Question

Which one of the following is the correct formulae to find the parent node at index I?

(a) (I-1)/K

(b) (I+1)/K

(c) (I*1)/K

(d) (I-2)/K

The question is from K-ary Tree in division Trees of Data Structures & Algorithms I

I got this question in a national level competition.

Answer 1

The correct option is (a) (I-1)/K

To explain: The parent node for the node of index I in a K-ary tree is given by (I-1)/K.