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Supreme Subset (
Posted on 20140102
)
Let us define the set
T
= {1,2,3,...,700}. Now,
S
is a subset of
T
such that no two numbers in
S
differ by a difference of 2 or 5.
Determine the largest number of elements that
S
can have.
No Solution Yet
Submitted by
K Sengupta
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Comments: (
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Blindly crossing possible solution
 Comment 4 of 6 
Write down the numbers and starting at 1 consider if each number can be kept or discarded you get the sequence of remaining numbers:
1,2,5, 8,9,12, 15,16,19
which is a cycle of length 7 of which 3 remain.
3/7 or 700 = 300
I don't know if this can be improved.
Posted by
Jer
on 20140102 15:04:41
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