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EXAMPLE
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For n = 1 the set is {1}
For n = 2 the sets are {1,2,4,7}, {3,5,6}.
For n = 3 the sets are {2,10,13}, {4,7,8,12}, {1,3,5,6,9,11}.
For n = 4 the sets are {2,9,15}, {1,7,8,14}, {4,5,10,13}, {3,6,11,12}.
For n = 5 the sets are {4,6,9,19}, {1,13,18}, {3,14,17}, {2,7,8,11,16}, {5,10,12,15}.
For n = 6 the sets are {1,3,6,27,31}, {4,12,26,30}, {5,7,14,25,29}, {2,8,20,22,28}, {9,13,15,18,19,24}, {10,11,16,17,21,23}.
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