What is the location of a parent node for any arbitary node i?

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Editor">Editor Staff asked 3 months ago

What is the location of a parent node for any arbitary node i?
 
(a) (i/2) position
 
(b) (i+1)/ position
 
(c) floor(i/2) position
 
(d) ceil(i/2) position
 
The above asked question is from Binary Heap topic in chapter Heap of Data Structures & Algorithms I
 
This question was posed to me by my school teacher while I was bunking the class.

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Editor">Editor Staff answered 3 months ago

Right choice is (c) floor(i/2) position
 
The best I can explain: For any node child nodes are located at either 2*i, 2*i +1 So the parent node could be found by taking the floor of the half of child node.

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