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EXAMPLE
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The a(6) = 3, a(10) = 11, and a(12) = 16 subsets:
{1,3,5,6} {1,2,4,5,6,7,10} {1,2,3,4,5,6,7,8,12}
{1,2,3,4,6} {1,2,3,4,5,7,8,10} {1,3,4,5,6,7,8,10,12}
{2,3,4,5,6} {1,2,3,4,6,7,9,10} {1,3,4,6,7,8,9,10,12}
{1,2,3,5,6,7,8,10} {1,3,4,5,6,8,10,11,12}
{1,2,3,5,7,8,9,10} {1,2,3,4,5,6,8,9,10,12}
{1,2,5,6,7,8,9,10} {1,2,3,4,6,7,8,9,11,12}
{1,3,4,5,6,7,9,10} {1,2,3,5,6,7,8,9,10,12}
{1,3,4,6,7,8,9,10} {1,2,3,5,6,7,8,9,11,12}
{1,4,5,6,7,8,9,10} {1,3,4,5,6,7,8,9,11,12}
{1,2,3,4,5,6,8,9,10} {1,2,3,4,6,7,8,10,11,12}
{2,3,4,5,6,7,8,9,10} {1,2,3,4,6,8,9,10,11,12}
{1,3,5,6,7,8,9,10,11,12}
{1,2,3,4,5,6,7,9,10,11,12}
{1,2,3,4,5,7,8,9,10,11,12}
{1,2,4,5,6,7,8,9,10,11,12}
{2,3,4,5,6,7,8,9,10,11,12}
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