Given a full binary tree with n internal nodes how many leaf nodes does it have
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In short, a full binary tree with N leaves contains 2N - 1 nodes. Explanation and the core concept: In afull binary tree, at each level k, there are 2^k nodes. Total number of nodes,N = 2^0 + 2^1 + 2^2 + ……… + 2^h , where h is the height of the full binary tree
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A full binary tree contains 2×(n-1) nodes.
Definition of full binary tree;
Full binary tree called as 2 tree in which they contain maximum two nodes.
Features of full binary tree;
- A binary tree ha a root node having the same value. The minimum and maximum value is 0-2.
- The value contains the sub tree. Every sub tree contains children and their children representing the nodes of a tree.
- The value of left side nodes are lesser than the current node which is automatically less than the right one.
- Binary tree built the on the binary search algorithm that allows for fast lookup, insertion and removal of nodes.
Therefore the binary tree with the binary search algorithm responsible for the insertion, fast lookup, and removal and adding of nodes.
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