Galle wrote, in part:
> * If eir Operator is Product, pay 5 spendies, an X card, and a Y card
>   to grant emself a number card with a type equal to the last digit
>   of the product X * Y.
> * If eir Operator is Sum, pay 6 spendies, an X card, and a Y card to
>   grant emself a number card with a type equal to the last digit of
>   the sum X + Y.
> * If eir Operator is Difference, pay 8 spendies, an X card, and a Y
>   card to grant emself a number card with a type equal to the last
>   digit of the difference X - Y.
> ---
> ===
>
> Both previous attempts at Operands were rejected largely due to the
> fact that the Operands were clearly unbalanced, with the non-
> commutative Operands being much stronger than the commutative ones.
> This is an attempt to balance them out by varying the crafting cost.
> Product is cheaper than Sum due to being useless when used on a 1
> card

Why is Difference more expensive than Sum?  They *seem* to be equally
strong.  But in fact a check reveals that Sum is stronger:  Of the 100
possible combinations of X and Y (accounting for order), the following
results (sums and differences) appear as many times as noted:

result  sums  differences
   0     10        10
   1     10        18
   2     10        16
   3     10        14
   4     10        12
   5     10        10
   6     10         8
   7     10         6
   8     10         4
   9     10         2     (only 9,0 and 0,9)

Yours,
msh210

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