# Array-Based Tree, Heaps, Binary Files and Bit Sets

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Assume that v is an array-based tree with 70 members.

(a). Is v[45] a leaf node?

(b). What is the index of the first leaf node?

(c). What is the parent of v[50]?

(d). What are the children of v[10]?

(e). Does any item have exactly one child?

(f). What is the depth of the tree?

(g). How many leaf nodes does the tree have?

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##### Solution Summary

Array-based tree, heaps, binary files and bit sets are examined.

##### Solution Preview

An array-based tree with 70 members has the following structure.

level 1: v[0]

level 2: v[1], v[2]

level 3: v[3], v[4], v[5], v[6]

level 4: v[7], v[8], v[9], v[10], v[11], v[12], v[13], ...

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