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Euler and the Modern Army (Posted on 2020-05-22) Difficulty: 3 of 5

Euler's 36 officers problem has been in the news recently, following the passing of the last of 'Euler's Spoilers'.

It notoriously has no solution for the 6x6 square with 6 officers (colonel, lieutenant-colonel, major, captain, lieutenant, and sub-lieutenant) and 6 regiments.

One possible modification, while still keeping 6 regiments, would be to allow substitution of a junior officer (or officers) in one or more of the regiments by a new rank - say, Sensitivity Counsellor, or SC - more reflective of the needs and aspirations of a modern-day military.

What is the minimum number of SC's needed to make the problem solvable?

No Solution Yet Submitted by broll    
Rating: 4.5000 (2 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
No Subjectlawrencecaroll2024-01-14 17:07:19
solutionSteven Lord2020-05-27 01:34:38
re: thought problem about this problem....Brian Smith2020-05-26 19:26:32
thought problem about this problem....Steven Lord2020-05-26 17:00:09
re(2): solution methodsSteven Lord2020-05-26 12:42:15
re: solution methodsSteve Herman2020-05-26 08:50:55
solution methodsSteven Lord2020-05-25 10:17:36
No SubjectSteven Lord2020-05-25 07:42:51
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