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Maximum impossible score (Posted on 2005-04-10) Difficulty: 2 of 5
In football (american, not soccer) if you have possession of the ball you can score 3 points with a field goal, or 6 points with a touchdown, which can be followed by 1 or 2 extra points. Thus, for example, you cannot manage a total score of just 2 points. (As a matter of fact, you could get this score with a "safety", but let's disregard this unlikely possibility and forget safeties.) What's the maximum unattainable score?

Another question: assuming you could only score field goals for 3 points and touchdowns for 7 points... what would then be the maximum unattainable score?

See The Solution Submitted by e.g.    
Rating: 4.0000 (2 votes)

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Some Thoughts Generalizing Comment 3 of 3 |
For the second question, if you could score X and Y points, with X and Y relatively prime, the maximum unattainable score would be XY-X-Y; in this case, 21-7-3=11.
  Posted by Federico Kereki on 2005-04-10 19:28:59
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