leaf nodes are on the same level. 1) The maximum number of nodes at level ‘l’ of a binary tree is 2 l. Here level is number of nodes on path from root to

I have a perfect binary tree, i.e. Level of a node is distance from root to that node. each node in the tree is either a leaf node, or has two children, and all leaf nodes are on the same level. Count the number of nodes at given level l. It may be assumed that vertex 0 is root of the tree. A perfect binary tree is a binary tree in which all interior nodes have two children and all leaves have the same depth or same level. An example of a perfect binary tree is the (non-incestuous) ancestry chart of a person to a given depth, as each person has exactly two biological parents (one mother and one father). For example, level of root is 1 and levels of left and right children of root is 2. If binary tree has height h, minimum number of nodes is h+1 (in case of left skewed and right skewed binary tree).


Given a tree represented as undirected graph. Examples: Input : … If binary tree has height h, maximum number of nodes will be when all levels are completely full. Teams Q&A for Work Stack Overflow for Teams is a private, secure spot for you and your coworkers to find and share information.
In short, a full binary tree with N leaves contains 2N - 1 nodes. We have discussed Introduction to Binary Tree in set 1.In this post, properties of binary are discussed. For example, the binary tree shown in Figure 2(a) with height 2 has 3 nodes.