Know your heaps

Computer Science Level pending

R R is a root of some tree in a Fibonacci heap. Right before a deletemin operation, R R has no children and that after the deletemin R R has 10 children. Let C C be the set of children of R R after the delete and let ranks(C) be the set of rank values for the nodes in C C (since this is a set, if several nodes in C C have the same rank, their rank value appears just once in ranks(C) . What is the largest value in ranks(C) right after the deletemin ?


The answer is 9.

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