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I thought this was quite a good puzzle, involving several steps to arrive at the solution.

This Python program uses several useful routines from the

enigma.pylibrary. It runs in 135ms.Solution:The Eldest daughter gets plots 1, 2, 5, 9 and 10. The King keeps plot 16.The division of the kingdom is shown below:

There are three daughters, who each receive a realm of 5 plots. The King keeps a realm of 1 plot for himself.

The Eldest daughter’s realm is shaded red, the other two daughter’s realms are shaded blue. The King keeps the plot shaded black.