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	+}