Hi all!

Could you please help me? Maybe I'm missing something in the 'Pure'
problem.

I downloaded a solution, and the answer for the input '7' was 14.
however, I only found 13 valid subsets, where 7 is 'Pure'.

so I thought:
we should select subsets of this set:
{2,3,4,5,6,7}

the subsets I found:
{7}
{2,7}
{2,3,7}
{3,4,7}
{3,5,7}
{3,6,7}
{2,3,4,7}
{2,4,5,7}
{2,4,6,7}
{4,5,6,7}
{2,3,4,5,7}
{2,3,5,6,7}
{2,3,4,5,6,7}

there should be one more however... :/

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