• DiceRolling 12 6-sided dice:
    5, 2, 3, 5, 3, 5, 4, 3, 5, 1, 3, 4


  • DiceRolling 10 6-sided dice:
    3, 1, 2, 4, 6, 3, 4, 4, 3, 6


  • DiceRolling 21 6-sided dice:
    5, 5, 4, 1, 6, 6, 4, 4, 4, 3, 5, 1, 5, 1, 3, 4, 1, 1, 1, 3, 4

    DiceRolling 11 6-sided dice:
    5, 5, 6, 2, 6, 1, 2, 5, 2, 4, 4


  • DiceRolling 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

    DiceRolling 11 6-sided dice:
    6, 3, 1, 5, 1, 2, 1, 3, 1, 3, 6


  • DiceRolling 6 6-sided dice:
    3, 5, 5, 4, 3, 4


  • That’s really cool!!

  • 2007 AAR League

    :dice4d6:

  • 2007 AAR League

    DiceRolling 4 6-sided dice:
    6, 4, 2, 4


  • DiceRolling 4 6-sided dice:
    3, 5, 5, 6


  • <:>6d6<:>

  • 2007 AAR League

    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…

  • 2007 AAR League

    :8d6:

  • 2007 AAR League

    Doh - RTFM, eh?

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

    just trying it out, neat concept…


  • :dice10d6:
    :-)


  • DiceRolling 10 6-sided dice:
    5, 5, 3, 3, 1, 2, 5, 5, 3, 5

  • 2007 AAR League

    Testing….

    DiceRolling 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

  • 2007 AAR League

    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.

    DiceRolling 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, 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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

  • 2007 AAR League

    Gimme a sec…. counting…

  • 2007 AAR League

    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-)

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