98105 – We Solve Problem

Problem № 98105 11-13

In a certain kingdom there were 32 knights. Some of them were vassals of others $($ a vassal can have only one suzerain, and the suzerain is always richer than his vassal $)$. A knight with at least four vassals is given the title of Baron. What is the largest number of barons that can exist under these conditions?
$($ In the kingdom the following law is enacted: ” the vassal of my vassal is not my vassal”$)$.


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