Can anyone tell actually what's the behind that problem.I proved many individual cases but didn't find any formula or pattern, except for the numbers given by n(n+1)/2.
slycelote
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14 years ago,
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It's quite easy to prove by induction that the set of points accessible after n jumps is {-n(n+1)/2, -n(n+1)/2 + 2, ... , n*(n+1)/2-2, n*(n+1)/2}. Just move this set by (n+1) and -(n+1) and see what happens.
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