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I imagine that an array is given and air is visualized as so we can see that array has a complete binary tree now what we want to do is we want to define certain formulas and letamp;#39;s say the formula even could define is first one is given the parent index now imagine the index of seven is given to you we want to tell what will be the index of its left child by four for the index is mine so we have to define a formula if parent index is given P I stands for parent index here how do we calculate the left child index same way we want to know if parent index is given can we come up with a formula which can say a right child will always be at this particular index so we need to come up with this formula and same with the reverse also so if you are given a child index letamp;#39;s say if I give you index of seven for our answer should be the parent of four is one so we have to go the other way for any given index in this array we have to tell who will be the left child who will be the