A strongly polynomial algorithm for linear programming

Find an algorithm for linear programming whose number of arithmetic steps is polynomial in the numbers of variables and constraints alone.

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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/p8",
12	"id": "8",
13	"curator": "Erik D. Demaine, Joseph S. B. Mitchell and Joseph O'Rourke",
14	"poser": "Nimrod Megiddo",
15	"status": "open",
16	"as_of": "2026-10-20",
17	"catalog": "0521c19bbd38"
18	},
19	"review": true,
20	"approval": "first-time"
21	}