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




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



