1, 5, 1, 1, 3, 4, 3, 5, 3, 4, 6, 6, 3, 3, 4, 4, 4, 6, 5, 2, 3, 1, 4, 1, 1, 4, 1, 1, 2, 2, 2, 4, 1, 3, 3, 2, 5, 3, 5, 2, 1, 1, 4, 1, 6, 4, 2, 2, 6, 1, 6, 6, 4, 6, 4, 3, 1, 5, 3, 6, 4, 2, 4, 6, 1, 3, 4, 2, 3, 6, 2, 2, 5, 5, 2, 2, 5, 5, 4, 3, 2, 5, 5, 4, 1, 4, 1, 3, 3, 2, 3, 3, 5, 6, 4, 1, 5, 6, 5, 3, 3, 3, 4, 2, 3, 2, 4, 4, 4, 6, 1, 1, 6, 5, 1, 5, 1, 6, 5, 2, 2, 3, 6, 4, 4, 3, 2, 4, 3, 4, 1, 4, 3, 3, 6, 4, 4, 3, 4, 5, 5, 5, 2, 4, 6, 3, 4, 3, 4, 6, 1, 3, 3, 4, 1, 3, 3, 4, 5, 4, 3, 2, 2, 4, 4, 1, 1, 1, 4, 4, 5, 3, 3, 6, 5, 1, 4, 4, 2, 1, 2, 5, 4, 6, 4, 3, 1, 6, 3, 1, 1, 5, 5, 3, 2, 4, 6, 6, 5, 1, 2, 2, 6, 6, 2, 3, 6, 2, 1, 2, 5, 2, 2, 1, 4, 3, 3, 5, 3, 2, 1, 3, 1, 5, 1, 1, 4, 5, 3, 1, 2, 2, 5, 2, 4, 1, 2, 2, 3, 4, 6, 6, 1, 2, 6, 5, 5, 4, 3, 2, 1, 4, 3, 3, 4, 5, 3, 1, 5, 1, 4, 5, 4, 1, 2, 2, 2, 2, 4, 2, 6, 4, 2, 3, 5, 1, 3, 3, 2, 3, 2, 6, 4, 2, 3, 2, 4, 4, 3, 4, 2, 2, 1, 3, 1, 6, 5, 2, 3, 4, 5, 2, 5, 6, 6, 5, 2, 4, 1, 1, 5, 5, 5, 4, 2, 5, 1, 6, 5, 3, 6, 2, 2, 2, 6, 6, 1, 3, 4, 6, 3, 4, 4, 4, 2, 1, 2, 4, 3, 2, 5, 2, 1, 6, 1, 1, 3, 3, 4, 2, 6, 5, 3, 4, 2, 6, 3, 2, 6, 3, 1, 5, 5, 6, 1, 2, 4, 4, 6, 1, 4, 4, 4, 1, 4, 2, 1, 6, 4, 4, 6, 5, 4, 2, 2, 5, 1, 6, 1, 2, 3, 1, 1, 6, 6, 6, 2, 3, 2, 1, 1, 3, 5, 4, 2, 4, 4, 2, 1, 2, 2, 2, 4, 2, 1, 4, 2, 3, 3, 3, 4, 1, 4, 3, 2, 3, 3, 1, 6, 1, 3, 6, 1, 4, 2, 3, 3, 3, 3, 2, 5, 3, 4, 3, 2, 6, 3, 5, 1, 5, 4, 2, 3, 4, 3, 5, 5, 3, 2, 5, 5, 5, 6, 1, 2, 1, 2, 6, 1, 1, 1, 1, 5, 6, 6, 1, 3, 6, 4, 5, 6, 3, 4, 5, 3, 6, 5, 6, 1, 2, 5, 5, 2, 4, 5, 6, 2, 1, 2, 1, 3, 2, 4, 2, 3, 3, 2, 6, 4, 3, 4, 6, 4, 6, 4, 6, 5, 5, 1, 6, 4, 2, 3, 1, 2, 3, 5, 3, 4, 1, 4, 5, 2, 3, 5, 6, 1, 2, 2, 6, 6, 6, 2, 3, 6, 6, 6, 4, 6, 2, 4, 3, 4, 1, 2, 3, 4, 4, 5, 3, 4, 2, 5, 2, 3, 6, 3, 1, 4, 2, 6, 3, 6, 5, 2, 3, 5, 5, 3, 4, 6, 6, 4, 5, 5, 6, 5, 6, 5, 3, 2, 6, 2, 3, 5, 2, 1, 4, 1, 2, 3, 3, 5, 4, 2, 6, 2, 4, 2, 4, 2, 6, 5, 1, 6, 6, 2, 6, 4, 4, 1, 4, 6, 2, 4, 3, 3, 1, 4, 5, 4, 5, 6, 2, 2, 1, 2, 1, 1, 6, 6, 5, 2, 2, 4, 3, 6, 6, 4, 1, 3, 6, 6, 1, 2, 5, 5, 2, 5, 3, 4, 5, 2, 4, 2, 4, 1, 1, 3, 6, 5, 3, 4, 6, 4, 5, 3, 2, 1, 2, 4, 4, 4, 5, 5, 2, 4, 2, 3, 2, 1, 2, 5, 6, 1, 3, 6, 5, 1, 6, 3, 2, 3, 6, 5, 1, 1, 2, 2, 3, 1, 4, 6, 2, 6, 1, 4, 3, 5, 2, 4, 6, 6, 5, 6, 1, 2, 6, 4, 6, 1, 6, 4, 3, 1, 3, 1, 4, 3, 2, 5, 3, 1, 2, 3, 5, 1, 5, 4, 1, 4, 1, 6, 5, 6, 1, 5, 6, 5, 4, 3, 3, 1, 3, 1, 5, 4, 2, 5, 2, 6, 4, 2, 4, 2, 1, 4, 3, 6, 1, 6, 1, 5, 3, 5, 6, 2, 2, 4, 3, 3, 3, 1, 3, 4, 4, 3, 5, 5, 1, 6, 4, 4, 5, 1, 3, 6, 1, 3, 2, 2, 3, 5, 5, 5, 4, 5, 5, 5, 4, 5, 2, 4, 2, 5, 3, 6, 3, 5, 2, 2, 1, 3, 2, 1, 1, 5, 5, 2, 1, 2, 1, 4, 2, 1, 4, 5, 6, 1, 3, 2, 4, 6, 1, 5, 1, 1, 5, 2, 2, 4, 6, 5, 4, 1, 3, 2, 2, 2, 5, 4, 6, 6, 2, 1, 1, 3, 6, 1, 2, 4, 6, 3, 2, 5, 2, 5, 1, 4, 1, 2, 3, 1, 6, 1, 6, 2, 3, 6, 1, 6, 6, 1, 3, 5, 1, 4, 2, 3, 2, 6, 6, 2, 4, 6, 5, 5, 3, 1, 5, 2, 3, 3, 6, 6, 4, 5, 3, 2, 3, 4, 4, 4, 4, 3, 4, 2, 3, 4, 5, 3, 6, 4, 2, 5, 6, 4, 2, 3, 2, 1, 5, 3, 2, 4, 3, 1, 5, 5, 6, 6, 4, 3, 4, 5, 5, 6, 4, 4, 2, 3, 2, 1, 4, 2, 2, 5, 4, 1, 2, 4, 2, 5, 6, 2, 3, 3, 5, 1, 4, 3, 5, 2, 2, 5, 2, 4, 5, 4, 5, 1, 5, 1, 1, 4, 1, 6, 2, 6, 3, 3, 2, 2, 1, 3, 6, 5, 5, 2, 2, 2, 4, 1, 4, 3, 6, 1, 6, 2, 1, 3, 1, 1, 1, 5, 2, 4, 6, 5, 6, 4, 6, 4, 2, 1, 2, 4, 3, 3, 3, 3, 6, 2, 1, 1, 1, 6, 1, 3, 4, 6, 1, 1, 2, 3, 1, 2, 4, 4, 1, 6, 5, 4, 3, 4, 3, 5, 4, 4, 2, 6, 2, 5, 3, 3, 6, 6, 1, 6, 3, 4, 3, 6, 1, 4, 1, 3, 3, 1, 1, 3, 3, 6, 4, 3, 1, 5, 2, 2, 5, 4, 4, 3, 1, 3, 5, 5, 1, 6, 2, 5, 6, 1, 2, 2, 1, 6, 1, 4, 1, 1, 1, 5, 5, 5, 1, 4, 5, 2, 3, 6, 1, 6, 6, 2, 2, 3, 3, 4, 2, 3, 4, 1, 5, 1, 3, 3, 3, 6, 2, 4, 3, 5, 1, 4, 5, 1, 2, 4, 3, 6, 6, 5, 3, 1, 2, 1, 2, 2, 5, 3, 1, 6, 6, 4, 5, 1, 3, 5, 3, 5, 4, 2, 5, 4, 3, 1, 4, 3, 4, 5, 4, 6, 1, 5, 1, 4, 6, 4, 1, 1, 2, 4, 1, 6, 4, 5, 1, 4, 3, 1, 1, 1, 4, 2, 4, 3, 1, 3, 1, 4, 6, 2, 2, 3, 4, 3, 5, 6, 1, 5, 5, 6, 2, 2, 2, 6, 3, 3, 2, 6, 4, 5, 1, 3, 3, 5, 2, 1, 4, 4, 6, 5, 4, 5, 4, 1, 4, 4, 1, 1, 4, 6, 1, 3, 4, 2, 3, 3, 5, 3, 4, 4, 1, 6, 6, 1, 2, 6, 2, 5, 4, 4, 4, 2, 3, 1, 1, 2, 3, 5, 3, 1, 5, 4, 5, 3, 4, 2, 3, 2, 5, 3, 3, 6, 6, 6, 5, 1, 4, 3, 4, 1, 3, 2, 1, 6, 4, 5, 2, 5, 4, 3, 3, 5, 5, 5, 6, 6, 1, 5, 6, 1, 3, 5, 3, 3, 4, 2, 1, 4, 2, 1, 5, 2, 2, 6, 5, 1, 3, 1, 2, 4, 5, 3, 6, 5, 5, 4, 2, 2, 2, 6, 4, 2, 1, 3, 6, 4, 3, 3, 4, 4, 3, 3, 4, 5, 4, 5, 6, 3, 6, 2, 4, 3, 3, 4, 3, 6, 5, 6, 3, 6, 4, 3, 6, 3, 3, 5, 5, 4, 4, 5, 4, 2, 5, 6, 2, 2, 2, 3, 4, 2, 5, 3, 2, 2, 6, 2, 5, 4, 1, 5, 5, 1, 2, 5, 5, 6, 3, 3, 4, 5, 5, 3, 4, 3, 2, 6, 1, 2, 1, 4, 6, 4, 5, 1, 3, 3, 3, 3, 4, 1, 3, 3, 2, 2, 1, 2, 2, 3, 4, 6, 2, 2, 2, 4, 3, 3, 5, 2, 5, 1, 4, 4, 5, 6, 3, 3, 3, 6, 4, 2, 2, 1, 2, 1, 1, 2, 6, 4, 3, 3, 2, 6, 6, 6, 2, 3, 3, 6, 4, 6, 3, 2, 2, 1, 4, 1, 1, 3, 1, 5, 2, 2, 2, 1, 6, 4, 1, 6, 6, 2, 5, 2, 1, 3, 2, 4, 3, 6, 3, 2, 1, 6, 2, 2, 1, 1, 4, 4, 2, 5, 1, 2, 5, 2, 2, 4, 5, 3, 4, 6, 1, 2, 2, 5, 1, 1, 3, 6, 5, 6, 3, 2, 1, 2, 4, 4, 1, 1, 1, 5, 2, 6, 3, 4, 4, 5, 4, 5, 2, 4, 6, 4, 5, 4, 4, 5, 1, 3, 4, 2, 3, 2, 5, 3, 4, 4, 2, 6, 6, 5, 1, 1, 1, 4, 4, 5, 3, 5, 6, 5, 4, 6, 6, 1, 1, 2, 4, 5, 1, 1, 5, 6, 5, 5, 5, 5, 4, 3, 3, 5, 6, 6, 1, 2, 3, 6, 3, 2, 3, 4, 4, 3, 5, 3, 4, 2, 1, 4, 6, 2, 2, 5, 3, 2, 1, 5, 5, 4, 4, 3, 5, 3, 4, 4, 1, 1, 5, 3, 6, 1, 1, 2, 2, 5, 3, 2, 5, 2, 5, 6, 4, 4, 2, 3, 1, 3, 6, 1, 1, 2, 5, 2, 2, 5, 3, 1, 6, 1, 4, 4, 3, 3, 5, 4, 2, 2, 3, 6, 2, 1, 2, 3, 1, 5, 5, 1, 2, 4, 5, 4, 6, 2, 4, 4, 4, 4, 6, 1, 4, 5, 2, 4, 5, 2, 5, 3, 2, 5, 3, 6, 5, 4, 2, 2, 5, 1, 1, 4, 1, 3, 1, 2, 5, 3, 6, 4, 4, 1, 1, 6, 1, 5, 3, 2, 6, 3, 1, 4, 4, 1, 1, 5, 4, 4, 6, 5, 4, 1, 3, 3, 2, 3, 6, 6, 5, 3, 2, 2, 4, 6, 1, 3, 1, 6, 1, 2, 3, 1, 1, 2, 6, 4, 4, 1, 6, 5, 1, 6, 1, 4, 1, 6, 3, 3, 6, 1, 5, 5, 6, 3, 2, 4, 2, 1, 2, 4, 1, 2, 6, 6, 1, 3, 3, 4, 6, 3, 5, 4, 6, 6, 2, 1, 2, 1'

[damned]

and here is one more drop of 10,000

[seycyrus]

If you scroll up and down, again and again, you can see the woman in the red dress.

[damned]

If you scroll up and down, again and again, you can see the woman in the red dress.

I saw something different!

[Weissrolf]

Both of these are only 9981 rolls with a mean of 3.45 (instead of 3.5) and 2D6 mean of 6.90 (instead of 7).

I calculated the number of doubles and specific doubles for roll2.txt. On average there should be 1663 total doubles if we roll both 1+2 and 2+3 as doubles (9980 rolls), there should be 277 of each specific double then.

Doubles: 1746

1s: 295
2s: 326
3s: 282
4s: 328
5s: 237
6s: 278

At least for the sample size of 9981 rolls the means don't match the expected values. So either we need an even larger sample-size or the rolls are not as random as we would like them to be (or your extension is bugged :P).