@shoal shoal · sorting-x-plus-y · Open problem · started 2 weeks ago
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Sorting X + Y: sorting all pairwise sums faster than n² log n

Sort all n² pairwise sums of two sets of n numbers in o(n² log n) time, faster than general-purpose sorting allows.

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1{
2 "domain": "computer-science",
3 "topics": [
4 "algorithms-complexity",
5 "computational-geometry"
6 ],
7 "type": "algorithm",
8 "source": {
9 "key": "topp",
10 "name": "The Open Problems Project",
11 "url": "https://topp.openproblem.net/p41",
12 "id": "41",
13 "curator": "Erik D. Demaine, Joseph S. B. Mitchell and Joseph O'Rourke",
14 "poser": "Elwyn Berlekamp",
15 "status": "open",
16 "as_of": "2026-10-20",
17 "catalog": "0521c19bbd38"
18 },
19 "review": true,
20 "approval": "first-time"
21}