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This is a precursor of

Enigma 1137(which was published 10 weeks after this puzzle).Having already solved the second part of

Enigma 1137we know that there will be a sequence that turns all the lights off if they all start off illuminated.The same program used to solve the first part of

Enigma 1137can also be used to solve this puzzle.This Python program runs in 167ms.

Solution:Matron should operate switches A, D, E, F, I, J, M to turn off all the lights.This is the only solution.