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Topic: Sum Of Products, Number Of Numbers Game
Replies: 2   Last Post: Aug 10, 2011 12:05 PM

 Messages: [ Previous | Next ]
 Dan Hoey Posts: 172 Registered: 12/6/04
Re: Sum Of Products, Number Of Numbers Game
Posted: Aug 3, 2011 1:37 PM

On 8/3/11 11:35 AM, Leroy Quet wrote:
[...]
> Player 1 gets the sum of the scores for each row. The score for a row
> is (the number of 1's in the row) * (the number of 2's in the row) *
> (the number of 3's in the row) *...(the number of m's in the row),
> where m is the largest integer such that all integers 1 through m
> occur in that row.
>
> Player 2 gets the sum of the scores for each column. The score for a
> column is (the number of 1's in the column) * (the number of 2's in
> the column) * (the number of 3's in the column) *...(the number of m's
> in the column), where m is the largest integer such that all integers
> 1 through m occur in that column.
>
> A player gets no points for a row/column if there are no 1's in that
> row/column.

[...]

The last stipulation seems gratuitously irregular. It would be more
consistent for rows without any 1s to score as the empty product, 1.

Dan

Date Subject Author
8/3/11 Leroy Quet
8/3/11 Dan Hoey
8/10/11 Leroy Quet