Markus Schulze wrote:
...  implementation
had a runtime of O(NumberOfCandidates^5) while the Floyd algorithm
has a runtime of O(NumberOfCandidates^3).

I wonder. Was it really known whether the innermost loop could be entered n^4 times?

The number of nested loops is not the final determinant of runtime, although it obviously gives the worst case. If it could be proven that the next-to-innermost loop is entered at most n times, then runtime would still be n^3.

Bart
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