Five children play a game in which players either gain 1 point or lose 1 point. After several games, the number of points won is equalto the number of points lost. If no two children have the same final score and the overall winner has fewer points than the child with the lowest score lost, whaqt is the greatest possible lowest score?

Question

Five children play a game in which players either gain 1 point or lose 1 point.  After several games, the number of points won is equalto the number of points lost.  If no two children have the same final score and the overall winner has fewer points than the child with the lowest score lost, whaqt is the greatest possible lowest score?

MathMate · Answer

Here "greatest" lowest score is interpreted to be the least negative score.
Constraints:
- sum of positive scores = sum of negative scores
- no two score is the same

So try 2,1,0,-1,-2
so that -2 is the least negative score.

gabismith · Answer

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